JURUSAN PENDIDIKAN SENI MUSIK HANNA SRI MUDJILAH
advertisement
JURUSAN PENDIDIKAN SENI MUSIK HANNA SRI MUDJILAH e-mail: hanna@uny.ac.id FAKULTAS BAHASA DAN SENI UNIVERSITAS NEGERI YOGYAKARTA 2010 HALAMAN PENGESAHAN DIKTAT: TEORI MUSIK 2 Oleh: Hanna Sri Mudjilah Disahkan oleh: Ketua Jurusan Pendidikan Seni Musik, Dra. Heni Kusumawati, M.Pd NIP. 19671126 199203 2 001 ii KATA PENGANTAR Teori Musik 2 merupakan lanjutan dari Teori Musik 1 yang harus ditempuh setiap mahasiswa Program Studi Pendidikan Seni Musik, FBS UNY. Mata kuliah dilaksanakan pada semester 2, merupakan mata kuliah wajib tempuh dan prasyarat bagi mata kuliah Harmoni 1. Hal ini dimaksudkan, jika seorang mahasiswa belum lulus dalam mata kuliah Teori Musik 2, maka pada semester 3 tidak dapat menempuh mata kuliah Harmoni 1. Diktat Teori Musik 2 ini diharapkan dapat menambah sumber bacaan yang membahas tentang teori musik tingkat lanjut. Setelah mempelajari Teori Musik 2 ini, diharapkan mahasiswa dapat lebih menguasai dan memahami teori musik. Pembahasan dalam Teori Musik 2, diawali dengan pengulangan beberapa materi pada Teori Musik Dasar, untuk mengingatkan kembali materi yang telah dikuasai pada semester 1, sehingga pembahasan pada materi Teori Musik 2 dapat saling terkait. Pembahasan Teori Musik 2, lebih ditekankan pada pembahasan tentang dasar-dasar penggunaan akor (harmoni), dan pengenalan penggunaan teknologi informasi melalui searching beberapa materi yang dapat dilakukan secara on-line. Diktat Teori Musik 2 ini disusun dengan susunan sebagai berikut : Bab I Interval, Modus, dan Tangganada, Bab II Akor, Bab III Menulis Melodi, Bab IV Tekstur Vokal 4 Suara (SATB), Bab V Suplemen. Suplemen pada bab terakhir ini merupakan pengayaan yang harus dilakukan oleh mahasiswa dengan mencari dan mendalami beberapa materi teori musik melalui internet maupun secara on-line. iii DAFTAR ISI HALAMAN JUDUL i HALAMAN PENGESAHAN ii KATA PENGANTAR iii DAFTAR ISI iv DAFTAR GAMBAR vi DAFTAR TABEL viii BAB I INTERVAL, MODUS, dan TANGGANADA _______________ 1 A. Interval _______________________________________ 1 B. Modus ________________________________________ 6 C. Tangganada (Scale) ______________________________ 8 D. Sistem Penalaan dan Temperament _________________ BAB II BAB III 9 Pendalaman Materi ______________________________ 14 AKOR ______________________________________________ 15 A. Konsonan dan Disonan ___________________________ 15 B. Triad _________________________________________ 16 C. Akor Seventh dan Superimposed Thirds _____________ 17 D. Simbol Akor ___________________________________ 19 Pendalaman Materi ______________________________ 28 MENULIS MELODI __________________________________ 30 A. Bentuk Strophic Kecil ____________________________ 30 B. Simetri dan Balance _____________________________ 32 C. Struktur Metrik _________________________________ 32 D. Melodic Cadences _______________________________ 33 E. The Final Cadence ______________________________ 34 F. Interior Cadence ________________________________ 35 G. Extensions and Irregularities _______________________ 37 Pendalaman Materi ______________________________ iv 39 BAB IV BAB V TEKSTUR VOKAL 4 SUARA (SATB) ___________________ 40 A. Range Suara ___________________________________ 40 B. Pen-dobel-an ___________________________________ 41 C. Spasi, Jarak, Gerak, dan Persilangan Suara ___________ 42 D. Inversi Akor ___________________________________ 44 E. Larangan dalam penulisan empat suara ______________ 45 Pendalaman Materi _____________________________ 49 SUPLEMEN _________________________________________ 50 A. Other Clefs ____________________________________ 50 B. Time Signature _________________________________ 51 C. Triplet ________________________________________ 52 D. Triads & Chords ________________________________ 53 E. Harmonic Cadence ______________________________ 57 F. Other Scales ___________________________________ 64 G. Altered Chords _________________________________ 66 H. Musical Analysis ________________________________ 69 I. Harmonic or Overtone Series ______________________ 72 J. Pythagorean Series ______________________________ 75 K. Meantone Scale _________________________________ 77 L. Equal Temperament _____________________________ 79 M. Just Intonation __________________________________ 80 N. Pythagorean ____________________________________ 81 O. Timbre/Tone Colour _____________________________ 82 Pendalaman Materi ______________________________ 85 DAFTAR PUSTAKA v DAFTAR GAMBAR Halaman Gambar 1 Interval _____________________________________ 1 Gambar 2 Median-sub Median, Dominan-sub Dominan _______ 4 Gambar 3 Modus ______________________________________ 6 Gambar 4 Modus dengan Tonika C _______________________ 7 Gambar 5 Tonika Modus ________________________________ 7 Gambar 6 Whole-Tone Scales ____________________________ 8 Gambar 7 Augmented Chords ____________________________ 8 Gambar 8 Pentatonic Scales _____________________________ 9 Gambar 9 Other Scales _________________________________ 9 Gambar 10-11 Pythagorean Scales ____________________________ 10 Gambar 12 Overtone Series ______________________________ 11 Gambar 13 Just Intonation _______________________________ 11 Gambar 14 Pythagorean-Just Intonation _____________________ 11 Gambar 15 Mean-Tone Temperament ______________________ 12 Gambar 16 Sistem Penalaan ______________________________ 13 Gambar 17 Overtone Series ______________________________ 15 Gambar 18 Consonance-Dissonance ________________________ 16 Gambar 19 Superimposed Thirds __________________________ 16 Gambar 20 Kualitas Akor ________________________________ 16 Gambar 21 Triad _______________________________________ 17 Gambar 22 Inverse Triads ________________________________ 17 Gambar 23 Suspensi-Passing Tones ________________________ 18 Gambar 24 Seventh Chords _______________________________ 18 th th th Gambar 25-26 9 , 11 , 13 Chords ___________________________ 19 Gambar 27 Akor dalam Tangganada Mayor __________________ 19 Gambar 28 Akor dalam Tangganada minor __________________ 20 Gambar 29-30 Simbol Akor _________________________________ 20 Gambar 31 Akor Seventh dalam Tn. Mayor __________________ 21 vi Gambar 32 Akor Seventh dalam Tn.Minor ___________________ 21 Gambar 33-36 Alterasi pada Akor ____________________________ 21-23 Gambar 37-38 Figure Bass __________________________________ 23-24 Gambar 39-47 Simbol Akor dalam Musik Populer dan Jazz________ 25-27 Gambar 48-50 Kalimat, Phrase, Periode _______________________ 31-32 Gambar 51-54 Struktur Metrik _______________________________ 33 Gambar 55-57 The Final Cadence ____________________________ 34-35 Gambar 58-59 Ritmik Metrik ________________________________ 36-37 Gambar 60-62 Extensions and Irregularities ____________________ 37-38 Gambar 63 Range SATB _________________________________ 40 Gambar 64-66 Pen-double-an ________________________________ 41-42 Gambar 67-69 Posisi Akor __________________________________ 42-43 Gambar 70 Overlapping _________________________________ 44 Gambar 71-72 Akor Pembalikan _____________________________ 44-45 Gambar 73-76 Penulisan Empat Suara _________________________ 45-46 Gambar 77 Range Suara Vokal ____________________________ 47 Gambar 78 Triplet ______________________________________ 52 Gambar 79-80 Perfect Cadence ______________________________ 59 Gambar 81 Plagal Cadence _______________________________ 61 Gambar 82 Imperfect Cadence ____________________________ 62 Gambar 83 Interrupted Cadence ___________________________ 63 Gambar 84 Six-Four Cadence _____________________________ 63 Gambar 85 Feminine Endings _____________________________ 64 Gambar 86 Blues Scales _________________________________ 65 Gambar 87 Blues Style __________________________________ 66 Gambar 88 Altered Chords _______________________________ 67-68 Gambar 89 Neapolitan Sixth Chords _______________________ 69 Gambar 90 Overtone Series ______________________________ 74 Gambar 91 Pythagorean Series ____________________________ 76 vii DAFTAR TABEL Halaman Tabel 1 Interval _____________________________________ 2 Tabel 2 Akor Pembalikan _____________________________ 47 Tabel 3 Akor Seventh Pembalikan ______________________ 48 Tabel 4 Kunci Oktaf _________________________________ 50 Tabel 5 Tanda Birama ________________________________ 51 Tabel 6 Other Lets ___________________________________ 53 Tabel 7 Non-Harmonic Notes __________________________ 71-72 Tabel 8 Pythagorean Intervals __________________________ 76-77 viii BAB I INTERVAL, MODUS, DAN TANGGANADA Pengertian tentang Interval telah dijelaskan pada Teori Musik 1. Akan tetapi pada Teori Musik 2, kembali akan dijelaskan tentang Interval secara singkat, agar penjelasan materi yang akan dibahas selanjutnya mendapatkan gambaran yang lebih jelas. Bab ini terdiri dari 4 subbab, yaitu Interval, Modus, Tangganada, dan Sistem Penalaan. A. Interval 1. Interval Sederhana (Simple Interval) Interval adalah “jarak” antara nada satu ke nada yang lain. Setiap interval diberikan nama yang mengandung arti kuantitas dan kualitas. Dalam sebuah tangganada ada 7 (tujuh) nada yang masing-masing mempunyai nama kuantitas interval, sebagai berikut : Gambar 1. Interval c’ – c’ : prime c’ – g’ : kuin c’ – d’ : secondo c’ – a’ : sekst c’ – e’ : terts c’ – b’ : septim c’ – f‘ : kuart c’ – c” : oktaf Sedangkan nama kualitas interval dibagi ke dalam 2 (dua) kelompok dasar, yaitu: Interval Perfect (murni) : - Interval Prime (1) - Interval Kuart (4) - Interval Kuin - Interval Oktaf Interval Mayor (besar) : (5) (8) - Interval Secondo ( 2 ) - Interval Terts (3) - Interval Sekst (6) - Interval Septim ( 7 ) Teori Musik 2 Page 1 Untuk lebih jelasnya, berikut ini akan disajikan dalam bentuk diagram sebagai berikut Tabel 1. Interval AUGMENTED 2 3 6 7 MAYOR PERFECT 1 4 5 8 MINOR DIMINISHED Nama-nama kualitas dan kuantitas dari suatu interval biasa ditulis dengan menggunakan simbol-simbol, sebagai berikut : Prime : mayor (besar) m : minor (kecil) A : augmented (lebih) d : diminished (kurang) P : perfect (murni) : 1 (1st) nd Kuin : 5 (5th) Secondo : 2 (2 ) Sekst : 6 (6th) Terts : 3 (3rd) Septim : 7 (7th) Oktaf : 8 (8th) Kuart Contoh : M : 4 th (4 ) P 4th = P 4 : Kuart perfect = kuart murni M 2nd = M 2 : Secondo mayor = sekondo besar, dsb. Cara memberikan nama-nama pada suatu interval, adalah : a. Pertama-tama lihat nada yang terletak di bawah, dan tentukan nada tersebut sebagai tonika. Teori Musik 2 Page 2 b. Anggaplah interval tersebut terdapat dalam tangganada dengan tonika adalah nada bawah tersebut. c. Jika nada atas merupakan salah satu nada yang terdapat dalam tangganada tersebut, maka interval itu adalah interval dasar, yang belum mengalami perubahan. Akan tetapi jika nada atas tersebut bukan salah satu nada dari nada-nada dalam tangganada, maka nada tersebut sudah mengalami perubahan. Perubahannya dapat berupa nada yang diperlebar ataupun dipersempit. Sesudah mengetahui apakah nada atas diperlebar atau dipersempit, maka dengan melihat pada tabel 1 di atas, sudah dapat menentukan nama interval tersebut. Contoh d5 A5 P5 P4 M7 P5 d4 d6 : A2 d5 A4 A3 d3 M7 m6 A5 Apabila interval Augmented diperlebar sebanyak 1 semitone, maka interval tersebut akan menjadi interval double augmented. Sebaliknya, jika interval diminished dipersempit sebanyak 1 semitone, maka interval tersebut akan menjadi interval double diminished. Teori Musik 2 Page 3 Contoh : dd5 AA5 Pada nama tingkatan nada dalam tangganada, terdapat istilah “super”, berarti “atas”, dan “sub-, berarti “bawah”. Hal ini dapat dipahami pada pengertian dominan adalah interval kuin di atas tonika, sedangkan sub-dominan adalah interval kuin di bawah tonika. Jadi, apabila nada C adalah tonika, maka nada dominan adalah nada dengan interval kuin di atas tonika, yaitu G (dominan), dan nada sub-dominan adalah nada dengan interval kuin di bawah tonika, yaitu nada F (sub-dominan). Demikian juga, nada median adalah nada dengan interval terts di atas tonika, yaitu E (median), dan nada sub-median adalah nada dengan interval terts di bawah tonika, yaitu A (submedian). Sub-median Tonika Median Dominan Sub-dominan Gambar 2. 2. Interval Pembalikan Jika nada bawah dari sebuah interval diletakkan sebagai nada atas (dinaikkan 1 oktaf), atau jika nada atas dari sebuah interval diletakkan sebagai nada bawah (diturunkan 1 oktaf), maka interval tersebut dikatakan sebagai interval pembalikan (invertion). Sehingga interval sekondo akan menjadi interval septim, interval terts menjadi interval sekst, dan interval kuart akan menjadi interval kuin. Sedangkan kualitas interval mayor akan menjadi interval minor, interval augmented akan menjadi interval diminished, interval perfect akan tetap menjadi interval perfect, demikian sebaliknya. 1 >< 8 Mayor >< 2 >< 7 Augmented >< minor diminished 3 >< 6 Perfect >< Perfect 4 >< 5 Teori Musik 2 Page 4 Contoh : m3 M7 m2 P5 P5 P4 P8 P1 A2 d7 m3 M6 M3 P1 P8 P4 A4 d5 3. M6 M2 m7 m6 m2 M7 Interval Susun (Compound Interval) Interval yang tidak lebih dari 1 oktaf, disebut dengan interval sederhana (simple interval), dan interval yang lebih dari 1 oktaf, disebut interval susun (compound interval). Nama kualitas interval dalam interval susun, sama dengan interval sederhana dengan menurunkan nada atas 1 oktaf ke bawah. Seperti contoh berikut, interval sepuluh (10th) memiliki kualitas sama dengan interval terts (3rd), demikian juga interval sebelas (11th) memiliki kualitas sama dengan interval kuart (4th). Contoh : M10 Teori Musik 2 A11 P12 Page 5 Tritonus (Tritone) Tritonus disusun oleh tiga buah whole-tone (enam semitone), satu-satunya interval yang jika dibalik akan tetap sebagai interval yang sama. Sebagai contoh dari nada c – fis, dan fis – c’, keduanya disebut interval tritonus, seperti berikut: B. Modus Pada abad pertengahan, musik sering disusun dengan langkah (step) dan setengah langkah (half-step), lain dari jarak dalam tangganada mayor maupun minor. Pola tangganada awal ini disebut dengan Modes (modus). Sejak abad XVI, Greater Modal System, termasuk tujuh prinsip modus (disebut Authentic) dan tujuh bentuk sekunder (disebut Plagal atau hypo modes). Bentuk-bentuk plagal dari modus, dengan akhir yang sama, atau nada kunci, seperti bentuk-bentuk authentic, menggunakan range yang berbeda; karena range bukan lagi suatu pertimbangan dalam musik modern. Pembahasan akan dibatasi pada modus authentic (authentic modes). Di bawah ini beberap modus yang digunakan pada periode romantik dan kontemporer, dan pola-pola berikut perlu dikuasai oleh mahasiswa. Ionian Dorian Phrygian Lydian Mixolydian Aeolian Locrian Gambar 3. Modus Modus Ionian dan Aeolian mirip dengan tangganada Mayor dan minor seperti yang dikenal saat ini. Sedangkan Modus Locrian jarang digunakan karena akor tonika yang terbentuk adalah akor diminished. Modus-modus yang sama dapat dibandingkan Teori Musik 2 Page 6 dengan cara menyusun modus-modus tersebut dalam tonika sama, sehingga dapat dengan jelas terlihat perbedaan pola dari jarak setengah (half-steps) dan jarak satu (whole-steps). Sebagai contoh, dari keenam modus dasar, dengan diawali nada C, akan terlihat pola-pola sebagai berikut: Gambar 4. Modus Untuk menyusun modus-modus lain dengan nada kunci berbeda, dapat dilakukan Aeolian Lydian Phrygian Dorian Ionian sebagai berikut: Mixolydian dengan memahami pola-pola modus dalam tangganada C Mayor yang dikenal saat ini, Gambar 5. Tonika Modus Teori Musik 2 Page 7 Modus 3 , tonika pada nada as, maka modus tersebut adalah Lydian Contoh: Modus 2 , tonika pada nada fis, maka modus tersebut adalah Phrygian C. Tangganada (Scale) Tangganada Mayor dan minor telah dibahas pada diktat TEORI MUSIK DASAR, namun masih ada beberapa jenis tangganada lain yang akan dibahas pada diktat ini, yaitu: 1. Whole-Tone Scales Pada musik romantik dan impresionistik, tangganada whole-tone kurang digunakan. Tangganada ini terdiri dari 6 nada secara berturut-turut dengan interval sekondo mayor (M2nd) atau whole-tone. Hanya ada dua tangganada whole-tone yang berbeda dalam sistem 12 nada, yaitu: Gambar 6. Whole-tone Scales Oleh karena masing-masing nada berjarak sama, maka akan terbentuk triad augmented dan akor-akor empat nada simetris, yang tidak tentu sehingga menyebabkan monoton. Hal ini akibat dari kurang bervariasinya akor-akor. Gambar 7. Augmented Chords 2. Pentatonik Scales Kadang-kadang musik budaya Timur menggunakan pentatonic, atau five-tone scale, yang terdiri dari whole steps dan interval minor terts, tanpa langkah setengah (half step). Tangganada pentatonik ini dapat disusun dengan cara berbeda, tetapi papan hitam pada instrumen musik piano menunjukkan pola yang jelas. Teori Musik 2 Page 8 Gambar 8. Pentatonic Scales 3. Other Scales Komponis sering kali membuat tangganada sendiri yang disusun berbeda dari yang telah biasa digunakan, kadangkala musik rakyat menggunakan tangganada yang aneh atau bersifat idiomatik. Tangganada yang biasa digunakan dan telah dijelaskan sebelum ini, yaitu tangganada dengan lima, enam, tujuh, dan duabelas nada. Tangganada lain dapat dibuat dengan menyusun delapan, sembilan, dan sepuluh nada. Komponis Mussorgky, Debussy, Bartok, dan beberapa komponis kontemporer secara konsisten membuat komposisinya menggunakan kombinasi tangganada yang jarang digunakan. Beberapa kemungkinan susunan tangganada, sebagai berikut: Gambar 9. Other Scales D. Sistem Penalaan dan Temperament Dalam sejarah musik Eropa, system penghitungan interval dan tangganada mengalami beberapa kali penyempurnaan. Penyempurnaan yang terpenting diantaranya adalah: 1. Pythagorean Scale 2. Just Intonation 3. Ean-tone Temperament 4. Equal Temperament Teori Musik 2 Page 9 Pythagorean Scale. Pada abad ke VI Sebelum Masehi, Pythagoras, seorang ahli matematika dari Yunani, membuat eksperimen akustik dengan menggetarkan sebuah dawai (senar) disebut dengan monochord. Dengan menggunakan dua buah dawai (senar) Pythagoras bereksperimen, dimana satu dawai dipendekkan 1:2 (one half) secara terus menerus, sehingga menghasilkan nada 1 oktaf lebih tinggi. Pada dawai yang lain dipendekkan dengan 2:3 (two thirds) secara terus menerus sehingga menghasilkan nada kuin lebih tinggi. dari monochord kedua tidak sama persis dengan Setelah dilakukan sebanyak tujuh oktaf dan duabelas kuin, Pythagoras menemukan bahwa nada B nada C yang dihasilkan pada monochord pertama, tetapi ada sedikit perbedaan lebih tinggi. Perbedaan kecil ini disebut dengan Pythagorean Comma. Gambar 10. Pythagorean Scales Nada-nada pada Pythagorean scale diperoleh dari interval kuin (3/2) seperti yang ditemukan dalam overtone series. Tangganada diatonic dapat dihitung seperti series dari kuin secara berturut-turut kuin atas dan kuin bawah, dari nada yang ditentukan. Dengan menggunakan jumlah frekuensi 64 menunjuk pada nada C, dan menghitung dengan 3/2 (atau 2/3), akan didapatkan: Gambar 11. Pythagorean Scales Teori Musik 2 Page 10 Perhitungan dengan Pythagorean akan menghasilkan nada terts sedikit lebih tinggi dibanding dengan perhitungan dengan overtone series, sehingga membuat system ini tidak digunakan untuk musik kontrapung. Gambar 12. Overtone Series Just Intonation. Sistem ini mencoba memperbaiki kekurangan pada Pythagorean scale dengan melakukan perhitungan berdasar pada baik pure fifths (3/2) dan pure thirds (5/4). . Gambar 13. Just Intonation Interval yang menyusahkan di sini adalah kuin, dari D ke A, nada A menjadi sangat rendah. Apabila perhitungan dengan Pythagorean scale diturunkan 1 oktaf, akan dapat dibandingkan dengan perhitungan dari Just Intonation scale, sebagai berikut: Gambar 14. Pythagorean – Just Intonation Teori Musik 2 Page 11 Pemain instrumen gesek selalu mengatakan menggunakan just intonation, ketika bermain nada dengan kruis (sharp) lebih tinggi, dan mol (flats) lebih rendah dibanding dengan interval-interval equal-tempered. Bagaimanapun, ini suatu kesimpulan yang salah, bahwa dalam just intonation karena, kruis sebenarnya lebih rendah dibanding mol. Hal tersebut di atas dan kesulitan-kesulitan lain yang disebabkan oleh system penalaan murni menjadi ditinggalkan dan mendukung system tempered, dengan cara comma dapat dibagi ke dalam beberapa interval untuk mengeliminir permasalahan tersebut. Mean-Tone Temperament. Sistem mean-tone dalam penalaan digunakan pada abad XVI, khususnya untuk instrumen keyboard. Sistem ini berdasarkan pad aide dari penalaan dengan terts, dengan menyusun interval kuin sebanyak empat kali, sehingga sampai pada nada terts dari overtone series. Perbedaan dari kedua nada ini disebut syntonic comma, yang kemudian didistribusikan dengan sama antara keempat interval kuin, sehingga tiap-tiap kuin menjadi diturunkan dengan seperempat (one quarter) dari syntonic comma. Whole tone tersebut adalah mean dari mayor terts. Gambar 15. Mean-Tone Temperament Hal ini membuat sistem ini lebih sering digunakan untuk penalaan dengan pure thirds dan mendekati pure fifths. Pada periode Renaissance dan awal periode Baroque system ini bekerja dengan baik untuk musik keyboard yang tidak menggunakan tanda mula lebih dari dua mol atau tiga kruis; selain tangganada tersebut, introduksi dari mol ketiga (As) atau kruis keempat (Dis), dapat menimbulkan permasalahan pada nada-nada enharmonis (As-Gis, Es-Dis, dll). Sistem ini tidak cocok, karena nada-nada enharmonis akan berbeda mendekati seperempat nada. Akhirnya system ini kemudian ditinggalkan kemudian sebagai introduksi dari equal temperament. Teori Musik 2 Page 12 Equal Temperament. Puncak perkembangan dari tonalitas, dari seven- to the twelve-note scale, kemudian dipaksa memilih system penalaan yang dapat mengakomodasi modulasi yang tak terbatas dan disamakan dari seluruh duabelas nada. Hal ini memungkinkan dengan membagi oktaf menjadi duabelas semitones, masing-masing mendekati tempered. Oktaf tetap hanya interval yang pure acoustically, yaitu, kesepakatan dengan natural overtone series; kuin sedikit lebih kecil dan terts lebih besar dari interval-interval natural. Sistem mengukuran telah ditentukan dengan ukuran 1.200 cents untuk oktaf; satu seminote sama dengan 100 cents. Komparasi secara grafik sebagai gambaran terhadap perbandingan dari beberapa system penalaan, sebagai berikut: Gambar 16. Sistem Penalaan Teori Musik 2 Page 13 PENDALAMAN NATERI Berikan tanda ‘X’ pada jawaban yang benar: 1. 2. Tangganada di atas adalah: a. Tangganada whole-tone b. Tangganada Mayor c. Tangganada minor natural d. Tangganada Pentatonik Manakah dari ritme-ritme di bawah ini dengan pengelompokkan yang benar? a. b. c. d. Teori Musik 2 Page 14 BAB II AKOR Musik Barat menggunakan sonoritas dari nada-nada yang dibunyikan secara bersama-sama, yang disebut dengan akor. Dua buah nada yang dibunyikan secara bersama-sama disebut dengan Interval. Sedangkan jika ada tiga atau lebih nada dibunyikan secara bersama-sama disebut dengan Akor. A. Konsonan dan Disonan Pada harmoni, konsep dari konsonan dan disonan biasanya berkenaan dengan stabilitas dari hubungan antara nada-nada, yaitu interval dan akor. Stabilitas ini biasanya dimaknai sebagai “halus”, “harmonis”, atau “konsonan”, jika hubungan itu “tenang” atau “agreeable”, atau “kasar”, “discordant”, atau “disonan”, ketika hubungan tersebut membuat “tidak menyenangkan”, atau “disagreeable”. Hal ini dapat saja karena pendapat secara subjektif dapat sangat bervariasi tergantung dari masing-masing individu, bahkan juga dapat karena kultur dan jaman. Musik Eropa Barat, berbeda dengan kultur Timur, memiliki konsep dasar stabilitas dari norma harmonic natural, atau overtone series, yang dihasilkan dari getaran dawai atau udara. Tekanan ini dari aspek harmonic yang tidak didapatkan dengan tingkat yang sama dalam kultur Timur yang berorientasi pada melodi. Perasaan pada konsonan, konkordans, atau persetujuan didapat dari enam nada terrendah dari overtone series yang menghasilkan suatu triad mayor: Gambar 17. Overtone Series Nada-nada ini menghasilkan interval oktaf (P8), Kuint murni (P5), Kuart murni (P4), Terts mayor (M3), dan Terts minor (m3). Interval oktaf, kuint, dan kuart, pada abad pertengahan disebut sebagai konsonan, dan interval terts disebut disonan. Akan tetapi sesudah tahun 1450, terjadi perkembangan terhadap harmoni terts, sehingga pada Teori Musik 2 Page 15 “common-practice period” (1700-1900), karakter dari interval konsonan dan disonan dapat dikelompokkan, sebagai berikut: Gambar 18. Consonance-Dissonance B. Triad Posisi Dasar dan Pembalikan Enam nada pertama dalam overtone series menghasilkan sebuah suara komposit yang disebut dengan Triad mayor. Dasar dari susunan ini menjadi pola dalam system triadic harmony, yaitu, konstruksi dari akor-akor lebih yang disusun dengan menambahkan nada berdasarkan superimposed thirds. Suara yang dihasilkan dari tiga nada yang berbeda, yang disusun berdasarkan superimposed thirds disebut Triad; dan akor-akor yang terdiri dari empat nada atau lebih diberi nama dengan tambahan interval yang terbesar. Gambar 19. Superimposed Thirds Ada empat jenis dasar triad, yaitu Mayor, minor, diminished, dan Augmented. Gambar 20. Kualitas Akor Teori Musik 2 Page 16 Triad Mayor dan minor dikatakan sebagai triad konsonan, karena disusun oleh interval terts mayor dan minor, dan kuint murni. Sedangkan triad diminished dan augmented dikatakan triad disonan, karena disusun oleh interval kuint diminished dan augmented, dan interval terts yang sama. Triad terdiri dari Root (dasar), Third (terts), dan Fifth (kuint). Gambar 21. Triad Triad dalam posisi dasar, jika root (tonika) dari triad tersebut sebagai bass, atau nada terendah. Triad dapat dibalik dengan menempatkan nada terendah menjadi satu oktaf lebih tinggi. Pembalikan pertama dari suatu triad (akor), jika third (nada ketiga) dari tonika sebagai bass, atau nada terendah. Pembalikan kedua suatu triad (akor), dimana fifth (nada kelima) dari tonika sebagai bass, atau nada terendah. Gambar 22. Inverse Triads C. Akor Seventh dan Superimposed Thirds Musik kontrapung pada awalnya menggunakan triad-triad konsonan sebagai dasar untuk materi harmoni. Sonoritas ini dihasilkan oleh nada-nada non-harmonik disonan. Setelah tahun 1600, beberapa non-harmonik digunakan sebagai passing tones dan suspens, yang mendahului sebelum bergabung sebagai anggota dari suatu akor. Teori Musik 2 Page 17 Gambar 23. Suspensi – Passing tones Ada beberapa type yang berbeda pada akor seventh, tergantung pada nada keberapa yang menjadi nada alas (dasar) dari akor. Ada kemungkinan terdapat nama dengan kualitas ganda (double), yang pertama menandakan kualitas dari terts, dan kedua menandakan kualitas dari seventh. Jika ada dua nama yang sama, maka cukup digunakan satu. Gambar 24. Seventh Chords Pada abad ke-19, komponis melanjutkan dengan menambahkan ke atas nadanada dengan superimposed thirds; hal ini menghasilkan akor sembilan (ninth chord), dan pada akhir periode romantic, akor sebelas dan tiga belas: eleventh chord dan thirteenth chord. Seperti halnya dengan akor seventh, maka pada akor eleventh dan thirteenth juga terdapat beberapa type. Tidak ada system yang ditentukan secara universal untuk memberi symbol pada akor-akor tersebut, tetapi akor-akor tersebut lebih sering digunakan pada tingkat V, II, dan I. Sangat dimungkinkan untuk menambahkan tanda aksidental pada nada-nada yang menjadi anggota akor, seperti contoh berikut: Teori Musik 2 Page 18 Gambar 25. 9th Chords, 11th Chords, 13th Chords Apabila akor-akor besar ini digunakan untuk piano atau musik orchestra, maka hal ini mungkin untuk memasukkan seluruh unsur-unsur dalam akor tersebut. Akan tetapi apabila digunakan untuk suara manusia (SATB), maka ada beberapa nada yang kurang penting harus dihilangkan. Pada akor-akor besar ini biasanya digunakan pada posisi dasar, sangat kurang digunakan pada posisi balikan. Untuk empat suara, biasanya dituliskan seperti berikut: Gambar 26. D. Simbol Akor Pada awal abad ke-19, teori-teori German mulai menggunakan angka romawi sebagai symbol harmoni fungsional, yaitu tonalitas konvensional, fungsi dari akor tonika atau dominan yang diberi symbol dengan I atau V. Ada dua system penulisan, pertama, menggunakan angka romawi besar, untuk seluruh tingkatan akor, dalam tangganada mayor maupun minor. Gambar 27. Akor-akor dalam Tangganada Mayor Teori Musik 2 Page 19 Gambar 28. Akor-akor dalam Tangganada minor Sistem penulisan yang lain, yaitu untuk masing-masing kualitas yang berbeda menggunakan symbol yang berbeda. Seperti berikut: akor mayor angka romawi besar, akor minor angka romawi kecil, akor diminished angka romawi kecil dengan lingkaran kecil di atas, akor augmented angka romawi besar dengan tanda + di atas Gambar 29. Simbol Akor Gambar 30. Simbol Akor Sistem penulisan yang terakhir ini tidak dianjurkan walaupun masih ada beberapa buku-buku teori yang menggunakannya. Jika akor-akor masih dalam akor sederhana, system penulisan ini masih mampu. Akan tetapi apabila digunakan untuk akor-akor yang menggunakan tanda-tanda kromatik (alterasi), seperti pada akor seventh dan ninth, maka system ini sudah tidak mampu lagi. Jika tangganada yang digunakan akan dituliskan dalam hubungannya sebagai tonika, maka tangganada tersebut dituliskan pada awal. Tangganada mayor dituliskan dengan huruf besar dan tangganada minor dituliskan dengan huruf kecil, tanpa menuliskan kembali ‘mayor’ ataupun ‘minor’. Teori Musik 2 Page 20 C = Tangganada C mayor c B f = Tangganada C minor = Tangganada Bes mayor = Tangganada fis minor Tambahan angka ‘7’ pada kanan atas dari angka romawi menunjukkan diatonik interval dari akor diatonik. Simbolisasi ini berlaku juga untuk akor ninth, eleventh, dan thirteenth. Gambar 31. Akor Seventh dalam Tangganada Mayor Gambar 32. Akor Seventh dalam Tangganada minor Alterasi dari third, fifth, atau seventh pada akor posisi dasar, ditulis: Gambar 33. Teori Musik 2 Page 21 Jika alas (dasar) dari posisi dasar diberi alterasi, maka ditulis dengan memberikan tanda aksidental (alterasi) sebelum angka romawi. Gambar 34. Jika akor dalam posisi pembalikan pertama (1st invertion), figure yang sama digunakan untuk figure bass yang ditambahkan pada angka romawi. Lihat notasi di bawah ini, jika alas (dasar) dari akor diberi alterasi, tetapi akor dalam posisi pembalikan, tanda aksidental tidak diletakkan sebelum angka romawi, seperti pada posisi dasar, melainkan dituliskan di depan figure bass. Gambar 35. Teori Musik 2 Page 22 Apabila nada bas dari akor pembalikan diberi alterasi dengan tanda aksidental, maka ditulis: Gambar 36. Jika terdapat modulasi, maka akor yang sama (pivot chord), diberikan analisis ganda, baik sebagai tangganada lama maupun tangganada baru, dan dituliskan sebagai berikut: Gambar 37. Figure Bass Teori Musik 2 Page 23 Contoh lain dari karya J.S. Bach: Chorale no. 139 “Warum sollt’ ich mich den gramen” Gambar 38. Figure Bass Pada pivot chord [A], diberikan dua analisis, karena akor II dan VI, keduanya berfungsi dalam tangganada masing-masing. Pada chromatic modulation [B], tidak terdapat akor yang sama, karena akor pertama masing-masing berfungsi sebagai akor V dalam tangganada C, sedangkan akor kedua adalah akor V dengan menaikkan nada leadingtone dalam tangganada a minor. Akor pertama tidak dapat disebut sebagai akor VII natural dari tangganada a minor, tetapi hal ini tidak berarti berlaku pada tangganada minor. Juga, pada direct modulation [C] simbolisasi ganda dari akor pertama dihilangkan pada awal dari phrase dalam tangganada baru dari G mayor. Akor pertama pada [C] dapat disebut V natural dalam a minor, tetapi sekali lagi, ini lebih bersifat teoritis dibanding dengan kekuatan fungsional. Teori Musik 2 Page 24 Simbol Akor dalam Musik Populer dan Jazz Lagu popular dan aransemen musik Jazz biasanya menggunakan notasi staff dengan memberikan simbol-simbol akor yang diletakkan di atas melodi. Biasanya ditulis untuk part gitar ataupun piano, atau berupa sheet-music untuk vocal dan piano. Walaupun terdapat perbedaan pada masing-masing percetakan, akan tetapi simbolisasi akor akan tidak bermasalah. Nama-nama dengan huruf menunjukkan akor mayor pada posisi dasar, tidak tergantung pada tangganada yang digunakan. Gambar 39. Akor minor, augmented, dan diminished ditulis dengan nama huruf dari akor dasar (root) ditambah dengan singkatan (abbreviation): M, mi, atau min + atau aug : akor augmented dim : akor diminished seventh (akor diminished tidak digunakan) : akor minor Gambar 40. Biasanya harmoni Jazz secara konsisten terdiri dari empat suara, yaitu, akor triad ditambah dengan interval ke-enam dari akor tersebut. Mayor enam ditambahkan baik pada akor mayor maupun minor, dan simbolisasi ditulis dengan menambahkan angka 6 (bukan figure dari pembalikan pertama atau 1st invertion). Gambar 41. Teori Musik 2 Page 25 Penambahan angka ‘7’ menunjukkan akor seventh minor pada seluruh akor . Gambar 42. Penambahan major seventh hanya untuk akor mayor, seperti berikut: Gambar 43. Tanda alterasi dari fifth pada akor seventh ditulis dengan tanda ‘+’ untuk lebih dan ‘-‘, atau mol ( ) untuk kurang. Gambar 44. Akor-akor ninth baik sebagai tonika maupun dominan, dengan alterasi sebagai berikut: Gambar 45. Kadang-kadang eleventh atau thirteenth ditambahkan pada akor-akor dominan seventh, dan dituliskan dengan figure seperti di bawah ini. Suara lain yang ditambahkan, yang tidak berasal dari superimposed thirds, dituliskan sebagai tambahan nada. Teori Musik 2 Page 26 Contoh: Gambar 46. Biasanya, nada bas untuk akor-akor jazz adalah alas dari akor; jika akor tersebut dalam posisi balikan, ditulis dengan menambahkan pada simbol akor nada bas tersebut. Akor pembalikan dapat juga dituliskan dengan menggunakan tanda ‘slash’ untuk menunjukkan nada bass sesudah tanda ‘slash’ (seperti symbol akor di bawah notasi. C7/E Fm6/A D9/A Gambar 47. Teori Musik 2 Page 27 PENDALAMAN MATERI Berikan tanda ‘X’ pada jawaban yang benar: 1. Nada-nada di atas adalah bagian dari pasangan tangganada: a. B Mayor dan A Mayor b. A Mayor dan cis minor harmonis c. D Mayor dan fis minor natural d. E Mayor dan fis minor harmonis 2. Akor di atas adalah salah satu contoh dari a. Triad Mayor b. Triad minor c. Triad Augmented d. Triad diminished Teori Musik 2 Page 28 3. Analisis yang benar dari akor di atas adalah: a. b. c. d. 4. Interval di atas adalah: a. M6 b. A6 c. d7 d. A7 5. Apa nama kadens dan non-harmonic tone di atas? a. Imperfect authentic cadence dengan appoggiatura b. Perfect authentic cadence dengan escape tone c. Plagal cadence dengan passing tone d. Deceptive cadence dengan neighbouring tone Teori Musik 2 Page 29 BAB III MENULIS MELODI Melodi dapat didefinisikan sebagai suatu rangkaian nada yang disusun; yaitu melodi sebagai satu kesatuan rasa, termasuk konsep-konsep baik tinggi-rendah nada (pitch), maupun ritme (rhythm) yang diaplikasikan dalam satu garis tunggal atau suara. Prinsip dari bentuk melodi dapat dipelajari dari melodi-melodi pada vokal. Melodi vokal, menurut Jones (1974: 101), memiliki tiga karakteristik, yang paling tidak dimiliki oleh suara manusia, yaitu range, gerakan (motion), dan disusun dalam bagian-bagian pendek. Selain itu, melodi vokal juga harus memperhatikan teks, katakata dan ide-ide yang akan menentukan juga bentuk melodi. Bentuk-bentuk melodi disebut juga strophic forms, karena dibuat bagian per bagian seperti syair, atau baris dalam puisi. A. Bentuk Strophic Kecil. Dalam menyusun bagian-bagian kalimat musik, dapat dianalogkan dengan menyusun sebuah kalimat bahasa. Ada beberapa istilah dalam menyusun sebuah kalimat melodi. 1. Motif (figure) : ide melodi yang terkecil, terdiri dari beberapa nada dan ritme 2. Bagian Phrase : Bagian dari phrase yang dikembangkan dari motif 3. Phrase : Suatu ide musik yang sudah lengkap (tetapi belum selesai), yang diakhiri dengan sebuah kadens (biasanya terdiri dari 4 birama atau bisa juga 2 birama) 4. Periode : Gabungan dua buah phrase, yang diakhiri dengan kadens yang kuat, dianalogkan dengan sebuah kalimat bahasa (biasanya terdiri dari 16 birama) 5. Double Period : Gabungan tiga atau lebih phrase. Contoh lagu yang mempunyai bentuk kecil banyak dijumpai pada lagu-lagu daerah, lagu anak-anak, hymns, dll. Sebagai contoh, lagu “Yankee Doodle” memiliki sebuah periode, terdiri dari dua phrase sederhana, yang masing-masing dapat dibagi kedalam bagian phrase. Teori Musik 2 Page 30 Gambar 48. Waltz in A flat dari Brahms, merupakan contoh bentuk satu periode dari literature instrumental. Gambar 49. Teori Musik 2 Page 31 Lagu daerah Inggris “Greensleeves”, merupakan lagu double period karena terdiri dari dua buah periode, yang masing-masing terdiri dari dua phrase, tetapi pada phrase terakhir berbeda karena sebagai kadens. Gambar 50. B. Simetri dan Balance. Bagian-bagian kecil, seperti motif, bagian phrase, phrase, maupun periode, semuanya terjadi karena saling berpasangan. Bagian-bagian tersebut dalam susunannya harus memperhatikan beberapa estetika yang diperlukan sehingga menjadi sebuah kalimat yang seimbang (balance) dengan kalimat kontrasnya. Secara teori, dapat dianalogkan seperti sebuah pertanyaan dan jawaban sehingga menjadi seimbang, seperti antecedent dan consequent. Phrase antecedent membuat sebuah pertanyaan yang menuntut jawaban dengan phrase consequent. C. Struktur Metrik. Phrase dapat diawali dan diakhiri dengan baik pada ketuk kuat maupun ketuk lemah, atau bagian dari ketukan (beat). Beberapa teori berpendapat bahwa jika diawali dan diakhiri dengan ketuk kuat disebut masculine (maskulin), dan feminine (feminine) untuk ketuk lemah. Nada-nada lemah pada awal phrase disebut nada-nada anacrusis, atau nada-nada pickup (nada pada birama gantung). Berikut ini beberapa contoh kemungkinan variasi metrik. Teori Musik 2 Page 32 1. Kemungkinan variasi pada awal phrase: a. Accented-beginning on a strong beat: Gambar 51. b. Unaccented (anacrusis)-beginning on a weak beat: Gambar 52. 2. Kemungkinan variasi pada akhir phrase: a. Accented-ending on a strong beat: Gambar 53. b. Unaccented-ending on a weak beat: Gambar 54. D. Melodic Cadences. Awal musik monophonic vokal digunakan bagian akhir dimana perjalanan melodi berakhir pada point of rest (bagian istirahat), biasanya alur melodi dari nada-nada atas. Dari sinilah dikembangkan pola-pola bagian akhir, disebut kadens (cadences, Latin: cadere; to fall). Bentuk modern dari kadens biasanya tergantung dari harmoninya. Teori Musik 2 Page 33 E. The Final Cadence. Biasanya tanpa kecuali, akhir dari phrase melodi menuju ke nada tonika sebagai final point of rest, disebut dengan kadens perfect authentic atau full cadence. Nada terakhir dari melodi tersebut dapat didekati dengan empat cara: dengan melangkah dari atas, melangkah dari bawah, dengan melompat dari kuint ke bawah, ataupun melompat kuart ke atas. Berikut ini contoh akhir phrase dari empat buah hymns: 1. “A Mighty Fortress Is Our God” by Luther 2. “Now Thank We All Our God” by Crueger 3. 4. “It Came upon the Midnight Clear” by Willis “Bring a Touch, Jeannette, Isabella” – French Carol Gambar 55. Apabila nada akhir dari melodi merupakan anggota dari akor tonika (selain tonika), maka disebut kadens autentik tak sempurna (imperfect authentic cadence). Akhir phrase dari lagu “The First Noel” berakhir pada nada terts dari akor tonika. Gambar 56. Teori Musik 2 Page 34 Lebih banyak dijumpai lagu-lagu dengan melodi yang berakhir pada ketuk kuat. Apabila terdapat melodi yang berakhir pada ketuk lemah, maka dapat digunakan feminine ending untuk mengakhiri phrase. Contoh lagu dengan melodi yang berakhir pada ketuk lemah terdapat pada lagu German “O Tannenbaum” Gambar 57. F. Interior Cadence. Kadens yang terjadi oleh karena arah melodi yang tidak seperti sebuah akhir phrase. Phrase interior, terlihat pada tingkat yang berbeda dari akhir phrase, tergantung pada komponis. Tujuan dari kadens interior adalah untuk menghasilkan istirahat sementara pada akhir dari phrase musikal. Berikut ini kemungkinan urutan suatu kadens interior: 1. Perfect authentic (full) cadence in the tonic key 2. Same – in a key other than the tonic 3. Imperfect authentic cadence in the tonic key 4. Same – in a key other than the tonic 5. Deceptive cadence in the tonic key 6. Same – in a key other than the tonic 7. Half cadence in the tonic key 8. Same – in a key other than the tonic Tabel di atas dapat disimpulkan bahwa pada kadens-kadens authentic sempurna, authentic tidak sempurna, dan deceptive, nada-nada melodi dapat berakhir pada not dari akor tonik, yaitu nada-nada tingkat 1, 3, 5, atau 8; sedangkah untuk kadens setengah, nada-nada melodi merupakan nada-nada dari akor dominan atau subdominant, yaitu nada-nada tingkat 5, 7, 2, 4, atau 6. Teori Musik 2 Page 35 Berikut ini beberapa ilustrasi dari formals point yang akan didiskusikan. Cobalah kerjakan dengan mengikuti skema rhythmic-metric di bawah ini untuk satu periode. Phrase pertama digunakan untuk satu kadens interior dari table di atas, dan phrase kedua sebagai kadens final. Gambar 58. Awal melodi dan akhir melodi dapat dituliskan dalam beberapa kemungkinan, seperti berikut: Teori Musik 2 Page 36 Gambar 59. G. Extensions and Irregularities. Phrase regular dengan empat birama merupakan hal biasa untuk banyak melodi, baik untuk vokal maupun instrumental. Tetapi kadangkala, untuk menghindari monoton, phrase yang lebih pendek atau yang lebih panjang juga dapat digunakan. Latihan dengan phrase lima atau enam birama yang dapat merupakan pengulangan, atau sekuens, dari figure atau bagian dari phrase. Contoh: Gambar 60. Teori Musik 2 Page 37 Seperti pada extention di atas, phrase juga dapat dikembangkan pada akhir kalimat dengan sebuah codetta kecil yang menunjukkan kadens akhir. Gambar 61. Sebaliknya phrase regular dapat juga dipendekkan dengan menghilangkan motif atau bagian phrase. Gambar 62. Teori Musik 2 Page 38 PENDALAMAN MATERI A. 1. Susun phrase tunggal empat birama dalam tangganada mayor, berakhir dengan kadens authentic sempurna. 2. Susun phrase tunggal empat birama dalam tangganada minor, berakhir dengan kadens authentic sempurna. B. Susun phrase konsekuen yang sesuai dengan phrase anteseden yang diberikan: 1.. 2. C. 1. Dalam tangganada mayor, susun sebuah periode dari dua phrase related four-measure, phrase pertama berakhir dengan kadens authentic tak sempurna, phrase kedua dengan kadens final 2. Dalam tangganada minor, susun sebuah periode dari dua phrase related four-measure, phrase pertama berakhir dengan kadens setengah, phrase kedua dengan kadens final. D. Menggunakan periode-periode pada C1 dan C2 di atas: 1. Dalam periode pertama, kembangkan salah satu phrase dengan sekuens atau repetisi dari motif atau bagian phrase 2. Dalam periode kedua, ringkaslah salah satu phrase dengan menghilangkan atau memendekkan motif atau bagian phrase E. Susun periode ganda, panjang 16 birama, tangganada dan pola kadens dapat dipilih bebas. Teori Musik 2 Page 39 BAB IV TEKSTUR VOKAL 4 SUARA (SATB) Instruksi awal pada komposisi musik, kontrapung secara alami telah digunakan dengan pasti. Pada periode Barok, dengan pergantian kombinasi harmoni vertikal, para musisi mulai mempelajari progresi harmoni dimana beberapa bagian, atau baris, dibawa ke depan secara terus menerus. Kemungkinan harmoni awal dipelajari dengan konsentrasi merealisasikan bagian continuo pada instrumen keyboard. Ini menunjukkan improvisasi atau menulis kembali pada tekstur keyboard dari bagian figure bass (disebut juga thorough bass) . Hal ini menjadi jelas bahwa progresi dari tiap baris individual, atau suara, dalam musik tidak dapat dengan mudah diikuti dalam akor dengan banyak suara dari part clavir. Sehingga, sedikitnya sejak abad XVIII, format tradisional untuk belajar harmoni menggunakan tekstur empat suara dari kuartet vokal, menggunakan part sopran, alto, tenor, dan bass. Pada awalnya ditulis dalam posisi terbuka (open score), yaitu, masing-masing suara pada garis paranada terpisah, dan biasanya, dalam empat tanda kunci yang berbeda. Saat ini ada kesepakatan, ditulis dengan tekstur empat suara (SATB) pada dua garis paranada, menggunakan tanda kunci treble dan bass. Hal ini akan menjadi lebih mudah dalam membaca progresi harmoni dalam akor dan masing-masing suara individu. Akhirnya, pada waktu mempelajari musik instrumental, akan terlihat bagaimana prinsip harmoni empat suara yang diaplikasikan pada keyboard atau dalam bentuk ansambel. A. Range Suara Range suara manusia secara individual kecil, mendekati satu setengah oktaf. Range suara sopran, alto, tenor dan bass dituliskan seperti berikut, dengan suara sopran dan alto ditulis menggunakan tanda kunci treble, tenor dan bass menggunakan tanda kunci bass. Untuk suara sopran dan tenor ditulis dengan tangkai ke atas, suara alto dan bass ditulis dengan tangkai ke bawah, seperti berikut: Gambar 63. Range SATB Teori Musik 2 Page 40 B. Pen-double-an Oleh karena harmoni pada dasarnya hanya terdiri dari 3 nada, maka untuk menuliskan empat suara, harus ada satu nada yang didobel, bisa dengan nada yang sama dari anggota pada harmoni tersebut, yaitu root, third, atau fifth akan dituliskan lebih dari satu suara, baik pada oktaf yang sama atau oktaf yang berbeda. Gambar 64. Pen-double-an Pada berbagai kesempatan, biasanya untuk alasan kontrapungtal, beberapa nada pada akor dapat didobel. Ada beberapa teori berbeda dalam memahami tentang pendobelan tersebut; buku teks harmoni biasanya memberikan kepada mahasiswa hukum-hulum sebagai berikut: 1. Akor Mayor dalam posisi dasar: pendobelan secara berturut pada root, fifth, third 2. Akor minor dalam posisi dasar: pendobelan secara berturut pada root, third, fifth Beberapa buku lain mengatakan bahwa nada yang terbaik untuk didobel adalah nada-nada pokok (I, IV, V), baik pada akor minor maupun mayor. Hal ini pada prinsipnya sama dengan alasan hukum di atas. Gambar 65. Teori Musik 2 Page 41 Kenyataannya, pada akor-akor posisi dasar dengan root yang didobel, nada-nada yang didobel tidak boleh pada suara yang sama, atau parallel oktaf akan terjadi. Gambar 66. C. Spasi, Jarak, Gerak, dan Persilangan Suara Macam-macam spasi dihasilkan dari overtone series, interval besar dekat dengan nada bawah dan interval kecil dekat dengan nada atas dari akor, akan memberikan resonansi yang baik untuk harmoni triadic. Spasi dari tiga suara atas, ada dua kemungkinan, yaitu close position, menunjukkan bahwa tiga suara atas merupakan anggota dari akor, tanpa nada kosong; sedangkan open position dimaksudkan ada beberapa anggota akor yang dihilangkan antara suara sopran dan alto, atau suara alto dengan tenor. Gambar 67. Posisi Akor Teori Musik 2 Page 42 Gerak antara dua suara atau lebih, dapat berupa similar, contrary, atau oblique. Gerakan yang terbaik adalah dengan gerak contrary atau oblique, walaupun, banyak juga gerak similar disukai. Gambar 68. Pada penulisan empat suara, seringkali disukai nada bas bergerak contrary dengan melodi atau suara atas, jarang sekali empat suara bergerak dalam arah yang sama. Ada perkecualian, dimana seluruh suara bergerak dalam arah yang sama, seperti berikut ini: Gambar 69. Pada penulisan harmoni, suara yang saling bersilang sebaiknya dihindari. Sejak periode awal kontrapungtal, suara-suara yang bersilang sudah biasa, karena adanya pertolongan secara individual dari suara yang dipertahankan pada masing-masing suara. Bach seringkali menggunakan suara silang, khususnya pada choral vokal, tetapi ini membawa pada suatu komplikasi yang tidak biasa bahwa mahasiswa tidak diperlengkapi untuk mengatasi sebelumnya. Teori Musik 2 Page 43 Overlapping dari suara yang berdepatan juga tidak diperkenankan, kecuali pada kasus di bawah ini: Gambar 70. Overlapping D. Inversi Akor (Akor Pembalikan) Jika anggota dari suatu akor selain root berada pada suara bass, maka akor tersebut dikatakan pembalikan. Pembalikan pertama (first invertion) dari suatu akor memiliki nada terts di suara bass, pembalikan kedua (second invertion) dari suatu akor memiliki nada kuint di suara bass. Pada akor seventh memiliki empat nada yang berbeda, sehingga terdapat pembalikan ketiga (third invertion). Gambar 71. Akor Pembalikan Teori Musik 2 Page 44 Figur bass pada tiap-tiap akor dengan pembalikan dapat ditulis sebagai berikut: Gambar 72. E. Larangan dalam penulisan empat suara Ada beberapa larangan dalam penulisan empat suara, atau sedikitnya perlu dihindari, antara lain: 1. Pada tekstur vokal empat suara, masing-masing suara sebaiknya menjaga individualitas. Tidak ada dua suara yang bergerak dalam konsekutif unison, oktaf, atau kuint (perfect consonances) Gambar 73. 2. Nada-nada melodi aktif, seperti leading tone, seventh dari akor seventh, atau nada dengan tambahan alterasi, tidak boleh didobel. Gambar 74. Teori Musik 2 Page 45 3. Suara-suara individual sebaiknya tidak melompat dalam interval yang canggung/kaku seperti interval secondo augmented (A2) dan kuart augmented (A4). Pembalikan dari interval ini biasa digunakan ketika nada aktif diselesaikan secara dengan wajar. Gambar 75. Secara umum, lompatan yang besar seperti seventh dan ninth sebaiknya dihindari kecuali terdapat pada suara luar dan diikuti dengan gerakan yang berlawanan. Gambar 76. Suara-suara dalam sebaiknya bergerak dengan wajar/normal sehalus mungkin, sebab, menahan nada-nada sederhana dan bergerak dengan melangkah atau dengan lompatan pendek/kecil. Beberapa hal penting pada bab ini dapat disimpulkan sebagai berikut: 1. Latihan harmoni adalah menyusun suara sopran, alto, tenor, dan bass secara berpasangan dengan dua paranada, menggunakan tanda kunci treble dan bass. Teori Musik 2 Page 46 2. Range suara masing-masing, adalah: Gambar 77. 3. Pada akor posisi dasar, tonika selalu didobel kecuali ada suatu gerakan lain yang khusus. 4. Pada posisi tertutup, terdapat interval kurang dari 1 oktaf antara suara sopran dengan tenor; pada posisi terbuka, terdapat interval 1 oktaf atau lebih antara suara sopran dengan tenor. 5. Diantara dua suara atas yang berdekatan, interval seharusnya tidak lebih dari 1 oktaf, sedangkan suara bas terhadap tenor bebas. 6. Antara dua suara, atau antara suara bass dengan suara-suara atas, gerakan contrary dan oblique lebih dianjurkan. 7. Suara-suara yang bersilangan (crossed parts) dilarang. 8. Pembalikan (invertion) dari akor/triad: Pembalikan untuk triad/akor: Tabel 2. Akor Pembalikan Teori Musik 2 Nama Nada Bass Root position Root 1st inversion Third 2nd inversion Fifth Figure 6 Page 47 Pembalikan untuk akor seventh: Tabel 3. Akor Sevent Pembalikan 9. Nama Nada Bass Figure Root position Root 7 1st inversion Third 2nd inversion Fifth 3rd inversion Seventh 6 5 4 3 4 2 (2) Unisono secara berturut-turut, oktaf, atau kuint antara dua suara yang bergerak dilarang, 10. Nada melodi aktif tidak boleh didobel. 11. Lompatan melodi dari secondo augmented dan kuart augmented dilarang. 12. Suara-suara dalam bergerak melangkah dengan halus, menggunakan nadanada sederhana, bergerak melangkah atau dengan lompatan kecil. 13. Pembalikan kedua dari akor tidak boleh diselesaikan dengan melompat. 14. Nada-nada disonan harus diselesaikan dengan melangkah ke nada-nada konsonan yang penting. Teori Musik 2 Page 48 PENDALAMAN MATERI A. Tentukan pernyataan-pernyataan di bawah ini mana yang benar dan salah: 1. Latihan-latihan harmoni adalah menuliskan suara sopran, alto, tenor, dan bass pada empat paranada yang berbeda. 2. Tidak diperbolehkan interval lebih dari satu oktaf antara suara-suara atas yang berdekatan. 3. Jarak antara suara bass dan tenor tidak penting. 4. Pada akor/triad posisi dasar, root/tonika selalu didobel, kecuali terdapat suatu gerakan lain yang khusus. 5. Gerakan similar/sama secara umum lebih disukai adalah gerak contrary atau oblique. B. Tuliskan pada paranada range suara dari sopran, alto, tenor, dan bass. C. Jawablah pertanyaan di bawah ini: 1. Dalam kondisi apa dua suara boleh overlap? 2. Dalam kondisi apa dua suara boleh silang (cross)? 3. Figure bass apa yang tepat untuk akor pada pembalikan pertama? 4. Figure bass apa yang tepat untuk akor seventh pada pembalikan pertama? D. Temukan kesalahan-kesalahan pada contoh di bawah ini. (Dapat terjadi lebih dari satu kesalahan pada tiap-tiap contoh): Teori Musik 2 Page 49 BAB V SUPLEMEN Bab ini merupakan tambahan materi yang akan membahas kembali beberapa hal penting, yang pernah dijelaskan pada bab-bab sebelum ini. Pembahasan pada bab ini merupakan pendalaman dari beberapa materi teori music, yang dilengkapi dengan testes, sesuai dengan materi pembahasan. Adapun materi berikut ini merupakan hasil pencarian dari music theory, yang selanjutya dapat di download oleh masing-masing mahasiswa sebagai pengayaan. Akhir dari bab ini, terdapat beberapa tes yang dapat dikerjakan oleh mahasiswa, dan diharapkan mahasiswa juga dapat mencari beberapa materi di internet sesuai dengan anjuran yang akan dijelaskan pada bagian akhir. A. Octave Clefs Even with the freedom to move C, G, and even F clefs around on the five line stave, you will find occasions when the musical line in still too high or too low to fit neatly onto the five line stave. A useful device that overcomes this problem is one that moves the musical line up or down an octave. The music is read as though at one octave but sounds either an octave higher or an octave lower than it is written. This can be done with any of the three clef signs (the C, F and G), placed in any position of the stave. We have illustrated some in the chart below. Tabel 4. Kunci Oktaf Octave up G clef Octave down G clef Vocal tenor clef Octave down double treble clef Octave up F clef Octave down F clef two octave up G clef two octave up F clef It should be mentioned that while the use of these kind of clef signs is ‘good practice’ many editions ignore the additional figure 8 or 15 and use the plain sign without the figure which is then ‘understood’ Teori Musik 2 Page 50 B. Time Signature The third score has a compound time signature. A performer would be confused – should the piece be in two or in three. If the piece is to be played ‘three in a bar’ then it should be notated in three, as it was in the first example. We can list various time signatures as simple time signature or compound time signature. Tabel 5. Tanda Birama Beats per Bar 2 (double) 3 (triple) Simple Compound Time Beat Time Beat Signature Signature 2 6 minim (half note) dotted minim (dotted half note) 2 4 2 6 dotted crotchet (dotted quarter crotchet (quarter note) 4 8 note) 2 quaver 6 dotted quaver (dotted eighth note) 8 (eighth note) 16 3 9 minim (half note) dotted minim (dotted half note) 2 4 3 crotchet 9 dotted crotchet (dotted quarter 4 (quarter note) 8 note) 3 quaver 9 dotted quaver (dotted eighth note) 8 (eighth note) 16 if a piece is so quick that the feeling is of one beat in a bar, then the triple meter (usually 3/2 or 3/8) is compound (i.e. may be divided into three) 4 12 minim (half note) dotted minim (dotted half note) 2 4 4 12 dotted crotchet (dotted quarter crotchet (quarter note) 4 8 note) 4 quaver 12 dotted quaver (dotted eighth note) 8 (eighth note) 16 Anacrucis Taken from poetry, the term anacrusis refers to one or two unstressed syllables at the beginning of a line that are unnecessary to the meter. In music, this is represented by a short or 'incomplete' bar at the beginning of a piece generally, but not always, matched by a short 'incomplete' bar at the end so that the total number of beats in the first and last incomplete bars equals a full bar. We give an example below - the first sounding beat is the weakest in a three beat bar, i.e. the third, while the second beat of the piece is the first beat in the first full bar and is strong. Anacrusis is also called 'pickup' or 'up-beat'. Teori Musik 2 Page 51 Syncopation The position of notes in a bar show their relative rhythmic strengths. However, occasionally, the rhythmic pattern wanted does not fit the rhythmic pattern shown by the barring. One says that the rhythm is 'off the beat' or syncopated. Examples of this are common in popular music including jazz, but it does occur in music of all ages. We have given a good example of syncopation below. Note, in particular, the theme played by pianist's right hand (the upper line of the piano part). The theme is 'off the beat' for much of the time, i.e. it is syncopated. The 'effect' is notated using ties. A crucial feature of syncopation is that there should be a strong sense of the beat 'off which' the theme is being played. This is provided by the percussion and bass guitar lines. There is a second type of syncopation, where the strong beat is replaced by a silence. C. Triplet In music, the term irrational rhythm is usually applied to a rhythm in which an unusual number of beats is superimposed on the predominating tempo. More precisely, if n evenly-spaced beats are played in the time of m beats of the underlying tempo then the rhythm is irrational if neither of n and m is divisible by the other. The use of the term “irrational” in this context is quite different to the mathematical use of the term: indeed, rhythms of this sort are, in the mathematical sense, rational, as their are precisely defined by the ratio of beats played to beats in the underlying tempo. One example is the triplet, used when in the context of a simple time signature one wants to subdivide a beat into three. The triplet notation lets you to do this. Gambar 78. Triplet Other-lets The division of notes into smaller notes using triplets and duplets can be extended to irrefular groups of even larger number, known collectively as tuplets or gruppo irregolare (Italian). Again there are ‘notational’ conventions for writing such grouping and these are listed below. As with triplets the groupings can include rests and notes of different value. The ‘convention’ tells us the total time value of the group as written and as played. Teori Musik 2 Page 52 Tabel 6. Other Lets Irregular Divisions in Simple Time 1 2 3 3 notes are written in the time of 2 of the same note example: 3 quavers (eighth notes) in the time of 2 quavers (eighth notes). 5, 6 and 7 notes are written in the time of 4 of the same note example: 5 quavers (eighth notes) in the time of 4 quavers (eighth notes). 9, 10, 11, 13 and 15 notes are written in the time of 8 of the same note example: 13 quavers (eighth notes) in the time of 8 quavers (eight notes). Irregular Divisions in Compound Time 1 2 notes are written in the time of 3 of the same note example: 2 quavers (eighth notes) in the time of 3 quavers (eighth notes). 4 notes are written in the time of 3 of the same note but also in the time of 3 beats of double the time value. 2 example: 4 quavers (eighth notes) in the time of 3 quavers (eighth notes); but sometimes 4 semiquavers (sixteenth notes) in the tome of 3 quavers (eighth notes). The irregular division of compound time is rare and notational ‘conventions’ are fluid. Simple time divition is much more common and this has given time for composers and music publishers to follow and keep to a ser of ‘notational conventions’. D. Triads & chords Concord & Discord The distinction between what we would call music and what we would regard as noise is a matter of personal taste. We might use words like concordant and discordant to distinguish the acceptable from the unacceptable. Musical theorists discussing harmony have a particular technical use for the words concord as applied to chords or consonance as applied to intervals, as well as to discord as applied to chords or dissonance as applied to intervals. Most cultures employ 'tunes' or 'melodies' in their music but Western music is particularly distinctive through its use of 'harmony' whether arising from the interweaving of other musical lines around and about a 'melody line' (what we call 'counterpoint') or through the support of a 'melody line' with a progression of 'chords', groups of notes sounding simultaneously, groups made up of various musical intervals Teori Musik 2 Page 53 Diatonic Triads One question that has been asked about triads is 'what is the strict meaning of diatonic triad?' When, earlier, we discussed the difference between chromatic and diatonic notes we pointed out that notes in the major and minor scales of a particular key note are diatonic while those that do not appear in these scales are 'chromatic' (see lesson 11 - The Diatonic Scale). So in the key of C, E natural (which appears in the C major scale) and E flat (which appears in the C minor scale) are diatonic but E sharp (which appears in none of the C scales) is chromatic. A triad is a chord with three notes and three intervals, i.e. if the notes are named X, Y and Z then the three intervals are (i) between X and Y, (ii) between X and Z and (iii) between Y and Z. When written in its close root position, this means that the lowest note is the root, the lowest and the middle notes are an interval of a third apart and the middle to the highest notes are an interval of a third apart. The interval between the lowest and the highest notes is a fifth. So, a triad, written in its close root position, is formed from two thirds placed within a fifth. The root functions as the key note when determining whether or not the other two notes in the triad are diatonic or chromatic and therefore whether the triad is diatonic or not. If the root is C and the triad is [C - E - G] or [C - E flat - G], then the triad is diatonic, because E, E flat and G all appear in scales on C. The triads [C - E - G sharp] and [C - E flat - G flat] are not diatonic because neither G sharp nor G flat appear in the major or minor scales on C. Chords Chords can exist in isolation but Western music uses them in progression. We need to understand how they relate to one another. This becomes increasingly important when our chords are made up of a larger number of notes. We need to distinguish 'close' and 'open' harmonies (as with triads), chords where notes are repeated at different pitches, and chords where 'extra' notes are included (i.e. 7th, 9th, etc.). As we increase the number of different notes we find that the same arrangement of notes can be 'named' in more than one way and there are also many more 'inversions' possible. Diatonic triads to which a seventh is added are called 'diatonic 7th' chords and are marked with the chord token. Teori Musik 2 Page 54 For example, V7a, from which the 'a' is usually omitted, i.e. V7, is a dominant 7th in root position while V7d is a dominant 7th, fourth inversion. The 3rd above the root of the dominant chord in minor keys (which is the 7th degree or leading note of the scale) is always raised a semitone. Let us finish by summarising the harmonisation in sevenths of the major scale using numbered chords: Ima7 IImi7 (or ii7) IIImi7 (or iii7) IVma7 V7 VImi7 (or vi7) VIImi°( 5) (or vii°( 5)) where °, as we saw above, is shorthand for 'diminished'; and the harmonisation in sevenths of the natural minor scale using numbered chords: Imi7 (or i7) IImi7( 5) (or ii7( Vmi7 (or v7) 5)) IIIma7 IVmi7 (or iv7) VIma7 VII7 Chords in Jazz Practical chord notation can be much simpler than that used by musical theorists because far fewer chord patterns are met with in real life than can be imagined by the fevered mind of an academic. In jazz, the root of the triad is named with a capital letter, with the addition of 'm' meaning minor (major being understood), '+' or 'aug' if augmented and 'o' or 'dim' if diminished. The 3rd and 5th of the triad can be easily deduced so that it is only necessary to identify additional notes with small numbers. Thus in Cmaj7 the major 7th has been added to the triad C, E and G, while in C7 it is the minor 7th that has been added to the triad C, E and G. Dominant Seventh Chord One area of confusion when naming or identifying seventh chords is the use of the term dominant seventh chord. If you look at the table above summarising the degree of the scale where each type of seventh chord occurs, you will see that the dominant seventh need not lie only on the Vth degree of the scale, the degree we call the dominant. Indeed, in the natural minor scale, the dominant seventh chord lies on the VIIth degree not on the Vth degree. Teori Musik 2 Page 55 The point to remember is that the dominant seventh chord is any chord formed by adding a minor seventh to a major triad. Remember too that the chord's note name is determined by its root note. So the chord G B D F is written G7 because the root note is G. G B D is a major triad and F is the minor seventh above G. This chord, therefore, is a dominant seventh chord. In the key of C major, the notes G B D F form a seventh chord on the Vth degree, i.e. a dominant seventh on the dominant of the scale. This is also true for the C minor natural and C minor melodic scales. However, the same notes, G B D F, are a G7 chord and a dominant seventh on the fourth (IV) degree of the D melodic minor scale. For completeness, we note finally that the notes G B D F are also a G7 chord and a dominant seventh on the seventh (VII) degree of the A natural minor scale. Extended Chords (9th, 11th, 13th) We discussed extended intervals, or extensions, in an earlier lesson. How might we notate the addition of extensions to a chord? The first point to make is that extensions of the tenth and twelve are just thirds and fifths plus an octave. The extensions of real interest are the ninth, eleventh and thirteenth. The chords are named for the extension; so, ninth chords, eleventh chords and thirteenth chords. The extensions are added to seventh chords, the quality and function of which is preserved. Thus, a dominant chord with an added ninth remains a dominant chord. For those who find the naming of extended chords rather baffling, remember that it is assumed that ninths are added to seventh chords to produce ninth chords, that eleventh and ninths are both added to seventh chords to produce eleventh chords and that thirteenths, elevenths and ninths are all added to seventh chords to give thirteenth chords. So if one calls a chord an eleventh it is assumed that the ninth and eleventh are present and that there is a seventh chord present too. The quality of the chord is determined by the seventh and the greatest extension names the chord. Thus, a major thirteenth chord will be a major seventh chord plus a ninth, an eleventh and a thirteenth, while a dominant ninth is a dominant seventh chord plus a ninth. However, as you will see mentioned below, thirteenth chords may have an unvoiced eleventh in order to relieve the otherwise dense harmonic texture. There are a few practical rules about building extended chords. We list these below. Teori Musik 2 Page 56 E. Harmonic Cadence Cadences In her article entitled Cadence in Music, Catherine Schmidt-Jones writes about those things that produce a feeling of cadence: Harmony: In most Western and Western-influenced music (including jazz and "world" musics), harmony is by far the most important signal of cadence. The most fundamental "rule" of the major-minor harmony system is that music ends on the tonic. A tonal piece of music will almost certainly end on the tonic, although individual phrases or sections may end on a different chord (the dominant is a popular choice). But again, you cannot just throw in a tonic chord and expect it to sound like an ending; the music must "lead up to" the ending and make it feel inevitable (just as a good story makes the ending feel inevitable, even if it's a surprise). So the term cadence, in tonal music, usually refers to the ending chord plus the chord or two immediately before it that led up to it. There are lots of different terms for the most common tonal cadences; you will find the most common terms below. Some (but not all) modal musics also use harmony to indicate cadence. Melody: In the major/minor tradition, the melody will normally end on some note of the tonic chord triad, and a melody ending on the tonic will give a stronger (more final-sounding) cadence than one ending on the third or fifth of the chord. In some modal musics, the melody plays the most important role in the cadence. Like a scale, each mode also has a home note, where the melody is expected to end. A mode often also has a formula that the melody usually uses to arrive at the ending note. For example, it may be typical of one mode to go to the final note from the note one whole tone below it; whereas in another mode the penultimate note may be a minor third above the final note. (Or a mode may have more than one possible melodic cadence, or its typical cadence may be more complex.) Rhythm: Changes in the rhythm, a break or pause in the rhythm, or a slowing of or pause in the harmonic rhythm are also often found at a cadence Teori Musik 2 Page 57 Texture: Changes in the texture of the music also often accompany a cadence. For example, the music may momentarily switch from harmony to unison or from counterpoint to a simpler block-chord homophony Form: Since cadences mark off phrases and sections, form and cadence are very closely connected, and the overall architecture of a piece of music will often indicate where the next cadence is going to be - every eight measures for a certain type of dance, for example. (When you listen to a piece of music, you actually expect and listen for these regularly-spaced cadences, at least subconsciously.) Harmonic Cadence The harmonic cadence (English), turnround (jazz), cadencia armónica (Spanish), cadenza armonica (Italian), cadence harmonique (French) or Schlusskadenz (German) is one type of cadence. We have already described how, by writing in a certain way, composers will give a piece a strong sense of key. When describing triads and chords, we mentioned that some triads and some chords are more 'stable' than others. 'Unstable' chords and triads want to resolve to more stable ones. The most 'stable' chord will be the tonic chord and so any sequence ending with the tonic chord will seem to have reached a 'completion' while those ending on other chords will seem still to be unresolved. This is the fundamental difference between the perfect and plagal cadences (where both end on the tonic chord and are called, collectively, authentic cadences) and the other two, the interrupted and imperfect, which do not. Perfect Cadence also Cadenza perfetta (Italian), Hauptschluss (German), Cadence parfaite (French). Let us look at the fundamentals of a perfect cadence, also called the full close. The perfect cadence gets its power from two particular note sequences. • the bass line moves from the dominant (fifth) to the tonic (key note) - in C • if the bass moves down from dominant to tonic the effect is stronger than major or C minor, from G to C; when the bass moves up from dominant to tonic; Teori Musik 2 Page 58 • if the bass moves up from dominant to tonic and then drops an octave to the lower tonic, the effect is strengthened again; • the treble line, or at least a treble line, moves from the leading note to the tonic - in C major or C minor, from B natural to C; • the effect is strongest if the 'leading note' to 'tonic' movement is part of the melody. To summarize, the perfect cadence is always authentic - it uses a V-»I or V-»i progression, where both triads are in root position, and the tonic note of the scale is in the highest part. This is the most decisive cadence and the I (i) chord is felt to be very conclusive. Its strongest version is in the extended cadence IV-»Ic-»V-»I, which is commonly used as the final ending in long pieces of music. The perfect cadence can be seen as analogous to a full-stop. Writers notate this sequence V-»I or V-»i. Gambar 79. Perfect Cadence There is a second sequence of chords that incorporates both the features we mentioned above and uses a dominant 7th in place of the dominant chord above. These cadences are called 'leading note (or tone) imperfect authentic cadences'. Adding the 7th makes the dominant, which otherwise is only slightly unstable and therefore only weakly drawn towards the tonic, more dissonant and in greater need of resolution - in other words, the dominant 7th chord is more 'unstable' than the dominant chord. In the key of C major or C minor, the dominant 7th is the minor 7th in the key of G major, F natural. The F natural wants to resolve to E in C major or to E flat in C minor. Gambar 80. Perfect Cadence with V7 Teori Musik 2 Page 59 Writers notate this sequence V7-»I. When the perfect cadence ends a piece of music both the dominant and tonic chords should be in root position. Note that we don’t say must as some writers of theory books do. Composers like to break the rules! However the chord sequence is generally most effective when both chords are in root position. When the cadence occurs in the middle of a piece, there is no need to use it in its ‘strongest’ form. Either chord may be inverted – even both – whether the dominant has a 7th or not. Notes in both chords can be doubled although it is better not to double the 7th in the dominant chord. Cadences like these are called ‘imperfect authentic cadences’: the triads are not in root position (inverted imperfect authentic cadence), and/or the tonic is not in the highest part (root position imperfect authentic cadence). Note in each case the final chord is the tonic. When the tonic note is not in the highest part, it slightly weakens the decisiveness of the conclusion. When the V is inverted, it weakens the decisiveness and strength of the progression. When the I (i) is inverted, it weakens the conclusiveness of the tonic to a much greater degree. Although the key centre is strongly established by this progression, it does not provide a proper sense of conclusion because the inversions of the triads are not, in themselves, stable entities. Such a cadence is often used where a perfect cadence would seem overly emphatic – it does not check the flow of the music too severely. This type of cadence is perhaps analogous to a comma. Plagal Cadence also Amen cadence, Cadenza plagale (Italian), Plagal Kadenz (German), Cadence plaine (French). The plagal or church cadence replaces the dominant, or dominant 7th chord, with a subdominant chord, that is a chord on the 4th. The effect is weaker than in the perfect cadence but was popular in music of the sixteenth century. Certainly, both the perfect and plagal cadences, give a feeling of closure when used at the end of pieces of music. The absence of the leading note in the subdominant chord makes it weaker than the dominant chord as a preparation for the tonic chord. The plagal cadence is usually defined as one whose penult is IV and whose final is I (or whose penult is iv and whose final is i). Teori Musik 2 Page 60 Some theorists have widened its definition to include cadences whose penult is on the subdominant (flat) side of the tonic e.g. ii-»I. The term is best used to describe cadences in which the penult contains the tonic degree. The only triads which contain the tonic degree (except for I and i) are IV, iv, VI and vi. The vi triad is not found as the penult in any effective cadence and so it can be ignored. This gives the following endings: IV-»I, iv-»I, iv-»I, IV-»I, VI-»i. All of these cadences have a penult which can also harmonise the tonic note. This is why the plagal cadence is sometimes called the Amen cadence because of its use at the end of hymns. Gambar 81. Plagal Cadence Writers notate this sequence IV-»I. Imperfect Cadence also Half cadence, Cadenza imperfetta (Italian), Halbschluss (German), unvollkommene Schluss (German), Cadence imparfaite (French). Both the perfect and plagal cadence end on the tonic chord. Similarly, the imperfect authentic cadences also end on tonic chords. The latter should not be confused with the half, open or imperfect cadence which always ends on the dominant chord and which can be approached from any other chord, the most common being I, II, IV or VI. We give examples of a number of imperfect cadences below. Teori Musik 2 Page 61 Gambar 82. Imperfect Cadence Interrupted/Deceptive Cadence also Cadenza finta (Italian), Cadenza sfuggita (Italian), Cadenza d'inganno (Italian), Unterbrochener Schluss (German), Trugschluss (German), Cadence interrompue (French), Cadence trompeuse (French). The expectation that a dominant chord moves to a tonic chord, thus producing a perfect cadence, is very strong. For this reason, if a dominant chord is followed by any other chord, the feeling is one of 'interruption'. So an interrupted cadence is a dominant chord followed by any chord except the tonic. Sometimes the term 'deceptive' is used to describe these progressions. The two terms, 'deceptive' and 'interrupted' are generally considered to be synonymous, but to make a distinction between them, we give a clearer definition for two similar, but different, types of cadential progression. These cadences are the same as the authentic, except that instead of resolving from V to I (i) they resolve to another chord. The effect of this progression is dependent on the chord to which they resolve. Deceptive Cadence When V resolves to vi it sounds like a very effective resolution because vi is able to function as a genuine tonic - i.e. as a chord of rest and resolution. In this way this cadence is genuinely deceptive - the ear is expecting something, but it is given something else which has such a similar function that it is not easily detected - the ear is fooled. There are other chords which may be deemed to be deceptive finals - IVb and I7 are good examples. The IV is usually used in its first inversion and sounds similar to vi. I7 sounds like I but it has a different function - as a dominant seventh it cannot function as an effective tonic (in common practice tonal harmony) and seeks resolution to a triad a fifth below. Teori Musik 2 Page 62 Due to their similarity to genuine tonics both these chords have been introduced deceptively. Any other chords which bear similarity to the genuine tonics of I, i and vi, can be introduced deceptively. Interrupted Cadence When the V chord resolves to a chord which bears no relation to a true tonic, the cadence can be described as interrupted. It sounds like a normal cadence, but it suddenly changes tack and instead of resolving it moves to a completely different place. The cadence has been interrupted. There is no distinction made between the interrupted and deceptive cadences in conventional music theory; they are simply synonyms and either will be chosen at the behest of the author. We give some examples below. Gambar 83. Interrupted Cadence The ‘Six-Four’ Cadence There are clearly a considerable number of possible cadences not included in the four discussed above. The ‘six-four’ cadence or VI-»IV cadence, is interesting and we illustrate it below. Gambar 84. ‘Six-Four’ Cadence Feminine Endings Teori Musik 2 Page 63 Cadences are normally found where the second chord is rhythmically stronger than the first. When the first chord is stronger than the second, the cadence is called 'feminine'. Music from the period of Haydn and Mozart used the progression Ic-»V, i.e. second inversion tonic chord to dominant chord, so often that one might call it 'characteristic' and is sometimes called a 'half' cadence. It should be noted that this pattern produces two chords with the same bass note in both chords. Gambar 85. Feminine Endings F. Other Scales Jazz Scale The jazz scales can be thought of in the same way as modes: a set of scales starting on different degrees of an underlying scale that use only the notes of that scale. Several commentators object to this approach. They argue that jazz scales are just 'altered' scales and the suggestion that the various scales are related to a single Urscale leads to a serious misunderstanding of the way scales are used in jazz and, more importantly, of how jazz musicians actually think about their use. We are sympathetic to this view but many other commentators take a different view on this and so, in a spirit of completeness, we offer the summary below. The 'standard' Church modes may be thought of as having been derived from an underlying Ionian or major scale. In a similar way, jazz scales can be thought of as having been derived from an ascending melodic minor scale which can be thought of also as a rising major scale but with the third degree lowered (or flattened). As with the ‘standard’ modes, each scale starts on a different degree of the ascending melodic minor scale. Unlike the ‘classical’ melodic minor scale, the jazz scales (and modes) remains the same when played up or down. We met jazz scales earlier when discussing the modes based on the melodic minor scale but we show them again. Teori Musik 2 Page 64 Blues Music of certain genres have developed around certain chordal patterns and related scales. The blues scale supposedly has its roots in African American music dating back to the days of slavery, but the exact origins of its modern incarnation are unknown. Blues music uses the ‘blues scale’ one of which we show below. Gambar 86. Blues Scales The blues scale is neither a minor nor a major scale but the internal dissonances provide the 'colour' that one associates with blues music - the 'blue' notes are the minor third and the 'flat five'. You should note the unusual naming of the fourth note of this scale - really a diminished 5th - called the 'flat five'. In vocal music, the second degree of the scale is often sung somewhere between an Eb and an E. In instrumental music, various techniques are employed to achieve the same effect, such as stretching the string while playing an Eb on a stringed instrument, lipping down an E on a wind instrument, or striking both the Eb and E simultaneously on a keyboard instrument. The flatted seventh and fifth also are not always sung or played exactly on the notated pitch. Variations on the blues scale that include the natural third, fifth, or seventh can be used as well. Also, note that if the flatted fifth is omitted, the resultant scale is the minor pentatonic scale which we consider below. The minor pentatonic scale can thus be used as a substitute for the blues scale, and vice versa. The beauty of the blues scale is that it can be played over an entire blues progression with no real avoid notes. If you try playing lines based on this usage (for example, a C blues scale over a C7 chord) you get instant positive feedback, since almost everything you can do sounds good. This unfortunately leads many players to overuse the scale, and to run out of interesting ideas quickly. One way to introduce added interest when using the blues scale is to use any special effects at your disposal to vary your sound. This can include honking and screaming for saxophonists, growling for brass players, or using clusters on the piano. Teori Musik 2 Page 65 Many draw attention to characteristic rhythms associated with ‘blues’ music. In fact, the best-known rhythm, called the ‘eight-note triplet shuffle’, is found also in jazz and swing. This rhythm is illustrated below. Gambar 87. Blues style G. Altered Chords Any chord, whether major, minor, augmented or seventh, can be 'modified' or 'altered' thereby changing its character or 'colour'. In particular, with the dominant seventh which is wholly characterised by three notes, the root, major third and minor seventh, the fifth, ninth, eleventh and thirteenth may be altered. Raising or lowering by a semitone the notes of the chord and its extensions may change its dissonance. This increases the 'tension' of the chord and increases the sense of release as one moves to a less dissonant chord, for example the tonic. Care must be taken that these altered chords are correctly numbered and later we look at a few examples to show how this is done. In any chord, a note is said to be altered if it differs from that found in a major scale based on the key note of the chord. By making reference to the major scale, a process known as parallel major comparison, notes not in the scale may be seen as inflected, that is they have been 'sharped' (raised) or 'flatted' (lower). By convention, certain notes are never thought of in this way. The most obvious example is the root itself. If it is 'sharped' or 'flatted' we usually use the new note to establish the new standard major scale to which all the remaining notes are then compared. The convention is extended also to the 3rd (important in determining whether a chord is major or minor) and 7th (because of its role in dominant chord formulae) degrees of the scale. The 6th degree is excluded unless it appears one octave higher as a 13th. However, both the 2nd (and its octave equivalent, the 9th) and the 4th (and its octave equivalent, the 11th) may be 'altered' as can the 5th. Whether, in fact, particular alterations make harmonic sense often depends on various enharmonic relationships: for Teori Musik 2 Page 66 example a 'sharped' 2nd degree is enharmonically equivalent to a 'flatted' 3rd which is we have already discovered is excluded. The standard way of writing altered seventh chords is to identify the quality of the chord (i.e.whether major, minor or dominant) and then add the modified note in brackets. If more than one note is altered both are shown, one above the other in one pair of brackets, with the widest interval at the top. If the fifth has been raised then the usual symbol (+ for augmented) appears before the 7. So: • A9 ( 11) represents a ninth chord on A with the root, a major 3rd, a 11) represents a ninth chord on A perfect 5th, a flattened 7th, a major ninth and a sharpened 11th; while A 9( with the root, a major 3rd, a perfect 5th, a flattened 7th, a major ninth and a sharpened 11th. • G7 ( ) represents a seventh chord on G, with the root, major 3rd, diminished 5th, minor 7th and minor 9th. The main purpose of alternating chords is to increase the effectiveness in a progression. We have seen already how a dominant seventh is more effective than a dominant in a perfect cadence. The examples below show how altered fifths, ninths, elevenths and thirteens can work - listened to the top note of each chord in each example. Lowered Fifth of the Dominant Raised Fifth of the Dominant Teori Musik 2 Page 67 Lowered Ninth of the Dominant Raised Ninth of the Dominant Raised Eleventh of the Dominant Lowered Thirteenth of the Dominant Gambar 88. Altered chords Neapolitan Sixth One 'named' altered chord is the Neapolitan Sixth or Phrygian II which is the first inversion of a major chord on the flattened (sometimes described as 'lowered') supertonic, the second degree of the major and minor scales used. This is a member of the family of Neapolitan chords. It is also called Phrygian II It is called 'sixth' because it is most commonly used in first inversion (or 6/3 position) and is named symbolically as N6. It is commonly used to reach the dominant chord or the tonic chord in second inversion when performing a cadence. In the key of C the flattened (or 'lowered') supertonic is D flat, the major chord would be D flat, F and A flat. The first inversion has F in the bass. In either form, it is the most common way of modulating down a semitone. It is very occasionally used in root Teori Musik 2 Page 68 position, N, or in second inversion, N64, (in either case it is then called a Neapolitan chord). When using a Neapolitan sixth in major keys, its fifth should be lowered in order to create the same chord accidentals as in the minor key. The examples illustrated below are in D minor and F major. Gambar 89. Neapolitan Sixth Chords One striking use of the Neapolitan Sixth chord occurs in the Andante of Schubert's Symphony in C major. Schumann praised this particular passage in his review published in Neue Zeitschrift für Musik (1840). The alternating dominant chords on C, F and D resolve via a Neapolitan Sixth to the principal theme heard on the oboe in bar 160. H. Musical Analysis Dr. James Sobaskie, at the University of Wisconsin, set out his program entitled A Strategy for Musical Analysis Goals The main goals in most tonal pieces are usually signaled by cadences, and cadences play critical roles in sectionalizing music. Identify all important cadences, and determine the relative weight or value of each cadence's corresponding goal. Changes in dynamics, texture, tonal center, or mode, strong thematic returns, and even elements of notation may be helpful in determining the individual nature and weight of each goal. Is there a logical relation or sequence which links them? Teori Musik 2 Page 69 Means It is important to understand the means by which a piece's goals are achieved. Identify the harmonic and contrapuntal elements which are directly involved in creating the cadences you've identified, the cadential chords, essential chromatic elements (if any), and any distinctive voice-leading features. Are there any similarities in the ways the cadences are achieved, or any pattern in the degrees of closure they imply? Themes A composition's character, expressiveness, and unity all depend on its thematic material. Identify all statements of the main theme or themes. Are there any other special transformations or striking variations of the theme? How are the themes developed? Are there any special relations among the themes? Motives Themes are typically composed of smaller components called motives, and a motive may consist of a collection of pitches, rhythmic cell, harmonic unit, textural feature, or some other distinctive musical idea. Identify the smaller components of the main theme(s) which appear elsewhere, perhaps in the episodes or accompanying counterpoint. How are the motives varied and developed? Unique Features Every good piece boasts something specialÑfeatures which distinguish it, make it novel, or represent original technical developments. Identify several musical features which seem particularly unique in the composition. What particularly interests, impresses, or inspires you about the composition and why? Form Most pieces of music may be subdivided into smaller sections, each of which contributes something special to the whole. Identify the main parts of the composition's musical form and provide a concise statement which summarizes its function. What does each section do in the context of the whole piece? Teori Musik 2 Page 70 Tonal Structure Tonal compositions typically feature arpeggiations, step progressions, and other pitch structures which elaborate the tonic triad or other structural harmonies, often covering considerable spans of music. Identify any large-scale structural elements you can. How do their components relate to the goals you identified earlier? Non-Harmonic Notes Not all notes in a piece of harmony have anything to do with a particular chord or chord progression. These are called non-harmonic notes, non-chordal notes, nonchord notes or non-essential notes. Tabel 7. Non-harmonic Notes Non-Harmonic, Non-Chord, Non-Chordal or Non-Essential Notes classification symbol type description passing notes passing tones (US) transient notes nota di passaggio (Italian s.) Durchgangsnote (German s.) Durchgangston (German s.) Übergangsnote (German s.) note de passage (French s.) p melodic notes that pass by a tone (step) or semitone (half-step) between chord notes. neighbouring notes n neighboring tones (US) melodic notes that leave and return to the same chord note by a tone (step) or semitone (half-step). melodic a note that is approached by leap, but resolves to a chord note by a tone (step) or semitone (half-step) - the resolution often in the opposite direction to the leap. melodic the opposite of an appoggiatura, being approached by a tone (step) or semitone (half-step) and resolving to a chord note by a leap. appoggiatura a notes de gout (French) escape note Teori Musik 2 e Page 71 s a note that is held over, that is approached by itself, and resolved to the chord note by harmonic stepping down a tone (step) or semitone (half-step) after the chord is played. retardation r a note that is held over, that is approached by itself, and resolved to the chord note by harmonic stepping up a tone (step) or semitone (half-step) after the chord is played. anticipation syncopation ant harmonic pedal note pedal point ped a repeating note or note held harmonic over while the harmony changes. auxiliary note nota ausiliare (Italian) Nebennote (German) note secondaire (French) aux a note that relates to a chord note but may not be a neighbouring note. c.n., n. gr. or c.t. two notes, one that leaves the chord note by a tone (step) or semitone (half-step), then leaps to the next non-harmonic note by skipping over the chord note, before resolving to the same chord note by a tone (step) or semitone (half-step). suspension prolongation changing notes neighbor group (US) changing tones (US) nota cambiata (Italian s.) Wechselnote (German s.) Wechselton (German s.) note changée (French s.) melodic the chord note arrives before the chord is played. It is usually approached by tone (step) or semitone (half-step). Note: the term 'appoggiatura' defined above is a description for a non-harmonic note, and should not be confused with an 'appoggiatura' used as an ornament which is discussed in lesson 23. The French term notes de gout or the English term 'diminutive notes' may be applied to the non-harmonic appoggiatura as well as to other ornamental notes. The term 'syncopation' as a description for a non-harmonic note, should not be confused with the term 'syncopation' used when discussing rhythm. Teori Musik 2 Page 72 I. Harmonic or Overtone Series Sauveur, following on from work, published in 1673, by two Oxford men, William Noble and Thomas Pigot, noted that a vibrating string produces sounds corresponding to several of its harmonics at the same time. The dynamical explanation for this was first published in 1755 by Daniel Bernouilli (1700-1782). He described how a vibrating string can sustain a multitude of simple harmonic oscillations. We call this the 'superposition principle'. The harmonics are integer multiples of the 'fundamental frequency', also called the 'first harmonic' or 'generator'. So for a string with a fundamental frequency of 440 Hz, that is fixed at both ends, the harmonics are integral multiples of 440 Hz; i.e. 440 Hz (1 times 440 Hz), 880 Hz (2 times 440 Hz), 1320 Hz (3 times 440 Hz), 1760 Hz (4 times 440 Hz) and so on. The term overtone is reserved for those harmonics that lie above the 'fundamental frequency' (also called the 'fundamental' or 'generator'). To see the harmonics of a violin string visit Standing Waves, Medium Fixed At Both Ends which demonstrates visually the 1st, 2nd, 3rd, 4th and 5th harmonics produced by a string on a violin. The first 15 harmonics (or fundamental plus 14 overtones) are given below, their frequencies set out in the third column. The fourth column, headed 'normalized', is the result of dividing the frequency of the harmonic by powers of 2 (transposing the sound down one octave for each power of 2) so that it lies within a single octave (between 440 Hz and 880 Hz). The nearest note in the chromatic scale on A is given in the fifth column while the last column, headed %, shows how close the normalized frequency is to the frequency of the nearest equal-tempered note diatonic to A. If you wish to investigate higher harmonics please refer to our interval calculator. We can extract a complete diatonic scale on A from the first 15 harmonics. The D is somewhat sharp while the F#, in particular, is very flat. It would not be impractical to tune a stringed instrument to play diatonic melodies in the key of A using this scale. You will see that the perfect fifth appears in this harmonic series as the third harmonic. The ratio of the frequencies of the third and second harmonic is (1320:880) which is (3:2). However the fourth, the note D, which should have a frequency in ratio to A of (4:3) (1.33333), actually comes out as 1.375. A more serious problem is the absence of an interval one could call a tone or a semitone. The Greeks defined their tone as the difference between a perfect fifth and a perfect fourth, but the fourth is not perfect in this scale. There is no way of deriving chromatic scales either by starting from A or by starting from another note, say, the perfect fifth, E. Teori Musik 2 Page 73 We notate below the harmonic or overtone series based on C. The overtones shown in brackets are only approximately equivalent to the equal tempered scale notes on the staff. The overtone count (1, 2, 3, etc.) are one more than the harmonic count in the table above (1, 2, 3, etc.). So the first overtone is the second harmonic. Some commentators call the fundamental (or first harmonic) the 'zeroth' overtone. Gambar 90. Overtone Series Inharmonicity Before leaving the discussion of harmonics, it would be useful to point out that not all systems produce their harmonics as neatly as, say, the strings of a violin. Some instruments produce harmonics that are not integer multiples of the fundamental. The term inharmonicity is used in music for the degree to which the frequencies of the overtones of a fundamental differ from whole number multiples of the fundamental's frequency. These inharmonic overtones are often distinguished from harmonic overtones, which are all whole number multiples, by calling them partials, though partial may also be used to refer to both. Since the harmonics contribute to the sense of sounds as pitched or unpitched, the more inharmonic the content of a sound the less definite it becomes in pitch. Many percussion instruments such as cymbals, tam-tams, and chimes, create complex and inharmonic sounds. However, strings too, become more inharmonic the shorter and thicker they are, which is an important consideration for piano tuners, especially when setting the thick strings of the bass register. Strings on a piano are generally thicker and therefore shorter than those on harpsichords in order, as we learn from the harpsichord and piano maker Johann Andreas Stein writing in 1769, to accommodate "the blow of the hammer." Inharmonicity is found, also, in the instruments of the gamelan, particularly in the overtones of the free vibrations of the gongs, bells and strings. The inharmonic partials of the instruments require that the octave be stretched by a ratio of 2.02/1, or 17 cents Teori Musik 2 Page 74 (100ths of a semitone in 12-tone equal temperament) per octave. The stretched octave sounds more harmonious when tuned so frequencies of vibration coincide, rather than when tuned exactly. J. Pythagorean Series Before going any further we should clarify the distinction between tuning and temperament. We quote below from Pierre Lewis's article Understanding Temperaments. A tuning is laid out with nothing but pure intervals, leaving the Pythagorean or ditonic comma to fall as it must. A temperament involves deliberately mistuning some intervals to obtain a distribution of the comma that will lead to a more useful result in a given context. Solutions can be grouped into three main classes: 1. tunings (Pythagorean, just intonation) 2. regular temperaments where all fifths but the wolf fifth are tempered the same way; note: regular meantone implies that all major thirds are identical 3. irregular temperaments where the quality of the fifths around the circle changes, generally so as to make the more common keys more consonant Temperaments are further classified as: o circulating or closed if they allow unlimited modulation, i.e. enharmonics are usable (equal temperament, most irregular temperaments) o non-circulating or open otherwise (tunings, most regular temperaments) The choice of a particular solution depends on many factors such as o o o the needs of the music (harmonic vs melodic, modulations) the tastes of the musicians and listeners the instrument to be tuned (organ vs harpsichord - tuning the former is much more work so one needs a more convenient solution), o aesthetic (Gothic's tense thirds and pure fifths vs the stable, pure thirds of the Renaissance and Baroque) and theoretical considerations, and ease of tuning (equal temperament is one of the more difficult) Teori Musik 2 Page 75 We should first ask whether the perfect fifth, one of the three intervals (octave, fifth, and fourth) which have been considered to be consonant throughout history by essentially all cultures, form a logical base for building a chromatic scale; for example, one starting from the note C? Gambar 91. Pythagorean Series We illustrate above a sequence of fifths starting from F, two octaves below middle C. The image is taken from Tuning Systems by Catherine Schmidt-Jones. A sequence starting from C would progress as follows: C G D A E B F# C# G# D# A# F C, the first 7 members providing us with the diatonic scale of G major (G A B C D E F# G) If one applies the ratio (3:2) twelve times, and normalizes the result by dividing by powers of 2, the result is sharp of an octave by a ratio called the Pythagorean or 76iatonic comma (524288:531441). We find also that if we use these frequencies to construct a scale, the major third (G B) and the octave (G G, the latter generated from the twelfth power of (3/2)) are both too large. Tabel 8. Pythagorean Intervals Pythagorean intervals and their derivations (also called by modern theorists, the 3-limit system because all ratios are powers only of 2 and/or 3) Interval Ratio Derivation Cents Unison (1:1) Unison 1:1 0.000 Minor Second (256:243) Octave - Major Seventh 90.225 Major Second (9:8) (3:2)2 203.910 Minor Third (32:27) Octave - Major Third 294.135 4 Major Third (81:64) (3:2) 407.820 Fourth (4:3) Octave - Fifth 498.045 Teori Musik 2 Page 76 Augmented Fourth (729:512) (3:2)6 611.730 1 Fifth (3:2) (3:2) 701.955 Minor Sixth (128:81) Octave - Major Third 792.180 3 Major Sixth (27:16) (3:2) 905.865 Minor Seventh (16:9) Octave - Major Second 996.090 5 Major Seventh (243:128) (3:2) 1109.775 Octave (2:1) 1200.000 Octave (2:1) A number of proposals have been considered in order to 'improve' the Pythagorean scale. For instance, the Greek major tone, represented by the ratio (9:8) could be married to the semitone, represented by the ratio (256:243) and a scale of five whole tones plus two semitones could be formed. Now the octave is exact but the thirds are still sharp and, because the sharps and flats are not enharmonic, there are problems when changing key. Another solution employed a pure fourth (4:3) and set the octave as a pure fourth above a perfect fifth, before using the ratio (9:8) to fill in the remaining tones. The remaining semitones were chosen on the basis of taste. Unfortunately, the third is still sharp! A further solution was to slightly narrow the fifth in every or in only some of the notes arising from the circle of fifths, so absorbing the comma of Pythagoras. This kind of solution made it possible to move from one key to any other and formed the basis of the well-tempered system promoted in 1722 and again in 1724 when Bach published his "Well-Tempered Clavier". The series of keyboard preludes and fugues was written as much to show the characteristic colour of different keys as to demonstrate that, using this tuning system, a composer was no longer prevented from exploring every minor and major key. K. Meantone Scale The first mention of temperament is found in 1496 in the treatise Practica musica by the Italian theorist Franchino Gafori, who stated that organists flatten fifths by a small, indefinite amount. This practice was formalised in what is called the mesotonic or meantone (also written mean-tone) scale. It was always particularly favoured by organists and explains why organ music from the period the early sixteenth to the Teori Musik 2 Page 77 nineteenth century was written in a relatively small number of keys, those that this scale favoured. Arnolt Schlick's Spiegel der Orgelmacher und Organisten (1511) described both the practice of and formulae for mean-tone tuning which makes it clear that it was already in use. Pietro Aron produced a more thorough analysis in Toscanello in Musica (1523), which sufficed for all practical purposes. The earliest complete description was published by Francisco de Salinas in De Musica libri septem (1577). How was it set? Based on C, the method relied on using the first five notes from the circle of fifths from C, namely C, G, D, A, E and setting a pure third between C-E by narrowing the fifths by a small amount - from a ratio of (3:2) to a ratio of (2.99:2). D, the note between C and E was set so that the ratio between D and C was identical to that between E and D, so placing D in the mean position between C and E, hence the scale's name. What happened after this to complete the chromatic scale introduced a number of variants which only the more studious of our readers are likely to pursue. Suffice it to point out that the results generally work well in the keys C, G, D, F and B flat but outside these serious problems arise and composers writing for this system avoided keys more distant from C. Pietro Aron's description of meantone tuning is the best known. All but one of the fifths are flattened from the pure (3:2) ratio by 1/4 of the syntonic comma. The remaining fifth ends up being sharp by 1 3/4 of the syntonic comma (the wolf). The syntonic comma is the ratio (9:8) divided by (10:9), which is the ratio between a pure C-D interval and a pure D-E interval. In a pure harmonic series starting at CCC (CCC is English organ nomenclature: bottom C on a 16' voice), middle C is 8 times the fundamental, middle D is 9 times the fundamental, and middle E is 10 times the fundamental. The result of this procedure is a scale with 8 pure major 3rds and 4 diminished 4ths. But there were other meantone procedures known in the 16th and 17th centuries, especially by 2/7th comma, in which the minor 3rds are pure and the major 3rds beat, and 1/3rd comma. In the the mid-eighteenth century, several instrument-makers and theoreticians used a 1/6th comma meantone temperament, particularly Gottfried Silbermann and Vallotti. A bizarre fact is that equal temperament is really meantone by 1/12th comma, that is every fifth is narrowed by 1/12 of the syntonic comma and the interval between C - D and between D - E are equal. So, all the modern pianos you have ever heard are in one of the many types of meantone temperament! Teori Musik 2 Page 78 L. Equal Temperament It must have been a brave man who first pointed out to a world wedded to centuries of mean, natural and Pythagorean tuning, that a scale could be formed using a universal ratio for a semitone such that successive application of this ratio generated the notes of a chromatic scale before completing the octave with its harmonic ratio of (2:1), and that using such a system one might play in tune in any key. This universal ratio is the twelfth root of 2. This tuning system, called 12EDO (Equal Divisions of the Octave), 12-tET by modern tuning theorists or Standard European 1/12 Diatonic Comma Equal Temperament by others, found favour amongst the lutenists of the sixteenth century who, having tuned the instrument's strings to different notes, could fret each at an identical point from the nut to produce parallel equal-tempered scales something that would be impossible using any other temperament. Unfortunately, as Nicola Vicentino, the inventor of the archicembalo with six rows of keys that enabled six different versions of any scale to be performed complete with temperamental adjustment, observed, this produced horrible clashes between the lute tuned to an equal-tempered scale performed with a keyboard tuned using mean-tone temperament. Evidence of the use of equal temperament in consort singing comes in the madrigal O voi che sospirate a miglior note by Luca Marenzio (c.1553-1599). The composer modulates completely around the circle of fifths within a single phrase, using enharmonic spellings within single chords (for instance, simultaneous C# and Db), which would be impossible to sing unless some approximation of equal temperament is being observed. At the time, keyboard players found the equal-tempered scale more 'sour' than the other systems in the five keys commonly used, and because most composers worked only in a limited number of keys the benefits to be had from the equal-tempered system in more distant keys were not at all obvious. This probably helped delay its acceptance until such time as enough 'new' ears had become used to it, or enough composers had explored more distant keys with it in mind. In England, it was not until 1842 that the first organ, that of St. Nicholas in Newcastle-upon-Tyne, was tuned to equal temperament. It is still surprising that the system may have been known in Europe as early as the fifteenth century (some have suggested that equal temperament was first explained by Chu Tsai-yü in a paper entitled A New Account of the Science of the Pitch Pipes published in 1584). However, Henricus Grammateus had already drawn up a fairly close approximation in 1518, and Zarlino corrected Vincenzo Galilei's plan for a twelve- Teori Musik 2 Page 79 stringed equal-tempered lute (Galilei had invoked Aristoxenus as his inspiration in this project). Even though the mathematician and music theorist Mersenne produced a correct and systematic description in 1635, equal temperament was not adopted until 150 years later in Germany and Austria, while Britain and France delayed for over two centuries. As late as 1879, William Pole was writing in his book The Philosophy of Music, "The modern practice of tuning all organs to equal temperament has been a fearful detriment to their quality of tone. Under the old tuning, an organ made harmonious and attractive music. Now, the harsh 3rds give it a cacophonous and repulsive effect." In 1940, another sceptic, L. S. Lloyd, wrote an article entitled The Myth of equal Temperament in which he described the improbability of singers, or players of any instrument with variable intonation of being able to sing or play in true equal temperament; or, a keyboard instrument actually being tuned to theoretically correct equal temperament. It is worth remembering that Vincenzo Galilei (1520–1591), an Italian lutenist, composer, and music theorist, and the father of the famous astronomer and physicist Galileo, observed that instrumentals and singers failed generally to observed any theoretical tuning or temperament. As Barolsky writes "all intervals, Galilei argued, are natural, not simply those mathematically determined. In performance, a fifth that is a bit off the (3:2) ratio is just as useful as one that is exactly on the mark." It is interesting to read what the German composer, violinist and conductor Louis Spohr (1784–1859), writing in his Violinschule of 1832, has to say on the subject of equal temperament. M. Just Intonation Barbour writes, in Tuning and Temperament, "it is significant that the great music theorists ... presented just intonation as the theoretical basis of the scale, but temperament as a necessity". Strict adherence to just intonation could, under certain circumstances, lead to pitch descent by tuning, so-called commatic drift. Commatic drift is defined by Paul Erlich (and quoted in Joe Monzo's Tonalsoft Encyclopedia of Microtonal Music Theory) as "an immediate change in the pitch of a note, as the note is held or repeated from one harmony into another". He continues, "a drift is an overall pitch change of the entire scale. its effect on the pitch of any note doesn't become evident until an entire "comma pump" chord progression has been traversed. For example, in the classic problem of rendering the I-»vi-»ii-»V-»I progression in strict Just Intonation, one either has a shift (the 2nd scale degree shifts Teori Musik 2 Page 80 from 10/9 in the ii chord to 9/8 in the V chord) and no drift, or a drift (the final I is lower by 80:81 than the initial I) and no shifts." However, despite many examples of where, were the intervals defined by Just Intonation strictly to be adhered to, there would be a drift in pitch, musicians actually 'correct the pitch' by tempering various intervals. In fact, it is the pitch of individual notes that vary ever so slightly through chordal progressions, the net effect of which is to hold the overall pitch reasonably constant. The natural or harmonic scale is being explored again in the twentieth century through the work of Harry Partch, Lou Harrison and others who, with the advantages of modern technology, have sought to explore musical systems that were abandoned more for their practical limitations than for any lack of aesthetic interest. One has only to consider the complexity of a piano built to perform music based on a microtonal system, or remind ourselves of Nicola Vicentino's archicembalo, instruments that have been made and played, to appreciate that the equal-tempered scale brings with it certain advantages. Following on the ideas of Theodor Adorno, the American composer Ben Johnston believes that music has the power to influence and even control social trends. Johnston believes that an equal tempered tuning system based on irrational intervals contributes to the hectic hyper-activity of modern life. The wildly beating sonorities of equal temperament are thought to resemble (and perhaps foment) the fast-paced, unmeditative current of present-day Western existence. Many just intervals lack the sharp vibrancy of irrational intervals (and higher-order rational intervals) and thus are sometimes felt to convey an affect of stasis and meditative calm. Indeed, cultures whose tuning systems draw heavily on purely tuned intervals (e.g., North Indian classical music) tend to value meditative social attitudes more greatly than in the West. N. Pythagorean Strictly, not a temperament but a tuning because natural intervals are not adjusted but allowed to fall where they may, it dates back to 500 BC. This simple scale creates eleven pure fifths around the circle, leaving the entire Pythagorean comma between G# and Eb There are four pure major thirds at B-D#, F#-A#, Db-F, and Ab-C, but these are not particularly useful. The remainder are quite harsh. Teori Musik 2 Page 81 O. Timbre/Tone Colour All musical instrument have acoustical properties determined by their form and material of construction. Musical instruments require intervention from an actuator (or performer) to provide the energy that will initiate the production of sound. Sound is a form of mechanical energy that requires a medium through which to propagate or travel. A sound travels from a source, through a medium to a detector. For us the detector is the human ear. If the sound is to be considered musical with a specific pitch or tone quality, rather than just 'noise', the mechanical energy has to radiate from the instrument as regular disturbances, what we call 'periodic' vibrations. The vibrator producing fluctuations, oscillations, pulsations or undulations (these terms are all equivalent) will be different on different instruments and the initiation and resonance may arise from two separate processes. We say that the sound producing system has two parts - the initiator and the resonator. Examples of initiators: 1. String - violin, guitar, piano, psaltry, harp 2. Reed - clarinet, oboe, bassoon, English horn. 3. Lips - trumpet, trombone, French horn, tuba. 4. Membrane - drum, tambourine 5. Wood - wood block, xylophone. 6. Metal - bells, cymbals. 7. Electronic instruments - speakers that can produce vibrations Examples of resonators: 1. Wooden box which may be hollow or solid - violin, guitar, piano (sounding board) 2. Tubing - (brass, silver, wood, pipe-like) - trumpet, trombone, French, horn, 3. Chest, oral, nasal and throat cavities - human voice. 4. Electronic instruments - amplifier, tuned circuits. flugel horn, tuba, trombone. The character of the sound each instrument produces is, therefore, partly due to vibrations associated with the process of initiation and partly due to the characteristic vibrations that are generated by the resonator, initially sustained but usually decaying once energy is no longer supplied to the system. If, on a stringed instrument, the bow is Teori Musik 2 Page 82 continuously drawn across a string, the instrument is described as being in continuouscontrol mode; i.e. onset - sustain. If, however, on the same instrument, a string is plucked with a finger, the instrument is then said to be in envelope-based mode; i.e. onset - sustain - decay. In general and when the process of initiation is mechanical and occurs over a relatively short time, short relative to the persistance of the resonance response that follows, a note has a clear starting or 'onset' sound (arising from the initiator) which is distinguishable from the sound that follows (that arising from the resonator). For example, the 'tonguing' sound that begins notes produced on windinstruments is distinguishable from the sustained resonance associated with the remainder of the note. The percussive initiation of a note produced on a piano, the sound of the hammer striking the string, is distinguishable from the sound that rings on should you keep the piano key depressed for any length of time. The mechanical processes involved in sound production on musical instruments include plucking or bowing (on violin, viola, cello string bass, harpsichord), blowing (on clarinet, oboe, trumpet, trombone, recorder, voice) or striking (on drums, piano, clavichord, xylophone). It has been found that if the onset is removed from recordings of sounding musical instruments it becomes more difficult to distinguish one from another. External factors, too, can influence 'timbre' - for example, if an instrument moves in a room relative to the listener. To summarise, timbre is the spectrotemporal pattern of a generated sound indicating the way the energy in the system is distributed between different harmonics or frequency components and the way that distribution is changing over time. The instruments of the orchestra, viewed as mechanical systems, can be classified in the following manner: 1. Strings a. Bowed: Violin, viola, cello, double bass, bowed psaltry b. Plucked: Violin, viola, cello, double bass, lute, harp, citern, sitar, shamisen, mandolin, harpsichord 2. c. Hammered: Zither, dulcimer, plucked psaltry d. Struck: Piano, clavichord Woodwinds Teori Musik 2 a. Blown Flute: Transverse flute, recorder b. Blown Single reeds: Clarinet, bass clarinet, saxophone Page 83 c. 3. Brass a. 4. Blown Double reeds: Oboe, bassoon, contra bassoon, crumhorn Blown: Cornet, trumpet, French horn, trombone, Flugel horn, tuba Percussion a. Struck Tuned 1) Bells, chimes 2) Glockenspiel 3) Xylophone, vibraphone, marimba 4) Timpani b. Struck Untuned 1) Bass and snare drums 2) Cymbals 3) Tam-tam 4) Gong 5) Claves, maracas, bongos, tambourine, whip, triangle, woodblock, bells Teori Musik 2 Page 84 PENDALAMAN MATERI Petunjuk: • Pada bab ini, mahasiswa diberi kesempatan untuk melakukan browsing tentang teori musik, yang dapat diakses antara lain, melalui music theory online. • Topik-topik di bawah ini dibuat sebagai laporan untuk tugas akhir mata kuliah Teori Musik Dasar Lanjut : 1. Other-lets 2. Interval Calculator 3. Triads & chords 4. Diatonic Triads 5. Chords 6. Chords in Jazz 7. Broken & Spread Chords 8. Chords: Structure vs. Function 9. Dominant Seventh Chord 10. Naming Seventh Chords 11. Slash Chords 12. Extended Chords (9th, 11th, 13th) 13. Harmonic Cadence Teori Musik 2 Page 85 DAFTAR PUSTAKA Anonim. (1958). Rudiments and Theory of Music. Emgland : The Associated Board of The Roya; School of Music. Baker, Th. (1923). Dictionary of Musical Terms. USA : G. Schirmer, Inc. Culver, Charles A. (1969). Musical Accoustic. USA : Mc. Graw-Hill Bool Company. Dolmetsch Online-Musical Theory Online. 2009. Last modified: 12 Jan 2009. ©.Dolmetsch Musical Instruments. http://www.dolmetsch.com/theoryintro.htm Heussenstamm, George. (1987). The Norton Manual of Music Notation. New York : W.W. Norton & Company, Inc. Hindemith, Paul. (1974). Elementary Training for Musicians. New York : B. Schott’s Sohne, Mainz – Schott Music Corporation. Jones, George Thaddeus. (1974). Music Theory. New York : Harper & Row Publishers. Kheng, Loh Phaik. (1991). A Handbook of Music Theory. Malaysia : Penerbit Muzikal. Laksanadjaja, J.K. (1977). Kamus Musik Kecil. Bandung : Pernerbit Alumni. Lovelock, William. (1980). A Student’s Dictionary of Music. London : Bell & Hyman Limited. ______________ . (1933). Ornaments and Abbreviations for Examination Candidates. Norwich : William Elkin Music Services. Teori Musik 2 Page 86
