Musical message - Jacobs University Mathematics

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Math, Mind, and Music

Where: Research II, Lecture Hall

When: Tue 11:15 – 12:30

Fri 8:15 – 9:30

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Dr. Adele Diederich

Professor of Psychology

Marcel Oliver, PhD

Professor of Mathematics

Research IV, Room 117 a.diederich@iu-bremen.de

Phone: 3431

Research I, Room 107 m.oliver@iu-bremen.de

Phone: 3212

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Course Requirements: Regular class attendance; four 30 min quizzes in class – the quizzes will be based upon both the required readings, (the excursion) and information discussed in class; one student project, can be done in groups of two; possible excursions

Grading : Based upon the quizzes (80 points) and the project (20 points)

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Music, Physics, Psychophysics, and

Neuropychology: An

Interdisciplinary Approach

Reading: Roederer, Chapter 1

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Systems that are relevant to the music to hear

The player and the instrument that "makes" the music.

The air that transmit the sound

There is you, the listener.

What is the link between the chain instrument !

air !

listener

?

A.Diederich – International University Bremen – USC – MMM – Spring 2005

instrument !

air !

listener source !

medium !

receptor

1. The source emits .

2. The medium transmits .

3. The receptor detect s, registers, or, in general, is affected in some specific way.

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Source

Primary excitation mechanism

Bowing or plucking on a violin string

Oscillating reed in a clarinet

Player's lips in a brass instrument

Air stream blown against a wedge of a flute

Vibrating element

Resonator http://www.music.msu.edu/faculty/recordings.php

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Medium

Medium proper: air, liquids, solids

Boundaries: Walls, ceiling, floor, people in the audience, etc. affect the sound propagation by reflection and absorption

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Listener

Ear: Outer ear, middle ear, inner ear

♪ auditory nervous system, auditory cortex

The listener may be replaced by an recording device.

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Summary

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Characteristic attributes of musical sounds

Three primary sensations

♪ pitch

♪ loudness

♪ timbre

(volume)

(density or brightness)

A.Diederich – International University Bremen – USC – MMM – Spring 2005

Time elements in music

Musical message : time sequence of individual tones or tone superpositions

Example: melody

Attributes of meaningful musical messages:

Tonality: domination of a single tone in the sequence

Sense of return to the tonic

Modulation

Rhythm

A.Diederich – International University Bremen – USC – MMM – Spring 2005

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