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Math, Mind, and Music

Dive into the links between music, physics, and psychology with Dr. Adele Diederich and Marcel Oliver. Explore musical sound characteristics, listener perception, and more. Course includes quizzes, projects, and possible excursions.

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Math, Mind, and Music

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  1. Math, Mind, and Music Where: Research II, Lecture Hall When: Tue 11:15 – 12:30 Fri 8:15 – 9:30

  2. Dr. Adele Diederich Professor of Psychology Research IV, Room 117 a.diederich@iu-bremen.de Phone: 3431 Marcel Oliver, PhD Professor of Mathematics Research I, Room 107 m.oliver@iu-bremen.de Phone: 3212

  3. 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)

  4. Music, Physics, Psychophysics, and Neuropychology: An Interdisciplinary Approach Reading: Roederer, Chapter 1

  5. 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 ?

  6. instrument ! air ! listener source ! medium ! receptor • The source emits. • The medium transmits. • The receptor detects, registers, or, in general, is affected in some specific way.

  7. 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

  8. Medium • Medium proper: air, liquids, solids • Boundaries: Walls, ceiling, floor, people in the audience, etc. affect the sound propagation by reflection and absorption

  9. Listener • Ear: Outer ear, middle ear, inner ear • auditory nervous system, auditory cortex • The listener may be replaced by an recording device.

  10. Summary

  11. Characteristic attributes of musical sounds • Three primary sensations • pitch • loudness • timbre • (volume) • (density or brightness)

  12. 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

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