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Math, Mind, and Music

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

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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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