1. A.Diederich – International University Bremen – USC – MMM – Spring 2005 Math, Mind, and Music Where: Research II, Lecture Hall When: Tue 11:15 – 12:30 Fri 8:15 – 9:30

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

4. A.Diederich – International University Bremen – USC – MMM – Spring 2005 Music, Physics, Psychophysics, and Neuropychology: An Interdisciplinary Approach Reading: Roederer, Chapter 1

5. 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 ?

6. 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 detects, registers, or, in general, is affected in some specific way.

7. 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

8. 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

9. 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.

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

11. A.Diederich – International University Bremen – USC – MMM – Spring 2005 Characteristic attributes of musical sounds ♪Three primary sensations ♪pitch ♪loudness ♪timbre ♪(volume) ♪(density or brightness)

12. 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