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THE MATH AND MUSIC COURSE
This spring, 2008, I am, as usual, teaching the course Mathematics 109/Music 109M, Mathematics & Music, a course I designed. It was first taught in the spring of 2002 (which was the first time such a course was offered at Washington University -
click
here
to download the flyer that was used to advertise the course).
The class meets MWF 1-2 in Life Sciences, Room 118. My grader and assistant for the course this year is Michael Deutsch, a graduate student in the Department of Mathematics. The syllabus can be seen by clicking here, or you can download the syllabus as a pdf file by clicking below. It gives a description of the course, homework policy, exam dates, and office hours. Other downloads will appear below as the semester progresses. These include handouts, course notes, homework, and exams.
Prospectus
for Math 109/Music 109M
Handouts:
Math 109/Music 109M Questionnaire
Entering notes from the synthesizer
Creating a digital sound file of your composition
Maple Leaf Rag (first section)
Moonlight Sonata
Beginning of Liebestraum (needed for Homework 6)
Information on the Project
Links:
Fourier Analysis Site #1
Fourier Analysis Site #2
Fourier Analysis Site #3
Current Course Notes:
Course Notes, Chapter I: Basic Mathematical and Musical Concepts
Course Notes, Chapter II: Horizontal Structure
Course Notes, Chapter III: Harmony and Related Numerology
Course Notes, Chapter IV: Ratios and Musical Intervals
Course Notes, Chapter V: Logarithms and Musical Intervals
Course Notes, Chapter VI: Chromatic Scales
Course Notes, Chapter VII: Octave Identification and Modular Arithmetic
Course Notes, Chapter VIII: Algebraic Properties of the Integers
Course Notes, Chapter IX: The Integers As Intervals
Course Notes, Chapter X: Timbre and Periodic Functions
Course Notes, Chapter XI: The Rational Numbers As Intervals
Course Notes, Chapter XII: Tuning the Scale to Obtain Rational Intervals
Homework:
Written Homework 1
Written Homework 2
Written Homework 3
Written Homework 4
Written Homework 5
Written Homework 6
Composition Homework 1
Composition Homework 2
Composition Homework 3
Homework Solutions:
Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Exams:
Exam 1
Exam 2
Exam 3
Final
Exam Solutions:
Exam 1 solutions
Exam 2 solutions
Exam 3 solutions
Final Exam solutions
Exams from 2007:
Exam 1
Exam 2
Exam 3
Final
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