Math 105

Math 105: Music & Mathematics
Homework Assignments

Last update: 11/29/16

All assignments are listed by date by which the assignment should be completed (or at least attempted, in the case of practice problems).

Collected assignments will be highlighted in bold font. These are due at the beginning of class on the date indicated.

(Sets of recommended exercises will be posted on the "Notes" section of the web page.)

Completion Date	Assignment
Wednesday 8/31:	Read pp. 1-13 and 19-20 of the text. (pp. 14-18 are optional)
Friday 9/2	Read pp. 20-25 of the text ("I'll Take the High Road..." Read Introduction to Pythagorean Tuning Try the Pythagorean tuning practice problems (to be discussed as needed, but not collected). The "Circle of Fifths" handout may come in handy
Wed. 9/7	Read pp. 25-27 ("A Just Song at Twilight")
Fri. 9/9	Collected HW #1 - Pythagorean Tuning - due at beginning of class Read Intro to Just Intonation Read Just Intonation Interval Table Try the Just Intonation practice problems (to be discussed as needed, but not collected)
Wed. 9/14	Collected HW #2 - Just Intonation - due at beginning of class Read pp. 27-32 in the text (on equal temperament) Read Introduction to Equal Temperament Read Exponents and Logarithms Review
Fri.. 9/23	Collected HW #3 - Rational Approximation - due at beginning of class Read Rational Approximation & Continued Fractions Work through most (or all) of the many sets of practice exercises on tuning systems by Fri. (will discuss in class on Fri 9/23 and/or Mon 9/26 as review for test on 9/27)
Tues. 10/4	Read pp. 33-40
Wed. 10/5	Variations Practice Exercise Set I (pdf) Read pp. 41-45
Fri. 10/7	Collected HW #4 (pdf) Read pp. 46-48
Mon. 10/10	Variations Practice Exercise Set II and Set III Read Introduction to Modular Arithmetic handout
Tue. 10/11	Read Introduction to "Groups" handout Modular Arithmetic Practice Exercises
Wed. 10/12	Collected HW #5 (modular arithmetic tables)
Fri. 10/14	Variations and Groups - Practice Exercise Set 1
Tue. 10/18	Collected HW #6 (30-tone variations)
Wed. 10/19	Cosets Practice Exercises I
Wed. 11/2	Permutations Practice Exercises (page 1)
Fri. 11/4	Collected Homework #7 Permutations Practice Exercises (page 2)
Fri. 11/11	Collected Homework #8 Counting Problem Practice Exercises (page 1)
Fri. 11/18	Counting Problem Practice Exercises (page 2)
Mon. 11/21	Collected Homework #9
Fri. 12/2	Sequences Practice Exercises
Mon. 12/5	Collected Homework #10

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