Mathematics and Music
Homework Assignment #3
Due Friday, February 9, START of Class
Music is the mediator between the spiritual and the sensual life.
Homework should be turned in at the BEGINNING OF CLASS.
You are certainly encouraged to work on assignments with other classmates,
although the solutions you turn in should be YOUR OWN WORK AND WRITING.
Please cite any references (web based or text) that you may have used for assistance with the assignment.
Note: Please list the names of any students or faculty you worked with
on the assignment.
Ludwig van Beethoven
- Listen to the CD Math and Music 2: Tonality and the Evolution of Polyphony, distributed in class on Feb. 5.
Liner notes for the CD are available here. You may be tested on some
of this music so be sure to read the liner notes and listen carefully. One approach to effectively absorbing
the music is to make brief notes about each piece, listing significant details as you listen.
- Read and complete the circled exercises 1 - 3, 5, 7, 8, 12 - 15 in Chapter 4 of The Music Kit, 2nd ed., Workbook,
Tom Manoff (handout from class on 2/2.) You are encouraged to play those exercises
asking to be played. It's important to hear the notes on the page.
- Read and complete the circled exercises 1, 3, 5 - 9, 11, 13 (part 2 and 4 only), 14, 15 in Chapter 5 of The Music Kit, 2nd ed.,
Workbook, Tom Manoff (handout from class on 2/2.) As with Chapter 4, you are encouraged to play (or sing!) those exercises asking to
be played. The music for the famous Ode to Joy (question #11, part 2) was distributed on 2/5.
- Notate all the intervals (major, minor, perfect, etc.) between successive notes in the first 8 bars of Dona nobis pacem
(Ch. 5, question #13, part 2.) You may do this on the Ch. 5 handout or if you would like more space, you
can copy it over onto your own staff paper.
List all the keys (eg. C major) in which the theme to Close Encounters of the Third Kind will be played
on only the white keys of the piano keyboard. For what keys, if any, can the theme be played only on
the black keys? Explain briefly how you arrived at your answers.