Spring 2005

__HOMEWORK ASSIGNMENT #8 Due Friday April 1, 2005__

RMW refers to the textbook *The Science of Sound, 3rd
Edition,* by T.D. Rossing, F.R. Moore, & P.A. Wheeler

- RMW, page 190, exercises 4, 6, and 8.
- In class we determined the frequencies of the first seven notes, the diatonic scale, assuming Pythagorean temperament, which gave the following frequencies relative to the tonic: 1, 9/8, 81/64, 4/3, 3/2, 27/16, 243/128, 2. Determine the frequencies of the remaining 5 tones of the chromatic scale, also assuming Pythagorean temperament by going up in frequency by fifths. Place these tones in order with the original seven notes and calculate the intervals between all 12 tones. Would you get the same values if you were to go down in frequency by fourths?
- Calculate the first three resonances of closed tubes having lengths of 67 cm (clarinet) and 275 cm (trombone).

Please send any comments to Jack Hughes, jph@physics.rutgers.edu.

Revised March 29, 2005