Physics of Sound 301
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
- Calculate the first three resonances of closed tubes having lengths of
67 cm (clarinet) and 275 cm (trombone).