SOLUTION: Musical Frequencies The frequencies of musical notes (measured in cycles per second) form a geometric sequence. Middle C has a frequency of 256, and the C that is an octave hig

Algebra ->  Sequences-and-series -> SOLUTION: Musical Frequencies The frequencies of musical notes (measured in cycles per second) form a geometric sequence. Middle C has a frequency of 256, and the C that is an octave hig      Log On


   

Question 1190152: Musical Frequencies
The frequencies of musical notes
(measured in cycles per second) form a geometric sequence.
Middle C has a frequency of 256, and the C that is an octave
higher has a frequency of 512. Find the frequency of C two
octaves below middle C.
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The jump from 256 Hz to 512 Hz is "times 2". This is the common ratio.

To go backwards, we divide by 2 when stepping down from one octave to the previous one.

256 cuts in half to 128
128 cuts in half to 64

Answer: 64 Hz

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Divide  256  by  4 = 2%5E2.