Asked by Lizzie

For each pair of frequencies below, calculate the ratio of their frequencies as a simple fraction, then determine which pair has the higher dissonance.

a) 261.6 Hz and 392 Hz
b) 349.2 Hz and 392 Hz

I just don't know how to make these into simple fractions. Please help me
Answered by gucwin
261.6:392=2616:3920
and
2616=2*2*2*109 (109 is prime number)
3920=2*2*2*2*5*7*7
261.6:392=109/490 - as simple as possible

Is it helpfull?
Answered by Lizzie
It helps a little bit but, it doesn't look like one of the examples he gave us.

eg. 600 Hz and 400 Hz
and the ratio that is given is 3:2

I'm not sure how but i think it can be simlified even more.

eg. 800 Hz and 700 Hz
ratio is 8:7.
Answered by gucwin
109 is prime number, so it's impossible to simplify it more.
Answered by Lizzie
ok thanks :)
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