Just thought I understood exponentials!!
An orchestra tunes to a frequency of 440, which sounds the A above middle C. Each octave higher doubles the frequency, and each of the 12 semitones in the octave increases the frequency in the same ration.

(a) What's the ratio?
(b) Find the frequency of the middle C.
(c) Where on the scale is a note with a frequency of 600?

Question

Just thought I understood exponentials!!
An orchestra tunes to a frequency of 440, which sounds the A above middle C. Each octave higher doubles the frequency, and each of the 12 semitones in the octave increases the frequency in the same ration.

(a) What's the ratio?
(b) Find the frequency of the middle C.
(c) Where on the scale is a note with a frequency of 600?

anonymous · Answer

jeez this is annoying

anonymous · Answer

I agree.

anonymous · Answer

oh no scratch that!

anonymous · Answer

Apparently not... It's 1.059

anonymous · Answer

right my mistake put the ratio as "r" then 
$$r^{12}=2$$

anonymous · Answer

and therefore 
$$r=\sqrt[12]{2}$$ whatever that is

anonymous · Answer

Yes, that makes sense.

anonymous · Answer

It's the answer.

anonymous · Answer

oh good. lost on middle C though. sorry

anonymous · Answer

wow thank god for the internet, check this out http://in.answers.yahoo.com/question/index?qid=20110519083621AAwVvDp

anonymous · Answer

Sorry, my internet left me! I'll check the site. Thanks

anonymous · Answer

It's not very helpful... There you have to differentiate, and with mine, you don't, because that's in the next chapter... and I haven't gone that far... If there's a simpler way, I'd really like to know :)