Topic: The overtone series

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Posted at November 25, 2016, 1:49 pm:

Can someone point out where I've gone wrong.

Here are the facts I am using:An octave above has exactly double the frequency.An octave below has exactly half the frequency.Moving up a perfect 5th is 3/2 times frequency.
Alright, so I was just doing some calculations using these facts to find the corresponding frequency coefficients of each interval.

So if we take C, and just say the frequency is f.

Moving up a perfect 5th gives G (5th) = (3/2)*f
Another perfect 5th gives D (9th) = (3/2)^2 * f
So on...
A (13th) = (3/2)^3 * f
E (17th) = (3/2)^4 * f
B (21st) = (3/2)^5 * f
F# (25th) ...
C# (29th)
G# (33rd)
D# (37th)
A# (41st)
F (45th)
C (49th) = (3/2)^12 * f

This C is seven octaves above the initial C and thus should be 2^7 = 128 times f.

But it is 129.75 times f according to what I've done here (!)

Someone care to explain?, or point out what I've done wrong.

Original of the message was taken from http://www.sputnikmusic.com/forums/

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