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pitch_percentages_for_semitones_and_notes

# Relative pitch percentage & semitone note table

(This is useful if you're making a controller act similar to the Vestax Controller One.)

Note name Semitones Pitch percentage
A -12 = 1 octave -50%
Bb -11 -47.03%
B -10 -43.88%
C -9 -40.54%
Db -8 -37.00%
D -7 -33.26%
Eb -6 -29.29%
E -5 -25.08%
F -4 -20.63%
Gb -3 -15.91%
G -2 -10.91%
Ab -1 -5.61%
A - 440Hz 0 0.00%
A# 1 +5.95%
B 2 +12.25%
C 3 +18.92%
C# 4 +25.99%
D 5 +33.48%
D# 6 +41.42%
E 7 +49.83%
F 8 +58.74%
F# 9 +68.18%
G 10 +78.18%
G# 11 +88.77%
A 12 = 1 octave +100%

This was calculated using the following information. Since an octave doubles (or halves) the frequency and there are 12 equal steps (semitones), we can find that the frequency is multiplied (or divided) by a certain factor:

mfact = 12th root of 2 = 2^(1/12) = 1.0594631

So you get

 A 440Hz A# 440*1.059 = 466.2 Hz B 440*(1.059*1.059) = 493.9 Hz

etc..

45rpm is 36.36% faster than 33rpm

and

33rpm is 26.7% slower that 45rpm 