In the 12-interval chromatic scale, 12 semitones are distributed equally over the octave as a power of 2^(12).
Symbol for Note |
Ratio of Frequency, as Power of 2^(1/12) |
Ratio of Frequency |
C |
0 |
1.00 |
C sharp, D flat |
1 |
1.05946 |
D |
2 |
1.12246 |
D sharp, E flat |
3 |
1.18921 |
E, F flat |
4 |
1.25992 |
F, E sharp |
5 |
1.33484 |
F sharp, G flat |
6 |
1.41421 |
G |
7 |
1.49831 |
A flat, G sharp |
8 |
1.58740 |
A |
9 |
1.68179 |
B flat, A sharp |
10 |
1.78180 |
B, C' flat |
11 |
1.88775 |
C', B sharp |
12 |
2.00 |
Octave |
Power of 2 |
Value for C in cps |
subcontra |
0 |
16.35 |
contra |
1 (2) |
32.70 |
great |
2 (4) |
65.41 |
small |
3 (8) |
130.81 |
1 line |
4 (16) |
261.83 |
2 line |
5 (32) |
523.25 |
3 line |
6 (64) |
1046.50 |
4 line |
7 (128) |
2093.00 |
Based on note "A" of the one-line octave = 440.0 cycles per second (cps)
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