Documentation

Notes, Wavelength, and Frequency

Note Octave Frequency (Hz) Wavelength (M)* Comment
C 0 16.351 20.812m
C# / Db 0 17.324 19.643m
D 0 18.354 18.540m
D# / Eb 0 19.445 17.500m
E 0 20.601 16.518m
F 0 21.827 15.590m
F# / Gb 0 23.124 14.716m
G 0 24.499 13.890m
G# / Ab 0 25.956 13.110m
A 0 27.5 12.374m Lowest Note of Piano
A# / Bb 0 29.135 11.680m
B 0 30.868 11.024m
C 1 32.703 10.405m
C# / Db 1 34.648 9.821m
D 1 36.708 9.270m
D# / Eb 1 38.891 8.750m
E 1 41.203 8.259m Lowest Note of Bass
F 1 43.654 7.795m
F# / Gb 1 46.249 7.358m
G 1 48.999 6.945m
G# / Ab 1 51.913 6.555m
A 1 55 6.187m
A# / Bb 1 58.27 5.840m
B 1 61.735 5.512m
C 2 65.406 5.203m
C# / Db 2 69.296 4.911m
D 2 73.416 4.635m
D# / Eb 2 77.782 4.375m
E 2 82.407 4.129m Lowest Note of Guitar
F 2 87.307 3.898m
F# / Gb 2 92.499 3.679m
G 2 97.999 3.472m
G# / Ab 2 103.826 3.278m
A 2 110 3.094m
A# / Bb 2 116.541 2.920m
B 2 123.471 2.756m
C 3 130.813 2.601m
C# / Db 3 138.591 2.455m
D 3 146.832 2.318m
D# / Eb 3 155.563 2.187m
E 3 164.814 2.065m
F 3 174.614 1.949m
F# / Gb 3 184.997 1.839m
G 3 195.998 1.736m Lowest note of violin
G# / Ab 3 207.652 1.639m
A 3 220 1.547m
A# / Bb 3 233.082 1.460m
B 3 246.942 1.378m
C 4 261.626 1.301m Middle C
C# / Db 4 277.183 1.228m
D 4 293.665 1.159m
D# / Eb 4 311.127 1.094m
E 4 329.628 1.032m
F 4 349.228 0.974m
F# / Gb 4 369.994 0.920m
G 4 391.995 0.868m
G# / Ab 4 415.305 0.819m
A 4 440 0.773m Tuning reference note
A# / Bb 4 466.164 0.730m
B 4 493.883 0.689m
C 5 523.251 0.650m
C# / Db 5 554.365 0.614m
D 5 587.33 0.579m
D# / Eb 5 622.254 0.547m
E 5 659.255 0.516m
F 5 698.456 0.487m
F# / Gb 5 739.989 0.460m
G 5 783.991 0.434m
G# / Ab 5 830.609 0.410m
A 5 880 0.387m
A# / Bb 5 932.328 0.365m
B 5 987.767 0.345m
C 6 1046.502 0.325m
C# / Db 6 1108.731 0.307m
D 6 1174.659 0.290m
D# / Eb 6 1244.508 0.273m
E 6 1318.51 0.258m
F 6 1396.913 0.244m
F# / Gb 6 1479.978 0.230m
G 6 1567.982 0.217m
G# / Ab 6 1661.219 0.205m
A 6 1760 0.193m
A# / Bb 6 1864.655 0.182m
B 6 1975.533 0.172m
C 7 2093.005 0.163m
C# / Db 7 2217.461 0.153m
D 7 2349.318 0.145m
D# / Eb 7 2489.016 0.137m
E 7 2637.021 0.129m
F 7 2793.826 0.122m
F# / Gb 7 2959.955 0.115m
G 7 3135.964 0.109m
G# / Ab 7 3322.438 0.102m
A 7 3520 0.097m
A# / Bb 7 3729.31 0.091m
B 7 3951.066 0.086m
C 8 4186.009 0.081m
C# / Db 8 4434.922 0.077m
D 8 4698.636 0.072m
D# / Eb 8 4978.032 0.068m
E 8 5274.042 0.065m
F 8 5587.652 0.061m
F# / Gb 8 5919.91 0.057m
G 8 6271.928 0.054m
G# / Ab 8 6644.876 0.051m
A 8 7040 0.048m
A# / Bb 8 7458.62 0.046m
B 8 7902.132 0.043m
C 9 8372.018 0.041m
C# / Db 9 8869.844 0.038m
D 9 9397.272 0.036m
D# / Eb 9 9956.064 0.034m
E 9 10548.084 0.032m
F 9 11175.304 0.030m
F# / Gb 9 11839.82 0.029m
G 9 12543.856 0.027m
G# / Ab 9 13289.752 0.026m
A 9 14080 0.024m
A# / Bb 9 14917.24 0.023m
B 9 15804.264 0.022m

Pitch ratios

Ascending Intervals Descending Intervals
Interval Frequency Ratio Interval Frequency Ratio
unison 1 : 1 unison 1 : 1
m2 1 : 1.059 minor 2nd 1 : 0.943
M2 1 : 1.122 Major 2nd 1 : 0.8909
m3 1 : 1.189 minor 3rd 1 : 0.84
M3 1 : 1.26 Major 3rd 1 : 0.7937
P4 1 : 1.334 Perfect 4th 1 : 0.749
aug4/dim5 1 : 1.4142 augm 4th/dim 5th 1 : 0.707
P5 1 : 1.498 Perfect 5th 1 : 0.667
m6 1 : 1.587 minor 6th 1 : 0.63
M6 1 : 1.682 Major 6th 1 : 0.595
m7 1 : 1.7818 minor 7th 1 : 0.561
M7 1 : 1.887 Major 7th 1 : 0.530
Octave 1 : 2 Octave 1 : 0.5

 

For ascending intervals greater than an octave, multiply the INTEGER portion
of the Frequency ratio by 2 for each successive octave (1, 2, 4, 8, etc.)

Examples:

– a minor tenth up = 2.189
– 2 octaves + a tritone up = 4.4142

For descending intervals greater than an octave, divide the Freq. ratio by
2 (if between 1 and 2 octaves), by 4 (if between 2 & 3 octaves), and so on.

Examples:

– an octave plus a perfect 4th down = 0.3745 ( 0.749/2 )
– 2 octaves plus a minor 3rd down = 0.21 ( 0.84/4 )

Skip to toolbar