Frequencies

Interval Ratios

DiadsFrequency ratioConsonance valueSensation of sound
Unison1:12Very consonant
Octave2:11.5Very consonant (“neutral”)
Fifth3:20.833Very consonant (“neutral”)
Forth4:30.583Consonant
Major sixth5:30.533Consonant (“major”)
Major third5:40.45Consonant (“major”)
minor third5:60.366Consonant (“minor”)
minor sixth5:80.325Consonant (“minor”)
Major second8:90.236Dissonant
Major seventh8:150.192Dissonant
minor seventh9:160.174Dissonant
minor second15:160.129Very dissonant
Tritonus32:450.053Very dissonant

Interval Ratios

DiadsFrequency ratioConsonance valueSensation of sound
Unison1:12Very consonant
minor second15:160.129Very dissonant
Major second8:90.236Dissonant
minor third5:60.366Consonant (“minor”)
Major third5:40.45Consonant (“major”)
Forth4:30.583Consonant
Tritonus32:450.053Very dissonant
Fifth3:20.833Very consonant (“neutral”)
minor sixth5:80.325Consonant (“minor”)
Major sixth5:30.533Consonant (“major”)
minor seventh9:160.174Dissonant
Major seventh8:150.192Dissonant
Octave2:11.5Very consonant (“neutral”)

Frequencies for equal-tempered scale

This table created using A4 = 440 Hz
Speed of sound = 345 m/s = 1130 ft/s = 770 miles/hr
(“Middle C” is C4 )

 NoteFrequency (Hz)Wavelength (cm)
C016.352100
C#0/Db017.321990
D018.351870
D#0/Eb019.451770
E020.601670
F021.831580
F#0/Gb023.121490
G024.501400
G#0/Ab025.961320
A027.501250
A#0/Bb029.141180
B030.871110
C132.701050
C#1/Db134.65996
D136.71940
D#1/Eb138.89887
E141.20837
F143.65790
F#1/Gb146.25746
G149.00704
G#1/Ab151.91665
A155.00627
A#1/Bb158.27592
B161.74559
C265.41527
C#2/Db269.30498
D273.42470
D#2/Eb277.78444
E282.41419
F287.31395
F#2/Gb292.50373
G298.00352
G#2/Ab2103.83332
A2110.00314
A#2/Bb2116.54296
B2123.47279
C3130.81264
C#3/Db3138.59249
D3146.83235
D#3/Eb3155.56222
E3164.81209
F3174.61198
F#3/Gb3185.00186
G3196.00176
G#3/Ab3207.65166
A3220.00157
A#3/Bb3233.08148
B3246.94140
C4261.63132
C#4/Db4277.18124
D4293.66117
D#4/Eb4311.13111
E4329.63105
F4349.2398.8
F#4/Gb4369.9993.2
G4392.0088.0
G#4/Ab4415.3083.1
A4440.0078.4
A#4/Bb4466.1674.0
B4493.8869.9
C5523.2565.9
C#5/Db5554.3762.2
D5587.3358.7
D#5/Eb5622.2555.4
E5659.2652.3
F5698.4649.4
F#5/Gb5739.9946.6
G5783.9944.0
G#5/Ab5830.6141.5
A5880.0039.2
A#5/Bb5932.3337.0
B5987.7734.9
C61046.5033.0
C#6/Db61108.7331.1
D61174.6629.4
D#6/Eb61244.5127.7
E61318.5126.2
F61396.9124.7
F#6/Gb61479.9823.3
G61567.9822.0
G#6/Ab61661.2220.8
A61760.0019.6
A#6/Bb61864.6618.5
B61975.5317.5
C72093.0016.5
C#7/Db72217.4615.6
D72349.3214.7
D#7/Eb72489.0213.9
E72637.0213.1
F72793.8312.3
F#7/Gb72959.9611.7
G73135.9611.0
G#7/Ab73322.4410.4
A73520.009.8
A#7/Bb73729.319.3
B73951.078.7
C84186.018.2
C#8/Db84434.927.8
D84698.647.3
D#8/Eb84978.036.9