Frequencies

Interval Ratios

Diads Frequency ratio Consonance value Sensation of sound
Unison 1:1 2 Very consonant
Octave 2:1 1.5 Very consonant (“neutral”)
Fifth 3:2 0.833 Very consonant (“neutral”)
Forth 4:3 0.583 Consonant
Major sixth 5:3 0.533 Consonant (“major”)
Major third 5:4 0.45 Consonant (“major”)
minor third 5:6 0.366 Consonant (“minor”)
minor sixth 5:8 0.325 Consonant (“minor”)
Major second 8:9 0.236 Dissonant
Major seventh 8:15 0.192 Dissonant
minor seventh 9:16 0.174 Dissonant
minor second 15:16 0.129 Very dissonant
Tritonus 32:45 0.053 Very dissonant

Interval Ratios

Diads Frequency ratio Consonance value Sensation of sound
Unison 1:1 2 Very consonant
minor second 15:16 0.129 Very dissonant
Major second 8:9 0.236 Dissonant
minor third 5:6 0.366 Consonant (“minor”)
Major third 5:4 0.45 Consonant (“major”)
Forth 4:3 0.583 Consonant
Tritonus 32:45 0.053 Very dissonant
Fifth 3:2 0.833 Very consonant (“neutral”)
minor sixth 5:8 0.325 Consonant (“minor”)
Major sixth 5:3 0.533 Consonant (“major”)
minor seventh 9:16 0.174 Dissonant
Major seventh 8:15 0.192 Dissonant
Octave 2:1 1.5 Very 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 )

 Note Frequency (Hz) Wavelength (cm)
C0 16.35 2100
C#0/Db0 17.32 1990
D0 18.35 1870
D#0/Eb0 19.45 1770
E0 20.60 1670
F0 21.83 1580
F#0/Gb0 23.12 1490
G0 24.50 1400
G#0/Ab0 25.96 1320
A0 27.50 1250
A#0/Bb0 29.14 1180
B0 30.87 1110
C1 32.70 1050
C#1/Db1 34.65 996
D1 36.71 940
D#1/Eb1 38.89 887
E1 41.20 837
F1 43.65 790
F#1/Gb1 46.25 746
G1 49.00 704
G#1/Ab1 51.91 665
A1 55.00 627
A#1/Bb1 58.27 592
B1 61.74 559
C2 65.41 527
C#2/Db2 69.30 498
D2 73.42 470
D#2/Eb2 77.78 444
E2 82.41 419
F2 87.31 395
F#2/Gb2 92.50 373
G2 98.00 352
G#2/Ab2 103.83 332
A2 110.00 314
A#2/Bb2 116.54 296
B2 123.47 279
C3 130.81 264
C#3/Db3 138.59 249
D3 146.83 235
D#3/Eb3 155.56 222
E3 164.81 209
F3 174.61 198
F#3/Gb3 185.00 186
G3 196.00 176
G#3/Ab3 207.65 166
A3 220.00 157
A#3/Bb3 233.08 148
B3 246.94 140
C4 261.63 132
C#4/Db4 277.18 124
D4 293.66 117
D#4/Eb4 311.13 111
E4 329.63 105
F4 349.23 98.8
F#4/Gb4 369.99 93.2
G4 392.00 88.0
G#4/Ab4 415.30 83.1
A4 440.00 78.4
A#4/Bb4 466.16 74.0
B4 493.88 69.9
C5 523.25 65.9
C#5/Db5 554.37 62.2
D5 587.33 58.7
D#5/Eb5 622.25 55.4
E5 659.26 52.3
F5 698.46 49.4
F#5/Gb5 739.99 46.6
G5 783.99 44.0
G#5/Ab5 830.61 41.5
A5 880.00 39.2
A#5/Bb5 932.33 37.0
B5 987.77 34.9
C6 1046.50 33.0
C#6/Db6 1108.73 31.1
D6 1174.66 29.4
D#6/Eb6 1244.51 27.7
E6 1318.51 26.2
F6 1396.91 24.7
F#6/Gb6 1479.98 23.3
G6 1567.98 22.0
G#6/Ab6 1661.22 20.8
A6 1760.00 19.6
A#6/Bb6 1864.66 18.5
B6 1975.53 17.5
C7 2093.00 16.5
C#7/Db7 2217.46 15.6
D7 2349.32 14.7
D#7/Eb7 2489.02 13.9
E7 2637.02 13.1
F7 2793.83 12.3
F#7/Gb7 2959.96 11.7
G7 3135.96 11.0
G#7/Ab7 3322.44 10.4
A7 3520.00 9.8
A#7/Bb7 3729.31 9.3
B7 3951.07 8.7
C8 4186.01 8.2
C#8/Db8 4434.92 7.8
D8 4698.64 7.3
D#8/Eb8 4978.03 6.9
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