Musical Intervals in Cents

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Name of interval Frequency ratio (x) Cents
Unison 1:1 0
Minor second or semitone 1.059463:1 100
Semitone 16:15 111.731
Minor tone or lesser whole tone 10:9 182.404
Major second or whole tone 1.122462:1 200
Major tone or greater whole tone 9:8 203.910
Minor third 1.189207:1 300
Minor third 6:5 315.641
Major third 5:4 386.314
Major third 1.259921:1 400
Perfect fourth 4:3 498.045
Perfect fourth 1.334840:1 500
Augmented fourth 45:32 590.224
Augmented fourth 1.414214:1 600
Diminished fifth 1.414214:1 600
Diminished fifth 64:45 609.777
Perfect fifth 1.498307:1 700
Perfect fifth 3:2 701.955
Minor sixth 1.587401:1 800
Minor sixth 8:5 813.687
Major sixth 5:3 884.359
Major sixth 1.681793:1 900
Harmonic minor seventh 7:4 968.826
Grave minor seventh 16:9 996.091
Minor seventh 1.781797:1 1,000
Minor seventh 9:5 1,017.597
Major seventh 15:8 1,088.269
Major seventh 1.887749:1 1,100
Octave 2:1 1,200.000

Table 13: Intervals in Cents corresponding to certain frequency ratiosNote: Cents = [1200.log10(f1/f2)] / log10(2) and x = (f1 / f2) = 2 ^ (Cents/1200)