The following table provides frequency ratios for intervals up to an octave: ASCENDING INTERVAL : | DESCENDING INTERVALS : Interval Freqency ratio | Interval Frequency ratio ------- ------------ | ------ -------- unison 1 : 1 | unison 1 : 1 m2 1 : 1.059 | m2 1 : .943 M2 1 : 1.122 | M2 1 : .8909 m3 1 : 1.189 | m3 1 : .84 M3 1 : 1.26 | M3 1 : .7937 P4 1 : 1.334 | P4 1 : .749 aug4/dim5 1 : 1.4142 | aug4/dim5 1 : .707 P5 1 : 1.498 | P5 1 : .667 | m6 1 : 1.587 | m6 1 : .63 M6 1 : 1.682 | M6 1 : .595 | m7 1 : 1.7818 | m7 1 : .561 M7 1 : 1.887 | M7 1 : .530 Octave 1 : 2 | Octave 1 : .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 = .3745 ( .749/2 ) 2 octaves plus a minor 3rd down = .21 ( .84/4 )