ComfortableInClouds

Given the ratio of speed for the playback of a sample, how can you convert that ratio to a musical interval? For example, given a ratio of 0.5, the sample is transposed 12 semitones(since it would have to be an octave higher if playing at half its original speed), or -12 semitones for playback ratio of 2? I feel like it has to deal with exponentials but know, unfortunately, very little of math.

formula-for-converting-speed-ratio-to-intervals

From transposition to speed has been covered a number of times overhere, the other way around is, well, the other way around:

Formula for Converting Speed Ratio to Intervals?