Musical equations

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Contents 1 Musical Equations 1.1 Converting musical quantities to time 1.2 Converting sample tempo change to transposition from root 1.3 Grid links

[edit] Musical Equations

[edit] Converting musical quantities to time

120 bpm = 1 beats per second
1 bar = 2 beats
120 bpm = .5 bar per second
120 bpm = .5 Hz

frequency = tempo / 240 * (1/(note length))

frequency = .0041667*tempo*(1/(note length))

[edit] Converting sample tempo change to transposition from root

If you have a sample that plays at tempo 1, e.g 120bpm, and you want to sync it to tempo 2, e.g: 170bpm, without timestretching, you can calculate the number of semitones you must transpose the sample,n_s, as:

n_s = 12*log₂(tempo2/tempo1)

If your calculator does not have a log₂ key, you can also calculate it as:

n_s = 12*ln(tempo2/tempo1)/ln(2)

eg:

n_s = 12*log₂(170/120) = 6.03 semitones

[edit] Grid links

reese detuning sync to tempo workthru