: By how much do I need to change pitch after changing the tempo of a track? Let's say the song is at 122 bpm. And i want to decrease it by 10% to approximately 110 bpm. How much do I need to increase/decrease the pitch now

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12 * log2(newtempo / oldtempo) = pitch difference in semitones caused by the tempo change.

For example, tempo change from 122 to 110 lowers the pitch by about 1.79 semitones:

12 * log2(110/122) = -1.79253148845872...

Another example, tempo change from 122 to 244:

12 * log2(244/122) = +12.0

i.e. exactly one octave.

BPM is a unit of frequency, the same physical quantity as "pitch", just 60 times bigger numbers. 120 bpm = 2 Hz, two beats per second. 110 bpm = 1.833 Hz.

To reverse the pitch change caused by the tempo change, pitch-shift it by the same amount in the other direction.

However, any sort of musical audio editor usually has a pitch-preserving tempo change, and tempo-preserving pitch change mode.