Beat Matching on CDJs BPM Matching % (Pitch Fader) aka Bpm time stretch Calculation for beat mixing

Of course every Dj should just learn how to just beat-match by ear and feel out the pitch fader when using CDJS. 

However, i often get asked whats the exact math is there an equation or formula to go by?  So for the most nerdy djs out there this post is for you. Plus some simpler formulas for the less math oriented djs out there as well.

In fact there is a few mathematical equations you can go by if you want to be technical about the pitch fader percentage values for beat matching. 


Formula 1 :  

So for pitch increases it's: -

(A-B) / A x 100

[ (128 - 129) / 128 ] x 100

0.78   (rounded for cdjs)

And for pitch decreases it's: -

(A-B) / B x 100

[ (128 - 127) / 127 ] x 100

- 0.79    (rounded for cdjs)


* tip its easier to think of this equation as small numbers in tempo difference in the first place rather than subtracting big numbers*

For example just think o 128 to 129 as 1 bpm difference in the first place. The same goes for from 128 to 127.
Also any value x 100 just moves the decimal place over 2 places no matter what number. So that is always a given.) 

so when going up 1 tempo from 128

1 / 128 =  .0078
.0078  = .78 %

When going up 3 Tempo from 128

3 / 128

2.34

when going down 1 tempo from 128

1 / 127 =  .79

When goin down 3 tempo from 128

1 / 125 =  2.42

So Formula for going up in tempo

Tempo difference / Old Tempo

Formula for going down in tempo

Tempo Difference / New Tempo


Or just use one of these web sites

http://www.mikemackay.co.uk/playground/dj-pitch-calculator/

http://musiccalculator.com/#time-stretch-bpm

http://legalize.org.il/asp/bpm.htm


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