Aren't you glad I own a Akai S-2000. From the manual...
Time Stretch Percentage Equations Transposition Formula
To transpose upwards: Multiply 1.0595 by itself for as many semitones and then multiply the result by 100.
Example: For 3 semitones - 1.0595 x 1.0595 x 1.0595 x 100 = 119%
To transpose downwards: Divide 100 by 1.0595 multiplied by as many semitones as is required.
Example: For 2 semitones - 100 /(1.0595 x 1.0595) = 89%
Time Stretch Percentage - Cents Transposition Table
(Pitch Up "+")-------------------------------
1) Semitone UP 106%
2) Semitones UP 112%
3) Semitones UP 119%
4) Semitones UP 126%
5) Semitones UP 133%
6) Semitones UP 141%
7) Semitones UP 150%

Semitones UP 159%
9) Semitones UP 168%
10) Semitones UP 178%
11) Semitones UP 188%
12) Semitones UP 200%
***********************
(Pitch Down "-")---------------
1) Semitone DOWN 94%
2) Semitones DOWN 89%
3) Semitones DOWN 84%
4) Semitones DOWN 79%
5) Semitones DOWN 75%
6) Semitones DOWN 71%
7) Semitones DOWN 67%

Semitones DOWN 63%
9) Semitones DOWN 60%
10) Semitones DOWN 56%
11) Semitones DOWN 53%
12) Semitones DOWN 50%
NOTE: You will have to adjust your samples to the actual key within you keygroup and sample editing fields. It is up to you to know that actual difference of the pitch and have a good ear.
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"Time in general..."
Time Stretch/Shrink Formula
New time divided by original time x 100
Examples: To calculate percentage for stretching 5 secs to 7 secs:
7 divided by 5 x 100 = 140%
To calculate percentage for stretching 18 secs to 25.5 secs:
18 divided by 25.5 x 100 = 141.6%
To calculate percentage for shrinking 36 secs to 29 secs:
29 divided by 36 x 100 = 80.5%
Note: Minutes need to be multiplied by 60 first:
eg 2 mins, 34 secs = (2 x 60) + 34 = 154
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"For Beat Loops"
BPM Stretch/Shrink Formula
Original tempo divided by new tempo x 100
Examples: To stretch 124 BPM to 135 BPM:
124 divided by 135 x 100 = 91.85%
To shrink 112 BPM to 105 BPM:
112 divided by 105 x 100 = 106.666%
NOTE: Say if you doing this in a program like Apple's Soundtrack Pro...
if the length of the sample is 103320 , then do these steps....
1) Find out the BPM of the beat sample.
sample rate * 1000 * 60 seconds * beats of sample (i.e.4 beats to the bar)
all divided by
the length of the sample
(44.1 * 1000 * 60 * 4) / 103320 = approx. 102.44
103 bpm after round-up
2) You want it to be 95 bpm, so...
103 / 95 = 1.08421052631579
3) Now, multiply the LENGTH of the sample by the result of the "Step Two". This will give you the stretch or shrink that you desire...
103320 * 1.08421052631579 = 112020.632578947
Of course you will have to tweak the sample before you use it. This will let you keep the original pitch of the sample, too. I hope that all of this has helped! Send me a link to a pic of an MPC-4000 with a skin the color of Chartreuse Yellow (hex code DFFF00) as payment! Peace
Mad Cherokee