The Tempo Gap Analysis

[zergpower314]

I'm pretty sure 10000-10001 (very minute gap though, so probably not one), 15000-15001, and 20000-20001 are tempo gaps. There are not any significant enough to be between 20001-30000 (not that anyone would go that high anyways '>_>)

Jul 27, 2009 13:44:17 GMT -6 phazonelite said:

I could help with the recording, as I don't even know my tempo limits yet, lol.

If you don't mind waiting for forever, then yes, you can help record.

[buckyboy2009]

Hey, I think I found one at 1395. Can anyone else confirm this?

[RehdBlob]

I think I found... not really a tempo 'gap' per se, but a tempo 'transition' from 832 to 833 to 834. Each difference of 1 makes more difference in tempo than any other tempo 'change' in the regions close to this.

[Moo]

I seem to have found the same breaking point as JF there, 8572.
This list really needs to be updated.

[RehdBlob]

It has been updated with lots of new BP's and a revision to the 2308 gap; the BP is actually at 2223.

[Colin Comard (Delay)]

I'll tell you this: The tempo gap is NOT 8752.

At least, I'm quite certain. It's kinda hard to tell sometimes. (like it's only a teeny bit slower at 8700 than 8752, or I could be imagining it.)

[lih]

Jan 2, 2010 17:54:31 GMT -6 RehdBlob said:

It has been updated with lots of new BP's and a revision to the 2308 gap; the BP is actually at 2223.

2223 would be a new tempo gap then

2308 is quite a bit faster than 2307

[RehdBlob]

Ok, fixed yet again.

[Jeffburtonfan]

I think you guys should check out 8571 and 8572. That seems to be another tempo gap

[nolimits]

This is a really helpful thread that I just found

[That One User]

Umm...

Either 882 is in a tempo gap or the 3530 BP is wrong.

[MrTanookiMario]

Hey, I think I found a tempo gap not shown in the OP's post.
It's at the 1176-1177 border. The lower end goes down to at least ~1154.

[vengeance]

5000/5001 is a tempo gap

[RehdBlob]

^ That's already been documented on the first page.

[tommy73]

Just discovered a new tempo gap. 1395/1396. There doesn't seem like a difference between 1429 and 1396 so yeah.

[satoriga]

nice work on this.
hate gaps =(

[RehdBlob]

I have discovered the origin of tempo gaps:

set SongTempo = integer(SongTempo)
set SongTempo = 60000 / SongTempo

Because MPC decides its tempo by dividing 60000 by whatever you enter as a number for the tempo, and then truncating / rounding / doing something to the number, this causes the program to actually change the resultant tempo only when the division actually produces a different number.

For example:
60000 / 2222 = 27.00270027 => truncated to 27
60000 / 2223 = 26.9905533 => truncated to 26
=> 2223 is a tempo gap.

60000 / 2726 = 22.01027 => truncated to 22
60000 / 2727 = 22.00220022 => truncated to 22
60000 / 2728 = 21.99413489736 => truncated to 21
=> 2728 is a tempo gap.

Using this rationale, we can find all of the tempo gaps of MPC...

[lih]

249 250
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429 431
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435 437
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452 454
455 458
459 461
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466 468
469 472
473 476
477 480
481 483
484 487
488 491
492 495
496 500
501 504
505 508
509 512
513 517
518 521
522 526
527 530
531 535
536 540
541 545
546 550
551 555
556 560
561 566
567 571
572 576
577 582
583 588
589 594
595 600
601 606
607 612
613 618
619 625
626 631
632 638
639 645
646 652
653 659
660 666
667 674
675 681
682 689
690 697
698 705
706 714
715 722
723 731
732 740
741 750
751 759
760 769
770 779
780 789
790 800
801 810
811 821
822 833
834 845
846 857
858 869
870 882
883 895
896 909
910 923
924 937
938 952
953 967
968 983
984 1000
1001 1016
1017 1034
1035 1052
1053 1071
1072 1090
1091 1111
1112 1132
1133 1153
1154 1176
1177 1200
1201 1224
1225 1250
1251 1276
1277 1304
1305 1333
1334 1363
1364 1395
1396 1428
1429 1463
1464 1500
1501 1538
1539 1578
1579 1621
1622 1666
1667 1714
1715 1764
1765 1818
1819 1875
1876 1935
1936 2000
2001 2068
2069 2142
2143 2222
2223 2307
2308 2400
2401 2500
2501 2608
2609 2727
2728 2857
2858 3000
3001 3157
3158 3333
3334 3529
3530 3750
3751 4000
4001 4285
4286 4615
4616 5000
5001 5454
5455 6000
6001 6666
6667 7500
7501 8571
8572 10000
10001 12000
12001 15000
15001 20000
20001 30000
30001 60000

every tempo gap using rehd's maths (unless there's an insignificantly small one earlier i missed) i couldn't be bothered to take out the ones that weren't gaps

[Mr. Sub]

For example:
60000 / 2222 = 27.00270027 => truncated to 27
60000 / 2223 = 26.9905533 => truncated to 26
=> 2223 is a tempo gap.

Interesting to see a lack of a basic (and logical) rounding up system, rounding 26.99 to 26, that explains it!

[tommy73]

Aug 27, 2013 18:50:37 GMT -6 Mr. Sub said:

Aug 25, 2013 21:32:32 GMT -6 RehdBlob said:

I have discovered the origin of tempo gaps:

For example:
60000 / 2222 = 27.00270027 => truncated to 27
60000 / 2223 = 26.9905533 => truncated to 26
=> 2223 is a tempo gap.

Interesting to see a lack of a basic (and logical) rounding up system, rounding 26.99 to 26, that explains it!

Because it's truncating and not rounding? It's right in Rehd's message.