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问题描述

与我合作的一个视频处理软件供应商使用乘法器"27000"来完整描述视频的输入和输出点.我从来不知道为什么...

One video processing software vendor i work with uses the multiplicator "27000" to describe in and out points of videos in full numbers. I never got out why...

一个例子:我们要描述具有这些属性的视频的点[第一帧的结尾]

One example:We want to describe the point [end of the first frame] of a video that has got those properties

  • 每秒帧数:23.976
  • 每帧毫秒:41,70837504170838
  • fps分子/分母:24000/1001

我的问题是:什么使数字 27000 对视频具有魔力?或者我可以使用什么公式来计算它...将以下任意常见视频帧速率乘以该幻数后,我们总是得到一个不带逗号的值:

My question is: what makes the number 27000 magical for videos? Or what formula could i use to calculate it...When multiplying any of the following common video framerates with this magic number, we always get an a value without commas:

Outpoint =(1000/23,97602397602398)* 27000 = 1126125

Outpoint = (1000/23,97602397602398) * 27000 = 1126125

用语言表达:

Outpoint =(MillisecondsInASecond/MilliSecondsPerFrame)* 27000

Outpoint= (MillisecondsInASecond/MilliSecondsPerFrame) * 27000

以下是常见帧率的列表:

Here a list of common framerates:

推荐答案

这并不是魔术.这是关于常见的指示符... 27000只是前三个素数的立方的乘积...

It's not really magic. It's about common demoninators... 27000 is just the product of the cubes of the first three prime numbers ...

27000 = 2^3 * 3^3 * 5^3

也就是说,27000可以被一大堆数字平均整除...

That is, 27000 is evenly divisible by a whole slew of numbers...

 2
 3
 4  (=2*2)
 5
 6  (=2*3)
 8  (=2*2*2)
 9  (=3*3)
10  (=2*5)
12  (=2*2*3)
15  (=3*5)

(除数列表中尤其是素数... 7 11 13 ,...)

(notably absent from the list of divisors are primes... 7, 11, 13, ...)

因此27000是最常见帧速率的偶数倍:

So 27000 is an even multiple of the most common frame rates:

24   (=2*2*2*3)
25   (=5*5)
30   (=2*3*5)
50   (=2*5*5)
60   (=2*2*3*5)
120  (=2*2*2*3*5)


1001毫秒/24帧


1001 milliseconds / 24 frames

( 1001 / 24 ) * 27000

可以重构为

1001 * ( 27000 / 24 )

诀窍是27000( 2 ^ 3 * 3 ^ 3 * 5 ^ 3 )被24( 2 ^ 3 * 3 )整除>

the trick is that 27000 (2^3*3^3*5^3) is evenly divisible by 24 (2^3*3)

1001 * ( 2^3*3^3*5^3 ) / (2^3*3)

1001 * (3^2*5^3)


这个27000的技巧在怪异的帧速率下是行不通的.我认为没有人会每秒77帧(77 = 7 * 11)的帧速率.


This trick with 27000 wouldn't work with bizarre frame rates. I don't think anyone does a framerate of 77 frames per second (77=7*11).

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09-12 01:07