为什么27000是用于视频点/帧描述的完整数字的魔幻数字 [英] Why is 27000 a magic number for video point/frame description in full numbers
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)
或
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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