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finite number of 3 min trax
 

offline steve mcqueen from caerdydd (United Kingdom) on 2003-04-06 12:01 [#00635125]
Points: 6574 Status: Addict



ok so i'm shit at maths but i was just thinking,
if a 3 minute pop song is encoded on cd in 16bit samples at
44.1Khz,
then there are theoretically:
(44100 * (2**16))*(3*60)
different possible 3 minute cd tracks.
thats
260112384000
possible songs/sounds/whatever. Seems wrong. seems too few.
Even if my maths is wrong it's still Quite mind blowing to
think about the fact there is a finite number of cd
encodable sounds.


 

offline dariusgriffin from cool on 2003-04-06 12:06 [#00635132]
Points: 12433 Status: Regular



Yeah, I don't know if your calculation is right, but that's
an interesting point. I've never thought about it before.


 

offline roygbivcore from Joyrex.com, of course! on 2003-04-06 12:08 [#00635134]
Points: 22557 Status: Lurker



but there's also songs that are 3:01 or 2:59


 

offline steve mcqueen from caerdydd (United Kingdom) on 2003-04-06 12:09 [#00635136]
Points: 6574 Status: Addict



i've checked it and i think its right now


 

offline roygbivcore from Joyrex.com, of course! on 2003-04-06 12:15 [#00635146]
Points: 22557 Status: Lurker



all theory, no action ;)


 

offline steve mcqueen from caerdydd (United Kingdom) on 2003-04-06 13:04 [#00635240]
Points: 6574 Status: Addict



actually i got that wrong :)

its
((2**16) ** 44100)=1445068800 possible sounds in one second
so its
(1445068800**(3*60)) for one minute
and thats gonna be a fucking massive number.
still finite though ;)


 

offline OK on 2003-04-07 02:06 [#00636237]
Points: 4791 Status: Lurker



substract to that number all the posible 1 minute files
that are only noise


 

offline etched from charlotte (United States) on 2003-04-07 02:08 [#00636239]
Points: 429 Status: Regular



now ya givin me reason to try to expand on that by makin a
zillion 3 minute tracks


 

offline etched from charlotte (United States) on 2003-04-07 02:14 [#00636244]
Points: 429 Status: Regular



oh yeah....have you considered the # of ways those sounds
could be rearranged/EQd/FXd ?


 

offline martinhm from York (United Kingdom) on 2003-04-07 07:49 [#00636627]
Points: 1657 Status: Lurker



I don't think you need to consider the permutations of the
samples, which would be (3*60*44100)! - that exclamation
mark denotes factorial - since you are already considering
the fact that each sample could take any of the 2^16
possible values.

That would mean the number of possible 3-minute long sounds
(most of which would be noise) is 3*60*44100*65536 =
520224768000.

Feel free to say I'm wrong.


 

offline Q4Z2X on 2003-04-07 10:37 [#00636884]
Points: 5264 Status: Lurker



this reminds me of the idea of discovering a poem's
greatness by plotting it's attributes in the xy-plane.


 

offline steve mcqueen from caerdydd (United Kingdom) on 2003-04-07 11:08 [#00636947]
Points: 6574 Status: Addict



how exactly?


 

offline Anus_Presley on 2003-04-07 11:12 [#00636950]
Points: 23472 Status: Lurker



yeah :|


 

offline Anus_Presley on 2003-04-07 11:13 [#00636953]
Points: 23472 Status: Lurker | Followup to dariusgriffin: #00635132



would you have wanted to rreally?


 

offline Ganymede from Tlön, Uqbar, Orbis Tertius on 2003-04-07 13:59 [#00637219]
Points: 1045 Status: Lurker | Followup to martinhm: #00636627



Ok, maths geek here:

You were closer in your first calculation than in the later
one. Consider it this way. In each sampling period on a CD,
the sample can have one of 2^16 values. In the next sampling
period it can also have any one of those 2^16 values. So for
two consecutive sampling periods you can have (2^16)^2
different possibilities [=65536^2 or approximately 4.29 x
10^9]

In 3 minutes there are 7938000 sampling periods [44100*3*60]
so the total number of 3 minute tracks would be
65536^7938000. [which is a whole heck of a lot!, more than
520224768000]

The question I find more interesting is how many of these
tracks would even be distinguishable from one another, let
alone listenable.


 

offline Ceri JC from Jefferson City (United States) on 2003-04-07 14:56 [#00637308]
Points: 23533 Status: Moderator | Followup to Ganymede: #00637219 | Show recordbag



"The question I find more interesting is how many of these
tracks would even be distinguishable from one another, let
alone listenable."

Yes, think how many of those would share the same
bassline/break but with different vocals etc.

*hopes* some f***ers like Sony don't make a supercomputer to
generate all possible tracks under 6 mins and copyright them
thereby preventing anyone from getting royalties on new
music ;-(


 

offline Ganymede from Tlön, Uqbar, Orbis Tertius on 2003-04-07 15:13 [#00637326]
Points: 1045 Status: Lurker | Followup to Ceri JC: #00637308



"Yes, think how many of those would share the same
bassline/break but with different vocals etc."

I'm talking even more indistinguishable than that...e.g.
among those gazillions of tracks would be two that are
exactly alike except that the first sample in one would be
45000 and the first sample in the other would be 45001, for
instance. The human ear couldn't tell the difference...


"*hopes* some f***ers like Sony don't make a supercomputer
to
generate all possible tracks under 6 mins and copyright them

thereby preventing anyone from getting royalties on new
music ;-("

Not likely to happen, even supercomputers aren't fast enough
to generate them all in a reasonable amount of time. And I
don't think that they could copyright an algorithm to do so,
or else I could go and claim copyright on all written works
in English under 1 000 000 characters in length. After all I
can describe an algorithm to generate them...


 

offline Ceri JC from Jefferson City (United States) on 2003-04-07 15:27 [#00637338]
Points: 23533 Status: Moderator | Followup to Ganymede: #00637326 | Show recordbag



Sorry, I should of emphasised the "AND". I meant to say, as
well as all the ones that were indistinguishable due to only
have the odd bit here and there different, you would also
get a lot of remix type ones.

And my supercomputer thing was meant to be a bit of a joke,
the law tends to favour published material in copyright
cases...


 

offline Anus_Presley on 2003-04-08 12:19 [#00639106]
Points: 23472 Status: Lurker | Followup to Ganymede: #00637219



"maths geek here"

neverr werre 3 trruerr worrds typed.


 

offline Ganymede from Tlön, Uqbar, Orbis Tertius on 2003-04-08 12:35 [#00639138]
Points: 1045 Status: Lurker | Followup to Anus_Presley: #00639106



Yes, and your point is? :)

Ceri, yeah it's a good thing the law favors actual material
over potential material in the realm of copyright.


 

offline Anus_Presley on 2003-04-08 12:38 [#00639143]
Points: 23472 Status: Lurker | Followup to Ganymede: #00639138



that neverr werre 3 trruerr worrds typed


 


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