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 Forum index » Clavia Nord Modular » G2 Building Blocks
More uncertainty
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ian-s



Joined: Apr 01, 2004
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PostPosted: Tue Jun 14, 2005 4:58 am    Post subject: More uncertainty Reply with quote  Mark this post and the followings unread

Here is a duplicate of another source of uncertainty section, 64 Levels.
It is based around a CMOS IC 4006 which is an 18 stage shift register organised as 4x4 stages + 2x1 stage. The Status module and flip flop just ensure that a 1 is present to start the sequence. Two of the stages are XORed and fed back. Six binary weighted taps produce the 64 level output. I’ve tried to duplicate exactly but I don’t have a Buchla system to verify Crying or Very sad . Produces computer game type noise at audio clock rates.

Offers nothing over the built in clocked random generators really, but might be of interest to someone.


64LEV.pch2
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subsection of buchla source of uncertainty, 64 levels

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mosc
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PostPosted: Tue Jun 14, 2005 7:22 am    Post subject: Reply with quote  Mark this post and the followings unread

Assuming you had one of the Buchla modules, how would you verify that your patch was equivalent?
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ian-s



Joined: Apr 01, 2004
Posts: 2575
Location: Auckland, New Zealand
Audio files: 42
G2 patch files: 608

PostPosted: Tue Jun 14, 2005 12:09 pm    Post subject: Reply with quote  Mark this post and the followings unread

mosc wrote:
Assuming you had one of the Buchla modules, how would you verify that your patch was equivalent?


The 4006 with hard wired feedback and a known initial state will always produce the same set of voltages so it is pseudorandom, not really uncertain at all. If I have the feedback correct, and the flip flop feeds a 1 into the input after power up till reset by the 5th stage, the hardware and model should produce the same notes if clocked at the same time. The audio rate tone should also be the same if clocked at the same rate.
I am not sure how long the sequence is, with only two bits in the fb it may not be optimal length. This probably has more historical value than practical use.
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jamos



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PostPosted: Tue Jun 14, 2005 1:04 pm    Post subject: Reply with quote  Mark this post and the followings unread

This is actually another classical illustration of chaos theory: that is, a simple operation that yields extremely complex results that appear to be random, but are actually deterministic.

In fact, all "random" process on computers are actually just forms of chaos.
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mosc
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PostPosted: Tue Jun 14, 2005 8:28 pm    Post subject: Reply with quote  Mark this post and the followings unread

I'm not hip to the math of chaos and random number, but to me there is at least a subjective difference - at least to my limited understanding. In a random, or pseudorandom, signal there are no quasi-periodic parts. In choas, there are times when it seems like there is an oscillation or periodic type of signal. Then this blows up but is can eventually settle into another quasi periodic phase. My limited understanding is that the chaos functions jumps from one semi-stable state to another.

I read a math professor state somewhere that the orbits of the planets represent a chaotic system. I thought he said that because of very small changes, it's not possible to predict the state of the solar system in the very distant future (whatever that means). I guess the butterfly effect might cause something really dramatic to happen, like Jupiter sucking in Mars or something, especially if Mars got wacked by a big comet in just the right way.

Anyway, chaos and random aren't really the same thing.

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