[microsound] nogards infinity series

[Dan Friedman]

Infinity row is amazing. I've often been curious to know if anyone has
programmed it as a general term, i.e. given the starting cell and a
range of choices (pitch class or otherwise, it's just a selection
algorithm), can you calculate the Nth term of the series without
having to also calculate all the other terms between 0 and N-1? I can't
figure out a way...

Another thing, re. min and max: in the work of Martin Arnold, Allison Cameron and Stephen Parkinson (from whom I learned about the infinity
series), they just "fold" the series within one octave; or more
precisely, they just use it as a means of producing pitch-class
sequences (rather than pitch sequences), and then voice the melody whatever way the situation calls
for. So the min and max elements don't matter.

In any case, I have written 3 implementations of this generic approach: in perl,
SuperCollider, and as a csound unit generator. I used the perl
implementation in the writing of my piece "Hashed and Heaping"; I don't
call this aspect of the composition process out explicitly, but the
curious 
can download it for listening at
http://music.boywithmachine.net

Cheers
Dan

On Tue, Jan 12, 2010 at 08:42:55PM +0100, Jaime Munárriz Ortiz wrote:
> Coincidence, I just listened to a net-record 
> usindi this Nogard's Infinity Series, and I found 
> some nice resources:
> 
> http://www.pernoergaard.dk/eng/strukturer/uendelig/uindhold.html
> I managed to program a Processing sketch reading 
> this instructions
> He predicts the max & min will increase on time
> 
> And I also found this incredible repository of 
> Integer Sequences!
> http://www.research.att.com/~njas/sequences/A004718 
> <http://www.research.att.com/%7Enjas/sequences/A004718>
> 
> Now I can count + - sheep to sleep...
> 
> Oh, and new project, count on me too, Kim.
> 
> 
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