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stein 13:24:56
can anyone help me understand lie algebraic generators of rythms?
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stein 13:25:39
i wanted eigen-rythems, but this is as close as i could get
im from physics, so im not used to working with generators on discontinuous spaces
i guess you can use copying and juxtaposition as like, elementary opperations
genetic style recombination and mutation
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stein 13:28:03
for example. so with a library of transfer opperations, some nearby reachable space, and this "genetic algorithm" or whatever, is then going to be your lie algebraic generator
idk about lie algebraic genetic opperator sets tho
i guess you could have like precise note repositioning aswell
you could generate a distance metric?
(just trying to think what to do with it)
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stein 13:30:44
i guess you want to be able to at least compare two different opperation sets ability to cover nearby within a reasonably short distance
or like, if you give it a bunch of random opperations, that it can still cover, but one could compare to another
so some kind of nearby density integral
"its locally covering very densly ya!"
serching then for either good expressive opperator sets, or if there is sparsity in coverage that this is compensated for by some kind of good design
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stein 13:33:13
"cool rythems of reduced complexity specification are here"
"dont cover over here, its crap"
needlessly expressive opperator sets
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stein 13:34:11
and then hopefull with good sparsely covering opperator sets, some kind of elementary rythms
like, amen breaks with copy pasting a bunch, or something like this
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stein 13:35:01
i guess there is some kind of really rough sense of opperator orthogonality
about downwardly reachable coverage
intersection...
"they end up covering the same places alot" being almost like "lines are go in same direction"
any lie algebraic terms are known for these constructions?
some kind of lattice inner product?
ray nets
idk about lie algebra really see
i guess you could think about the compositionality of the opperater set, with inclusion of new composite opperations
then you could get a ball with a rank limitation on opperator composition sequence length
for whats "nearby"
and you could want to detect for collitions, ie count degeneracy
and within this nearby ball could check for intersectionality to get a seperation between opperator sets
though i guess only around some decorated region, like a starting rythm or something
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stein 13:40:33
so you end up trying to do equivalence between different compositions of opperators from different opperator sets
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stein 13:41:54
you could have like, really weird opperator libraries, like, you can only use this really restrictive set of opperatos for this period and then you schedule a bunch of those in a big complicated tree
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stein 13:42:42
"first you can only chop up the rythms, then you can mess around with them"
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stein 13:43:12
the you get the chop chop master onion monad
"you cant do it like that!”