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Lesfips

🔗Mike Battaglia <battaglia01@gmail.com>

1/11/2012 12:44:02 PM

I'm very confused about Lesfips and how they work. For example, in this article

http://xenharmonic.wikispaces.com/Lesfip+scales

it says that we're supposed to minimize the sum of squared error
relative to some target list of intervals. But that's too vague. Last
night on XA chat, in response to some of these questions, Keenan
mentioned shifting the "target chord" along some position on the chain
of generators, but I don't see anything about a chain of generators or
anything like that on this page.

I think it's true that the "target list of intervals" are meant to be
intervals that don't have to have the lowest note as the tonic of the
overall scale. For example, if we're looking at making a circulating
15-EDO we can optimize as a target 5/4 the intervals between 0\15 and
5\15, 2\15 and 7\15, 4\15 and 9\15, all of which are 5\15's but on
different roots. But it's not clear to me that that's correct.

Can someone please help me out and describe the algorithm in
individual steps, starting from the beginning? I've gotten very much
used to reading Gene's articles written in the very precise,
mathematical, style that he tends to write, and it would be very
helpful for me if I could see a similarly mathematical description of
the scales this article is supposed to produce.

-Mike