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Notation systems in Scala

🔗Gene Ward Smith <gwsmith@svpal.org>

4/11/2005 1:37:25 AM

I was staring at the notation system L22 for 22 equal, and considering
it might be useful, and started poking about. I find 72 and 99 have a
preliminary version of an ennealimmal notation system, with nine
nominals (of course) going ABCDEFGHJ; why "I" is skipped is an
interesting question. I don't understand the system, which does not
seem to attach any importance to the generators 36/35, which gets a //
or 21/20, which gets a #(. I presume George and Dave cooked this up.
I'd like to get a settled notation for ennealimmal, and then put 45000
Fingers into an actual notated score, in whatever sense a seq file
counts as a score. If we had ennealimmal notation also for 171, 441
and 612 it would make a lot more sense, of course.

Beyond that, Pythagorean versions of 43, 50, 53, 55 and 94 would be nice.

🔗Gene Ward Smith <gwsmith@svpal.org>

4/11/2005 2:28:02 AM

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

>I don't understand the system, which does not
> seem to attach any importance to the generators 36/35, which gets a //
> or 21/20, which gets a #(.

Sorry, I was looking at this cross-eyed or something. A 21/20 gets a #
symbol, and two sharps down a nominal (a 49/48) gets a ). Five sharps
minus three nominals gives us a n 81/80, which gets a /. Two nominals
minus three sharps, a 126/125, gets a ^.

So:

2#-N = )
5#-3N = /
2N-3# = ^

More innately ennealimmal would be

N-# = some symbol
2#-N = )
2N-3# = ^
8#-5n = some symbol

🔗Gene Ward Smith <gwsmith@svpal.org>

4/11/2005 2:37:16 AM

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

> More innately ennealimmal would be
>
> N-# = some symbol (symbol for 36/35)
> 2#-N = ) (symbol for 49/48 or 50/49)
> 2N-3# = ^ (symbol for 126/125)
> 8#-5n = some symbol (symbol for 225/224)
19#-12n some symbol (symbol for 32805/32768)

Could toss in 7n-11# with a 3136/3125 also, but it hardly seems necessary.