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Re: 581EDO
Posted: Thu Apr 20, 2017 10:12 am
by Dave Keenan
Re: 581EDO
Posted: Fri Apr 21, 2017 11:58 am
by George Secor
Dave Keenan wrote:That's quite a tour de force, George. I don't doubt that it is valid, however I find it unsatisfying. Of course it's easy to criticise, and much harder to come up with an alternative. It's unsatisfying that there is no regularity that might reduce the amount of information that needs to be remembered or looked up -- or at least none that I can discern. In particular, there is no consistent assignment of numbers-of-steps to all flags, and the double-shaft symbols do not repeat a flag sequence of the single-shaft symbols. And there are so many different core symbols.
Hmm, if one were to choose between good, bad, and ugly, I guess the verdict is ugly.
There's a way to fix this, however, if we want, in order of importance:
1) consistent flag arithmetic for the single-shaft symbols;
2) minimize number of accented symbols;
3) minimize number symbol cores.
Using the following flag arithmetic:
= 1,
= 2,
= 2,
= 6,
= 7,
= 11,
= 13,
= 15,
= 17
and assuming that
is defined as the 17:121 schismina (1088:1089), I propose the following symbol sequence:
581:
Re: 581EDO
Posted: Fri Apr 21, 2017 1:38 pm
by Dave Keenan
Thanks George. I think that's a major improvement. Here it is numbered:
1 2 3 4 5 6 7 8 9 10 11 12 13 14
15 16 17 18 19 20 21 22 23 24 25 26 27 28
29 30 31 32 33 34 35 36 37 38 39 40 41 42
43 44 45 46 47 48 49 50 51 52 53 54 55 56
Even when the double-shaft symbols don't recapitulate the flags for a subsequence of the single-shaft symbols, it is nice if a consistent value can be assigned to the second shaft, usually the value of the
symbol (30). Unfortunately, this breaks down with the symbols for 7 and 38,
and
, and those for 18 and 49,
and
. And with the symbols for 19 and 48,
and
, there is an unfortunate crossover, relative to 18 and 49. [Edit: And 8 and 37,
and
, have the same kind of crossover with 7 and 38.]
Re: 581EDO
Posted: Sat Apr 22, 2017 11:59 am
by Dave Keenan
Re: 581EDO
Posted: Sat Apr 22, 2017 1:13 pm
by Dave Keenan
Re: 581EDO
Posted: Sat Apr 22, 2017 3:50 pm
by Dave Keenan
Re: 581EDO
Posted: Sat Apr 22, 2017 4:37 pm
by Dave Keenan
Re: 581EDO
Posted: Sat Apr 22, 2017 5:10 pm
by Dave Keenan