[tuning-math] Re: Temperaments sorted by "geometric badness"
- From: "genewardsmith" <genewardsmith@xxxxxxxx>
- To: tuning-math@xxxxxxxxxxxxxxx
- Date: Mon, 15 Jul 2002 06:32:24 -0000
--- In tuning-math@xxxx, Gene W Smith <genewardsmith@xxxx> wrote:
> [2, 25, 13, -40, -15, 35]
> comp 46.45156501 rms .5851564738 bad 1262.620148
Because of its high rank (#4) on my list of 45, it might be time to give this
more-or-less-microtemperament a little respect, and an actual name. Below I
give a Fokker block for the commas
<64/63, 5120/5103, 2401/2400>, and a tempering by the 239-et.
[1, 28/27, 21/20, 49/45, 9/8, 7/6, 189/160, 49/40, 80/63, 1029/800,
4/3, 441/320, 10/7, 196/135, 3/2, 14/9, 63/40, 49/30, 27/16, 343/200, 16/9,
147/80, 40/21, 3087/1600]
12 7-limit intervals, no triads, not connected :(
[0, 12, 17, 29, 41, 53, 58, 70, 82, 87, 99, 111, 123, 128, 140,
152, 157, 169, 181, 186, 198, 210, 222, 227]
59 intervals, 24 triads. It may not win a prize, but it does show the
importance of tempering in some cases.
Since 239 wants to be an 11-limit system, I also checked the 11-limit
numbers: 97 intervals, 100 triads. Smokin'!
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