[tuning-math] Re: Temperaments sorted by "geometric badness"

--- 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'!





------------------------ Yahoo! Groups Sponsor ---------------------~-->
Save on REALTOR Fees
http://us.click.yahoo.com/Xw80LD/h1ZEAA/Ey.GAA/wHYolB/TM
---------------------------------------------------------------------~->

To unsubscribe from this group, send an email to:
tuning-math-unsubscribe@xxxxxxxxxxxxxxx

 

Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ 


____________________________________________________________

To learn how to configure this list via e-mail (subscribe,
unsubscribe, etc.), send a message to listar@xxxxxxxxxxxxx
with the subject line "info tuning-math".  Or visit the
website:  < http://www.freelists.org/list/tuning-math > .

Other related posts: