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Message: 6702 Date: Mon, 31 Mar 2003 14:26:46 Subject: Re: 225/225 & 21/20 scales From: Carl Lumma >>>[4, -3, 2, -14, -8, 13] [[1, 2, 2, 3], [0, -4, 3, -2]] >>> >>>bad 2644.480844 comp 14.72969740 rms 12.18857055 >>>graham 7 scale size 9 ratio 1.285714 >> >> What's this? > >Tertiathirds[9]. Ah, tertiathirds. What the hell is that? Oh, Negri. Wait, it used to be called quadrafourths. >Did I miss it? No; for now it's all I can do to catalog your T[n] findings in the n range I'm interested in. Looks like this is still complete... >Pelogic[7] > >135/128 >[1, 9/8, 5/4, 4/3, 3/2, 8/5, 15/8] >[5/4, 15/8, 4/3, 1, 3/2, 9/8, 8/5] // >Dominant sevenths[7] >rms error 20.163 cents // >Hemifourths[9] >rms error 12.690 // >Tertiathirds[9] >rms error 12.189 cents // >Hexadecimal[9] >rms error 18.585 -Carl
Message: 6710 Date: Tue, 01 Apr 2003 13:03:03 Subject: updated list From: Carl Lumma Pelogic[7] 135/128 [1, 9/8, 5/4, 4/3, 3/2, 8/5, 15/8] [5/4, 15/8, 4/3, 1, 3/2, 9/8, 8/5] --- Dominant sevenths[7] rms error 20.163 cents --- Hemifourths[9] rms error 12.690 --- Tertiathirds[9] rms error 12.189 cents --- Hexadecimal[9] rms error 18.585 --- Pajara[10] [2, -4, -4, -11, -12, 2] [[2, 3, 5, 6], [0, 1, -2, -2]] bad 1550.521632 comp 11.92510946 rms 10.90317748 graham 6 scale size 10 ratio 1.666667 --- Check this out Carl[10] [2, 1, -4, -3, -12, -12] [[1, 1, 2, 4], [0, 2, 1, -4]] bad 2431.810368 comp 9.849243627 rms 25.06824586 graham 6 scale size 10 ratio 1.666667 --- Here's another Carl[10] [2, 6, 6, 5, 4, -3] [[2, 3, 4, 5], [0, 1, 3, 3]] bad 2682.600306 comp 11.92510946 rms 18.86388854 graham 6 scale size 10 ratio 1.666667 -Carl
Message: 6711 Date: Tue, 01 Apr 2003 13:07:30 Subject: Re: More scales (25/24) From: Carl Lumma >NB Carl Note bene? -C.
Message: 6717 Date: Wed, 02 Apr 2003 09:51:58 Subject: Re: question for graham on 9-limit temperaments From: Graham Breed wallyesterpaulrus wrote: > that fifth one -- we all know what it is, but how come it's not > consistent with anything, even 22? It looks like there was a bug, which isn't in the current version, that stops the reverse ET lookup working where the period and octave are not the same. The static files have been phased out in favor of the CGI script, which doesn't even show the ETs for now. Graham
Message: 6723 Date: Fri, 04 Apr 2003 10:05:53 Subject: Re: 45/44 & 49/48 From: Carl Lumma >Here are 11-limit scales for which both 45/44 and 49/48 are chromas I guess what I just wrote on specmus is wrong. Can you show how these two chroma arise? >the scale degree is greater than the // Graham complexity ? The "scale degree"? >Heptadec[9] [36/35, 56/55, 77/75] >[5, 3, 7, 4, -7, -3, -11, 8, -1, -13] [[1, 1, 2, 2, 3], [0, 5, 3, 7, 4]] > >bad 6400.766110 comp 32.19555159 rms 19.64440328 >graham 7 scale size 9 > > >Fourththirds[5] [16/15, 28/27, 77/75] >[1, -1, 3, -4, -4, 2, -10, 10, -6, -22] [[1, 2, 2, 4, 2], [0, -1, 1, >-3, 4]] > >bad 6476.838089 comp 20.25383770 rms 43.03787612 >graham 7 scale size 5 > > >Pajarous[10] [50/49, 55/54, 64/63] >[2, -4, -4, 10, -11, -12, 9, 2, 37, 42] [[2, 3, 5, 6, 6], [0, 1, -2, >-2, 5]] > >bad 6667.906202 comp 43.76707564 rms 12.26714784 >graham 14 scale size 10 Say, When you post lists of scales, could you post a template at the top, so we know what all this notation is? I know it's pretty standard every time, but still, for achives' sake. -Carl
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