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Message: 6677 Date: Mon, 24 Mar 2003 09:53:44 Subject: Re: Diaschismic, Negri and Blackwood 10 From: Graham Breed Gene Ward Smith wrote: > I wasn't thinking of pajara, but of the 34&46 system I've been calling > "diaschismic". My endorsement was premature; I knew diaschismic[10] > was not only a 25/24 system, but also a 21/20 system, so I expected to > get asses in place of regular tetrads, and I did. Trouble is, these > are all 5-limit asses, so it's still 5-limit harmony. However, it's in > much better tune 5-limitwise than pajara. Sorry, I've lost the original message. 34-equal isn't consistent in the 7-limit, so it won't define the system. Do you mean 46&58? 2 3 5 7 0 1 -2 -8 Graham
Message: 6682 Date: Tue, 25 Mar 2003 16:08:57 Subject: Re: Kleismic[8] and Hemifourths[9] From: Carl Lumma >Kleismic[8] >rms error 12.274 Yeah, it's a good 'un. But how'd you pick 8? Once again: where are you getting the n's???? -Carl
Message: 6691 Date: Wed, 26 Mar 2003 00:54:51 Subject: Re: T[7] with 25/24 chroma From: Carl Lumma >part of "glassic" is in porcupine. you can hear the consecutive >triads -- major, major, minor, minor -- as the root descends stepwise >from "8ve" to "5th". thus part of you wants to believe it's >mixolydian, but melodically it's singing quite a different tune. Oh yes, I hear that! Great work! -Carl
Message: 6692 Date: Wed, 26 Mar 2003 01:03:37 Subject: Re: Kleismic[8] and Hemifourths[9] From: Carl Lumma >> Yeah, it's a good 'un. But how'd you pick 8? Once again: where >> are you getting the n's???? > >Now that I've sent you my maple programs, you could find them yourself. Thanks for the tutorial. I glanced at your stuff, but probably won't get a chance to look at it until next week. >Same comment, but probably worth exploring. So, you're doing it by hand, was all I was looking for. I wonder if there's any way to predict the good stopping points. I suppose they occur when the chromatic uv is simple? . . . >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 Ahh -- it's all coming too fast! -Carl
Message: 6698 Date: Sun, 30 Mar 2003 23:40:16 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? -Carl
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