This is a kind of generic tuning to apply to large enough (and 12 seems to be large enough) 5-limit JI scales, since they always seem to have these relations....
If we consider 262144/253125 to be a third of a tone or a tertiatone, these may be named TERTIAtone DIEesis scales. ! tertiadie1.scl First Tertiadie...
... We are tuning Diaschismic so that the 7-limit works well, whether we want to acknowledge that fact or not. It's a Pajara tuning of Diaschismic, in other...
When tuning 225/224-planar (which used to be called both Byzantine and Pauline until people objected) there is no payoff in not having minor thirds pure (the...
... we ... Or any other tuning where the fifth is quite sharp. You'd have us call it "Diaschismic" even if the tuning was the pure 9/7's tuning! ... called ......
... whether ... But this is nonsense. Why would you use 22-equal or any good Pajara tuning when there are far better Diaschismic tunings for doing what you...
... tuning! ... Because I want higher than 5-limit harmonies, of course. All ... Not if you read carefully. I mentioned the various approximate higher limit...
... us ... Pajara ... what ... I do read carefully. Actually, my brain is beginning to deteriorate, I should join a gym. ... I saw no mention of those in...
... I've searched and found tuning post #50759, and tuning-math post #8332, and in both of them Pajara seems like a leap since you make no mention of anything...
... no ... I hope you don't assume that I always mean 5-limit when I say "meantone". :) ... of ... I'm planning to see how many distinct scales one obtains in...
By the way, Gene, you never got back to me about 9-limit tunings. For any 7-limit scale, can't we produce a 9-limit tuning simply by using a multiplier of 3 on...
... No. I don't know why you would use a multiplier of 3, and you'd obviously be ignoring 9:5, 9:7, and 9:8. Unless you're assuming a particular error...
No one commented on the graphs I posted around Christmas, but I'll keep going, if only for myself . . . The syntonic comma = 81/80 (21.506 cents) has a length...
In order to quantify straightness, I tried to come up with a formula that would give the 'area' of a bivector regardless of which basis vectors are chosen to...
Looks like this approach optimizes according to (Tenney) weighted minimax over ALL intervals. IS THIS RIGHT?? No need to specify a consonance limit? -- wow...
... Gene and you had an exchange. Gene suggested what I was thinking, you said that each band represented only a denominator, not a comma. Or are you talking...
... I'll ... Yes, a later pair of graphs. ... No, no consonance limit (aka odd-limit) is implicity in the dimensionality of the Tenney lattice you're using --...
Having problems with message search?
Fill out this form to ensure your group is one of the first to be migrated to the new message search system.
