... There *is* a connection with physics, but that has lead to trouble in the past, when people have assumed what is regarded as a known truth by physicists...
This time, I give only scales where the ratio of the scale size to Graham complexity is greater than 1.5. I generated the candidates using standard vals less...
These are getting rather long, so I'll only give it up to badness 5000. Quatraschismic[55] [4, -32, -15, -60, -35, 55] [[1, 1, 7, 5], [0, 4, -32, -15]] bad...
... Calling this Tertiathirds rather than Negri was my mistake. In the course of my computer problems, I had to revert to old versions of the files with names...
hi graham :) http://www.microtonal.co.uk/limit9.txt what's that third temperament? that fifth one -- we all know what it is, but how come it's not consistent...
what are the best 7-, 9-, 11-, and 13-limit extensions of diaschismic? how can we "well-temper" them so that chords near the 1/1------3/2 center are just?...
... It's what I've been calling hemififths. It has 2401/2400 and 5120/5103 for a TM comma basis, and showed up in the recent choma postings as having...
... 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....
Here is a new analysis of the family in the 7-limit, and old stuff showing what I've called "diaschismic" in the 11 and 13 limits. I'm afraid the 13 limit...
Oh damn, forget about that silly mistake, 5/3 is not equal 7/6, obviously not, I just mistyped it to another chart, and the mess came up, but I still would ...
... http://www.anaphoria.com/viggo3.PDF is cool! i've never seen it before. when i sent erv my paper, he sent me a few things and all the 10-tone scales in...
We can reverse the proceedure I've been following, and from a T[n] for temperament T, get a TM-reduced chroma. Here's what the miracle MOS give, for the 7 and...
Here are 11-limit scales for which both 45/44 and 49/48 are chromas (which entails that (45/44)/(49/48) = 540/539 is a comma.) They all have the property that...
... I guess what I just wrote on specmus is wrong. Can you show how these two chroma arise? ... ? The "scale degree"? ... Say, When you post lists of scales,...
Here are scales for wizard. Since the main interest I presume is using it for 72-et, I've reduced everything using 72-et, which means including 243/242. A...
Here are Miracle[20], Miracle[21] and Miracle[22], this time 11-limit reduced assuming 72 et. Miracle[22] seems well worth exploring for anyone interested in...
I've thought of a new approach to the question of defining a canonical generator for a given linear temperament. If T is a linear temperament, and r is a...
... I should add for this and the miracle example that the limit octave is 2. This is not always the case; Paul may or may not like to know that for Pajara,...