I would like to see the results of... for all equal temperaments with 5 <= G <= 100 steps/octave for all K such that 3 <= K <=6 for all K-out-of {2 3 5 7 11 13...
... C half-diminished-7 (C, Eb, Gb, Bb) ... Other ratios, by skipping one for the second line and two for the third line ... of ... By setting any value of the...
... voice- ... Also, a tempered semitone in 12-tET is about 18/17. Notice that 15/14, 18/17, 21/20, the numerators and denominators are each three apart. So a...
... Doesn't the original text make it clear that this is badness (* G)? The idea is, instead of finding rank 2 temperaments and then embedding them in a...
... Yes, you are correct, for example there is 27/25. However, you can (for example) multiply this out by the syntonic comma, 27/25 * 80/81 to obtain 16/15. I...
... It seems to me that logflat badness figures have been posted a zillion times. If that wasn't enough, there are related topics, including some on OEIS: ...
... None of them return the result that I'm suggesting (characteristic harmonic basis for each ET < 100). If that wasn't enough, there are related topics,...
... And many irrational intervals... ... It will tend to be true, because you're restricting yourself to simple ratios (the diamond and CPSs live in compact...
Given a 7-limit planar temperament in the strict sense, where 2 is a generator, we can choose two other generators so that the tetrad or pentad is contained in...
... Please remind me what a generator rectangle is, someone. Thanks! I take it a pentad is (1, 6/5, 7/5, 8/5, 9/5, 2) ? ... satisfies ... pentads. ... order ...
... It's a generalized chain-of-generators scale. If we have the two generators of a planar temperament, it is the set of interval classes (scale) defined by...
... Thanks. Do you use rectangular arragements for your purposes? Some points that can be made: we can generalize the idea of Graham complexity to each of the...
... Taking your sorting instructions literally (so the list is mostly sorted by badness), here's my Python code: import regular, temper primeLookup =...
... Only if linear ones aren't efficient enough, which seems to be the case for the 13 limit in 130-ET. For 130 I was able to find a relatively compact planar...
here is a scl file of the 11lim diamond on a 'centreless' map (each otonality begins on a utonal element rather than 1/1) it fits on the chromatic keyboard...
I am rereading Goedel Escher Bach by Douglas R. Hofstadter (BTW, a new edition has been published, I think the major change is a new Forward). Anyway, I think...
... not sure what you mean by 'two scales are being multiplied together? the scale i posted is simply a square block taken from the tonality diamond (rather...
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