91edo: Difference between revisions

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It is the second highest it a series of four consecutive edos that temper out [[quartisma]] ({{monzo| 24 -6 0 1 -5 }}). 33/32 is quite close to 4 steps of 91edo, and when used as a generator, produces 68 & 91 temperament with the comma basis 385/384, 6250/6237, 67228/66825. Eliora proposes the name ''quartkeenlig'' for this temperament, as it tempers out the ''quart''isma by virtue of 5 33/32 being with 7/6, ''keen''anisma (385/384), and ''lig''anellus comma (6250/6237). It can also act as a [[23edo and octave stretching|stretched 23edo]].

The [[concoctic scale]] for 91edo is 27 steps~~, and the corresponding rank two temperament is 27 & 91~~, where two concoctic neutral thirds make a sharp 91b val fifth of 54\91. ~~The best intepretation for~~ this is ~~27e~~ & 91b~~, tempering out 245/242, 3773~~/~~3750~~, 6272/6075, ~~9375/9317~~.

The [[concoctic scale]] for 91edo is 27 steps, where two concoctic neutral thirds make a sharp 91b val fifth of 54\91. From a regular temperament theory perspective, there is more than one way to interpret this, as they're all harmonically not very precise. First, in the 13-limit, is to assume that 27\91 is directly equivalent to 16/13 and set a temperament in the 2.3.5.7.16/13 subgroup, which produces a 27 & 91b temperament with the comma basis 91/90, 6272/6075, {{Monzo|84 13 11 -10}}. Second is to directly take the 27 & 91b val in the 13-limit, which can also be taken using the 27e & 91b.

91edo supports a variant of [[semaphore]] temperament which tempers out the 4613015762523/4398046511104 comma in the 2.3.7 subgroup, and is produced by a 19\91 generator.

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 It is the second highest it a series of four consecutive edos that temper out [[quartisma]] ({{monzo| 24 -6 0 1 -5 }}). 33/32 is quite close to 4 steps of 91edo, and when used as a generator, produces 68 & 91 temperament with the comma basis 385/384, 6250/6237, 67228/66825. Eliora proposes the name ''quartkeenlig'' for this temperament, as it tempers out the ''quart''isma by virtue of 5 33/32 being with 7/6, ''keen''anisma (385/384), and ''lig''anellus comma (6250/6237). It can also act as a [[23edo and octave stretching|stretched 23edo]].
-The [[concoctic scale]] for 91edo is 27 steps, and the corresponding rank two temperament is 27 & 91, where two concoctic neutral thirds make a sharp 91b val fifth of 54\91. The best intepretation for this is 27e & 91b, tempering out 245/242, 3773/3750, 6272/6075, 9375/9317.
+The [[concoctic scale]] for 91edo is 27 steps, where two concoctic neutral thirds make a sharp 91b val fifth of 54\91. From a regular temperament theory perspective, there is more than one way to interpret this, as they're all harmonically not very precise. First, in the 13-limit, is to assume that 27\91 is directly equivalent to 16/13 and set a temperament in the 2.3.5.7.16/13 subgroup, which produces a 27 & 91b temperament with the comma basis 91/90, 6272/6075, {{Monzo|84 13 11 -10}}. Second is to directly take the 27 & 91b val in the 13-limit, which can also be taken using the 27e & 91b.
 edo supports a variant of [[semaphore]] temperament which tempers out the 4613015762523/4398046511104 comma in the 2.3.7 subgroup, and is produced by a 19\91 generator.

91edo: Difference between revisions

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