91edo: Difference between revisions
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Using the 91c val, it is audibly indistinguishable from a closed system of 1/7 comma meantone, with a 5th only 0.018 cents sharper. The chromatic semitone in this scale also corresponds to 135/128, the [[eigenmonzo]] of 1/7 comma meantone, both being 7 steps. | Using the 91c val, it is audibly indistinguishable from a closed system of 1/7 comma meantone, with a 5th only 0.018 cents sharper. The chromatic semitone in this scale also corresponds to 135/128, the [[eigenmonzo]] of 1/7 comma meantone, both being 7 steps. | ||
91edo tempers out the [[Decaononic|devil's tridecalimma]], which equates as stack of 13 10/9s with two octaves. In addition, it tempers out the 5-limit tridecalimma which equates a stack of 13 135/128s with the octave. It also supports the | 91edo tempers out the [[Decaononic|devil's tridecalimma]], which equates as stack of 13 10/9s with two octaves. In addition, it tempers out the 5-limit tridecalimma which equates a stack of 13 135/128s with the octave. It also supports the [[trideci]] temperament, which in the 7-limit tempers out 4375/4374 and 83349/81920. | ||
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]]. | 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]]. | ||
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| 3/2 | | 3/2 | ||
(36/35) | (36/35) | ||
| | | [[Trideci]] | ||
|} | |} | ||