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. | 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 superstition temperament (name proposed by Eliora), which in the 7-limit tempers out 4375/4374 and 83349/81920. It is defined as a 26 & 91 temperament. | ||
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 23 & 91 temperament. | 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 23 & 91 temperament. | ||
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| 4/3<br>(81/80) | | 4/3<br>(81/80) | ||
| [[Absurdity]] | | [[Absurdity]] | ||
|- | |||
|13 | |||
|18\91 | |||
(4\91) | |||
|237.36 | |||
(52.74) | |||
|7/4 | |||
|Superstition | |||
|} | |} | ||