91edo: Difference between revisions

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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 68 & 91 temperament with the comma basis 385/384, 6250/6237, 67228/66825.

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 ''quartkenlig'' 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).

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.

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| 49/48

| [[Sfourth]]

|-

|1

|4\91

|52.75

|33/32

|[[Quartkenlig]]

|-

| 1

@@ Line 17: / Line 17: @@
 edo 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 68 & 91 temperament with the comma basis 385/384, 6250/6237, 67228/66825.
+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 ''quartkenlig'' 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).
 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.
@@ Line 70: / Line 70: @@
 | 49/48
 | [[Sfourth]]
+|-
+|1
+|4\91
+|52.75
+|33/32
+|[[Quartkenlig]]
 |-
 | 1