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Line 1,251: Line 1,251:


=Squares=
=Squares=
[[Comma|Comma]]s: 81/80, 2401/2400
[[Comma]]s: 81/80, 2401/2400


Squares, with wedgie <<4 16 9 16 3 -24||, splits the interval of an eleventh, or 8/3, into four supermajor third ([[9/7|9/7]]) intervals, and uses it for a generator. [[31edo|31edo]], with a generator of 11/31, makes for a good squares tuning, with 8, 11, and 14 note MOS available. Squares tempers out 2401/2400, the breedsma, as well as 2430/2401.
Squares, with wedgie <<4 16 9 16 3 -24||, splits the interval of an eleventh, or 8/3, into four supermajor third ([[9/7]]) intervals, and uses it for a generator. [[31edo]], with a generator of 11/31, makes for a good squares tuning, with 8, 11, and 14 note MOS available. Squares tempers out 2401/2400, the breedsma, as well as 2430/2401.


7 and 9 limit minimax 1/4 comma
7 and 9 limit minimax 1/4 comma
Line 1,259: Line 1,259:
[|1 0 0 0>, |1 0 1/4 0>, |0 0 1 0>, |3/2 0 9/16 0>]
[|1 0 0 0>, |1 0 1/4 0>, |0 0 1 0>, |3/2 0 9/16 0>]


[[Eigenmonzo|Eigenmonzo]]s: 2, 5
[[Eigenmonzo]]s: 2, 5


[[POTE_tuning|POTE generator]]: ~9/7 = 425.942
[[POTE_tuning|POTE generator]]: ~9/7 = 425.942
Line 1,269: Line 1,269:
Map: [<1 3 8 6|, <0 -4 -16 -9|]
Map: [<1 3 8 6|, <0 -4 -16 -9|]


[[generator|Generator]]s: 2, 9/7
[[Generator]]s: 2, 9/7


EDOs: [[14edo|14]], [[31edo|31]], [[262edo|262]], [[293edo|293]]
EDOs: [[14edo|14c]], [[17edo|17c]], [[31edo|31]], [[45edo|45]], [[76edo|76]]


[[Badness|Badness]]: 0.0460
[[Badness]]: 0.0460


Music:
Music:
Line 1,290: Line 1,290:
Map: [<1 3 8 6 7|, <0 -4 -16 -9 -10|]
Map: [<1 3 8 6 7|, <0 -4 -16 -9 -10|]


EDOs: [[5edo|5]], [[8edo|8]], [[11edo|11]], [[14edo|14]], [[17edo|17]], [[31edo|31]]
EDOs: [[14edo|14c]], [[17edo|17c]], [[31edo|31]], [[45edo|45e]], [[76edo|76e]]


[[Badness|Badness]]: 0.0216
Badness: 0.0216


==13-limit==
==13-limit==
Commas: 81/80, 99/98, 121/120, 66/65
Commas: 66/65, 81/80, 99/98, 121/120


POTE generator: ~9/7 = 425.550
POTE generator: ~9/7 = 425.550
Line 1,303: Line 1,303:
Map: [<1 3 8 6 7 3|, <0 -4 -16 -9 -10 2|]
Map: [<1 3 8 6 7 3|, <0 -4 -16 -9 -10 2|]


EDOs: 17c, 31, 79cf, 110cef, 141cef
EDOs: 14c, 17c, 31, 45e, 79cf


[[Badness|Badness]]: 0.0255
Badness: 0.0255


==Agora==
==Agora==
Line 1,316: Line 1,316:
Map: [<1 3 8 6 7 14|, <0 -4 -16 -9 -10 -29|]
Map: [<1 3 8 6 7 14|, <0 -4 -16 -9 -10 -29|]


EDOs: 31, 45ef, 76e
EDOs: 14cf, 31, 45ef, 76e


Badness: 0.0245
Badness: 0.0245
===17-limit===
Commas: 81/80, 99/98, 105/104, 120/119, 121/119
POTE generator: ~9/7 = 426.187
Mapping generator: ~9/7
Map: [<1 3 8 6 7 14 8|, <0 -4 -16 -9 -10 -29 -11|]
EDOs: 14cf, 31, 45ef, 76e
===19-limit===
Commas: 77/76, 81/80, 99/98, 105/104, 120/119, 121/119
POTE generator: ~9/7 = 426.225
Mapping generator: ~9/7
Map: [<1 3 8 6 7 14 8 11|, <0 -4 -16 -9 -10 -29 -11 -19|]
EDOs: 14cf, 31, 45ef, 76e


=Cuboctahedra=
=Cuboctahedra=
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