Luna family

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The Luna family tempers out the Luna comma; 274877906944/274658203125, which has a monzo of |38 -2 -15>

Luna

Comma: 274877906944/274658203125

POTE generator: ~262144/234375 = 193.201

Map: [<1 4 2|, <0 -15 2|]

EDOs: 25, 31, 56, 87, 118, 323, 441, 559, 1000, 1559

Badness: 0.0206

Hemithirds

Main article: Hemithirds
See also: Gamelismic clan #Hemithirds

Commas: 1029/1024, 3136/3125

POTE generator: ~28/25 = 193.244

Map: [<1 4 2 2|, <0 -15 2 5|]

Wedgie: <<15 -2 -5 -38 -50 -6||

EDOs: 31, 87, 118

Badness: 0.0443

11-limit

Commas: 385/384, 441/440, 3136/3125

POTE generator: ~28/25 = 193.227

Map: [<1 4 2 2 7|, <0 -15 2 5 -22|]

EDOs: 31, 87, 118

Badness: 0.0190

13-limit

Commas: 196/195, 352/351, 1001/1000, 1029/1024

POTE generator: ~28/25 = 193.166

Map: [<1 4 2 2 7 0|, <0 -15 2 5 -22 23|]

EDOs: 31, 56, 87, 118, 205d

Badness: 0.0217

Lunatic

Commas: 4375/4374, 274877906944/274658203125

POTE generator: ~262144/234375 = 193.196

Map: [<1 4 2 2|, <0 -15 2 -113|]

Wedgie: <<15 -2 113 -38 137 268||

EDOs: 87d, 118, 323, 441, 1205, 1646

Badness: 0.0380

Semiluna

See also: Canousmic temperaments #Semiluna

Commas: 4802000/4782969, 95703125/95551488

POTE generator: ~2187/1960 = 193.1725

Map: [<2 8 4 23|, <0 -15 2 -54|]

EDOs: 56d, 118, 292, 410

Badness: 0.1922

11-limit

Commas: 5632/5625, 9801/9800, 14641/14580

POTE generator: ~121/108 = 193.1732

Map: [<2 8 4 23 14|, <0 -15 2 -54 -22|]

EDOs: 56d, 118, 292, 410

Badness: 0.0678

13-limit

Commas: 352/351, 625/624, 9801/9800, 14641/14580

POTE generator: ~121/108 = 193.1550

Map: [<2 8 4 23 14 0|, <0 -15 2 -54 -22 23|]

EDOs: 56d, 118, 174d, 292

Badness: 0.0620