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| ; Music | | ; Music |
| * "Moongazing" from ''Lessor Groove'' (2020) [https://xotla.bandcamp.com/track/moongazing-luna-25 Bandcamp] | [https://www.youtube.com/watch?v=EWuVnLOcaRg YouTube] – atmospheric-electro, luna[25] in 1000edo by [[Xotla]] | | * "Moongazing" from ''Lessor Groove'' (2020) [https://xotla.bandcamp.com/track/moongazing-luna-25 Bandcamp] | [https://www.youtube.com/watch?v=EWuVnLOcaRg YouTube] – atmospheric-electro, luna[25] in 1000edo by [[Xotla]] |
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| == Hemithirds ==
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| {{Main| Hemithirds }}
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| {{See also| Hemimean clan #Hemithirds }}
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 1029/1024, 3136/3125
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| {{Mapping|legend=1| 1 4 2 2 | 0 -15 2 5 }}
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| {{Multival|legend=1| 15 -2 -5 -38 -50 -6 }}
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| [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/25 = 193.244
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| [[Minimax tuning]]:
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| * [[7-odd-limit]]: ~28/25 = {{monzo| 1/10 -1/20 0 1/20 }}
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| : {{monzo list| 1 0 0 0 | 5/2 3/4 0 -3/4 | 11/5 -1/10 0 1/10 | 5/2 -1/4 0 1/4 }}
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| : [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.7/3
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| * [[9-odd-limit]]: ~28/25 = {{monzo| 6/35 -2/35 0 1/35 }}
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| : {{monzo list| 1 0 0 0 | 10/7 6/7 0 -3/7 | 82/35 -4/35 0 2/35 | 20/7 -2/7 0 1/7 }}
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| : [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/7
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| {{Optimal ET sequence|legend=1| 25, 31, 87, 118 }}
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| [[Badness]]: 0.044284
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 385/384, 441/440, 3136/3125
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| Mapping: {{mapping| 1 4 2 2 7 | 0 -15 2 5 -22 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.227
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| Minimax tuning:
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| * 11-odd-limit: ~28/25 = {{monzo| 5/27 0 0 1/27 -1/27 }}
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| : [{{monzo| 1 0 0 0 0 }}, {{monzo| 11/9 0 0 -5/9 5/9 }}, {{monzo| 64/27 0 0 2/27 -2/27 }}, {{monzo| 79/27 0 0 5/27 -5/27 }}, {{monzo| 79/27 0 0 -22/27 22/27 }}]
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| : Eigenmonzos (unchanged-intervals): 2, 11/7
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| {{Optimal ET sequence|legend=1| 25e, 31, 87, 118 }}
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| Badness: 0.019003
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|
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 196/195, 352/351, 385/384, 625/624
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| Mapping: {{mapping| 1 4 2 2 7 0 | 0 -15 2 5 -22 23 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.166
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| {{Optimal ET sequence|legend=1| 31, 56, 87, 118, 205d }}
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| Badness: 0.021738
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| == Lunatic == | | == Lunatic == |