Jubilismic clan: Difference between revisions
→Antikythera: +naming |
Copypasted walid here due to being strong extension |
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=== Overview to extensions === | === Overview to extensions === | ||
Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Diminished splits the ~7/5 period into a further two. Pajara slices the ~7/4 into two, with antikythera being every other step thereof. Injera slices the ~5/1 into four. Hedgehog slices the ~7/1 into five. | Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Walid merges ~5/4 and ~4/3 by tempering out [[16/15]]. | ||
Diminished splits the ~7/5 period into a further two. Pajara slices the ~7/4 into two, with antikythera being every other step thereof. Injera slices the ~5/1 into four. Hedgehog slices the ~7/1 into five. | |||
Lemba, astrology, and doublewide are discussed below; others in the clan are | Lemba, astrology, and doublewide are discussed below; others in the clan are | ||
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Badness: 0.035284 | Badness: 0.035284 | ||
== Walid == | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 16/15, 50/49 | |||
{{Mapping|legend=1| 2 0 8 9 | 0 1 -1 -1 }} | |||
: mapping generators: ~7/5, ~3 | |||
{{Multival|legend=1| 2 -2 -2 -8 -9 1 }} | |||
[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~3/2 = 749.415 | |||
{{Optimal ET sequence|legend=1| 2, 6, 8d }} | |||
[[Badness]]: 0.048978 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 16/15, 22/21, 50/49 | |||
Mapping: {{mapping| 2 0 8 9 7 | 0 1 -1 -1 0 }} | |||
Optimal tuning (POTE): ~7/5 = 1\2, ~3/2 = 749.756 | |||
{{Optimal ET sequence|legend=1| 2, 6, 8d }} | |||
Badness: 0.029193 | |||
== Antikythera == | == Antikythera == | ||