Jubilismic clan: Difference between revisions

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 === 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. 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]]. 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
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 Badness: 0.035284
+== Antikythera ==
+Antikythera is every other step of [[pajara]].
+[[Subgroup]]: 2.9.5.7
+[[Comma list]]: 50/49, 64/63
+{{Mapping|legend=2| 2 0 11 12 | 0 1 -1 -1 }}
+: mapping generators: ~7/5, ~9
+{{Mapping|legend=3| 2 3 5 6 | 0 1/2 -1 -1 }}
+: [[gencom]]: [7/5 8/7; 50/49 64/63]
+[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~8/7 = 214.095
+{{Optimal ET sequence|legend=1| 4, 6, 16, 22, 28 }}
+[[Badness]]: 0.00501
 == Doublewide ==