Father–3 equivalence continuum: Difference between revisions

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 == 3 & 33c ==
+This low-accuracy high-complexity temperament corresponds to ''n'' = 9/4 and ''m'' = 9/5.
-Comma list: {{monzo| 16 3 -9 }}
+[[Subgroup]]: 2.3.5
-POTE generator: 34.0971 cents
+[[Comma list]]: 1953125/1769472
-Mapping: [{{val| 3 5 7 }}, {{val| 0 -3 -1 }}]
+{{Mapping|legend=1| 3 2 6 | 0 3 1 }}
-{{Optimal ET sequence|legend=1| 3, 6, 9b, 33c }}
+: mapping generators: ~125/96, ~5/4
-[http://x31eq.com/cgi-bin/rt.cgi?ets=3_33c&limit=5 The temperament finder - 5-limit 3 & 33c]
+[[Optimal tuning]]s:
+* [[CTE]]: ~125/96 = 1\3, ~5/4 = 368.2534 (~25/24 = 31.7466)
+* [[CWE]]: ~125/96 = 1\3, ~5/4 = 366.8103 (~25/24 = 33.1897)
+{{Optimal ET sequence|legend=1| 3, …, 33c, 36c, 69cc }}
+[[Badness]]: 0.682
 == Isnes ==
+Isnes is so called because the generator is half of a [[8/5]] minor sixth, in a similar way that [[sensi]] has a generator of half a [[5/3]]. This corresponds to ''n'' = 19/7 and ''m'' = 19/12.
+[[Subgroup]]: 2.3.5
-So called because the generator is half of a [[8/5]] minor sixth, in a similar way that [[sensi]] has a generator of half a [[5/3]].
+[[Comma list]]: {{monzo| 41 2 -19 }}
-Comma list: {{Monzo|41 2 -19}}
+{{Mapping|legend=1| 1 8 3 | 0 -19 -2 }}
-POTE generator: 12582912/9765625 ~ 1953125/1572864 = 405.1047 cents
+: mapping generators: ~2, ~1953125/1572864
-Mapping: [{{val| 1 8 3 }}, {{val| 0 -19 -2 }}]
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~1953125/1572864 = 405.1689
+* [[CWE]]: ~2 = 1\1, ~1953125/1572864 = 405.1272
-{{Optimal ET sequence|legend=1| 3, 74, 77, 80, 83, 154, 157, 160 }}
+{{Optimal ET sequence|legend=1| 3, 71b, 74, 77, 157, 548ccc }}
-[http://x31eq.com/cgi-bin/rt.cgi?ets=3_77&limit=5 The temperament finder - 5-limit 3 & 77]
+[[Badness]]: 1.30
 [[Category:3edo]]
 [[Category:Equivalence continua]]