Swetismic temperaments: Difference between revisions

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-This is a collection of rank-3 temperaments tempering out [[540/539]], but we can begin by looking at the rank-4 temperament.
+This is a collection of rank-3 temperaments tempering out [[540/539]]. Temperaments discussed elsewhere are:
-Temperaments discussed elsewhere are:
 * ''[[Terpsichore]]'', {81/80, 540/539} → [[Didymus rank three family #Terpsichore]]
 * ''[[Big Brother]]'', {99/98, 121/120} → [[Nuwell family #Big Brother]]
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 * ''[[Albus]]'', {540/539, 8019/8000} → [[Cataharry family #Albus]]
-Considered below are hades, minos, persephone and hypnos.
+Considered below are hades, minos, persephone and hypnos, but we can begin by looking at the rank-4 temperament
 == Swetismic ==
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 == Hades ==
+=== 7-limit (stearnsmic) ===
+Subgroup: 2.3.5.7
+[[Comma list]]: 118098/117649
+[[Mapping]]: [{{val| 2 1 0 2 }}, {{val| 0 3 0 5 }}, {{val| 0 0 1 0 }}]
+Mapping generators: ~343/243, ~9/7, ~5
+{{Val list|legend=1| 22, 50, 58, 72, 130, 152, 202, 224, 354 }}
+[[Badness]]: 0.748 × 10<sup>-3</sup>
+=== 11-limit ===
 Subgroup: 2.3.5.7.11
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 [[Mapping]]: [{{val| 2 1 0 2 3 }}, {{val| 0 3 0 5 -1 }}, {{val| 0 0 1 0 1 }}]
-Mapping generators: ~99/70, ~9/7, ~5
+{{Val list|legend=1| 22, 50, 58, 72, 130, 152, 224, 354, 506e, 578, 730e, 1084de, 1308dee }}
-{{Val list|legend=1| 22, 50, 58, 72, 130, 152, 224, 354, 578 }}
 [[Badness]]: 0.361 × 10<sup>-3</sup>
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 Mapping: [{{val| 2 1 0 2 3 -2 }}, {{val| 0 3 0 5 -1 13 }}, {{val| 0 0 1 0 1 0 }}]
-Vals: {{val list| 36, 58, 72, 130, 224, 354, 578 }}
+Vals: {{val list| 22f, 36, 58, 72, 130, 224, 354, 578 }}
 Badness: 0.535 × 10<sup>-3</sup>