Octagar temperaments: Difference between revisions

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-__FORCETOC__
+Octagar temperaments temper out the octagar comma, {{monzo|5 -4 3 -2}} = 4000/3969.
-Octagar temperaments temper out the octagar comma, |5 -4 3 -2&gt; = 4000/3969.
-=Slendi=
+Temperaments discussed elsewhere are [[Garibaldi temperament|garibaldi]], [[Augmented family #Augene|augene]], [[Tetracot family #Octacot|octacot]], [[Orwellismic temperaments #Quartonic|quartonic]], [[superkleismic]], [[Meantone family #Injera|injera]], [[Diaschismic family #Bidia|bidia]], [[Kleismic family #Hemikleismic|hemikleismic]], [[Mirkwai clan #Pluto|pluto]], [[Porcupine family #Nautilus|nautilus]], [[Ripple family|ripple]], and [[Amity family #Hamity|hamity]].
-Commas: 4000/3969, 84035/82944
-POTE generator: ~49/48 = 29.181
+== Slendi ==
+[[Comma list]]: 4000/3969, 84035/82944
-Map: [&lt;1 2 3 3|, &lt;0 -17 -28 -8|]
+[[Mapping]]: [{{val|1 2 3 3}}, {{val|0 -17 -28 -8}}]
-Wedgie: &lt;&lt;17 28 8 5 -35 -60||
+{{Multival|legend=1|17 28 8 5 -35 -60}}
-EDOs: 41, 206, 247bc, 288bcd, 329bcd
+[[POTE generator]]: ~49/48 = 29.181
-Badness: 0.1429
+{{Val list|legend=1| 41, 206, 247bc, 288bcd, 329bcd }}
-==11-limit==
+[[Badness]]: 0.142903
-Commas: 100/99, 245/242, 46656/46585
+=== 11-limit ===
+Comma list: 100/99, 245/242, 46656/46585
+Mapping: [{{val|1 2 3 3 4}}, {{val|0 -17 -28 -8 -22}}]
 POTE generator: ~49/48 = 29.180
-Map: [&lt;1 2 3 3 4|, &lt;0 -17 -28 -8 -22|]
+Vals: {{Val list| 41, 206e }}
-EDOs: 41, 206e
+Badness: 0.063217
-Badness: 0.0632
+=== 13-limit ===
+Comma list: 100/99, 144/143, 245/242, 343/338
-==13-limit==
+Mapping: [{{val|1 2 3 3 4 4}}, {{val|0 -17 -28 -8 -22 -1}}]
-Commas: 100/99, 144/143, 245/242, 343/338
 POTE generator: ~49/48 = 29.125
-Map: [&lt;1 2 3 3 4 4|, &lt;0 -17 -28 -8 -22 -12|]
+Vals: {{Val list| 41, 124ef, 165ef }}
+Badness: 0.043644
-EDOs: 41, 124ef, 165ef
+== Slithy ==
+[[Comma list]]: 4000/3969, 420175/419904
-Badness: 0.0436
+[[Mapping]]: [{{val|1 3 5 4}}, {{val|0 -19 -36 -16}}]
-=Slithy=
+{{Multival|legend=1|19 36 16 13 -28 -64}}
-Commas: 4000/3969, 420175/419904
-POTE generator: ~21/20 = 89.282
+[[POTE generator]]: ~21/20 = 89.282
-Map: [&lt;1 3 5 4|, &lt;0 -19 -36 -16|]
+{{Val list|legend=1| 27, 94, 121, 215, 336d }}
-EDOs: 27, 94, 121, 215, 336d
+[[Badness]]: 0.107482
-Badness: 0.1075
+=== 11-limit ===
+Comma list: 540/539, 2200/2187, 4375/4356
-==11-limit==
+Mapping: [{{val|1 3 5 4 8}}, {{val|0 -19 -36 -16 -61}}]
-Commas: 540/539, 2200/2187, 4375/4356
 POTE generator: ~21/20 = 89.291
-Map: [&lt;1 3 5 4 8|, &lt;0 -19 -36 -16 -61|]
+Vals: {{Val list| 94, 121, 215, 336de, 551bde }}
-EDOs: 94, 121, 215, 336de, 551bde
+Badness: 0.045895
-Badness: 0.0459
+=== 13-limit ===
+Comma list: 325/324, 352/351, 540/539, 1575/1573
-==13-limit==
+Mapping: [{{val|1 3 5 4 8 4}}, {{val|0 -19 -36 -16 -61 -4}}]
-Commas: 325/324, 352/351, 540/539, 1575/1573
 POTE generator: ~21/20 = 89.286
-Map: [&lt;1 3 5 4 8 4|, &lt;0 -19 -36 -16 -61 -4|]
+Vals: {{Val list| 94, 121, 215, 336def }}
-EDOs: 94, 121, 215, 336def
+Badness: 0.028492
-Badness: 0.0285
+[[Category:Temperament collection]]
+[[Category:Rank 2]]