@@ Line 1: / Line 1: @@
-Temperaments of the '''Mirkwai clan''' temper out the ''mirkwai comma'' ({{Monzo| 0 3 4 -5 }} = 16875/16807), a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as [[miracle]], [[Trienstonic clan #Octokaidecal|octokaidecal]], [[Starling temperaments #Nusecond|nusecond]], [[Ragismic microtemperaments #Octoid|octoid]], [[Kleismic family #Sqrtphi|sqrtphi]], [[Schismatic family #Quanharuk|quanharuk]], [[Semicomma family #Rainwell|rainwell]], [[Amity family #Familia|familia]], [[Hemimean clan #Semisept|semisept]], and [[Sensamagic clan #Bohpier|bohpier]], considered elsewhere.
+Temperaments of the '''mirkwai clan''' temper out the [[mirkwai comma]], {{monzo| 0 3 4 -5 }} = 16875/16807, a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as these considered elsewhere:
+* ''[[octokaidecal]]'', {28/27, 50/49} → [[Trienstonic clan #Octokaidecal]]
+* ''[[nusecond]]'', {126/125, 2430/2401} → [[Starling temperaments #Nusecond]]
+* [[miracle]], {225/224, 1029/1024} → [[Gamelismic clan #Miracle]]
+* ''[[bohpier]]'', {245/243, 3125/3087} → [[Sensamagic clan #Bohpier]]
+* ''[[semisept]]'', {1728/1715, 3136/3125} → [[Hemimean clan #Semisept]]
+* ''[[octoid]]'', {4375/4374, 16875/16807} → [[Ragismic microtemperaments #Octoid]]
+* ''[[sqrtphi]]'', {15625/15552, 16875/16807} → [[Kleismic family #Sqrtphi]]
+* ''[[quanharuk]]'', {16875/16807, 32805/32768} → [[Schismatic family #Quanharuk]]
+* ''[[familia]]'', {16875/16807, 1600000/1594323} → [[Amity family #Familia]]
+* ''[[rainwell]]'', {16875/16807, 2100875/2097152} → [[Semicomma family #Rainwell]]
 = Grendel =
+Subgroup: 2.3.5.7
 [[Comma list]]: 6144/6125, 16875/16807
@@ Line 15: / Line 27: @@
 == 11-limit ==
+Subgroup: 2.3.5.7.11
 Comma list: 540/539, 1375/1372, 5632/5625
@@ Line 26: / Line 40: @@
 == 13-limit ==
+Subgroup: 2.3.5.7.11.13
 Comma list: 352/351, 540/539, 625/624, 1375/1372
@@ Line 37: / Line 53: @@
 == 17-limit ==
+Subgroup: 2.3.5.7.11.13.17
 Comma list: 256/255, 352/351, 625/624, 715/714, 1275/1274
@@ Line 48: / Line 66: @@
 == 19-limit ==
+Subgroup: 2.3.5.7.11.13.17.19
 Comma list: 256/255, 352/351, 375/374, 400/399, 456/455, 715/714
@@ Line 59: / Line 79: @@
 = Kwai =
+Subgroup: 2.3.5.7
 [[Comma list]]: 5120/5103, 16875/16807
@@ Line 72: / Line 94: @@
 == 11-limit ==
+Subgroup: 2.3.5.7.11
 Comma list: 540/539, 1375/1372, 16384/16335
@@ Line 83: / Line 107: @@
 == 13-limit ==
+Subgroup: 2.3.5.7.11.13
 Comma list: 352/351, 540/539, 729/728, 1375/1372
@@ Line 94: / Line 120: @@
 == 17-limit ==
-Commas: 256/255, 352/351, 540/539, 715/714, 1089/1088
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 256/255, 352/351, 540/539, 715/714, 1089/1088
 Mapping: [{{val|1 0 -50 -40 32 27 58}}, {{val|0 1 33 27 -18 -21 -34}}]
@@ Line 105: / Line 133: @@
 == 19-limit ==
+Subgroup: 2.3.5.7.11.13.17.19
 Comma list: 256/255, 352/351, 400/399, 456/455, 715/714, 847/845
@@ Line 116: / Line 146: @@
 = Pluto =
+Subgroup: 2.3.5.7
 [[Comma list]]: 4000/3969, 10976/10935
@@ Line 129: / Line 161: @@
 == 11-limit ==
+Subgroup: 2.3.5.7.11
 Comma list: 540/539, 896/891, 1375/1372
@@ Line 140: / Line 174: @@
 === 13-limit ===
+Subgroup: 2.3.5.7.11.13
 Comma list: 325/324, 352/351, 364/363, 540/539
@@ Line 151: / Line 187: @@
 ==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
 Comma list: 256/255, 325/324, 352/351, 364/363, 540/539
@@ Line 162: / Line 200: @@
 ==== 19-limit ====
+Subgroup: 2.3.5.7.11.13.17.19
 Comma list: 190/189, 256/255, 325/324, 352/351, 361/360, 595/594
@@ Line 173: / Line 213: @@
 === Orcus ===
+Subgroup: 2.3.5.7.11.13
 Comma list: 144/143, 196/195, 275/273, 896/891
@@ Line 184: / Line 226: @@
 == Plutino ==
+Subgroup: 2.3.5.7.11
 Comma list: 100/99, 245/242, 10976/10935
@@ Line 190: / Line 234: @@
 POTE generator: ~7/5 = 585.283
-Vals: {{Val list| 2cde, 39dee, 41 }}
+Vals: {{Val list| 39dee, 41 }}
 Badness: 0.057966
 === 13-limit ===
+Subgroup: 2.3.5.7.11.13
 Comma list: 100/99, 196/195, 245/242, 729/728
@@ Line 201: / Line 247: @@
 POTE generator: ~7/5 = 585.232
-Vals: {{Val list| 2cde, 39deef, 41 }}
+Vals: {{Val list| 39deef, 41 }}
 Badness: 0.040182
 = Eris =
+Subgroup: 2.3.5.7
 [[Comma list]]: 16875/16807, 65625/65536
@@ Line 219: / Line 267: @@
 == 11-limit ==
+Subgroup: 2.3.5.7.11
 Comma list: 540/539, 1375/1372, 65625/65536
@@ Line 230: / Line 280: @@
 == 13-limit ==
+Subgroup: 2.3.5.7.11.13
 Comma list: 540/539, 625/624, 1375/1372, 4096/4095
@@ Line 241: / Line 293: @@
 = Mirkat =
+Subgroup: 2.3.5.7
 [[Comma list]]: 16875/16807, 19683/19600
@@ Line 254: / Line 308: @@
 == 11-limit ==
+Subgroup: 2.3.5.7.11
 Comma list: 540/539, 1375/1372, 8019/8000
@@ Line 265: / Line 321: @@
 == 13-limit ==
+Subgroup: 2.3.5.7.11.13
 Comma list: 351/350, 540/539, 676/675, 1375/1372
@@ Line 276: / Line 334: @@
 == 17-limit ==
+Subgroup: 2.3.5.7.11.13.17
 Comma list: 351/350, 442/441, 540/539, 561/560, 715/714
@@ Line 287: / Line 347: @@
 = Subsemifourth =
+Subgroup: 2.3.5.7
 [[Comma list]]: 16875/16807, 26873856/26796875
@@ Line 300: / Line 362: @@
 == 11-limit ==
+Subgroup: 2.3.5.7.11
 Comma list: 540/539, 1375/1372, 234375/234256
@@ Line 311: / Line 375: @@
 == 13-limit ==
+Subgroup: 2.3.5.7.11.13
 Comma list: 540/539, 847/845, 1375/1372, 1575/1573
@@ Line 317: / Line 383: @@
 POTE generator: ~15/13 = 244.714
-Vals: {{Val list| 103, 152f, 255, 407f, 662df }}
+Vals: {{Val list| 49f, 103, 152f, 255, 407f, 662df }}
 Badness: 0.028387
-[[Category:Theory]]
+[[Category:Regular temperament theory]]
 [[Category:Temperament clan]]
 [[Category:Mirkwai]]
+[[Category:Rank 2]]

Canopic clan: Difference between revisions

FloraC (talk | contribs)