Canopic clan: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 24: / Line 24: @@
 Members of the clan discussed elsewhere are:
+* ''[[Kwai]]'' (+5120/5103) → [[Hemifamity temperaments #Kwai|Hemifamity temperaments]]
 * ''[[Octokaidecal]]'' (+28/27 or 50/49) → [[Trienstonic clan #Octokaidecal|Trienstonic clan]]
 * ''[[Meantritone]]'' (+81/80) → [[Meantone family #Meantritone|Meantone family]]
+* ''[[Quanharuk]]'' (+32805/32768) → [[Schismatic family #Quanharuk|Schismatic family]]
 * [[Miracle]] (+225/224) → [[Gamelismic clan #Miracle|Gamelismic clan]]
 * ''[[Pluto]]'' (+4000/3969) → [[Octagar temperaments #Pluto|Octagar temperaments]]
 * ''[[Bohpier]]'' (+245/243) → [[Sensamagic clan #Bohpier|Sensamagic clan]]
 * ''[[Semisept]]'' (+1728/1715 or 3136/3125) → [[Hemimean clan #Semisept|Hemimean clan]]
+* ''[[Grendel]]'' (+6144/6125) → [[Porwell temperaments #Grendel|Porwell temperaments]]
 * ''[[Quinmage]]'' (+3125/3072) → [[Magic family #Quinmage|Magic family]]
+* ''[[Familia]]'' (+1600000/1594323) → [[Amity family #Familia|Amity family]]
 * [[Sqrtphi]] (+15625/15552) → [[Kleismic family #Sqrtphi|Kleismic family]]
-* ''[[Kwai]]'' (+16875/16807) → [[Hemifamity temperaments #Kwai|Hemifamity temperaments]]
-* ''[[Quanharuk]]'' (+32805/32768) → [[Schismatic family #Quanharuk|Schismatic family]]
-* ''[[Familia]]'' (+1600000/1594323) → [[Amity family #Familia|Amity family]]
 * ''[[Rainwell]]'' (+2100875/2097152) → [[Semicomma family #Rainwell|Semicomma family]]
 * ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart|Quartonic family]]
@@ Line 40: / Line 41: @@
 For ''no-twos'' extensions, see [[No-twos subgroup temperaments #Canopus]].
-Considered below are grendel, mirkat, eris, subsemifourth, septendesemi, gaster, subsedia, hemiseptisix, browser, and grazer.
+Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, subsedia, hemiseptisix, browser, and grazer.
-== Grendel ==
-: ''For the 5-limit version, see [[Syntonic–31 equivalence continuum #Counterwürschmidt]].''
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 6144/6125, 16875/16807
-{{Mapping|legend=1| 1 -14 3 -6 | 0 23 -1 13 }}
-: mapping generators: ~2, ~8/5
-[[Optimal tuning]]s:
-* [[WE]]: ~2 = 1199.7348{{c}}, ~8/5 = 812.9574{{c}}
-: [[error map]]: {{val| -0.265 -0.220 -0.067 +1.212 }}
-* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/5 = 813.1311{{c}}
-: error map: {{val| 0.000 +0.059 +0.555 +1.878 }}
-{{Optimal ET sequence|legend=1| 31, 90, 121, 152, 335d, 822dd }}
-[[Badness]] (Sintel): 1.31
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 540/539, 1375/1372, 5632/5625
-Mapping: {{mapping| 1 -14 3 -6 -25 | 0 23 -1 13 42 }}
-Optimal tunings:
-* WE: ~2 = 1199.7355{{c}}, ~8/5 = 812.9622{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~8/5 = 813.1353{{c}}
-{{Optimal ET sequence|legend=0| 31, 90e, 121, 152, 335d, 487d }}
-Badness (Sintel): 0.656
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 352/351, 540/539, 625/624, 1375/1372
-Mapping: {{mapping| 1 -14 3 -6 -25 22 | 0 23 -1 13 42 -27 }}
-Optimal tunings:
-* WE: ~2 = 1199.4412{{c}}, ~8/5 = 812.7956{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~8/5 = 813.1209{{c}}
-{{Optimal ET sequence|legend=0| 31, 90e, 121, 152f, 273def, 425deff }}
-Badness (Sintel): 1.03
-=== 17-limit ===
-Subgroup: 2.3.5.7.11.13.17
-Comma list: 256/255, 352/351, 625/624, 715/714, 1275/1274
-Mapping: {{mapping| 1 -14 3 -6 -25 22 19 | 0 23 -1 13 42 -27 -22 }}
-Optimal tunings:
-* WE: ~2 = 1199.3029{{c}}, ~8/5 = 812.7156{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~8/5 = 813.1843{{c}}
-{{Optimal ET sequence|legend=0| 31, 90e, 121, 152fg, 273defgg }}
-Badness (Sintel): 1.09
-=== 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
-Mapping: {{mapping| 1 -14 3 -6 -25 22 19 30 | 0 23 -1 13 42 -27 -22 -38 }}
-Optimal tunings:
-* WE: ~2 = 1199.3587{{c}}, ~8/5 = 812.7462{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~8/5 = 813.1796{{c}}
-{{Optimal ET sequence|legend=0| 31, 90e, 121, 152fg, 273defgg }}
-Badness (Sintel): 1.12
 == Mirkat ==