Landscape microtemperaments: Difference between revisions

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VisualWikitext

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 * [[Misty]] (+3136/3125 or 5120/5103) → [[Misty family]]
 * ''[[Term (temperament)|Term]]'' (+32805/32768) → [[Schismatic family #Term|Schismatic family]]
+* ''[[Sextile]]'' (+33554432/33480783) → [[Garischismic clan #Sextile|Garischismic clan]]
 * ''[[Tritricot]]'' (+{{monzo| 35 -23 -3 3 }}) → [[Alphatricot family #Tritricot|Alphatricot family]]
 * [[Compton]] (+225/224) → [[Compton family #Compton|Compton family]]
@@ Line 18: / Line 19: @@
 * ''[[Triquart]]'' (+117649/116640) → [[Quartonic family #Triquart|Quartonic family]]
 * ''[[Stearnscape]]'' (+118098/117649) → [[Stearnsmic clan #Stearnscape|Stearnsmic clan]]
-* ''[[Domain (temperament)|Domain]]'' (+645700815/645657712) → [[Minortonic family #Domain|Minortonic family]]
+* ''[[Trivish]]'' (+134217728/133984375) → [[Vishnu family #Trivish|Vishnu family]]
+* ''[[Domain (temperament)|Domain]]'' (+645700815/645657712) → [[Minortone family #Domain|Minortone family]]
 * ''[[Aemilic]]'' (+{{monzo|-84 53}}) → [[159th-octave temperaments #Aemilic|159th-octave temperaments]]
-Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, sextile, zinc, magnesium, poe, and chromium in the order of increasing [[badness]].
+Considered below are septichrome, akjayland, pnict, atomic, slendscape, avicenna, zinc, magnesium, poe, and chromium in the order of increasing [[badness]].
 == Septichrome ==
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 ==== 17-limit ====
-Subgroup: 2.3.5.7.11.13
+Subgroup: 2.3.5.7.11.13.17
 Comma list: 936/935, 1701/1700, 1716/1715, 2025/2023, 61965/61952
@@ Line 510: / Line 512: @@
 Badness (Sintel): 0.928
-== Sextile ==
-: ''For the 5-limit version, see [[Schismic–commatic equivalence continuum #Sextile (5-limit)]].''
-Sextile tempers out the [[garischisma]] with a 1/6-octave period and is the {{nowrap| 12 & 270 }} temperament.
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 250047/250000, 33554432/33480783
-{{Mapping|legend=1| 6 0 71 150 | 0 1 -6 -14 }}
-: mapping generators: ~4096/3645, ~3
-[[Optimal tuning]]s:
-* [[WE]]: ~4096/3645 = 199.9828{{c}}, ~3/2 = 702.1521{{c}}
-: [[error map]]: {{val| -0.103 +0.094 +0.173 -0.088 }}
-* [[CWE]]: ~4096/3645 = 200.0000{{c}}, ~3/2 = 702.2187{{c}}
-: error map: {{val| 0.000 +0.264 +0.374 +0.112 }}
-{{Optimal ET sequence|legend=1| 12, …, 258, 270, 1362c, 1632c, …, 2442bc, 2712bc }}
-[[Badness]] (Sintel): 1.77
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 5632/5625, 9801/9800, 151263/151250
-Mapping: {{mapping| 6 0 71 150 230 | 0 1 -6 -14 -22 }}
-Optimal tunings:
-* WE: ~55/49 = 199.9817{{c}}, ~3/2 = 702.1383{{c}}
-* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2080{{c}}
-{{Optimal ET sequence|legend=0| 12, …, 258e, 270, 822, 1092, 1362c }}
-Badness (Sintel): 0.981
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 1716/1715, 2080/2079, 5632/5625, 10648/10647
-Mapping: {{mapping| 6 0 71 150 230 279 | 0 1 -6 -14 -22 -27 }}
-Optimal tunings:
-* WE: ~55/49 = 199.9804{{c}}, ~3/2 = 702.1260{{c}}
-* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2001{{c}}
-{{Optimal ET sequence|legend=0| 12f, …, 258ef, 270, 552, 822, 1092, 1914cde }}
-Badness (Sintel): 0.788
-=== 2.3.5.7.11.13.19 subgroup ===
-Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 1216/1215, 1716/1715, 2080/2079, 2376/2375, 9633/9625
-Mapping: {{mapping| 6 0 71 150 230 279 35 | 0 1 -6 -14 -22 -27 -1 }}
-Optimal tunings:
-* WE: ~55/49 = 199.9826{{c}}, ~3/2 = 702.1359{{c}}
-* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2003{{c}}
-{{Optimal ET sequence|legend=0| 12f, 258ef, 270, 552, 822, 1092 }}
-Badness (Sintel): 0.634
 == Zinc ==