Landscape microtemperaments: Difference between revisions

m Sextile: fixes
Sextile: - the useless alt 13-limit extension and re-frame the main temp as no-17 19-limit (see talk)
Line 563: Line 563:
Badness (Sintel): 0.788
Badness (Sintel): 0.788


==== 17-limit ====
=== 2.3.5.7.11.13.19 subgroup ===
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 936/935, 1701/1700, 1716/1715, 5632/5625, 7744/7735
 
Mapping: {{mapping| 6 0 71 150 230 279 -4 | 0 1 -6 -14 -22 -27 3 }}
 
Optimal tunings:
* WE: ~55/49 = 199.9669{{c}}, ~3/2 = 702.0643{{c}}
* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.1869{{c}}
 
{{Optimal ET sequence|legend=0| 12f, 270, 552g }}
 
Badness (Sintel): 1.06
 
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 936/935, 1216/1215, 1701/1700, 1716/1715, 2376/2375, 4200/4199
 
Mapping: {{mapping| 6 0 71 150 230 279 -4 35 | 0 1 -6 -14 -22 -27 3 -1 }}
 
Optimal tunings:
* WE: ~55/49 = 199.9711{{c}}, ~3/2 = 702.0829{{c}}
* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.1890{{c}}
 
{{Optimal ET sequence|legend=0| 12f, 270, 552g, 822gg }}
 
Badness (Sintel): 0.948
 
=== Sextilia ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 1001/1000, 4096/4095, 4459/4455, 20449/20412
 
Mapping: {{mapping| 6 0 71 150 230 -149 | 0 1 -6 -14 -22 18 }}
 
Optimal tunings:
* WE: ~55/49 = 199.9975{{c}}, ~3/2 = 702.2196{{c}}
* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2285{{c}}
 
{{Optimal ET sequence|legend=0| 12, 258e, 270 }}
 
Badness (Sintel): 1.62
 
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 715/714, 1001/1000, 1701/1700, 4096/4095, 4459/4455
 
Mapping: {{mapping| 6 0 71 150 230 -149 -4 | 0 1 -6 -14 -22 18 3 }}
 
Optimal tunings:
* WE: ~55/49 = 199.9862{{c}}, ~3/2 = 702.1714{{c}}
* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2207{{c}}
 
{{Optimal ET sequence|legend=0| 12, 258e, 270 }}
 
Badness (Sintel): 1.95
 
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Comma list: 715/714, 1001/1000, 1216/1215, 1701/1700, 1729/1728, 2912/2907
Comma list: 1216/1215, 1716/1715, 2080/2079, 2376/2375, 9633/9625


Mapping: {{mapping| 6 0 71 150 230 -149 -4 35 | 0 1 -6 -14 -22 18 3 -1 }}
Mapping: {{mapping| 6 0 71 150 230 279 35 | 0 1 -6 -14 -22 -27 -1 }}


Optimal tunings:  
Optimal tunings:  
* WE: ~55/49 = 199.9866{{c}}, ~3/2 = 702.1731{{c}}
* WE: ~55/49 = 199.9826{{c}}, ~3/2 = 702.1359{{c}}
* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2208{{c}}
* CWE: ~55/49 = 200.0000{{c}}, ~3/2 = 702.2003{{c}}


{{Optimal ET sequence|legend=0| 12, 258e, 270 }}
{{Optimal ET sequence|legend=0| 12f, 258ef, 270, 552, 822, 1092 }}


Badness (Sintel): 1.53
Badness (Sintel): 0.634


== Zinc ==
== Zinc ==