Breedsmic temperaments: Difference between revisions

reädded 17-limit and L17.41 subgroup technical data
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Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 119.281
Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 119.281


Optimal ET sequence: {{Optimal ET sequence|l 10, 151, 161, 171, 332, 503ef, 835eeff }}
Optimal ET sequence: {{Optimal ET sequence| 10, 151, 161, 171, 332, 503ef, 835eeff }}


Badness: 0.027322
Badness: 0.027322
Line 1,093: Line 1,093:
{{Mapping|legend=1| 1 -25 -16 -13 | 0 74 51 44 }}
{{Mapping|legend=1| 1 -25 -16 -13 | 0 74 51 44 }}


: mapping generators: ~2, ~3828125/2985984
: Mapping generators: ~2, ~3828125/2985984


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
Line 1,140: Line 1,140:
Comma list: 715/714, 936/935, 1001/1000, 1225/1224, 4225/4224
Comma list: 715/714, 936/935, 1001/1000, 1225/1224, 4225/4224


Mapping: {{Val|1 49 35 31 56 21 31}}, {{Val|0 -74 -51 -44 -82 -27 -42}}
Mapping: {{mapping|1 -25 -16 -13 -26 -6 -11 | 0 74 51 44 82 27 42 }}


Optimal tuning (POTE): ~120/77 = 768.893
Optimal tunings:
* CTE: ~2 = 1200.000, ~77/60 = 431.107
* CWE: ~2 = 1200.000, ~77/60 = 431.108
 
{{Optimal ET sequence|legend=0| 103, 167, 270 }}
 
Badness (Smith): 0.0210


=== 2.3.5.7.11.13.17.41 subgroup ===
=== 2.3.5.7.11.13.17.41 subgroup ===
Line 1,149: Line 1,155:
Comma list: 616/615, 715/714, 936/935, 1001/1000, 1225/1224, 4225/4224
Comma list: 616/615, 715/714, 936/935, 1001/1000, 1225/1224, 4225/4224


Mapping: {{Val|1 49 35 31 56 21 31 6}}, {{Val|0 -74 -51 -44 -82 -27 -42 -1}}
Mapping: {{mapping|1 -25 -16 -13 -26 -6 -11 5 | 0 74 51 44 82 27 42 1}}
 
Optimal tunings:
* CTE: ~2 = 1200.000, ~41/32 = 431.107
* CWE: ~2 = 1200.000, ~41/32 = 431.111


Optimal tuning (POTE): ~64/41 = 768.893
{{Optimal ET sequence|legend=0| 103, 167, 270 }}


== Surmarvelpyth ==
== Surmarvelpyth ==