Starling family: Difference between revisions

m Update
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
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Line 97: Line 97:
[[Badness]] (Sintel): 0.424
[[Badness]] (Sintel): 0.424


[[Projection pair]]s: <code>7 125/18 11 3125/288</code>
[[Projection pair]]s: <code>7 125/18</code> <code>11 3125/288</code>


=== 13-limit ===
=== 13-limit ===
Line 104: Line 104:
Comma list: 126/125, 176/175, 196/195
Comma list: 126/125, 176/175, 196/195


Mapping: {{mapping| 1 0 0 -1 -5 0 | 0 1 0 -2 -2 -5 | 0 0 1 3 5 5 }}
{{Mapping|legend=0| 1 0 0 -1 -5 0 | 0 1 0 -2 -2 -5 | 0 0 1 3 5 5 }}


Optimal tunings:  
Optimal tunings:  
Line 121: Line 121:
Comma list: 126/125, 144/143, 176/175
Comma list: 126/125, 144/143, 176/175


Mapping: {{mapping| 1 0 0 -1 -5 9 | 0 1 0 -2 -2 4 | 0 0 1 3 5 -5 }}
{{Mapping|legend=0| 1 0 0 -1 -5 9 | 0 1 0 -2 -2 4 | 0 0 1 3 5 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 131: Line 131:
Badness (Sintel): 0.856
Badness (Sintel): 0.856


Projection pairs: <code>7 125/18 11 3125/288 13 41472/3125</code>
Projection pairs: <code>7 125/18</code> <code>11 3125/288</code> <code>13 41472/3125</code>


=== Nightingale ===
=== Nightingale ===
Line 138: Line 138:
Comma list: 66/65, 126/125, 176/175
Comma list: 66/65, 126/125, 176/175


Mapping: {{mapping| 1 0 0 -1 -5 -4 | 0 1 0 -2 -2 -1 | 0 0 1 3 5 4 }}
{{Mapping|legend=0| 1 0 0 -1 -5 -4 | 0 1 0 -2 -2 -1 | 0 0 1 3 5 4 }}


Optimal tunings:  
Optimal tunings:  
Line 153: Line 153:
Comma list: 91/90, 126/125, 176/175
Comma list: 91/90, 126/125, 176/175


Mapping: {{mapping| 1 0 0 -1 -5 2 | 0 1 0 -2 -2 4 | 0 0 1 3 5 -2 }}
{{Mapping|legend=0| 1 0 0 -1 -5 2 | 0 1 0 -2 -2 4 | 0 0 1 3 5 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 181: Line 181:


[[Badness]] (Sintel): 0.813
[[Badness]] (Sintel): 0.813
[[Projection pair]]s: <code>7 125/18</code> <code>11 6912/625</code>


Scales: [[Star and Nova]]
Scales: [[Star and Nova]]
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 196/195, 385/384
{{Mapping|legend=0| 1 0 0 -1 8 0 | 0 1 0 -2 3 -5 | 0 0 1 3 -4 5 }}
Optimal tunings:
* WE: ~2 = 1200.5083{{c}}, ~3/2 = 700.7452{{c}}, ~5/4 = 388.4655{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.5708{{c}}, ~5/4 = 388.4346{{c}}
{{Optimal ET sequence|legend=0| 15f, 19, 27, 31, 46, 77, 96d }}
Badness (Sintel): 1.07


== Thrasher ==
== Thrasher ==
{{See also| Ptolemismic clan #Thrasher }}
{{See also| Ptolemismic clan }}


[[Subgroup]]: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11
Line 223: Line 240:
Comma list: 56/55, 91/90, 100/99
Comma list: 56/55, 91/90, 100/99


Mapping: {{mapping| 1 0 0 -1 2 2 | 0 1 0 -2 -2 4 | 0 0 1 3 2 -2 }}
{{Mapping|legend=0| 1 0 0 -1 2 2 | 0 1 0 -2 -2 4 | 0 0 1 3 2 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 240: Line 257:
Comma list: 40/39, 56/55, 100/99
Comma list: 40/39, 56/55, 100/99


Mapping: {{mapping| 1 0 0 -1 2 3 | 0 1 0 -2 -2 -1 | 0 0 1 3 2 1 }}
{{Mapping|legend=0| 1 0 0 -1 2 3 | 0 1 0 -2 -2 -1 | 0 0 1 3 2 1 }}


Optimal tunings:  
Optimal tunings:  
Line 255: Line 272:
Comma list: 56/55, 78/77, 100/99
Comma list: 56/55, 78/77, 100/99


Mapping: {{mapping| 1 0 0 -1 2 0 | 0 1 0 -2 -2 -5 | 0 0 1 3 2 5 }}
{{Mapping|legend=0| 1 0 0 -1 2 0 | 0 1 0 -2 -2 -5 | 0 0 1 3 2 5 }}


Optimal tunings:  
Optimal tunings:  
Line 287: Line 304:
Comma list: 126/125, 144/143, 196/195
Comma list: 126/125, 144/143, 196/195


Mapping: {{mapping| 1 0 0 -1 4 0 | 0 1 0 -2 7 -5 | 0 0 1 3 -5 5 }}
{{Mapping|legend=0| 1 0 0 -1 4 0 | 0 1 0 -2 7 -5 | 0 0 1 3 -5 5 }}


Optimal tunings:  
Optimal tunings:  
Line 319: Line 336:
Comma list: 91/90, 126/125, 352/351
Comma list: 91/90, 126/125, 352/351


Mapping: {{mapping| 1 0 0 -1 -3 2 | 0 1 0 -2 7 4 | 0 0 1 3 -2 -2 }}
{{Mapping|legend=0| 1 0 0 -1 -3 2 | 0 1 0 -2 7 4 | 0 0 1 3 -2 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 329: Line 346:
Badness (Sintel): 1.48
Badness (Sintel): 1.48


[[Category:Starling family| ]] <!-- main article -->
[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Starling family| ]] <!-- main article -->
[[Category:Catalogs of rank-3 temperaments]]
[[Category:Rank 3]]