Passion family: Difference between revisions

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[[Badness]] (Sintel): 3.95
[[Badness]] (Sintel): 3.95
=== Overview to extensions ===
The second comma of the comma list defines which 7-limit family member we are looking at:
* Septimal passion adds [[64/63]];
* Passionate adds [[126/125]];
* Passive adds [[225/224]].
Those all use the same nominal generator as passion.
The only weak extension we are considering is freivald, which adds [[6144/6125]] to the comma list and splits the generator in two.


== Septimal passion ==
== Septimal passion ==
Line 47: Line 57:
Comma list: 64/63, 100/99, 1375/1372
Comma list: 64/63, 100/99, 1375/1372


Mapping: {{mapping| 1 2 2 2 2 | 0 -5 4 10 18 }}
{{Mapping|legend=0| 1 2 2 2 2 | 0 -5 4 10 18 }}


Optimal tunings:  
Optimal tunings:  
Line 62: Line 72:
Comma list: 64/63, 100/99, 196/195, 275/273
Comma list: 64/63, 100/99, 196/195, 275/273


Mapping: {{mapping| 1 2 2 2 2 2 | 0 -5 4 10 18 21 }}
{{Mapping|legend=0| 1 2 2 2 2 2 | 0 -5 4 10 18 21 }}


Optimal tunings:  
Optimal tunings:  
Line 96: Line 106:
Comma list: 126/125, 176/175, 8192/8019
Comma list: 126/125, 176/175, 8192/8019


Mapping: {{mapping| 1 2 2 1 1 | 0 -5 4 22 30 }}
{{Mapping|legend=0| 1 2 2 1 1 | 0 -5 4 22 30 }}


Optimal tunings:  
Optimal tunings:  
Line 111: Line 121:
Comma list: 126/125, 176/175, 343/338, 364/363
Comma list: 126/125, 176/175, 343/338, 364/363


Mapping: {{mapping| 1 2 2 1 1 1 | 0 -5 4 22 30 33 }}
{{Mapping|legend=0| 1 2 2 1 1 1 | 0 -5 4 22 30 33 }}


Optimal tunings:  
Optimal tunings:  
Line 126: Line 136:
Comma list: 126/125, 176/175, 196/195, 1352/1331
Comma list: 126/125, 176/175, 196/195, 1352/1331


Mapping: {{mapping| 1 2 2 1 1 0 | 0 -5 4 22 30 45 }}
{{Mapping|legend=0| 1 2 2 1 1 0 | 0 -5 4 22 30 45 }}


Optimal tunings:  
Optimal tunings:  
Line 181: Line 191:
Comma list: 121/120, 176/175, 2744/2673
Comma list: 121/120, 176/175, 2744/2673


Mapping: {{mapping| 1 -3 6 -5 3 | 0 10 -8 17 1 }}
{{Mapping|legend=0| 1 -3 6 -5 3 | 0 10 -8 17 1 }}


Optimal tunings:  
Optimal tunings:  
Line 196: Line 206:
Comma list: 91/90, 121/120, 176/175, 512/507
Comma list: 91/90, 121/120, 176/175, 512/507


Mapping: {{mapping| 1 7 -2 12 4 1 | 0 -10 8 -17 -1 5 }}
{{Mapping|legend=0| 1 7 -2 12 4 1 | 0 -10 8 -17 -1 5 }}


Optimal tunings:  
Optimal tunings:  
Line 206: Line 216:
Badness (Sintel): 1.90
Badness (Sintel): 1.90


[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Passion family| ]] <!-- main article -->
[[Category:Passion family| ]] <!-- main article -->
[[Category:Passion| ]] <!-- key article -->
[[Category:Passion| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Temperament families]]
[[Category:Catalogs of rank-2 temperaments]]