Tolerant temperaments: Difference between revisions
Birth with hilarity |
m Closer to 56/55 than to 66/65 |
||
| (One intermediate revision by the same user not shown) | |||
| Line 23: | Line 23: | ||
[[Comma list]]: 179200/177147, 390625/388962 | [[Comma list]]: 179200/177147, 390625/388962 | ||
{{Mapping|legend= | {{Mapping|legend=1| 16 0 -39 -82 | 0 1 3 5 }} | ||
: mapping generators: ~392/375, ~3 | : mapping generators: ~392/375, ~3 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[WE]]: ~392/375 = 74.9713{{c}}, ~3/2 = 703.6843{{c}} | * [[WE]]: ~392/375 = 74.9713{{c}}, ~3/2 = 703.6843{{c}} (~81/80 = 28.9423{{c}}) | ||
: [[error map]]: {{val| -0.459 +1.271 -0.519 -0.347 }} | : [[error map]]: {{val| -0.459 +1.271 -0.519 -0.347 }} | ||
* [[CWE]]: ~392/375 = 75.0000{{c}}, ~3/2 = 703.8172{{c}} | * [[CWE]]: ~392/375 = 75.0000{{c}}, ~3/2 = 703.8172{{c}} (~81/80 = 28.8172{{c}}) | ||
: error map: {{val| 0.000 +1.862 +0.138 +0.260 }} | : error map: {{val| 0.000 +1.862 +0.138 +0.260 }} | ||
| Line 44: | Line 44: | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~392/375 = 74.9639{{c}}, ~3/2 = 703.6872{{c}} | * WE: ~392/375 = 74.9639{{c}}, ~3/2 = 703.6872{{c}} (~56/55 = 29.0120{{c}}) | ||
* CWE: ~392/375 = 75.0000{{c}}, ~3/2 = 703.8817{{c}} | * CWE: ~392/375 = 75.0000{{c}}, ~3/2 = 703.8817{{c}} (~56/55 = 28.8817{{c}}) | ||
{{Optimal ET sequence|legend=0| 80, 128, 208, 288be, 496bdee }} | {{Optimal ET sequence|legend=0| 80, 128, 208, 288be, 496bdee }} | ||
| Line 54: | Line 54: | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: 325/324, 352/351, | Comma list: 325/324, 352/351, 364/363, 125000/124509 | ||
{{Mapping|legend=0| 16 0 -39 -82 30 110 | 0 1 3 5 1 -2 }} | {{Mapping|legend=0| 16 0 -39 -82 30 110 | 0 1 3 5 1 -2 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~392/375 = 74.9681{{c}}, ~3/2 = 703.6668{{c}} | * WE: ~392/375 = 74.9681{{c}}, ~3/2 = 703.6668{{c}} (~56/55 = 28.9543{{c}}) | ||
* CWE: ~392/375 = 75.0000{{c}}, ~3/2 = 703.9022{{c}} | * CWE: ~392/375 = 75.0000{{c}}, ~3/2 = 703.9022{{c}} (~56/55 = 28.9022{{c}}) | ||
{{Optimal ET sequence|legend=0| 80, 128, 208, 496bdeef }} | {{Optimal ET sequence|legend=0| 80, 128, 208, 496bdeef }} | ||