Syntonic–chromatic equivalence continuum: Difference between revisions
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+ error map. Review optimal ET sequence. Unify precision |
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| Line 187: | Line 187: | ||
{{Mapping|legend=1| 1 0 -15 | 0 1 11 }} | {{Mapping|legend=1| 1 0 -15 | 0 1 11 }} | ||
: mapping generators: ~2, ~3 | : mapping generators: ~2, ~3 | ||
| Line 210: | Line 209: | ||
{{Mapping|legend=1| 1 0 18 | 0 1 -10 }} | {{Mapping|legend=1| 1 0 18 | 0 1 -10 }} | ||
: mapping generators: ~2, ~3 | : mapping generators: ~2, ~3 | ||
| Line 229: | Line 227: | ||
{{Mapping|legend=1| 1 1 -1 | 0 2 15 }} | {{Mapping|legend=1| 1 1 -1 | 0 2 15 }} | ||
: mapping generators: ~2, ~2560/2187 | : mapping generators: ~2, ~2560/2187 | ||
| Line 250: | Line 247: | ||
{{Mapping|legend=1| 1 2 2 | 0 -3 2 }} | {{Mapping|legend=1| 1 2 2 | 0 -3 2 }} | ||
: mapping generators: ~2, ~16/15 | : mapping generators: ~2, ~16/15 | ||
| Line 269: | Line 265: | ||
{{Mapping|legend=1| 1 2 5 | 0 -3 -19 }} | {{Mapping|legend=1| 1 2 5 | 0 -3 -19 }} | ||
: mapping generators: ~2, ~729/640 | : mapping generators: ~2, ~729/640 | ||
| Line 290: | Line 285: | ||
{{Mapping|legend=1| 1 3 4 | 0 -5 -6 }} | {{Mapping|legend=1| 1 3 4 | 0 -5 -6 }} | ||
: mapping generators: ~2, ~6/5 | : mapping generators: ~2, ~6/5 | ||
| Line 313: | Line 307: | ||
{{Mapping|legend=1| 7 0 -17 | 0 1 3 }} | {{Mapping|legend=1| 7 0 -17 | 0 1 3 }} | ||
: mapping generators: ~800/729, ~3 | : mapping generators: ~800/729, ~3 | ||
| Line 336: | Line 329: | ||
{{Mapping|legend=1| 7 0 -6 | 0 1 2 }} | {{Mapping|legend=1| 7 0 -6 | 0 1 2 }} | ||
: mapping generators: ~10/9, ~3 | : mapping generators: ~10/9, ~3 | ||
| Line 357: | Line 349: | ||
{{Mapping|legend=1| 7 0 5 | 0 1 1 }} | {{Mapping|legend=1| 7 0 5 | 0 1 1 }} | ||
: mapping generators: ~125/108, ~3 | : mapping generators: ~125/108, ~3 | ||
| Line 380: | Line 371: | ||
{{Mapping|legend=1| 1 -1 -4 | 0 9 22 }} | {{Mapping|legend=1| 1 -1 -4 | 0 9 22 }} | ||
: mapping generators: ~2, ~243/200 | : mapping generators: ~2, ~243/200 | ||
| Line 401: | Line 391: | ||
{{Mapping|legend=1| 1 -3 -10 | 0 16 43 }} | {{Mapping|legend=1| 1 -3 -10 | 0 16 43 }} | ||
: mapping generators: ~2, ~8000/6561 | : mapping generators: ~2, ~8000/6561 | ||
| Line 422: | Line 411: | ||
{{Mapping|legend=1| 1 0 -2 | 0 11 30 }} | {{Mapping|legend=1| 1 0 -2 | 0 11 30 }} | ||
: mapping generators: ~2, ~177147/160000 | : mapping generators: ~2, ~177147/160000 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1200. | * [[WE]]: ~2 = 1200.0596{{c}}, ~177147/160000 = 172.8864{{c}} | ||
* [[CWE]]: ~2 = 1200.000{{c}}, ~177147/160000 = 172. | : [[error map]]: {{val| +0.060 -0.204 +0.161 }} | ||
* [[CWE]]: ~2 = 1200.000{{c}}, ~177147/160000 = 172.8804{{c}} | |||
: error map: {{val| 0.000 -0.271 +0.098 }} | |||
{{Optimal ET sequence|legend=1| 7, …, 111, 118, 1541, 1659, 1777, 1895b }} | {{Optimal ET sequence|legend=1| 7, …, 111, 118, 1541, 1659, 1777, 1895b, …, 2839b, 2957b }} | ||
[[Badness]] (Sintel): 4. | [[Badness]] (Sintel): 4.09 | ||
[[Category:7edo]] | [[Category:7edo]] | ||
[[Category:Equivalence continua]] | [[Category:Equivalence continua]] | ||