Archytas family: Difference between revisions
Tunings and badnesses |
- CTE & POTE tunings |
||
| (4 intermediate revisions by 2 users not shown) | |||
| Line 22: | Line 22: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[WE]]: ~2 = 1196.9552{{c}}, ~3/2 = 707.5215{{c}}, ~5/4 = 392.3765{{c}} | ||
: [[error map]]: {{val| | : [[error map]]: {{val| -3.045 +2.522 -0.027 +3.952 }} | ||
* [[CWE]]: ~2 = 1200.0000, ~3/2 = 709.3901, ~5/4 = 391.5995 | * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 709.3901{{c}}, ~5/4 = 391.5995{{c}} | ||
: error map: {{val| 0.000 +7.435 +5.286 +12.394 }} | : error map: {{val| 0.000 +7.435 +5.286 +12.394 }} | ||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[7-odd-limit]] | * [[7-odd-limit]] | ||
: {{monzo list| 1 0 0 0 | 2 1/3 0 -1/3 | 2 -2/3 1 -1/3 | 2 -2/3 0 2/3 }} | : {{monzo list| 1 0 0 0 | 2 1/3 0 -1/3 | 2 -2/3 1 -1/3 | 2 -2/3 0 2/3 }} | ||
: [[Eigenmonzo basis| | : [[Eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.5/3.7/3 | ||
* [[9-odd-limit]] | * [[9-odd-limit]] | ||
: {{monzo list| 1 0 0 0 | 3/2 1/2 0 -1/4 | 3/2 -1/2 1 -1/4 | 3 -1 0 1/2 }} | : {{monzo list| 1 0 0 0 | 3/2 1/2 0 -1/4 | 3/2 -1/2 1 -1/4 | 3 -1 0 1/2 }} | ||
: [[Eigenmonzo basis| | : [[Eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.5/3.9/7 | ||
{{Optimal ET sequence|legend=1| 5, 7, 10, 12, 15, 22, 27, 39d, 49, 88bcd, 110bcdd }} | {{Optimal ET sequence|legend=1| 5, 7, 10, 12, 15, 22, 27, 39d, 49, 88bcd, 110bcdd }} | ||
| Line 60: | Line 58: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[WE]]: ~2 = 1197.0279{{c}}, ~3/2 = 707.9291{{c}}, ~5/4 = 390.4812{{c}} | ||
: [[error map]]: {{val| | : [[error map]]: {{val| -2.972 +3.002 -1.777 +3.427 +1.898 }} | ||
* [[CWE]]: ~2 = 1200.0000, ~3/2 = 709.6947, ~5/4 = 390.0248 | * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 709.6947{{c}}, ~5/4 = 390.0248{{c}} | ||
: error map: {{val| 0.000 +7.740 +3.711 +11.785 +9.342 }} | : error map: {{val| 0.000 +7.740 +3.711 +11.785 +9.342 }} | ||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* [[11-odd-limit]] | * [[11-odd-limit]] | ||
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 3/2 1/2 0 -1/4 0 }}, {{monzo| 2 0 0 -1/2 1/2 }}, {{monzo| 3 -1 0 1/2 0 }}, {{monzo| 3 -1 0 -1/2 1 }}] | : [{{monzo| 1 0 0 0 0 }}, {{monzo| 3/2 1/2 0 -1/4 0 }}, {{monzo| 2 0 0 -1/2 1/2 }}, {{monzo| 3 -1 0 1/2 0 }}, {{monzo| 3 -1 0 -1/2 1 }}] | ||
: [[Eigenmonzo basis| | : [[Eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.11/9.9/7 | ||
{{Optimal ET sequence|legend=1| 12, 15, 22, 27e, 34d, 49, 181bbcddeeee }} | {{Optimal ET sequence|legend=1| 12, 15, 22, 27e, 34d, 49, 181bbcddeeee }} | ||
| Line 86: | Line 82: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[CWE]]: ~2 = 1195.4265{{c}}, ~3/2 = 708.2623{{c}}, ~5/4 = 399.7405{{c}} | ||
: [[error map]]: {{val| | : [[error map]]: {{val| -4.573 +1.734 +4.280 -3.644 +9.550 }} | ||
* [[CWE]]: ~2 = 1200.0000, ~3/2 = 711.5280, ~5/4 = 400.4798 | * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 711.5280{{c}}, ~5/4 = 400.4798{{c}} | ||
: error map: {{val| 0.000 +9.573 +14.166 +8.118 +25.146 }} | : error map: {{val| 0.000 +9.573 +14.166 +8.118 +25.146 }} | ||
{{Optimal ET sequence|legend=1| 5, 10, 12, 15, 27e }} | {{Optimal ET sequence|legend=1| 5, 10, 12, 15, 27e }} | ||
| Line 98: | Line 92: | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Archytas family| ]] <!-- main article --> | [[Category:Archytas family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||