17th-octave temperaments: Difference between revisions
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No edit summary Tags: Mobile edit Mobile web edit |
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[[Badness]] (Sintel): 12.7 | [[Badness]] (Sintel): 12.7 | ||
=== 7-limit === | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 64/63, 17496/16807 | |||
{{Mapping|legend=1| 17 27 0 48 | 0 0 1 0 }} | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~28/27 = 70.588{{c}} (1\17), ~5/4 = 386.314{{c}} | |||
* [[CWE]]: ~28/27 = 70.588{{c}} (1\17), ~5/4 = 391.765{{c}} | |||
{{Optimal ET sequence|legend=1| 17c, 34d }} | |||
[[Badness]] (Sintel): 3.44 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 64/63, 99/98, 243/242 | |||
Mapping: {{Mapping| 17 27 0 48 59 | 0 0 1 0 0 }} | |||
Optimal tunings: | |||
* CTE: ~28/27 = 70.588{{c}} (1\17), ~5/4 = 386.314{{c}} | |||
* CWE: ~28/27 = 70.588{{c}} (1\17), ~5/4 = 392.472{{c}} | |||
{{Optimal ET sequence|legend=0| 17c, 34d }} | |||
Badness (Sintel): 1.77 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 64/63, 78/77, 99/98, 144/143 | |||
Mapping: {{Mapping| 17 27 0 48 59 63 | 0 0 1 0 0 0 }} | |||
Optimal tunings: | |||
* CTE: ~27/26 = 70.588{{c}} (1\17), ~5/4 = 386.314{{c}} | |||
* CWE: ~27/26 = 70.588{{c}} (1\17), ~5/4 = 392.129{{c}} | |||
{{Optimal ET sequence|legend=0| 17c, 34d }} | |||
Badness (Sintel): 1.35 | |||
== Chlorine == | == Chlorine == | ||
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{{Mapping|legend=1| 17 0 26 -87 | 0 2 1 10 }} | {{Mapping|legend=1| 17 0 26 -87 | 0 2 1 10 }} | ||
[[Optimal tuning]] ([[ | [[Optimal tuning]]s: | ||
* [[CTE]]: ~25/24 = 70.588{{c}} (1\17), ~{{monzo| 24 -5 -9 2 }} = 950.998{{c}} | |||
* [[CWE]]: ~25/24 = 70.588{{c}} (1\17), ~{{monzo| 24 -5 -9 2 }} = 950.999{{c}} | |||
{{Optimal ET sequence|legend=1| 289, 323, 612, 935, 1547 }} | {{Optimal ET sequence|legend=1| 289, 323, 612, 935, 1547 }} | ||
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Comma list: 4375/4374, 41503/41472, 1879453125/1879048192 | Comma list: 4375/4374, 41503/41472, 1879453125/1879048192 | ||
Mapping: {{mapping| | Mapping: {{mapping| 17 0 26 -87 207 | 0 2 1 10 -11 }} | ||
Optimal tuning ( | [[Optimal tuning]]s: | ||
* [[CTE]]: ~25/24 = 70.588{{c}} (1\17), ~693/400 = 950.978{{c}} | |||
* [[CWE]]: ~25/24 = 70.588{{c}} (1\17), ~693/400 = 950.975{{c}} | |||
{{Optimal ET sequence|legend=0| 289, 323, 612 }} | {{Optimal ET sequence|legend=0| 289, 323, 612 }} | ||