No-threes subgroup temperaments: Difference between revisions
Switch to Sintel's badness, WE & CWE tunings (3/) |
→Temperaments with a higher 2.5.p gene: + missing entries |
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{{See also| Chromatic pairs #Wizz }} | {{See also| Chromatic pairs #Wizz }} | ||
Wizz, the 6 & 16 temperament in the 2.5.11 subgroup, tempers out [[15625/15488]], and is | Wizz, the 6 & 16 temperament in the 2.5.11 subgroup, tempers out [[15625/15488]], and is the common [[restriction]] of [[astrology]] and [[wizard]]. | ||
[[Subgroup]]: 2.5.11 | [[Subgroup]]: 2.5.11 | ||
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Sephiroth is the no-7 [[restriction]] of [[muggles]]. | Sephiroth is the no-7 [[restriction]] of [[muggles]]. | ||
[[Subgroup]]: 2.5.11 | |||
[[Comma list]]: 34375/32768 | |||
{{Mapping|legend=2| 1 0 15 | 0 1 -5 }} | |||
{{Mapping|legend=3| 1 0 0 0 15 | 0 0 1 0 -5 }} | |||
: mapping generators: ~2, ~5 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1203.3290{{c}}, ~5/4 = 373.6097{{c}} | |||
: [[error map]]: {{val| +3.329 -6.046 -2.722 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 372.1586{{c}} | |||
: error map: {{val| 0.000 -14.155 -12.111 }} | |||
{{Optimal ET sequence|legend=0| 3, 10, 13, 16, 29, 132cceee }} | |||
[[Badness]] (Sintel): 1.85 | |||
==== 2.5.11.13 subgroup ==== | |||
Subgroup: 2.5.11.13 | |||
Comma list: 65/64, 6875/6656 | |||
Subgroup-val mapping: {{mapping| 1 0 15 6 | 0 1 -5 -1 }} | |||
Gencom mapping: {{mapping| 1 0 0 0 15 6 | 0 0 1 0 -5 -1 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1203.3825{{c}}, ~5/4 = 373.6318{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 372.1519{{c}} | |||
{{Optimal ET sequence|legend=0| 3, 10, 13, 16, 29, 132cceeeff }} | |||
Badness (Sintel): 0.410 | |||
==== 2.5.11.13.17 subgroup ==== | |||
Subgroup: 2.5.11.13.17 | Subgroup: 2.5.11.13.17 | ||
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Subgroup-val mapping: {{mapping| 1 0 15 6 11 | 0 1 -5 -1 -3 }} | Subgroup-val mapping: {{mapping| 1 0 15 6 11 | 0 1 -5 -1 -3 }} | ||
Gencom mapping: {{mapping| 1 0 | Gencom mapping: {{mapping| 1 0 0 0 15 6 11 | 0 0 1 0 -5 -1 -3 }} | ||
Optimal tunings: | Optimal tunings: | ||