Wizardharry clan: Difference between revisions
Created page with "{{Technical data page}} The '''wizardharry clan''' of rank-3 temperaments tempers out the wizardharry comma, 4000/3993, the amount by which a stack of three 11/10's falls short of the fourth, 4/3. == Homalic == Subgroup: 2.3.5.11 Comma list: 4000/3993 {{Mapping|legend=2| 1 2 0 1 | 0 -3 0 1 | 0 0 1 1 }} : Mapping generators: ~2, ~11/10, ~5 Optimal tunings: * WE: ~2 = 1199.917..." Tags: Mobile edit Mobile web edit |
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Discussed elsewhere are: | Discussed elsewhere are: | ||
* ''[[Hanuman]]'' (+3025/3024) → [[Lehmerismic temperaments #Hanuman|Lehmerismic temperaments]] | * ''[[Hanuman]]'' (+3025/3024) → [[Lehmerismic temperaments #Hanuman|Lehmerismic temperaments]] | ||
* ''[[History]]'' (+441/440) → [[Werckismic temperaments #History|Werckismic temperaments | * ''[[History (temperament)|History]]'' (+441/440) → [[Werckismic temperaments #History|Werckismic temperaments]] | ||
* ''[[Hades]]'' (+540/539 or 9801/9800) → [[Swetismic temperaments #Hades|Swetismic temperaments]] | * ''[[Hades]]'' (+540/539 or 9801/9800) → [[Swetismic temperaments #Hades|Swetismic temperaments]] | ||
Considered below are naiad besides the no-7 subgroup temperament. | Considered below are moctpine and naiad, besides the no-7 subgroup temperament. | ||
== Moctpine == | |||
{{see also| Moctdelismic clan }} | |||
Named by [[Xenllium]] in 2026, moctpine tempers out [[4000/3993]]. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 1375/1372, 4000/3993 | |||
{{Mapping|legend=1| 1 2 1 1 2 | 0 -3 -1 -1 0 | 0 0 3 4 3 }} | |||
: Mapping generators: ~2, ~11/10, ~7/5 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1199.9745{{c}}, ~11/10 = 165.9846{{c}}, ~7/5 = 583.8721{{c}} | |||
: [[error map]]: {{val| -0.025 +0.040 -0.707 +0.652 +0.247 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.9939{{c}}, ~7/5 = 583.8766{{c}} | |||
: error map: {{val| 0.000 +0.063 -0.678 +0.686 +0.312 }} | |||
{{Optimal ET sequence|legend=1| 29, 37, 43, 72, 152, 224, 629, 781, 853c }} | |||
[[Badness]] (Sintel): 1.28 | |||
== Naiad == | == Naiad == | ||
: ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Naiad]].'' | : ''For the 7-limit version of this temperament, see [[Miscellaneous 7-limit temperaments #Naiad]].'' | ||
Named by [[Xenllium]] in 2026, naiad tempers out [[3773/3750]] and [[5488/5445]] in the 11-limit. | Named by [[Xenllium]] in 2026, naiad tempers out [[3773/3750]] and [[5488/5445]] in the 11-limit. It can be extended to the 13-limit by adding 196/195, 364/363, or 1001/1000 to the comma basis. | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||