21st-octave temperaments: Difference between revisions

Overthink (talk | contribs)
Add a strong temperament
Overthink (talk | contribs)
Blackmagic: + badness
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{{Optimal ET sequence|legend=1|21, 63, 84, 147}}
{{Optimal ET sequence|legend=1|21, 63, 84, 147}}
[[Badness]] (Sintel): 5.605


=== 2.3.5.7.11.13.23.29.31.43 subgroup ===
=== 2.3.5.7.11.13.23.29.31.43 subgroup ===
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Subgroup: 2.3.5.7.11.13.23.29.31.43
Subgroup: 2.3.5.7.11.13.23.29.31.43


Comma list: 155/154, [[225/224]], [[232/231]], [[300/299]], [[364/363]], 560/559, [[640/637]], [[1716/1715]]
Comma list: 155/154, 225/224, [[232/231]], [[300/299]], [[364/363]], 560/559, [[640/637]], [[1716/1715]]


{{Mapping|legend=1| 21 0 82 59 106 111 95 102 104 114 | 0 1 -1 0 -1 -1 0 0 0 0 }}
{{Mapping|legend=1| 21 0 82 59 106 111 95 102 104 114 | 0 1 -1 0 -1 -1 0 0 0 0 }}
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: Mapping generators: ~16807/16384 = 1\21, ~3
: Mapping generators: ~16807/16384 = 1\21, ~3


[[Optimal tuning]] ([[CWE]]): ~3/2 = 701.742{{C}}
Optimal tuning ([[CWE]]): ~3/2 = 701.742{{C}}
 
{{Optimal ET sequence|legend=0|21, 63, 84, 147}}


{{Optimal ET sequence|legend=1|21, 63, 84, 147}}
Badness (Sintel): 1.317


{{Navbox fractional-octave}}
{{Navbox fractional-octave}}