Fractional-octave temperaments: Difference between revisions

Eliora (talk | contribs)
Eliora (talk | contribs)
56th-octave temperaments: added 13-limit barium
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Comma list: 9801/9800, 1019215872/1019046875, 14765025303/14763950080
Comma list: 9801/9800, 1019215872/1019046875, 14765025303/14763950080


Mapping: [{{val| 56 0 -225 601 460 }}, {{val| 0 1 4 5 -3 }}]
Mapping: [{{val| 56 0 -225 601 460 }}, {{val| 0 1 4 -5 -3 }}]


Optimal tuning (CTE): ~3/2 = 701.9431
Optimal tuning (CTE): ~3/2 = 701.9431


Optimal GPV sequence: {{Val list| 224, 1176, 1400, 1624, 1848, 3920, 5768, 7616, 21000cd, 28616cd }}
Optimal GPV sequence: {{Val list| 224, 1176, 1400, 1624, 1848, 3920, 5768, 7616, 21000cd, 28616cd }}
Badness: 0.0345
==== 13-limit ====
Subgroup: 2.3.5.7.11
Comma list: 4225/4224, 9801/9800, 67392/67375, 26802913280/26795786661
Mapping: [{{val| 56 0 -225 601 460 651}}, {{val| 0 1 4 -5 -3 -5}}]
Optimal tuning (CTE): ~3/2 = 701.9431
Vals: {{Val list| 224, 1848, 2072}}, ...


Badness: 0.0345
Badness: 0.0345