Fractional-octave temperaments: Difference between revisions

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Eliora (talk | contribs)
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Badness: 0.052475
Badness: 0.052475


== 44th-octave temperaments. ==
== 44th-octave temperaments ==
One step of 44edo is very close to the septimal comma, [[64/63]]. The relationship is preserved even up thousands of EDOs.
One step of 44edo is very close to the septimal comma, [[64/63]]. The relationship is preserved even up thousands of EDOs.


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Optimal tuning (CTE): ~3/2 = 701.942
Optimal tuning (CTE): ~3/2 = 701.942


Vals: {{EDOs|1848, 2684}}, ...
Vals: 836, 1012, 1672, {{EDOs|1848, 2684}}, 2860, 3696, 4532, 5368, ...


=== 11-limit ===
=== 11-limit ===
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Optimal tuning (CTE): ~3/2 = 701.943
Optimal tuning (CTE): ~3/2 = 701.943


Vals: 1848, 2684, ...
Vals: 176, 836, 1012, 1672, 1848, 2684, 2860, 3696, 4532...


=== 13-limit ===
=== 13-limit ===
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Optimal tuning (CTE): ~3/2 = 701.939
Optimal tuning (CTE): ~3/2 = 701.939


Vals: 1848, 2684, ...
Vals: 836, 1012f, 1672f, {{EDOs|1848, 2684}}, 3696f, 4532, 5368, 7216...


== 56th-octave temperaments ==
== 56th-octave temperaments ==