Meantone family: Difference between revisions

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Replace with the one I just noticed that exists on flora's userpage
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== Flattertone ==
== Flattertone ==
Flattertone tunings are even flatter than that of [[26edo]]. Here, 17 fourths get to the interval class for 7, so that [[7/4]] is a double-augmented sixth (C-Ax). [[26edo]] and [[33edo]] are the two primary flattertone tunings. Any flatter than this, the meantone mapping for 5/4 is too inaccurate (it becomes more of a [[16/13]] or [[27/22]]), and [[deeptone]] temperament's mapping is more logical.
Flattertone tunings are even flatter than that of [[26edo]]. Here, 17 fourths get to the interval class for 7, so that [[7/4]] is a double-augmented sixth (C-Ax). [[26edo]] and [[33edo]] are the two primary flattertone tunings. Any flatter than this, the meantone mapping for 5/4 is too inaccurate (it becomes more of a [[16/13]] or [[27/22]]), and [[deeptone]] temperament's mapping is more logical.
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


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: mapping generators: ~2, ~3
: mapping generators: ~2, ~3


[[Optimal tuning]]: ~2 = 1\1, ~3/2 = 692.698
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 692.6984
* [[CWE]]: ~2 = 1\1, ~3/2 = 692.0479


[[Support]]ing [[ET]]s: {{EDOs|7d, 26, 19d, 33cd, 40bd}}
{{Optimal ET sequence|legend=1| 7d, 19d, 26, 59bcd, 85bccd }}


=== 11-limit ===
[[Badness]]: 0.0961


== Dominant ==
== Dominant ==