Meantone family: Difference between revisions

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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 typically at least as flat as [[26edo]]. Here, 17 fifths get to the interval class for 7, so that [[7/4]] is a double-augmented sixth (C-A{{x). [[26edo]] and [[33edo|33cd-edo]] are the two primary flattertone tunings. [[Half-comma meantone] is also encompassed within flattertone's range. 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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[[Badness]]: 0.0961
[[Badness]]: 0.0961
==== 11-limit ===
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 45/44, 81/80, 1375/1344
{{Mapping|legend=1| 1 0 -4 -24 0| 0 1 4 17 6 }}
: mapping generators: ~2, ~3
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 692.642
* [[CWE]]: ~2 = 1\1, ~3/2 = 692.042
{{Optimal ET sequence|legend=1| 7d, 19d, 26, 59bcd, 85bccd }}


== Dominant ==
== Dominant ==