56edf: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''56EDF''' is the [[EDF|equal division of the just perfect fifth]] into 56 parts of 12.5349 [[cent|cents]] each, corresponding to 95.7326 [[edo]] | '''56EDF''' is the [[EDF|equal division of the just perfect fifth]] into 56 parts of 12.5349 [[cent|cents]] each, corresponding to 95.7326 [[edo]]. | ||
It is related to the [[regular temperament]] which tempers out [[2401/2400]] and |91 -80 13 2> in the [[7-limit]], which is supported by {{EDOs|383, 670, 1053, 1436, and 1723}} EDOs. | |||
==Related regular temperaments== | |||
===7-limit 383&670=== | |||
Commas: 2401/2400, |91 -80 13 2> | |||
POTE generator: ~|-33 32 -4 -3> = 12.5357 | |||
Mapping: [<1 1 -1 1|, <0 56 318 173|] | |||
EDOs: {{EDOs|383, 670, 1053, 1436, 1723}} | |||
===11-limit 383&670=== | |||
Commas: 2401/2400, 14348907/14348180, 26214400/26198073 | |||
POTE generator: ~13504609503/13421772800 = 12.5359 | |||
Mapping: [<1 1 -1 1 3|, <0 56 318 173 44|] | |||
EDOs: {{EDOs|383, 670, 1053, 1436, 1723}} | |||
== Intervals== | |||
{| class="wikitable" | {| class="wikitable" | ||
! | ! colspan="2" |56ed3/2 | ||
|- | |- | ||
|1 | |1 | ||
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|} | |} | ||
{{todo|inline=1|complete table|text=Add a third column that comments on the intervals, either what [[JI]] they approximate, what they are named, or how they can be used musically.}} | |||
= | |||