40edf: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''40EDF''' is the [[EDF|equal division of the just perfect fifth]] into 40 parts of 17.5489 [[cent|cents]] each, corresponding to 68.3805 [[edo]]. It is related to the regular temperament which tempers out 2401/2400, 9801/9800, and 9453125/9437184 in the 11-limit, which is supported by [[68edo]], [[274edo]], [[342edo]], [[410edo]], 616edo, and 752edo among others.
{{ED intro}}


==Intervals==
== Theory ==
{| class="wikitable"
40edf corresponds to 68.3805[[edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] 2401/2400, 9801/9800, and 9453125/9437184 in the [[11-limit]], which is supported by [[68edo]], [[274edo]], [[342edo]], [[410edo]], [[616edo]], and [[752edo]] among others.
 
=== Harmonics ===
{{Harmonics in equal|40|3|2}}
{{Harmonics in equal|40|3|2|start=12|collapsed=1}}
 
== Intervals ==
{| class="wikitable mw-collapsible"
|+ Intervals of 40edf
|-
|-
! | degree
! | degree
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Mapping: [<2 2 4 5 8|, <0 40 22 21 -37|]
Mapping: [<2 2 4 5 8|, <0 40 22 21 -37|]


EDOs: 68, 274, 342, 410, 616, 752
EDOs: {{EDOs|68, 274, 342, 410, 616, 752}}


===2.3.5.7.11.17 subgroup 68&342===
===2.3.5.7.11.17 subgroup 68&342===
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EDOs: 68, 274, 342, 410, 616i, 752h
EDOs: 68, 274, 342, 410, 616i, 752h


[[Category:Edf]]
{{Todo|cleanup|expand}}
[[Category:Edonoi]]