42edf: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[EDF|Division of the just perfect fifth]] into 42 equal parts''' (42EDF) is related to [[72edo|72 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]). Unlike 72edo, it is only consistent up to the [[7-odd-limit|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).
'''[[EDF|Division of the just perfect fifth]] into 42 equal parts''' (42EDF) is related to [[72edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave stretch|stretched]] by about 3.3514 [[cents]] and the step size is about 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]).  
 
Unlike 72edo, it is only consistent up to the 7-[[integer-limit]], with discrepancy for the 8th harmonic (three octaves).


Lookalikes: [[72edo]], [[114edt]], [[186ed6]]
Lookalikes: [[72edo]], [[114edt]], [[186ed6]]
== Harmonics ==
{{Harmonics in equal|42|3|2|intervals=prime}}
{{Harmonics in equal|42|3|2|intervals=prime|start=12|collapsed=1}}
== Intervals ==
{| class="wikitable"
{| class="wikitable"
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{{todo|expand}}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]