3edf: Difference between revisions

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 {{Infobox ET}}
-'''3edf''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into three equal parts, each of size 233.985 cents, which is to say (3/2)<sup>1/3</sup> as a frequency ratio. It corresponds to 5.1285 [[edo]]. If we want to consider it to be a temperament, it tempers out [[16/15]], [[21/20]], [[28/27]], [[81/80]], and [[256/243]] as well as [[5edo]].
+{{ED intro}}
+== Theory ==
+edf divides the [[just perfect fifth]] into three equal parts, each of size 233.985 cents, which is to say (3/2)<sup>1/3</sup> as a frequency ratio. It corresponds to 5.1285…[[edo]].
+It can also be treated as a heavily compressed version of [[5edo]], with the octave compressed by about 30 cents. Its [[patent val]] matches that of 5edo up to the [[7-limit]], and thus tempers out the same commas.
+=== Harmonics ===
+{{Harmonics in equal|3|3|2}}
 == Factoids about 3edf ==
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 ! #
 ! Cents
-!Approximate JI Ratios
+! Approximate JI ratios
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