10edf: Difference between revisions

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 {{Infobox ET}}
-'''[[EDF|Division of the just perfect fifth]] into 10 equal parts''' (10EDF) is related to [[17edo|17 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 6.6765 cents compressed and the step size is about 70.1955 cents. It is consistent to the [[7-odd-limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the [[3-odd-limit|4-integer-limit]].
+{{ED intro}}
-Lookalikes: [[17edo]], [[27edt]]
+== Theory ==
-{{todo|improve synopsis|text=Make it longer, describe more about the tuning.}}
+edf is related to [[17edo]], but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being just. The octave is about 6.68 cents compressed. 10edf is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit.
+=== Harmonics ===
+{{Harmonics in equal|10|3|2|intervals=integer|columns=11}}
+{{Harmonics in equal|10|3|2|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 10edf (continued)}}
 ==Intervals==
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 |}
-== Harmonics ==
+== Music ==
-{{Harmonics in equal
+; [[Peter Kosmorsky]]
-| steps = 10
+* [https://www.archive.org/details/10Edf ''10 edf''] (archived 2011)
-| num = 3
-| denom = 2
-}}
-{{Harmonics in equal
-| steps = 10
-| num = 3
-| denom = 2
-| start = 12
-| collapsed = 1
-}}
-==Music==
+== See also ==
-*http://www.archive.org/details/10Edf by [[Peter Kosmorsky]]
+* [[17edo]] – relative edo
+* [[27edt]] – relative edt
+* [[44ed6]] – relative ed6
-[[Category:Edf]]
 [[Category:Listen]]
-[[Category:todo:expand]]
-[[Category:todo:improve synopsis]]