84edt: Difference between revisions

@@ Line 1: / Line 1: @@
-'''[[Edt|Division of the third harmonic]] into 84 equal parts''' (84EDT) is practically identical to [[53edo|53 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.0430 cents stretched and the step size is about 22.6423 cents.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Edt]]
+== Theory ==
-[[Category:Edonoi]]
+edt is practically identical to [[53edo]], but with the 3/1 rather than the [[2/1]] being just. The octave is about 0.0430 cents stretched. Like 53edo, 84edt is [[consistent]] to the [[integer limit|10-integer-limit]].
+=== Harmonics ===
+{{Harmonics in equal|84|3|1|intervals=integer}}
+{{Harmonics in equal|84|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 84edt (continued)}}
+=== Subsets and supersets ===
+is a [[largely composite]] number. Since it factors into primes as {{nowrap| 2<sup>2</sup> × 3 × 7 }}, 84edt has subset edts {{EDs|equave=t| 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 }}.
+== Intervals ==
+{{Interval table}}
+== See also ==
+* [[9ed9/8]] – relative ed9/8
+* [[31edf]] – relative edf
+* [[53edo]] – relative edo
+* [[137ed6]] – relative ed6