49edt: Difference between revisions

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 {{ED intro}}
-EDT is related to [[31edo]], but with the 3/1 rather than the 2/1 being just, which stretches the octave by about 3.2777{{c}}. It is consistent through the 12-[[integer limit]].
+== Theory ==
+edt is related to [[31edo]], but with the 3/1 rather than the [[2/1]] being just, which stretches the octave by about 3.28{{c}}. Like 31edo, 49edt is [[consistent]] through the [[integer limit|12-integer-limit]], but it has a sharp tendency, with [[prime harmonic]]s 2, [[5/1|5]], [[7/1|7]], and [[11/1|11]] all tuned sharp.
-Lookalikes: [[18edf]], [[31edo]], [[39cET]], [[80ed6]]
+=== Harmonics ===
+{{Harmonics in equal|49|3|1|intervals=integer}}
+{{Harmonics in equal|49|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 49edt (continued)}}
+=== Subsets and supersets ===
+Since 49 factors into primes as 7<sup>2</sup>, 49edt contains [[7edt]] as its only nontrivial subset edt.
 == Intervals ==
 {{Interval table}}
-== Harmonics ==
+== See also ==
-{{Harmonics in equal
+* [[18edf]] – relative edf
-| steps = 49
+* [[31edo]] – relative edo
-| num = 3
+* [[72ed5]] – relative ed5
-| denom = 1
+* [[80ed6]] – relative ed6
-| intervals = integer
+* [[87ed7]] – relative ed7
-}}
+* [[107ed11]] – relative ed11
-{{Harmonics in equal
+* [[111ed12]] – relative ed12
-| steps = 49
+* [[138ed22]] – relative ed22
-| num = 3
+* [[204ed96]] – close to the zeta-optimized tuning for 31edo
-| denom = 1
+* [[39cET]]
-| start = 12
-| collapsed = 1
-| intervals = integer
-}}
-{{stub}}
+[[Category:31edo]]
-[[Category:Edonoi]]