6edt: Difference between revisions

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-'''6edt''' is the abbreviation for '''6 Equal Divisions of the Tritave'''.
+{{Infobox ET}}
-Since 6edt contains one intervals of [[2edt]] and two intervals of [[3edt]], it only introduces 2 new notes. These new notes happen to approximate [[6/5]] and [[5/2]] quite well.
+{{ED intro}}
-edt is therefore the smallest edt other than [[5edt]] to accurately approximate [[5-limit]] harmony. 6edt allows for construction of chords such as 2:5:6:15:18:26:31:45:54...
+== Theory ==
+Since 6edt contains one interval of [[2edt]] and two intervals of [[3edt]], it introduces 2 new notes unseen in previous edts. These new notes happen to approximate [[6/5]] and [[5/2]] very well, the former being only 1.351 [[cents]] sharp.
+edt is therefore the smallest edt other than [[5edt]] to accurately approximate [[5-limit]] harmony, as well as some elements from the [[13-limit]] inherited from [[3edt]]. 6edt allows for construction of chords such as 2:5:6:15:18:26:31:45:54...
+=== Harmonics ===
+{{Harmonics in equal|6|3|1|columns=16}}
-__TOC__
 == Intervals ==
-{| class="wikitable"
+{{Interval table}}
-|-
-! Degrees
-! [[Cent]]s
-!hekts
-! ApproximateRatios
-|-
-| colspan="3" | 0
-| 1/1
-|-
-| 1
-| 316.993
-|216.667
-| [[6/5]], [[65/54]]
-|-
-| 2
-| 633.985
-|433.333
-| [[13/9]]
-|-
-| 3
-| 950.978
-|650
-| [[19/11]], [[26/15]]
-|-
-| 4
-| 1267.97
-|866.667
-| [[27/13]]
-|-
-| 5
-| 1584.963
-|1093.333
-| [[5/2]] ([[5/4]] plus an octave)
-|-
-| 6
-| 1901.955
-|1300
-| [[3/1]]
-|}
-== 6n-edt Family ==
-* [[12edt]]
-* [[18edt]]
-* [[24edt]]
-* [[30edt]]
-[[Category:Edt]]
 [[Category:Nonoctave]]
 [[category:Macrotonal]]
 [[Category:todo:add sound example]]