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=6 Equal Divisions of the Tritave=
{{Infobox ET}}
{{ED intro}}


{| class="wikitable"
== 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.
| | Degrees
6edt 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...
| | Cents
| | ApproximateRatios
|-
| | 0
| | 0
| | 1/1
|-
| | 1
| | 316.993
| | [[6/5|6/5]], 65/54
|-
| | 2
| | 633.985
| | [[13/9|13/9]]
|-
| | 3
| | 950.978
| | 19/11, 26/15
|-
| | 4
| | 1267.970
| | 27/13
|-
| | 5
| | 1584.963
| | 5/2 ([[5/4|5/4]] plus an octave)
|-
| | 6
| | 1901.955
| | 3/1
|}


Since 6edt contains 1 intervals of [[2edt|2edt]] and 2 intervals of [[3edt|3edt]], it only introduces 2 new notes. These new notes happen to approximate 6/5 and 5/2 quite well.
=== Harmonics ===
{{Harmonics in equal|6|3|1|columns=16}}


6edt is therefore smallest edt other than [[5edt|5edt]] to accurately approximate 5-limit harmony. 6edt allows for construction of chords chords such as 2:5:6:15:18:26:31:45:54...
== Intervals ==
{{Interval table}}


==6n-edt Family:==
[[Category:Nonoctave]]
[[12edt|12edt]]
[[category:Macrotonal]]


[[18edt|18edt]]
[[Category:todo:add sound example]]
 
[[24edt|24edt]]
 
[[30edt|30edt]]      [[Category:edonoi]]
[[Category:edt]]
[[Category:equal]]
[[Category:todo:add_sound_examples]]
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