6edt: Difference between revisions

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=6 Equal Divisions of the Tritave=
'''6edt''' is the abbreviation for '''6 Equal Divisions of the Tritave'''.
__TOC__
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.
6edt is therefore 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...


== Intervals ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Degrees
! Degrees
| | Cents
! [[Cent]]s
| | ApproximateRatios
! ApproximateRatios
|-
|-
| | 0
| 0
| | 0
| 0
| | 1/1
| 1/1
|-
|-
| | 1
| 1
| | 316.993
| 316.993
| | [[6/5|6/5]], 65/54
| [[6/5]], [[65/54]]
|-
|-
| | 2
| 2
| | 633.985
| 633.985
| | [[13/9|13/9]]
| [[13/9]]
|-
|-
| | 3
| 3
| | 950.978
| 950.978
| | 19/11, 26/15
| [[19/11]], [[26/15]]
|-
|-
| | 4
| 4
| | 1267.970
| 1267.970
| | 27/13
| [[27/13]]
|-
|-
| | 5
| 5
| | 1584.963
| 1584.963
| | 5/2 ([[5/4|5/4]] plus an octave)
| [[5/2]] ([[5/4]] plus an octave)
|-
|-
| | 6
| 6
| | 1901.955
| 1901.955
| | 3/1
| [[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.
== 6n-edt Family ==
* [[12edt]]
* [[18edt]]
* [[24edt]]
* [[30edt]]


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...
[[Category:Edt]]
[[Category:Nonoctave]]
[[category:Macrotonal]]


==6n-edt Family:==
[[Category:todo:add sound examples]]
[[12edt|12edt]]
 
[[18edt|18edt]]
 
[[24edt|24edt]]
 
[[30edt|30edt]]      [[Category:edonoi]]
[[Category:edt]]
[[Category:equal]]
[[Category:todo:add_sound_examples]]
[[category:macrotonal]]