6edt: Difference between revisions

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! Degrees
! Degrees
! [[Cent]]s
! [[Cent]]s
!hekts
! ApproximateRatios
! ApproximateRatios
|-
|-
| 0
| 0
| 0
| colspan="2" | 0
| 1/1
| 1/1
|-
|-
| 1
| 1
| 316.993
| 316.993
|216.667
| [[6/5]], [[65/54]]
| [[6/5]], [[65/54]]
|-
|-
| 2
| 2
| 633.985
| 633.985
|433.333
| [[13/9]]
| [[13/9]]
|-
|-
| 3
| 3
| 950.978
| 950.978
|650
| [[19/11]], [[26/15]]
| [[19/11]], [[26/15]]
|-
|-
| 4
| 4
| 1267.970
| 1267.97
|866.667
| [[27/13]]
| [[27/13]]
|-
|-
| 5
| 5
| 1584.963
| 1584.963
|1093.333
| [[5/2]] ([[5/4]] plus an octave)
| [[5/2]] ([[5/4]] plus an octave)
|-
|-
| 6
| 6
| 1901.955
| 1901.955
|1300
| [[3/1]]
| [[3/1]]
|}
|}

Revision as of 16:58, 10 April 2019

6edt is the abbreviation for 6 Equal Divisions of the Tritave.

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

Degrees Cents hekts ApproximateRatios
0 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