16edf: Difference between revisions

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=Intervals=
'''16EDF''' is the [[EDF|equal division of the just perfect fifth]] into 16 parts of 43.8722 [[cent|cents]] each, corresponding to 27.3522 [[edo]] (similar to every third step of [[82edo]]).


Lookalikes: [[27edo]], [[43edt]]
==Intervals==
{| class="wikitable"
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
|-
| | 1
| | 1
| | 43.872 cents
| | 43.8722
| | 40/39, 39/38
| |
|-
|-
| | 2
| | 2
| | 87.744
| | 87.7444
| | [[20/19]]
| |
|-
|-
| | 3
| | 3
| | 131.61656
| | 131.6166
| | 55/51, ([[27/25]])
| |
|-
|-
| | 4
| | 4
| | 175.48875
| | 175.4888
| | ([[21/19]])
| |
|-
|-
| | 5
| | 5
| | 219.3609
| | 219.3609
| |
| |
|-
|-
| | 6
| | 6
| | 263.233
| | 263.2331
| | ([[7/6]])
| |
|-
|-
| | 7
| | 7
| | 307.105
| | 307.1053
| |
| |
|-
|-
| | 8
| | 8
| | 350.9775
| | 350.9775
| | 60/49, 49/40
| |
|-
|-
| | 9
| | 9
| | 394.84969
| | 394.8497
| | (44/35)
| |
|-
|-
| | 10
| | 10
| | 438.72188
| | 438.7219
| | ([[9/7]])
| |
|-
|-
| | 11
| | 11
| | 482.594
| | 482.5941
| |
| |
|-
|-
| | 12
| | 12
| | 526.466
| | 526.4663
| | ([[19/14]])
| |
|-
|-
| | 13
| | 13
| | 570.338
| | 570.3384
| | ([[25/18]]), 153/110
| |
|-
|-
| | 14
| | 14
| | 614.2106
| | 614.2106
| | ([[10/7]])
| |
|-
|-
| | 15
| | 15
| | 658.0828
| | 658.0828
| | [[19/13]]
| |
|-
|-
| | 16
| | 16
| | 701.955
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|-
|-
| | 17
| | 17
| | 745.827
| | 745.8272
| | [[20/13]]
| |
|-
|-
| | 18
| | 18
| | 789.699
| | 789.6994
| | [[30/19]]
| |
|-
|-
| | 19
| | 19
| | 833.57156
| | 833.5716
| | 55/34
| |
|-
|-
| | 20
| | 20
| | 877.44375
| | 877.4438
| |
| |
|-
|-
| | 21
| | 21
| | 921.3159
| | 921.3159
| |
| |
|-
|-
| | 22
| | 22
| | 965.188
| | 965.1881
| | [[7/4]]
| |
|-
|-
| | 23
| | 23
| | 1009.0603
| | 1009.0603
| |
| |
|-
|-
| | 24
| | 24
| | 1052.932
| | 1052.9325
| | 90/49, ([[11/6]])
| |
|-
|-
| | 25
| | 25
| | 1096.80469
| | 1096.8047
| | (66/35)
| |
|-
|-
| | 26
| | 26
| | 1140.67688
| | 1140.6769
| |
| |
|-
|-
| | 27
| | 27
| | 1184.549
| | 1184.5491
| |
| |
|-
| | 28
| | 1228.4213
| | 128/63
| |
|}
|}


=Compositions=
==Compositions==


[http://www.youtube.com/watch?v=-RUeO6hJLBY schizophrenic lullaby fugue]
[http://www.youtube.com/watch?v=-RUeO6hJLBY schizophrenic lullaby fugue]


[[category:todo:expand]]
[[Category:Edf]]
[[category:todo:unify precision]]
[[Category:Edonoi]]