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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]]

Revision as of 06:45, 6 February 2019

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

Lookalikes: 27edo, 43edt

Intervals

degree cents value corresponding
JI intervals 		comments
0 0.0000 exact 1/1
1 43.8722 40/39, 39/38
2 87.7444 20/19
3 131.6166 55/51, (27/25)
4 175.4888 (21/19)
5 219.3609
6 263.2331 (7/6)
7 307.1053
8 350.9775 60/49, 49/40
9 394.8497 (44/35)
10 438.7219 (9/7)
11 482.5941
12 526.4663 (19/14)
13 570.3384 (25/18), 153/110
14 614.2106 (10/7)
15 658.0828 19/13
16 701.9550 exact 3/2 just perfect fifth
17 745.8272 20/13
18 789.6994 30/19
19 833.5716 55/34
20 877.4438
21 921.3159
22 965.1881 7/4
23 1009.0603
24 1052.9325 90/49, (11/6)
25 1096.8047 (66/35)
26 1140.6769
27 1184.5491
28 1228.4213 128/63

Compositions

schizophrenic lullaby fugue

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