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'''19EDF''' is the [[EDF|equal division of the just perfect fifth]] into 19 parts of 36.9450 [[cent|cents]] each, corresponding to 32.4807 [[edo]] (similar to every second step of [[65edo]]). It tempers out the same commas as 65edo with the addition of |-103/19 65/19> (1.425 cents) resulting from its inexact 4/1.
'''19EDF''' is the [[EDF|equal division of the just perfect fifth]] into 19 parts of 36.945 [[cent|cents]] each, corresponding to 32.4807 [[edo]] (similar to every second step of [[65edo]]). It tempers out the same commas as 65edo with the addition of |-103/19 65/19> (1.425 cents) resulting from its inexact 4/1.


==Intervals==
==Intervals==
Line 10: Line 10:
|-
|-
| | 0
| | 0
| | 0.0000
| | 0
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
|-
|-
| | 1
| | 1
| | 36.9450
| | 36.945
| |  
| |  
| |  
| |  
|-
|-
| | 2
| | 2
| | 73.8900
| | 73.89
| | [[24/23]]
| | [[24/23]]
| |  
| |  
|-
|-
| | 3
| | 3
| | 110.8350
| | 110.835
| | [[16/15]]
| | [[16/15]]
| |  
| |  
|-
|-
| | 4
| | 4
| | 147.7800
| | 147.78
| | [[12/11]]
| | [[12/11]]
| |  
| |  
|-
|-
| | 5
| | 5
| | 184.7250
| | 184.725
| | [[10/9]]
| | [[10/9]]
| |  
| |  
|-
|-
| | 6
| | 6
| | 221.6700
| | 221.67
| | [[25/22]]
| | [[25/22]]
| |  
| |  
|-
|-
| | 7
| | 7
| | 258.6150
| | 258.615
| | 36/31
| | 36/31
| |  
| |  
|-
|-
| | 8
| | 8
| | 295.5600
| | 295.56
| | [[19/16]]
| | [[19/16]]
| |  
| |  
|-
|-
| | 9
| | 9
| | 332.5050
| | 332.505
| | 63/52, 40/33
| | 63/52, 40/33
| |  
| |  
|-
|-
| | 10
| | 10
| | 369.4500
| | 369.45
| | [[26/21]]
| | [[26/21]]
| |  
| |  
|-
|-
| | 11
| | 11
| | 406.3950
| | 406.395
| | [[24/19]], [[19/15]]
| | [[24/19]], [[19/15]]
| |  
| |  
|-
|-
| | 12
| | 12
| | 443.3400
| | 443.34
| | 31/24
| | 31/24
| |  
| |  
|-
|-
| | 13
| | 13
| | 480.2850
| | 480.285
| | 33/25
| | 33/25
| |  
| |  
|-
|-
| | 14
| | 14
| | 517.2300
| | 517.23
| | [[27/20]]
| | [[27/20]]
| |  
| |  
|-
|-
| | 15
| | 15
| | 554.1750
| | 554.175
| | [[11/8]]
| | [[11/8]]
| |  
| |  
|-
|-
| | 16
| | 16
| | 591.1200
| | 591.12
| | [[45/32]]
| | [[45/32]]
| |  
| |  
|-
|-
| | 17
| | 17
| | 628.0650
| | 628.065
| | [[23/16]]
| | [[23/16]]
| |  
| |  
|-
|-
| | 18
| | 18
| | 665.0100
| | 665.01
| | [[22/15]]
| | [[22/15]]
| |  
| |  
|-
|-
| | 19
| | 19
| | 701.9550
| | 701.955
| | '''exact [[3/2]]'''
| | '''exact [[3/2]]'''
| | just perfect fifth
| | just perfect fifth
|-
|-
| | 20
| | 20
| | 738.9000
| | 738.9
| |  
| |  
| |  
| |  
|-
|-
| | 21
| | 21
| | 775.8450
| | 775.845
| |  
| |  
| |  
| |  
|-
|-
| | 22
| | 22
| | 812.7900
| | 812.79
| | [[8/5]]
| | [[8/5]]
| |  
| |  
|-
|-
| | 23
| | 23
| | 849.7350
| | 849.735
| | [[18/11]]
| | [[18/11]]
| |  
| |  
|-
|-
| | 24
| | 24
| | 886.6800
| | 886.68
| | [[5/3]]
| | [[5/3]]
| |  
| |  
|-
|-
| | 25
| | 25
| | 923.6250
| | 923.625
| |  
| |  
| |  
| |  
|-
|-
| | 26
| | 26
| | 960.5700
| | 960.57
| |  
| |  
| |  
| |  
|-
|-
| | 27
| | 27
| | 997.5150
| | 997.515
| | [[16/9]]
| | [[16/9]]
| |  
| |  
|-
|-
| | 28
| | 28
| | 1034.4600
| | 1034.46
| | [[20/11]]
| | [[20/11]]
| |  
| |  
|-
|-
| | 29
| | 29
| | 1071.4050
| | 1071.405
| | [[13/7]]
| | [[13/7]]
| |  
| |  
|-
|-
| | 30
| | 30
| | 1108.3500
| | 1108.35
| | [[36/19]]
| | [[36/19]]
| |  
| |  
|-
|-
| | 31
| | 31
| | 1145.2950
| | 1145.295
| | 31/16
| | 31/16
| |  
| |  
|-
|-
| | 32
| | 32
| | 1182.2400
| | 1182.24
| |  
| |  
| |  
| |  
|-
|-
| | 33
| | 33
| | 1219.1850
| | 1219.185
| |  
| |  
| |  
| |  
|-
|34
|1256.13
|
|
|-
|35
|1293.075
|
|
|-
|36
|1330.02
|
|
|-
|37
|1366.965
|
|
|-
|38
|1403.91
|'''exact''' 9/4
|
|}
|}


[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 22:30, 5 March 2019

19EDF is the equal division of the just perfect fifth into 19 parts of 36.945 cents each, corresponding to 32.4807 edo (similar to every second step of 65edo). It tempers out the same commas as 65edo with the addition of |-103/19 65/19> (1.425 cents) resulting from its inexact 4/1.

Intervals

degree cents value corresponding
JI intervals 		comments
0 0 exact 1/1
1 36.945
2 73.89 24/23
3 110.835 16/15
4 147.78 12/11
5 184.725 10/9
6 221.67 25/22
7 258.615 36/31
8 295.56 19/16
9 332.505 63/52, 40/33
10 369.45 26/21
11 406.395 24/19, 19/15
12 443.34 31/24
13 480.285 33/25
14 517.23 27/20
15 554.175 11/8
16 591.12 45/32
17 628.065 23/16
18 665.01 22/15
19 701.955 exact 3/2 just perfect fifth
20 738.9
21 775.845
22 812.79 8/5
23 849.735 18/11
24 886.68 5/3
25 923.625
26 960.57
27 997.515 16/9
28 1034.46 20/11
29 1071.405 13/7
30 1108.35 36/19
31 1145.295 31/16
32 1182.24
33 1219.185
34 1256.13
35 1293.075
36 1330.02
37 1366.965
38 1403.91 exact 9/4
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