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19edf falls exactly halfway between 32 and 33 edos. It tempers out the same commas as 65edo with the addition of <-27/19 65/19| (1.425¢) resulting from its inexact 4/1.
'''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.


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
|-
| | 1
| | 1
| | 36.945
| | 36.9450
| |
| |
|-
|-
| | 2
| | 2
| | 73.89
| | 73.8900
| | [[24/23]]
| |
|-
|-
| | 3
| | 3
| | 110.835
| | 110.8350
| | [[16/15]]
| |
|-
|-
| | 4
| | 4
| | 147.78
| | 147.7800
| | [[12/11]]
| |
|-
|-
| | 5
| | 5
| | 184.725
| | 184.7250
| | [[10/9]]
| |
|-
|-
| | 6
| | 6
| | 221.67
| | 221.6700
| | [[25/22]]
| |
|-
|-
| | 7
| | 7
| | 258.615
| | 258.6150
| | 36/31
| |
|-
|-
| | 8
| | 8
| | 295.56
| | 295.5600
| | [[19/16]]
| |
|-
|-
| | 9
| | 9
| | 332.505
| | 332.5050
| | 63/52, 40/33
| |
|-
|-
| | 10
| | 10
| | 369.45
| | 369.4500
| | [[26/21]]
| |
|-
|-
| | 11
| | 11
| | 406.395
| | 406.3950
| | [[24/19]], [[19/15]]
| |
|-
|-
| | 12
| | 12
| | 443.34
| | 443.3400
| | 31/24
| |
|-
|-
| | 13
| | 13
| | 480.285
| | 480.2850
| | 33/25
| |
|-
|-
| | 14
| | 14
| | 517.23
| | 517.2300
| | [[27/20]]
| |
|-
|-
| | 15
| | 15
| | 554.175
| | 554.1750
| | [[11/8]]
| |
|-
|-
| | 16
| | 16
| | 591.12
| | 591.1200
| | [[45/32]]
| |
|-
|-
| | 17
| | 17
| | 628.065
| | 628.0650
| | [[23/16]]
| |
|-
|-
| | 18
| | 18
| | 665.01
| | 665.0100
| | [[22/15]]
| |
|-
|-
| | 19
| | 19
| | 701.955
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|-
|-
| | 20
| | 20
| | 738.9
| | 738.9000
| |
| |
|-
|-
| | 21
| | 21
| | 775.845
| | 775.8450
| |
| |
|-
|-
| | 22
| | 22
| | 812.79
| | 812.7900
| | [[8/5]]
| |
|-
|-
| | 23
| | 23
| | 849.735
| | 849.7350
| | [[18/11]]
| |
|-
|-
| | 24
| | 24
| | 886.68
| | 886.6800
| | [[5/3]]
| |
|-
|-
| | 25
| | 25
| | 923.625
| | 923.6250
| |
| |
|-
|-
| | 26
| | 26
| | 960.57
| | 960.5700
| |
| |
|-
|-
| | 27
| | 27
| | 997.515
| | 997.5150
| | [[16/9]]
| |
|-
|-
| | 28
| | 28
| | 1034.46
| | 1034.4600
| | [[20/11]]
| |
|-
|-
| | 29
| | 29
| | 1071.405
| | 1071.4050
| | [[13/7]]
| |
|-
|-
| | 30
| | 30
| | 1108.35
| | 1108.3500
| | [[36/19]]
| |
|-
|-
| | 31
| | 31
| | 1145.295
| | 1145.2950
| | 31/16
| |
|-
|-
| | 32
| | 32
| | 1182.24
| | 1182.2400
| |
| |
|-
|-
| | 33
| | 33
| | 1219.185
| | 1219.1850
| |
| |
|}
|}
[[Category:Edf]]
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/19edf"