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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.
{{Infobox ET}}


==Intervals==
== Theory ==
19edf corresponds to 32.4807 [[edo]] (similar to every second step of [[65edo]]). It tempers out the same commas as 65edo with the addition of {{monzo| -103/19 65/19 }} (1.425{{c}}) resulting from its inexact 4/1. It is not as similar to [[32edo]] as [[13edf]] and [[16edf]] are to [[22edo]] and [[27edo]].


{| class="wikitable"
== Harmonics ==
{{Harmonics in equal|19|3|2}}
{{Harmonics in equal|19|3|2|start=12|collapsed=1}}
 
== Intervals ==
{| class="wikitable mw-collapsible"
|+ style="font-size: 105%;" | Intervals of 19edf
|-
|-
| | 1
! Degree
| | 36.945
! [[Cent]]s
! Corresponding<br />JI intervals
! comments
|-
|-
| | 2
! colspan="2" | 0
| | 73.89
| '''exact [[1/1]]'''
|  
|-
|-
| | 3
| 1
| | 110.835
| 36.945
|  
|  
|-
|-
| | 4
| 2
| | 147.78
| 73.89
| [[24/23]]
|  
|-
|-
| | 5
| 3
| | 184.725
| 110.835
| [[16/15]]
|  
|-
|-
| | 6
| 4
| | 221.67
| 147.78
| [[12/11]]
|  
|-
|-
| | 7
| 5
| | 258.615
| 184.725
| [[10/9]]
|  
|-
|-
| | 8
| 6
| | 295.56
| 221.67
| [[25/22]]
|  
|-
|-
| | 9
| 7
| | 332.505
| 258.615
| 36/31
|  
|-
|-
| | 10
| 8
| | 369.45
| 295.56
| [[19/16]]
|  
|-
|-
| | 11
| 9
| | 406.395
| 332.505
| 63/52, 40/33
|  
|-
|-
| | 12
| 10
| | 443.34
| 369.45
| [[26/21]]
|  
|-
|-
| | 13
| 11
| | 480.285
| 406.395
| [[24/19]], [[19/15]]
|  
|-
|-
| | 14
| 12
| | 517.23
| 443.34
| 31/24
|  
|-
|-
| | 15
| 13
| | 554.175
| 480.285
| 33/25
|  
|-
|-
| | 16
| 14
| | 591.12
| 517.23
| [[27/20]]
|  
|-
|-
| | 17
| 15
| | 628.065
| 554.175
| [[11/8]]
|  
|-
|-
| | 18
| 16
| | 665.01
| 591.12
| [[45/32]]
|  
|-
|-
| | 19
| 17
| | 701.955
| 628.065
| [[23/16]]
|  
|-
|-
| | 20
| 18
| | 738.9
| 665.01
| [[22/15]]
|  
|-
|-
| | 21
| 19
| | 775.845
| 701.955
| '''exact [[3/2]]'''
| just perfect fifth
|-
|-
| | 22
| 20
| | 812.79
| 738.9
|  
|  
|-
|-
| | 23
| 21
| | 849.735
| 775.845
|  
|  
|-
|-
| | 24
| 22
| | 886.68
| 812.79
| [[8/5]]
|  
|-
|-
| | 25
| 23
| | 923.625
| 849.735
| [[18/11]]
|  
|-
|-
| | 26
| 24
| | 960.57
| 886.68
| [[5/3]]
|  
|-
|-
| | 27
| 25
| | 997.515
| 923.625
|  
|  
|-
|-
| | 28
| 26
| | 1034.46
| 960.57
|  
|  
|-
|-
| | 29
| 27
| | 1071.405
| 997.515
| [[16/9]]
|  
|-
|-
| | 30
| 28
| | 1108.35
| 1034.46
| [[20/11]]
|  
|-
|-
| | 31
| 29
| | 1145.295
| 1071.405
| [[13/7]]
|  
|-
|-
| | 32
| 30
| | 1182.24
| 1108.35
| [[36/19]]
|  
|-
|-
| | 33
| 31
| | 1219.185
| 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
|
|}
|}
{{todo|expand}}
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