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'''25EDF''' is the [[EDF|equal division of the just perfect fifth]] into 25 parts of 28.0782 [[cent|cents]] each, corresponding to 42.7378 [[edo]] (similar to every fourth step of [[171edo]]). It is related to the regular temperament which tempers out 703125/702464 and 5250987/5242880 in the 7-limit, which is supported by [[43edo]], [[128edo]], [[171edo]], [[214edo]], [[299edo]], and [[385edo]].
{{Infobox ET}}
{{ED intro}} It corresponds to 42.7378 [[edo]] (similar to every fourth step of [[171edo]]).  
 
It is related to the regular temperament which tempers out 703125/702464 and 5250987/5242880 in the 7-limit, which is supported by [[43edo]], [[128edo]], [[171edo]], [[214edo]], [[299edo]], and [[385edo]].


Lookalikes: [[43edo]], [[68edt]]
Lookalikes: [[43edo]], [[68edt]]


==Intervals==
== Harmonics ==
{| class="wikitable"
{{Harmonics in equal|25|3|2|intervals=prime}}
{{Harmonics in equal|25|3|2|start=12|collapsed=1|intervals=prime}}
 
== Intervals ==
{| class="wikitable mw-collapsible"
|+ style="font-size: 105%;" | Intervals of 25edf
|-
! Degree
! Cents
! Corresponding<br />JI intervals
! Comments
|-
| colspan="2" | 0
| '''exact [[1/1]]'''
|
|-
| 1
| 28.0782
| 51/50
|
|-
| 2
| 56.1564
| 26/25
|
|-
| 3
| 84.2346
| [[21/20]]
|
|-
| 4
| 112.3128
| [[16/15]]
|
|-
| 5
| 140.391
| 13/12
|
|-
| 6
| 168.4692
|
|
|-
| 7
| 196.5474
| [[28/25]]
|
|-
| 8
| 224.6256
| 8/7
|
|-
| 9
| 252.7038
|
|
|-
| 10
| 280.782
| [[20/17]]
|
|-
| 11
| 308.8602
|
| pseudo-[[6/5]]
|-
| 12
| 336.9384
|
|
|-
| 13
| 365.0166
|
|
|-
| 14
| 393.0948
|
| pseudo-[[5/4]]
|-
| 15
| 421.173
| 51/40
|
|-
| 16
| 449.2512
|
|
|-
| 17
| 477.3294
|
|
|-
| 18
| 505.4076
| 75/56
| pseudo-[[4/3]]
|-
| 19
| 533.4858
|
|
|-
| 20
| 561.564
|
|
|-
| 21
| 589.6422
| [[45/32]]
|
|-
| 22
| 617.7204
| [[10/7]]
|
|-
| 23
| 645.7986
|
|
|-
|-
! | degree
| 24
! | cents value
| 673.8768
! | corresponding <br>JI intervals
|  
! | comments
|  
|-
|-
| | 0
| 25
| | 0.0000
| 701.955
| | '''exact [[1/1]]'''
| '''exact [[3/2]]'''
| |
| just perfect fifth
|-
|-
| | 1
| 26
| | 28.0782
| 730.033
| |
| 153/100
| |  
|  
|-
|-
| | 2
| 27
| | 56.1564
| 757.1114
| |
| 39/25
| |  
|  
|-
|-
| | 3
| 28
| | 84.2346
| 786.1896
| | [[21/20]]
| 63/40
| |  
|  
|-
|-
| | 4
| 29
| | 112.3128
| 814.2678
| | [[16/15]]
| 8/5
| |  
|  
|-
|-
| | 5
| 30
| | 140.3910
| 842.346
| |
| 13/8
| |  
|  
|-
|-
| | 6
| 31
| | 168.4692
| 870.2452
| |  
|  
| |  
|  
|-
|-
| | 7
| 32
| | 196.5474
| 898.5024
| | [[28/25]]
| 42/25
| |  
|  
|-
|-
| | 8
| 33
| | 224.6256
| 926.5806
| |
| 12/7
| |  
|  
|-
|-
| | 9
| 34
| | 252.7038
| 954.6588
| |  
|  
| |  
|  
|-
|-
| | 10
| 35
| | 280.7820
| 982.737
| | [[20/17]]
| 30/17
| |  
|  
|-
|-
| | 11
| 36
| | 308.8602
| 1010.8152
| |  
|  
| | pseudo-[[6/5]]
| pseudo-9/5
|-
|-
| | 12
| 37
| | 336.9384
| 1038.8934
| |  
|  
| |  
|  
|-
|-
| | 13
| 38
| | 365.0166
| 1066.9716
| |  
|  
| |  
|  
|-
|-
| | 14
| 39
| | 393.0948
| 1095.0498
| |  
|  
| | pseudo-[[5/4]]
| pseudo-15/8
|-
|-
| | 15
| 40
| | 421.1730
| 1123.128
| | 51/40
| 153/80
| |  
|  
|-
|-
| | 16
| 41
| | 449.2512
| 1151.2062
| |  
|  
| |  
|  
|-
|-
| | 17
| 42
| | 477.3294
| 1179.2844
| |  
|  
| |  
|  
|-
|-
| | 18
| 43
| | 505.4076
| 1207.3526
| | 75/56
| 225/112
| | pseudo-[[4/3]]
| pseudo-2/1
|-
|-
| | 19
| 44
| | 533.4858
| 1235.4408
| |  
|  
| |  
|  
|-
|-
| | 20
| 45
| | 561.5640
| 1263.519
| |  
|  
| |  
|  
|-
|-
| | 21
| 46
| | 589.6422
| 1291.5972
| | [[45/32]]
| 135/64
| |  
|  
|-
|-
| | 22
| 47
| | 617.7204
| 1319.6754
| | [[10/7]]
| 15/7
| |  
|  
|-
|-
| | 23
| 48
| | 645.7986
| 1347.7536
| |  
|  
| |  
|  
|-
|-
| | 24
| 49
| | 673.8768
| 1375.8318
| |  
|  
| |  
|  
|-
|-
| | 25
| 50
| | 701.9550
| 1403.91
| | '''exact [[3/2]]'''
| '''exact''' 9/4
| | just perfect fifth
|  
|}
|}


[[Category:Edf]]
{{todo|expand}}
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/25edf"