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


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