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26edf: Difference between revisions

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{{Infobox ET}}
'''26EDF''' is the [[EDF|equal division of the just perfect fifth]] into 26 parts of 26.9983 [[cent|cents]] each, corresponding to 44.4473 [[edo]]. It is nearly identical to every ninth step of [[400edo]].
'''26EDF''' is the [[EDF|equal division of the just perfect fifth]] into 26 parts of 26.9983 [[cent|cents]] each, corresponding to 44.4473 [[edo]]. It is nearly identical to every ninth step of [[400edo]].
== Commas tempered by this tuning ==
7-limit: 50/49, 36/35, 126/125
11-limit: 56/55, 80/77, 99/98, 100/99, 128/121
17-limit: 52/51
Tempering out these commas results in the following equivalencies:
7/5~10/7
7/6~6/5
10/7~36/25
11/8~7/5
49/40~14/11
14/11~9/7
9/8~25/22
33/32~12/11
17/13~4/3
==Harmonics==
{{Harmonics in equal|26|3|2|columns=8}}
{{Harmonics in equal|26|3|2|columns=8|start=9|title=(contd.)}}


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable mw-collapsible"
|+ Intervals of 26edf
|-
|-
! | degree
! | degree
Line 9: Line 42:
! | comments
! | comments
|-
|-
| | 0
| colspan="2"| 0
| | 0.0000
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
Line 31: Line 63:
| | 4
| | 4
| | 107.9931
| | 107.9931
| |  
| |16/15
| |  
| |  
|-
|-
Line 61: Line 93:
| | 10
| | 10
| | 269.9827
| | 269.9827
| |  
| |7/6
| |  
| |  
|-
|-
| | 11
| | 11
| | 296.9810
| | 296.981
| | [[19/16]]
| | 32/27, [[19/16]]
| |  
| |  
|-
|-
Line 85: Line 117:
|-
|-
| | 15
| | 15
| | 404.9740
| | 404.974
| | [[24/19]]
| | [[24/19]]
| |  
| |  
Line 107: Line 139:
| | 512.9671
| | 512.9671
| | 121/90
| | 121/90
| |  
| |
|-
|-
| | 20
| | 20
Line 140: Line 172:
|-
|-
| | 26
| | 26
| | 701.9550
| | 701.955
| | '''exact [[3/2]]'''
| | '''exact [[3/2]]'''
| | just perfect fifth
| | just perfect fifth
|-
|27
|728.9533
|99/65, 195/128, 21/16
|
|-
|28
|755.9515
|99/64, 147/95
|
|-
|29
|782.9498
|11/7
|
|-
|30
|809.9481
|8/5
|
|-
|31
|836.9463
|
|
|-
|32
|863.9446
|
|
|-
|33
|890.9429
|405/242
|pseudo-5/3
|-
|34
|917.9412
|17/10
|
|-
|35
|944.9394
|
|
|-
|36
|971.9377
|7/4
|
|-
|37
|998.936
|16/9, 57/32
|
|-
|38
|1025.9342
|
|pseudo-9/5
|-
|39
|1052.9325
|90/49, 147/80
|
|-
|40
|1079.9308
|
|pseudo-15/8
|-
|41
|1106.929
|
|
|-
|42
|1133.9273
|
|
|-
|43
|1160.9256
|
|
|-
|44
|1187.9238
|135/98
|pseudo-2/1
|-
|45
|1214.9221
|121/60
|
|-
|46
|1241.9204
|
|
|-
|47
|1268.9187
|
|
|-
|48
|1295.9169
|
|
|-
|49
|1322.9152
|189/88
|
|-
|50
|1349.9135
|24/11
|
|-
|51
|1376.9117
|
|
|-
|52
|1403.91
|'''exact''' 9/4
|
|}
|}


[[Category:Edf]]
 
[[Category:Edonoi]]
{{stub}}
Retrieved from "https://en.xen.wiki/w/26edf"