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'''32EDF''' is the [[EDF|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out |127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs.
{{Infobox ET}}
{{ED intro}}
 
== Theory ==
32edf corresponds to 54.7044[[edo]], similar to every seventh step of [[383edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] {{monzo| 127 -127 32 }} in the [[5-limit]], which is supported by {{EDOs| 164-, 383-, 547-, 711-, 875-, and 1258edo }}.


Lookalikes: [[55edo]], [[87edt]]
Lookalikes: [[55edo]], [[87edt]]


==Intervals==
=== Harmonics ===
{| class="wikitable"
{{Harmonics in equal|32|3|2}}
{{Harmonics in equal|32|3|2|start=12|collapsed=1}}
 
== Intervals ==
{| class="wikitable mw-collapsible"
|+ Intervals of 32edf
|-
|-
! | degree
! | degree
Line 11: Line 20:
! | comments
! | comments
|-
|-
| | 0
| colspan="2"| 0
| | 0.0000
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
Line 28: Line 36:
| | 3
| | 3
| | 65.8083
| | 65.8083
| | [[27/26]]
| | [[27/26]], 28/27
| |  
| |  
|-
|-
Line 38: Line 46:
| | 5
| | 5
| | 109.6805
| | 109.6805
| | 49/46
| | 49/46, 16/15
| |  
| |  
|-
|-
Line 48: Line 56:
| | 7
| | 7
| | 153.5527
| | 153.5527
| | 59/54
| | 59/54, 18/11
| |  
| |  
|-
|-
Line 67: Line 75:
|-
|-
| | 11
| | 11
| | 241.2970
| | 241.297
| | (23/20)
| | (23/20)
| |  
| |  
Line 73: Line 81:
| | 12
| | 12
| | 263.2331
| | 263.2331
| |  
| |7/6
| |  
| |  
|-
|-
Line 108: Line 116:
| | 19
| | 19
| | 416.7858
| | 416.7858
| |  
| |14/11
| |  
| |  
|-
|-
| | 20
| | 20
| | 438.7219
| | 438.7219
| |  
| |9/7
| |  
| |  
|-
|-
Line 129: Line 137:
| | 504.5302
| | 504.5302
| | 87/65
| | 87/65
| |  
| |pseudo-4/3
|-
|-
| | 24
| | 24
Line 153: Line 161:
| | 28
| | 28
| | 614.2106
| | 614.2106
| |  
| |10/7
| |  
| |  
|-
|-
| | 29
| | 29
| | 636.1467
| | 636.1467
| | 39/27
| |13/9
| |  
| |  
|-
|-
Line 175: Line 183:
| | '''exact [[3/2]]'''
| | '''exact [[3/2]]'''
| | just perfect fifth
| | just perfect fifth
|-
|33
|723.8911
|243/160
|
|-
|34
|745.8372
|20/13
|
|-
|35
|766.7633
|81/52, 14/9
|
|-
|36
|790.6994
|
|
|-
|37
|811.6355
|147/92, 8/5
|
|-
|38
|833.5716
|123/76
|
|-
|39
|855.5077
|59/36, 18/11
|
|-
|40
|877.4438
|
|
|-
|41
|899.3798
|195/116
|
|-
|42
|922.3159
|63/37
|
|-
|43
|943.252
|69/40
|
|-
|44
|965.1881
|7/4
|
|-
|45
|987.1242
|
|
|-
|46
|1009.0603
|351/196
|
|-
|47
|1030.9964
|78/43
|
|-
|48
|1052.9325
|90/49, 147/80
|
|-
|49
|1076.8686
|387/208
|
|-
|50
|1096.847
|147/78
|
|-
|51
|1118.7408
|21/11
|
|-
|52
|1140.6769
|27/14
|
|-
|53
|1162.613
|45/23
|
|-
|54
|1184.5451
|111/56
|
|-
|55
|1206.4852
|261/130
|pseudo-2/1
|-
|56
|1228.4213
|61/30
|
|-
|57
|1250.3575
|243/118
|
|-
|58
|1272.2934
|171/82
|
|-
|59
|1294.2395
|207/98
|
|-
|60
|1316.1656
|15/7
|
|-
|61
|1338.1017
|13/6
|
|-
|62
|1360.0378
|351/160
|
|-
|63
|1381.9739
|20/9
|
|-
|64
|1403.91
|'''exact''' 9/4
|
|}
|}


[[Category:Edf]]
{{Todo|cleanup|expand}}
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/32edf"