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39edf: Difference between revisions

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{{Infobox ET}}
'''39EDF''' is the [[EDF|equal division of the just perfect fifth]] into 39 parts of 17.9988 [[cent|cents]] each, corresponding to 66.6709 [[edo]]. It is nearly identical to every third step of [[200edo]].
'''39EDF''' is the [[EDF|equal division of the just perfect fifth]] into 39 parts of 17.9988 [[cent|cents]] each, corresponding to 66.6709 [[edo]]. It is nearly identical to every third step of [[200edo]].
== Harmonics ==
{{Harmonics in equal|39|3|2}}
{{Harmonics in equal|39|3|2|start=12|collapsed=1}}


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable mw-collapsible"
|+ Intervals of 39edf
|-
|-
! | degree
! | degree
Line 9: Line 15:
! | comments
! | comments
|-
|-
| | 0
| colspan="2"| 0
| | 0.0000
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
Line 41: Line 46:
| | 6
| | 6
| | 107.9931
| | 107.9931
| |  
| |16/15
| |  
| |  
|-
|-
Line 61: Line 66:
| | 10
| | 10
| | 179.9885
| | 179.9885
| |  
| |10/9
| |  
| |  
|-
|-
Line 75: Line 80:
|-
|-
| | 13
| | 13
| | 233.9850
| | 233.985
| |  
| |8/7
| |  
| |  
|-
|-
Line 86: Line 91:
| | 15
| | 15
| | 269.9827
| | 269.9827
| |  
| |7/6
| |  
| |  
|-
|-
Line 101: Line 106:
| | 18
| | 18
| | 323.9792
| | 323.9792
| |  
| |6/5
| | pseudo-[[6/5]]
| |
|-
|-
| | 19
| | 19
Line 117: Line 122:
| | 377.9758
| | 377.9758
| |  
| |  
| | pseudo-[[5/4]]
| | lower pseudo-[[5/4]]
|-
|-
| | 22
| | 22
| | 395.9746
| | 395.9746
| |  
| |  
| |  
| |upper pseudo-[[5/4]]
|-
|-
| | 23
| | 23
Line 131: Line 136:
| | 24
| | 24
| | 431.9723
| | 431.9723
| |  
| |9/7
| |  
| |  
|-
|-
Line 140: Line 145:
|-
|-
| | 26
| | 26
| | 467.9700
| | 467.97
| |  
| |  
| |  
| |  
Line 151: Line 156:
| | 28
| | 28
| | 503.9677
| | 503.9677
| |  
| |4/3
| | pseudo-[[4/3]]
| |
|-
|-
| | 29
| | 29
| | 521.9665
| | 521.9665
| |  
| |27/20
| |  
| |  
|-
|-
Line 181: Line 186:
| | 34
| | 34
| | 611.9608
| | 611.9608
| |  
| |64/45
| |  
| |  
|-
|-
Line 192: Line 197:
| | 647.9585
| | 647.9585
| | [[16/11]]
| | [[16/11]]
| |  
| |pseudo-36/25
|-
|-
| | 37
| | 37
Line 201: Line 206:
| | 38
| | 38
| | 683.9562
| | 683.9562
| | 95/64, 49/33
| | 95/64, 49/33, 297/200, 40/27
| |  
| |  
|-
|-
| | 39
| | 39
| | 701.9550
| | 701.955
| | '''exact [[3/2]]'''
| | '''exact [[3/2]]'''
| | just perfect fifth
| | just perfect fifth
|-
|40
|720.9388
|50/33, 297/196, 144/95
|
|-
|41
|737.9527
|75/49, 49/32
|
|-
|42
|755.9515
|99/64
|
|-
|43
|773.9504
|25/16, 36/23
|
|-
|44
|791.9492
|
|
|-
|45
|809.9481
|8/5
|
|-
|46
|827.9469
|
|
|-
|47
|845.9458
|75/46
|
|-
|48
|863.9446
|
|
|-
|49
|881.9435
|5/3
|
|-
|50
|899.9423
|
|
|-
|51
|917.9412
|17/10
|
|-
|52
|935.94
|12/7
|
|-
|53
|954.9388
|
|
|-
|54
|971.9377
|7/4
|
|-
|55
|989.9365
|39/22
|
|-
|56
|1007.9354
|34/19
|
|-
|57
|1025.9342
|9/5
|
|-
|58
|1043.9331
|117/64
|
|-
|59
|1061.9319
|24/13
|
|-
|60
|1079.9308
|
|lower pseudo-15/8
|-
|61
|1097.9296
|
|upper pseudo-15/8
|-
|62
|1115.9285
|99/52
|
|-
|63
|1134.9273
|27/14
|
|-
|64
|1151.9261
|
|
|-
|65
|1169.925
|49/25
|
|-
|66
|1187.9238
|135/68
|
|-
|67
|1205.9227
|2/1
|
|-
|68
|1223.9215
|81/40
|
|-
|69
|1241.9204
|
|
|-
|70
|1259.9192
|
|
|-
|71
|1277.9181
|
|
|-
|72
|1295.9169
|
|
|-
|73
|1313.9158
|32/15
|
|-
|74
|1331.9146
|69/32, 54/25
|
|-
|75
|1349.9135
|24/11
|pseudo-54/25
|-
|76
|1367.9123
|108/49
|
|-
|77
|1385.9112
|285/128, 49/22, 891/400, 20/9
|
|-
|78
|1403.91
|'''exact''' 9/4
|
|}
|}


[[Category:Edf]]
{{todo|expand}}
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/39edf"