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{{Infobox ET}}
{{todo|improve synopsis|text=Make the synopsis longer, add a couple paragraphs about the practical music making properties of the tuning}}
'''30EDF''' is the [[EDF|equal division of the just perfect fifth]] into 30 parts of 23.3985 [[cent|cents]] each, corresponding to 51.2853 [[edo]] (practically identical to every seventh step of [[359edo]]).
'''30EDF''' is the [[EDF|equal division of the just perfect fifth]] into 30 parts of 23.3985 [[cent|cents]] each, corresponding to 51.2853 [[edo]] (practically identical to every seventh step of [[359edo]]).
==Harmonics==
{{Harmonics in equal|30|3|2|intervals=prime}}
{{Harmonics in equal|30|3|2|intervals=prime|start=12|collapsed=1}}


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable mw-collapsible"
|+ Intervals of 30edf
|-
|-
! | degree
! | degree
Line 9: Line 16:
! | comments
! | comments
|-
|-
| | 0
| colspan="2"| 0
| | 0.0000
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
Line 20: Line 26:
|-
|-
| | 2
| | 2
| | 46.7970
| | 46.797
| | 77/75
| | 77/75
| |  
| |  
Line 30: Line 36:
|-
|-
| | 4
| | 4
| | 93.5940
| | 93.594
| | [[19/18]]
| | [[19/18]]
| |  
| |  
Line 40: Line 46:
|-
|-
| | 6
| | 6
| | 140.3910
| | 140.391
| | [[13/12]]
| | [[13/12]]
| |  
| |  
Line 50: Line 56:
|-
|-
| | 8
| | 8
| | 187.1880
| | 187.188
| | 39/35
| | 39/35
| |  
| |  
Line 60: Line 66:
|-
|-
| | 10
| | 10
| | 233.9850
| | 233.985
| | [[8/7]]
| | [[8/7]]
| |  
| |  
Line 70: Line 76:
|-
|-
| | 12
| | 12
| | 280.7820
| | 280.782
| | [[20/17]]
| | [[20/17]]
| |  
| |  
Line 80: Line 86:
|-
|-
| | 14
| | 14
| | 327.5790
| | 327.579
| | 29/24
| | 29/24
| |  
| |  
Line 90: Line 96:
|-
|-
| | 16
| | 16
| | 374.3760
| | 374.376
| | 36/29
| | 36/29
| |  
| |  
Line 100: Line 106:
|-
|-
| | 18
| | 18
| | 421.1730
| | 421.173
| | [[51/40]]
| | [[51/40]]
| |  
| |  
Line 110: Line 116:
|-
|-
| | 20
| | 20
| | 467.9700
| | 467.97
| | [[21/16]]
| | [[21/16]]
| |  
| |  
Line 120: Line 126:
|-
|-
| | 22
| | 22
| | 514.7670
| | 514.767
| | 35/26
| | 35/26
| |  
| |  
Line 130: Line 136:
|-
|-
| | 24
| | 24
| | 561.5640
| | 561.564
| | [[18/13]]
| | [[18/13]]
| |  
| |  
Line 140: Line 146:
|-
|-
| | 26
| | 26
| | 608.3610
| | 608.361
| | 27/19
| | 27/19
| |  
| |  
Line 150: Line 156:
|-
|-
| | 28
| | 28
| | 655.1580
| | 655.158
| |  
| |  
| |  
| |  
Line 156: Line 162:
| | 29
| | 29
| | 678.5565
| | 678.5565
| |  
| |40/27
| |  
| |  
|-
|-
| | 30
| | 30
| | 701.9550
| | 701.955
| | '''exact [[3/2]]'''
| | '''exact [[3/2]]'''
| | just perfect fifth
| | just perfect fifth
|-
|31
|725.3535
|38/25
|
|-
|32
|748.752
|77/50
|
|-
|33
|772.1505
|25/16
|
|-
|34
|795.549
|19/12
|
|-
|35
|818.9475
|45/28
|
|-
|36
|842.346
|13/8
|
|-
|37
|865.7445
|33/20
|
|-
|38
|889.143
|117/70
|
|-
|39
|912.8415
|105/62
|
|-
|40
|935.94
|12/7
|
|-
|41
|959.3385
|87/50
|
|-
|42
|982.737
|30/17
|
|-
|43
|1006.1355
|93/52
|
|-
|44
|1028.534
|29/16
|
|-
|45
|1052.9325
|90/49, 147/80
|
|-
|46
|1076.331
|48/29
|
|-
|47
|1099.6995
|117/62
|
|-
|48
|1123.128
|153/80
|
|-
|49
|1146.5165
|
|
|-
|50
|1169.925
|63/32
|
|-
|51
|1193.3435
|
|
|-
|52
|1215.722
|105/52
|
|-
|53
|1240.1205
|45/22
|
|-
|54
|1263.519
|27/13
|
|-
|55
|1286.9175
|21/10
|
|-
|56
|1310.316
|81/38
|
|-
|57
|1333.7145
|54/25
|
|-
|58
|1357.113
|
|
|-
|59
|1380.5115
|20/9
|
|-
|60
|1403.91
|'''exact''' 9/4
|
|}
|}
[[Category:Edf]]
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/30edf"