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'''[[EDF|Division of the just perfect fifth]] into 51 equal parts''' (51EDF) is related to [[87edo|87 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents compressed and the step size is about 13.7638 cents (corresponding to 87.1851 edo). Unlike 87edo, it is only consistent up to the [[5-odd-limit|6-integer-limit]], with discrepancy for the 7th harmonic.
{{Infobox ET}}
'''[[EDF|Division of the just perfect fifth]] into 51 equal parts''' (51EDF) is related to [[87edo|87 edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The octave is [[Octave shrinking|compressed]] by about 2.5474 [[cents]] and the step size is about 13.7638 cents (corresponding to 87.1851 edo).  
 
Unlike 87edo, it is only [[consistent]] up to the 6-[[integer-limit]], with discrepancy for the 7th harmonic.


Lookalikes: [[87edo]], [[138edt]]
Lookalikes: [[87edo]], [[138edt]]


[[Category:Edf]]
== Harmonics ==
[[Category:Edonoi]]
{{Harmonics in equal|51|3|2|intervals=prime}}
{{Harmonics in equal|51|3|2|intervals=prime|start=12|collapsed=1}}
 
== Intervals ==
{| class="wikitable"
|-
! |Degree
! |Cents
|-
| colspan="2" style="text-align:center;" |0
|-
|1
|13.7638
|-
|2
|27.52765
|-
|3
|41.2915
|-
|4
|55.0555
|-
|5
|68.8191
|-
|6
|82.5829
|-
|7·
|96.3468
|-
|8
|110.1106
|-
|9
|123.8744
|-
|10
|137.6382
|-
|11
|151.0206
|-
|12·
|165.1659
|-
|13
|178.9297
|-
|14
|192.6935
|-
|15
|206.45735
|-
|16
|220.2212
|-
|17·
|233.985
|-
|18
|248.7488
|-
|19
|261.51265
|-
|20
|275.2765
|-
|21
|289.0403
|-
|22·
|302.8041
|-
|23
|316.5679
|-
|24
|330.3318
|-
|25
|344.0955
|-
|26
|357.8594
|-
|27
|371.6232
|-
|28
|385.3871
|-
|29
|399.1509
|-
|30
|412.9147
|-
|31
|426.6785
|-
|32
|440.44253
|-
|33
|455.2062
|-
|34
|467.97
|-
|35
|481.7338
|-
|36
|495.49765
|-
|37
|509.2615
|-
|38
|523.0253
|-
|39
|536.7891
|-
|40
|550.5529
|-
|41
|564.3168
|-
|42
|578.0806
|-
|43
|591.8444
|-
|44
|605.6082
|-
|45
|619.3721
|-
|46
|633.1359
|-
|47
|646.8997
|-
|48
|660.6635
|-
|49
|674.42735
|-
|50
|688.1912
|-
|51
|701.955
|-
|52
|715.7188
|-
|53
|729.48365
|-
|54
|743.2465
|-
|55
|757.0103
|-
|56
|770.7741
|-
|57
|784.5379
|-
|58
|798.3018
|-
|59
|812.0656
|-
|60
|825.8294
|-
|61
|839.5932
|-
|62
|853.3571
|-
|63
|867.1209
|-
|64
|880.8847
|-
|65
|894.6485
|-
|66
|908.41235
|-
|67
|922.1762
|-
|68
|935.94
|-
|69
|949.7038
|-
|70
|963.46765
|-
|71
|977.2315
|-
|72
|990.9952
|-
|73
|1004.7591
|-
|74
|1018.5229
|-
|75
|1032.32868
|-
|76
|1046.0506
|-
|77
|1059.8144
|-
|78
|1073.5782
|-
|79
|1087.3421
|-
|80
|1101.1059
|-
|81
|1114.8697
|-
|82
|1128.6335
|-
|83
|1142.39735
|-
|84
|1156.1612
|-
|85
|1169.925
|-
|86
|1183.6888
|-
|87
|1197.45265
|-
|88
|1211.2165
|-
|89
|1224.9803
|-
|90
|1238.7441
|-
|91
|1252.5079
|-
|92
|1266.2718
|-
|93
|1280.0356
|-
|94
|1293.7994
|-
|95
|1307.5632
|-
|96
|1321.3271
|-
|97
|1335.0909
|-
|98
|1348.8547
|-
|99
|1362.6185
|-
|100
|1376.3824
|-
|101
|1390.1462
|-
|102
|1403.91
|}
 
{{todo|inline=1|complete table|text=Add a third column that comments on the intervals, either what [[JI]] they approximate, what they are named, or how they can be used musically.}}
 
{{todo|expand}}
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