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'''[[EDF|Division of the just perfect fifth]] into 45 equal parts''' (45EDF) is related to [[77edo|77 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 1.1230 cents stretched and the step size is about 15.5990 cents. The patent val has a generally sharp tendency for harmonics up to 16, with the exception for 11.
{{Infobox ET}}
'''[[EDF|Division of the just perfect fifth]] into 45 equal parts''' (45EDF) is related to [[77edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The octave is [[Octave stretch|stretched]] by about 1.123 [[cents]] and the step size is about 15.599 cents.  
 
The [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 16, with the exception for 11.


Lookalikes: [[77edo]], [[122edt]]
Lookalikes: [[77edo]], [[122edt]]


[[Category:Edf]]
== Harmonics ==
[[Category:Edonoi]]
{{Harmonics in equal|45|3|2|intervals=prime|columns=9}}
{{Harmonics in equal|45|3|2|intervals=prime|columns=9|start=10|collapsed=1}}
 
== Intervals ==
{| class="wikitable"
|-
! |Degree
! |Cents
Value
! |Approximate Ratios
in the 13-limit
|-
| colspan="2" style="text-align:right;" |0
| style="text-align:center;" |1/1
|-
|1
|15.599
|81/80, 99/98
|-
|2
|31.198
|64/63, 49/48
|-
|3
|46.797
|33/32, 36/35
|-
|4
|62.396
|28/27, 27/26, 26/25
|-
|5
|77.995
|21/20, 22/21, 25/24
|-
|6
|93.594
|135/128
|-
|7
|109.193
|16/15
|-
|8
|124.792
|15/14, 14/13
|-
|9
|140.391
|13/12
|-
|10
|155.99
|12/11, 11/10
|-
|11
|171.589
|72/65
|-
|12
|187.188
|10/9
|-
|13
|202.787
|9/8
|-
|14
|218.386
|256/225
|-
|15
|233.985
|8/7
|-
|16
|249.584
|15/13
|-
|17
|265.183
|7/6
|-
|18
|280.782
|33/28
|-
|19
|296.381
|32/27, 13/11
|-
|20
|311.98
|6/5
|-
|21
|327.579
|98/81
|-
|22
|343.178
|11/9, 39/32
|-
|23
|358.777
|16/13
|-
|24
|374.376
|56/45, 26/21
|-
|25
|389.975
|5/4
|-
|26
|405.574
|33/26, 81/64
|-
|27
|420.173
|14/11, 32/25
|-
|28
|436.772
|9/7
|-
|29
|452.371
|13/10
|-
|30
|467.97
|21/16
|-
|31
|483.569
|120/91
|-
|32
|499.168
|4/3
|-
|33
|514.767
|27/20
|-
|34
|530.366
|49/36
|-
|35
|545.965
|11/8, 15/11
|-
|36
|561.564
|18/13
|-
|37
|577.163
|7/5
|-
|38
|592.762
|45/32
|-
|39
|608.361
|64/45
|-
|40
|623.96
|10/7
|-
|41
|639.559
|13/9
|-
|42
|655.158
|16/11, 22/15
|-
|43
|670.757
|72/49
|-
|44
|686.356
|40/27
|-
|45
|701.955
|3/2
|-
|46
|717.554
|91/60
|-
|47
|733.153
|32/21
|-
|48
|748.752
|20/13
|-
|49
|764.351
|14/9
|-
|50
|779.95
|11/7, 25/16
|-
|51
|795.549
|52/33, 128/81
|-
|52
|818.148
|8/5
|-
|53
|826.747
|45/28, 21/13
|-
|54
|842.346
|13/8
|-
|55
|857.945
|18/11, 64/39
|-
|56
|873.544
|81/49
|-
|57
|889.143
|5/3
|-
|58
|904.742
|27/16, 22/13
|-
|59
|920.341
|56/33
|-
|60
|935.84
|12/7
|-
|61
|951.539
|26/15
|-
|62
|967.138
|7/4
|-
|63
|982.737
|225/128
|-
|64
|998.336
|16/9
|-
|65
|1013.935
|9/5
|-
|66
|1029.534
|65/36
|-
|67
|1045.133
|11/6, 20/11
|-
|68
|1060.732
|24/13
|-
|69
|1076.331
|28/15
|-
|70
|1091.93
|15/8
|-
|71
|1107.529
|256/135
|-
|72
|1123.128
|40/21, 48/25
|-
|73
|1138.727
|27/14, 25/13
|-
|74
|1154.326
|64/33, 35/18
|-
|75
|1169.925
|63/32, 96/49
|-
|76
|1185.524
|160/81, 196/99
|-
|77
|1201.123
|/1
|-
|78
|1216.722
|81/40, 99/49
|-
|79
|1232.321
|128/63, 49/24
|-
|80
|1247.92
|33/16, 72/35
|-
|81
|1263.519
|56/27, 27/13, 52/25
|-
|82
|1279.118
|21/10, 44/21,25/12
|-
|83
|1294.717
|135/64
|-
|84
|1310.316
|32/15
|-
|85
|1325.915
|15/7, 28/13
|-
|86
|1341.514
|13/6
|-
|87
|1357.113
|24/11, 11/5
|-
|88
|1372.712
|144/65
|-
|89
|1388.311
|20/9
|-
|90
|1403.91
|9/4
|}
 
{{todo|expand}}
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