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| '''[[EDF|Division of the just perfect fifth]] into 28 equal parts''' (28EDF) is related to [[48edo|48 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 25.0698 cents (corresponding to 47.8663 [[edo]]). It is related to the regular temperament which tempers out |187 -159 28> in the 5-limit; 6656/6655, 256000/255879, and 38671875/38614472 in the 13-limit (2.3.5.11.13 subgroup), which is supported by 335, [[383edo|383]], 718, [[1053edo|1053]], and 1101 EDOs. | | {{Infobox ET}} |
| | '''[[EDF|Division of the just perfect fifth]] into 28 equal parts''' (28EDF) is related to [[48edo|48 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 25.0698 cents (corresponding to 47.8663 [[edo]]). |
| | |
| | It is related to the regular temperament which tempers out |187 -159 28> in the 5-limit; [[6656/6655]], [[256000/255879]], and [[38671875/38614472]] in the 13-limit (2.3.5.11.13 subgroup), which is supported by {{EDOs| 335, 383, 718, 1053, and 1101}} EDOs. |
| | |
| | == Harmonics == |
| | {{Harmonics in equal|28|3|2|intervals=prime}} |
|
| |
|
| == Intervals == | | == Intervals == |
| {| class="wikitable" | | {{Interval table}} |
| !
| | |
| !ed31\54 (~49edo!)
| | |
| !ed121/81
| | {{stub}} |
| !ed3/2
| |
| !Golden (~ed10\17)
| |
| !ed34\57 (~47edo!)
| |
| |-
| |
| |1
| |
| |24.6032
| |
| |24.81485
| |
| |25.0698
| |
| |25.2091
| |
| |25.5639
| |
| |-
| |
| |2
| |
| |49.20635
| |
| |49.6297
| |
| |50.1396
| |
| |50.41825
| |
| |51.1278
| |
| |-
| |
| |3
| |
| |73.8095
| |
| |74.4446
| |
| |75.2095
| |
| |75.6274
| |
| |76.6917
| |
| |-
| |
| |4
| |
| |98.4127
| |
| |99.2594
| |
| |100.2793
| |
| |100.8365
| |
| |102.2556
| |
| |-
| |
| |5
| |
| |123.0159
| |
| |124.0743
| |
| |125.3491
| |
| |10\26.0456
| |
| |127.81955
| |
| |-
| |
| |6
| |
| |147.61905
| |
| |148.8891
| |
| |150.4189
| |
| |151.2547
| |
| |153.3835
| |
| |-
| |
| |7
| |
| |172.2222
| |
| |173.704
| |
| |175.48875
| |
| |176.4639
| |
| |178.947
| |
| |-
| |
| |8
| |
| |196.8254
| |
| |198.5188
| |
| |200.5586
| |
| |201.673
| |
| |204.5113
| |
| |-
| |
| |9
| |
| |221.4286
| |
| |223.3337
| |
| |225.6284
| |
| |226.8821
| |
| |230.0752
| |
| |-
| |
| |10
| |
| |246.03175
| |
| |248.1485
| |
| |250.6982
| |
| |252.0912
| |
| |255.6391
| |
| |-
| |
| |11
| |
| |270.6349
| |
| |272.9634
| |
| |275.768
| |
| |277.3004
| |
| |281.203
| |
| |-
| |
| |12
| |
| |295.2381
| |
| |297.782
| |
| |300.8379
| |
| |302.5095
| |
| |306.7669
| |
| |-
| |
| |13
| |
| |319.8413
| |
| |322.5931
| |
| |325.9077
| |
| |327.7186
| |
| |332.3308
| |
| |-
| |
| |14
| |
| |344.4444
| |
| |347.408
| |
| |350.9775
| |
| |352.9277
| |
| |357.8947
| |
| |-
| |
| |15
| |
| |369.0476
| |
| |372.2228
| |
| |376.0473
| |
| |378.13685
| |
| |383.45865
| |
| |-
| |
| |16
| |
| |393.6508
| |
| |397.03765
| |
| |401.1171
| |
| |403.346
| |
| |409.0226
| |
| |-
| |
| |17
| |
| |418.254
| |
| |421.8525
| |
| |426.187
| |
| |428.5551
| |
| |434.5865
| |
| |-
| |
| |18
| |
| |442.8571
| |
| |446.66735
| |
| |451.2568
| |
| |453.7642
| |
| |460.1504
| |
| |-
| |
| |19
| |
| |467.460
| |
| |471.4822
| |
| |476.3266
| |
| |478.97333
| |
| |485.7143
| |
| |-
| |
| |20
| |
| |492.0635
| |
| |496.2971
| |
| |501.3964
| |
| |504.1825
| |
| |511.2781
| |
| |-
| |
| |21
| |
| |516.6667
| |
| |521.1119
| |
| |526.46625
| |
| |529.3916
| |
| |536.8421
| |
| |-
| |
| |22
| |
| |541.2698
| |
| |545.9268
| |
| |551.536
| |
| |554.6007
| |
| |562.406
| |
| |-
| |
| |23
| |
| |565.873
| |
| |570.7416
| |
| |576.6059
| |
| |579.8098
| |
| |587.9699
| |
| |-
| |
| |24
| |
| |590.4762
| |
| |595.5565
| |
| |601.6757
| |
| |605.019
| |
| |613.5338
| |
| |-
| |
| |25
| |
| |615.0794
| |
| |620.3713
| |
| |626.7455
| |
| |630.2281
| |
| |639.0977
| |
| |-
| |
| |26
| |
| |639.6825
| |
| |645.1862
| |
| |651.8154
| |
| |655.4372
| |
| |664.66165
| |
| |-
| |
| |27
| |
| |664.2857
| |
| |670.001
| |
| |676.8852
| |
| |680.6463
| |
| |690.2256
| |
| |-
| |
| |28
| |
| |688.8889
| |
| |694.8158
| |
| |701.955
| |
| |705.85545
| |
| |715.7895
| |
| |-
| |
| |29
| |
| |713.4921
| |
| |719.6307
| |
| |727.0248
| |
| |731.0646
| |
| |741.3534
| |
| |-
| |
| |30
| |
| |738.0952
| |
| |744.4456
| |
| |752.0946
| |
| |756.2736
| |
| |766.9173
| |
| |-
| |
| |31
| |
| |762.6984
| |
| |769.2604
| |
| |777.1645
| |
| |781.4828
| |
| |792.4812
| |
| |-
| |
| |32
| |
| |787.3016
| |
| |794.0753
| |
| |802.2343
| |
| |806.6919
| |
| |818.0451
| |
| |-
| |
| |33
| |
| |811.9048
| |
| |818.89015
| |
| |827.3041
| |
| |831.9011
| |
| |843.609
| |
| |-
| |
| |34
| |
| |836.5079
| |
| |843.705
| |
| |852.3739
| |
| |857.1102
| |
| |869.1729
| |
| |-
| |
| |35
| |
| |861.1111
| |
| |868.51985
| |
| |877.44375
| |
| |882.3193
| |
| |894.7368
| |
| |-
| |
| |36
| |
| |885.7143
| |
| |893.3347
| |
| |902.5136
| |
| |907.5284
| |
| |920.30075
| |
| |-
| |
| |37
| |
| |910.3175
| |
| |918.1496
| |
| |927.5834
| |
| |932.3767
| |
| |945.8647
| |
| |-
| |
| |38
| |
| |934.9206
| |
| |942.9644
| |
| |952.6532
| |
| |957.9467
| |
| |971.4286
| |
| |-
| |
| |39
| |
| |959.5238
| |
| |967.7793
| |
| |977.723
| |
| |983.1558
| |
| |996.9925
| |
| |-
| |
| |40
| |
| |984.127
| |
| |992.5941
| |
| |1002.7929
| |
| |1008.3649
| |
| |1022.5564
| |
| |-
| |
| |41
| |
| |1008.7302
| |
| |1017.409
| |
| |1027.8627
| |
| |1033.57405
| |
| |1048.1203
| |
| |-
| |
| |42
| |
| |1033.333
| |
| |1042.2238
| |
| |1052.9325
| |
| |1058.7832
| |
| |1073.6842
| |
| |-
| |
| |43
| |
| |1057.9365
| |
| |1067.0386
| |
| |1078.0023
| |
| |1083.9923
| |
| |1099.2481
| |
| |-
| |
| |44
| |
| |1082.5397
| |
| |1091.8535
| |
| |1103.0721
| |
| |1109.2014
| |
| |1124.812
| |
| |-
| |
| |45
| |
| |1107.1429
| |
| |1116.6684
| |
| |1128.142
| |
| |1137.41055
| |
| |1150.3759
| |
| |-
| |
| |46
| |
| |1131.7646
| |
| |1141.4832
| |
| |1153.2118
| |
| |1159.6297
| |
| |1175.93985
| |
| |-
| |
| |47
| |
| |1156.3492
| |
| |1166.2981
| |
| |1178.2816
| |
| |1184.8288
| |
| |1201.5038
| |
| |-
| |
| |48
| |
| |1180.9524
| |
| |1191.1129
| |
| |1203.3514
| |
| |1210.0379
| |
| |1227.0677
| |
| |}
| |
| [[Category:Edf]]
| |
| [[Category:Edonoi]]
| |