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{{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 335, [[383edo|383]], 718, [[1053edo|1053]], and 1101 EDOs.
'''[[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, [[Tel:256000/255879|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.


== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |
! rowspan="2" |
! rowspan="2" |''ed233\420-5¢ (~101ed4!)''
! rowspan="2" |ed31\54 (~49edo!)
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed696¢
! rowspan="2" |ed32\55
! rowspan="2" |[[48edo]]=''r¢''
! rowspan="2" |ed3/2
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! rowspan="2" |ed708¢
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57 (~47edo!)
! rowspan="2" |''ed37\60+5¢ (~91ed4!)''
|-
|-
!(~ed17\29)
 
!(~ed10\17)
|-
|-
|1
|1
|''23.5969-23.7755''
|24.6032
|24.81485
|24.8571
|24.9351
|''25''
|25.0698
|25.0698
|25.1299
|25.2091
|25.2857
|25.3234
|25.5639
|''26.4286-26.6071''
|-
|-
|2
|2
|''47.1939-47.551''
|49.20635
|49.6297
|49.7143
|49.8701
|''50''
|50.1396
|50.1396
|50.2597
|50.41825
|50.5714
|50.6475
|51.1278
|''52.8571-53.2143''
|-
|-
|3
|3
|''70.7908-71.3625''
|73.8095
|74.4446
|74.5714
|74.8052
|''75''
|75.2095
|75.2095
|75.3896
|75.6274
|75.8571
|75.9712
|76.6917
|''79.2857-79.8574''
|-
|-
|4
|4
|''94.3878-95.102''
|98.4127
|99.2594
|99.4286
|99.7403
|''100''
|100.2793
|100.2793
|100.5194
|100.8365
|101.1429
|101.295
|102.2556
|''105.7143-106.4286''
|-
|-
|5
|5
|''117.9847-118.87755''
|123.0159
|124.0743
|124.2857
|124.6753
|''125''
|125.3491
|125.3491
|125.6493
|126.0456
|126.4286
|126.6187
|127.81955
|''132.1429-133.0357''
|-
|-
|6
|6
|''141.5816-142.653''
|147.61905
|148.8891
|149.1429
|149.6104
|''150''
|150.4189
|150.4189
|150.77915
|151.2547
|151.7143
|151.9425
|153.3835
|''158.5714-159.6429''
|-
|-
|7
|7
|''165.1786-166.4286''
|172.2222
|173.704
|174
|174.54545
|''175''
|175.48875
|175.48875
|175.909
|176.4639
|177
|177.2662
|178.947
|''185-186.25''
|-
|-
|8
|8
|''188.7755-190.2041''
|196.8254
|198.5188
|198.8571
|199.4805
|''200''
|200.5586
|200.5586
|201.0389
|201.673
|202.2857
|202.5899
|204.5113
|''211.4286-212.8571''
|-
|-
|9
|9
|''212.3724-213.9796''
|221.4286
|223.3337
|223.7143
|224.4156
|''225''
|225.6284
|225.6284
|226.1687
|226.8821
|227.5714
|227.9137
|230.0752
|''237.8571-239.4643''
|-
|-
|10
|10
|''235.9694-237.7551''
|246.03175
|248.1485
|248.5714
|249.35065
|''250''
|250.6982
|250.6982
|251.2986
|252.0912
|252.8571
|253.2374
|255.6391
|''264.2857-266.0714''
|-
|-
|11
|11
|''259.5663-261.5306''
|270.6349
|272.9634
|273.4286
|274.2857
|''275''
|275.768
|275.768
|276.4284
|277.3004
|278.1429
|278.5612
|281.203
|''290.7143-292.6786''
|-
|-
|12
|12
|''283.1633-285.3061''
|295.2381
|297.782
|298.2857
|299.2208
|''300''
|300.8379
|300.8379
|301.5583
|302.5095
|303.4286
|303.8849
|306.7669
|''317.1429-319.2857''
|-
|-
|13
|13
|''306.7602-309.0816''
|319.8413
|322.5931
|323.1429
|324.1558
|''325''
|325.9077
|325.9077
|326.6682
|327.7186
|328.7143
|329.2087
|332.3308
|''343.5714-345.8929''
|-
|-
|14
|14
|''330.3571-332.857''1
|344.4444
|347.408
|348
|349.0909
|''350''
|350.9775
|350.9775
|351.818
|352.9277
|354
|354.5324
|357.8947
|''370-372.5''
|-
|-
|15
|15
|''353.9541-356.63265''
|369.0476
|372.2228
|372.8571
|374.026
|''375''
|376.0473
|376.0473
|376.9479
|378.13685
|379.2857
|379.8561
|383.45865
|''396.4286-399.1071''
|-
|-
|16
|16
|''377.551-380.4082''
|393.6508
|397.03765
|397.7143
|398.961
|''400''
|401.1171
|401.1171
|402.0777
|403.346
|404.5714
|405.1799
|409.0226
|''422.8571-425.7143''
|-
|-
|17
|17
|''401.148-404.1837''
|418.254
|421.8525
|422.5714
|423.8961
|''425''
|426.187
|426.187
|427.2076
|428.5551
|429.8571
|430.5036
|434.5865
|''449.5714-452.3214''
|-
|-
|18
|18
|''424.7449-427.9592''
|442.8571
|446.66735
|447.4286
|448.8312
|''450''
|451.2568
|451.2568
|452.33745
|453.7642
|455.1429
|455.8274
|460.1504
|''475.7143-478.9286''
|-
|-
|19
|19
|''448.3418-451.7347''
|467.460
|471.4822
|472.2857
|473.7662
|''475''
|476.3266
|476.3266
|477.4673
|478.97333
|480.4286
|481.1511
|485.7143
|''502.1429-505.5357''
|-
|-
|20
|20
|''471.9388-475.5102''
|492.0635
|496.2971
|497.1429
|498.7013
|''500''
|501.3964
|501.3964
|502.5972
|504.1825
|505.7143
|506.4749
|511.2781
|''528.5714-532.1429''
|-
|-
|21
|21
|''495.5357-499.2857''
|516.6667
|521.1119
|522
|523.6364
|''525''
|526.46625
|526.46625
|527.727
|529.3916
|531
|531.7986
|536.8421
|''555-558.75''
|-
|-
|22
|22
|''519.13265-523.0612''
|541.2698
|545.9268
|546.8571
|548.5714
|''550''
|551.536
|551.536
|552.8569
|554.6007
|556.2857
|557.1223
|562.406
|''581.4286-585.3571''
|-
|-
|23
|23
|''542.7296-546.8367''
|565.873
|570.7416
|571.4286
|573.5065
|''575''
|576.6059
|576.6059
|577.9867
|579.8098
|581.5714
|582.4461
|587.9699
|''607.8571-611.9643''
|-
|-
|24
|24
|''566.3265-570.6122''
|590.4762
|595.5565
|596.5714
|598.4416
|''600''
|601.6757
|601.6757
|603.1166
|605.019
|606.8571
|607.7698
|613.5338
|''634.2857-638.5714''
|-
|-
|25
|25
|''589.9235-594.3878''
|615.0794
|620.3713
|621.4286
|623.3766
|''625''
|626.7455
|626.7455
|628.2465
|630.2281
|632.1429
|633.0936
|639.0977
|''660.7143-665.1786''
|-
|-
|26
|26
|''613.5204-618.1633''
|639.6825
|645.1862
|646.2857
|648.3117
|''650''
|651.8154
|651.8154
|653.3763
|655.4372
|657.4286
|658.4173
|664.66165
|''687.1429-691.7857''
|-
|-
|27
|27
|''637.1173-641.9388''
|664.2857
|670.001
|671.1429
|673.24765
|''675''
|676.8852
|676.8852
|678.5062
|680.6463
|682.7143
|683.7411
|690.2256
|''713.5714-718.3929''
|-
|-
|28
|28
|''660.7143-665.714''3
|688.8889
|694.8158
|696
|698.1818
|''700''
|701.955
|701.955
|703.636
|705.85545
|708
|709.0648
|715.7895
|''740-745''
|-
|-
|29
|29
|''684.3112-689.4898''
|713.4921
|719.6307
|720.8571
|723.1169
|''725''
|727.0248
|727.0248
|728.7659
|731.0646
|733.2857
|734.3885
|741.3534
|''766.4286-771.6071''
|-
|-
|30
|30
|''707.9082-713.2653''
|738.0952
|744.4456
|745.7143
|748.05195
|''750''
|752.0946
|752.0946
|753.89575
|756.2736
|758.5714
|759.7123
|766.9173
|''792.8571-798.2143''
|-
|-
|31
|31
|''731.5051-737.0408''
|762.6984
|769.2604
|770.5714
|772.987
|''775''
|777.1645
|777.1645
|779.0256
|781.4828
|783.8571
|785.036
|792.4812
|''819.2857-824.8214''
|-
|-
|32
|32
|''755.102-760.8163''
|787.3016
|794.0753
|795.4286
|797.9221
|''800''
|802.2343
|802.2343
|804.1555
|806.6919
|809.1429
|810.3598
|818.0451
|''845.7143-851.4286''
|-
|-
|33
|33
|''778.699-784.5918''
|811.9048
|818.89015
|820.2857
|822.8571
|''825''
|827.3041
|827.3041
|829.2853
|831.9011
|834.4286
|835.6835
|843.609
|''872.1429-876.0357''
|-
|-
|34
|34
|''802.2959-808.36735''
|836.5079
|843.705
|845.1429
|847.7922
|''850''
|852.3739
|852.3739
|854.4152
|857.1102
|859.7143
|961.0073
|869.1729
|''898.5714-904.6429''
|-
|-
|35
|35
|''825.8929-832.1429''
|861.1111
|868.51985
|870
|872.7273
|''875''
|877.44375
|877.44375
|879.545
|882.3193
|885
|886.331
|894.7368
|''925-931.25''
|-
|-
|36
|36
|''849.4898-855.9184''
|885.7143
|893.3347
|894.8571
|897.6623
|''900''
|902.5136
|902.5136
|904.6749
|907.5284
|910.2857
|911.6547
|920.30075
|''951.4286-957.8571''
|-
|-
|37
|37
|''873.0867-879.6939''
|910.3175
|918.1496
|919.7143
|922.5974
|''925''
|927.5834
|927.5834
|929.8048
|932.3767
|935.5714
|936.9785
|945.8647
|''977.8571-984.4643''
|-
|-
|38
|38
|''896.6387-903.4694''
|934.9206
|942.9644
|944.5714
|947.5325
|''950''
|952.6532
|952.6532
|954.9346
|957.9467
|960.8571
|962.3022
|971.4286
|''1004.2857-1011.0714''
|-
|-
|39
|39
|''920.2806-927.2449''
|959.5238
|967.7793
|969.4286
|972.4675
|''975''
|977.723
|977.723
|980.0645
|983.1558
|986.1429
|987.626
|996.9925
|''1030.7143-1037.6786''
|-
|-
|40
|40
|''943.8776-951.0204''
|984.127
|992.5941
|994.2857
|997.4126
|''1000''
|1002.7929
|1002.7929
|1005.1943
|1008.3649
|1011.4286
|1012.9497
|1022.5564
|''1057.1429-1064.2857''
|-
|-
|41
|41
|''967.4745-974.7959''
|1008.7302
|1017.409
|1019.1429
|1022.3377
|''1025''
|1027.8627
|1027.8627
|1030.3242
|1033.57405
|1035.7143
|1038.2735
|1048.1203
|''1083.5714-1090.8929''
|-
|-
|42
|42
|''991.0714-998.5714''
|1033.333
|1042.2238
|1044
|1047.2727
|''1050''
|1052.9325
|1052.9325
|1055.454
|1058.7832
|1062
|1063.5972
|1073.6842
|''1110-1117.5''
|-
|-
|43
|43
|''1014.6684-1022.3469''
|1057.9365
|1067.0386
|1068.8571
|1072.2078
|''1075''
|1078.0023
|1078.0023
|1080.5839
|1083.9923
|1087.2857
|1088.92095
|1099.2481
|''1136.4286-1144.1071''
|-
|-
|44
|44
|''1038.2653-1046.12245''
|1082.5397
|1091.8535
|1093.7143
|1097.1429
|''1100''
|1103.0721
|1103.0721
|1105.7138
|1109.2014
|1112.5714
|1114.2447
|1124.812
|''1162.8571-1170.7143''
|-
|-
|45
|45
|''1061.8622-1069.898''
|1107.1429
|1116.6684
|1118.5714
|1122.0779
|''1125''
|1128.142
|1128.142
|1130.8436
|1134.41055
|1137.8571
|1139.5684
|1150.3759
|''1189.2857-1197.3214''
|-
|-
|46
|46
|''1085.4592-1093.6735''
|1131.7646
|1141.4832
|1143.4286
|1147.013
|''1150''
|1153.2118
|1153.2118
|1155.9735
|1159.6297
|1163.1429
|1164.8922
|1175.93985
|''1215.7143-1223.9286''
|-
|-
|47
|47
|''1109.0561-1117.449''
|1156.3492
|1166.2981
|1168.2857
|1171.94805
|''1175''
|1178.2816
|1178.2816
|1181.1033
|1184.8288
|1188.4286
|1190.2159
|1201.5038
|''1242.1429-1250.5357''
|-
|-
|48
|48
|''1132.6531-1141.2245''
|1180.9524
|1191.1129
|1193.1429
|1196.8831
|''1200''
|1203.3514
|1203.3514
|1206.2332
|1210.0379
|1213.7143
|1215.5397
|1227.0677
|''1268.5714-1277.1429''
|-
|-
|49
|49
|''1156.25-1165''
|1205.5556
|1215.9278
|1218
|1221.8182
|''1225''
|1228.42125
|1228.42125
|1231.6306
|1235.247
|1239
|1240.8634
|1252.6316
|''1295-1303.75''
|-
|-
|50
|50
|''1179.8469-1188.7755''
|1230.1587
|1240.74265
|1242.8571
|1246.75325
|''1250''
|1253.4911
|1253.4911
|1256.4929
|1260.4561
|1264.2857
|1266.18715
|1278.1955
|''1321.4286-1330.3571''
|-
|-
|51
|51
|''1203.4439-1212.551''
|1254.7619
|1265.5575
|1267.7143
|1271.6883
|''1275''
|1278.5609
|1278.5609
|1281.6228
|1285.6653
|1289.5714
|1291.5109
|1303.7594
|''1347.8571-1356.9643''
|-
|-
|52
|52
|''1227.0408-1236.3265''
|1279.3651
|1290.37235
|1292.5714
|1296.6234
|''1300''
|1303.6307
|1303.6307
|1306.7526
|1310.8744
|1314.8571
|1316.8346
|1329.3233
|''1374.2857-1383.5714''
|-
|-
|53
|53
|''1250.6378-1260.102''
|1303.96825
|1315.1872
|1317.4286
|1321.5584
|''1325''
|1328.7005
|1328.7005
|1331.8825
|1336.0835
|1340.1429
|1342.1584
|1354.8872
|''1400.7143-1410.1786''
|-
|-
|54
|54
|''1227.0408-1236.3265''
|1328.5714
|1340.0021
|1342.2857
|1346.4395
|''1350''
|1353.7704
|1353.7704
|1357.01235
|1361.2927
|1365.4286
|1367.4821
|1380.4511
|''1427.1429-1436.7857''
|-
|-
|55
|55
|''1297.8316-1307.6531''
|1353.1746
|1364.8169
|1367.1429
|1371.4286
|''1375''
|1378.8418
|1378.8418
|1382.1422
|1386.5018
|1390.7143
|1392.8059
|1406.015
|''1453.5714-1463.3929''
|-
|-
|56
|56
|''1321.4286-1331.4286''
|1377.7778
|1389.6318
|1392
|1396.3636
|''1400''
|1403.91
|1403.91
|1407.2721
|1411.7109
|1416
|1418.1296
|1431.57895
|''1480-1490''
|}
|}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/28edf"