Xenharmonic Wiki

56edf: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,024 edits
minor edit
Tags: Mobile edit Mobile web edit
No edit summary
Line 1: Line 1:
'''56EDF''' is the [[EDF|equal division of the just perfect fifth]] into 56 parts of 12.5349 [[cent|cents]] each, corresponding to 95.7326 [[edo]]. It is related to the regular temperament which tempers out 2401/2400 and |91 -80 13 2> in the 7-limit, which is supported by [[383edo|383]], [[670edo|670]], [[1053edo|1053]], 1436, and 1723 EDOs.
'''56EDF''' is the [[EDF|equal division of the just perfect fifth]] into 56 parts of 12.5349 [[cent|cents]] each, corresponding to 95.7326 [[edo]]. It is related to the regular temperament which tempers out 2401/2400 and |91 -80 13 2> in the 7-limit, which is supported by [[383edo|383]], [[670edo|670]], [[1053edo|1053]], 1436, and 1723 EDOs.


{| class="wikitable"
! rowspan="2" |
! rowspan="2" |ed31\54 (~98edo!)
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! rowspan="2" |[[95edo]]
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57 (~94edo!)
|-
!(~ed17\29)
!(~ed10\17)
|-
|1
|12.3016
|12.4074
|12.5349
|12.5649
|12.6046
|12.6316
|12.6619
|12.78195
|-
|2
|24.6032
|24.81485
|25.0698
|25.1299
|25.2091
|25.2632
|25.3234
|25.5639
|-
|3
|36.9048
|37.2223
|37.6047
|376.9479
|37.8139
|37.8947
|37.9856
|38.3459
|-
|4
|49.20635
|49.6297
|50.1396
|50.2597
|50.41825
|50.5263
|50.6475
|51.1278
|-
|5
|61.5079
|62.0371
|62.67455
|62.82465
|63.0228
|63.1579
|63.3094
|63.9098
|-
|6
|73.8095
|74.4446
|75.2095
|75.3896
|75.6274
|75.7895
|75.9712
|76.6917
|-
|7
|86.1111
|86.852
|87.7444
|879.545
|88.2319
|88.42105
|88.6331
|89.4737
|-
|8
|98.4127
|99.2594
|100.2793
|100.5194
|100.8365
|101.0526
|101.295
|102.2556
|-
|9
|110.7143
|111.6668
|112.8142
|113.0844
|113.44105
|113.6842
|113.9568
|115.0376
|-
|10
|123.0159
|124.0743
|125.3491
|125.6493
|126.0456
|126.3158
|126.6187
|127.81955
|-
|11
|135.3175
|136.4817
|137.884
|138.2142
|138.6502
|138.9474
|139.2806
|140.6015
|-
|12
|147.61905
|148.8891
|150.4189
|150.77915
|151.2547
|151.57895
|151.9425
|153.3835
|-
|13
|159.9206
|161.2965
|162.9538
|163.3441
|163.859
|164.2105
|164.6043
|166.1654
|-
|14
|172.2222
|173.704
|175.48875
|175.909
|176.4639
|176.8421
|177.2662
|178.947
|-
|15
|184.5238
|186.1114
|188.2366
|188.4739
|189.0684
|189.473
|189.9281
|191.7293
|-
|16
|196.8254
|198.5188
|200.5586
|201.0389
|201.673
|202.1053
|202.5899
|204.5113
|-
|17
|209.127
|210.92625
|213.0935
|213.6038
|214.27755
|214.7368
|215.2518
|217.2932
|-
|18
|221.4286
|223.3337
|225.6284
|226.1687
|226.8821
|227.3684
|227.9137
|230.0752
|-
|19
|233.7302
|235.7411
|238.1633
|238.73365
|239.4867
|240
|240.7556
|242.8571
|-
|20
|246.03175
|248.1485
|250.6982
|251.2986
|252.0912
|252.6316
|253.2374
|255.6391
|-
|21
|258.3333
|260.556
|263.2331
|263.8635
|264.6958
|265.2632
|265.8993
|268.42105
|-
|22
|270.6349
|272.9634
|275.768
|276.4284
|277.3004
|277.8947
|278.5612
|281.203
|-
|23
|282.9365
|285.3708
|288.30295
|288.9934
|289.9049
|290.5263
|291.223
|293.985
|-
|24
|295.2381
|297.782
|300.8379
|301.5583
|302.5095
|303.1579
|303.8849
|306.7669
|-
|25
|307.5397
|310.1857
|313.3728
|314.1232
|315.114
|315.7895
|316.5468
|319.5489
|-
|26
|319.8413
|322.5931
|325.9077
|326.6682
|327.7186
|328.42105
|329.2087
|332.3308
|-
|27
|332.1429
|335.0005
|338.4426
|339.2531
|340.3232
|341.0526
|341.8705
|345.1128
|-
|28
|344.4444
|347.408
|350.9775
|351.818
|352.9277
|353.6842
|354.5324
|357.8947
|-
|29
|356.749
|359.8154
|363.5214
|364.38295
|365.5323
|366.3158
|367.1943
|370.6767
|-
|30
|369.0476
|372.2228
|376.0473
|376.9479
|378.13685
|378.9474
|379.8561
|383.45865
|-
|31
|381.3492
|384.6302
|388.5822
|389.5128
|390.7414
|391.57895
|392.518
|396.2406
|-
|32
|393.6508
|397.03765
|401.1171
|402.0777
|403.346
|404.2105
|405.1799
|409.0226
|-
|33
|408.9524
|409.4451
|413.65205
|414.6427
|415.9505
|416.8421
|417.8418
|421.8045
|-
|34
|418.254
|421.8525
|426.187
|427.2076
|428.5551
|429.4736
|430.5036
|434.5865
|-
|35
|430.5556
|434.2599
|438.7219
|439.7725
|441.1597
|442.1053
|443.1655
|447.3684
|-
|36
|442.8571
|446.66735
|451.2568
|452.33745
|453.7642
|454.7368
|455.8274
|460.1504
|-
|37
|455.1875
|459.0748
|463.7917
|464.9024
|466.3688
|467.3684
|468.4892
|472.9323
|-
|38
|467.460
|471.4822
|476.3266
|477.4673
|478.9733
|480
|481.1511
|485.7143
|-
|39
|479.7619
|483.8896
|488.8615
|490.0322
|491.5779
|492.6316
|493.913
|498.4962
|-
|40
|492.0635
|496.2971
|501.3964
|502.5972
|504.1825
|505.2632
|506.4749
|511.2781
|-
|41
|504.3651
|507.04485
|513.9313
|515.1621
|516.787
|517.8947
|519.1367
|524.06015
|-
|42
|516.6667
|521.1119
|526.46625
|527.727
|529.3916
|530.5263
|531.7986
|536.8421
|-
|43
|528.96825
|533.5193
|539.0012
|540.29195
|541.99615
|543.1578
|544.4605
|549.6241
|-
|44
|541.2698
|545.9268
|551.536
|552.8569
|554.6007
|555.7895
|557.1223
|562.406
|-
|45
|553.5714
|558.3341
|564.071
|565.4218
|567.2053
|568.42105
|569.7842
|575.188
|-
|46
|565.873
|570.7416
|576.6059
|577.9867
|579.8098
|581.0526
|582.4461
|587.9699
|-
|47
|578.1746
|583.149
|589.1408
|590.5517
|592.4144
|593.6842
|595.108
|600.7519
|-
|48
|590.4762
|595.5565
|601.6757
|603.1166
|605.019
|606.3158
|607.7698
|613.5338
|-
|49
|602.7778
|607.9639
|614.2106
|615.6815
|617.6235
|618.9474
|620.4317
|626.3158
|-
|50
|615.0794
|620.3713
|626.7455
|628.2465
|630.2281
|631.57895
|633.0936
|639.0977
|-
|51
|627.38095
|632.77875
|639.28045
|640.8114
|642.8326
|644.2015
|645.7554
|651.8797
|-
|52
|639.6825
|645.1862
|651.8154
|653.3763
|655.4372
|656.8421
|658.4173
|664.66165
|-
|53
|651.9841
|657.5936
|664.3503
|665.9412
|668.0418
|669.4736
|671.0792
|677.4436
|-
|54
|664.2857
|670.001
|676.8852
|678.5062
|680.6463
|682.1053
|983.7411
|690.2256
|-
|55
|676.5873
|682.40845
|689.4201
|691.0711
|693.2509
|694.7368
|696.4029
|703.0075
|-
|56
|688.8889
|694.8158
|701.955
|703.636
|705.85545
|707.3684
|709.0648
|715.7895
|-
|57
|701.1905
|707.2233
|714.4899
|716.201
|718.46
|720
|721.7267
|728.5714
|-
|58
|713.4921
|719.6307
|727.0248
|728.7659
|731.0646
|732.6316
|734.3885
|741.3534
|-
|59
|725.79365
|732.0382
|739.5597
|741.3308
|743.6691
|745.2632
|747.0504
|754.1353
|-
|60
|738.0952
|744.4456
|752.0946
|753.89575
|756.2736
|757.8947
|759.7123
|766.9173
|-
|61
|750.3968
|756.853
|764.62955
|766.4607
|768.8783
|770.5263
|772.3742
|779.69925
|-
|62
|762.6984
|769.2604
|777.1645
|779.0256
|781.4828
|783.1579
|785.036
|792.4812
|-
|63
|775
|781.6679
|789.6994
|791.5905
|794.0874
|795.7895
|797.6979
|805.2632
|-
|64
|787.3016
|794.0753
|802.2343
|804.1555
|806.6919
|808.42105
|810.3598
|818.0451
|-
|65
|799.6032
|806.4827
|814.7692
|816.7204
|819.2965
|821.0526
|823.0216
|830.8271
|-
|66
|811.9048
|818.89015
|827.3041
|829.2853
|831.9011
|833.6842
|835.6835
|843.609
|-
|67
|824.20635
|831.2976
|839.839
|841.85025
|844.5056
|846.3158
|848.3454
|856.391
|-
|68
|836.5079
|843.705
|852.3739
|854.4152
|857.1102
|858.9473
|861.0073
|869.1729
|-
|69
|848.8095
|856.1124
|864.9088
|866.9801
|869.71475
|871.57895
|873.6691
|881.9549
|-
|70
|861.1111
|868.51985
|877.44375
|879.545
|882.3193
|884.2105
|886.331
|894.7368
|-
|71
|873.4127
|880.9273
|889.9787
|892.11
|894.9239
|896.8421
|898.9929
|907.5188
|-
|72
|885.7143
|893.3347
|902.5136
|904.6749
|907.5284
|909.4736
|911.6547
|920.30075
|-
|73
|898.0159
|905.7421
|915.0485
|917.2398
|920.133
|922.1053
|924.3166
|933.0827
|-
|74
|910.3175
|918.1496
|927.5834
|929.8048
|932.3767
|934.7368
|936.9785
|945.8647
|-
|75
|922.61905
|930.557
|940.1183
|942.3697
|945.3421
|947.3684
|949.6404
|958.6466
|-
|76
|934.9206
|942.9644
|952.6532
|954.9346
|957.9467
|960
|962.3022
|971.4286
|-
|77
|947.2222
|955.3718
|965.1881
|967.4995
|970.55125
|972.6316
|974.9641
|984.2105
|-
|78
|959.5238
|967.7793
|977.723
|980.0645
|983.1558
|985.2632
|987.626
|996.9925
|-
|79
|971.8254
|980.1867
|990.25795
|992.6294
|995.7604
|997.8947
|1000.28785
|1009.7744
|-
|80
|984.127
|992.5941
|1002.7929
|1005.1943
|1008.3649
|1010.5263
|1012.9497
|1022.5564
|-
|81
|996.4286
|1005.0015
|1015.3278
|1017.7593
|1020.9695
|1023.1579
|1025.6116
|1035.3383
|-
|82
|1008.7302
|1017.409
|1027.8627
|1030.3242
|1033.57405
|1035.57895
|1038.2735
|1048.1203
|-
|83
|1021.03175
|1029.8164
|1040.3976
|1042.8891
|1046.1786
|1048.42105
|1050.9353
|1060.9023
|-
|84
|1033.333
|1042.2238
|1052.9325
|1055.454
|1058.7832
|1061.0526
|1063.5972
|1073.6842
|-
|85
|1045.6349
|1054.63125
|1065.4674
|1068.019
|1071.3877
|1073.6842
|1076.2591
|1086.4662
|-
|86
|1057.9365
|1067.0386
|1078.0023
|1080.5839
|1083.9923
|1086.3158
|1088.92095
|1099.2481
|-
|87
|1070.2381
|1079.4461
|1090.5372
|1093.1488
|1095.5967
|1098.9474
|1101.5828
|1112.0301
|-
|88
|1082.5397
|1091.8535
|1103.0721
|1105.7138
|1109.2014
|1111.57895
|1114.2447
|1124.812
|-
|89
|1094.8413
|1104.26095
|1115.6071
|1118.2787
|1121.806
|1124.2105
|1126.9066
|1137.594
|-
|90
|1107.1429
|1116.6684
|1128.142
|1130.8436
|1137.41055
|1136.8421
|1139.5684
|1150.3759
|-
|91
|1119.4444
|1129.0758
|1140.6769
|1143.40855
|1147.0151
|1149.4737
|1152.2303
|1163.1579
|-
|92
|1131.7646
|1141.4832
|1153.2118
|1155.9735
|1159.6297
|1162.1052
|1164.8922
|1175.93985
|-
|93
|1144.0476
|1153.8907
|1165.7467
|1168.5384
|1172.2242
|1174.7368
|1177.55405
|1187.7218
|-
|94
|1156.3492
|1166.2981
|1178.2816
|1181.1033
|1184.8288
|1187.3684
|1190.2159
|1201.5038
|-
|95
|1168.6508
|1178.7055
|1190.8165
|1193.6683
|1197.4334
|1200
|1202.8778
|1214.2857
|-
|96
|1180.9524
|1191.1129
|1203.3514
|1206.2332
|1210.0379
|1212.6316
|1215.5397
|1227.0677
|-
|97
|1193.254
|1203.5204
|1215.8863
|1218.7981
|1222.6425
|1225.2632
|1228.2015
|1239.985
|-
|98
|1205.5556
|1215.9278
|1228.42125
|1231.6306
|1235.247
|1237.8947
|1240.8634
|1252.6316
|-
|99
|1217.8571
|1228.3352
|1240.9561
|1243.328
|1247.8516
|1250.5263
|1253.5253
|1265.4135
|-
|100
|1230.1587
|1240.74265
|1253.4911
|1256.4929
|1260.4561
|1263.1579
|1266.18715
|1278.1955
|-
|101
|1242.4603
|1253.1501
|1266.026
|1269.0578
|1273.0607
|1275.7895
|1278.849
|1290.9774
|-
|102
|1254.7619
|1265.5575
|1278.5609
|1281.6228
|1286.653
|1288.42105
|1291.5109
|1303.7594
|-
|103
|1267.0635
|1277.9649
|1291.0958
|12974.1877
|1298.26985
|1301.0526
|1304.1728
|1316.54135
|-
|104
|1279.3651
|1290.37235
|1303.6307
|1306.7526
|1310.8744
|1313.6842
|1316.8346
|1329.3233
|-
|105
|1291.6667
|1302.7798
|1316.1656
|1319.3176
|1323.479
|1326.3158
|1329.4965
|1342.1053
|-
|106
|1303.96825
|1315.1872
|1328.7005
|1331.8825
|1336.0835
|1338.9474
|1342.1584
|1354.8872
|-
|107
|1316.2698
|1327.5946
|1341.23545
|1344.4474
|1348.6881
|1351.57895
|1354.82025
|1367.6692
|-
|108
|1328.5714
|1340.0021
|1353.7704
|1357.01235
|1361.2927
|1364.2105
|1367.4821
|1380.4511
|-
|109
|1340.873
|1352.4095
|1366.3053
|1369.5773
|1373.8972
|1376.8421
|1380.144
|1393.233
|-
|110
|1353.1746
|1364.8169
|1378.8418
|1382.1422
|1386.5018
|1389.4737
|1392.8059
|1406.015
|-
|111
|1365.4762
|1377.2243
|1391.3751
|1394.7071
|1399.1063
|1402.1053
|1405.4677
|1418.797
|-
|112
|1377.7778
|1389.6318
|1403.91
|1407.2721
|1411.7109
|1414.7368
|1418.1296
|1431.57895
|}
==Related regular temperaments==
==Related regular temperaments==
===7-limit 383&670===
===7-limit 383&670===
Retrieved from "https://en.xen.wiki/w/56edf"