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'''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.
{{Infobox ET}}
'''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 {{EDOs|383, 670, 1053, 1436, and 1723}} EDOs.
==Related regular temperaments==
===7-limit 383&670===
Commas: 2401/2400, |91 -80 13 2>
POTE generator: ~|-33 32 -4 -3> = 12.5357
Mapping: [<1 1 -1 1|, <0 56 318 173|]
EDOs: {{EDOs|383, 670, 1053, 1436, 1723}}
===11-limit 383&670===
Commas: 2401/2400, 14348907/14348180, 26214400/26198073
POTE generator: ~13504609503/13421772800 = 12.5359
Mapping: [<1 1 -1 1 3|, <0 56 318 173 44|]
EDOs: {{EDOs|383, 670, 1053, 1436, 1723}}
== Intervals==
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |
! colspan="2" |56ed3/2
! rowspan="2" |''ed233\420-5¢ (~101-102edo!)''
! rowspan="2" |ed31\54 (~98edo!)
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed696¢
! rowspan="2" |ed32\55
! rowspan="2" |[[96edo]]=''r¢''
! rowspan="2" |ed3/2
! rowspan="2" |Golden 95-96edo
! colspan="2" |Pyrite
! rowspan="2" |[[95edo]]
! rowspan="2" |ed708¢
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57 (~94edo!)
! rowspan="2" |''ed37\60+5¢ (~90-91edo!)''
|-
!(~ed17\29)
!(~ed10\17)
|-
|-
|1
|1
|''11.7985-11.8878''
|12.3016
|12.4074
|12.4286
|12.4675
|''12.5''
|12.5349
|12.5349
|12.5499
|12.5649
|12.6046
|12.6316
|12.6429
|12.6619
|12.78195
|''13.2143-13.3039''
|-
|-
|2
|2
|''23.5969-23.7755''
|24.6032
|24.81485
|24.8571
|24.9351
|''25''
|25.0698
|25.0698
|25.0999
|25.1299
|25.2091
|25.2632
|25.2857
|25.3234
|25.5639
|''26.4286-26.6071''
|-
|-
|3
|3
|''35.3954-35.6633''
|36.9048
|37.2223
|37.2857
|37.4026
|''37.5''
|37.6047
|37.6047
|37.6498
|376.9479
|37.8139
|37.8947
|37.9286
|37.9856
|38.3459
|''39.6429-39.9107''
|-
|-
|4
|4
|''47.1939-47.551''
|49.20635
|49.6297
|49.7143
|49.8701
|''50''
|50.1396
|50.1396
|50.1997
|50.2597
|50.41825
|50.5263
|50.5714
|50.6475
|51.1278
|''52.8571-53.2143''
|-
|-
|5
|5
|''59.99235-59.4388''
|61.5079
|62.0371
|62.1429
|62.3377
|''62.5''
|62.67455
|62.67455
|62.7497
|62.82465
|63.0228
|63.1579
|63.2143
|63.3094
|63.9098
|''66.0714-66.5179''
|-
|-
|6
|6
|''70.7908-71.3625''
|73.8095
|74.4446
|74.5714
|74.8052
|''75''
|75.2095
|75.2095
|75.2996
|75.3896
|75.6274
|75.7895
|75.8571
|75.9712
|76.6917
|''79.2857-79.8214''
|-
|-
|7
|7
|''82.5893-83.2143''
|86.1111
|86.852
|87
|87.2727
|''87.5''
|87.7444
|87.7444
|87.8495
|879.545
|88.2319
|88.42105
|88.5
|88.6331
|89.4737
|''92.5-93.125''
|-
|-
|8
|8
|''94.3878-95.102''
|98.4127
|99.2594
|99.4286
|99.7403
|''100''
|100.2793
|100.2793
|100.3995
|100.5194
|100.8365
|101.0526
|101.1429
|101.295
|102.2556
|''105.7143-106.4286''
|-
|-
|9
|9
|''106.1862-106.9898''
|110.7143
|111.6668
|111.8571
|112.2078
|''112.5''
|112.8142
|112.8142
|112.9494
|113.0844
|113.44105
|113.6842
|113.7857
|113.9568
|115.0376
|''118.9286-119.7321''
|-
|-
|10
|10
|''117.9847-118.87755''
|123.0159
|124.0743
|124.2857
|124.6753
|''125''
|125.3491
|125.3491
|125.4993
|125.6493
|126.0456
|126.3158
|126.4286
|126.6187
|127.81955
|''132.1429-133.0357''
|-
|-
|11
|11
|''129.7832-130.7653''
|135.3175
|136.4817
|136.7143
|137.1429
|''137.5''
|137.884
|137.884
|138.0493
|138.2142
|138.6502
|138.9474
|139.0714
|139.2806
|140.6015
|''145.3571-146.3393''
|-
|-
|12
|12
|''141.5816-142.653''
|147.61905
|148.8891
|149.1429
|149.6104
|''150''
|150.4189
|150.4189
|150.5992
|150.77915
|151.2547
|151.57895
|151.7143
|151.9425
|153.3835
|''158.5714-159.6429''
|-
|-
|13
|13
|''153.3801-154.5408''
|159.9206
|161.2965
|161.5714
|162.0779
|''162.5''
|162.9538
|162.9538
|163.1491
|163.3441
|163.859
|164.2105
|164.3571
|164.6043
|166.1654
|''171.7857-172.9464''
|-
|-
|14
|14
|''165.1786-166.4285''
|172.2222
|173.704
|174
|174.54545
|''175''
|175.48875
|175.48875
|175.6991
|175.909
|176.4639
|176.8421
|177
|177.2662
|178.947
|''185-186.25''
|-
|-
|15
|15
|''176.977-178.3163''
|184.5238
|186.1114
|186.4286
|187.013
|''187.5''
|188.2366
|188.2366
|188.249
|188.4739
|189.0684
|189.4737
|189.6429
|189.9281
|191.7293
|''198.2143-199.5536''
|-
|-
|16
|16
|''188.7755-190.2041''
|196.8254
|198.5188
|198.8571
|199.4805
|''200''
|200.5586
|200.5586
|200.7989
|201.0389
|201.673
|202.1053
|202.2857
|202.5899
|204.5113
|''211.4286-212.8571''
|-
|-
|17
|17
|''200.574-202.0918''
|209.127
|210.92625
|211.2857
|211.94805
|''212.5''
|213.0935
|213.0935
|213.3489
|213.6038
|214.27755
|214.7368
|214.9286
|215.2518
|217.2932
|''224.6429-226.1607''
|-
|-
|18
|18
|''212.37245-213.9796''
|221.4286
|223.3337
|223.7143
|224.4156
|''225''
|225.6284
|225.6284
|225.8988
|226.1687
|226.8821
|227.3684
|227.5714
|227.9137
|230.0752
|''237.8571-239.4643''
|-
|-
|19
|19
|''224.1709-225.86735''
|233.7302
|235.7411
|236.1429
|236.8831
|''237.5''
|238.1633
|238.1633
|238.4487
|238.73365
|239.4867
|240
|240.2143
|240.7556
|242.8571
|''251.0714-252.7679''
|-
|-
|20
|20
|''235.9694-237.7551''
|246.03175
|248.1485
|248.5714
|249.35065
|''250''
|250.6982
|250.6982
|250.9987
|251.2986
|252.0912
|252.6316
|252.8571
|253.2374
|255.6391
|''264.2857-266.0714''
|-
|-
|21
|21
|''247.7674-249.6429''
|258.3333
|260.556
|261
|261.8182
|''262.5''
|263.2331
|263.2331
|263.5486
|263.8635
|264.6958
|265.2632
|265.5
|265.8993
|268.42105
|''277.5-279.375''
|-
|-
|22
|22
|''259.5663-261.5306''
|270.6349
|272.9634
|273.4286
|274.2857
|''275''
|275.768
|275.768
|276.0985
|276.4284
|277.3004
|277.8947
|278.1429
|278.5612
|281.203
|''290.7143-292.6786''
|-
|-
|23
|23
|''271.3648-273.4184''
|282.9365
|285.3708
|285.8571
|286.73525
|''287.5''
|288.30295
|288.30295
|288.6485
|288.9934
|289.9049
|290.5263
|290.7857
|291.223
|293.985
|''303.9286-305.9821''
|-
|-
|24
|24
|''283.1633-285.3061''
|295.2381
|297.782
|298.2857
|299.2208
|''300''
|300.8379
|300.8379
|301.1984
|301.5583
|302.5095
|303.1579
|303.4286
|303.8849
|306.7669
|''317.1429-319.2857''
|-
|-
|25
|25
|''294.9617-297.1939''
|307.5397
|310.1857
|310.7143
|311.6883
|''312.5''
|313.3728
|313.3728
|313.74835
|314.1232
|315.114
|315.7895
|316.0714
|316.5468
|319.5489
|''330.3571-332.5893''
|-
|-
|26
|26
|''306.7602-309.0816''
|319.8413
|322.5931
|323.1429
|324.1558
|''325''
|325.9077
|325.9077
|326.2983
|326.6682
|327.7186
|328.42105
|328.7143
|329.2087
|332.3308
|''343.5714-345.8929''
|-
|-
|27
|27
|''318.5588-320.9694''
|332.1429
|335.0005
|335.5714
|336.6234
|''337.5''
|338.4426
|338.4426
|338.8482
|339.2531
|340.3232
|341.0526
|341.3571
|341.8705
|345.1128
|''356.7857-359.1964''
|-
|-
|28
|28
|''330.3571-332.857''1
|344.4444
|347.408
|348
|349.0909
|''350''
|350.9775
|350.9775
|351.39815
|351.818
|352.9277
|353.6842
|354
|354.5324
|357.8947
|''370-372.5''
|-
|-
|29
|29
|''342.1556-344.7449''
|356.749
|359.8154
|360.4286
|361.5584
|''362.5''
|363.5214
|363.5214
|363.9481
|364.38295
|365.5323
|366.3158
|366.6429
|367.1943
|370.6767
|''383.2143-385.8036''
|-
|-
|30
|30
|''353.9541-356.63265''
|369.0476
|372.2228
|372.8571
|374.026
|''375''
|376.0473
|376.0473
|376.498
|376.9479
|378.13685
|378.9474
|379.2857
|379.8561
|383.45865
|''396.4286-399.1071''
|-
|-
|31
|31
|''365.75255-368.5204''
|381.3492
|384.6302
|385.2857
|386.4935
|''387.5''
|388.5822
|388.5822
|389.04795
|389.5128
|390.7414
|391.57895
|391.9286
|392.518
|396.2406
|''409.6429-412.4107''
|-
|-
|32
|32
|''377.551-380.4082''
|393.6508
|397.03765
|397.7143
|398.961
|''400''
|401.1171
|401.1171
|401.5979
|402.0777
|403.346
|404.2105
|404.5714
|405.1799
|409.0226
|''422.8571-425.7143''
|-
|-
|33
|33
|''389.3495-392.2959''
|408.9524
|409.4451
|410.1429
|411.4286
|''412.5''
|413.65205
|413.65205
|414.1478
|414.6427
|415.9505
|416.8421
|417.2143
|417.8418
|421.8045
|''436.0714-439.0179''
|-
|-
|34
|34
|''401.148-404.1837''
|418.254
|421.8525
|421.5714
|423.8961
|''425''
|426.187
|426.187
|426.69775
|427.2076
|428.5551
|429.4736
|429.8571
|430.5036
|434.5865
|''449.2857-452.3214''
|-
|-
|35
|35
|''412.9464-416.0714''
|430.5556
|434.2599
|435
|436.3636
|''437.5''
|438.7219
|438.7219
|439.2477
|439.7725
|441.1597
|442.1053
|442.5
|443.1655
|447.3684
|''462.5-465.625''
|-
|-
|36
|36
|''424.7449-427.9592''
|442.8571
|446.66735
|447.4286
|448.8312
|''450''
|451.2568
|451.2568
|451.7976
|452.33745
|453.7642
|454.7368
|455.1429
|455.8274
|460.1504
|''475.7143-477.9286''
|-
|-
|37
|37
|''436.5434-439.8469''
|455.1875
|459.0748
|459.8571
|461.2987
|''462.5''
|463.7917
|463.7917
|464.34755
|464.9024
|466.3688
|467.3684
|467.7857
|468.4892
|472.9323
|''488.9286-492.2321''
|-
|-
|38
|38
|''448.3418-451.7347''
|467.460
|471.4822
|472.2857
|473.7662
|''475''
|476.3266
|476.3266
|476.8975
|477.4673
|478.9733
|480
|480.4286
|481.1511
|485.7143
|''502.1429-505.5357''
|-
|-
|39
|39
|''460.1403-463.62245''
|479.7619
|483.8896
|484.7143
|486.2338
|''487.5''
|488.8615
|488.8615
|489.4474
|490.0322
|491.5779
|492.6316
|493.0714
|493.913
|498.4962
|''515.3571-518.8393''
|-
|-
|40
|40
|''471.9388-475.5102''
|492.0635
|496.2971
|497.1429
|498.7013
|''500''
|501.3964
|501.3964
|501.97735
|502.5972
|504.1825
|505.2632
|505.7143
|506.4749
|511.2781
|''528.5714-532.1429''
|-
|-
|41
|41
|''483.7372-487.398''
|504.3651
|507.04485
|508.5714
|511.1688
|''512.5''
|513.9313
|513.9313
|514.5473
|515.1621
|516.787
|517.8947
|518.3571
|519.1367
|524.06015
|''541.7857-545.4464''
|-
|-
|42
|42
|''495.5357-499.2857''
|516.6667
|521.1119
|522
|523.6364
|''525''
|526.46625
|526.46625
|527.0972
|527.727
|529.3916
|530.5263
|531
|531.7986
|536.8421
|''555-558.75''
|-
|-
|43
|43
|''507.3342-511.1735''
|528.96825
|533.5193
|534.4286
|536.1039
|''537.5''
|539.0012
|539.0012
|539.64715
|540.29195
|541.99615
|543.1578
|543.6429
|544.4605
|549.6241
|''568.2143-572.0536''
|-
|-
|44
|44
|''519.13265-523.0612''
|541.2698
|545.9268
|546.8571
|548.5714
|''550''
|551.536
|551.536
|552.1971
|552.8569
|554.6007
|555.7895
|556.2857
|557.1223
|562.406
|''581.4286-585.3571''
|-
|-
|45
|45
|''530.9311-534.949''
|553.5714
|558.3341
|559.2857
|561.039
|''562.5''
|564.071
|564.071
|564.747
|565.4218
|567.2053
|568.42105
|568.9286
|569.7842
|575.188
|''594.6429-598.6607''
|-
|-
|46
|46
|''542.7296-546.8367''
|565.873
|570.7416
|571.7143
|573.5065
|''575''
|576.6059
|576.6059
|577.297
|577.9867
|579.8098
|581.0526
|581.5714
|582.4461
|587.9699
|''607.8571-611.9643''
|-
|-
|47
|47
|''554.5281-558.7245''
|578.1746
|583.149
|584.1429
|585.974
|''587.5''
|589.1408
|589.1408
|589.8469
|590.5517
|592.4144
|593.6842
|594.2143
|595.108
|600.7519
|''620.0714-625.2679''
|-
|-
|48
|48
|''566.3265-570.6122''
|590.4762
|595.5565
|596.5714
|598.4416
|''600''
|601.6757
|601.6757
|602.3968
|603.1166
|605.019
|606.3158
|606.8571
|607.7698
|613.5338
|''634.2857-638.5714''
|-
|-
|49
|49
|''578.125-582.5''
|602.7778
|607.9639
|609
|610.9091
|''612.5''
|614.2106
|614.2106
|614.9468
|615.6815
|617.6235
|618.9474
|619.5
|620.4317
|626.3158
|''647.5-651.875''
|-
|-
|50
|50
|''589.9235-594.3878''
|615.0794
|620.3713
|621.4286
|623.3766
|''625''
|626.7455
|626.7455
|627.4967
|628.2465
|630.2281
|631.57895
|632.1429
|633.0936
|639.0977
|''660.7143-665.1786''
|-
|-
|51
|51
|''601.7219-606.2755''
|627.38095
|632.77875
|633.8571
|635.8442
|''637.5''
|639.28045
|639.28045
|640.0466
|640.8114
|642.8326
|644.2015
|644.7857
|645.7554
|651.8797
|''673.9286-678.4821''
|-
|-
|52
|52
|''613.5204-618.1633''
|639.6825
|645.1862
|646.2857
|648.3117
|''650''
|651.8154
|651.8154
|652.5966
|653.3763
|655.4372
|656.8421
|657.4286
|658.4173
|664.66165
|''687.1429-691.7857''
|-
|-
|53
|53
|''625.3189-630.051''
|651.9841
|657.5936
|658.7143
|660.7792
|''662.5''
|664.3503
|664.3503
|665.1465
|665.9412
|668.0418
|669.4736
|670.0714
|671.0792
|677.4436
|''700.3571-705.0893''
|-
|-
|54
|54
|''637.11735-641.9388''
|664.2857
|670.001
|671.1429
|673.24765
|''675''
|676.8852
|676.8852
|677.6964
|678.5062
|680.6463
|682.1053
|682.7143
|983.7411
|690.2256
|''713.5714-718.3929''
|-
|-
|55
|55
|''648.9158-653.8265''
|676.5873
|682.40845
|683.5714
|685.7143
|''687.5''
|689.4201
|689.4201
|690.2464
|691.0711
|693.2509
|694.7368
|695.3571
|696.4029
|703.0075
|''726.7857-731.6964''
|-
|-
|56
|56
|''660.7143-665.714''3
|688.8889
|694.8158
|696
|698.1818
|''700''
|701.955
|701.955
|702.7963
|703.636
|705.85545
|707.3684
|708
|709.0648
|715.7895
|''740-745''
|-
|-
|57
|57
|''672.5128-677.602''
|701.1905
|707.2233
|708.4286
|710.64935
|''712.5''
|714.4899
|714.4899
|715.3462
|716.201
|718.46
|720
|720.6429
|721.7267
|728.5714
|''753.2143-756.3036''
|-
|-
|58
|58
|''684.3112-689.4898''
|713.4921
|719.6307
|720.8571
|723.1169
|''725''
|727.0248
|727.0248
|727.8962
|728.7659
|731.0646
|732.6316
|733.2857
|734.3885
|741.3534
|''766.4286-771.6071''
|-
|-
|59
|59
|''696.1097-701.37755''
|725.79365
|732.0382
|733.2857
|735.5844
|''737.5''
|739.5597
|739.5597
|740.4461
|741.3308
|743.6691
|745.2632
|745.9286
|747.0504
|754.1353
|''779.6429-784.9107''
|-
|-
|60
|60
|''707.9082-713.2653''
|738.0952
|744.4456
|745.7143
|748.05195
|''750''
|752.0946
|752.0946
|752.996
|753.89575
|756.2736
|757.8947
|758.5714
|759.7123
|766.9173
|''792.8571-798.2143''
|-
|-
|61
|61
|''719.7066-725.1531''
|750.3968
|756.853
|758.1429
|760.5195
|''762.5''
|764.62955
|764.62955
|765.546
|766.4607
|768.8783
|770.5263
|771.2143
|772.3742
|779.69925
|''805.0714-811.5179''
|-
|-
|62
|62
|''731.5051-737.0408''
|762.6984
|769.2604
|770.5714
|772.987
|''775''
|777.1645
|777.1645
|778.0959
|779.0256
|781.4828
|783.1579
|783.8571
|785.036
|792.4812
|''819.2857-824.8214''
|-
|-
|63
|63
|''743.3036-748.9286''
|775
|781.6679
|783
|785.45455
|''787.5''
|789.6994
|789.6994
|790.6458
|791.5905
|794.0874
|795.7895
|796.5
|797.6979
|805.2632
|''832.5-838.125''
|-
|-
|64
|64
|''755.102-760.8163''
|787.3016
|794.0753
|795.4286
|797.9221
|''800''
|802.2343
|802.2343
|803.1958
|804.1555
|806.6919
|808.42105
|809.1429
|810.3598
|818.0451
|''845.7143-851.4286''
|-
|-
|65
|65
|''766.9005-772.704''
|799.6032
|806.4827
|807.8571
|810.3896
|''812.5''
|814.7692
|814.7692
|815.7457
|816.7204
|819.2965
|821.0526
|821.7857
|823.0216
|830.8271
|''858.9286-864.7321''
|-
|-
|66
|66
|''778.699-784.5918''
|811.9048
|818.89015
|820.2857
|822.8571
|''825''
|827.3041
|827.3041
|828.2956
|829.2853
|831.9011
|833.6842
|834.4286
|835.6835
|843.609
|''872.1429-878.0357''
|-
|-
|67
|67
|''792.49745-796.4796''
|824.20635
|831.2976
|832.7143
|835.3247
|''837.5''
|839.839
|839.839
|840.8456
|841.85025
|844.5056
|846.3158
|846.0714
|848.3454
|856.391
|''885.3571-891.3393''
|-
|-
|68
|68
|''802.2959-808.36735''
|836.5079
|843.705
|845.1429
|847.7922
|''850''
|852.3739
|852.3739
|853.3955
|854.4152
|857.1102
|858.9474
|859.7143
|861.0073
|869.1729
|''898.5714-904.6429''
|-
|-
|69
|69
|''814.0944-820.2551''
|848.8095
|856.1124
|857.5714
|860.2597
|''862.5''
|864.9088
|864.9088
|865.9454
|866.9801
|869.71475
|871.57895
|872.3571
|873.6691
|881.9549
|''911.7857-917.9464''
|-
|-
|70
|70
|''825.8929-832.1429''
|861.1111
|868.51985
|870
|872.7273
|''875''
|877.44375
|877.44375
|878.4954
|879.545
|882.3193
|884.2105
|885
|886.331
|894.7368
|''925-931.25''
|-
|-
|71
|71
|''837.6913-844.9306''
|873.4127
|880.9273
|882.4286
|885.1948
|''887.5''
|889.9787
|889.9787
|891.0453
|892.11
|894.9239
|896.8421
|897.6429
|898.9929
|907.5188
|''938.2143-944.5536''
|-
|-
|72
|72
|''849.4898-855.9184''
|885.7143
|893.3347
|894.8571
|897.6623
|''900''
|902.5136
|902.5136
|903.5952
|904.6749
|907.5284
|909.4736
|910.2857
|911.6547
|920.30075
|''951.4286-957.8571''
|-
|-
|73
|73
|''861.2882-867.8061''
|898.0159
|905.7421
|907.2857
|910.1299
|''912.5''
|915.0485
|915.0485
|916.1452
|917.2398
|920.133
|922.1053
|922.9286
|924.3166
|933.0827
|''964.6429-971.1607''
|-
|-
|74
|74
|''873.0867-879.6939''
|910.3175
|918.1496
|919.7143
|922.5974
|''925''
|927.5834
|927.5834
|928.6951
|929.8048
|932.3767
|934.7368
|935.5714
|936.9785
|945.8647
|''977.8571-984.4643''
|-
|-
|75
|75
|''884.8852-891.5816''
|922.61905
|930.557
|932.1429
|935.0649
|''937.5''
|940.1183
|940.1183
|941.245
|942.3697
|945.3421
|947.3684
|948.2143
|949.6404
|958.6466
|''991.0714-997.7679''
|-
|-
|76
|76
|''896.6837-903.4694''
|934.9206
|942.9644
|944.5714
|947.5325
|''950''
|952.6532
|952.6532
|953.795
|954.9346
|957.9467
|960
|960.8571
|962.3022
|971.4286
|''1004.2857-1011.0714''
|-
|-
|77
|77
|''908.4821-915.3571''
|947.2222
|955.3718
|957
|960
|''962.5''
|965.1881
|965.1881
|966.3449
|967.4995
|970.55125
|972.6316
|973.5
|974.9641
|984.2105
|''1017.5-1024.375''
|-
|-
|78
|78
|''920.2806-927.2449''
|959.5238
|967.7793
|969.4286
|972.4675
|''975''
|977.723
|977.723
|978.8948
|980.0645
|983.1558
|985.2632
|986.1429
|987.626
|996.9925
|''1030.7143-1037.6786''
|-
|-
|79
|79
|''932.0791-939.13265''
|971.8254
|980.1867
|981.8571
|984.9351
|''987.5''
|990.25795
|990.25795
|911.4448
|992.6294
|995.7604
|997.8947
|998.7857
|1000.28785
|1009.7744
|''1043.9286-1050.9821''
|-
|-
|80
|80
|''943.87755-951.0204''
|984.127
|992.5941
|994.2857
|997.4126
|''1000''
|1002.7929
|1002.7929
|1003.9947
|1005.1943
|1008.3649
|1010.5263
|1011.4286
|1012.9497
|1022.5564
|''1057.1429-1064.2857''
|-
|-
|81
|81
|''955.676-962.9081''2
|996.4286
|1005.0015
|1006.7143
|1009.8701
|''1012.5''
|1015.3278
|1015.3278
|1016.5446
|1017.7593
|1020.9695
|1023.1579
|1024.0714
|1025.6116
|1035.3383
|''1070.3571-1077.5893''
|-
|-
|82
|82
|''967.4745-974.7959''
|1008.7302
|1017.409
|1019.1429
|1022.3377
|''1025''
|1027.8627
|1027.8627
|1029.0946
|1030.3242
|1033.57405
|1035.57895
|1036.7143
|1038.2735
|1048.1203
|''1083.5714-1090.8929''
|-
|-
|83
|83
|''979.273-986.6837''
|1021.03175
|1029.8164
|1031.5714
|1034.8052
|''1037.5''
|1040.3976
|1040.3976
|1041.6445
|1042.8891
|1046.1786
|1048.42105
|1049.3571
|1050.9353
|1060.9023
|''1096.7857-1104.1964''
|-
|-
|84
|84
|''991.0714-998.5714''
|1033.333
|1042.2238
|1044
|1047.2727
|''1050''
|1052.9325
|1052.9325
|1054.1944
|1055.454
|1058.7832
|1061.0526
|1062
|1063.5972
|1073.6842
|''1110-1117.5''
|-
|-
|85
|85
|''1002.8699-1010.4592''
|1045.6349
|1054.63125
|1056.4286
|1059.7403
|''1062.5''
|1065.4674
|1065.4674
|1066.7444
|1068.019
|1071.3877
|1073.6842
|1074.6429
|1076.2591
|1086.4662
|''1123.2143-1130.8036''
|-
|-
|86
|86
|''1014.6684-1022.3469''
|1057.9365
|1067.0386
|1068.8571
|1072.2078
|''1075''
|1078.0023
|1078.0023
|1079.2943
|1080.5839
|1083.9923
|1086.3158
|1087.2857
|1088.92095
|1099.2481
|''1136.4286-1144.1071''
|-
|-
|87
|87
|''1028.4668-1034.2437''
|1070.2381
|1079.4461
|1081.2857
|1084.6753
|''1087.5''
|1090.5372
|1090.5372
|1091.8442
|1093.1488
|1095.5967
|1098.9474
|1099.9286
|1101.5828
|1112.0301
|''1149.6429-1157.4107''
|-
|-
|88
|88
|''1038.2653-1046.12245''
|1082.5397
|1091.8535
|1093.7143
|1097.1429
|''1100''
|1103.0721
|1103.0721
|1104.3942
|1105.7138
|1109.2014
|1111.57895
|1112.5714
|1114.2447
|1124.812
|''1162.8571-1170.7143''
|-
|-
|89
|89
|''1050.0638-1058.0102''
|1094.8413
|1104.26095
|1106.1429
|1109.6104
|''1112.5''
|1115.6071
|1115.6071
|1164.9441
|1118.2787
|1121.806
|1124.2105
|1125.2143
|1126.9066
|1137.594
|''1175.0714-1184.0179''
|-
|-
|90
|90
|''1061.8622-1069.898''
|1107.1429
|1116.6684
|1118.5714
|1122.0779
|''1125''
|1128.142
|1128.142
|1129.49405
|1130.8436
|1137.41055
|1136.8421
|1137.8571
|1139.5684
|1150.3759
|''1189.2857-1197.3214''
|-
|-
|91
|91
|''1073.6607-1081.7857''
|1119.4444
|1129.0758
|1131
|1134.54545
|''1137.5''
|1140.6769
|1140.6769
|1142.044
|1143.40855
|1147.0151
|1149.4737
|1150.5
|1152.2303
|1163.1579
|''1202.5-1210.625''
|-
|-
|92
|92
|''1085.4592-1093.6735''
|1131.7646
|1141.4832
|1143.4286
|1147.013
|''1150''
|1153.2118
|1153.2118
|1154.5939
|1155.9735
|1159.6297
|1162.1052
|1163.1429
|1164.8922
|1175.93985
|''1215.7143-1223.9286''
|-
|-
|93
|93
|''1097.25765-1105.5612''
|1144.0476
|1153.8907
|1155.8571
|1159.4805
|''1162.5''
|1165.7467
|1165.7467
|1167.14385
|1168.5384
|1172.2242
|1174.7368
|1175.7857
|1177.55405
|1187.7218
|''1228.9286-1237.2321''
|-
|-
|94
|94
|''1109.0651-1117.449''
|1156.3492
|1166.2981
|1168.2857
|1171.94805
|''1175''
|1178.2816
|1178.2816
|1179.6938
|1181.1033
|1184.8288
|1187.3684
|1188.4286
|1190.2159
|1201.5038
|''1242.1429-1250.5357''
|-
|-
|95
|95
|''1120.8546-1129.3367''
|1168.6508
|1178.7055
|1180.7143
|1184.4156
|''1187.5''
|1190.8165
|1190.8165
|1192.2437
|1193.6683
|1197.4334
|1200
|1201.0714
|1202.8778
|1214.2857
|''1257.3571-1263.8393''
|-
|-
|96
|96
|''1132.6531-1141.2245''
|1180.9524
|1191.1129
|1193.1429
|1196.8831
|''1200''
|1203.3514
|1203.3514
|1204.7937
|1206.2332
|1210.0379
|1212.6316
|1213.7143
|1215.5397
|1227.0677
|''1268.5714-1277.1429''
|-
|-
|97
|97
|''1144.4515-1153.11225''
|1193.254
|1203.5204
|1205.5714
|1209.35065
|''1212.5''
|1215.8863
|1215.8863
|1217.3436
|1218.7981
|1222.6425
|1225.2632
|1226.3571
|1228.2015
|1239.985
|''1281.7857-1290.4464''
|-
|-
|98
|98
|''1156.25-1165''
|1205.5556
|1215.9278
|1218
|1221.8182
|''1225''
|1228.42125
|1228.42125
|1229.8935
|1231.6306
|1235.247
|1237.8947
|1239
|1240.8634
|1252.6316
|''1295-1303.75''
|-
|-
|99
|99
|''1168.0485-1176.8878''
|1217.8571
|1228.3352
|1230.4286
|1234.2857
|''1237.5''
|1240.9561
|1240.9561
|1242.44345
|1243.328
|1247.8516
|1250.5263
|1251.6429
|1253.5253
|1265.4135
|''1308.2143-1317.0536''
|-
|-
|100
|100
|''1179.8469-1188.7755''
|1230.1587
|1240.74265
|1242.8571
|1246.75325
|''1250''
|1253.4911
|1253.4911
|1254.9934
|1256.4929
|1260.4561
|1263.1579
|1264.2857
|1266.18715
|1278.1955
|''1321.4286-1330.3571''
|-
|-
|101
|101
|''1191.6454-1200.6633''
|1242.4603
|1253.1501
|1255.2857
|1259.2208
|''1262.5''
|1266.026
|1266.026
|1267.5433
|1269.0578
|1273.0607
|1275.7895
|1276.9286
|1278.849
|1290.9774
|''1334.6429-1343.6607''
|-
|-
|102
|102
|''1203.4439-1212.551''
|1254.7619
|1265.5575
|1267.7143
|1271.6883
|''1275''
|1278.5609
|1278.5609
|1280.09325
|1281.6228
|1286.653
|1288.42105
|1289.5714
|1291.5109
|1303.7594
|''1347.8571-1356.9643''
|-
|-
|103
|103
|''1215.24235-1224.3878''
|1267.0635
|1277.9649
|1280.1429
|1284.1558
|''1287.5''
|1291.0958
|1291.0958
|1292.6432
|12974.1877
|1298.26985
|1301.0526
|1302.2143
|1304.1728
|1316.54135
|''1361.0714-1370.2679''
|-
|-
|104
|104
|''1227.0408-1236.3265''
|1279.3651
|1290.37235
|1292.5714
|1296.6234
|''1300''
|1303.6307
|1303.6307
|1305.1931
|1306.7526
|1310.8744
|1313.6842
|1314.8571
|1316.8346
|1329.3233
|''1374.2857-1383.5714''
|-
|-
|105
|105
|''1238.8393-1248.2143''
|1291.6667
|1302.7798
|1305
|1309.0909
|''1312.5''
|1316.1656
|1316.1656
|1317.74305
|1319.3176
|1323.479
|1326.3158
|1327.5
|1329.4965
|1342.1053
|''1387.5-1396.875''
|-
|-
|106
|106
|''1250.6378-1260.102''
|1303.96825
|1315.1872
|1317.4286
|1321.5584
|''1325''
|1328.7005
|1328.7005
|1330.293
|1331.8825
|1336.0835
|1338.9474
|1340.1429
|1342.1584
|1354.8872
|''1400.7143-1410.1786''
|-
|-
|107
|107
|''1262.4362-1271.9898''
|1316.2698
|1327.5946
|1329.8571
|1334.026
|''1337.5''
|1341.23545
|1341.23545
|1342.8429
|1344.4474
|1348.6881
|1351.57895
|1352.7857
|1354.82025
|1367.6692
|''1413.9286-1423.4821''
|-
|-
|108
|108
|''1274.2347-1283.87755''
|1328.5714
|1340.0021
|1342.2857
|1346.4395
|''1350''
|1353.7704
|1353.7704
|1355.39586
|1357.01235
|1361.2927
|1364.2105
|1365.4286
|1367.4821
|1380.4511
|''1427.1429-1436.7857''
|-
|-
|109
|109
|''1286.0331-1295.7653''
|1340.873
|1352.4095
|1355.7143
|1358.961
|''1362.5''
|1366.3053
|1366.3053
|1367.9428
|1369.5773
|1373.8972
|1376.8421
|1378.0714
|1380.144
|1393.233
|''1440.3571-1450.0893''
|-
|-
|110
|110
|''1297.8316-1307.6531''
|1353.1746
|1364.8169
|1367.1429
|1371.4286
|''1375''
|1378.8418
|1378.8418
|1380.4927
|1382.1422
|1386.5018
|1389.4737
|1390.7143
|1392.8059
|1406.015
|''1453.5714-1463.3929''
|-
|-
|111
|111
|''1309.6301-1319.5408''
|1365.4762
|1377.2243
|1379.5714
|1383.8961
|''1387.5''
|1391.3751
|1391.3751
|1393.0427
|1394.7071
|1399.1063
|1402.1053
|1403.3571
|1405.4677
|1418.797
|''1470.7857-1476.6964''
|-
|-
|112
|112
|''1321.4286-1331.4286''
|1377.7778
|1389.6318
|1392
|1396.3636
|''1400''
|1403.91
|1403.91
|1405.5926
|1407.2721
|1411.7109
|1414.7368
|1416
|1418.1296
|1431.57895
|''1480-1490''
|}
|}


==Related regular temperaments==
{{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.}}
===7-limit 383&670===
Commas: 2401/2400, |91 -80 13 2>
 
POTE generator: ~|-33 32 -4 -3> = 12.5357
 
Mapping: [<1 1 -1 1|, <0 56 318 173|]
 
EDOs: 383, 670, 1053, 1436, 1723
 
===11-limit 383&670===
Commas: 2401/2400, 14348907/14348180, 26214400/26198073
 
POTE generator: ~13504609503/13421772800 = 12.5359
 
Mapping: [<1 1 -1 1 3|, <0 56 318 173 44|]
 
EDOs: 383, 670, 1053, 1436, 1723
 
[[Category:Edf]]
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/56edf"