User:Contribution/Successive superparticular complementary pair: Difference between revisions

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Contribution (talk | contribs)
No edit summary
Line 18: Line 18:
! Equal division
! Equal division
! Name
! Name
! Mappings (Equave, SSCP)
! EDO
! EDO
! Cent
! Cent
! DB Optimization (EDO)
! DB Optimization (Cent)
! Mappings (Equave, SSCP)
! Errors
! Errors
! Errors (DB optimization)
! DB EDO
! DB Cent
! DB Errors
|-
|-
| rowspan="3" | 3/1
| rowspan="3" | 3/1
Line 30: Line 30:
| [[3edt|3ed3/1]]
| [[3edt|3ed3/1]]
| [[Alpha 3/1]]
| [[Alpha 3/1]]
| 1.892789
| 633.985000
| 1.907395926960071
| 629.130000247253548
| 3\3<3/1>, 2\3<3/1>, 1\3<3/1>
| 3\3<3/1>, 2\3<3/1>, 1\3<3/1>
| 0, 67.970001, -67.970001
| 1.89278926071437
| -14.565000, 58.260000, -72.825001
| 633.985000288462
| 0, 67.9700, -67.9700
| 1.90739592696007
| 629.130000247254
| -14.5650, 58.2600, -72.8250
|-
|-
| [[5edt|5ed3/1]]
| [[5edt|5ed3/1]]
| [[Beta 3/1]]
| [[Beta 3/1]]
| 3.154649
| 380.391000
| 3.141862316907629
| 381.939079106781893
| 5\5<3/1>, 3\5<3/1>, 2\5<3/1>
| 5\5<3/1>, 3\5<3/1>, 2\5<3/1>
| 0, -58.826999, 58.826999
| 3.15464876785729
| 7.740395, -54.182763, 61.923157
| 380.391000173077
| 0, -58.8270, 58.8270
| 3.14186231690763
| 381.939079106782
| 7.7404, -54.1828, 61.9232
|-
|-
| [[8edt|8ed3/1]]
| [[8edt|8ed3/1]]
| [[Gamma 3/1]]
| [[Gamma 3/1]]
| 5.047438
| 237.744375
| 5.042556213760587
| 237.974540913461853
| 8\8<3/1>, 5\8<3/1>, 3\8<3/1>
| 8\8<3/1>, 5\8<3/1>, 3\8<3/1>
| 0, -11.278124, 11.278124
| 5.04743802857166
| 1.841326, -10.127295, 11.968622
| 237.744375108173
| 0, -11.2781, 11.2781
| 5.04255621376059
| 237.974540913462
| 1.8413, -10.1273, 11.9686
|-
|-
| rowspan="3" | 2/1
| rowspan="3" | 2/1
Line 62: Line 62:
| [[5edo|5ed2/1]]
| [[5edo|5ed2/1]]
| [[Alpha 2/1]]
| [[Alpha 2/1]]
| 5.000000
| 240.000000
| 5.009912705090773
| 239.525131601720722
| 5\5<2/1>, 3\5<2/1>, 2\5<2/1>
| 5\5<2/1>, 3\5<2/1>, 2\5<2/1>
| 0, 18.044999, -18.044999
| 5
| -2.374342, 16.620394, -18.994736
| 240
| 0, 18.0450, -18.0450
| 5.00991270509077
| 239.525131601721
| -2.3743, 16.6204, -18.9947
|-
|-
| [[7edo|7ed2/1]]
| [[7edo|7ed2/1]]
| [[Beta 2/1]]
| [[Beta 2/1]]
| 7.000000
| 171.428571
| 6.991049802487100
| 171.648040552234965
| 7\7<2/1>, 4\7<2/1>, 3\7<2/1>
| 7\7<2/1>, 4\7<2/1>, 3\7<2/1>
| 0, -16.240715, 16.240715
| 7
| 1.536284, -15.362839, 16.899123
| 171.428571428571
| 0, -16.2407, 16.2407
| 6.99104980248710
| 171.648040552235
| 1.5363, -15.3628, 16.8991
|-
|-
| [[12edo|12ed2/1]]
| [[12edo|12ed2/1]]
| [[Gamma 2/1]]
| [[Gamma 2/1]]
| 12.000000
| 100.000000
| 11.997848091431052
| 100.017935787755848
| 12\12<2/1>, 7\12<2/1>, 5\12<2/1>
| 12\12<2/1>, 7\12<2/1>, 5\12<2/1>
| 0, -1.955001, 1.955001
| 12
| 0.215229, -1.829450, 2.044680
| 100
| 0, -1.9550, 1.9550
| 11.9978480914311
| 100.017935787756
| 0.2152, -1.8295, 2.0447
|-
|-
| rowspan="3" | 5/3
| rowspan="3" | 5/3
Line 94: Line 94:
| [[7ed5/3]]
| [[7ed5/3]]
| [[Alpha 5/3]]
| [[Alpha 5/3]]
| 9.498408
| 126.336959
| 9.505833538777849
| 126.238272015257927
| 7\7<5/3>, 4\7<5/3>, 3\7<5/3>
| 7\7<5/3>, 4\7<5/3>, 3\7<5/3>
| 0, 7.302837, -7.302837
| 9.49840814199707
| -0.690809, 6.908089, -7.598898
| 126.336958999921
| 0, 7.3028, -7.3028
| 9.50583353877785
| 126.238272015258
| -0.6908, 6.9081, -7.5989
|-
|-
| [[9ed5/3]]
| [[9ed5/3]]
| [[Beta 5/3]]
| [[Beta 5/3]]
| 12.212239
| 98.262079
| 12.205382300878206
| 98.317280886290400
| 9\9<5/3>, 5\9<5/3>, 4\9<5/3>
| 9\9<5/3>, 5\9<5/3>, 4\9<5/3>
| 0, -6.734603, 6.734603
| 12.2122390397105
| 0.496815, -6.458595, 6.955410
| 98.2620792221608
| 0, -6.7346, 6.7346
| 12.2053823008782
| 98.3172808862904
| 0.4968, -6.4586, 6.9554
|-
|-
| [[16ed5/3]]
| [[16ed5/3]]
| [[Gamma 5/3]]
| [[Gamma 5/3]]
| 21.710647
| 55.272420
| 21.709439921550910
| 55.275493257141231
| 16\16<5/3>, 9\16<5/3>, 7\16<5/3>
| 16\16<5/3>, 9\16<5/3>, 7\16<5/3>
| 0, -0.593223, 0.593223
| 21.7106471817076
| 0.049179, -0.565560, 0.614739
| 55.2724195624655
| 0, -0.5932, 0.5932
| 21.7094399215509
| 55.2754932571412
| 0.0492, -0.5656, 0.6147
|-
|-
| rowspan="3" | 3/2
| rowspan="3" | 3/2
| rowspan="3" | 5/4, 6/5
| rowspan="3" | 5/4, 6/5
| [[9edf|9ed3/2]]
| [[9edf|9ed3/2]]
| [[Carlos Alpha|Alpha 3/2]]
| [[Alpha 3/2]]
| 15.385602
| 77.995000
| 15.391523899692793
| 77.964989550121895
| 9\9<3/2>, 5\9<3/2>, 4\9<3/2>
| 9\9<3/2>, 5\9<3/2>, 4\9<3/2>
| 0, 3.661287, -3.661287
| 15.3856016221631
| -0.270095, 3.511234, -3.781329
| 77.9950000961542
| 0, 3.6613, -3.6613
| 15.3915238996928
| 77.9649895501219
| -0.2701, 3.5112, -3.7813
|-
|-
| [[11edf|11ed3/2]]
| [[11edf|11ed3/2]]
| [[Carlos Beta|Beta 3/2]]
| [[Beta 3/2]]
| 18.804624
| 63.814091
| 18.799073639411081
| 63.832932569840843
| 11\11<3/2>, 6\11<3/2>, 5\11<3/2>
| 11\11<3/2>, 6\11<3/2>, 5\11<3/2>
| 0, -3.429168, 3.429168
| 18.8046242048660
| 0.207257, -3.316118, 3.523376
| 63.8140909877625
| 0, -3.4292, 3.4292
| 18.7990736394111
| 63.8329325698408
| 0.2073, -3.3161, 3.5234
|-
|-
| [[20edf|20ed3/2]]
| [[20edf|20ed3/2]]
| [[Carlos Gamma|Gamma 3/2]]
| [[Gamma 3/2]]
| 34.190226
| 35.097750
| 34.189454092191388
| 35.098542280441702
| 20\20<3/2>, 11\20<3/2>, 9\20<3/2>
| 20\20<3/2>, 11\20<3/2>, 9\20<3/2>
| 0, -0.238463, 0.238463
| 34.1902258270291
| 0.015845, -0.229749, 0.245594
| 35.0977500432694
| 0, -0.2385, 0.2385
| 34.1894540921914
| 35.0985422804417
| 0.0158, -0.2297, 0.2456
|-
|-
| rowspan="3" | 7/5
| rowspan="3" | 7/5
Line 158: Line 158:
| [[11ed7/5]]
| [[11ed7/5]]
| [[Alpha 7/5]]
| [[Alpha 7/5]]
| 22.660470
| 52.955654
| 22.665391113336561
| 52.944155871808760
| 11\11<7/5>, 6\11<7/5>, 5\11<7/5>
| 11\11<7/5>, 6\11<7/5>, 5\11<7/5>
| 0, 2.092636, -2.092636
| 22.6604698881676
| -0.126478, 2.023648, -2.150126
| 52.9556538731173
| 0, 2.0926, -2.0926
| 22.6653911133366
| 52.9441558718088
| -0.1265, 2.0236, -2.1501
|-
|-
| [[13ed7/5]]
| [[13ed7/5]]
| [[Beta 7/5]]
| [[Beta 7/5]]
| 26.780555
| 44.808630
| 26.775895108856630
| 44.816428923157735
| 13\13<7/5>, 7\13<7/5>, 6\13<7/5>
| 13\13<7/5>, 7\13<7/5>, 6\13<7/5>
| 0, -1.980876, 1.980876
| 26.7805553223799
| 0.101383, -1.926285, 2.027668
| 44.8086302003300
| 0, -1.9809, 1.9809
| 26.7758951088566
| 44.8164289231577
| 0.1014, -1.9263, 2.0277
|-
|-
| [[24ed7/5]]
| [[24ed7/5]]
| [[Gamma 7/5]]
| [[Gamma 7/5]]
| 49.441025
| 24.271341
| 49.440489621601243
| 24.271604290013001
| 24\24<7/5>, 13\24<7/5>, 11\24<7/5>
| 24\24<7/5>, 13\24<7/5>, 11\24<7/5>
| 0, -0.113849, 0.113849
| 49.4410252105475
| 0.006310, -0.110431, 0.116742
| 24.2713413585121
| 0, -0.1138, 0.1138
| 49.4404896216012
| 24.2716042900130
| 0.0063, -0.1104, 0.1167
|-
|-
| rowspan="3" | 4/3
| rowspan="3" | 4/3
Line 190: Line 190:
| [[13ed4/3]]
| [[13ed4/3]]
| [[Alpha 4/3]]
| [[Alpha 4/3]]
| 31.322471
| 38.311154
| 31.326679032092577
| 38.306007437643215
| 13\13<4/3>, 7\13<4/3>, 6\13<4/3>
| 13\13<4/3>, 7\13<4/3>, 6\13<4/3>
| 0, 1.307171, -1.307171
| 31.3224709154917
| -0.066902, 1.271146, -1.338049
| 38.3111537795856
| 0, 1.3072, -1.3072
| 31.3266790320926
| 38.3060074376432
| -0.0669, 1.2711, -1.3380
|-
|-
| [[15ed4/3]]
| [[15ed4/3]]
| [[Beta 4/3]]
| [[Beta 4/3]]
| 36.141313
| 33.203000
| 36.137297503882719
| 33.206689013506551
| 15\15<4/3>, 8\15<4/3>, 7\15<4/3>
| 15\15<4/3>, 8\15<4/3>, 7\15<4/3>
| 0, -1.246906, 1.246906
| 36.1413125947981
| 0.055336, -1.217393, 1.272730
| 33.2029999423075
| 0, -1.2469, 1.2469
| 36.1372975038827
| 33.2066890135066
| 0.0553, -1.2174, 1.2727
|-
|-
| [[28ed4/3]]
| [[28ed4/3]]
| [[Gamma 4/3]]
| [[Gamma 4/3]]
| 67.463784
| 17.787321
| 67.463390164664623
| 17.787425106728855
| 28\28<4/3>, 15\28<4/3>, 13\28<4/3>
| 28\28<4/3>, 15\28<4/3>, 13\28<4/3>
| 0, -0.061085, 0.061085
| 67.4637835102899
| 0.002904, -0.059529, 0.062433
| 17.7873213976647
| 0, -0.0611, 0.0611
| 67.4633901646646
| 17.7874251067289
| 0.0029, -0.0595, 0.0624
|-
|-
| rowspan="3" | 9/7
| rowspan="3" | 9/7
Line 222: Line 222:
| [[15ed9/7]]
| [[15ed9/7]]
| [[Alpha 9/7]]
| [[Alpha 9/7]]
| 41.371312
| 29.005606
| 41.374987163985893
| 29.003030145820039
| 15\15<9/7>, 8\15<9/7>, 7\15<9/7>
| 15\15<9/7>, 8\15<9/7>, 7\15<9/7>
| 0, 0.870757, -0.870757
| 41.3713123417559
| -0.038643, 0.850148, -0.888791
| 29.0056063507767
| 0, 0.8708, -0.8708
| 41.3749871639859
| 29.0030301458200
| -0.0386, 0.8501, -0.8888
|-
|-
| [[17ed9/7]]
| [[17ed9/7]]
| [[Beta 9/7]]
| [[Beta 9/7]]
| 46.887487
| 25.593182
| 46.883960906871343
| 25.595107085419638
| 17\17<9/7>, 9\17<9/7>, 8\17<9/7>
| 17\17<9/7>, 9\17<9/7>, 8\17<9/7>
| 0, -0.835455, 0.835455
| 46.8874873206567
| 0.032725, -0.818130, 0.850855
| 25.5931820742147
| 0, -0.8355, 0.8355
| 46.8839609068713
| 25.5951070854196
| 0.0327, -0.8181, 0.8509
|-
|-
| [[32ed9/7]]
| [[32ed9/7]]
| [[Gamma 9/7]]
| [[Gamma 9/7]]
| 88.258800
| 13.596378
| 88.258498580415662
| 13.596424359141285
| 32\32<9/7>, 17\32<9/7>, 15\32<9/7>
| 32\32<9/7>, 17\32<9/7>, 15\32<9/7>
| 0, -0.035668, 0.035668
| 88.2587996624126
| 0.001484, -0.034879, 0.036364
| 13.5963779769266
| 0, -0.0357, 0.0357
| 88.2584985804157
| 13.5964243591413
| 0.0015, -0.0349, 0.0364
|-
|-
| rowspan="3" | 5/4
| rowspan="3" | 5/4
Line 254: Line 254:
| [[17ed5/4]]
| [[17ed5/4]]
| [[Alpha 5/4]]
| [[Alpha 5/4]]
| 52.806823
| 22.724336
| 52.810084374305705
| 22.722932830303330
| 17\17<5/4>, 9\17<5/4>, 8\17<5/4>
| 17\17<5/4>, 9\17<5/4>, 8\17<5/4>
| 0, 0.609023, -0.609023
| 52.8068232315916
| -0.023856, 0.596394, -0.620249
| 22.7243361096962
| 0, 0.6090, -0.6090
| 52.8100843743057
| 22.7229328303033
| -0.0239, 0.5964, -0.6202
|-
|-
| [[19ed5/4]]
| [[19ed5/4]]
| [[Beta 5/4]]
| [[Beta 5/4]]
| 59.019391
| 20.332301
| 59.016247125030467
| 20.333383745288099
| 19\19<5/4>, 10\19<5/4>, 9\19<5/4>
| 19\19<5/4>, 10\19<5/4>, 9\19<5/4>
| 0, -0.586994, 0.586994
| 59.0193906706024
| 0.020577, -0.576164, 0.596742
| 20.3323007297281
| 0, -0.5870, 0.5870
| 59.0162471250305
| 20.3333837452881
| 0.0206, -0.5762, 0.5967
|-
|-
| [[36ed5/4]]
| [[36ed5/4]]
| [[Gamma 5/4]]
| [[Gamma 5/4]]
| 111.826214
| 10.730936
| 111.825976049765954
| 10.730959320810789
| 36\36<5/4>, 19\36<5/4>, 17\36<5/4>
| 36\36<5/4>, 19\36<5/4>, 17\36<5/4>
| 0, -0.022208, 0.022208
| 111.826213902194
| 0.000822, -0.021775, 0.022596
| 10.7309364962454
| 0, -0.0222, 0.0222
| 111.825976049766
| 10.7309593208108
| 0.0008, -0.0218, 0.0226
|-
|-
| rowspan="3" | 11/9
| rowspan="3" | 11/9
Line 286: Line 286:
| [[19ed11/9]]
| [[19ed11/9]]
| [[Alpha 11/9]]
| [[Alpha 11/9]]
| 65.628897
| 18.284628
| 65.631828119476568
| 18.283811900157846
| 19\19<11/9>, 10\19<11/9>, 9\19<11/9>
| 19\19<11/9>, 10\19<11/9>, 9\19<11/9>
| 0, 0.442572, -0.442572
| 65.6288971357202
| -0.015515, 0.434407, -0.449921
| 18.2846284544201
| 0, 0.4426, -0.4426
| 65.6318281194766
| 18.2838119001578
| -0.0155, 0.4344, -0.4499
|-
|-
| [[21ed11/9]]
| [[21ed11/9]]
| [[Beta 11/9]]
| [[Beta 11/9]]
| 72.537202
| 16.543235
| 72.534366561494206
| 16.543881981552112
| 21\21<11/9>, 11\21<11/9>, 10\21<11/9>
| 21\21<11/9>, 11\21<11/9>, 10\21<11/9>
| 0, -0.428124, 0.428124
| 72.5372020973750
| 0.013581, -0.421010, 0.434591
| 16.5432352682849
| 0, -0.4281, 0.4281
| 72.5343665614942
| 16.5438819815521
| 0.0136, -0.4210, 0.4346
|-
|-
| [[40ed11/9]]
| [[40ed11/9]]
| [[Gamma 11/9]]
| [[Gamma 11/9]]
| 138.166099
| 8.685199
| 138.165906595462172
| 8.685210625176124
| 40\40<11/9>, 21\40<11/9>, 19\40<11/9>
| 40\40<11/9>, 21\40<11/9>, 19\40<11/9>
| 0, -0.014543, 0.014543
| 138.166099233095
| 0.000484, -0.014289, 0.014773
| 8.68519851584955
| 0, -0.0145, 0.0145
| 138.165906595462
| 8.68521062517612
| 0.0005, -0.0143, 0.0148
|-
|-
| rowspan="3" | 6/5
| rowspan="3" | 6/5
Line 318: Line 318:
| [[21ed6/5]]
| [[21ed6/5]]
| [[Alpha 6/5]]
| [[Alpha 6/5]]
| 79.837464
| 15.030537
| 79.840125772190183
| 15.030036443379233
| 21\21<6/5>, 11\21<6/5>, 10\21<6/5>
| 21\21<6/5>, 11\21<6/5>, 10\21<6/5>
| 0, 0.331684, -0.331684
| 79.8374643554025
| -0.010522, 0.326172, -0.336694
| 15.0305374762168
| 0, 0.3317, -0.3317
| 79.8401257721902
| 15.0300364433792
| -0.0105, 0.3262, -0.3367
|-
|-
| [[23ed6/5]]
| [[23ed6/5]]
| [[Beta 6/5]]
| [[Beta 6/5]]
| 87.441032
| 13.723534
| 87.438449973495273
| 13.723939529620542
| 23\23<6/5>, 12\23<6/5>, 11\23<6/5>
| 23\23<6/5>, 12\23<6/5>, 11\23<6/5>
| 0, -0.321818, 0.321818
| 87.4410323892504
| 0.009322, -0.316954, 0.326276
| 13.7235342174153
| 0, -0.3218, 0.3218
| 87.4384499734953
| 13.7239395296205
| 0.0093, -0.3170, 0.3263
|-
|-
| [[44ed6/5]]
| [[44ed6/5]]
| [[Gamma 6/5]]
| [[Gamma 6/5]]
| 167.278497
| 7.173666
| 167.278337553931523
| 7.173672440480304
| 44\44<6/5>, 23\44<6/5>, 21\44<6/5>
| 44\44<6/5>, 23\44<6/5>, 21\44<6/5>
| 0, -0.009919, 0.009919
| 167.278496744653
| 0.000300, -0.009762, 0.010063
| 7.17366561364892
| 0, -0.0099, 0.0099
| 167.278337553932
| 7.17367244048030
| 0.0003, -0.0098, 0.0101
|-
|-
| rowspan="3" | 13/11
| rowspan="3" | 13/11
Line 350: Line 350:
| [[23ed13/11]]
| [[23ed13/11]]
| [[Alpha 13/11]]
| [[Alpha 13/11]]
| 95.432477
| 12.574336
| 95.434914550823771
| 12.574014506618971
| 23\23<13/11>, 12\23<13/11>, 11\23<13/11>
| 23\23<13/11>, 12\23<13/11>, 11\23<13/11>
| 0, 0.254969, -0.254969
| 95.4324773621886
| -0.007386, 0.251116, -0.258501
| 12.5743356262850
| 0, 0.2550, -0.2550
| 95.4349145508238
| 12.5740145066190
| -0.0074, 0.2511, -0.2585
|-
|-
| [[25ed13/11]]
| [[25ed13/11]]
| [[Beta 13/11]]
| [[Beta 13/11]]
| 103.730954
| 11.568389
| 103.728582924336770
| 11.568653173208022
| 25\25<13/11>, 13\25<13/11>, 12\25<13/11>
| 25\25<13/11>, 13\25<13/11>, 12\25<13/11>
| 0, -0.248004, 0.248004
| 103.730953654553
| 0.006610, -0.244567, 0.251177
| 11.5683887761822
| 0, -0.2480, 0.2480
| 103.728582924337
| 11.5686531732080
| 0.0066, -0.2446, 0.2512
|-
|-
| [[48ed13/11]]
| [[48ed13/11]]
| [[Gamma 13/11]]
| [[Gamma 13/11]]
| 199.163431
| 6.025202
| 199.163297261207502
| 6.025206534044126
| 48\48<13/11>, 25\48<13/11>, 23\48<13/11>
| 48\48<13/11>, 25\48<13/11>, 23\48<13/11>
| 0, -0.006996, 0.006996
| 199.163431016741
| 0.000194, -0.006895, 0.007089
| 6.02520248759487
| 0, -0.0070, 0.0070
| 199.163297261208
| 6.02520653404413
| 0.0002, -0.0069, 0.0071
|-
|-
| rowspan="3" | 7/6
| rowspan="3" | 7/6
Line 382: Line 382:
| [[25ed7/6]]
| [[25ed7/6]]
| [[Alpha 7/6]]
| [[Alpha 7/6]]
| 112.413903
| 10.674836
| 112.416150402630623
| 10.674622780642016
| 25\25<7/6>, 13\25<7/6>, 12\25<7/6>
| 25\25<7/6>, 13\25<7/6>, 12\25<7/6>
| 0, 0.200210, -0.200210
| 112.413902640048
| -0.005336, 0.197435, -0.202771
| 10.6748362241495
| 0, 0.2002, -0.2002
| 112.416150402631
| 10.6746227806420
| -0.0053, 0.1974, -0.2028
|-
|-
| [[27ed7/6]]
| [[27ed7/6]]
| [[Beta 7/6]]
| [[Beta 7/6]]
| 121.407015
| 9.884108
| 121.404823766036118
| 9.884286000962910
| 27\27<7/6>, 14\27<7/6>, 13\27<7/6>
| 27\27<7/6>, 14\27<7/6>, 13\27<7/6>
| 0, -0.195154, 0.195154
| 121.407014851252
| 0.004816, -0.192657, 0.197473
| 9.88410761495324
| 0, -0.1952, 0.1952
| 121.404823766036
| 9.88428600096291
| 0.0048, -0.1927, 0.1975
|-
|-
| [[52ed7/6]]
| [[52ed7/6]]
| [[Gamma 7/6]]
| [[Gamma 7/6]]
| 233.820917
| 5.132133
| 233.820803527976982
| 5.132135301452842
| 52\52<7/6>, 27\52<7/6>, 25\52<7/6>
| 52\52<7/6>, 27\52<7/6>, 25\52<7/6>
| 0, -0.005075, 0.005075
| 233.820917491300
| 0.000130, -0.005008, 0.005138
| 5.13213280007188
| 0, -0.0051, 0.0051
| 233.820803527977
| 5.13213530145284
| 0.0001, -0.0050, 0.0051
|-
|-
| rowspan="3" | 15/13
| rowspan="3" | 15/13
Line 414: Line 414:
| [[27ed15/13]]
| [[27ed15/13]]
| [[Alpha 15/13]]
| [[Alpha 15/13]]
| 130.781716
| 9.175595
| 130.783801507844919
| 9.175448229557843
| 27\27<15/13>, 14\27<15/13>, 13\27<15/13>
| 27\27<15/13>, 14\27<15/13>, 13\27<15/13>
| 0, 0.160079, -0.160079
| 130.781715879411
| -0.003951, 0.158031, -0.161981
| 9.17559455410784
| 0, 0.1601, -0.1601
| 130.783801507845
| 9.17544822955784
| -0.0040, 0.1580, -0.1620
|-
|-
| [[29ed15/13]]
| [[29ed15/13]]
| [[Beta 15/13]]
| [[Beta 15/13]]
| 140.469250
| 8.542795
| 140.467213664559518
| 8.542918797162452
| 29\29<15/13>, 15\29<15/13>, 14\29<15/13>
| 29\29<15/13>, 15\29<15/13>, 14\29<15/13>
| 0, -0.156321, 0.156321
| 140.469250388997
| 0.003592, -0.154463, 0.158055
| 8.54279492968661
| 0, -0.1563, 0.1563
| 140.467213664560
| 8.54291879716245
| 0.0036, -0.1545, 0.1581
|-
|-
| [[56ed15/13]]
| [[56ed15/13]]
| [[Gamma 15/13]]
| [[Gamma 15/13]]
| 271.250966
| 4.423947
| 271.250868008139347
| 4.423948976871078
| 56\56<15/13>, 29\56<15/13>, 27\56<15/13>
| 56\56<15/13>, 29\56<15/13>, 27\56<15/13>
| 0, -0.003771, 0.003771
| 271.250966268408
| 0.000090, -0.003724, 0.003814
| 4.42394737430199
| 0, -0.0038, 0.0038
| 271.250868008139
| 4.42394897687108
| 0.0001, -0.0037, 0.0038
|-
|-
| rowspan="3" | 8/7
| rowspan="3" | 8/7
Line 446: Line 446:
| [[29ed8/7]]
| [[29ed8/7]]
| [[Alpha 8/7]]
| [[Alpha 8/7]]
| 150.535899
| 7.971520
| 150.537844310638475
| 7.971417456488689
| 29\29<8/7>, 15\29<8/7>, 14\29<8/7>
| 29\29<8/7>, 15\29<8/7>, 14\29<8/7>
| 0, 0.129999, -0.129999
| 150.535899020849
| -0.002987, 0.128454, -0.131441
| 7.97152046658190
| 0, 0.1300, -0.1300
| 150.537844310638
| 7.97141745648869
| -0.0030, 0.1285, -0.1314
|-
|-
| [[31ed8/7]]
| [[31ed8/7]]
| [[Beta 8/7]]
| [[Beta 8/7]]
| 160.917685
| 7.457229
| 160.915782495277457
| 7.457316997698579
| 31\31<8/7>, 16\31<8/7>, 15\31<8/7>
| 31\31<8/7>, 16\31<8/7>, 15\31<8/7>
| 0, -0.127147, 0.127147
| 160.917685160217
| 0.002733, -0.125736, 0.128470
| 7.45722882357662
| 0, -0.1271, 0.1271
| 160.915782495277
| 7.45731699769858
| 0.0027, -0.1257, 0.1285
|-
|-
| [[60ed8/7]]
| [[60ed8/7]]
| [[Gamma 8/7]]
| [[Gamma 8/7]]
| 311.453584
| 3.852902
| 311.453498588281532
| 3.852902617691610
| 60\60<8/7>, 31\60<8/7>, 29\60<8/7>
| 60\60<8/7>, 31\60<8/7>, 29\60<8/7>
| 0, -0.002860, 0.002860
| 311.453584181066
| 0.000064, -0.002827, 0.002891
| 3.85290155884792
| 0, -0.0029, 0.0029
| 311.453498588282
| 3.85290261769161
| 0.0001, -0.0028, 0.0029
|}
|}
{{todo|Temperaments|inline=1|comment=Compute the temperaments associated to each Alpha-Beta-Gamma scales.}}
{{todo|Temperaments|inline=1|comment=Compute the temperaments associated to each Alpha-Beta-Gamma scales.}}