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

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Line 14: Line 14:
{| class="wikitable"
{| class="wikitable"
|-
|-
| Alpha 3/1
| rowspan="3" | 3/1
| 3ed3/1
| rowspan="3" | 2/1, 3/2
| [[3edt|3ed3/1]]
| [[Alpha 3/1]]
| 1.892789
| 1.892789
| 633.985000
| 633.985000
| 1.907395926960071
| 1.907395926960071
| 629.130000247253548
| 629.130000247253548
| rowspan="3" | 3/1, 2/1, 3/2
| 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, 67.9700, -67.9700
| 0, 67.970001, -67.970001
| -14.5650, 58.2600, -72.8250
| -14.565000, 58.260000, -72.825001
|-
|-
| Beta 3/1
| [[5edt|5ed3/1]]
| 5ed3/1
| [[Beta 3/1]]
| 3.154649
| 3.154649
| 380.391000
| 380.391000
Line 32: Line 33:
| 381.939079106781893
| 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, -58.8270, 58.8270
| 0, -58.826999, 58.826999
| 7.7404, -54.1828, 61.9232
| 7.740395, -54.182763, 61.923157
|-
|-
| Gamma 3/1
| [[8edt|8ed3/1]]
| 8ed3/1
| [[Gamma 3/1]]
| 5.047438
| 5.047438
| 237.744375
| 237.744375
Line 42: Line 43:
| 237.974540913461853
| 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, -11.2781, 11.2781
| 0, -11.278124, 11.278124
| 1.8413, -10.1273, 11.9686
| 1.841326, -10.127295, 11.968622
|-
|-
| Alpha 2/1
| rowspan="3" | 2/1
| 5ed2/1
| rowspan="3" | 3/2, 4/3
| [[5edo|5ed2/1]]
| [[Alpha 2/1]]
| 5.000000
| 5.000000
| 240.000000
| 240.000000
| 5.009912705090773
| 5.009912705090773
| 239.525131601720722
| 239.525131601720722
| rowspan="3" | 2/1, 3/2, 4/3
| 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, 18.0450, -18.0450
| 0, 18.044999, -18.044999
| -2.3743, 16.6204, -18.9947
| -2.374342, 16.620394, -18.994736
|-
|-
| Beta 2/1
| [[7edo|7ed2/1]]
| 7ed2/1
| [[Beta 2/1]]
| 7.000000
| 7.000000
| 171.428571
| 171.428571
Line 63: Line 65:
| 171.648040552234965
| 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, -16.2407, 16.2407
| 0, -16.240715, 16.240715
| 1.5363, -15.3628, 16.8991
| 1.536284, -15.362839, 16.899123
|-
|-
| Gamma 2/1
| [[12edo|12ed2/1]]
| 12ed2/1
| [[Gamma 2/1]]
| 12.000000
| 12.000000
| 100.000000
| 100.000000
Line 73: Line 75:
| 100.017935787755848
| 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, -1.9550, 1.9550
| 0, -1.955001, 1.955001
| 0.2152, -1.8295, 2.0447
| 0.215229, -1.829450, 2.044680
|-
|-
| Alpha 5/3
| rowspan="3" | 5/3
| 7ed5/3
| rowspan="3" | 4/3, 5/4
| [[7ed5/3]]
| [[Alpha 5/3]]
| 9.498408
| 9.498408
| 126.336959
| 126.336959
| 9.505833538777849
| 9.505833538777849
| 126.238272015257927
| 126.238272015257927
| rowspan="3" | 5/3, 4/3, 5/4
| 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, 7.3028, -7.3028
| 0, 7.302837, -7.302837
| -0.6908, 6.9081, -7.5989
| -0.690809, 6.908089, -7.598898
|-
|-
| Beta 5/3
| [[9ed5/3]]
| 9ed5/3
| [[Beta 5/3]]
| 12.212239
| 12.212239
| 98.262079
| 98.262079
Line 94: Line 97:
| 98.317280886290400
| 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, -6.7346, 6.7346
| 0, -6.734603, 6.734603
| 0.4968, -6.4586, 6.9554
| 0.496815, -6.458595, 6.955410
|-
|-
| Gamma 5/3
| [[16ed5/3]]
| 16ed5/3
| [[Gamma 5/3]]
| 21.710647
| 21.710647
| 55.272420
| 55.272420
Line 104: Line 107:
| 55.275493257141231
| 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, -0.5932, 0.5932
| 0, -0.593223, 0.593223
| 0.0492, -0.5656, 0.6147
| 0.049179, -0.565560, 0.614739
|-
|-
| Alpha 3/2
| rowspan="3" | 3/2
| 9ed3/2
| rowspan="3" | 5/4, 6/5
| [[9edf|9ed3/2]]
| [[Alpha 3/2]]
| 15.385602
| 15.385602
| 77.995000
| 77.995000
| 15.391523899692793
| 15.391523899692793
| 77.964989550121895
| 77.964989550121895
| rowspan="3" | 3/2, 5/4, 6/5
| 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, 3.6613, -3.6613
| 0, 3.661287, -3.661287
| -0.2701, 3.5112, -3.7813
| -0.270095, 3.511234, -3.781329
|-
|-
| Beta 3/2
| [[11edf|11ed3/2]]
| 11ed3/2
| [[Beta 3/2]]
| 18.804624
| 18.804624
| 63.814091
| 63.814091
Line 125: Line 129:
| 63.832932569840843
| 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, -3.4292, 3.4292
| 0, -3.429168, 3.429168
| 0.2073, -3.3161, 3.5234
| 0.207257, -3.316118, 3.523376
|-
|-
| Gamma 3/2
| [[20edf|20ed3/2]]
| 20ed3/2
| [[Gamma 3/2]]
| 34.190226
| 34.190226
| 35.097750
| 35.097750
Line 135: Line 139:
| 35.098542280441702
| 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, -0.2385, 0.2385
| 0, -0.238463, 0.238463
| 0.0158, -0.2297, 0.2456
| 0.015845, -0.229749, 0.245594
|-
|-
| Alpha 7/5
| rowspan="3" | 7/5
| 11ed7/5
| rowspan="3" | 6/5, 7/6
| [[11ed7/5]]
| [[Alpha 7/5]]
| 22.660470
| 22.660470
| 52.955654
| 52.955654
| 22.665391113336561
| 22.665391113336561
| 52.944155871808760
| 52.944155871808760
| rowspan="3" | 7/5, 6/5, 7/6
| 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, 2.0926, -2.0926
| 0, 2.092636, -2.092636
| -0.1265, 2.0236, -2.1501
| -0.126478, 2.023648, -2.150126
|-
|-
| Beta 7/5
| [[13ed7/5]]
| 13ed7/5
| [[Beta 7/5]]
| 26.780555
| 26.780555
| 44.808630
| 44.808630
Line 156: Line 161:
| 44.816428923157735
| 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, -1.9809, 1.9809
| 0, -1.980876, 1.980876
| 0.1014, -1.9263, 2.0277
| 0.101383, -1.926285, 2.027668
|-
|-
| Gamma 7/5
| [[24ed7/5]]
| 24ed7/5
| [[Gamma 7/5]]
| 49.441025
| 49.441025
| 24.271341
| 24.271341
Line 166: Line 171:
| 24.271604290013001
| 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, -0.1138, 0.1138
| 0, -0.113849, 0.113849
| 0.0063, -0.1104, 0.1167
| 0.006310, -0.110431, 0.116742
|-
|-
| Alpha 4/3
| rowspan="3" | 4/3
| 13ed4/3
| rowspan="3" | 7/6, 8/7
| [[13ed4/3]]
| [[Alpha 4/3]]
| 31.322471
| 31.322471
| 38.311154
| 38.311154
| 31.326679032092577
| 31.326679032092577
| 38.306007437643215
| 38.306007437643215
| rowspan="3" | 4/3, 7/6, 8/7
| 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, 1.3072, -1.3072
| 0, 1.307171, -1.307171
| -0.0669, 1.2711, -1.3380
| -0.066902, 1.271146, -1.338049
|-
|-
| Beta 4/3
| [[15ed4/3]]
| 15ed4/3
| [[Beta 4/3]]
| 36.141313
| 36.141313
| 33.203000
| 33.203000
Line 187: Line 193:
| 33.206689013506551
| 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, -1.2469, 1.2469
| 0, -1.246906, 1.246906
| 0.0553, -1.2174, 1.2727
| 0.055336, -1.217393, 1.272730
|-
|-
| Gamma 4/3
| [[28ed4/3]]
| 28ed4/3
| [[Gamma 4/3]]
| 67.463784
| 67.463784
| 17.787321
| 17.787321
Line 197: Line 203:
| 17.787425106728855
| 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, -0.0611, 0.0611
| 0, -0.061085, 0.061085
| 0.0029, -0.0595, 0.0624
| 0.002904, -0.059529, 0.062433
|-
|-
| Alpha 9/7
| rowspan="3" | 9/7
| 15ed9/7
| rowspan="3" | 8/7, 9/8
| [[15ed9/7]]
| [[Alpha 9/7]]
| 41.371312
| 41.371312
| 29.005606
| 29.005606
| 41.374987163985893
| 41.374987163985893
| 29.003030145820039
| 29.003030145820039
| rowspan="3" | 9/7, 8/7, 9/8
| 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, 0.8708, -0.8708
| 0, 0.870757, -0.870757
| -0.0386, 0.8501, -0.8888
| -0.038643, 0.850148, -0.888791
|-
|-
| Beta 9/7
| [[17ed9/7]]
| 17ed9/7
| [[Beta 9/7]]
| 46.887487
| 46.887487
| 25.593182
| 25.593182
Line 218: Line 225:
| 25.595107085419638
| 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, -0.8355, 0.8355
| 0, -0.835455, 0.835455
| 0.0327, -0.8181, 0.8509
| 0.032725, -0.818130, 0.850855
|-
|-
| Gamma 9/7
| [[32ed9/7]]
| 32ed9/7
| [[Gamma 9/7]]
| 88.258800
| 88.258800
| 13.596378
| 13.596378
Line 228: Line 235:
| 13.596424359141285
| 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, -0.0357, 0.0357
| 0, -0.035668, 0.035668
| 0.0015, -0.0349, 0.0364
| 0.001484, -0.034879, 0.036364
|-
|-
| Alpha 5/4
| rowspan="3" | 5/4
| 17ed5/4
| rowspan="3" | 9/8, 10/9
| [[17ed5/4]]
| [[Alpha 5/4]]
| 52.806823
| 52.806823
| 22.724336
| 22.724336
| 52.810084374305705
| 52.810084374305705
| 22.722932830303330
| 22.722932830303330
| rowspan="3" | 5/4, 9/8, 10/9
| 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, 0.6090, -0.6090
| 0, 0.609023, -0.609023
| -0.0239, 0.5964, -0.6202
| -0.023856, 0.596394, -0.620249
|-
|-
| Beta 5/4
| [[19ed5/4]]
| 19ed5/4
| [[Beta 5/4]]
| 59.019391
| 59.019391
| 20.332301
| 20.332301
Line 249: Line 257:
| 20.333383745288099
| 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, -0.5870, 0.5870
| 0, -0.586994, 0.586994
| 0.0206, -0.5762, 0.5967
| 0.020577, -0.576164, 0.596742
|-
|-
| Gamma 5/4
| [[36ed5/4]]
| 36ed5/4
| [[Gamma 5/4]]
| 111.826214
| 111.826214
| 10.730936
| 10.730936
Line 259: Line 267:
| 10.730959320810789
| 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, -0.0222, 0.0222
| 0, -0.022208, 0.022208
| 0.0008, -0.0218, 0.0226
| 0.000822, -0.021775, 0.022596
|-
|-
| Alpha 11/9
| rowspan="3" | 11/9
| 19ed11/9
| rowspan="3" | 10/9, 11/10
| [[19ed11/9]]
| [[Alpha 11/9]]
| 65.628897
| 65.628897
| 18.284628
| 18.284628
| 65.631828119476568
| 65.631828119476568
| 18.283811900157846
| 18.283811900157846
| rowspan="3" | 11/9, 10/9, 11/10
| 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, 0.4426, -0.4426
| 0, 0.442572, -0.442572
| -0.0155, 0.4344, -0.4499
| -0.015515, 0.434407, -0.449921
|-
|-
| Beta 11/9
| [[21ed11/9]]
| 21ed11/9
| [[Beta 11/9]]
| 72.537202
| 72.537202
| 16.543235
| 16.543235
Line 280: Line 289:
| 16.543881981552112
| 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, -0.4281, 0.4281
| 0, -0.428124, 0.428124
| 0.0136, -0.4210, 0.4346
| 0.013581, -0.421010, 0.434591
|-
|-
| Gamma 11/9
| [[40ed11/9]]
| 40ed11/9
| [[Gamma 11/9]]
| 138.166099
| 138.166099
| 8.685199
| 8.685199
Line 290: Line 299:
| 8.685210625176124
| 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, -0.0145, 0.0145
| 0, -0.014543, 0.014543
| 0.0005, -0.0143, 0.0148
| 0.000484, -0.014289, 0.014773
|-
|-
| Alpha 6/5
| rowspan="3" | 6/5
| 21ed6/5
| rowspan="3" | 11/10, 12/11
| [[21ed6/5]]
| [[Alpha 6/5]]
| 79.837464
| 79.837464
| 15.030537
| 15.030537
| 79.840125772190183
| 79.840125772190183
| 15.030036443379233
| 15.030036443379233
| 6/5, 11/10, 12/11
| 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, 0.3317, -0.3317
| 0, 0.331684, -0.331684
| -0.0105, 0.3262, -0.3367
| -0.010522, 0.326172, -0.336694
|-
|-
| Beta 6/5
| [[23ed6/5]]
| 23ed6/5
| [[Beta 6/5]]
| 87.441032
| 87.441032
| 13.723534
| 13.723534
| 87.438449973495273
| 87.438449973495273
| 13.723939529620542
| 13.723939529620542
| 6/5, 11/10, 12/11
| 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, -0.3218, 0.3218
| 0, -0.321818, 0.321818
| 0.0093, -0.3170, 0.3263
| 0.009322, -0.316954, 0.326276
|-
|-
| Gamma 6/5
| [[44ed6/5]]
| 44ed6/5
| [[Gamma 6/5]]
| 167.278497
| 167.278497
| 7.173666
| 7.173666
| 167.278337553931523
| 167.278337553931523
| 7.173672440480304
| 7.173672440480304
| 6/5, 11/10, 12/11
| 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, -0.0099, 0.0099
| 0, -0.009919, 0.009919
| 0.0003, -0.0098, 0.0101
| 0.000300, -0.009762, 0.010063
|-
|-
| Alpha 13/11
| rowspan="3" | 13/11
| 23ed13/11
| rowspan="3" | 12/11, 13/12
| [[23ed13/11]]
| [[Alpha 13/11]]
| 95.432477
| 95.432477
| 12.574336
| 12.574336
| 95.434914550823771
| 95.434914550823771
| 12.574014506618971
| 12.574014506618971
| 13/11, 12/11, 13/12
| 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, 0.2550, -0.2550
| 0, 0.254969, -0.254969
| -0.0074, 0.2511, -0.2585
| -0.007386, 0.251116, -0.258501
|-
|-
| Beta 13/11
| [[25ed13/11]]
| 25ed13/11
| [[Beta 13/11]]
| 103.730954
| 103.730954
| 11.568389
| 11.568389
| 103.728582924336770
| 103.728582924336770
| 11.568653173208022
| 11.568653173208022
| 13/11, 12/11, 13/12
| 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, -0.2480, 0.2480
| 0, -0.248004, 0.248004
| 0.0066, -0.2446, 0.2512
| 0.006610, -0.244567, 0.251177
|-
|-
| Gamma 13/11
| [[48ed13/11]]
| 48ed13/11
| [[Gamma 13/11]]
| 199.163431
| 199.163431
| 6.025202
| 6.025202
| 199.163297261207502
| 199.163297261207502
| 6.025206534044126
| 6.025206534044126
| 13/11, 12/11, 13/12
| 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, -0.0070, 0.0070
| 0, -0.006996, 0.006996
| 0.0002, -0.0069, 0.0071
| 0.000194, -0.006895, 0.007089
|-
|-
| Alpha 7/6
| rowspan="3" | 7/6
| 25ed7/6
| rowspan="3" | 13/12, 14/13
| [[25ed7/6]]
| [[Alpha 7/6]]
| 112.413903
| 112.413903
| 10.674836
| 10.674836
| 112.416150402630623
| 112.416150402630623
| 10.674622780642016
| 10.674622780642016
| 7/6, 13/12, 14/13
| 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, 0.2002, -0.2002
| 0, 0.200210, -0.200210
| -0.0053, 0.1974, -0.2028
| -0.005336, 0.197435, -0.202771
|-
|-
| Beta 7/6
| [[27ed7/6]]
| 27ed7/6
| [[Beta 7/6]]
| 121.407015
| 121.407015
| 9.884108
| 9.884108
| 121.404823766036118
| 121.404823766036118
| 9.884286000962910
| 9.884286000962910
| 7/6, 13/12, 14/13
| 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, -0.1952, 0.1952
| 0, -0.195154, 0.195154
| 0.0048, -0.1927, 0.1975
| 0.004816, -0.192657, 0.197473
|-
|-
| Gamma 7/6
| [[52ed7/6]]
| 52ed7/6
| [[Gamma 7/6]]
| 233.820917
| 233.820917
| 5.132133
| 5.132133
| 233.820803527976982
| 233.820803527976982
| 5.132135301452842
| 5.132135301452842
| 7/6, 13/12, 14/13
| 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, -0.0051, 0.0051
| 0, -0.005075, 0.005075
| 0.0001, -0.0050, 0.0051
| 0.000130, -0.005008, 0.005138
|-
|-
| Alpha 15/13
| rowspan="3" | 15/13
| 27ed15/13
| rowspan="3" | 14/13, 15/14
| [[27ed15/13]]
| [[Alpha 15/13]]
| 130.781716
| 130.781716
| 9.175595
| 9.175595
| 130.783801507844919
| 130.783801507844919
| 9.175448229557843
| 9.175448229557843
| 15/13, 14/13, 15/14
| 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, 0.1601, -0.1601
| 0, 0.160079, -0.160079
| -0.0040, 0.1580, -0.1620
| -0.003951, 0.158031, -0.161981
|-
|-
| Beta 15/13
| [[29ed15/13]]
| 29ed15/13
| [[Beta 15/13]]
| 140.469250
| 140.469250
| 8.542795
| 8.542795
| 140.467213664559518
| 140.467213664559518
| 8.542918797162452
| 8.542918797162452
| 15/13, 14/13, 15/14
| 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, -0.1563, 0.1563
| 0, -0.156321, 0.156321
| 0.0036, -0.1545, 0.1581
| 0.003592, -0.154463, 0.158055
|-
|-
| Gamma 15/13
| [[56ed15/13]]
| 56ed15/13
| [[Gamma 15/13]]
| 271.250966
| 271.250966
| 4.423947
| 4.423947
| 271.250868008139347
| 271.250868008139347
| 4.423948976871078
| 4.423948976871078
| 15/13, 14/13, 15/14
| 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, -0.0038, 0.0038
| 0, -0.003771, 0.003771
| 0.0001, -0.0037, 0.0038
| 0.000090, -0.003724, 0.003814
|-
|-
| Alpha 8/7
| rowspan="3" | 8/7
| 29ed8/7
| rowspan="3" | 15/14, 16/15
| [[29ed8/7]]
| [[Alpha 8/7]]
| 150.535899
| 150.535899
| 7.971520
| 7.971520
| 150.537844310638475
| 150.537844310638475
| 7.971417456488689
| 7.971417456488689
| 8/7, 15/14, 16/15
| 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, 0.1300, -0.1300
| 0, 0.129999, -0.129999
| -0.0030, 0.1285, -0.1314
| -0.002987, 0.128454, -0.131441
|-
|-
| Beta 8/7
| [[31ed8/7]]
| 31ed8/7
| [[Beta 8/7]]
| 160.917685
| 160.917685
| 7.457229
| 7.457229
| 160.915782495277457
| 160.915782495277457
| 7.457316997698579
| 7.457316997698579
| 8/7, 15/14, 16/15
| 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, -0.1271, 0.1271
| 0, -0.127147, 0.127147
| 0.0027, -0.1257, 0.1285
| 0.002733, -0.125736, 0.128470
|-
|-
| Gamma 8/7
| [[60ed8/7]]
| 60ed8/7
| [[Gamma 8/7]]
| 311.453584
| 311.453584
| 3.852902
| 3.852902
| 311.453498588281532
| 311.453498588281532
| 3.852902617691610
| 3.852902617691610
| 8/7, 15/14, 16/15
| 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, -0.0029, 0.0029
| 0, -0.002860, 0.002860
| 0.0001, -0.0028, 0.0029
| 0.000064, -0.002827, 0.002891
|}
|}
{{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.}}
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