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| === Subsets and supersets === | | === Subsets and supersets === |
| Since 2964 factors into {{factorization|2964}}, 2964edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, and 1482 }}. | | Since 2964 factors into {{factorization|2964}}, 2964edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, and 1482 }}. |
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| === Commas of the 2.3.5.7.11.13 subgroup tempered out in 2964edo patent val ===
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| Commas with numerator <= 2^32:
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|
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| {| class="wikitable mw-collapsible mw-collapsed"
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| ! [[Ratio]]
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| ! [[Monzo]]
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| ! [[Cent]]s
| |
| |-
| |
| | [[4060088955/4060086272]]
| |
| | [-25 7 1 0 -2 5⟩
| |
| | 0.001
| |
| |-
| |
| | [[1610510000/1610497161]]
| |
| | [4 -4 4 -6 5 -2⟩
| |
| | 0.014
| |
| |-
| |
| | [[935886848/935859375]]
| |
| | [15 -2 -7 0 -3 4⟩
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| | 0.051
| |
| |-
| |
| | [[3456000/3455881]]
| |
| | [10 3 3 0 -2 -4⟩
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| | 0.060
| |
| |-
| |
| | [[479773125/479756288]]
| |
| | [-15 10 4 0 -4 1⟩
| |
| | 0.061
| |
| |-
| |
| | [[188245551/188238400]]
| |
| | [-6 1 -2 -6 0 7⟩
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| | 0.066
| |
| |-
| |
| | [[3132421875/3132286976]]
| |
| | [-11 6 8 -6 1 -1⟩
| |
| | 0.075
| |
| |-
| |
| | [[218709491/218700000]]
| |
| | [-5 -7 -5 6 1 2⟩
| |
| | 0.075
| |
| |-
| |
| | [[1771561/1771470]]
| |
| | [-1 -11 -1 0 6⟩
| |
| | 0.089
| |
| |-
| |
| | [[100663296/100656875]]
| |
| | [25 1 -4 0 -5⟩
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| | 0.110
| |
| |-
| |
| | [[2436053373/2435896375]]
| |
| | [0 8 -3 0 -7 5⟩
| |
| | 0.112
| |
| |-
| |
| | [[536870912/536832387]]
| |
| | [29 -3 0 -6 0 -2⟩
| |
| | 0.124
| |
| |-
| |
| | [[14236560/14235529]]
| |
| | [4 4 1 -6 -2 3⟩
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| | 0.125
| |
| |-
| |
| | [[3764768/3764475]]
| |
| | [5 -4 -2 6 -1 -2⟩
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| | 0.135
| |
| |-
| |
| | [[187404800/187388721]]
| |
| | [9 -8 2 0 4 -4⟩
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| | 0.149
| |
| |-
| |
| | [[196625/196608]]
| |
| | [-16 -1 3 0 2 1⟩
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| | 0.150
| |
| |-
| |
| | [[2358180864/2357947691]]
| |
| | [10 11 0 0 -9 1⟩
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| | 0.171
| |
| |-
| |
| | [[2144153025/2143910912]]
| |
| | [-10 6 2 6 -5 -1⟩
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| | 0.195
| |
| |-
| |
| | [[184549376/184528125]]
| |
| | [24 -10 -5 0 1⟩
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| | 0.199
| |
| |-
| |
| | [[371293/371250]]
| |
| | [-1 -3 -4 0 -1 5⟩
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| | 0.201
| |
| |-
| |
| | [[140625/140608]]
| |
| | [-6 2 6 0 0 -3⟩
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| | 0.209
| |
| |-
| |
| | [[257330216/257298363]]
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| | [3 -7 0 -6 4 3⟩
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| | 0.214
| |
| |-
| |
| | [[6656/6655]]
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| | [9 0 -1 0 -3 1⟩
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| | 0.260
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| |-
| |
| | [[123904000/123884397]]
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| | [13 -4 3 -6 2 -1⟩
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| | 0.274
| |
| |-
| |
| | [[481966875/481890304]]
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| | [-12 3 4 -6 0 4⟩
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| | 0.275
| |
| |-
| |
| | [[6470695/6469632]]
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| | [-11 -5 1 6 1 -1⟩
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| | 0.284
| |
| |-
| |
| | [[353894400/353829047]]
| |
| | [19 3 2 0 -5 -3⟩
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| | 0.320
| |
| |-
| |
| | [[1247410125/1247178944]]
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| | [-6 10 3 0 -7 2⟩
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| | 0.321
| |
| |-
| |
| | [[56953125/56942116]]
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| | [-2 6 7 -6 -2⟩
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| | 0.335
| |
| |-
| |
| | [[4135597648/4134796875]]
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| | [4 -7 -6 6 -2 3⟩
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| | 0.335
| |
| |-
| |
| | [[73530625/73516014]]
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| | [-1 -2 4 6 -1 -5⟩
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| | 0.344
| |
| |-
| |
| | [[4429568/4428675]]
| |
| | [8 -11 -2 0 3 1⟩
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| | 0.349
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| |-
| |
| | [[53094899/53084160]]
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| | [-17 -4 -1 0 1 6⟩
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| | 0.350
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| |-
| |
| | [[708984375/708837376]]
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| | [-22 1 9 0 2 -2⟩
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| | 0.359
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| |-
| |
| | [[1927561216/1927121625]]
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| | [14 -4 -3 6 -4 -1⟩
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| | 0.395
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| |-
| |
| | [[14417920/14414517]]
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| | [18 -8 1 0 1 -3⟩
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| | 0.409
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| |-
| |
| | [[4225/4224]]
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| | [-7 -1 2 0 -1 2⟩
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| | 0.410
| |
| |-
| |
| | [[228765625/228709656]]
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| | [-3 -5 6 -6 4⟩
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| | 0.424
| |
| |-
| |
| | [[428830605/428717762]]
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| | [-1 6 1 6 -8⟩
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| | 0.456
| |
| |-
| |
| | [[1235663104/1235334375]]
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| | [8 -3 -5 0 -4 6⟩
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| | 0.461
| |
| |-
| |
| | [[225000/224939]]
| |
| | [3 2 5 0 -3 -2⟩
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| | 0.469
| |
| |-
| |
| | [[1286844416/1286491815]]
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| | [12 -7 -1 -6 1 4⟩
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| | 0.474
| |
| |-
| |
| | [[3360173089/3359232000]]
| |
| | [-12 -8 -3 6 0 4⟩
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| | 0.485
| |
| |-
| |
| | [[136088095/136048896]]
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| | [-8 -12 1 0 5 2⟩
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| | 0.499
| |
| |-
| |
| | [[44302336/44289025]]
| |
| | [18 0 -2 0 -6 2⟩
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| | 0.520
| |
| |-
| |
| | [[104857600/104825259]]
| |
| | [22 -4 2 -6 -1⟩
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| | 0.534
| |
| |-
| |
| | [[1253113875/1252726552]]
| |
| | [-3 3 3 -6 -3 5⟩
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| | 0.535
| |
| |-
| |
| | [[117649/117612]]
| |
| | [-2 -5 0 6 -2⟩
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| | 0.545
| |
| |-
| |
| | [[3327500/3326427]]
| |
| | [2 -9 4 0 3 -2⟩
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| | 0.558
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| |-
| |
| | [[75521875/75497472]]
| |
| | [-23 -2 5 0 1 3⟩
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| | 0.559
| |
| |-
| |
| | [[3764768000/3763454409]]
| |
| | [8 -2 3 6 -4 -4⟩
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| | 0.604
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| |-
| |
| | [[22151168/22143375]]
| |
| | [17 -11 -3 0 0 2⟩
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| | 0.609
| |
| |-
| |
| | [[62748517/62726400]]
| |
| | [-8 -4 -2 0 -2 7⟩
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| | 0.610
| |
| |-
| |
| | [[3520000000/3518743761]]
| |
| | [12 -6 7 0 1 -6⟩
| |
| | 0.618
| |
| |-
| |
| | [[1171875/1171456]]
| |
| | [-13 1 8 0 -1 -1⟩
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| | 0.619
| |
| |-
| |
| | [[1722499009/1721868840]]
| |
| | [-3 -16 -1 6 4⟩
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| | 0.633
| |
| |-
| |
| | [[134217728/134165889]]
| |
| | [27 -8 0 0 -2 -2⟩
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| | 0.669
| |
| |-
| |
| | [[43940/43923]]
| |
| | [2 -1 1 0 -4 3⟩
| |
| | 0.670
| |
| |-
| |
| | [[3955078125/3953527864]]
| |
| | [-3 4 11 0 -3 -5⟩
| |
| | 0.679
| |
| |-
| |
| | [[28600000/28588707]]
| |
| | [6 -5 5 -6 1 1⟩
| |
| | 0.684
| |
| |-
| |
| | [[191179625/191102976]]
| |
| | [-18 -6 3 6 0 1⟩
| |
| | 0.694
| |
| |-
| |
| | [[23040000/23030293]]
| |
| | [12 2 4 0 -6 -1⟩
| |
| | 0.730
| |
| |-
| |
| | [[1838265625/1837465344]]
| |
| | [-8 -3 6 6 -2 -3⟩
| |
| | 0.754
| |
| |-
| |
| | [[531674/531441]]
| |
| | [1 -12 0 0 2 3⟩
| |
| | 0.759
| |
| |-
| |
| | [[4078653605/4076863488]]
| |
| | [-24 -5 1 0 0 8⟩
| |
| | 0.760
| |
| |-
| |
| | [[537109375/536870912]]
| |
| | [-29 0 11 0 1⟩
| |
| | 0.769
| |
| |-
| |
| | [[195767936/195676965]]
| |
| | [7 -5 -1 6 -5 1⟩
| |
| | 0.805
| |
| |-
| |
| | [[256000/255879]]
| |
| | [11 -9 3 0 0 -1⟩
| |
| | 0.818
| |
| |-
| |
| | [[17850625/17842176]]
| |
| | [-14 -2 4 0 -2 4⟩
| |
| | 0.820
| |
| |-
| |
| | [[1631461442/1630641375]]
| |
| | [1 -4 -3 0 -5 8⟩
| |
| | 0.870
| |
| |-
| |
| | [[234375/234256]]
| |
| | [-4 1 7 0 -4⟩
| |
| | 0.879
| |
| |-
| |
| | [[772289440/771895089]]
| |
| | [5 -8 1 -6 0 6⟩
| |
| | 0.884
| |
| |-
| |
| | [[537109375/536832387]]
| |
| | [0 -3 11 -6 1 -2⟩
| |
| | 0.893
| |
| |-
| |
| | [[1076723648/1076168025]]
| |
| | [6 -16 -2 6 1 1⟩
| |
| | 0.894
| |
| |-
| |
| | [[58492928/58461513]]
| |
| | [11 -1 0 0 -7 4⟩
| |
| | 0.930
| |
| |-
| |
| | [[3461120000/3459233547]]
| |
| | [15 -5 4 -6 -2 2⟩
| |
| | 0.944
| |
| |-
| |
| | [[497067025/496793088]]
| |
| | [-9 -6 2 6 -3 2⟩
| |
| | 0.954
| |
| |-
| |
| | [[1890625/1889568]]
| |
| | [-5 -10 6 0 2⟩
| |
| | 0.968
| |
| |-
| |
| | [[2359296000/2357947691]]
| |
| | [21 2 3 0 -9⟩
| |
| | 0.990
| |
| |-
| |
| | [[735306250/734875713]]
| |
| | [1 -3 5 6 -5 -2⟩
| |
| | 1.014
| |
| |-
| |
| | [[29246464/29229255]]
| |
| | [10 -12 -1 0 -1 4⟩
| |
| | 1.019
| |
| |-
| |
| | [[62500000/62462907]]
| |
| | [5 -7 9 0 0 -4⟩
| |
| | 1.028
| |
| |-
| |
| | [[126953125/126877696]]
| |
| | [-20 0 10 0 -2 1⟩
| |
| | 1.029
| |
| |-
| |
| | [[26214400/26198073]]
| |
| | [20 -9 2 0 -3⟩
| |
| | 1.079
| |
| |-
| |
| | [[46411625/46382688]]
| |
| | [-5 -2 3 0 -5 5⟩
| |
| | 1.080
| |
| |-
| |
| | [[171640625/171532242]]
| |
| | [-1 -6 7 -6 0 3⟩
| |
| | 1.094
| |
| |-
| |
| | [[808836875/808321761]]
| |
| | [0 -14 4 6 1 -2⟩
| |
| | 1.103
| |
| |-
| |
| | [[19500000/19487171]]
| |
| | [5 1 6 0 -7 1⟩
| |
| | 1.139
| |
| |-
| |
| | [[3489136640/3486784401]]
| |
| | [19 -20 1 0 3⟩
| |
| | 1.168
| |
| |-
| |
| | [[102105575/102036672]]
| |
| | [-6 -13 2 0 1 5⟩
| |
| | 1.169
| |
| |-
| |
| | [[1292374265/1291467969]]
| |
| | [0 -6 1 6 -6 3⟩
| |
| | 1.214
| |
| |-
| |
| | [[650000/649539]]
| |
| | [4 -10 5 0 -1 1⟩
| |
| | 1.228
| |
| |-
| |
| | [[330078125/329832448]]
| |
| | [-11 0 9 0 -5 2⟩
| |
| | 1.289
| |
| |-
| |
| | [[1220703125/1219784832]]
| |
| | [-7 -4 13 -6⟩
| |
| | 1.303
| |
| |-
| |
| | [[258474853/258280326]]
| |
| | [-1 -17 0 6 0 3⟩
| |
| | 1.303
| |
| |-
| |
| | [[1930723600/1929229929]]
| |
| | [4 -2 2 0 -8 6⟩
| |
| | 1.340
| |
| |-
| |
| | [[726171875/725594112]]
| |
| | [-12 -11 8 0 1 2⟩
| |
| | 1.378
| |
| |-
| |
| | [[3489660928/3486784401]]
| |
| | [28 -20 0 0 0 1⟩
| |
| | 1.428
| |
| |-
| |
| | [[193072360/192913083]]
| |
| | [3 -13 1 0 -2 6⟩
| |
| | 1.429
| |
| |-
| |
| | [[48828125/48787596]]
| |
| | [-2 -8 11 0 -1 -2⟩
| |
| | 1.438
| |
| |-
| |
| | [[865280000/864536409]]
| |
| | [13 -10 4 0 -4 2⟩
| |
| | 1.488
| |
| |-
| |
| | [[1838265625/1836660096]]
| |
| | [-7 -15 6 6⟩
| |
| | 1.513
| |
| |-
| |
| | [[858203125/857435524]]
| |
| | [-2 0 8 0 -8 3⟩
| |
| | 1.549
| |
| |-
| |
| | [[171640625/171478296]]
| |
| | [-3 -11 7 0 -2 3⟩
| |
| | 1.638
| |
| |-
| |
| | [[1250000000/1248774813]]
| |
| | [7 -8 10 0 -4 -1⟩
| |
| | 1.698
| |
| |-
| |
| | [[1220703125/1219401216]]
| |
| | [-9 -9 13 0 -2⟩
| |
| | 1.847
| |
| |-
| |
| | [[3173828125/3169966833]]
| |
| | [0 -9 12 0 -5 1⟩
| |
| | 2.108
| |
| |}
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