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List of superparticular intervals: Difference between revisions

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Line 1,134: Line 1,134:
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| 12636/12635
| [[12636/12635]]
| 0.13701
| 0.13701
| (2<sup>2</sup>×3<sup>5</sup>×13)/(5×7×19<sup>2</sup>)
| (2<sup>2</sup>×3<sup>5</sup>×13)/(5×7×19<sup>2</sup>)
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
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| Padriellisma
|  
|  
|-
|-
Line 3,689: Line 3,689:
| [[1332/1331]]
| [[1332/1331]]
| 1.3002
| 1.3002
| (2<sup>2</sup>×3<sup>2</sup>×37)/11<sup>3</sup>
| ((2×3)<sup>2</sup>×37)/11<sup>3</sup>
| 2.3.11.37 {{monzo| 2 2 -3 1 }}
| 2.3.11.37 {{monzo| 2 2 -3 1 }}
| Marconisma
| Marconisma
Line 3,953: Line 3,953:
| S111
| S111
|-
|-
| 13690/13689
| [[13690/13689]]
| 0.12646
| 0.12646
| (2×5×37<sup>2</sup>)/(3<sup>2</sup>×13)<sup>2</sup>
| (2×5×37<sup>2</sup>)/(3<sup>2</sup>×13)<sup>2</sup>
| 2.3.5.13.37 {{monzo| 1 -4 1 -2 2 }}
| 2.3.5.13.37 {{monzo| 1 -4 1 -2 2 }}
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| Lesleymartin comma
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|-
|-
Line 4,356: Line 4,356:
| (5×7<sup>2</sup>×23×37)/(2×3<sup>6</sup>×11×13)
| (5×7<sup>2</sup>×23×37)/(2×3<sup>6</sup>×11×13)
| 2.3.5.7.11.13.23.37 {{monzo| -1 -6 1 2 -1 -1 1 1 }}
| 2.3.5.7.11.13.23.37 {{monzo| -1 -6 1 2 -1 -1 1 1 }}
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|-
| 227070/227069
| 0.0076242
| (2×3<sup>3</sup>×5×29<sup>2</sup>)/(17×19<sup>2</sup>×37)
| 2.3.5.17.19.29.37 {{monzo| 1 3 1 -1 -2 2 -1 }}
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| 254449/254448
| 0.0068039
| (13×23<sup>2</sup>×37)/(2<sup>4</sup>×3<sup>3</sup>×19×31)
| 2.3.13.19.23.31.37 {{monzo| -4 -3 1 -1 2 -1 1 }}
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|-
| 285418/285417
| 0.0060656
| (2×7×19×29×37)/(3<sup>3</sup>×11×31<sup>2</sup>)
| 2.3.7.11.19.29.31.37 {{monzo| 1 -3 1 -1 1 1 -2 1 }}
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| 319125/319124
| 0.0054249
| (3×5<sup>3</sup>×23×37)/(2<sup>2</sup>×13×17×19<sup>2</sup>)
| 2.3.5.13.17.19.23.37 {{monzo| -2 1 3 -1 -1 -2 1 1 }}
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| 348726/348725
| 0.0049645
| (2×3×7×19<sup>2</sup>×23)/(5<sup>2</sup>×13×29×37)
| 2.3.5.7.13.19.23.29.37 {{monzo| 1 1 -2 1 -1 2 1 -1 -1 }}
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| 360640/360639
| 0.0048005
| (2<sup>6</sup>×5×7<sup>2</sup>×23)/(3<sup>3</sup>×19<sup>2</sup>×37)
| 2.3.5.7.19.23.37 {{monzo| 6 -3 1 2 -2 1 -1 }}
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| 378880/378879
| 0.0045694
| (2<sup>11</sup>×5×37)/(3×17<sup>2</sup>×19×23)
| 2.3.5.17.19.23.37 {{monzo| 11 -1 1 -2 -1 -1 1 }}
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| 390166/390165
| 0.0044372
| (2×7×29×31<sup>2</sup>)/(3×5×19×37<sup>2</sup>)
| 2.3.5.7.19.29.31.37 {{monzo| 1 -1 -1 1 -1 1 2 -2 }}
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|  
|  
|  
Line 4,365: Line 4,421:
|  
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| S666
| S666
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| 446369/446368
| 0.0038785
| (7×11<sup>2</sup>×17×31)/(2<sup>5</sup>×13×29×37)
| 2.7.11.13.17.29.31.37 {{monzo| -5 1 2 -1 1 -1 1 -1 }}
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| 466830/466829
| 466830/466829
Line 4,372: Line 4,435:
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| 469568/469567
| 0.0036869
| (2<sup>6</sup>×11×23×29)/(7<sup>3</sup>×37<sup>2</sup>)
| 2.7.11.23.29.37 {{monzo| 6 -3 1 1 1 -2 }}
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| 494209/494208
| 0.0035030
| (19×37)<sup>2</sup>/(2<sup>7</sup>×3<sup>3</sup>×11×13)
| 2.3.11.13.19.37 {{monzo| -7 -3 -1 -1 2 2 }}
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| S703
|-
| 675584/675583
| 0.0025626
| (2<sup>8</sup>×7×13×29)/(19×31<sup>2</sup>×37)
| 2.7.13.19.29.31.37 {{monzo| 8 1 1 -1 1 -2 -1 }}
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| 777925/777924
| 0.0022255
| ((5×29)<sup>2</sup>×37)/(2×(3×7)<sup>2</sup>)<sup>2</sup>
| 2.3.5.7.29.37 {{monzo| -2 -4 2 -4 2 1 }}
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| 787176/787175
| 0.0021993
| (2<sup>3</sup>×3<sup>2</sup>×13×29<sup>2</sup>)/(5<sup>2</sup>×23×37<sup>2</sup>)
| 2.3.5.13.23.29.37 {{monzo| 3 2 -2 1 -1 2 -2 }}
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| 812890/812889
| 0.0021297
| (2×5×13<sup>3</sup>×37)/(3<sup>3</sup>×7×11×17×23)
| 2.3.5.7.11.13.17.23.37 {{monzo| 1 -3 1 -1 -1 3 -1 -1 1 }}
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| 837200/837199
| 0.0020679
| (2<sup>4</sup>×5<sup>2</sup>×7×13×23)/(11<sup>3</sup>×17×37)
| 2.5.7.11.13.17.23.37 {{monzo| 4 2 1 -3 1 -1 1 -1 }}
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| 923521/923520
| 0.0018746
| 31<sup>4</sup>/(2<sup>7</sup>×3×5×13×37)
| 2.3.5.13.31.37 {{monzo| -7 -1 -1 -1 4 -1 }}
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| S961
|-
| 986272/986271
| 0.0017553
| (2<sup>5</sup>×7<sup>2</sup>×17×37)/(3×11<sup>3</sup>×13×19)
| 2.3.7.11.13.17.19.37 {{monzo| 5 -1 2 -3 -1 1 -1 1 }}
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| 1000000/999999
| 0.0017312
| (2×5)<sup>6</sup>/(3<sup>3</sup>×7×11×13×37)
| 2.3.5.7.11.13.37 {{monzo| 6 -3 6 -1 -1 -1 -1 }}
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| S1000
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| 1055241/1055240
| 1055241/1055240
Line 5,179: Line 5,312:
| [[1333/1332]]
| [[1333/1332]]
| 1.2992
| 1.2992
| (31×43)/(2<sup>2</sup>×3<sup>2</sup>×37)
| (31×43)/((2×3)<sup>2</sup>×37)
| 2.3.31.37.43 {{monzo| -2 -2 1 -1 1 }}
| 2.3.31.37.43 {{monzo| -2 -2 1 -1 1 }}
| Cevenolisma
| Cevenolisma
Line 5,188: Line 5,321:
| (2×23×29)/(31×43)
| (2×23×29)/(31×43)
| 2.23.29.31.43 {{monzo| 1 1 1 -1 -1 }}
| 2.23.29.31.43 {{monzo| 1 1 1 -1 -1 }}
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|-
Line 5,901: Line 6,035:
| (2×37)/73
| (2×37)/73
| 2.37.73 {{monzo| 1 1 -1 }}
| 2.37.73 {{monzo| 1 1 -1 }}
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