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List of superparticular intervals: Difference between revisions

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Complete factorizations
Line 749: Line 749:
| S120
| S120
|-
|-
| 28561/28560
| [[28561/28560]]
| 0.060616
| 0.060616
| 13<sup>4</sup>/(2<sup>4</sup>×3×5×7×17)
| 13<sup>4</sup>/(2<sup>4</sup>×3×5×7×17)
Line 770: Line 770:
|
|
|-
|-
| 194481/194480
| [[194481/194480]]
| 0.008902
| 0.008902
| (3×7)<sup>4</sup>/(2<sup>4</sup>×5×11×13×17)
| (3×7)<sup>4</sup>/(2<sup>4</sup>×5×11×13×17)
Line 1,779: Line 1,779:
| 204/203
| 204/203
| 8.5073
| 8.5073
|  
| (2<sup>2</sup>×3×17)/(7×29)
|  
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }}
|  
|  
|  
|  
Line 1,786: Line 1,786:
| 232/231
| 232/231
| 7.4783
| 7.4783
|  
| (2<sup>3</sup>×29)/(3×7×11)
|  
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }}
|  
|  
|  
|  
Line 1,793: Line 1,793:
| 261/260
| 261/260
| 6.6458
| 6.6458
|  
| (3<sup>2</sup>×29)/(2<sup>2</sup>×5×13)
|  
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }}
|  
|  
|  
|  
Line 1,800: Line 1,800:
| 290/289
| 290/289
| 5.9801
| 5.9801
|  
| (2×5×29)/17<sup>2</sup>
|  
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
|  
|  
|  
|  
Line 1,807: Line 1,807:
| 320/319
| 320/319
| 5.4186
| 5.4186
|  
| (2<sup>6</sup>×5)/(11×29)
|  
| 2.5.11.29 {{monzo| 6 1 -1 -1 }}
|  
|  
|  
|  
Line 1,814: Line 1,814:
| 378/377
| 378/377
| 4.5861
| 4.5861
|  
| (2×3<sup>3</sup>×7)/(13×29)
|  
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }}
|  
|  
|  
|  
Line 1,821: Line 1,821:
| 406/405
| 406/405
| 4.2694
| 4.2694
|  
| (2×7×29)/(3<sup>4</sup>×5)
|  
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }}
|  
|  
|  
|  
Line 1,828: Line 1,828:
| 494/493
| 494/493
| 3.5081
| 3.5081
|  
| (2×13×19)/(17×29)
|  
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }}
|  
|  
|  
|  
Line 1,835: Line 1,835:
| 551/550
| 551/550
| 3.1448
| 3.1448
|  
| (19×29)/(2×5<sup>2</sup>×11)
|  
| 2.5.11.19.29 {{monzo| -1 -2 -1 1 1 }}
|  
|  
|  
|  
|-
|-
| 552/551
| [[552/551]]
| 3.1391
| 3.1391
|  
| (2<sup>3</sup>×3×23)/(19×29)
|  
| 2.3.19.23.29 {{monzo| 3 1 -1 1 -1 }}
|  
| <s>Cmloegcmluinisma</s>
|  
|  
|-
|-
| 609/608
| 609/608
| 2.8451
| 2.8451
|  
| (3×7×19)/(2<sup>5</sup>×29)
|  
| 2.3.7.19.29 {{monzo| -5 1 1 1 -1 }}
|  
|  
|  
|  
Line 1,856: Line 1,856:
| 638/637
| 638/637
| 2.7157
| 2.7157
|  
| (2×11×29)/(7<sup>2</sup>×13)
|  
| 2.7.11.13.29 {{monzo| 1 -2 1 -1 1 }}
|  
|  
|  
|  
Line 1,863: Line 1,863:
| 726/725
| 726/725
| 2.3863
| 2.3863
|  
| (2×3×11<sup>2</sup>)/(5<sup2</sup>×29)
|  
| 2.3.5.11.29 {{monzo| 1 1 -2 2 -2 }}
|  
|  
|  
|  
Line 1,870: Line 1,870:
| 841/840
| 841/840
| 2.0598
| 2.0598
|  
| 29<sup>2</sup>/(2<sup>3</sup>×3×5×7)
| 2.3.5.7.29 {{monzo|-3 -1 -1 -1 2}}
| 2.3.5.7.29 {{monzo|-3 -1 -1 -1 2 }}
|  
|  
| S29
| S29
Line 1,921: Line 1,921:
| [[961/960]]
| [[961/960]]
| 1.8024
| 1.8024
|  
| 31<sup>2</sup>/(2<sup>6</sup>×3×5)
| 2.3.5.31 {{monzo|-6 -1 -1 2}}
| 2.3.5.31 {{monzo| -6 -1 -1 2 }}
|
|
| S31
| S31
Line 1,928: Line 1,928:
| [[3969/3968]]
| [[3969/3968]]
| 0.43624
| 0.43624
| (3<sup>4</sup>×7<sup>2</sup>)/(2<sup>7</sup>×31)
| (3<sup>2</sup>×7)<sup>2</sup>/(2<sup>7</sup>×31)
| 2.3.7.31 {{monzo| -7 4 2 -1 }}
| 2.3.7.31 {{monzo| -7 4 2 -1 }}
| Yunzee comma
| Yunzee comma
Line 1,958: Line 1,958:
| [[1369/1368]]
| [[1369/1368]]
| 1.2651  
| 1.2651  
|
| 37<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×19)
| 2.3.19.37 {{monzo|-3 -2 -1 2}}
| 2.3.19.37 {{monzo| -3 -2 -1 2 }}
|
|
| S37
| S37
Line 1,988: Line 1,988:
| [[1681/1680]]
| [[1681/1680]]
| 1.0302
| 1.0302
|  
| 41<sup>2</sup>/(2<sup>4</sup>×3×5×7)
| 2.3.5.7.41 {{monzo|-4 -1 -1 -1 2}}
| 2.3.5.7.41 {{monzo| -4 -1 -1 -1 2 }}
|
|
| S41
| S41
Line 2,032: Line 2,032:
| [[1849/1848]]
| [[1849/1848]]
| 0.93656
| 0.93656
|  
| 43<sup>2</sup>/(2<sup>3</sup>×3×7×11)
| 2.3.7.11.43 {{monzo|-3 -1 -1 -1 2}}
| 2.3.7.11.43 {{monzo| -3 -1 -1 -1 2 }}
|  
|  
| S43
| S43
Line 2,069: Line 2,069:
| [[2209/2208]]
| [[2209/2208]]
| 0.78390
| 0.78390
| (47<sup>2</sup>)/(2<sup>5</sup>×3×5)
| 47<sup>2</sup>/(2<sup>5</sup>×3×5)
| 2.3.23.47 {{monzo| -5 -1 -1 2 }}
| 2.3.23.47 {{monzo| -5 -1 -1 2 }}
|  
|  
Line 2,076: Line 2,076:
| [[2304/2303]]
| [[2304/2303]]
| 0.75157
| 0.75157
| (2<sup>8</sup>×3<sup>2</sup>)/(7<sup>2</sup>×47)
| (2<sup>4</sup>×3)<sup>2</sup>/(7<sup>2</sup>×47)
| 2.3.7.47 {{monzo| 8 2 -2 -1 }}
| 2.3.7.47 {{monzo| 8 2 -2 -1 }}
|  
|  
Line 2,099: Line 2,099:
| [[2809/2808]]
| [[2809/2808]]
| 0.61643
| 0.61643
|  
| 53<sup>2</sup>/(2<sup>3</sup>×3<sup>3</sup>×13)
| 2.3.13.53 {{monzo|-3 -3 -1 2}}
| 2.3.13.53 {{monzo| -3 -3 -1 2 }}
|
|
| S53
| S53
Line 2,122: Line 2,122:
| [[3481/3480]]
| [[3481/3480]]
| 0.49741
| 0.49741
|  
| 59<sup>2</sup>/(2<sup>3</sup>×3×5×29)
| 2.3.5.29.59 {{monzo| -3 -1 -1 -1 2}}
| 2.3.5.29.59 {{monzo| -3 -1 -1 -1 2}}
|  
|  
Line 2,146: Line 2,146:
| 2.5782
| 2.5782
| (2<sup>5</sup>×3×7)/(11×61)
| (2<sup>5</sup>×3×7)/(11×61)
| 2.3.7.11.61 {{monzo|5 1 1 -1 -1}}
| 2.3.7.11.61 {{monzo| 5 1 1 -1 -1 }}
|
|
|
|
Line 2,153: Line 2,153:
| 1.2335
| 1.2335
| (2<sup>2</sup>×3<sup>3</sup>×13)/(23×61)
| (2<sup>2</sup>×3<sup>3</sup>×13)/(23×61)
| 2.3.13.23.61 {{monzo|2 3 1 -1 -1}}
| 2.3.13.23.61 {{monzo| 2 3 1 -1 -1 }}
|  
|  
|  
|  
Line 2,159: Line 2,159:
| [[3721/3720]]
| [[3721/3720]]
| 0.46532
| 0.46532
|  
| 61<sup>2</sup>/(2<sup>3</sup>×3×5×31)
| 2.3.5.31.61 {{monzo|-3 -1 -1 -1 2}}
| 2.3.5.31.61 {{monzo| -3 -1 -1 -1 2 }}
|  
|  
| S61
| S61
Line 2,239: Line 2,239:
| [[84/83]]
| [[84/83]]
| 20.734
| 20.734
| (2<sup>2</sup>*3*7)/83
| (2<sup>2</sup>×3×7)/83
| 2.3.7.83 {{monzo| 2 1 1 -1 }}
| 2.3.7.83 {{monzo| 2 1 1 -1 }}
|  
|  
Line 2,250: Line 2,250:
| 89/(2<sup>3</sup>×11)
| 89/(2<sup>3</sup>×11)
| 2.11.89 {{monzo| -3 -1 1 }}
| 2.11.89 {{monzo| -3 -1 1 }}
| Sky comma
|  
|  
|
|-
|-
| [[90/89]]
| [[90/89]]
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