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List of superparticular intervals: Difference between revisions

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Line 2,718: Line 2,718:
| S31
| S31
|-  
|-  
| [[Kilobyte comma|1024/1023]]
| [[1024/1023]]
| 1.6915
| 1.6915
| 2<sup>10</sup>/(3×11×31)
| 2<sup>10</sup>/(3×11×31)
Line 2,948: Line 2,948:
| Polishookisma
| Polishookisma
| S92
| S92
|-
| [[8526/8525]]
| 0.20307
| (2×3×7<sup>2</sup>×29)/(5<sup>2</sup>×11×31)
| 2.3.5.7.11.29.31 {{monzo| 1 1 -2 2 -1 1 -1 }}
|
|
|-
|-
| [[8960/8959]]
| [[8960/8959]]
Line 2,956: Line 2,963:
|  
|  
|-
|-
| [[11935/11934]]
| [[9425/9424]]
| 0.18370
| (5<sup>2</sup>×13×29)/(2<sup>4</sup>×19×31)
| 2.5.13.19.29.31 {{monzo| -4 2 1 -1 1 -1 }}
|
|
|-
| 10881/10880
| 0.15911
| (3<sup>3</sup>×13×31)/(2<sup>7</sup>×5×17)
| 2.3.5.13.17.31 {{monzo| -7 3 -1 1 -1 1 }}
|
|
|-
| 11781/11780
| 0.14696
| (3<sup>2</sup>×7×11×17)/(2<sup>2</sup>×5×19×31)
| 2.3.5.7.11.17.19.31 {{monzo| -2 2 -1 1 1 1 -1 -1 }}
|
|
|-
| 11935/11934
| 0.14506
| 0.14506
| (5×7×11×31)/(2×3<sup>3</sup>×13×17)
| (5×7×11×31)/(2×3<sup>3</sup>×13×17)
Line 2,963: Line 2,991:
|  
|  
|-
|-
| [[15625/15624]]
| 12122/12121
| 0.14282
| (2×11×19×29)/(17×23×31)
| 2.11.17.19.23.29.31 {{monzo| 1 1 -1 1 -1 1 -1 }}
|
|
|-
| 13300/13299
| 0.13017
| ((2×5)<sup>2</sup>×7×19)/(3×11×13×31)
| 2.3.5.7.11.13.19.31 {{monzo| 2 -1 2 1 -1 -1 1 -1 }}
|
|
|-
| 13455/13454
| 0.12867
| (3<sup>2</sup>×5×13×23)/(2×7×31<sup>2</sup>)
| 2.3.5.7.13.23.31 {{monzo| -1 2 1 -1 1 1 -2 }}
|
|
|-
| 15625/15624
| 0.11080
| 0.11080
| 5<sup>6</sup>/(2<sup>3</sup>×3<sup>2</sup>×7×31)
| 5<sup>6</sup>/(2<sup>3</sup>×3<sup>2</sup>×7×31)
Line 2,970: Line 3,019:
| S125
| S125
|-
|-
| [[17577/17576]]
| [[Acronymisma|17577/17576]]
| 0.098497
| 0.098497
| (3<sup>4</sup>×7×31)/(2<sup>3</sup>×13<sup>3</sup>)
| (3<sup>4</sup>×7×31)/(2<sup>3</sup>×13<sup>3</sup>)
Line 2,977: Line 3,026:
|  
|  
|-
|-
| [[19251/19250]]
| [[Totziensisma|19251/19250]]
| 0.089931
| 0.089931
| (3<sup>3</sup>×23×31)/(2×5<sup>3</sup>×7×11)
| (3<sup>3</sup>×23×31)/(2×5<sup>3</sup>×7×11)
Line 2,984: Line 3,033:
|  
|  
|-
|-
| [[19344/19343]]
| [[Honeybrookisma|19344/19343]]
| 0.089500
| 0.089500
| (2<sup>4</sup>×3×13×31)/(23×29<sup>2</sup>)
| (2<sup>4</sup>×3×13×31)/(23×29<sup>2</sup>)
Line 2,991: Line 3,040:
|  
|  
|-
|-
| [[23716/23715]]
| 19965/19964
| 0.086716
| (3×5×11<sup>3</sup>)/(2<sup>2</sup>×7×23×31)
| 2.3.5.7.11.23.31 {{monzo| -2 1 1 -1 3 -1 -1 }}
|
|
|-
| 21142/21141
| 0.081888
| (2×11×31<sup>2</sup>)/(3<sup>6</sup>×29)
| 2.3.11.29.31 {{monzo| 1 -6 1 -1 2 }}
|
|
|-
| 22816/22815
| 0.075880
| (2<sup>5</sup>×23×31)/(3<sup>3</sup>×5×13<sup>2</sup>)
| 2.3.5.13.23.31 {{monzo| 5 -3 -1 -2 1 1 }}
|
|
|-
| 23375/23374
| 0.074065
| (5<sup>3</sup>×11×17)/(2×13×29×31)
| 2.5.11.13.17.29.31 {{monzo| -1 3 1 -1 1 -1 -1 }}
|
|
|-
| 23716/23715
| 0.073000
| 0.073000
| (2×7×11)<sup>2</sup>/(3<sup>2</sup>×5×17×31)
| (2×7×11)<sup>2</sup>/(3<sup>2</sup>×5×17×31)
Line 2,998: Line 3,075:
| S154
| S154
|-
|-
| [[24025/24024]]
| 24025/24024
| 0.072061
| 0.072061
| (5×31)<sup>2</sup>/(2<sup>3</sup>×3×7×11×13)
| (5×31)<sup>2</sup>/(2<sup>3</sup>×3×7×11×13)
Line 3,004: Line 3,081:
|  
|  
| S155
| S155
|-
| 27405/27404
| 0.063173
| (3<sup>3</sup>×5×7×29)/(2<sup>2</sup>×13×17×31)
| 2.3.5.7.13.17.29.31 {{monzo| -2 3 1 1 -1 -1 1 -1 }}
|
|
|-
|-
| [[Tricecubisma|29792/29791]]
| [[Tricecubisma|29792/29791]]
Line 3,012: Line 3,096:
|  
|  
|-
|-
| [[116281/116280]]
| 31465/31464
| 0.055022
| (5×7×29×31)/(2<sup>3</sup>×3<sup>2</sup>×19×23)
| 2.3.5.7.19.23.29.31 {{monzo| -3 -2 1 1 -1 -1 1 1 }}
|
|
|-
| 31900/31899
| 0.054272
| ((2×5)<sup>2</sup>×11×29)/(3×7<sup>3</sup>×31)
| 2.3.5.7.11.29.31 {{monzo| 2 -1 2 -3 1 1 -1 }}
|
|
|-
| 32799/32798
| 0.052784
| (3×13×29<sup>2</sup>)/(2×23<sup>2</sup>×31)
| 2.3.13.23.29.31 {{monzo| -1 1 1 -2 2 -1 }}
|
|
|-
| 41262/41261
| 0.041958
| (2×3×13×23<sup>2</sup>)/(11<sup>3</sup>×31)
| 2.3.11.13.23.31 {{monzo| 1 1 -3 1 2 -1 }}
|
|
|-
| 42688/42687
| 0.040556
| (2<sup>6</sup>×23×29)/(3<sup>4</sup>×17×31)
| 2.3.17.23.29.31 {{monzo| 6 -4 -1 1 1 -1 }}
|
|
|-
| 49011/49010
| 0.035324
| (3×17×31<sup>2</sup>)/(2×5×13<sup>2</sup>×29)
| 2.3.5.13.17.29.31 {{monzo| -1 1 -1 -2 1 -1 2 }}
|
|
|-
| 58311/58310
| 0.029690
| (3<sup>2</sup>×11×19×31)/(2×5×7<sup>3</sup>×17)
| 2.3.5.7.11.17.19.31 {{monzo| -1 2 -1 -3 1 -1 1 1 }}
|
|
|-
| 78337/78336
| 0.022100
| (7×19<sup>2</sup>×31)/(2<sup>9</sup>×3<sup>2</sup>×17)
| 2.3.7.17.19.31 {{monzo| -9 -2 1 -1 2 1 }}
|
|
|-
| 96876/96875
| 0.017871
| (2<sup>2</sup>×3<sup>4</sup>×13×23)/(5<sup>5</sup>×31)
| 2.3.5.13.23.31 {{monzo| 2 4 -5 1 1 -1 }}
|
|
|-
| 98736/98735
| 0.017534
| (2<sup>4</sup>×3×11<sup>2</sup>×17)/(5×7<sup>2</sup>×13×31)
| 2.3.5.7.11.13.17.31 {{monzo| 4 1 -1 -2 2 -1 1 -1 }}
|
|
|-
| 102487/102486
| 0.016892
| (7×11<sup>4</sup>)/(2×3×19×29×31)
| 2.3.7.11.19.29.31 {{monzo| -1 -1 1 4 -1 -1 -1 }}
|
|
|-
| 108376/108375
| 0.015974
| (2<sup>3</sup>×19×23×31)/(3×5<sup>3</sup>×17<sup>2</sup>)
| 2.3.5.17.19.23.31 {{monzo| 3 -1 -3 -2 1 1 1 }}
|
|
|-
| 111321/111320
| 0.015552
| (3<sup>3</sup>×7×19×31)/(2<sup>3</sup>×5×11<sup>2</sup>×23)
| 2.3.5.7.11.19.23.31 {{monzo| -3 3 -1 1 -2 1 -1 1 }}
|
|
|-
| 111476/111475
| 0.015530
| (2<sup>2</sup>×29×31<sup>2</sup>)/(5<sup>2</sup>×7<sup>3</sup>×13)
| 2.5.7.13.29.31 {{monzo| 2 -2 -3 -1 1 2 }}
|
|
|-
| 116281/116280
| 0.014888
| 0.014888
| (11×31)<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×5×17×19)
| (11×31)<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×5×17×19)
Line 3,018: Line 3,200:
|  
|  
| S341
| S341
|-
| 116964/116963
| 0.014801
| (2×3<sup>2</sup>×19)<sup>2</sup>/(7<sup>3</sup>×11×31)
| 2.3.7.11.19.31 {{monzo| 2 4 -3 -1 2 -1 }}
|
| S342
|}
|}


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