Xenharmonic Wiki

List of superparticular intervals: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
fixed typo
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
No edit summary
Line 2,171: Line 2,171:
| [[9802/9801]]
| [[9802/9801]]
| 0.17663
| 0.17663
| (2×29)×(13/(3<sup>2</sup>×11))<sup>2</sup>
| (2×13<sup>2</sup>×29)/(3<sup>2</sup>×11)<sup>2</sup>
| 2.3.11.13.29 {{monzo|1 -4 -2 2 1}}
| 2.3.11.13.29 {{monzo|1 -4 -2 2 1}}
|
|
Line 2,430: Line 2,430:
| 1163800/1163799
| 1163800/1163799
| 0.0014876
| 0.0014876
|
| (2<sup>3</sup>×(5×23)<sup>2</sup>×11)/(3<sup>2</sup>×7<sup>3</sup>×13×29)
| 2.3.5.7.11.13.23.29 {{monzo| 3 -2 2 -3 1 -1 2 -1}}
| 2.3.5.7.11.13.23.29 {{monzo| 3 -2 2 -3 1 -1 2 -1}}
|
|
Line 2,437: Line 2,437:
| 1235169/1235168
| 1235169/1235168
| 0.0014016
| 0.0014016
|
| (3<sup>5</sup>×13×17×23)/(2<sup>5</sup>×11<sup>3</sup>×29)
| 2.3.11.13.17.23.29 {{monzo| -5 5 -3 1 1 1 -1}}
| 2.3.11.13.17.23.29 {{monzo| -5 5 -3 1 1 1 -1}}
|
|
Line 2,444: Line 2,444:
| 1243840/1243839
| 1243840/1243839
| 0.0013918
| 0.0013918
|
| ((2<sup>3</sup>×13)<sup>2</sup>×5×23)/(3×17×29<sup>3</sup>)
| 2.3.5.13.17.23.29 {{monzo|6 -1 1 2 -1 1 -3}}
| 2.3.5.13.17.23.29 {{monzo|6 -1 1 2 -1 1 -3}}
|
|
Line 2,451: Line 2,451:
| 1625625/1625624
| 1625625/1625624
| 0.0010650
| 0.0010650
|
| (3×5<sup>2</sup>×17)<sup>2</sup>/(2<sup>3</sup>×7<sup>2</sup>×11×13×29)
| 2.3.5.7.11.13.17.29 {{monzo|-3 2 4 -2 -1 -1 2 -1}}
| 2.3.5.7.11.13.17.29 {{monzo|-3 2 4 -2 -1 -1 2 -1}}
|  
|  
Line 2,458: Line 2,458:
| 1852201/1852200
| 1852201/1852200
| 0.00093469
| 0.00093469
|  
| (13×17<sup>3</sup>×29)/((2×3×7)<sup>3</sup>×5<sup>2</sup>)
| 2.3.5.7.13.17.29 {{monzo|-3 -3 -2 -3 1 3 1}}
| 2.3.5.7.13.17.29 {{monzo|-3 -3 -2 -3 1 3 1}}
|
|
Line 2,465: Line 2,465:
| 2697696/2697695
| 2697696/2697695
| 0.00064175
| 0.00064175
|
| (2<sup>5</sup>×3<sup>2</sup>×17×19×29)/(5×7<sup>3</sup>×11<sup>2</sup>×13)
| 2.3.5.7.11.13.17.19.29 {{monzo|5 2 -1 -3 -2 -1 1 1 1}}
| 2.3.5.7.11.13.17.19.29 {{monzo|5 2 -1 -3 -2 -1 1 1 1}}
|
|
Line 2,472: Line 2,472:
| 4004001/4004000  
| 4004001/4004000  
| 0.00043238
| 0.00043238
|
| (3×23×29)<sup>2</sup>/(2<sup>5</sup>×5<sup>3</sup>×7×11×13)
| 2.3.5.7.11.13.23.29 {{monzo|-5 2 -3 -1 -1 -1 2 2}}
| 2.3.5.7.11.13.23.29 {{monzo|-5 2 -3 -1 -1 -1 2 2}}
|
|
Line 2,479: Line 2,479:
| 4090625/4090624  
| 4090625/4090624  
| 0.00042322
| 0.00042322
|  
| (5<sup>5</sup>×7×11×17)/((2<sup>4</sup>×29)<sup>2</sup>×19)
| 2.5.7.11.17.19.29 {{monzo|-8 5 1 1 1 -1 -2}}
| 2.5.7.11.17.19.29 {{monzo|-8 5 1 1 1 -1 -2}}
|
|
Line 2,486: Line 2,486:
| 8268800/8268799
| 8268800/8268799
| 0.00020937
| 0.00020937
|  
| ((2<sup>5</sup>×5)<sup>2</sup>×17×19)/((7×23)<sup>2</sup>×11×29)
| 2.5.7.11.17.19.23.29 {{monzo|10 2 -2 -1 1 1 -2 -1}}
| 2.5.7.11.17.19.23.29 {{monzo|10 2 -2 -1 1 1 -2 -1}}
|
|
Line 2,493: Line 2,493:
| 10556001/10556000
| 10556001/10556000
| 0.00016400
| 0.00016400
|
| (3×19)<sup>4</sup>/(2<sup>5</sup>×5<sup>3</sup>×7×13×29)
| 2.3.5.7.13.19.29 {{monzo|-5 4 -3 -1 -1 4 -1}}
| 2.3.5.7.13.19.29 {{monzo|-5 4 -3 -1 -1 4 -1}}
|
|
Line 2,500: Line 2,500:
| 18085705/18085704
| 18085705/18085704
| 9.5724×10<sup>-5</sup>
| 9.5724×10<sup>-5</sup>
|
| (5×11×17×23×29<sup>2</sup>)/((2×7×13)<sup>3</sup>×3)
| 2.3.5.7.11.13.17.23.29 {{monzo|-3 -1 1 -3 1 -3 1 1 2}}
| 2.3.5.7.11.13.17.23.29 {{monzo|-3 -1 1 -3 1 -3 1 1 2}}
|
|
Line 2,507: Line 2,507:
| 96059601/96059600
| 96059601/96059600
| 1.8022×10<sup>-5</sup>
| 1.8022×10<sup>-5</sup>
|
| (3<sup>2</sup>×11)<sup>4</sup>/((2<sup>2</sup>×5×7×13)<sup>2</sup>×29)
| 2.3.5.7.11.13.29 {{monzo|-4 8 -2 -2 4 -2 -1}}
| 2.3.5.7.11.13.29 {{monzo|-4 8 -2 -2 4 -2 -1}}
|
|
Line 2,514: Line 2,514:
| 177182721/177182720
| 177182721/177182720
| 9.7709×10<sup>-6</sup>
| 9.7709×10<sup>-6</sup>
|  
| (3<sup>3</sup>×17×29)<sup>2</sup>/(2<sup>11</sup>×5×11<sup>3</sup>×13)
| 2.3.5.11.13.17.29 {{monzo|-11 6 -1 -3 -1 2 2}}
| 2.3.5.11.13.17.29 {{monzo|-11 6 -1 -3 -1 2 2}}
|
|
Line 2,724: Line 2,724:
| Kilobyte comma
| Kilobyte comma
| S32
| S32
|-
| [[1054/1053]]
| 1.6433
| (2×17×31)/(3<sup>4</sup>×13)
| 2.3.13.17.31 {{monzo| 1 -4 -1 1 1 }}
|
|
|-
| [[1210/1209]]
| 1.4314
| (2×5×11<sup>2</sup>)/(3×13×31)
| 2.3.5.11.13.31 {{monzo| 1 -1 1 2 -1 -1 }}
|
|
|-
| [[1365/1364]]
| 1.2688
| (3×5×7×13)/(2<sup>2</sup>×11×31)
| 2.3.5.7.11.13.31 {{monzo| -2 1 1 1 -1 1 -1 }}
|
|
|-
| [[1426/1425]]
| 1.2145
| (2×23×31)/(3×5<sup>2</sup>×19)
| 2.3.5.19.23.31 {{monzo| 1 -1 -2 -1 1 1 }}
|
|
|-
| [[1519/1518]]
| 1.1401
| (7<sup>2</sup>×31)/(2×3×11×23)
| 2.3.7.11.23.31 {{monzo| -1 -1 2 -1 -1 1 }}
|
|
|-
| [[1520/1519]]
| 1.1393
| (2<sup>4</sup>×5×19)/(7<sup>2</sup>×31)
| 2.5.7.19.31 {{monzo| 4 1 -2 1 -1 }}
|
|
|-
| [[1768/1767]]
| 0.97948
| (2<sup>3</sup>×13×17)/(3×19×31)
| 2.3.13.17.19.31 {{monzo| 3 -1 1 1 -1 -1 }}
|
|
|-
| [[1860/1859]]
| 0.93102
| (2<sup>2</sup>×3×5×31)/(11×13<sup>2</sup>)
| 2.3.5.11.13.31 {{monzo| 2 1 1 -1 -2 1 }}
|
|
|-
| [[2016/2015]]
| 0.85896
| (2<sup>5</sup>×3<sup>2</sup>×7)/(5×13×31)
| 2.3.5.7.13.31 {{monzo| 5 2 -1 1 -1 -1 }}
|
|
|-
| [[2233/2232]]
| 0.77547
| (7×11×29)/(2<sup>3</sup>×3<sup>2</sup>×31)
| 2.3.7.11.29.31 {{monzo| -3 -2 1 1 1 -1 }}
|
|
|-
| [[2945/2944]]
| 0.58796
| (5×19×31)/(2<sup>7</sup>×23)
| 2.5.19.23.31 {{monzo| -7 1 1 -1 1 }}
|
|
|-
| [[2976/2975]]
| 0.58183
| (2<sup>5</sup>×3×31)/(5<sup>2</sup>×7×17)
| 2.3.5.7.17.31 {{monzo| 5 1 -2 -1 -1 1 }}
|
|
|-
|-
| [[3969/3968]]
| [[3969/3968]]
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"