Xenharmonic Wiki

List of superparticular intervals: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
mNo edit summary
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
No edit summary
Line 3,207: Line 3,207:
|  
|  
| S342
| S342
|-
| 122265/122264
| 0.014160
| (3<sup>2</sup>×5×11×13×19)/(2<sup>3</sup>×17×29×31)
| 2.3.5.11.13.17.19.29.31 {{monzo| -3 2 1 1 1 -1 1 -1 -1 }}
|
|
|}
|}


Line 3,314: Line 3,321:
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| Semaphorisma
| Semaphorisma
|
|-
| [[630/629]]
| 2.7502
| (2×3<sup>2</sup>×5×7)/(17×37)
| 2.3.5.7.17.37 {{monzo| 1 2 1 1 -1 -1 }}
|
|  
|  
|-
|-
Line 3,363: Line 3,377:
| 2.3.5.7.11.37 {{monzo| -2 -1 2 -1 -1 1 }}
| 2.3.5.7.11.37 {{monzo| -2 -1 2 -1 -1 1 }}
| Alphonsinisma
| Alphonsinisma
|
|-
| [[962/961]]
| 1.8006
| (2×13×37)/31<sup>2</sup>
| 2.13.31.37 {{monzo| 1 1 -2 1 }}
|
|
|-
| [[1000/999]]
| 1.7321
| (2×5)<sup>3</sup>/(3<sup>3</sup>×37)
| 2.3.5.37 {{monzo| 3 -3 3 -1 }}
|
|  
|  
|-
|-
Line 3,454: Line 3,482:
| 2.3.5.11.13.29.37 {{monzo| 1 -1 -1 -1 -1 1 1 }}
| 2.3.5.11.13.29.37 {{monzo| 1 -1 -1 -1 -1 1 1 }}
| Stentorisma
| Stentorisma
|
|-
| [[2295/2294]]
| 0.75451
| (3<sup>3</sup>×5×17)/(2×31×37)
| 2.3.5.17.31.37 {{monzo| -1 3 1 1 -1 -1 }}
|
|  
|  
|-
|-
Line 3,461: Line 3,496:
| 2.3.11.23.29.37 {{monzo| -3 1 -1 1 -1 1 }}
| 2.3.11.23.29.37 {{monzo| -3 1 -1 1 -1 1 }}
| Viljevisma
| Viljevisma
|
|-
| [[2738/2737]]
| 0.63241
| (2×37<sup>2</sup>)/(7×17×23)
| 2.7.17.23.37 {{monzo| 1 -1 -1 -1 2 }}
|
|  
|  
|-
|-
Line 3,468: Line 3,510:
| 2.3.5.7.11.19.37 {{monzo| 1 1 2 -1 -1 1 -1 }}
| 2.3.5.7.11.19.37 {{monzo| 1 1 2 -1 -1 1 -1 }}
| Mozhaiskisma
| Mozhaiskisma
|
|-
| [[3146/3145]]
| 0.55038
| (2×11<sup>2</sup>×13)/(5×17×37)
| 2.5.11.13.17.37 {{monzo| 1 -1 2 1 -1 -1 }}
|
|
|-
| [[3220/3219]]
| 0.53773
| (2<sup>2</sup>×5×7×23)/(3×29×37)
| 2.3.5.7.23.29.37 {{monzo| 2 -1 1 1 1 -1 -1 }}
|
|  
|  
|-
|-
Line 3,496: Line 3,552:
| 2.5.7.29.37 {{monzo| 1 -3 2 -1 1 }}
| 2.5.7.29.37 {{monzo| 1 -3 2 -1 1 }}
| Ohsakisma
| Ohsakisma
|
|-
| [[3627/3626]]
| 0.47738
| (3<sup>2</sup>×13×31)/(2×7<sup>2</sup>×37)
| 2.3.7.13.31.37 {{monzo| -1 2 -2 1 1 -1 }}
|
|  
|  
|-
|-
Line 3,503: Line 3,566:
| 2.3.7.11.17.37 {{monzo| 1 1 -3 -1 1 1 }}
| 2.3.7.11.17.37 {{monzo| 1 1 -3 -1 1 1 }}
| Megumisma
| Megumisma
|
|-
| [[4256/4255]]
| 0.40682
| (2<sup>5</sup>×7×19)/(5×23×37)
| 2.5.7.19.23.37 {{monzo| 5 -1 1 1 -1 -1 }}
|
|  
|  
|-
|-
Line 3,510: Line 3,580:
| 2.5.17.37 {{monzo| -4 3 -2 1 }}
| 2.5.17.37 {{monzo| -4 3 -2 1 }}
| Shchedrinisma
| Shchedrinisma
|
|-
| [[5291/5290]]
| 0.32723
| (11×13×37)/(2×5×23<sup>2</sup>)
| 2.5.11.13.23.37 {{monzo| -1 -1 1 1 -2 1 }}
|
|  
|  
|-
|-
Line 3,524: Line 3,601:
| 2.3.5.7.17.37 {{monzo| 6 -1 1 -2 1 -1 }}
| 2.3.5.7.17.37 {{monzo| 6 -1 1 -2 1 -1 }}
| Teraosma
| Teraosma
|
|-
| [[5625/5624]]
| 0.30780
| (3×5<sup>2</sup>)<sup>2</sup>/(2<sup>3</sup>×19×37)
| 2.3.5.19.37 {{monzo| -3 2 4 -1 -1 }}
|
| S75
|-
| [[6993/6992]]
| 0.24758
| (3<sup>3</sup>×7×37)/(2<sup>4</sup>×19×23)
| 2.3.7.19.23.37 {{monzo| -4 3 1 -1 -1 1 }}
|
|  
|  
|-
|-
Line 3,552: Line 3,643:
| 2.3.7.19.23.31.37 {{monzo| -3 1 1 1 1 -1 -1 }}
| 2.3.7.19.23.31.37 {{monzo| -3 1 1 1 1 -1 -1 }}
| Donsaarisma
| Donsaarisma
|
|-
| [[9251/9250]]
| 0.18715
| (11×29<sup>2</sup>)/(2×5<sup>3</sup>×37)
| 2.5.11.29.37 {{monzo| -1 -3 1 2 -1 }}
|
|  
|  
|-
|-
Line 3,581: Line 3,679:
| Zurakowskisma
| Zurakowskisma
| S111
| S111
|-
| 13690/13689
| 0.12646
| (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 }}
|
|
|-
| 13950/13949
| 0.12411
| (2×(3×5)<sup>2</sup>×31)/(13×29×37)
| 2.3.5.13.29.31.37 {{monzo| 1 2 2 -1 -1 1 -1 }}
|
|
|-
| 14652/14651
| 0.11816
| ((2×3)<sup>2</sup>×11×37)/(7<sup>2</sup>×13×23)
| 2.3.7.11.13.23.37 {{monzo| 2 2 -2 1 -1 -1 1 }}
|
|
|-
| 15873/15872
| 0.10907
| (3×11×13×37)/(2<sup>9</sup>×31)
| 2.3.11.13.31.37 {{monzo| -9 1 1 1 -1 1 }}
|
|
|-
| 16170/16169
| 0.10707
| (2×3×5×7<sup>2</sup>×11)/(19×23×37)
| 2.3.5.7.11.19.23.37 {{monzo| 1 1 1 2 1 -1 -1 -1 }}
|
|
|-
| 16576/16575
| 0.10445
| (2<sup>6</sup>×7×37)/(3×5<sup>2</sup>×13×17)
| 2.3.5.7.13.17.37 {{monzo| 6 -1 -2 1 -1 -1 1 }}
|
|
|-
| 17205/17204
| 0.10063
| (3×5×31×37)/(2<sup>2</sup>×11×17×23)
| 2.3.5.11.17.23.31.37 {{monzo| -2 1 1 -1 -1 -1 1 1 }}
|
|
|-
| 17576/17575
| 0.098503
| (2×13)<sup>3</sup>/(5<sup>2</sup>×19×37)
| 2.5.13.19.37 {{monzo| 3 -2 3 -1 -1 }}
|
|
|-
|-
| [[18241/18240]]
| [[18241/18240]]
Line 3,587: Line 3,741:
| 2.3.5.17.19.29.37 {{monzo| -6 -1 -1 1 -1 1 1 }}
| 2.3.5.17.19.29.37 {{monzo| -6 -1 -1 1 -1 1 1 }}
| Genzelisma
| Genzelisma
|
|-
| 19500/19499
| 0.088784
| (2<sup>2</sup>×3×5<sup>3</sup>×13)/(17×31×37)
| 2.3.5.13.17.31.37 {{monzo| 2 1 3 1 -1 -1 -1 }}
|
|
|-
| 19684/19683
| 0.087954
| (2<sup>2</sup>×7×19×37)/3<sup>9</sup>
| 2.3.7.19.37 {{monzo| 2 -9 1 1 1 }}
|
|  
|  
|-
|-
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"