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List of superparticular intervals: Difference between revisions

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29-, 31- and 37-limit sections split into subpages, as discussed on talk page
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=== 29-limit ===
=== 29-limit ===
{| class="wikitable center-6" style="width:100%"
{{Main|List of superparticular intervals/29-limit}}
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[29/28]]
| 60.751
| 29/(2<sup>2</sup>×7)
| 2.7.29 {{monzo| -2 -1 1 }}
| Vicesimononal thirdtone, vicesimononal subchroma, large vicesimononal quartertone, large vicesimononal 2/7-tone
|
|-
| [[30/29]]
| 58.692
| (2×3×5)/29
| 2.3.5.29 {{monzo| 1 1 1 -1 }}
| Small vicesimononal quartertone, small vicesimononal 2/7-tone
|
|-
| [[58/57]]
| 30.109
| (2×29)/(3×19)
| 2.3.19.29 {{monzo| 1 -1 -1 1 }}
| Vicesimononal 1/7-tone
|
|-
| [[88/87]]
| 19.786
| (2<sup>3</sup>×11)/(3×29)
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| Vicesimononal 1/10-tone, farewell comma
|
|-
| [[116/115]]
| 14.989
| (2<sup>2</sup>×29)/(5×23)
| 2.5.23.29 {{monzo| 2 -1 -1 1 }}
| Sironisma
|
|-
| [[117/116]]
| 14.860
| (3<sup>2</sup>×13)/(2<sup>2</sup>×29)
| 2.3.13.29 {{monzo| -2 2 1 -1 }}
| Lomisma
|
|-
| [[145/144]]
| 11.981
| (5×29)/(2<sup>2</sup>×3)<sup>2</sup>
| 2.3.5.29 {{monzo| -4 -2 1 1 }}
| Adeonisma, 29th-partial chroma
|
|-
| [[175/174]]
| 9.9211
| (5<sup>2</sup>×7)/(2×3×29)
| 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }}
| Major chthonovinema
|
|-
| [[204/203]]
| 8.5073
| (2<sup>2</sup>×3×17)/(7×29)
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }}
| Kallistisma
|
|-
| [[232/231]]
| 7.4783
| (2<sup>3</sup>×29)/(3×7×11)
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }}
| Major paravinema
|
|-
| [[261/260]]
| 6.6458
| (3<sup>2</sup>×29)/(2<sup>2</sup>×5×13)
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }}
| Major vinetonema
|
|-
| [[290/289]]
| 5.9801
| (2×5×29)/17<sup>2</sup>
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
| Brunisma
|
|-
| [[320/319]]
| 5.4186
| (2<sup>6</sup>×5)/(11×29)
| 2.5.11.29 {{monzo| 6 1 -1 -1 }}
| Minor paravinema
|
|-
| [[378/377]]
| 4.5861
| (2×3<sup>3</sup>×7)/(13×29)
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }}
| Major semivinema
|
|-
| [[406/405]]
| 4.2694
| (2×7×29)/(3<sup>4</sup>×5)
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }}
| Minor semivinema
|
|-
| [[494/493]]
| 3.5081
| (2×13×19)/(17×29)
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }}
| Minor vinetonema
|
|-
| [[551/550]]
| 3.1448
| (19×29)/(2×5<sup>2</sup>×11)
| 2.5.11.19.29 {{monzo| -1 -2 -1 1 1 }}
| Minor chthonovinema
|
|-
| [[552/551]]
| 3.1391
| (2<sup>3</sup>×3×23)/(19×29)
| 2.3.19.23.29 {{monzo| 3 1 -1 1 -1 }}
| Sigelindisma
|
|-
| [[609/608]]
| 2.8451
| (3×7×29)/(2<sup>5</sup>×19)
| 2.3.7.19.29 {{monzo| -5 1 1 -1 1 }}
| Vineyard comma
|
|-
| [[638/637]]
| 2.7157
| (2×11×29)/(7<sup>2</sup>×13)
| 2.7.11.13.29 {{monzo| 1 -2 1 -1 1 }}
| Moirisma
|
|-
| [[726/725]]
| 2.3863
| (2×3×11<sup>2</sup>)/(5<sup>2</sup>×29)
| 2.3.5.11.29 {{monzo| 1 1 -2 2 -1 }}
| Joellisma
|
|-
| [[783/782]]
| 2.2124
| (3<sup>3</sup>×29)/(2×17×23)
| 2.3.17.23.29 {{monzo| -1 3 -1 -1 1 }}
| Norisma
|
|-
| [[784/783]]
| 2.2096
| (2<sup>2</sup>×7)<sup>2</sup>/(3<sup>3</sup>×29)
| 2.3.7.29 {{monzo| 4 -3 2 -1 }}
| Biminorisma, spoogalactic comma
| S28
|-
| [[841/840]]
| 2.0598
| 29<sup>2</sup>/(2<sup>3</sup>×3×5×7)
| 2.3.5.7.29 {{monzo| -3 -1 -1 -1 2 }}
| Arabellisma
| S29
|-
| [[1015/1014]]
| 1.7065
| (5×7×29)/(2×3×13<sup>2</sup>)
| 2.3.5.7.13.29 {{monzo| -1 -1 1 1 -2 1 }}
| Christisma
|
|-
| [[1045/1044]]
| 1.6575
| (5×11×19)/((2×3)<sup>2</sup>×29)
| 2.3.5.11.19.29 {{monzo| -2 -2 1 1 1 -1 }}
| Michelisma
|
|-
| [[1276/1275]]
| 1.3573
| (2<sup>2</sup>×11×29)/(3×5<sup>2</sup>×17)
| 2.3.5.11.17.29 {{monzo| 2 -1 -2 1 -1 1 }}
| Ucclisma
|
|-
| [[1450/1449]]
| 1.1944
| (2×5<sup>2</sup>×29)/(3<sup>2</sup>×7×23)
| 2.3.5.7.23.29 {{monzo| 1 -2 2 -1 -1 1 }}
| Raimondisma
|
|-
| [[1596/1595]]
| 1.0851
| (2<sup>2</sup>×3×7×19)/(5×11×29)
| 2.3.5.7.11.19.29 {{monzo| 2 1 -1 1 -1 1 -1 }}
| Itzigsohnisma
|
|-
| [[1625/1624]]
| 1.0657
| (5<sup>3</sup>×13)/(2<sup>3</sup>×7×29)
| 2.5.7.13.29 {{monzo| -3 3 -1 1 -1 }}
| Norcma
|
|-
| [[1683/1682]]
| 1.0290
| (3<sup>2</sup>×11×17)/(2×29<sup>2</sup>)
| 2.3.11.17.29 {{monzo| -1 2 1 1 -2 }}
| Castafiorisma
|
|-
| [[2001/2000]]
| 0.86540
| (3×23×29)/(2<sup>4</sup>×5<sup>3</sup>)
| 2.3.5.23.29 {{monzo| -4 1 -3 1 1 }}
| Major discoverisma
|
|-
| [[2002/2001]]
| 0.86497
| (2×7×11×13)/(3×23×29)
| 2.3.7.11.13.23.29 {{monzo| 1 -1 1 1 1 -1 -1 }}
| Minor discoverisma
|
|-
| [[2176/2175]]
| 0.79579
| (2<sup>7</sup>×17)/(3×5<sup>2</sup>×29)
| 2.3.5.17.29 {{monzo| 7 -1 -2 1 -1 }}
| Donarisma
|
|-
| [[2205/2204]]
| 0.78532
| ((3×7)/2)<sup>2</sup>×(5/(19×29))
| 2.3.5.7.19.29 {{monzo| -2 2 1 2 -1 -1 }}
| Glinkisma
|
|-
| [[2262/2261]]
| 0.76552
| (2×3×13×29)/(7×17×19)
| 2.3.7.13.17.19.29 {{monzo| 1 1 -1 1 -1 -1 1 }}
| Mitidikisma
|
|-
| [[2465/2464]]
| 0.70247
| (5×17×29)/(2<sup>5</sup>×7×11)
| 2.5.7.11.17.29 {{monzo| -5 1 -1 -1 1 1 }}
| Laservine comma
|
|-
| [[2640/2639]]
| 0.65589
| (2<sup>4</sup>×3×5×11)/(7×13×29)
| 2.3.5.7.11.13.29 {{monzo| 4 1 1 -1 1 -1 -1 }}
| Hällströmisma
|
|-
| [[2755/2754]]
| 0.62851
| (5×19×29)/(2×3<sup>4</sup>×17)
| 2.3.5.17.19.29 {{monzo| -1 -4 1 -1 1 1 }}
| Avicema
|
|-
| [[2784/2783]]
| 0.62196
| (2<sup>5</sup>×3×29)/(11<sup>2</sup>×23)
| 2.3.11.23.29 {{monzo| 5 1 -2 -1 1 }}
| Domeykisma
|
|-
| [[3249/3248]]
| 0.53293
| (3×19)<sup>2</sup>/(2<sup>4</sup>×7×29)
| 2.3.7.19.29 {{monzo| -4 2 -1 2 -1 }}
| Musashinisma, Musashino comma
| S57
|-
| [[3451/3450]]
| 0.50173
| (7×17×29)/(2×3×5<sup>2</sup>×23)
| 2.3.5.7.17.23.29 {{monzo| -1 -1 -2 1 1 -1 1 }}
| Mentorisma
|
|-
| [[3510/3509]]
| 0.49330
| (2×3<sup>3</sup>×5×13)/(11<sup>2</sup>×29)
| 2.3.5.11.13.29 {{monzo| 1 3 1 -2 1 -1 }}
| Veederisma
|
|-
| [[4641/4640]]
| 0.37307
| (3×7×13×17)/(2<sup>5</sup>×5×29)
| 2.3.5.7.13.17.29 {{monzo| -5 1 -1 1 1 1 -1 }}
| Vinecute comma
|
|-
| [[4785/4784]]
| 0.36184
| (3×5×11×29)/(2<sup>4</sup>×13×23)
| 2.3.5.11.13.23.29 {{monzo| -4 1 1 1 -1 -1 1 }}
| Petrovsma
|
|-
| [[4901/4900]]
| 0.35328
| (13/(2×5×7))<sup>2</sup>×29
| 2.5.7.13.29 {{monzo| -2 -2 -2 2 1 }}
| Large grapevine comma
|
|-
| [[5104/5103]]
| 0.33922
| (2<sup>4</sup>×11×29)/(3<sup>6</sup>×7)
| 2.3.7.11.29 {{monzo| 4 -6 -1 1 1 }}
|
|
|-
| [[5888/5887]]
| 0.29405
| (2<sup>8</sup>×23)/(7×29<sup>2</sup>)
| 2.7.23.29 {{monzo| 8 -1 1 -2 }}
| Vinocular comma
|
|-
| [[5916/5915]]
| 0.29266
| (2<sup>2</sup>×3×17×29)/(5×7×13<sup>2</sup>)
| 2.3.5.7.13.17.29 {{monzo| 2 1 -1 -1 -2 1 1 }}
| Woudisma
|
|-
| [[6670/6669]]
| 0.25957
| (2×5×23×29)/(3<sup>3</sup>×13×19)
| 2.3.5.13.19.23.29 {{monzo| 1 -3 1 -1 -1 1 1 }}
|
|
|-
| [[7106/7105]]
| 0.24365
| (2×11×17×19)/(5×7<sup>2</sup>×29)
| 2.5.7.11.17.19.29 {{monzo| 1 -1 -2 1 1 1 -1 }}
|
|
|-
| [[7425/7424]]
| 0.23318
| (3<sup>3</sup>×5<sup>2</sup>×11)/(2<sup>8</sup>×29)
| 2.3.5.11.29 {{monzo| -8 3 2 1 -1 }}
| Small grapevine comma
|
|-
| [[7889/7888]]
| 0.21946
| (7<sup>3</sup>×23)/(2<sup>4</sup>×17×29)
| 2.7.17.23.29 {{monzo| -4 3 -1 1 -1 }}
|
|
|-
| [[8671/8670]]
| 0.19967
| (13×23×29)/(2×3×5×17<sup>2</sup>)
| 2.3.5.13.17.23.29 {{monzo| -1 -1 -1 1 -2 1 1 }}
| Vinous comma, vinousma
|
|-
| [[9802/9801]]
| 0.17663
| (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 }}
|
|
|-
| [[10557/10556]]
| 0.16400
| (3<sup>3</sup>×17×23)/(2<sup>2</sup>×7×13×29)
| 2.3.7.13.17.23.29 {{monzo| -2 3 -1 -1 1 1 -1 }}
| Rowlandisma
|
|-
| 11340/11339
| 0.15267
| (2<sup>2</sup>×3<sup>4</sup>×5×7)/(17×23×29)
| 2.3.5.7.17.23.29 {{monzo| 2 4 1 1 -1 -1 -1 }}
|
|
|-
| [[Uma|12006/12005]]
| 0.14420
| (2×3<sup>2</sup>×23×29)/(5×7<sup>4</sup>)
| 2.3.5.7.23.29 {{monzo| 1 2 -1 -4 1 1 }}
| Uma, umic comma
|
|-
| 12673/12672
| 0.13661
| (19×23×29)/(2<sup>7</sup>×3<sup>2</sup>×11)
| 2.3.11.19.23.29 {{monzo| -7 -2 -1 1 1 1 }}
|
|
|-
| 13225/13224
| 0.13091
| (5×23)<sup>2</sup>/(2<sup>3</sup>×3×19×29)
| 2.3.5.19.23.29 {{monzo| -3 -1 2 -1 2 -1 }}
|
| S115
|-
| 13311/13310
| 0.13007
| (3<sup>3</sup>×17×29)/(2×5×11<sup>3</sup>)
| 2.3.5.11.17.29 {{monzo| -1 3 -1 -3 1 1 }}
|
|
|-
| 13312/13311
| 0.13006
| (2<sup>10</sup>×13)/(3<sup>3</sup>×17×29)
| 2.3.13.17.29 {{monzo| 10 -3 1 -1 -1 }}
|
|
|-
| 13456/13455
| 0.12866
| (2<sup>2</sup>×29)<sup>2</sup>/(3<sup>2</sup>×5×13×23)
| 2.3.5.13.23.29 {{monzo| 4 -2 -1 -1 -1 2 }}
|
| S116
|-
| 19228/19227
| 0.090039
| (2<sup>2</sup>×11×19×23)/(3×13×17×29)
| 2.3.11.13.17.19.23.29 {{monzo| 2 -1 1 -1 -1 1 1 -1 }}
|
|
|-
| 20736/20735
| 0.083491
| (2<sup>2</sup>×3)<sup>4</sup>/(5×11×13×29)
| 2.3.5.11.13.29 {{monzo| 8 4 -1 -1 -1 -1 }}
|
| S144
|-
| 23751/23750
| 0.072893
| (3<sup>2</sup>×7×13×29)/(2×5<sup>4</sup>×19)
| 2.3.5.7.13.19.29 {{monzo| -1 2 -4 1 1 -1 1 }}
|
|
|-
| 24795/24794
| 0.069823
| (3<sup>2</sup>×5×19×29)/(2×7<sup>2</sup>×11×23)
| 2.3.5.7.11.19.23.29 {{monzo| -1 2 1 -2 -1 1 -1 1 }}
|
|
|-
| [[Vuillafansisma|25840/25839]]
| 0.067000
| (2<sup>4</sup>×5×17×19)/(3<sup>4</sup>×11×29)
| 2.3.5.11.17.19.29 {{monzo| 4 -4 1 -1 1 1 -1 }}
| Vuillafansisma
|
|-
| 27000/26999
| 0.064121
| (2×3×5)<sup>3</sup>/(7<sup>2</sup>×19×29)
| 2.3.5.7.19.29 {{monzo| 3 3 3 -2 -1 -1 }}
|
|
|-
| 30625/30624
| 0.056531
| (5<sup>2</sup>×7)<sup>2</sup>/(2<sup>5</sup>×3×11×29)
| 2.3.5.7.11.29 {{monzo| -5 -1 4 2 -1 -1 }}
|
| S175
|-
| 30856/30855
| 0.056108
| (2<sup>3</sup>×7×19×29)/(3×5×11<sup>2</sup>×17)
| 2.3.5.7.11.17.19.29 {{monzo| 3 -1 -1 1 -2 -1 1 1 }}
|
|
|-
| 35322/35321
| 0.049014
| (2×3×7×29<sup>2</sup>)/(11×13<sup>2</sup>×19)
| 2.3.7.11.13.19.29 {{monzo| 1 1 1 -1 -2 -1 2 }}
|
|
|-
| 47125/47124
| 0.036737
| (5<sup>3</sup>×13×29)/((2×3)<sup>2</sup>×7×11×17)
| 2.3.5.7.11.13.17.29 {{monzo| -2 -2 3 -1 -1 1 -1 1 }}
|
|
|-
| 53361/53360
| 0.032444
| (3×7×11)<sup>2</sup>/(2<sup>4</sup>×5×23×29)
| 2.3.5.7.11.23.29 {{monzo| -4 2 -1 2 2 -1 -1 }}
|
| S231
|-
| 72501/72500
| 0.023879
| (3×11×13<sup>3</sup>)/((2×5<sup>2</sup>)<sup>2</sup>×29)
| 2.3.5.11.13.29 {{monzo| -2 1 -4 1 3 -1 }}
|
|
|-
| 83521/83520
| 0.020728
| 17<sup>4</sup>/((2<sup>3</sup>×3)<sup>2</sup>×5×29)
| 2.3.5.17.29 {{monzo| -6 -2 -1 4 -1 }}
|
| S289
|-
| 87465/87464
| 0.019794
| (3×5×7<sup>3</sup>×17)/(2<sup>3</sup>×13×29<sup>2</sup>)
| 2.3.5.7.13.17.29 {{monzo| -3 1 1 3 -1 1 -2 }}
|
|
|-
| 136851/136850
| 0.012651
| (3×11<sup>2</sup>×13×29)/(2×5<sup>2</sup>×7×17×23)
| 2.3.5.7.11.13.17.23.29 {{monzo| -1 1 -2 -1 2 1 -1 -1 1 }}
|
|
|-
| 158950/158949
| 0.010892
| (2×(5×17)<sup>2</sup>×11)/(3<sup>3</sup>×7×29<sup>2</sup>)
| 2.3.5.7.11.17.29 {{monzo| 1 -3 2 -1 1 2 -2 }}
|
|
|-
| 166635/166634
| 0.010389
| ((3×23)<sup>2</sup>×5×7)/(2×13<sup>2</sup>×17×29)
| 2.3.5.7.13.17.23.29 {{monzo| -1 2 1 1 -2 -1 2 -1 }}
|
|
|-
| 168751/168750
| 0.010259
| (11×23<sup>2</sup>×29)/(2×3<sup>3</sup>×5<sup>5</sup>)
| 2.3.5.11.23.29 {{monzo| -1 -3 -5 1 2 1 }}
|
|
|-
| 176001/176000
| 0.0098365
| (3×7×17<sup>2</sup>×29)/(2<sup>7</sup>×5<sup>3</sup>×11)
| 2.3.5.7.11.17.29 {{monzo| -7 1 -3 1 -1 2 1 }}
|
|
|-
| 176176/176175
| 0.0098268
| (2<sup>4</sup>×7×11<sup>2</sup>×13)/(3<sup>5</sup>×5<sup>2</sup>×29)
| 2.3.5.7.11.13.29 {{monzo| 4 -5 -2 1 2 1 -1 }}
|
|
|-
| 184093/184092
| 0.0094042
| ((7×17)<sup>2</sup>×13)/((2×23)<sup>2</sup>×3×29)
| 2.3.7.13.17.23.29 {{monzo| -2 -1 2 1 2 -2 -1 }}
|
|
|-
| 240787/240786
| 0.0071899
| (19<sup>2</sup>×23×29)/(2×(3×7)<sup>3</sup>×13)
| 2.3.7.13.19.23.29 {{monzo| -1 -3 -3 -1 2 1 1 }}
|
|
|-
| 244036/244035
| 0.0070942
| (2×13×19)<sup>2</sup>/(3<sup>2</sup>×5×11×17×29)
| 2.3.5.11.13.17.19.29 {{monzo| 2 -2 -1 -1 2 -1 2 -1 }}
|
| S494
|-
| 303601/303600
| 0.0057023
| ((19×29)/(2<sup>2</sup>×5))<sup>2</sup>/(3×11×23)
| 2.3.5.11.19.23.29 {{monzo| -4 -1 -2 -1 2 -1 2 }}
|
| S551
|-
| 410670/410669
| 0.0042156
| (2×3<sup>5</sup>×5×13<sup>2</sup>)/((7×17)<sup>2</sup>×29)
| 2.3.5.7.13.17.29 {{monzo| 1 5 1 -2 2 -2 -1 }}
|
|
|-
| 418761/418760
| 0.0041342
| ((3×17)<sup>2</sup>×7×23)/(2<sup>3</sup>×5×19<sup>2</sup>×29)
| 2.3.5.7.17.19.23.29 {{monzo| -3 2 -1 1 2 -2 1 -1 }}
|
|
|-
| 613089/613088
| 0.0028238
| (3<sup>3</sup>×29)<sup>2</sup>/(2<sup>5</sup>×7<sup>2</sup>×17×23)
| 2.3.7.17.23.29 {{monzo| -5 6 -2 -1 -1 2 }}
|
| S783
|-
| 949026/949025
| 0.0018242
| (2×3×13×23<sup>3</sup>)/(5<sup>2</sup>×7×11×17×29)
| 2.3.5.7.11.13.17.23.29 {{monzo| 1 1 -2 -1 -1 1 -1 3 -1 }}
|
|
|-
| 1163800/1163799
| 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 }}
|
|
|-
| 1235169/1235168
| 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 }}
|
|
|-
| 1243840/1243839
| 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 }}
|
|
|-
| 1625625/1625624
| 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 }}
|
| S1275
|-
| 1852201/1852200
| 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 }}
|
|
|-
| 2697696/2697695
| 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 }}
|
|
|-
| [[Odyssey comma|4004001/4004000]]
| 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 }}
| Odyssey comma
| S2001
|-
| 4090625/4090624
| 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 }}
|
|
|-
| 8268800/8268799
| 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 }}
|
|
|-
| <font style="font-size:0.88em">10556001/10556000</font>
| 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 }}
|
| S3249
|-
| <font style="font-size:0.88em">18085705/18085704</font>
| 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 }}
|
|
|-
| <font style="font-size:0.88em">96059601/96059600</font>
| 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 }}
|
| S9801
|-
| <font style="font-size:0.79em">177182721/177182720</font>
| 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 }}
|
| S13311
|}


=== 31-limit ===
=== 31-limit ===
{| class="wikitable center-6" style="width:100%"
{{Main|List of superparticular intervals/31-limit}}
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[31/30]]
| 56.767
| 31/(2×3×5)
| 2.3.5.31 {{monzo| -1 -1 -1 1 }}
| Large tricesimoprimal 1/4-tone
|
|-
| [[32/31]]
| 54.964
| 2<sup>5</sup>/31
| 2.31 {{monzo| 5 -1 }}
| Small tricesimoprimal 1/4-tone, octave-reduced 31st subharmonic
|
|-
| [[63/62]]
| 27.700
| (3<sup>2</sup>×7)/(2×31)
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| Tricesimoprimal 1/8-tone, co-archyta comma
|
|-
| [[93/92]]
| 18.716
| (3×31)/(2<sup>2</sup>×23)
| 2.3.23.31 {{monzo| -2 1 -1 1 }}
| Tricema
|
|-
| [[125/124]]
| 13.906
| 5<sup>3</sup>/(2<sup>2</sup>×31)
| 2.5.31 {{monzo| -2 3 -1 }}
| Twizzler
|
|-
| [[155/154]]
| 11.205
| (5×31)/(2×7×11)
| 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }}
| Scyllisma
|
|-
| [[156/155]]
| 11.133
| (2<sup>2</sup>×3×13)/(5×31)
| 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }}
| Xanthippisma
|
|-
| [[187/186]]
| 9.2828
| (11×17)/(2×3×31)
| 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }}
| Lambertisma
|
|-
| [[217/216]]
| 7.9965
| (7×31)/(2×3)<sup>3</sup>
| 2.3.7.31 {{monzo| -3 -3 1 1 }}
| Eudorisma, tricesimoprimal kleisma
|
|-
| [[248/247]]
| 6.9949
| (2<sup>3</sup>×31)/(13×19)
| 2.13.19.31 {{monzo| 3 -1 -1 1 }}
| Lameisma
|
|-
| [[280/279]]
| 6.1940
| (2<sup>3</sup>×5×7)/(3<sup>2</sup>×31)
| 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }}
| Tricetone comma
|
|-
| [[341/340]]
| 5.0844
| (11×31)/(2<sup>2</sup>×5×17)
| 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }}
| Californisma
|
|-
| [[342/341]]
| 5.0695
| (2×3<sup>2</sup>×19)/(11×31)
| 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }}
| Endymisma
|
|-
| [[435/434]]
| 3.9844
| (3×5×29)/(2×7×31)
| 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }}
| Chinthisma
|
|-
| [[465/464]]
| 3.7271
| (3×5×31)/(2<sup>4</sup>×29)
| 2.3.5.29.31 {{monzo| -4 1 1 -1 1 }}
| Alektisma
|
|-
| [[496/495]]
| 3.4939
| (2<sup>4</sup>×31)/(3<sup>2</sup>×5×11)
| 2.3.5.11.31 {{monzo| 4 -2 -1 -1 1 }}
| Navatonisma
|
|-
| [[528/527]]
| 3.2820
| (2<sup>4</sup>×3×11)/(17×31)
| 2.3.11.17.31 {{monzo| 4 1 1 -1 -1 }}
| Rezisma
|
|-
| [[589/588]]
| 2.9418
| (19×31)/(2<sup>2</sup>×3×7<sup>2</sup>)
| 2.3.7.19.31 {{monzo| -2 -1 -2 1 1 }}
| Croatisma
|
|-
| [[621/620]]
| 2.7901
| (3<sup>3</sup>×23)/(2<sup>2</sup>×5×31)
| 2.3.5.23.31 {{monzo| -2 3 -1 1 -1 }}
| Owowhatsthisma
|
|-
| [[651/650]]
| 2.6614
| (3×7×31)/(2×5<sup>2</sup>×13)
| 2.3.5.7.13.31 {{monzo| -1 1 -2 1 -1 1 }}
| Antiklisma
|
|-
| [[714/713]]
| 2.4264
| (2×3×7×17)/(23×31)
| 2.3.7.17.23.31 {{monzo| 1 1 1 1 -1 -1 }}
| Ululisma
|
|-
| [[806/805]]
| 2.1493
| (2×13×31)/(5×7×23)
| 2.5.7.13.23.31 {{monzo| 1 -1 -1 1 -1 1 }}
|
|
|-
| [[837/836]]
| 2.0696
| (3<sup>3</sup>×31)/(2<sup>2</sup>×11×19)
| 2.3.11.19.31 {{monzo| -2 3 -1 -1 1 }}
|
|
|-
| [[868/867]]
| 1.9957
| (2<sup>2</sup>×7×31)/(3×17<sup>2</sup>)
| 2.3.7.17.31 {{monzo| 2 -1 1 -2 1 }}
|
|
|-
| [[900/899]]
| 1.9247
| (2×3×5)<sup>2</sup>/(29×31)
| 2.3.5.29.31 {{monzo| 2 2 2 -1 -1 }}
|
| S30
|-
| [[931/930]]
| 1.8605
| (7<sup>2</sup>×19)/(2×3×5×31)
| 2.3.5.7.19.31 {{monzo| -1 -1 -1 2 1 -1 }}
|
|
|-
| [[961/960]]
| 1.8024
| 31<sup>2</sup>/(2<sup>6</sup>×3×5)
| 2.3.5.31 {{monzo| -6 -1 -1 2 }}
|
| S31
|-
| [[1024/1023]]
| 1.6915
| 2<sup>10</sup>/(3×11×31)
| 2.3.11.31 {{monzo| 10 -1 -1 -1 }}
| Kibisma
| 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 }}
| Kuznetsovisma
|
|-
| [[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 }}
|
|
|-
| [[3565/3564]]
| 0.48569
| (5×23×31)/((2×3<sup>2</sup>)<sup>2</sup>×11)
| 2.3.5.11.23.31 {{monzo| -2 -4 1 -1 1 1 }}
|
|
|-
| [[3751/3750]]
| 0.46160
| (11<sup>2</sup>×31)/(2×3×5<sup>4</sup>)
| 2.3.5.11.31 {{monzo| -1 -1 -4 2 1 }}
|
|
|-
| [[3876/3875]]
| 0.44671
| (2<sup>2</sup>×3×17×19)/(5<sup>3</sup>×31)
| 2.3.5.17.19.31 {{monzo| 2 1 -3 1 1 -1 }}
|
|
|-
| [[3969/3968]]
| 0.43624
| (3<sup>2</sup>×7)<sup>2</sup>/(2<sup>7</sup>×31)
| 2.3.7.31 {{monzo| -7 4 2 -1 }}
| Yunzee comma
| S63
|-
| [[4186/4185]]
| 0.41363
| (2×7×13×23)/(3<sup>3</sup>×5×31)
| 2.3.5.7.13.23.31 {{monzo| 1 -3 -1 1 1 1 -1 }}
| Tamashimisma
|
|-
| [[4960/4959]]
| 0.34907
| (2<sup>5</sup>×5×31)/(3<sup>2</sup>×19×29)
| 2.3.5.19.29.31 {{monzo| 5 -2 1 -1 -1 1 }}
|
|
|-
| [[4992/4991]]
| 0.34684
| (2<sup>7</sup>×3×13)/(7×23×31)
| 2.3.7.13.23.31 {{monzo| 7 1 -1 1 -1 -1 }}
| Kalmanisma
|
|-
| [[5643/5642]]
| 0.30682
| (3<sup>3</sup>×11×19)/(2×7×13×31)
| 2.3.7.11.13.19.31 {{monzo| -1 3 -1 1 -1 1 -1 }}
|
|
|-
| [[5797/5796]]
| 0.29867
| (11×17×31)/((2×3)<sup>2</sup>×7×23)
| 2.3.7.11.17.23.31 {{monzo| -2 -2 -1 1 1 -1 1 }}
| Bivojisma
|
|-
| [[6076/6075]]
| 0.28495
| ((2×7)<sup>2</sup>×31)/(3<sup>5</sup>×5<sup>2</sup>)
| 2.3.5.7.31 {{monzo| 2 -5 -2 2 1 }}
| Large ricegrain comma
|
|-
| [[6138/6137]]
| 0.28207
| (2×3<sup>2</sup>×11×31)/(17×19<sup>2</sup>)
| 2.3.11.17.19.31 {{monzo| 1 2 1 -1 -2 1 }}
|
|
|-
| [[6293/6292]]
| 0.27513
| (7×29×31)/((2×11)<sup>2</sup>×13)
| 2.7.11.13.29.31 {{monzo| -2 1 -2 -1 1 1 }}
|
|
|-
| [[6325/6324]]
| 0.27373
| (5<sup>2</sup>×11×23)/(2<sup>2</sup>×3×17×31)
| 2.3.5.11.17.23.31 {{monzo| -2 -1 2 1 -1 1 -1 }}
|
|
|-
| [[6480/6479]]
| 0.26719
| ((2×3)<sup>4</sup>×5)/(11×19×31)
| 2.3.5.11.19.31 {{monzo| 4 4 1 -1 -1 -1 }}
| Scarlattisma
|
|-
| [[6728/6727]]
| 0.25734
| (2<sup>3</sup>×29<sup>2</sup>)/(7×31<sup>2</sup>)
| 2.7.29.31 {{monzo| 3 -1 2 -2 }}
| Sushi comma
|
|-
| [[7657/7656]]
| 0.22611
| (13×19×31)/(2<sup>3</sup>×3×11×29)
| 2.3.11.13.19.29.31 {{monzo| -3 -1 -1 1 1 -1 1 }}
|
|
|-
| [[7905/7904]]
| 0.21902
| (3×5×17×31)/(2<sup>5</sup>×13×19)
| 2.3.5.13.17.19.31 {{monzo| -5 1 1 -1 1 -1 1 }}
|
|
|-
| [[7936/7935]]
| 0.21816
| (2<sup>8</sup>×31)/(3×5×23<sup>2</sup>)
| 2.3.5.23.31 {{monzo| 8 -1 -1 -2 1 }}
|
|
|-
| [[8092/8091]]
| 0.21396
| ((2×17)<sup>2</sup>×7)/(3<sup>2</sup>×29×31)
| 2.3.7.17.29.31 {{monzo| 2 -2 1 2 -1 -1 }}
|
|
|-
| [[8464/8463]]
| 0.20455
| (2<sup>2</sup>×23)<sup>2</sup>/(3×7×13×31)
| 2.3.7.13.23.31 {{monzo| 4 -1 -1 -1 2 -1 }}
| Polishookisma
| 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]]
| 0.19323
| (2<sup>8</sup>×5×7)/(17<sup>2</sup>×31)
| 2.5.7.17.31 {{monzo| 8 1 1 -2 -1 }}
| Small ricegrain comma
|
|-
| [[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
| (5×7×11×31)/(2×3<sup>3</sup>×13×17)
| 2.3.5.7.11.13.17.31 {{monzo| -1 -3 1 1 1 -1 -1 1 }}
|
|
|-
| 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
| 5<sup>6</sup>/(2<sup>3</sup>×3<sup>2</sup>×7×31)
| 2.3.5.7.31 {{monzo| -3 -2 6 -1 -1 }}
|
| S125
|-
| [[Acronymisma|17577/17576]]
| 0.098497
| (3<sup>4</sup>×7×31)/(2<sup>3</sup>×13<sup>3</sup>)
| 2.3.7.13.31 {{monzo| -3 4 1 -3 1 }}
| Acronymisma
|
|-
| [[Totziensisma|19251/19250]]
| 0.089931
| (3<sup>3</sup>×23×31)/(2×5<sup>3</sup>×7×11)
| 2.3.5.7.11.23.31 {{monzo| -1 3 -3 -1 -1 1 1}}
| Totziensisma
|
|-
| [[Honeybrookisma|19344/19343]]
| 0.089500
| (2<sup>4</sup>×3×13×31)/(23×29<sup>2</sup>)
| 2.3.13.23.29.31 {{monzo| 4 1 1 -1 -2 1 }}
| Honeybrookisma
|
|-
| 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
| (2×7×11)<sup>2</sup>/(3<sup>2</sup>×5×17×31)
| 2.3.5.7.11.17.31 {{monzo| 2 -2 -1 2 2 -1 -1 }}
|
| S154
|-
| 24025/24024
| 0.072061
| (5×31)<sup>2</sup>/(2<sup>3</sup>×3×7×11×13)
| 2.3.5.7.11.13.31 {{monzo| -3 -1 2 -1 -1 -1 2 }}
|
| 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]]
| 0.058112
| (2<sup>5</sup>×7<sup>2</sup>×19)/31<sup>3</sup>
| 2.7.19.31 {{monzo| 5 2 1 -3 }}
| Tricecubisma
|
|-
| 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
| (11×31)<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×5×17×19)
| 2.3.5.11.17.19.31 {{monzo| -3 -2 -1 2 -1 -1 2 }}
|
| 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
|-
| 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 }}
|
|
|-
| 174097/174096
| 0.0099441
| (7<sup>2</sup>×11×17×19)/(2<sup>4</sup>×3<sup>3</sup>×13×31)
| 2.3.7.11.13.17.19.31 {{monzo| -4 -3 2 1 -1 1 1 -1 }}
|
|
|-
| 175770/175769
| 0.0098495
| (2×3<sup>4</sup>×5×7×31)/(11×19×29<sup>2</sup>)
| 2.3.5.7.11.19.29.31 {{monzo| 1 4 1 1 -1 -1 -2 1 }}
|
|
|-
| 178126/178125
| 0.0097192
| (2×13<sup>2</sup>×17×31)/(3×5<sup>5</sup>×19)
| 2.3.5.13.17.19.31 {{monzo| 1 -1 -5 2 1 -1 1 }}
|
|
|-
| 190464/190463
| 0.0090896
| (2<sup>11</sup>×3×31)/((7×13)<sup>2</sup>×23)
| 2.3.7.13.23.31 {{monzo| 11 1 -2 -2 -1 1 }}
|
|
|-
| 207576/207575
| 0.0083403
| ((2×3)<sup>3</sup>×31<sup>2</sup>)/((5×19)<sup>2</sup>×23)
| 2.3.5.19.23.31 {{monzo| 3 3 -2 -2 -1 2 }}
|
|
|-
| 212382/212381
| 0.0081515
| (2×3<sup>5</sup>×19×23)/(13×17×31<sup>2</sup>)
| 2.3.13.17.19.23.31 {{monzo| 1 5 -1 -1 1 1 -2 }}
|
|
|-
| 227448/227447
| 0.0076116
| (2<sup>3</sup>×3<sup>7</sup>×13)/(11×23×29×31)
| 2.3.11.13.23.29.31 {{monzo| 3 7 -1 1 -1 -1 -1 }}
|
|
|-
| 240065/240064
| 0.0072115
| (5×7×19<sup>3</sup>)/(2<sup>6</sup>×11<sup>2</sup>×31)
| 2.5.7.11.19.31 {{monzo| -6 1 1 -2 3 -1 }}
|
|
|-
| 245025/245024
| 0.0070656
| (3<sup>2</sup>×5×11)<sup>2</sup>/(2<sup>5</sup>×13×19×31)
| 2.3.5.11.13.19.31 {{monzo| -5 4 2 2 -1 -1 -1 }}
|
| S495
|-
| 260338/260337
| 0.0066500
| (2×13×17×19×31)/(3×7<sup>3</sup>×11×23)
| 2.3.7.11.13.17.19.23.31 {{monzo| 1 -1 -3 -1 1 1 1 -1 1 }}
|
|
|-
| 268801/268800
| 0.0064406
| (13×23×29×31)/(2<sup>9</sup>×3×5<sup>2</sup>×7)
| 2.3.5.7.13.23.29.31 {{monzo| -9 -1 -2 -1 1 1 1 1 }}
|
|
|-
| 278784/278783
| 0.0062010
| (2<sup>4</sup>×3×11)<sup>2</sup>/(17×23<sup>2</sup>×31)
| 2.3.11.17.23.31 {{monzo| 8 2 2 -1 -2 -1 }}
|
| S528
|-
| 288145/288144
| 0.0060082
| (5×11×13<sup>2</sup>×31)/(2<sup>4</sup>×3×<sup>3</sup>×23×29)
| 2.3.5.11.13.23.29.31 {{monzo| -4 -3 1 1 2 -1 -1 1 }}
|
|
|-
| 314433/314432
| 0.0055059
| ((3×7)<sup>2</sup>×23×31)/(2<sup>2</sup>×17)<sup>3</sup>
| 2.3.7.17.23.31 {{monzo| -6 2 2 -3 1 1 }}
|
|
|-
| 453376/453375
| 0.0038185
| (2<sup>8</sup>×7×11×23)/(3<sup>2</sup>×5<sup>3</sup>×13×31)
| 2.3.5.7.11.13.23.31 {{monzo| 8 -2 -3 1 1 -1 1 -1 }}
|
|
|-
| 459173/459172
| 0.0037703
| (11×13<sup>3</sup>×19)/(2<sup>2</sup>×7×23<sup>2</sup>×31)
| 2.7.11.13.19.23.31 {{monzo| -2 -1 1 3 1 -2 -1 }}
|
|
|-
| 509796/509795
| 0.0033959
| (2×3×7×17)<sup>2</sup>/(5×11×13×23×31)
| 2.3.5.7.11.13.17.23.31 {{monzo| 2 2 -1 2 -1 -1 2 -1 -1 }}
|
| S714
|-
| 773605/773604
| 0.0022379
| (5×7×23×31<sup>2</sup>)/(2<sup>2</sup>×3<sup>3</sup>×13×19×29)
| 2.3.5.7.13.19.23.29.31 {{monzo| -2 -3 1 1 -1 -1 1 -1 2 }}
|
|
|-
| 863940/863939
| 0.0020039
| (2<sup>2</sup>×3×5×7×11<sup>2</sup>×17)/(29×31<sup>3</sup>)
| 2.3.5.7.11.17.29.31 {{monzo| 2 1 1 1 2 1 -1 -3 }}
|
|
|-
| 912951/912950
| 0.0018963
| (3<sup>5</sup>×13×17<sup>2</sup>)/(2×5<sup>2</sup>×19×31<sup>2</sup>)
| 2.3.5.13.17.19.31 {{monzo| -1 5 -2 1 2 -1 -2 }}
|
|
|-
| 1147125/1147124
| 0.0015092
| (3×5<sup>3</sup>×7×19×23)/(2<sup>2</sup>×11×29<sup>2</sup>×31)
| 2.3.5.7.11.19.23.29.31 {{monzo| -2 1 3 1 -1 1 1 -2 -1 }}
|
|
|-
| 1154440/1154439
| 0.0014996
| (2<sup>3</sup>×5×7<sup>2</sup>×19×31)/(3<sup>3</sup>×11×13<sup>2</sup>×23)
| 2.3.5.7.11.13.19.23.31 {{monzo| 3 -3 1 2 -1 -2 1 -1 1 }}
|
|
|-
| 1255501/1255500
| 0.0013789
| (13<sup>2</sup>×17×19×23)/(2<sup>2</sup>×3<sup>4</sup>×5<sup>3</sup>×31)
| 2.3.5.13.17.19.23.31 {{monzo| -2 -4 -3 2 1 1 1 -1 }}
|
|
|-
| 1594176/1594175
| 0.0010860
| (2<sup>6</sup>×3×19<sup>2</sup>×23)/((5×11)<sup>2</sup>×17×31)
| 2.3.5.11.17.19.23.31 {{monzo| 6 1 -2 -2 -1 2 1 -1 }}
|
|
|-
| 2307361/2307360
| 0.00075031
| (7<sup>2</sup>×31)<sup>2</sup>/(2<sup>5</sup>×3×5×11×19×23)
| 2.3.5.7.11.19.23.31 {{monzo| -5 -1 -1 4 -1 -1 -1 2 }}
|
| S1519
|-
| 2310400/2310399
| 0.00074932
| ((2<sup>4</sup>×5×19)/(3×7×13))<sup>2</sup>/31
| 2.3.5.7.13.19.31 {{monzo| 8 -2 2 -2 -2 2 -1 }}
|
| S1520
|-
| 2345057/2345056
| 0.00073825
| (11×13×23<sup>2</sup>×31)/(2<sup>5</sup>×7×19<sup>2</sup>×29)
| 2.7.11.13.19.23.29.31 {{monzo| -5 -1 1 1 -2 2 -1 1 }}
|
|
|-
| 3206269/3206268
| 0.00053995
| (11×19×23<sup>2</sup>×29)/((2×3×13)<sup>2</sup>×17×31)
| 2.3.11.13.17.19.23.29.31 {{monzo| -2 -2 1 -2 -1 1 2 1 -1 }}
|
|
|-
| 3301376/3301375
| 0.00052440
| (2<sup>13</sup>×13×31)/(5<sup>3</sup>×7<sup>4</sup>×11)
| 2.5.7.11.13.31 {{monzo| 13 -3 -4 -1 1 1 }}
|
|
|-
| 3346110/3346109
| 0.00051739
| (2×3<sup>9</sup>×5×17)/(13×19<sup>2</sup>×23×31)
| 2.3.5.13.17.19.23.31 {{monzo| 1 9 1 -1 1 -2 -1 -1 }}
|
|
|-
| 3897166/3897165
| 0.00044423
| (2×7<sup>3</sup>×13×19×23)/(3×5×17<sup>2</sup>×29×31)
| 2.3.5.7.13.17.19.23.29.31 {{monzo| 1 -1 -1 3 1 -2 1 1 -1 -1 }}
|
|
|-
| <font style="font-size:0.88em">14753025/14753024</font>
| 0.00011735
| ((3×5)<sup>2</sup>×7×17×19×29)/(2<sup>8</sup>×11×13<sup>2</sup>×31)
| 2.3.5.7.11.13.17.19.29.31 {{monzo| -8 2 2 1 -1 -2 1 1 1 -1 }}
|
|
|-
| <font style="font-size:0.88em">16093000/16092999</font>
| 0.00010758
| ((2×5)<sup>3</sup>×7×11<sup>2</sup>×19)/(3<sup>4</sup>×13×17×29×31)
| 2.3.5.7.11.13.17.19.29.31 {{monzo| 3 -4 3 1 2 -1 -1 1 -1 -1 }}
|
|  
|-
| <font style="font-size:0.88em">76271625/76271624</font>
| 2.2698×10<sup>-5</sup>
| (3<sup>9</sup>×5<sup>3</sup>×31)/((2×11)<sup>3</sup>×13×19×29)
| 2.3.5.11.13.19.29.31 {{monzo| -3 9 3 -3 -1 -1 -1 1 }}
|
|
|-
| <font style="font-size:0.88em">80061345/80061344</font>
| 2.1624×10<sup>-5</sup>
| (3<sup>3</sup>×5×7<sup>4</sup>×13×19)/(2<sup>5</sup>×11<sup>2</sup>×23×29×31)
| 2.3.5.7.11.13.19.23.29.31 {{monzo| -5 3 1 4 -2 1 1 -1 -1 -1 }}
|
|
|-
| <font style="font-size:0.79em">133920000/133919999</font>
| 1.2927×10<sup>-5</sup>
| (2<sup>8</sup>×3<sup>3</sup>×5<sup>4</sup>×31)/(17<sup>2</sup>×19×29<sup>3</sup>)
| 2.3.5.17.19.29.31 {{monzo| 8 3 4 -2 -1 -3 1 }}
|
|
|-
| <font style="font-size:0.79em">181037025/181037024</font>
| 9.5629×10<sup>-6</sup>
| (3<sup>2</sup>×5×13×23)<sup>2</sup>/(2<sup>5</sup>×7×(29×31)<sup>2</sup>)
| 2.3.5.7.13.23.29.31 {{monzo| -5 4 2 -1 2 2 -2 -2 }}
|
| S13455
|-
| <font style="font-size:0.79em">370256250/370256249</font>
| 4.6758×10<sup>-6</sup>
| (2×3×5<sup>5</sup>×7<sup>2</sup>×13×31)/(11<sup>7</sup>×19)
| 2.3.5.7.11.13.19.31 {{monzo| 1 1 5 2 -7 1 -1 1 }}
|
|
|-
| <font style="font-size:0.72em">1611308700/1611308699</font>
| 1.0744×10<sup>-6</sup>
| ((2×3<sup>3</sup>×5×31)/(7<sup>2</sup>×13×19))<sup>2</sup>×(23/11)
| 2.3.5.7.11.13.19.23.31 {{monzo| 2 6 2 -4 -1 -2 -2 1 2 }}
|
|
|}


=== 37-limit ===
=== 37-limit ===
{| class="wikitable center-6" style="width:100%"
{{Main|List of superparticular intervals/37-limit}}
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[37/36]]
| 47.434
| 37/(2×3)<sup>2</sup>
| 2.3.37 {{monzo| -2 -2 1 }}
| Large tricesimoseptimal 1/4-tone, 37th-partial chroma
|
|-
| [[38/37]]
| 46.169
| (2×19)/37
| 2.19.37 {{monzo| 1 1 -1 }}
| Small tricesimoseptimal 1/4-tone
|
|-
| [[75/74]]
| 23.238
| (3×5<sup>2</sup>)/(2×37)
| 2.3.5.37 {{monzo| -1 1 2 -1 }}
|
|
|-
| [[111/110]]
| 15.667
| (3×37)/(2×5×11)
| 2.3.5.11.37 {{monzo| -1 1 -1 -1 1 }}
|
|
|-
| [[112/111]]
| 15.527
| (2<sup>4</sup>×7)/(3×37)
| 2.3.7.37 {{monzo| 4 -1 1 -1 }}
|
|
|-
| [[148/147]]
| 11.737
| (2<sup>2</sup>×37)/(3×7<sup>2</sup>)
| 2.3.7.37 {{monzo| 2 -1 -2 1 }}
|
|
|-
| [[185/184]]
| 9.3834
| (5×37)/(2<sup>3</sup>×23)
| 2.5.23.37 {{monzo| -3 1 -1 1 }}
|
|
|-
| [[186/185]]
| 9.3328
| (2×3×31)/(5×37)
| 2.3.5.31.37 {{monzo| 1 1 -1 1 -1 }}
|
|
|-
| [[222/221]]
| 7.8160
| (2×3×37)/(13×17)
| 2.3.13.17.37 {{monzo| 1 1 -1 -1 1 }}
|
|
|-
| [[260/259]]
| 6.6714
| (2<sup>2</sup>×5×13)/(7×37)
| 2.5.7.13.37 {{monzo| 2 1 -1 1 -1 }}
|
|
|-
| [[297/296]]
| 5.8389
| (3<sup>3</sup>×11)/(2<sup>3</sup>×37)
| 2.3.11.37 {{monzo| -3 3 1 -1 }}
|
|
|-
| [[407/406]]
| 4.2589
| (11×37)/(2×7×29)
| 2.7.11.29.37 {{monzo| -1 -1 1 -1 1 }}
|
|
|-
| [[408/407]]
| 4.2484
| (2<sup>3</sup>×3×17)/(11×37)
| 2.3.11.17.37 {{monzo| 3 1 -1 1 -1 }}
|
|
|-
| [[481/480]]
| 3.6030
| (13×37)/(2<sup>5</sup>×3×5)
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 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 }}
|
|
|-
| [[666/665]]
| 2.6014
| (2×3<sup>2</sup>×37)/(5×7×19)
| 2.3.5.7.19.37 {{monzo| 1 2 -1 -1 -1 1 }}
| Beastisma
|
|-
| [[667/666]]
| 2.5975
| (23×29)/(2×3<sup>2</sup>×37)
| 2.3.23.29.37 {{monzo| -1 -2 1 1 -1 }}
| Denisisma
|
|-
| [[703/702]]
| 2.4644
| (19×37)/(2×3<sup>3</sup>×13)
| 2.3.13.19.37 {{monzo| -1 -3 -1 1 1 }}
| Noemisma
|
|-
| [[704/703]]
| 2.4609
| (2<sup>6</sup>×11)/(19×37)
| 2.11.19.37 {{monzo| 6 1 -1 -1 }}
| Minimyna
|
|-
| [[741/740]]
| 2.3379
| (3×13×19)/(2<sup>2</sup>×5×37)
| 2.3.5.13.19.37 {{monzo| -2 1 -1 1 1 -1 }}
| Botolphisma
|
|-
| [[851/850]]
| 2.0355
| (23×37)/(2×5<sup>2</sup>×17)
| 2.5.17.23.37 {{monzo| -1 -2 -1 1 1 }}
| Zeissisma
|
|-
| [[925/924]]
| 1.8726
| (5<sup>2</sup>×37)/(2<sup>2</sup>×3×7×11)
| 2.3.5.7.11.37 {{monzo| -2 -1 2 -1 -1 1 }}
| 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 }}
|
|
|-
| [[1036/1035]]
| 1.6719
| (2<sup>2</sup>×7×37)/(3<sup>2</sup>×5×23)
| 2.3.5.7.23.37 {{monzo| 2 -2 -1 1 -1 1 }}
| Ganymedisma
|
|-
| [[1184/1183]]
| 1.4628
| (2<sup>5</sup>×37)/(7×13<sup>2</sup>)
| 2.7.13.37 {{monzo| 5 -1 -2 1 }}
| Gaeisma
|
|-
| [[1296/1295]]
| 1.3363
| (2×3)<sup>4</sup>/(5×7×37)
| 2.3.5.7.37 {{monzo| 4 4 -1 -1 -1 }}
|
| S36
|-
| [[1332/1331]]
| 1.3002
| ((2×3)<sup>2</sup>×37)/11<sup>3</sup>
| 2.3.11.37 {{monzo| 2 2 -3 1 }}
| Marconisma
|
|-
| [[1369/1368]]
| 1.2651
| 37<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×19)
| 2.3.19.37 {{monzo| -3 -2 -1 2 }}
|
| S37
|-
| [[1444/1443]]
| 1.1993
| (2×19)<sup>2</sup>/(3×13×37)
| 2.3.13.19.37 {{monzo| 2 -1 -1 2 -1 }}
|
| S38
|-
| [[1480/1479]]
| 1.1701
| (2<sup>3</sup>×5×37)/(3×17×29)
| 2.3.5.17.29.37 {{monzo| 3 -1 1 -1 -1 1 }}
| Aunusisma
|
|-
| [[1665/1664]]
| 1.0401
| (3<sup>2</sup>×5×37)/(2<sup>7</sup>×13)
| 2.3.5.13.37 {{monzo| -7 2 1 -1 1 }}
| Gabisma
|
|-
| [[1666/1665]]
| 1.0395
| (2×7<sup>2</sup>×17)/(3<sup>2</sup>×5×37)
| 2.3.5.7.17.37 {{monzo| 1 -2 -1 2 1 -1 }}
| Gentisma
|
|-
| [[1702/1701]]
| 1.0175
| (2×23×37)/(3<sup>5</sup>×7)
| 2.3.7.23.37 {{monzo| 1 -5 -1 1 1}}
| Kalaharisma
|
|-
| [[1925/1924]]
| 0.89958
| (5<sup>2</sup>×7×11)/(2<sup>2</sup>×13×37)
| 2.5.7.11.13.37 {{monzo| -2 2 1 1 -1 -1 }}
| Misericorde
|
|-
| [[2109/2108]]
| 0.82107
| (3×19×37)/(2<sup>2</sup>×17×31)
| 2.3.17.19.31.37 {{monzo| -2 1 -1 1 -1 1 }}
| Dhotelisma
|
|-
| [[2146/2145]]
| 0.80691
| (2×29×37)/(3×5×11×13)
| 2.3.5.11.13.29.37 {{monzo| 1 -1 -1 -1 -1 1 1 }}
| 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 }}
|
|
|-
| [[2553/2552]]
| 0.67825
| (3×23×37)/(2<sup>3</sup>×11×29)
| 2.3.11.23.29.37 {{monzo| -3 1 -1 1 -1 1 }}
| Viljevisma
|
|-
| [[2738/2737]]
| 0.63241
| (2×37<sup>2</sup>)/(7×17×23)
| 2.7.17.23.37 {{monzo| 1 -1 -1 -1 2 }}
|
|
|-
| [[2850/2849]]
| 0.60756
| (2×3×5<sup>2</sup>×19)/(7×11×37)
| 2.3.5.7.11.19.37 {{monzo| 1 1 2 -1 -1 1 -1 }}
| 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 }}
| Datonisma
|
|-
| [[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 }}
| Murayamisma
|
|-
| [[3256/3255]]
| 0.53179
| (2<sup>3</sup>×11×37)/(3×5×7×31)
| 2.3.5.7.11.31.37 {{monzo| 3 -1 -1 -1 1 -1 1 }}
| Daguerrisma
|
|-
| [[3367/3366]]
| 0.51425
| (7×13×37)/(2×3<sup>2</sup>×11×17)
| 2.3.7.11.13.17.37 {{monzo| -1 -2 1 -1 1 -1 1 }}
| Alexisma
|
|-
| [[3553/3552]]
| 0.48733
| (11×17×19)/(2<sup>5</sup>×3×37)
| 2.3.11.17.19.37 {{monzo| -5 -1 1 1 1 -1 }}
| Meranisma
|
|-
| [[3626/3625]]
| 0.47752
| (2×7<sup>2</sup>×37)/(5<sup>3</sup>×29)
| 2.5.7.29.37 {{monzo| 1 -3 2 -1 1 }}
| 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 }}
| Sayersisma
|
|-
| [[3774/3773]]
| 0.45879
| (2×3×17×37)/(7<sup>3</sup>×11)
| 2.3.7.11.17.37 {{monzo| 1 1 -3 -1 1 1 }}
| 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 }}
|
|
|-
| [[4625/4624]]
| 0.37436
| (5<sup>3</sup>×37)/(2<sup>4</sup>×17<sup>2</sup>)
| 2.5.17.37 {{monzo| -4 3 -2 1 }}
| 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 }}
|
|
|-
| [[5292/5291]]
| 0.32717
| (2<sup>2</sup>×3<sup>3</sup>×7<sup>2</sup>)/(11×13×37)
| 2.3.7.11.13.37 {{monzo| 2 3 2 -1 -1 -1 }}
| Bullionisma
|
|-
| [[5440/5439]]
| 0.31827
| (2<sup>6</sup>×5×17)/(3×7<sup>2</sup>×37)
| 2.3.5.7.17.37 {{monzo| 6 -1 1 -2 1 -1 }}
| 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 }}
|
|
|-
| [[7105/7104]]
| 0.24368
| (5×7<sup>2</sup>×29)/(2<sup>6</sup>×3×37)
| 2.3.5.7.29.37 {{monzo| -6 -1 1 2 1 -1 }}
| Yousyozanisma
|
|-
| [[7696/7695]]
| 0.22497
| (2<sup>4</sup>×13×37)/(3<sup>4</sup>×5×19)
| 2.3.5.13.19.37 {{monzo| 4 -4 -1 1 -1 1 }}
| Liebisma
|
|-
| [[8991/8990]]
| 0.19256
| (3<sup>5</sup>×37)/(2×5×29×31)
| 2.3.5.29.31.37 {{monzo| -1 5 -1 -1 -1 1 }}
| Solidaritisma, solidarity comma
|
|-
| [[9177/9176]]
| 0.18866
| (3×7×19×23)/(2<sup>3</sup>×31×37)
| 2.3.7.19.23.31.37 {{monzo| -3 1 1 1 1 -1 -1 }}
| 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 }}
| Harchisma
|
|-
| [[9361/9360]]
| 0.18495
| (11×23×37)/(2<sup>4</sup>×3<sup>2</sup>×5×13)
| 2.3.5.11.13.23.37 {{monzo| -4 -2 -1 1 -1 1 1 }}
| Friesachisma
|
|-
| [[Zangarisma|10693/10692]]
| 0.16191
| (17<sup>2</sup>×37)/(2<sup>2</sup>×3<sup>5</sup>×11)
| 2.3.11.17.37 {{monzo| -2 -5 -1 2 1 }}
| Zangarisma
|
|-
| [[Sinachopoulosisma|11914/11913]]
| 0.14532
| (2×7×23×37)/(3×11×19<sup>2</sup>)
| 2.3.7.11.19.23.37 {{monzo| 1 -1 1 -1 -2 1 1 }}
| Sinachopoulosisma
|
|-
| [[12321/12320]]
| 0.14052
| (3<sup>2</sup>×37<sup>2</sup>)/(2<sup>5</sup>×5×7×11)
| 2.3.5.7.11.37 {{monzo| -5 2 -1 -1 -1 2 }}
| Zurakowskisma
| 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 }}
| Lesleymartin comma
|
|-
| 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 }}
|
|
|-
| [[Genzelisma|18241/18240]]
| 0.094912
| (17×29×37)/(2<sup>6</sup>×3×5×19)
| 2.3.5.17.19.29.37 {{monzo| -6 -1 -1 1 -1 1 1 }}
| 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 }}
|
|
|-
| 20350/20349
| 0.085075
| (2×5<sup>2</sup>×11×37)/(3<sup>2</sup>×7×17×19)
| 2.3.5.7.11.17.19.37 {{monzo| 1 -2 2 -1 1 -1 -1 1 }}
|
|
|-
| 23200/23199
| 0.074624
| (2<sup>5</sup>×5<sup>2</sup>×29)/(3×11×19×37)
| 2.3.5.11.19.29.37 {{monzo| 5 -1 2 -1 -1 1 -1 }}
|
|
|-
| 26011/26010
| 0.066559
| (19×37<sup>2</sup>)/(2×3<sup>2</sup>×5×17<sup>2</sup>)
| 2.3.5.17.19.37 {{monzo| -1 -2 -1 -2 1 2 }}
|
|
|-
| 28750/28749
| 0.060218
| (2×5<sup>4</sup>×23)/(3×7×37<sup>2</sup>)
| 2.3.5.7.23.37 {{monzo| 1 -1 4 -1 1 -2 }}
|
|
|-
| 28861/28860
| 0.059986
| (7<sup>2</sup>×19×31)/(2<sup>2</sup>×3×5×13×37)
| 2.3.5.7.13.19.31.37 {{monzo| -2 -1 -1 2 -1 1 1 -1 }}
|
|
|-
| 29601/29600
| 0.058487
| (3<sup>2</sup>×11×13×23)/(2<sup>5</sup>×5<sup>2</sup>×37)
| 2.3.5.11.13.23.37 {{monzo| -5 2 -2 1 1 1 -1 }}
|
|
|-
| [[33264/33263]]
| 0.052046
| (2<sup>4</sup>×3<sup>3</sup>×7×11)/(29×31×37)
| 2.3.7.11.29.31.37 {{monzo| 4 3 1 1 -1 -1 -1 }}
| Maryrogersisma
|
|-
| 34225/34224
| 0.050585
| (5×37)<sup>2</sup>/(2<sup>4</sup>×3×23×31)
| 2.3.5.23.31.37 {{monzo| -4 -1 2 -1 -1 2 }}
|
| S185
|-
| 34596/34595
| 0.050042
| (2×3×31)<sup>2</sup>/(5×11×17×37)
| 2.3.5.11.17.31.37 {{monzo| 2 2 -1 -1 -1 2 -1 }}
|
| S186
|-
| 35816/35815
| 0.048338
| (2<sup>3</sup>×11<sup>2</sup>×37)/(5×13×19×29)
| 2.5.11.13.19.29.37 {{monzo| 3 -1 2 -1 -1 -1 1 }}
|
|
|-
| 37962/37961
| 0.045605
| (2×3<sup>3</sup>×19×37)/(7×11×17×29)
| 2.3.7.11.17.19.29.37 {{monzo| 1 3 -1 -1 -1 1 -1 1 }}
|
|
|-
| 38962/38961
| 0.044434
| (2×7×11<sup>2</sup>×23)/(3<sup>4</sup>×13×37)
| 2.3.7.11.13.23.37 {{monzo| 1 -4 1 2 -1 1 -1 }}
|
|
|-
| 41515/41514
| 0.041702
| (5×19<sup>2</sup>×23)/(2×3×11×17×37)
| 2.3.5.11.17.19.23.37 {{monzo| -1 -1 1 -1 -1 2 1 -1 }}
|
|
|-
| 42625/42624
| 0.040616
| (5<sup>3</sup>×11×31)/(2<sup>7</sup>×3<sup>2</sup>×37)
| 2.3.5.11.31.37 {{monzo| -7 -2 3 1 1 -1 }}
|
|
|-
| 43401/43400
| 0.039890
| (3×17×23×37)/(2<sup>3</sup>×5<sup>2</sup>×7×31)
| 2.3.5.7.17.23.31.37 {{monzo| -3 1 -2 -1 1 1 -1 1 }}
|
|
|-
| 44955/44954
| 0.038511
| (3<sup>5</sup>×5×37)/(2×7×13<sup>2</sup>×19)
| 2.3.5.7.13.19.37 {{monzo| -1 5 1 -1 -2 -1 1 }}
|
|
|-
| 45696/45695
| 0.037886
| (2<sup>7</sup>×3×7×17)/(5×13×19×37)
| 2.3.5.7.13.17.19.37 {{monzo| 7 1 -1 1 -1 1 -1 -1 }}
|
|
|-
| 47916/47915
| 0.036131
| ((2×3)<sup>2</sup>×11<sup>3</sup>)/(5×7×37<sup>2</sup>)
| 2.3.5.7.11.37 {{monzo| 2 2 -1 -1 3 -2 }}
|
|
|-
| 48841/48840
| 0.035447
| (13×17)<sup>2</sup>/(2<sup>3</sup>×3×5×11×37)
| 2.3.5.11.13.17.37 {{monzo| -3 -1 -1 -1 2 2 -1 }}
|
| S221
|-
| 49248/49247
| 0.035154
| (2<sup>5</sup>×3<sup>4</sup>×19)/(11<sup>3</sup>×37)
| 2.3.11.19.37 {{monzo| 5 4 -3 1 -1 }}
|
|
|-
| 50025/50024
| 0.034608
| (3×5<sup>2</sup>×23×29)/(2<sup>3</sup>×13<sup>2</sup>×37)
| 2.3.5.13.23.29.37 {{monzo| -3 1 2 -2 1 1 -1 }}
|
|
|-
| 55056/55055
| 0.031445
| (2<sup>4</sup>×3×31×37)/(5×7×11<sup>2</sup>×13)
| 2.3.5.7.11.13.31.37 {{monzo| 4 1 -1 -1 -2 -1 1 1 }}
|
|
|-
| 56203/56202
| 0.030804
| (7<sup>2</sup>×31×37)/(2×3×17×19×29)
| 2.3.7.17.19.29.31.37 {{monzo| -1 -1 2 -1 -1 -1 1 1 }}
|
|
|-
| 60606/60605
| 0.028566
| (2×3<sup>2</sup>×7×13×37)/(5×17×23×31)
| 2.3.5.7.13.17.23.31.37 {{monzo| 1 2 -1 1 1 -1 -1 -1 1 }}
|
|
|-
| 67600/67599
| 0.025610
| (2<sup>2</sup>×5×13)<sup>2</sup>/(3<sup>2</sup>×7×29×37)
| 2.3.5.7.13.29.37 {{monzo| 4 -2 2 -1 2 -1 -1 }}
|
| S260
|-
| 68783/68782
| 0.025170
| (11×13<sup>2</sup>×37)/(2×7×17<sup>3</sup>)
| 2.7.11.13.17.37 {{monzo| -1 -1 1 2 -3 1 }}
|
|
|-
| 71485/71484
| 0.024218
| (5×17×29<sup>2</sup>)/(2<sup>2</sup>×3×7×23×37)
| 2.3.5.7.17.23.29.37 {{monzo| -2 -1 1 -1 1 -1 2 -1 }}
|
|
|-
| [[Jouvisma|77441/77440]]
| 0.022356
| (7×13×23×37)/(2<sup>7</sup>×5×11<sup>2</sup>)
| 2.5.7.11.13.23.37 {{monzo| -7 -1 1 -2 1 1 1 }}
| Jouvisma
|
|-
| 78625/78624
| 0.022019
| (5<sup>3</sup>×17×37)/(2<sup>5</sup>×3<sup>3</sup>×7×13)
| 2.3.5.7.13.17.37 {{monzo| -5 -3 3 -1 -1 1 1 }}
|
|
|-
| 80920/80919
| 0.021395
| (2<sup>3</sup>×5×7×17<sup>2</sup>)/(3<sup>7</sup>×37)
| 2.3.5.7.17.37 {{monzo| 3 -7 1 1 2 -1 }}
|
|
|-
| 82621/82620
| 0.020954
| (7×11×29×37)/(2<sup>2</sup>×3<sup>5</sup>×5×17)
| 2.3.5.7.11.17.29.37 {{monzo| -2 -5 -1 1 1 -1 1 1 }}
|
|
|-
| 85064/85063
| 0.020352
| ((2×7)<sup>3</sup>×31)/(11<sup>2</sup>×19×37)
| 2.7.11.19.31.37 {{monzo| 3 3 -2 -1 1 -1 }}
|
|
|-
| 88320/88319
| 0.019602
| (2<sup>8</sup>×3×5×23)/(7×11×31×37)
| 2.3.5.7.11.23.31.37 {{monzo| 8 1 1 -1 -1 1 -1 -1 }}
|
|
|-
| 93093/93092
| 0.018597
| (3×7×11×13×31)/(2<sup>2</sup>×17×37<sup>2</sup>)
| 2.3.7.11.13.17.31.37 {{monzo| -2 1 1 1 1 -1 1 -2 }}
|
|
|-
| [[93500/93499]]
| 0.018516
| (2<sup>2</sup>×5<sup>3</sup>×11×17)/(7×19<sup>2</sup>×37)
| 2.5.7.11.17.19.37 {{monzo| 2 3 -1 1 1 -2 -1 }}
| Pantinisma
|
|-
| 108780/108779
| 0.015915
| (2<sup>2</sup>×3×5×7<sup>2</sup>×37)/(11<sup>2</sup>×29×31)
| 2.3.5.7.11.29.31.37 {{monzo| 2 1 1 2 -2 -1 -1 1 }}
|
|
|-
| 108928/108927
| 0.015893
| (2<sup>7</sup>×23×37)/((3×7)<sup>2</sup>×13×19)
| 2.3.7.13.19.23.37 {{monzo| 7 -2 -2 -1 -1 1 1 }}
|
|
|-
| 117624/117623
| 0.014718
| (2<sup>3</sup>×3×13<sup>2</sup>×29)/(11×17<sup>2</sup>×37)
| 2.3.11.13.17.29.37 {{monzo| 3 1 -1 2 -2 1 -1 }}
|
|
|-
| 120176/120175
| 0.014406
| (2<sup>4</sup>×7×29×37)/(5<sup>2</sup>×11×19×23)
| 2.5.7.11.19.23.29.37 {{monzo| 4 -1 1 -1 -1 -1 1 1 }}
|
|
|-
| 143375/143374
| 0.012075
| (5<sup>3</sup>×31×37)/(2×7<sup>3</sup>×11×19)
| 2.5.7.11.19.31.37 {{monzo| -1 3 -3 -1 -1 1 1 }}
|
|
|-
| 155585/155584
| 0.011127
| (5×29<sup>2</sup>×37)/(2<sup>6</sup>×11×13×17)
| 2.5.11.13.17.29.37 {{monzo| -6 1 -1 -1 -1 2 1 }}
|
|
|-
| 156066/156065
| 0.011093
| (2×3×19×37<sup>2</sup>)/(5×7<sup>4</sup>×13)
| 2.3.5.7.13.19.37 {{monzo| 1 1 -1 -4 -1 1 2 }}
|
|
|-
| 161875/161874
| 0.010695
| (5<sup>4</sup>×7×37)/(2×3<sup>2</sup>×17×23<sup>2</sup>)
| 2.3.5.7.17.23.37 {{monzo| -1 -2 4 1 -1 -2 1 }}
|
|
|-
| 164836/164835
| 0.010503
| (2×7×29)<sup>2</sup>/(3<sup>4</sup>×5×11×37)
| 2.3.5.7.11.29.37 {{monzo| 2 -4 -1 2 -1 2 -1 }}
|
| S406
|-
| 165649/165648
| 0.010451
| (11×37)<sup>2</sup>/(2<sup>4</sup>×3×7×17×29)
| 2.3.7.11.17.29.37 {{monzo| -4 -1 -1 2 -1 -1 2 }}
|
| S407
|-
| 198912/198911
| 0.0087035
| (2<sup>8</sup>×3×7×37)/(19<sup>3</sup>×29)
| 2.3.7.19.29.37 {{monzo| 8 1 1 -3 -1 1 }}
|
|
|-
| 208495/208494
| 0.0083035
| (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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 443556/443555
| 0.0039031
| (2×3<sup>2</sup>×37)<sup>2</sup>/(5×7×19×23×29)
| 2.3.5.7.19.23.29.37 {{monzo| 2 4 -1 -1 -1 -1 -1 2 }}
|
| S666
|-
| 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 }}
|
|
|-
| 466830/466829
| 0.0037085
| (2×3<sup>3</sup>×5×7×13×19)/(11×31×37<sup>2</sup>)
| 2.3.5.7.11.13.19.31.37 {{monzo| 1 3 1 1 -1 1 1 -1 -2 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
|
|-
| 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 }}
|
| 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 }}
|
|
|-
| 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 }}
|
| S1000
|-
| 1055241/1055240
| 0.0016406
| (3<sup>3</sup>×11<sup>2</sup>×17×19)/(2<sup>3</sup>×5×23×31×37)
| 2.3.5.11.17.19.23.31.37 {{monzo| -3 3 -1 2 1 1 -1 -1 -1 }}
|
|
|-
| 1341250/1341249
| 0.0012908
| (2×5<sup>4</sup>×29×37)/(3×7×13×17<sup>3</sup>)
| 2.3.5.7.13.17.29.37 {{monzo| 1 -1 4 -1 -1 -3 1 1 }}
|
|
|-
| 1510785/1510784
| 0.0011459
| (3<sup>3</sup>×5×19<sup>2</sup>×31)/(2<sup>7</sup>×11×29×37)
| 2.3.5.11.19.29.31.37 {{monzo| -7 3 1 -1 2 -1 1 -1 }}
|
|
|-
| 1763125/1763124
| 0.00098191
| (5<sup>4</sup>×7×13×31)/(2<sup>2</sup>×3×11×19<sup>2</sup>×37)
| 2.3.5.7.11.13.19.31.37 {{monzo| -2 -1 4 1 -1 1 -2 1 -1 }}
|
|
|-
| 1771561/1771560
| 0.00097724
| 11<sup>6</sup>/(2<sup>3</sup>×3<sup>2</sup>×5×7×19×37)
| 2.3.5.7.11.19.37 {{monzo| -3 -2 -1 -1 6 -1 -1 }}
|
| S1331
|-
| 2085136/2085135
| 0.00083027
| (2×19)<sup>4</sup>/(3×5×13×17<sup>2</sup>×37)
| 2.3.5.13.17.19.37 {{monzo| 4 -1 -1 -1 -2 4 -1 }}
|
| S1444
|-
| 2417876/2417875
| 0.00071601
| (2<sup>2</sup>×17×31<sup>2</sup>×37)/(5<sup>3</sup>×23×29<sup>2</sup>)
| 2.5.17.23.29.31.37 {{monzo| 2 -3 1 -1 -2 2 1 }}
|
|
|-
| 2560845/2560844
| 0.00067604
| (3×5×7×29<sup>3</sup>)/(2<sup>2</sup>×11<sup>3</sup>×13×37)
| 2.3.5.7.11.13.29.37 {{monzo| -2 1 1 1 -3 -1 3 -1 }}
|
|
|-
| 2598400/2598399
| 0.00066627
| (2<sup>9</sup>×5<sup>2</sup>×7×29)/(3<sup>5</sup>×17<sup>2</sup>×37)
| 2.3.5.7.17.29.37 {{monzo| 9 -5 2 1 -2 1 -1 }}
|
|
|-
| 2772225/2772224
| 0.00062449
| (3<sup>2</sup>×5×37)<sup>2</sup>/(2<sup>8</sup>×7<sup>2</sup>×13×17)
| 2.3.5.7.13.17.37 {{monzo| -8 4 2 -2 -1 -1 2 }}
|
| S1665
|-
| 2893401/2893400
| 0.00059834
| (3<sup>5</sup>×7)<sup>2</sup>/(2<sup>3</sup>×5<sup>2</sup>×17×23×37)
| 2.3.5.7.17.23.37 {{monzo| -3 10 -2 2 -1 -1 -1 }}
|
| S1701
|-
| 3930400/3930399
| 0.00044047
| (2<sup>5</sup>×5<sup>2</sup>×17<sup>3</sup>)/(3<sup>2</sup>×11×29×37<sup>2</sup>)
| 2.3.5.11.17.29.37 {{monzo| 5 -2 2 -1 3 -1 -2 }}
|
|
|-
| 4765600/4765599
| 0.00036328
| (2<sup>5</sup>×5<sup>2</sup>×7×23×37)/(3<sup>2</sup>×19×29×31<sup>2</sup>)
| 2.3.5.7.19.23.29.31.37 {{monzo| 5 -2 2 1 -1 1 -1 -2 1 }}
|
|
|-
| 5538975/5538974
| 0.00031255
| (3×(5×13)<sup>2</sup>×19×23)/(2×7×(17×37)<sup>2</sup>)
| 2.3.5.7.13.17.19.23.37 {{monzo| -1 1 2 -1 2 -2 1 1 -2 }}
|
|
|-
| 6615675/6615674
| 0.00026169
| (3<sup>7</sup>×(5×11)<sup>2</sup>)/(2×(13×23)<sup>2</sup>×37)
| 2.3.5.11.13.23.37 {{monzo| -1 7 2 2 -2 -2 -1 }}
|
|
|-
| 6770556/6770555
| 0.00025570
| ((2×3)<sup>2</sup>×13×17×23×37)/(5×(11×19)<sup>2</sup>×31)
| 2.3.5.11.13.17.19.23.31.37 {{monzo| 2 2 -1 -2 1 1 -2 1 -1 1 }}
|
|
|-
| 7105000/7104999
| 0.00024366
| (2<sup>3</sup>×5<sup>4</sup>×7<sup>2</sup>×29)/(3×(11×23)<sup>2</sup>×37)
| 2.3.5.7.11.23.29.37 {{monzo| 3 -1 4 2 -2 -2 1 -1 }}
|
|
|-
| 7475000/7474999
| 0.00023160
| (2<sup>3</sup>×5<sup>5</sup>×13×23)/(7<sup>3</sup>×19×31×37)
| 2.5.7.13.19.23.31.37 {{monzo| 3 5 -3 1 -1 1 -1 -1 }}
|
|
|-
| 7491169/7491168
| 0.00023110
| (7×17×23)<sup>2</sup>/(2<sup>5</sup>×3<sup>2</sup>×19×37<sup>2</sup>)
| 2.3.7.17.19.23.37 {{monzo| -5 -2 2 2 -1 2 -2 }}
|
| S2737
|-
| <font style="font-size:0.88em">13147876/13147875</font>
| 0.00013167
| (2×7<sup>2</sup>×37)<sup>2</sup>/(3<sup>2</sup>×5<sup>3</sup>×13×29×31)
| 2.3.5.7.13.29.31.37 {{monzo| 2 -2 -3 4 -1 -1 -1 2 }}
|
| S3626
|-
| <font style="font-size:0.88em">14080573/14080572</font>
| 0.00012295
| (13<sup>4</sup>×17×29)/((2×3)<sup>2</sup>×11×31<sup>2</sup>×37)
| 2.3.11.13.17.29.31.37 {{monzo| -2 -2 -1 4 1 1 -2 -1 }}
|
|
|-
| <font style="font-size:0.88em">21386001/21386000</font>
| 8.0952×10<sup>-5</sup>
| (3×7<sup>2</sup>×13×19<sup>2</sup>×31)/(2<sup>4</sup>×5<sup>3</sup>×17<sup>2</sup>×37)
| 2.3.5.7.13.17.19.31.37 {{monzo| -4 1 -3 2 1 -2 2 1 -1 }}
|
|
|-
| <font style="font-size:0.88em">27994681/27994680</font>
| 6.1842×10<sup>-5</sup>
| (11×13×37)<sup>2</sup>/((2×3)<sup>3</sup>×5×(7×23)<sup>2</sup>)
| 2.3.5.7.11.13.23.37 {{monzo| -3 -3 -1 -2 2 2 -2 2 }}
|
| S5291
|-
| <font style="font-size:0.88em">50481025/50481024</font>
| 3.4295×10<sup>-5</sup>
| (5×7<sup>2</sup>×29)<sup>2</sup>/(2<sup>7</sup>×3×11×17×19×37)
| 2.3.5.7.11.17.19.29.37 {{monzo| -7 -1 2 4 -1 -1 -1 2 -1 }}
|
| S7105
|-
| <font style="font-size:0.88em">71843751/71843750</font>
| 2.4097×10<sup>-5</sup>
| (3<sup>2</sup>×7<sup>3</sup>×17×37<sup>2</sup>)/(2×5<sup>6</sup>×11<sup>2</sup>×19)
| 2.3.5.7.11.17.19.37 {{monzo| -1 2 -6 3 -2 1 -1 2 }}
|
|
|-
| <font style="font-size:0.79em">308915776/308915775</font>
| 5.6042×10<sup>-6</sup>
| (2×13)<sup>6</sup>/(3<sup>4</sup>×5<sup>2</sup>×7×19×31×37)
| 2.3.5.7.13.19.31.37 {{monzo| 6 -4 -2 -1 6 -1 -1 -1 }}
|
| S17576
|-
| <font style="font-size:0.72em">3463200000/3463199999</font>
| 4.9989×10<sup>-7</sup>
| (2<sup>8</sup>×3<sup>2</sup>×5<sup>5</sup>×13×37)/(7<sup>5</sup>×17<sup>2</sup>×23×31)
| 2.3.5.7.13.17.23.31.37 {{monzo| 8 2 5 -5 1 -2 -1 -1 1 }}
|
|
|}


=== 41-limit (incomplete) ===
=== 41-limit (incomplete) ===
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"