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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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| (2<sup>5</sup>×5×13)/(3<sup>3</sup>×7×11)
| (2<sup>5</sup>×5×13)/(3<sup>3</sup>×7×11)
| {{Monzo| 5 -3 1 -1 -1 1 }}
| {{Monzo| 5 -3 1 -1 -1 1 }}
| Ibnsinma
| Ibnsinma, sinaisma
|  
|  
|-
|-
Line 509: Line 509:
| (2<sup>6</sup>/3)<sup>2</sup>/(5×7×13)
| (2<sup>6</sup>/3)<sup>2</sup>/(5×7×13)
| {{Monzo| 12 -2 -1 -1 0 -1 }}
| {{Monzo| 12 -2 -1 -1 0 -1 }}
| Schismina, tridecimal schisma
| Minisma
| S64
| S64
|-
|-
Line 1,246: Line 1,246:
| S2431
| S2431
|-
|-
| <font style="font-size:0.88em">11859211/11859210</font>
| <font style="font-size:0.88em">[[11859211/11859210]]</font>
| 0.00014598
| 0.00014598
| (19/(3×11))<sup>4</sup>×((7×13)/(2×5))
| (19/(3×11))<sup>4</sup>×((7×13)/(2×5))
| {{Monzo| -1 -4 -1 1 -4 1 0 4 }}
| {{Monzo| -1 -4 -1 1 -4 1 0 4 }}
|  
| Tredekisma
|  
|  
|}
|}
Line 1,456: Line 1,456:
| (3<sup>2</sup>×7×19)/(2<sup>2</sup>×13×23)
| (3<sup>2</sup>×7×19)/(2<sup>2</sup>×13×23)
| {{Monzo| -2 2 0 1 0 -1 0 1 -1 }}
| {{Monzo| -2 2 0 1 0 -1 0 1 -1 }}
| Rhodesisma
| Rodessisma
|  
|  
|-
|-
Line 1,782: Line 1,782:
|}
|}


=== 29-limit ===
=== Higher-limit ===
{{Main|List of superparticular intervals/29-limit}}
See:
 
* [[List of superparticular intervals/29-limit]]
=== 31-limit ===
* [[List of superparticular intervals/31-limit]]
{{Main|List of superparticular intervals/31-limit}}
* [[List of superparticular intervals/37-limit]]
 
* [[List of superparticular intervals/41-limit]]
=== 37-limit ===
* [[List of superparticular intervals/43-limit]]
{{Main|List of superparticular intervals/37-limit}}
* [[List of superparticular intervals/47-limit]]
 
* [[List of superparticular intervals/53-limit]]
=== 41-limit (incomplete) ===
* [[List of superparticular intervals/59-limit]]
{| class="wikitable center-6" style="width:100%"
* [[List of superparticular intervals/61-limit]]
! width="10%" | [[Ratio]]
* [[List of superparticular intervals/67-limit]]
! width="10%" | [[Cent]]s
* [[List of superparticular intervals/71-limit]]
! width="15%" | Factorization
* [[List of superparticular intervals/73-limit]]
! width="15%" | [[Monzo]]
* [[List of superparticular intervals/79-limit]]
! width="45%" | Name(s)
* [[List of superparticular intervals/83-limit]]
! width="5%" | Meta<ref name="ssp"/>
* [[List of superparticular intervals/89-limit]]
|-
* [[List of superparticular intervals/97-limit]]
| [[41/40]]
* [[List of superparticular intervals/101-limit]]
| 42.749
* [[List of superparticular intervals/103-limit]]
| 41/(2<sup>3</sup>×5)
* [[List of superparticular intervals/107-limit]]
| 2.5.41 {{monzo| -3 -1 1 }}
* [[List of superparticular intervals/109-limit]]
| Large quadracesimoprimal 1/5-tone
* [[List of superparticular intervals/113-limit]]
|
* [[List of superparticular intervals/127-limit]]
|-
| [[42/41]]
| 41.719
| (2×3×7)/41
| 2.3.7.41 {{monzo| 1 1 1 -1 }}
| Small quadracesimoprimal 1/5-tone
|
|-
| [[82/81]]
| 21.242
| (2×41)/3<sup>4</sup>
| 2.3.41 {{monzo| 1 -4 1 }}
| 41st-partial chroma
|
|-
| [[124/123]]
| 14.018
| (2<sup>2</sup>×31)/(3×41)
| 2.3.31.41 {{monzo| 2 -1 1 -1 }}
|
|
|-
| [[165/164]]
| 10.524
| (3×5×11)/(2<sup>2</sup>×41)
| 2.3.5.11.41 {{monzo| -2 1 1 1 -1 }}
|
|
|-
| [[205/204]]
| 8.4657
| (5×41)/(2<sup>2</sup>×3×17)
| 2.3.5.17.41 {{monzo| -2 -1 1 -1 1 }}
|
|
|-
| [[246/245]]
| 7.0519
| (2×3×41)/(5×7<sup>2</sup>)
| 2.3.5.7.41 {{monzo| 1 1 -1 -2 1 }}
|
|
|-
| [[247/246]]
| 7.0233
| (13×19)/(2×3×41)
| 2.3.13.19.41 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[287/286]]
| 6.0427
| (7×41)/(2×11×13)
| 2.7.11.13.41 {{monzo| -1 1 -1 -1 1 }}
|
|
|-
| [[288/287]]
| 6.0217
| (2<sup>5</sup>×3<sup>2</sup>)/(7×41)
| 2.3.7.41 {{monzo| 5 2 -1 -1 }}
|
|
|-
| [[369/368]]
| 4.6981
| (3<sup>2</sup>×41)/(2<sup>4</sup>×23)
| 2.3.23.41 {{monzo| -4 2 -1 1 }}
|
|
|-
| [[370/369]]
| 4.6853
| (2×5×37)/(3<sup>2</sup>×41)
| 2.3.5.37.41 {{monzo| 1 -2 1 1 -1 }}
|
|
|-
| [[451/450]]
| 3.8429
| (11×41)/(2×(3×5)<sup>2</sup>)
| 2.3.5.11.41 {{monzo| -1 -2 -2 1 1 }}
|
|
|-
| [[493/492]]
| 3.5152
| (17×29)/(2<sup>2</sup>×3×41)
| 2.3.17.29.41 {{monzo| -2 -1 1 1 -1 }}
|
|
|-
| [[533/532]]
| 3.2511
| (13×41)/(2<sup>2</sup>×7×19)
| 2.7.13.19.41 {{monzo| -2 -1 1 -1 1 }}
|
|
|-
| [[575/574]]
| 3.0135
| (5<sup>2</sup>×23)/(2×7×41)
| 2.5.7.23.41 {{monzo| -1 2 -1 1 -1 }}
| Renatisma
|
|-
| [[616/615]]
| 2.8127
| (2<sup>3</sup>×7×11)/(3×5×41)
| 2.3.5.7.11.41 {{monzo| 3 -1 -1 1 1 -1 }}
| Ellisma
|
|-
| [[697/696]]
| 2.4856
| (17×41)/(2<sup>3</sup>×3×29)
| 2.3.17.29.41 {{monzo| -3 -1 1 -1 1 }}
|
|
|-
| [[780/779]]
| 2.2210
| (2<sup>2</sup>×3×5×13)/(19×41)
| 2.3.5.13.19.41 {{monzo| 2 1 1 1 -1 -1 }}
| Wiesentisma
|
|-
| [[820/819]]
| 2.1125
| (2<sup>2</sup>×5×41)/(3<sup>2</sup>×7×13)
| 2.3.5.7.13.41 {{monzo| 2 -2 1 -1 -1 1 }}
|
|
|-
| [[1025/1024]]
| 1.6898
| (5<sup>2</sup>×41)/2<sup>10</sup>
| 2.5.41 {{monzo| -10 2 1 }}
| Kilobytisma
|
|-
| [[1026/1025]]
| 1.6882
| (2×3<sup>3</sup>×19)/(5<sup>2</sup>×41)
| 2.3.5.19.41 {{monzo| 1 3 -2 1 -1 }}
| Ingridisma
|
|-
| [[1148/1147]]
| 1.5087
| (2<sup>2</sup>×7×41)/(31×37)
| 2.7.31.37.41 {{monzo| 2 1 -1 -1 1 }}
|
|
|-
| [[1189/1188]]
| 1.4567
| (29×41)/(2<sup>2</sup>×3<sup>3</sup>×11)
| 2.3.11.29.41 {{monzo| -2 -3 -1 1 1 }}
|
|
|-
| [[1190/1189]]
| 1.4554
| (2×5×7×17)/(29×41)
| 2.5.7.17.29.41 {{monzo| 1 1 1 1 -1 -1 }}
| Pelagisma
|
|-
| [[1312/1311]]
| 1.3200
| (2<sup>5</sup>×41)/(3×19×23)
| 2.3.19.23.41 {{monzo| 5 -1 -1 -1 1 }}
|
|
|-
| [[1353/1352]]
| 1.2800
| (3×11×41)/(2<sup>3</sup>×13<sup>2</sup>)
| 2.3.11.13.41 {{monzo| -3 1 1 -2 1 }}
|
|
|-
| [[1395/1394]]
| 1.2415
| (3<sup>2</sup>×5×31)/(2×17×41)
| 2.3.5.17.31.41 {{monzo| -1 2 1 -1 1 -1 }}
|
|
|-
| [[1518/1517]]
| 1.1408
| (2×3×11×23)/(37×41)
| 2.3.11.23.37.41 {{monzo| 1 1 1 1 -1 -1 }}
| Rovaniemisma
|
|-
| [[1600/1599]]
| 1.0824
| (2<sup>3</sup>×5)<sup>2</sup>/(3×13×41)
| 2.3.5.13.41 {{monzo| 6 -1 2 -1 -1 }}
|
| S40
|-
| [[1681/1680]]
| 1.0302
| 41<sup>2</sup>/(2<sup>4</sup>×3×5×7)
| 2.3.5.7.41 {{monzo| -4 -1 -1 -1 2 }}
|
| S41
|-
| [[1682/1681]]
| 1.0296
| (2×29<sup>2</sup>)/41<sup>2</sup>
| 2.29.41 {{monzo| 1 2 -2 }}
| Shaftesburisma
|
|-
| [[1805/1804]]
| 0.95940
| (5×19<sup>2</sup>)/(2<sup>2</sup>×11×41)
| 2.5.11.19.41 {{monzo| -2 1 -1 2 -1 }}
|
|
|-
| [[1886/1885]]
| 0.91818
| (2×23×41)/(5×13×29)
| 2.5.13.23.29.41 {{monzo| 1 -1 -1 1 -1 1 }}
|
|
|-
| [[1887/1886]]
| 0.91770
| (3×17×37)/(2×23×41)
| 2.3.17.23.37.41 {{monzo| -1 1 1 -1 1 -1 }}
|
|
|-
| [[2091/2090]]
| 0.82814
| (3×17×41)/(2×5×11×19)
| 2.3.5.11.17.19.41 {{monzo| -1 1 -1 -1 1 -1 1 }}
|
|
|-
| [[2255/2254]]
| 0.76790
| (5×11×41)/(2×7<sup>2</sup>×23)
| 2.5.7.11.23.41 {{monzo| -1 1 -2 1 -1 1 }}
| Qinghaisma
|
|-
| [[2296/2295]]
| 0.75419
| (2<sup>3</sup>×7×41)/(3<sup>3</sup>×5×17)
| 2.3.5.7.17.41 {{monzo| 3 -3 -1 1 -1 1 }}
|
|
|-
| [[2542/2541]]
| 0.68119
| (2×31×41)/(3×7×11<sup>2</sup>)
| 2.3.7.11.31.41 {{monzo| 1 -1 -1 -2 1 1 }}
|
|
|-
| [[2584/2583]]
| 0.67011
| (2<sup>3</sup>×17×19)/(3<sup>2</sup>×7×41)
| 2.3.7.17.19.41 {{monzo| 3 -2 -1 1 1 -1 }}
|
|
|-
| [[2625/2624]]
| 0.65964
| (3×5<sup>3</sup>×7)/(2<sup>6</sup>×41)
| 2.3.5.7.41 {{monzo| -6 1 3 1 -1 }}
|
|
|-
| [[2665/2664]]
| 0.64974
| (5×13×41)/(2<sup>3</sup>×3<sup>2</sup>×37)
| 2.3.5.13.37.41 {{monzo| -3 -2 1 1 -1 1 }}
|
|
|-
| [[2871/2870]]
| 0.60311
| (3<sup>2</sup>×11×29)/(2×5×7×41)
| 2.3.5.7.11.29.41 {{monzo| -1 2 -1 -1 1 1 -1 }}
| Schoberisma
|
|-
| [[3690/3689]]
| 0.46923
| (2×3<sup>2</sup>×5×41)/(7×17×31)
| 2.3.5.7.17.31.41 {{monzo| 1 2 1 -1 -1 -1 1 }}
|
|
|-
| [[3773/3772]]
| 0.45891
| (7<sup>3</sup>×11)/(2<sup>2</sup>×23×41)
| 2.7.11.23.41 {{monzo| -2 3 1 -1 -1 }}
| Smithsonianisma
|
|-
| [[4060/4059]]
| 0.42646
| (2<sup>2</sup>×5×7×29)/(3<sup>2</sup>×11×41)
| 2.3.5.7.11.29.41 {{monzo| 2 -2 1 1 -1 1 -1 }}
| Deipylosisma
|
|-
| [[4264/4263]]
| 0.40606
| (2<sup>3</sup>×13×41)/(3×7<sup>2</sup>×29)
| 2.3.7.13.29.41 {{monzo| 3 -1 -2 1 -1 1 }}
|
|
|-
| [[4551/4550]]
| 0.38045
| (3×37×41)/(2×5<sup>2</sup>×7×13)
| 2.3.5.7.13.37.41 {{monzo| -1 1 -2 -1 -1 1 1 }}
|
|
|-
| [[4675/4674]]
| 0.37036
| (5<sup>2</sup>×11×17)/(2×3×19×41)
| 2.3.5.11.17.19.41 {{monzo| -1 -1 2 1 1 -1 -1 }}
| Ohbokisma
|
|-
| [[4921/4920]]
| 0.35184
| (7×19×37)/(2<sup>3</sup>×3×5×41)
| 2.3.5.7.19.37.41 {{monzo| -3 -1 -1 1 1 1 -1 }}
| Volontisma
|
|-
| [[4961/4960]]
| 0.34900
| (11<sup>2</sup>×41)/(2<sup>5</sup>×5×31)
| 2.5.11.31.41 {{monzo| -5 -1 2 -1 1 }}
|
|
|-
| [[5084/5083]]
| 0.34056
| (2<sup>2</sup>×31×41)/(13×17×23)
| 2.13.17.23.31.41 {{monzo| 2 -1 -1 -1 1 1 }}
|
|
|-
| [[5577/5576]]
| 0.31045
| (3×11×13<sup>2</sup>)/(2<sup>3</sup>×17×41)
| 2.3.11.13.17.41 {{monzo| -3 1 1 2 -1 -1 }}
| Priestlisma
|
|-
| [[6069/6068]]
| 0.28528
| (3×7×17<sup>2</sup>)/(2<sup>2</sup>×37×41)
| 2.3.7.17.37.41 {{monzo| -2 1 1 2 -1 -1 }}
| Cevolanisma
|
|-
| [[6273/6272]]
| 0.27600
| (3<sup>2</sup>×17×41)/(2<sup>7</sup>×7<sup>2</sup>)
| 2.3.7.17.41 {{monzo| -7 2 -2 1 1 }}
|
|
|-
| [[6561/6560]]
| 0.26389
| 3<sup>8</sup>/(2<sup>5</sup>×5×41)
| 2.3.5.41 {{monzo| -5 8 -1 -1 }}
|
| S81
|-
| [[6601/6600]]
| 0.26229
| (7×23×41)/(2<sup>3</sup>×3×5<sup>2</sup>×11)
| 2.3.5.7.11.23.41 {{monzo| -3 -1 -2 1 -1 1 1 }}
|
|
|-
| [[6930/6929]]
| 0.24984
| (2×3<sup>2</sup>×5×7×11)/(13<sup>2</sup>×41)
| 2.3.5.7.11.13.41 {{monzo| 1 2 1 1 1 -2 -1 }}
| Bedanisma
|
|-
| [[7176/7175]]
| 0.24127
| (2<sup>3</sup>×3×13×23)/(5<sup>2</sup>×7×41)
| 2.3.5.7.13.23.41 {{monzo| 3 1 -2 -1 1 1 -1 }}
| Kunijisma
|
|-
| [[7216/7215]]
| 0.23993
| (2<sup>4</sup>×11×41)/(3×5×13×37)
| 2.3.5.11.13.37.41 {{monzo| 4 -1 -1 1 -1 -1 1 }}
|
|
|-
| [[7750/7749]]
| 0.22340
| (2×5<sup>3</sup>×31)/(3<sup>3</sup>×7×41)
| 2.3.5.7.31.41 {{monzo| 1 -3 3 -1 1 -1 }}
|
|
|-
| [[8569/8568]]
| 0.20205
| (11×19×41)/(2<sup>3</sup>×3<sup>2</sup>×7×17)
| 2.3.7.11.17.19.41 {{monzo| -3 -2 -1 1 -1 1 1 }}
| Mamelisma
|
|-
| [[8856/8855]]
| 0.19550
| ((2×3)<sup>3</sup>×41)/(5×7×11×23)
| 2.3.5.7.11.23.41 {{monzo| 3 3 -1 -1 -1 -1 1 }}
|
|
|-
| [[9472/9471]]
| 0.18278
| (2<sup>8</sup>×37)/(3×7×11×41)
| 2.3.7.11.37.41 {{monzo| 8 -1 -1 -1 1 -1 }}
| Brugesisma
|
|-
| 10045/10044
| 0.17236
| (5×7<sup>2</sup>×41)/(2<sup>2</sup>×3<sup>4</sup>×31)
| 2.3.5.7.31.41 {{monzo| -2 -4 1 2 -1 1 }}
|
|
|-
| [[10374/10373]]
| 0.16689
| (2×3×7×13×19)/(11×23×41)
| 2.3.7.11.13.19.23.41 {{monzo| 1 1 1 -1 1 1 -1 -1}}
| Etampesisma
|
|-
| 10660/10659
| 0.16241
| (2<sup>2</sup>×5×13×41)/(3×11×17×19)
| 2.3.5.11.13.17.19.41 {{monzo| 2 -1 1 -1 1 -1 -1 1 }}
|
|
|-
| [[11440/11439]]
| 0.15134
| (2<sup>4</sup>×5×11×13)/(3<sup>2</sup>×31×41)
| 2.3.5.11.13.31.41 {{monzo| 4 -2 1 1 1 -1 -1 }}
| Massironisma
|
|-
| 13776/13775
| 0.12567
| (2<sup>4</sup>×3×7×41)/(5<sup>2</sup>×19×29)
| 2.3.5.7.19.29.41 {{monzo| 4 1 -2 1 -1 -1 1 }}
|
|
|-
| 14145/14144
| 0.12240
| (3×5×23×41)/(2<sup>6</sup>×13×17)
| 2.3.5.13.17.23.41 {{monzo| -6 1 1 -1 -1 1 1 }}
|
|
|-
| 14801/14800
| 0.11697
| (19<sup>2</sup>×41)/(2<sup>4</sup>×5<sup>2</sup>×37)
| 2.5.19.37.41 {{monzo| -4 -2 2 -1 1 }}
|
|
|-
| [[15376/15375]]
| 0.11260
| (2<sup>2</sup>×31)<sup>2</sup>/(3×5<sup>3</sup>×41)
| 2.3.5.31.41 {{monzo| 4 -1 -3 2 -1 }}
| Martakisma
| S124
|-
| 15457/15456
| 0.11201
| (13×29×41)/(2<sup>5</sup>×3×7×23)
| 2.3.7.13.23.29.41 {{monzo| -5 -1 -1 1 -1 1 1 }}
|
|
|-
| 16400/16399
| 0.10557
| (2<sup>4</sup>×5<sup>2</sup>×41)/(23<sup>2</sup>×31)
| 2.5.23.31.41 {{monzo| 4 2 -2 -1 1 }}
|
|
|-
| 16524/16523
| 0.10477
| (2<sup>2</sup>×3<sup>5</sup>×17)/(13×31×41)
| 2.3.13.17.31.41 {{monzo| 2 5 -1 1 -1 -1 }}
|
|
|-
| 16606/16605
| 0.10426
| (2×19<sup>2</sup>×23)/(3<sup>4</sup>×5×41)
| 2.3.5.19.23.41 {{monzo| 1 -4 -1 2 1 -1 }}
|
|
|-
| 17425/17424
| 0.099356
| (5<sup>2</sup>×17×41)/(2<sup>2</sup>×3×11)<sup>2</sup>
| 2.3.5.11.17.41 {{monzo| -4 -2 2 -2 1 1 }}
|
|
|-
| [[17836/17835]]
| 0.097067
| (2<sup>2</sup>×7<sup>3</sup>×13)/(3×5×29×41)
| 2.3.5.7.13.29.41 {{monzo| 2 -1 -1 3 1 -1 -1 }}
| Canupisma
|
|-
| 17918/17917
| 0.096623
| (2×17<sup>2</sup>×31)/(19×23×41)
| 2.17.19.23.31.41 {{monzo| 1 2 -1 -1 1 -1 }}
|
|
|-
| 19721/19720
| 0.087789
| (13×37×41)/(2<sup>3</sup>×5×17×29)
| 2.5.13.17.29.37.41 {{monzo| -3 -1 1 -1 -1 1 1 }}
|
|
|-
| 19845/19844
| 0.087240
| (3<sup>4</sup>×5×7<sup>2</sup>)/((2×11)<sup>2</sup>×41)
| 2.3.5.7.11.41 {{monzo| -2 4 1 2 -2 -1 }}
|
|
|-
| [[76384/76383]]
| 0.022665
| (2<sup>5</sup>×7×11×31)/(3<sup>4</sup>×23×41)
| 2.3.7.11.23.31.41 {{monzo| 5 -4 1 1 -1 1 -1 }}
| Vernonisma
|
|-
| [[Mebisma|1048576/1048575]]
| 0.0016510
| 2<sup>20</sup>/(3×5<sup>2</sup>×11×31×41)
| 2.3.5.11.31.41 {{monzo| 20 -1 -2 -1 -1 -1 }}
| Mebisma
| S1024
|}
 
=== 43-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[43/42]]
| 40.737
| 43/(2×3×7)
| 2.3.7.43 {{monzo| -1 -1 -1 1 }}
| Large quadracesimotertial 1/5-tone
|
|-
| [[44/43]]
| 39.800
| (2<sup>2</sup>×11)/43
| 2.11.43 {{monzo| 2 1 -1 }}
| Small quadracesimotertial 1/5-tone
|
|-
| [[86/85]]
| 20.249
| (2×43)/(5×17)
| 2.5.17.43 {{monzo| 1 -1 -1 1 }}
| Large quadracesimotertial 1/10-tone
|
|-
| [[87/86]]
| 20.014
| (3×29)/(2×43)
| 2.3.29.43 {{monzo| -1 1 1 -1 }}
| Small quadracesimotertial 1/10-tone
|
|-
| [[129/128]]
| 13.473
| (3×43)/2<sup>7</sup>
| 2.3.43 {{monzo| -7 1 1 }}
| 43rd-partial chroma
|
|-
| [[130/129]]
| 13.369
| (2×5×13)/(3×43)
| 2.3.5.13.43 {{monzo| 1 -1 1 1 -1 }}
|
|
|-
| [[172/171]]
| 10.095
| (2<sup>2</sup>×43)/(3<sup>2</sup>×19)
| 2.3.19.43 {{monzo| 2 -2 -1 1 }}
|
|
|-
| [[216/215]]
| 8.0336
| (2×3)<sup>3</sup>/(5×43)
| 2.3.5.43 {{monzo| 3 3 -1 -1 }}
|
|
|-
| [[259/258]]
| 6.6972
| (7×37)/(2×3×43)
| 2.3.7.37.43 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[301/300]]
| 5.7612
| (7×43)/((2×5)<sup>2</sup>×3)
| 2.3.5.7.43 {{monzo| -2 -1 -2 1 1 }}
|
|
|-
| [[344/343]]
| 5.0400
| (2<sup>3</sup>×43)/7<sup>3</sup>
| 2.7.43 {{monzo| 3 -3 1 }}
|
|
|-
| [[345/344]]
| 5.0254
| (3×5×23)/(2<sup>3</sup>×43)
| 2.3.5.23.43 {{monzo| -3 1 1 1 -1 }}
|
|
|-
| [[430/429]]
| 4.0308
| (2×5×43)/(3×11×13)
| 2.3.5.11.13.43 {{monzo| 1 -1 1 -1 -1 1 }}
|
|
|-
| [[559/558]]
| 3.0998
| (13×43)/(2×3<sup>2</sup>×31)
| 2.3.13.31.43 {{monzo| -1 -2 1 -1 1 }}
|
|
|-
| [[560/559]]
| 3.0943
| (2<sup>4</sup>×5×7)/(13×43)
| 2.5.7.13.43 {{monzo| 4 1 1 -1 -1 }}
|
|
|-
| [[645/644]]
| 2.6862
| (3×5×43)/(2<sup>2</sup>×7×23)
| 2.3.5.7.23.43 {{monzo| -2 1 1 -1 -1 1 }}
|
|
|-
| [[646/645]]
| 2.6820
| (2×17×19)/(3×5×43)
| 2.3.5.17.19.43 {{monzo| 1 -1 -1 1 1 -1 }}
| Kastalisma
|
|-
| [[775/774]]
| 2.2353
| (5<sup>2</sup>×31)/(2×3<sup>2</sup>×43)
| 2.3.5.31.43 {{monzo| -1 -2 2 1 -1 }}
|
|
|-
| [[817/816]]
| 2.1203
| (19×43)/(2<sup>4</sup>×3×17)
| 2.3.17.19.43 {{monzo| -4 -1 -1 1 1 }}
|
|
|-
| [[861/860]]
| 2.0119
| (3×7×41)/(2<sup>2</sup>×5×43)
| 2.3.5.7.41.43 {{monzo| -2 1 -1 1 1 -1 }}
|
|
|-
| [[903/902]]
| 1.9183
| (3×7×43)/(2×11×41)
| 2.3.7.11.41.43 {{monzo| -1 1 1 -1 -1 1 }}
|
|
|-
| [[946/945]]
| 1.8310
| (2×11×43)/(3<sup>3</sup>×5×7)
| 2.3.5.7.11.43 {{monzo| 1 -3 -1 -1 1 1 }}
|
|
|-
| [[989/988]]
| 1.7514
| (23×43)/(2<sup>2</sup>×13×19)
| 2.13.19.23.43 {{monzo| -2 -1 -1 1 1 }}
|
|
|-
| [[990/989]]
| 1.7496
| (2×3<sup>2</sup>×5×11)/(23×43)
| 2.3.5.11.23.43 {{monzo| 1 2 1 1 -1 -1 }}
| Yerkesisma
|
|-
| [[1161/1160]]
| 1.4918
| (3<sup>3</sup>×43)/(2<sup>3</sup>×5×29)
| 2.3.5.29.43 {{monzo| -3 3 -1 -1 1 }}
|
|
|-
| [[1248/1247]]
| 1.3878
| (2<sup>5</sup>×3×13)/(29×43)
| 2.3.13.29.43 {{monzo| 5 1 1 -1 -1 }}
|
|
|-
| [[1333/1332]]
| 1.2992
| (31×43)/((2×3)<sup>2</sup>×37)
| 2.3.31.37.43 {{monzo| -2 -2 1 -1 1 }}
| Cevenolisma
|
|-
| [[1334/1333]]
| 1.2983
| (2×23×29)/(31×43)
| 2.23.29.31.43 {{monzo| 1 1 1 -1 -1 }}
|
|
|-
| [[1376/1375]]
| 1.2586
| (2<sup>5</sup>×43)/(5<sup>3</sup>×11)
| 2.5.11.43 {{monzo| 5 -3 -1 1 }}
|
|
|-
| [[1377/1376]]
| 1.2577
| (3<sup>4</sup>×17)/(2<sup>5</sup>×43)
| 2.3.17.43 {{monzo| -5 4 1 -1 }}
| Roberbauxisma
|
|-
| [[1463/1462]]
| 1.1838
| (7×11×19)/(2×17×43)
| 2.7.11.17.19.43 {{monzo| -1 1 1 -1 1 -1 }}
| Nordenmarkisma
|
|-
| [[1548/1547]]
| 1.1187
| (2<sup>2</sup>×3<sup>2</sup>×43)/(7×13×17)
| 2.3.7.13.17.43 {{monzo| 2 2 -1 -1 -1 1 }}
|
|
|-
| [[1764/1763]]
| 0.98170
| (2×3×7)<sup>2</sup>/(41×43)
| 2.3.7.41.43 {{monzo| 2 2 2 -1 -1 }}
|
| S42
|-
| [[1806/1805]]
| 0.95887
| (2×3×7×43)/(5×19<sup>2</sup>)
| 2.3.5.7.19.43 {{monzo| 1 1 -1 1 -2 1 }}
|
|
|-
| [[1849/1848]]
| 0.93656
| 43<sup>2</sup>/(2<sup>3</sup>×3×7×11)
| 2.3.7.11.43 {{monzo| -3 -1 -1 -1 2 }}
|
| S43
|-
| [[1850/1849]]
| 0.93606
| (2×5<sup>2</sup>×37)/43<sup>2</sup>
| 2.5.37.43 {{monzo| 1 2 1 -2 }}
|
|
|-
| [[1936/1935]]
| 0.89446
| (2<sup>2</sup>×11)<sup>2</sup>/(3<sup>2</sup>×5×43)
| 2.3.5.11.43 {{monzo| 4 -2 -1 2 -1 }}
|
| S44
|-
| [[2925/2924]]
| 0.59198
| (3<sup>2</sup>×5<sup>2</sup>×13)/(2<sup>2</sup>×17×43)
| 2.3.5.13.17.43 {{monzo| -2 2 2 1 -1 -1 }}
| Beattisma
|
|-
| [[3312/3311]]
| 0.52279
| (2<sup>4</sup>×3<sup>2</sup>×23)/(7×11×43)
| 2.3.7.11.23.43 {{monzo| 4 2 -1 -1 1 -1 }}
| Pedersenisma
|
|-
| [[4000/3999]]
| 0.43286
| (2<sup>5</sup>×5<sup>3</sup>)/(3×31×43)
| 2.3.5.31.43 {{monzo| 5 -1 3 -1 -1 }}
| Hipparchusisma
|
|-
| [[4301/4300]]
| 0.40257
| (11×17×23)/(2<sup>2</sup>×5<sup>2</sup>×43)
| 2.5.11.17.23.43 {{monzo| -2 -2 1 1 1 -1 }}
| Boydenisma
|
|-
| [[4774/4773]]
| 0.36268
| (2×7×11×31)/(3×37×43)
| 2.3.7.11.31.37.43 {{monzo| 1 -1 1 1 1 -1 -1 }}
| Hobetsisma
|
|-
| [[5720/5719]]
| 0.30269
| (2<sup>3</sup>×5×11×13)/(7×19×43)
| 2.5.7.11.13.19.43 {{monzo| 3 1 -1 1 1 -1 -1 }}
| Halweaverisma
|
|-
| [[7225/7224]]
| 0.23963
| (5×17)<sup>2</sup>/(2<sup>3</sup>×3×7×43)
| 2.3.5.7.17.43 {{monzo| -3 -1 2 -1 2 -1 }}
| Huntressisma
| S85
|-
| [[7956/7955]]
| 0.21761
| (2<sup>2</sup>×3<sup>2</sup>×13×17)/(5×37×43)
| 2.3.5.13.17.37.43 {{monzo| 2 2 -1 1 1 -1 -1 }}
| Yajinisma
|
|-
| [[9504/9503]]
| 0.18217
| (2<sup>5</sup>×3<sup>3</sup>×11)/(13×17×43)
| 2.3.11.13.17.43 {{monzo| 5 3 1 -1 -1 -1 }}
| Lionelisma
|
|-
| [[9633/9632]]
| 0.17973
| (3×13<sup>2</sup>×19)/(2<sup>5</sup>×7×43)
| 2.3.7.13.19.43 {{monzo| -5 1 -1 2 1 -1 }}
| Coturisma
|
|-
| [[10450/10449]]
| 0.16568
| (2×5<sup>2</sup>×11×19)/(3<sup>5</sup>×43)
| 2.3.5.11.19.43 {{monzo| 1 -5 2 1 1 -1}}
| Girardisma
|
|-
| [[10880/10879]]
| 0.15912
| (2<sup>7</sup>×5×17)/(11×23×43)
| 2.5.11.17.23.43 {{monzo| 7 1 -1 1 -1 -1 }}
| Kaguyisma
|
|-
| [[17545/17544]]
| 0.098677
| (5×11<sup>2</sup>×29)/(2<sup>3</sup>×3×17×43)
| 2.3.5.11.17.29.43 {{monzo| -3 -1 1 2 -1 1 -1 }}
| Manheimisma
|
|-
| [[27048/27047]]
| 0.064007
| (2<sup>3</sup>×3×7<sup>2</sup>×23)/(17×37×43)
| 2.3.7.17.23.37.43 {{monzo| 3 1 2 -1 1 -1 -1 }}
| Jangongisma
|
|-
| [[29241/29240]]
| 0.059207
| (3<sup>2</sup>×19)<sup>2</sup>/(2<sup>3</sup>×5×17×43)
| 2.3.5.17.19.43 {{monzo| -3 4 -1 -1 2 -1 }}
| Locquirecisma
| S171
|}
 
=== 47-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[47/46]]
| 37.232
| 47/(2×23)
| 2.23.47 {{monzo| -1 -1 1 }}
|
|
|-
| [[48/47]]
| 36.448
| (2<sup>4</sup>×3)/47
| 2.3.47 {{monzo| 4 1 -1 }}
| 47th-partial chroma
|
|-
| [[94/93]]
| 18.516
| (2×47)/(3×31)
| 2.3.31.47 {{monzo| 1 -1 -1 1 }}
|
|
|-
| [[95/94]]
| 18.320
| (5×19)/(2×47)
| 2.5.19.47 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[141/140]]
| 12.322
| (3×47)/(2<sup>2</sup>×5×7)
| 2.3.5.7.47 {{monzo| -2 1 -1 -1 1 }}
|
|
|-
| [[188/187]]
| 9.2333
| (2<sup>2</sup>×47)/(11×17)
| 2.11.37.47 {{monzo| 2 -1 -1 1 }}
|
|
|-
| [[189/188]]
| 9.1843
| (3<sup>3</sup>×7)/(2<sup>2</sup>×47)
| 2.3.7.47 {{monzo| -2 3 1 -1 }}
|
|
|-
| [[235/234]]
| 7.3827
| (5×47)/(2×3<sup>2</sup>×13)
| 2.3.5.13.47 {{monzo| -1 -2 1 -1 1 }}
|
|
|-
| [[329/328]]
| 5.2701
| (7×47)/(2<sup>3</sup>×41)
| 2.7.41.47 {{monzo| -3 1 -1 1 }}
|
|
|-
| [[330/329]]
| 5.2541
| (2×3×5×11)/(7×47)
| 2.3.5.7.11.47 {{monzo| 1 1 1 -1 1 -1 }}
|
|
|-
| [[376/375]]
| 4.6105
| (2<sup>3</sup>×47)/(3×5<sup>3</sup>)
| 2.3.5.47 {{monzo| 3 -1 -3 1 }}
|
|
|-
| [[377/376]]
| 4.5982
| (13×29)/(2<sup>3</sup>×47)
| 2.13.29.47 {{monzo| -3 1 1 -1 }}
|
|
|-
| [[1176/1175]]
| 1.4728
| (2<sup>3</sup>×3×7<sup>2</sup>)/(5<sup>2</sup>×47)
| 2.3.5.7.47 {{monzo| 3 1 -2 2 -1 }}
| Lucidorisma
|
|-
| [[2116/2115]]
| 0.81836
| (2×23)<sup>2</sup>/(3<sup>2</sup>×5×47)
| 2.3.5.23.47 {{monzo| 2 -2 -1 2 -1 }}
|
| S46
|-
| [[2209/2208]]
| 0.78390
| 47<sup>2</sup>/(2<sup>5</sup>×3×5)
| 2.3.23.47 {{monzo| -5 -1 -1 2 }}
|
| S47
|-
| [[2304/2303]]
| 0.75157
| (2<sup>4</sup>×3)<sup>2</sup>/(7<sup>2</sup>×47)
| 2.3.7.47 {{monzo| 8 2 -2 -1 }}
|
| S48
|}
 
=== 53-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[53/52]]
| 32.977
| 53/(2<sup>2</sup>×13)
| 2.13.53 {{monzo| -2 -1 1 }}
|
|
|-
| [[54/53]]
| 32.360
| (2×3<sup>3</sup>)/53
| 2.3.53 {{monzo| 1 3 -1 }}
|
|
|-
| [[106/105]]
| 16.410
| (2×53)/(3×5×7)
| 2.3.5.7.53 {{monzo| 1 -1 -1 -1 1 }}
|
|
|-
| [[160/159]]
| 10.854
| (2<sup>5</sup>×5)/(3×53)
| 2.3.5.53 {{monzo| 5 -1 1 -1 }}
|
|
|-
| [[265/264]]
| 6.5453
| (5×53)/(2<sup>3</sup>×3×11)
| 2.3.5.11.53 {{monzo| -3 -1 1 -1 1 }}
|
|
|-
| [[266/265]]
| 6.5207
| (2×7×19)/(5×53)
| 2.5.7.19.53 {{monzo| 1 -1 1 1 -1 }}
|
|
|-
| [[319/318]]
| 5.4356
| (11×29)/(2×3×53)
| 2.3.11.29.53 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[371/370]]
| 4.6727
| (7×53)/(2×5×37)
| 2.5.7.37.53 {{monzo| -1 -1 1 -1 1 }}
|
|
|-
| [[372/371]]
| 4.6601
| (2<sup>2</sup>×3×31)/(7×53)
| 2.3.7.31.53 {{monzo| 2 1 -1 1 -1 }}
|
|
|-
| [[424/423]]
| 4.0879
| (2<sup>3</sup>×53)/(3<sup>2</sup>×47)
| 2.3.47.53 {{monzo| 3 -2 -1 1 }}
|
|
|-
| [[425/424]]
| 4.0783
| (5<sup>2</sup>×17)/(2<sup>3</sup>×53)
| 2.5.17.53 {{monzo| -3 2 1 -1 }}
|
|
|-
| [[477/476]]
| 3.6332
| (3<sup>2</sup>×53)/(2<sup>2</sup>×7×17)
| 2.3.7.17.53 {{monzo| -2 2 -1 -1 1 }}
|
|
|-
| [[2809/2808]]
| 0.61643
| 53<sup>2</sup>/(2<sup>3</sup>×3<sup>3</sup>×13)
| 2.3.13.53 {{monzo| -3 -3 -1 2 }}
|
| S53
|-
| [[4081/4080]]
| 0.42427
| (7×11×53)/(2<sup>4</sup>×3×5×17)
| 2.3.5.7.11.17.53 {{monzo| -4 -1 -1 1 1 -1 1 }}
|
|
|}
 
=== 59-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[59/58]]
| 29.594
| 59/(2×29)
| 2.29.59 {{monzo| -1 -1 1 }}
|
|
|-
| [[60/59]]
| 29.097
| (2<sup>2</sup>×3×5)/59
| 2.3.5.59 {{monzo| 2 1 1 -1 }}
|
|
|-
| [[118/117]]
| 14.734
| (2×59)/(3<sup>2</sup>×13)
| 2.3.13.59 {{monzo| 1 -2 -1 1 }}
|
|
|-
| [[119/118]]
| 14.610
| (7×17)/(2×59)
| 2.7.17.59 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[177/176]]
| 9.8087
| (3×59)/(2<sup>4</sup>×11)
| 2.3.11.59 {{monzo| -4 1 -1 1 }}
|
|
|-
| [[236/235]]
| 7.3513
| (2<sup>2</sup>×59)/(5×47)
| 2.5.47.59 {{monzo| 2 -1 -1 1 }}
|
|
|-
| [[295/294]]
| 5.8786
| (5×59)/(2×3×7<sup>2</sup>)
| 2.3.5.7.59 {{monzo| -1 -1 1 -2 1 }}
|
|
|-
| [[296/295]]
| 5.8587
| (2<sup>3</sup>×37)/(5×59)
| 2.5.37.59 {{monzo| 3 -1 1 -1 }}
|
|
|-
| [[414/413]]
| 4.1868
| (2×3<sup>2</sup>×23)/(7×59)
| 2.3.7.23.59 {{monzo| 1 2 -1 1 -1 }}
|
|
|-
| [[473/472]]
| 3.6640
| (11×43)/(2<sup>3</sup>×59)
| 2.11.43.59 {{monzo| -3 1 1 -1 }}
|
|
|-
| [[1121/1120]]
| 1.5451
| (19×59)/(2<sup>5</sup>×5×7)
| 2.5.7.19.59 {{monzo| -5 -1 -1 1 1 }}
|
|
|-
| [[1122/1121]]
| 1.5437
| (2×3×11×17)/(19×59)
| 2.3.11.17.19.59 {{monzo| 1 1 1 1 -1 -1 }}
|
|
|-
| [[3481/3480]]
| 0.49741
| 59<sup>2</sup>/(2<sup>3</sup>×3×5×29)
| 2.3.5.29.59 {{monzo| -3 -1 -1 -1 2}}
|
| S59
|}
 
=== 61-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[61/60]]
| 28.616
| 61/(2<sup>2</sup>×3×5)
| 2.3.5.61 {{monzo| -2 -1 -1 1 }}
|
|
|-
| [[62/61]]
| 28.151
| (2×31)/61
| 2.31.61 {{monzo| 1 1 -1 }}
|
|
|-
| [[122/121]]
| 14.249
| (2×61)/(11<sup>2</sup>)
| 2.11.61 {{monzo| 1 -2 1 }}
|
|
|-
| [[123/122]]
| 14.133
| (3×41)/(2×61)
| 2.3.41.61 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[183/182]]
| 9.4862
| (3×61)/(2×7×13)
| 2.3.7.13.61 {{monzo| -1 1 -1 -1 1 }}
|
|
|-
| [[184/183]]
| 9.4345
| (2<sup>3</sup>×23)/(3×61)
| 2.3.23.61 {{monzo| 3 -1 1 -1 }}
|
|
|-
| [[244/243]]
| 7.1098
| (2<sup>2</sup>×61)/3<sup>5</sup>
| 2.3.61 {{monzo| 2 -5 1 }}
|
|
|-
| [[245/244]]
| 7.0807
| (5×7<sup>2</sup>)/(2<sup>2</sup>×61)
| 2.5.7.61 {{monzo| -2 1 2 -1 }}
|
|
|-
| [[305/304]]
| 5.6855
| (5×61)/(2<sup>4</sup>×19)
| 2.5.19.61 {{monzo| -4 1 -1 1 }}
|
|
|-
| [[306/305]]
| 5.6669
| (2×3<sup>2</sup>×17)/(5×61)
| 2.3.5.17.61 {{monzo| 1 2 -1 1 -1 }}
|
|
|-
| [[672/671]]
| 2.5782
| (2<sup>5</sup>×3×7)/(11×61)
| 2.3.7.11.61 {{monzo| 5 1 1 -1 -1 }}
|
|
|-
| [[1404/1403]]
| 1.2335
| (2<sup>2</sup>×3<sup>3</sup>×13)/(23×61)
| 2.3.13.23.61 {{monzo| 2 3 1 -1 -1 }}
|
|
|-
| [[3721/3720]]
| 0.46532
| 61<sup>2</sup>/(2<sup>3</sup>×3×5×31)
| 2.3.5.31.61 {{monzo| -3 -1 -1 -1 2 }}
|
| S61
|}
 
=== 67-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[67/66]]
| 26.034
| 67/(2×3×11)
| 2.3.11.67 {{monzo| -1 -1 -1 1 }}
|
|
|-
| [[68/67]]
| 25.648
| (2<sup>2</sup>×17)/67
| 2.17.67 {{monzo| 2 1 -1 }}
|
|
|-
| [[134/133]]
| 12.968
| (2×67)/(7×19)
| 2.7.19.67 {{monzo| 1 -1 -1 1 }}
|
|
|-
| [[135/134]]
| 12.872
| (3<sup>3</sup>×5)/(2×67)
| 2.3.5.67 {{monzo| -1 3 1 -1 }}
|
|
|-
| [[201/200]]
| 8.6346
| (3×67)/(2<sup>3</sup>×5<sup>2</sup>)
| 2.3.5.67 {{monzo| -3 1 -2 1 }}
|
|
|-
| [[336/335]]
| 5.1602
| (2<sup>4</sup>×3×7)/(5×67)
| 2.3.5.7.67 {{monzo| 4 1 -1 1 -1 }}
|
|
|-
| [[671/670]]
| 2.5820
| (11×61)/(2×5×67)
| 2.5.11.61.67 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[4489/4488]]
| 0.38570
| 67<sup>2</sup>/(2<sup>3</sup>×3×11×17)
| 2.3.11.17.67 {{monzo| -3 -1 -1 -1 2 }}
|
| S67
|}
 
=== 71-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[71/70]]
| 24.557
| 71/(2×5×7)
| 2.5.7.71 {{monzo| -1 -1 -1 1 }}
|
|
|-
| [[72/71]]
| 24.213
| (2<sup>3</sup>×3<sup>2</sup>)/71
| 2.3.71 {{monzo| 3 2 -1 }}
|
|
|-
| [[5041/5040]]
| 0.34346
| 71<sup>2</sup>/(2<sup>4</sup>×3<sup>2</sup>×5×7)
| 2.3.5.7.71 {{monzo| -4 -2 -1 -1 2 }}
| Third brown pair comma
| S71
|-
| <font style="font-size:0.85em">[[Borcherdsma|160561400000 / 160561399999]]</font>
| 1.0783×10<sup>-8</sup>
| (2<sup>6</sup>×5<sup>5</sup>×19×29×31×47) / (7×11<sup>2</sup>×13×59<sup>3</sup>×71)
| 2.5.7.11.13.19.29.31.47.59.71 {{monzo| 6 5 -1 -2 -1 1 1 1 1 -3 -1 }}
| Borcherdsma
|
|}
 
=== 73-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[73/72]]
| 23.879
| 73/(2<sup>3</sup>×3<sup>2</sup>)
| 2.3.73 {{monzo| -3 -2 1 }}
|
|
|-
| [[74/73]]
| 23.555
| (2×37)/73
| 2.37.73 {{monzo| 1 1 -1 }}
|
|
|-
| [[366/365]]
| 4.737
| (2×3×61)/(5×73)
| 2.3.5.61.73 [1 1 -1 1 -1⟩
| Sidereal comma
|
|}
 
=== 79-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[79/78]]
| 22.054
| 79/(2×3×13)
| 2.3.13.79 {{monzo| -1 -1 -1 1 }}
|
|
|-
| [[80/79]]
| 21.777
| (2<sup>4</sup>×5)/79
| 2.5.79 {{monzo| 4 1 -1 }}
|
|
|}
 
=== 83-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[83/82]]
| 20.985
| 83/(2×41)
| 2.41.83 {{monzo| -1 -1 1 }}
|
|
|-
| [[84/83]]
| 20.734
| (2<sup>2</sup>×3×7)/83
| 2.3.7.83 {{monzo| 2 1 1 -1 }}
|
|
|}
 
=== 89-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[89/88]]
| 19.562
| 89/(2<sup>3</sup>×11)
| 2.11.89 {{monzo| -3 -1 1 }}
| Tailwind comma{{idiosyncratic}}
|
|-
| [[90/89]]
| 19.344
| (2×3<sup>2</sup>×5)/89
| 2.3.5.89 {{monzo| 1 2 1 -1 }}
|
|
|}
 
=== 97-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[97/96]]
| 17.940
| 97/(2<sup>5</sup>×3)
| 2.3.97 {{monzo| -5 -1 1 }}
|
|
|-
| [[98/97]]
| 17.756
| (2×7<sup>2</sup>)/97
| 2.7.97 {{monzo| 1 2 -1 }}
|
|
|}
 
=== 101-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[101/100]]
| 17.226
| 101/(2×5)<sup>2</sup>
| 2.5.101 {{monzo| -2 -2 1 }}
|
|
|-
| [[102/101]]
| 17.057
| (2×3×17)/101
| 2.3.17.101 {{monzo| 1 1 1 -1 }}
|
|
|-
| [[7777/7776]]
| 0.223
| 7×11×101/(2×3)<sup>5</sup>
| 2.3.7.11.101 {{monzo| -5 -5 1 1 1 }}
| Pulsar comma
|
|}
 
=== 103-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[103/102]]
| 16.890
| 103/(2×3×17)
| 2.3.17.103 {{monzo| -1 -1 -1 1 }}
|
|
|-
| [[104/103]]
| 16.727
| (2<sup>3</sup>×13)/103
| 2.13.103 {{monzo| 3 1 -1 }}
|
|
|}
 
=== 107-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[107/106]]
| 16.256
| 107/(2×53)
| 2.53.107 {{monzo| -1 -1 1 }}
|
|
|-
| [[108/107]]
| 16.105
| (2<sup>2</sup>×3<sup>3</sup>)/107
| 2.3.107 {{monzo| 2 3 -1 }}
|
|
|-
| [[750/749]]
| 2.3099
| (2×3×5<sup>3</sup>)/(7×107)
| 2.3.5.7.107 {{monzo| 1 1 3 -1 -1 }}
| Ancient Chinese tempering comma
|
|}
 
=== 109-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[109/108]]
| 15.956
| 109/(2<sup>2</sup>×3<sup>3</sup>)
| 2.3.109 {{monzo| -2 -3 1 }}
|
|
|-
| [[110/109]]
| 15.810
| (2×5×11)/109
| 2.5.11.109 {{monzo| 1 1 1 -1 }}
|
|
|}
 
=== 113-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[113/112]]
| 15.389
| 113/(2<sup>4</sup>×7)
| 2.7.113 {{monzo| -4 -1 1 }}
|
|
|-
| [[114/113]]
| 15.253
| (2×3×19)/113
| 2.3.19.113 {{monzo| 1 1 1 -1 }}
|
|
|-
| [[226/225]]
| 7.6773
| (2×113)/(3×5)<sup>2</sup>
| 2.3.5.113 {{monzo| 1 -2 -2 1 }}
| Reversed marvel comma
|
|}
 
=== 127-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[127/126]]
| 13.686
| 127/(2×3<sup>2</sup>×7)
| 2.3.7.127 {{monzo| -1 -2 -1 1 }}
|
|
|-
| [[128/127]]
| 13.578
| 2<sup>7</sup>/127
| 2.127 {{monzo| 7 -1 }}
|
|
|-
| [[381/380]]
| 4.5499
| (3×127)/(2<sup>2</sup>×5×19)
| 2.3.5.19.127 {{monzo| -2 1 -1 -1 1 }}
| Five feet comma
|
|-
| 500000/499999
| 0.0034625
| (2<sup>5</sup>×5<sup>6</sup>)/(31×127<sup>2</sup>)
| 2.5.31.127 {{monzo| 5 6 -1 -2 }}
|
|
|}


== See also ==
== See also ==
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"