List of superparticular intervals: Difference between revisions

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Line 2,534: Line 2,534:
| 2.3.5.31 {{monzo| -1 -1 -1 1 }}
| 2.3.5.31 {{monzo| -1 -1 -1 1 }}
| Large tricesimoprimal 1/4-tone
| Large tricesimoprimal 1/4-tone
|
|  
|-
|-
| [[32/31]]
| [[32/31]]
Line 2,541: Line 2,541:
| 2.31 {{monzo| 5 -1 }}
| 2.31 {{monzo| 5 -1 }}
| Small tricesimoprimal 1/4-tone, octave-reduced 31st subharmonic
| Small tricesimoprimal 1/4-tone, octave-reduced 31st subharmonic
|
|  
|-
|-
| [[63/62]]
| [[63/62]]
Line 2,548: Line 2,548:
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| tricesimoprimal 1/8-tone
| tricesimoprimal 1/8-tone
|
|  
|-
|-
| [[93/92]]
| [[93/92]]
Line 2,555: Line 2,555:
| 2.3.23.31 {{monzo| -2 1 -1 1 }}
| 2.3.23.31 {{monzo| -2 1 -1 1 }}
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|-
| [[125/124]]
| [[125/124]]
Line 2,562: Line 2,562:
| 2.5.31 {{monzo| -2 3 -1 }}
| 2.5.31 {{monzo| -2 3 -1 }}
| Twizzler
| Twizzler
|
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|-
|-
| [[155/154]]
| [[155/154]]
Line 2,569: Line 2,569:
| 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }}
| 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }}
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|-
|-
| [[156/155]]
| [[156/155]]
Line 2,576: Line 2,576:
| 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }}
| 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }}
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|  
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|-
|-
| [[187/186]]
| [[187/186]]
Line 2,583: Line 2,583:
| 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }}
| 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }}
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|-
|-
| [[217/216]]
| [[217/216]]
Line 2,590: Line 2,590:
| 2.3.7.31 {{monzo| -3 -3 1 1 }}
| 2.3.7.31 {{monzo| -3 -3 1 1 }}
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|-
|-
| [[248/247]]
| [[248/247]]
Line 2,597: Line 2,597:
| 2.13.19.31 {{monzo| 3 -1 -1 1 }}
| 2.13.19.31 {{monzo| 3 -1 -1 1 }}
|  
|  
|
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|-
|-
| [[280/279]]
| [[280/279]]
Line 2,604: Line 2,604:
| 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }}
| 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }}
|  
|  
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|-
|-
| [[341/340]]
| [[341/340]]
Line 2,611: Line 2,611:
| 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }}
| 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }}
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|  
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|-
|-
| [[342/341]]
| [[342/341]]
Line 2,618: Line 2,618:
| 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }}
| 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }}
|  
|  
|
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|-
|-
| [[435/434]]
| [[435/434]]
Line 2,625: Line 2,625:
| 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }}
| 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }}
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|  
|
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|-
|-
| [[465/464]]
| [[465/464]]
Line 2,632: Line 2,632:
| 2.3.5.29.31 {{monzo| -4 1 1 -1 -1 }}
| 2.3.5.29.31 {{monzo| -4 1 1 -1 -1 }}
|  
|  
|
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|-
|-
| [[496/495]]
| [[496/495]]
Line 2,639: Line 2,639:
| 2.3.5.11.31 {{monzo| 4 -2 -1 -1 1 }}
| 2.3.5.11.31 {{monzo| 4 -2 -1 -1 1 }}
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|-
|-
| [[528/527]]
| [[528/527]]
Line 2,646: Line 2,646:
| 2.3.11.17.31 {{monzo| 4 1 1 -1 -1 }}
| 2.3.11.17.31 {{monzo| 4 1 1 -1 -1 }}
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|
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|-
|-
| [[589/588]]
| [[589/588]]
Line 2,653: Line 2,653:
| 2.3.7.19.31 {{monzo| -2 -1 -2 1 1 }}
| 2.3.7.19.31 {{monzo| -2 -1 -2 1 1 }}
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|  
|
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|-
|-
| [[621/620]]
| [[621/620]]
Line 2,660: Line 2,660:
| 2.3.5.23.31 {{monzo| -2 3 -1 1 -1 }}
| 2.3.5.23.31 {{monzo| -2 3 -1 1 -1 }}
| Owowhatsthisma
| Owowhatsthisma
|
|  
|-
|-
| [[651/650]]
| [[651/650]]
Line 2,667: Line 2,667:
| 2.3.5.7.13.31 {{monzo| -1 1 -2 1 -1 1 }}
| 2.3.5.7.13.31 {{monzo| -1 1 -2 1 -1 1 }}
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|-
|-
| [[714/713]]
| [[714/713]]
Line 2,674: Line 2,674:
| 2.3.7.17.23.31 {{monzo| 1 1 1 1 -1 -1 }}
| 2.3.7.17.23.31 {{monzo| 1 1 1 1 -1 -1 }}
|  
|  
|
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|-
|-
| [[806/805]]
| [[806/805]]
Line 2,681: Line 2,681:
| 2.5.7.13.23.31 {{monzo| 1 -1 -1 1 -1 1 }}
| 2.5.7.13.23.31 {{monzo| 1 -1 -1 1 -1 1 }}
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|  
|
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|-
|-
| [[837/836]]
| [[837/836]]
Line 2,688: Line 2,688:
| 2.3.11.19.31 {{monzo| -2 3 -1 -1 1 }}
| 2.3.11.19.31 {{monzo| -2 3 -1 -1 1 }}
|  
|  
|
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|-
|-
| [[868/867]]
| [[868/867]]
Line 2,695: Line 2,695:
| 2.3.7.17.31 {{monzo| 2 -1 1 -2 1 }}
| 2.3.7.17.31 {{monzo| 2 -1 1 -2 1 }}
|  
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|
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|-  
|-  
| [[900/899]]
| [[900/899]]
Line 2,709: Line 2,709:
| 2.3.5.7.19.31 {{monzo| -1 -1 -1 2 1 -1 }}
| 2.3.5.7.19.31 {{monzo| -1 -1 -1 2 1 -1 }}
|  
|  
|
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|-
|-
| [[961/960]]
| [[961/960]]
Line 2,715: Line 2,715:
| 31<sup>2</sup>/(2<sup>6</sup>×3×5)
| 31<sup>2</sup>/(2<sup>6</sup>×3×5)
| 2.3.5.31 {{monzo| -6 -1 -1 2 }}
| 2.3.5.31 {{monzo| -6 -1 -1 2 }}
|
|  
| S31
| S31
|-  
|-  
Line 2,730: Line 2,730:
| 2.3.13.17.31 {{monzo| 1 -4 -1 1 1 }}
| 2.3.13.17.31 {{monzo| 1 -4 -1 1 1 }}
|  
|  
|
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|-
|-
| [[1210/1209]]
| [[1210/1209]]
Line 2,737: Line 2,737:
| 2.3.5.11.13.31 {{monzo| 1 -1 1 2 -1 -1 }}
| 2.3.5.11.13.31 {{monzo| 1 -1 1 2 -1 -1 }}
|  
|  
|
|  
|-
|-
| [[1365/1364]]
| [[1365/1364]]
Line 2,744: Line 2,744:
| 2.3.5.7.11.13.31 {{monzo| -2 1 1 1 -1 1 -1 }}
| 2.3.5.7.11.13.31 {{monzo| -2 1 1 1 -1 1 -1 }}
|  
|  
|
|  
|-
|-
| [[1426/1425]]
| [[1426/1425]]
Line 2,751: Line 2,751:
| 2.3.5.19.23.31 {{monzo| 1 -1 -2 -1 1 1 }}
| 2.3.5.19.23.31 {{monzo| 1 -1 -2 -1 1 1 }}
|  
|  
|
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|-
|-
| [[1519/1518]]
| [[1519/1518]]
Line 2,758: Line 2,758:
| 2.3.7.11.23.31 {{monzo| -1 -1 2 -1 -1 1 }}
| 2.3.7.11.23.31 {{monzo| -1 -1 2 -1 -1 1 }}
|  
|  
|
|  
|-
|-
| [[1520/1519]]
| [[1520/1519]]
Line 2,765: Line 2,765:
| 2.5.7.19.31 {{monzo| 4 1 -2 1 -1 }}
| 2.5.7.19.31 {{monzo| 4 1 -2 1 -1 }}
|  
|  
|
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|-
|-
| [[1768/1767]]
| [[1768/1767]]
Line 2,772: Line 2,772:
| 2.3.13.17.19.31 {{monzo| 3 -1 1 1 -1 -1 }}
| 2.3.13.17.19.31 {{monzo| 3 -1 1 1 -1 -1 }}
|  
|  
|
|  
|-
|-
| [[1860/1859]]
| [[1860/1859]]
Line 2,779: Line 2,779:
| 2.3.5.11.13.31 {{monzo| 2 1 1 -1 -2 1 }}
| 2.3.5.11.13.31 {{monzo| 2 1 1 -1 -2 1 }}
|  
|  
|
|  
|-
|-
| [[2016/2015]]
| [[2016/2015]]
Line 2,786: Line 2,786:
| 2.3.5.7.13.31 {{monzo| 5 2 -1 1 -1 -1 }}
| 2.3.5.7.13.31 {{monzo| 5 2 -1 1 -1 -1 }}
|  
|  
|
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|-
|-
| [[2233/2232]]
| [[2233/2232]]
Line 2,793: Line 2,793:
| 2.3.7.11.29.31 {{monzo| -3 -2 1 1 1 -1 }}
| 2.3.7.11.29.31 {{monzo| -3 -2 1 1 1 -1 }}
|  
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|
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|-
|-
| [[2945/2944]]
| [[2945/2944]]
Line 2,800: Line 2,800:
| 2.5.19.23.31 {{monzo| -7 1 1 -1 1 }}
| 2.5.19.23.31 {{monzo| -7 1 1 -1 1 }}
|  
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|
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|-
|-
| [[2976/2975]]
| [[2976/2975]]
Line 2,807: Line 2,807:
| 2.3.5.7.17.31 {{monzo| 5 1 -2 -1 -1 1 }}
| 2.3.5.7.17.31 {{monzo| 5 1 -2 -1 -1 1 }}
|  
|  
|
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|-
|-
| [[3565/3564]]
| [[3565/3564]]
Line 2,814: Line 2,814:
| 2.3.5.11.23.31 {{monzo| -2 -4 1 -1 1 1 }}
| 2.3.5.11.23.31 {{monzo| -2 -4 1 -1 1 1 }}
|  
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|
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|-
|-
| [[3751/3750]]
| [[3751/3750]]
Line 2,821: Line 2,821:
| 2.3.5.11.31 {{monzo| -1 -1 -4 2 1 }}
| 2.3.5.11.31 {{monzo| -1 -1 -4 2 1 }}
|  
|  
|
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|-
|-
| [[3876/3875]]
| [[3876/3875]]
Line 2,828: Line 2,828:
| 2.3.5.17.19.31 {{monzo| 2 1 -3 1 1 -1 }}
| 2.3.5.17.19.31 {{monzo| 2 1 -3 1 1 -1 }}
|  
|  
|
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|-
|-
| [[3969/3968]]
| [[3969/3968]]
Line 2,836: Line 2,836:
| Yunzee comma
| Yunzee comma
| S63
| 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 }}
|
|
|-
| [[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 }}
|
|
|-
| [[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 }}
|
|
|-
| [[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 }}
|
|
|-
| [[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 }}
|
|
|-
| [[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 }}
|
|
|-
| [[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 }}
|
| S92
|}
|}


Line 2,852: Line 2,964:
| 2.3.37 {{monzo| -2 -2 1 }}
| 2.3.37 {{monzo| -2 -2 1 }}
| Large tricesimoseptimal 1/4-tone, 37th-partial chroma
| Large tricesimoseptimal 1/4-tone, 37th-partial chroma
|
|  
|-
|-
| [[38/37]]
| [[38/37]]
Line 2,859: Line 2,971:
| 2.19.37 {{monzo| 1 1 -1 }}
| 2.19.37 {{monzo| 1 1 -1 }}
| Small tricesimoseptimal 1/4-tone
| Small tricesimoseptimal 1/4-tone
|
|  
|-
|-
| [[75/74]]
| [[75/74]]
Line 2,866: Line 2,978:
| 2.3.5.37 {{monzo| -1 1 2 -1 }}
| 2.3.5.37 {{monzo| -1 1 2 -1 }}
|  
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|-
|-
| [[111/110]]
| [[111/110]]
Line 2,873: Line 2,985:
| 2.3.5.11.37 {{monzo| -1 1 -1 -1 1 }}
| 2.3.5.11.37 {{monzo| -1 1 -1 -1 1 }}
|  
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|
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|-
|-
| [[112/111]]
| [[112/111]]
Line 2,880: Line 2,992:
| 2.3.7.37 {{monzo| 4 -1 1 -1 }}
| 2.3.7.37 {{monzo| 4 -1 1 -1 }}
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|-
|-
| [[148/147]]
| [[148/147]]
Line 2,887: Line 2,999:
| 2.3.7.37 {{monzo| 2 -1 -2 1 }}
| 2.3.7.37 {{monzo| 2 -1 -2 1 }}
|  
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|-
|-
| [[185/184]]
| [[185/184]]
Line 2,894: Line 3,006:
| 2.5.23.37 {{monzo| -3 1 -1 1 }}
| 2.5.23.37 {{monzo| -3 1 -1 1 }}
|  
|  
|
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|-
|-
| [[186/185]]
| [[186/185]]
Line 2,901: Line 3,013:
| 2.3.5.31.37 {{monzo| 1 1 -1 1 -1 }}
| 2.3.5.31.37 {{monzo| 1 1 -1 1 -1 }}
|  
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|-
|-
| [[222/221]]
| [[222/221]]
Line 2,908: Line 3,020:
| 2.3.13.17.37 {{monzo| 1 1 -1 -1 1 }}
| 2.3.13.17.37 {{monzo| 1 1 -1 -1 1 }}
|  
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|-
|-
| [[260/259]]
| [[260/259]]
Line 2,915: Line 3,027:
| 2.5.7.13.37 {{monzo| 2 1 -1 1 -1 }}
| 2.5.7.13.37 {{monzo| 2 1 -1 1 -1 }}
|  
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|-
|-
| [[297/296]]
| [[297/296]]
Line 2,922: Line 3,034:
| 2.3.11.37 {{monzo| -3 3 1 -1 }}
| 2.3.11.37 {{monzo| -3 3 1 -1 }}
|  
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|
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|-
|-
| [[407/406]]
| [[407/406]]
Line 2,929: Line 3,041:
| 2.7.11.29.37 {{monzo| -1 -1 1 -1 1 }}
| 2.7.11.29.37 {{monzo| -1 -1 1 -1 1 }}
|  
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|-
|-
| [[408/407]]
| [[408/407]]
Line 2,936: Line 3,048:
| 2.3.11.17.37 {{monzo| 3 1 -1 1 -1 }}
| 2.3.11.17.37 {{monzo| 3 1 -1 1 -1 }}
|  
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|-
|-
| [[481/480]]
| [[481/480]]
Line 2,943: Line 3,055:
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| Semaphorisma
| Semaphorisma
|
|
|-
| [[704/703]]
| 2.4609
| (2<sup>6</sup>×11)/(19×37)
| 2.11.19.37 {{monzo| 6 1 -1 -1 }}
| Minimyna
|  
|-
|-
| [[1296/1295]]
| [[1296/1295]]
Line 2,949: Line 3,068:
| (2×3)<sup>4</sup>/(5×7×37)
| (2×3)<sup>4</sup>/(5×7×37)
| 2.3.5.7.37 {{monzo| 4 4 -1 -1 -1 }}
| 2.3.5.7.37 {{monzo| 4 4 -1 -1 -1 }}
|
|  
| S36
| S36
|-
|-
Line 2,956: Line 3,075:
| 37<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×19)
| 37<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×19)
| 2.3.19.37 {{monzo| -3 -2 -1 2 }}
| 2.3.19.37 {{monzo| -3 -2 -1 2 }}
|
|  
| S37
| S37
|-
|-
Line 2,963: Line 3,082:
| (2×19)<sup>2</sup>/(3×13×37)
| (2×19)<sup>2</sup>/(3×13×37)
| 2.3.13.19.37 {{monzo| 2 -1 -1 2 -1 }}
| 2.3.13.19.37 {{monzo| 2 -1 -1 2 -1 }}
|
|  
| S38
| S38
|-
| [[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
|
|-
|-
| [[5292/5291]]
| [[5292/5291]]