List of superparticular intervals: Difference between revisions

Update; -"after octave reduction" for 2/1 since it's irrelevant
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__FORCETOC__
This is a list of [[superparticular]] [[interval]]s ordered by [[prime limit]]. It reaches to the 101-limit and is complete up to the [[29-limit]].
This is a list of [[superparticular]] [[interval]]s ordered by [[prime limit]]. It reaches to the 101-limit and is complete up to the [[29-limit]].


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| 154/153
| [[154/153]]
| 11.278
| 11.278
| (2×7×11)/(3<sup>2</sup>×17)
| (2×7×11)/(3<sup>2</sup>×17)
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| 2<sup>8</sup>/(3×5×17)
| 2<sup>8</sup>/(3×5×17)
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| Septendecimal kleisma, octave-reduced 255th subharmonic
| Septendecimal kleisma, diasemisma, octave-reduced 255th subharmonic
| S16
| S16
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| [[194481/194480]]
| [[Scintillisma|194481/194480]]
| 0.008902
| 0.008902
| (3×7)<sup>4</sup>/(2<sup>4</sup>×5×11×13×17)
| (3×7)<sup>4</sup>/(2<sup>4</sup>×5×11×13×17)
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| (3<sup>2</sup>×19)/(2×5×17)
| (3<sup>2</sup>×19)/(2×5×17)
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
|  
| Malcolmisma
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| 190/189
| [[190/189]]
| 9.1358
| 9.1358
| (2×5×19)/(3<sup>3</sup>×7)
| (2×5×19)/(3<sup>3</sup>×7)
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
|  
| Cotylisma
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| (2×3<sup>2</sup>)<sup>2</sup>/(17×19)
| (2×3<sup>2</sup>)<sup>2</sup>/(17×19)
| {{Monzo| 2 4 0 0 0 0 -1 -1 }}
| {{Monzo| 2 4 0 0 0 0 -1 -1 }}
| Nusu comma
| Photisma
| S18
| S18
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| 343/342
| [[343/342]]
| 5.0547
| 5.0547
| 7<sup>3</sup>/(2×3<sup>2</sup>×19)
| 7<sup>3</sup>/(2×3<sup>2</sup>×19)
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
|  
| Nutrisma
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| S19
| S19
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| 400/399
| [[400/399]]
| 4.3335
| 4.3335
| (2<sup>2</sup>×5)<sup>2</sup>/(3×7×19)
| (2<sup>2</sup>×5)<sup>2</sup>/(3×7×19)
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
|  
| Devichroma
| S20
| S20
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| 633556/633555
| [[Devicisma|633556/633555]]
| 0.002733
| 0.002733
| (2<sup>2</sup>×7×11<sup>3</sup>×17)/(3<sup>3</sup>×5×13×19<sup>2</sup>)
| (2<sup>2</sup>×7×11<sup>3</sup>×17)/(3<sup>3</sup>×5×13×19<sup>2</sup>)
| {{Monzo| 2 -3 -1 1 3 -1 1 -2 }}
| {{Monzo| 2 -3 -1 1 3 -1 1 -2 }}
|  
| Devicisma
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