List of superparticular intervals: Difference between revisions
Update; -"after octave reduction" for 2/1 since it's irrelevant |
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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 | ||
| | | | ||
|- | |- | ||
| 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 }} | ||
| | | Photisma | ||
| S18 | | S18 | ||
|- | |- | ||
| 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 | ||
|- | |- | ||
| 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 | ||
| | | | ||
|- | |- |