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List of superparticular intervals: Difference between revisions

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autopatrolled, emailconfirmed
4,516 edits
Tags: Mobile edit Mobile web edit
Line 1,044: Line 1,044:
|-
|-
| [[2376/2375]]
| [[2376/2375]]
| 0.7288
| 0.72879
| (2<sup>3</sup>×3<sup>3</sup>×11)/(5<sup>3</sup>×19)
| (2<sup>3</sup>×3<sup>3</sup>×11)/(5<sup>3</sup>×19)
| {{Monzo| 3 3 -3 0 1 0 0 -1 }}
| {{Monzo| 3 3 -3 0 1 0 0 -1 }}
Line 1,051: Line 1,051:
|-
|-
| [[2432/2431]]
| [[2432/2431]]
| 0.7120
| 0.71200
| (2<sup>7</sup>×19)/(11×13×17)
| (2<sup>7</sup>×19)/(11×13×17)
| {{Monzo| 7 0 0 0 -1 -1 -1 1 }}
| {{Monzo| 7 0 0 0 -1 -1 -1 1 }}
Line 1,058: Line 1,058:
|-
|-
| [[2926/2925]]
| [[2926/2925]]
| 0.5918
| 0.59177
| (2×7×11×19)/(3<sup>2</sup>×5<sup>2</sup>×13)
| (2×7×11×19)/(3<sup>2</sup>×5<sup>2</sup>×13)
| {{Monzo| 1 -2 -2 1 1 -1 0 1 }}
| {{Monzo| 1 -2 -2 1 1 -1 0 1 }}
| Neovulture comma
| Neovulture comma, neovulturisma
|
|
|-
|-
| [[3136/3135]]
| [[3136/3135]]
| 0.5521
| 0.55214
| (2<sup>3</sup>×7)<sup>2</sup>/(3×5×11×19)
| (2<sup>3</sup>×7)<sup>2</sup>/(3×5×11×19)
| {{Monzo| 6 -1 -1 2 -1 0 0 -1 }}
| {{Monzo| 6 -1 -1 2 -1 0 0 -1 }}
Line 1,072: Line 1,072:
|-
|-
| [[3250/3249]]
| [[3250/3249]]
| 0.5328
| 0.53277
| (2×5<sup>3</sup>×13)/(3×19)<sup>2</sup>
| (2×5<sup>3</sup>×13)/(3×19)<sup>2</sup>
| {{Monzo| 1 -2 3 0 0 1 0 -2 }}
| {{Monzo| 1 -2 3 0 0 1 0 -2 }}
Line 1,079: Line 1,079:
|-
|-
| [[4200/4199]]
| [[4200/4199]]
| 0.4123
| 0.41225
| (2<sup>3</sup>×3×5<sup>2</sup>×7)/(13×17×19)
| (2<sup>3</sup>×3×5<sup>2</sup>×7)/(13×17×19)
| {{Monzo| 3 1 2 1 0 -1 -1 -1 }}
| {{Monzo| 3 1 2 1 0 -1 -1 -1 }}
Line 1,086: Line 1,086:
|-
|-
| [[5776/5775]]
| [[5776/5775]]
| 0.2998
| 0.29975
| (2<sup>2</sup>×19)<sup>2</sup>/(3×5<sup>2</sup>×7×11)
| (2<sup>2</sup>×19)<sup>2</sup>/(3×5<sup>2</sup>×7×11)
| {{Monzo| 4 -1 -2 -1 -1 0 0 2 }}
| {{Monzo| 4 -1 -2 -1 -1 0 0 2 }}
| Neovish comma
| Neovish comma, neovishma
| S76
| S76
|-
|-
| 5929/5928
| 5929/5928
| 0.2920
| 0.29202
| (7×11)<sup>2</sup>/(2<sup>3</sup>×3×13×19)
| (7×11)<sup>2</sup>/(2<sup>3</sup>×3×13×19)
| {{Monzo| -3 -1 0 2 2 -1 0 -1 }}
| {{Monzo| -3 -1 0 2 2 -1 0 -1 }}
Line 1,100: Line 1,100:
|-
|-
| [[5985/5984]]
| [[5985/5984]]
| 0.2893
| 0.28929
| (3<sup>2</sup>×5×7×19)/(2<sup>5</sup>×11×17)
| (3<sup>2</sup>×5×7×19)/(2<sup>5</sup>×11×17)
| {{Monzo| -5 2 1 1 -1 0 -1 1 }}
| {{Monzo| -5 2 1 1 -1 0 -1 1 }}
Line 1,107: Line 1,107:
|-
|-
| [[6175/6174]]
| [[6175/6174]]
| 0.2804
| 0.28038
| (5<sup>2</sup>×13×19)/(2×3<sup>2</sup>×7<sup>3</sup>)
| (5<sup>2</sup>×13×19)/(2×3<sup>2</sup>×7<sup>3</sup>)
| {{Monzo| -1 -2 2 -3 0 1 0 1 }}
| {{Monzo| -1 -2 2 -3 0 1 0 1 }}
Line 1,114: Line 1,114:
|-
|-
| 6860/6859
| 6860/6859
| 0.2524
| 0.25238
| (2<sup>2</sup>×5×7<sup>3</sup>)/19<sup>3</sup>
| (2<sup>2</sup>×5×7<sup>3</sup>)/19<sup>3</sup>
| {{Monzo| 2 0 1 3 0 0 0 -3 }}
| {{Monzo| 2 0 1 3 0 0 0 -3 }}
Line 1,121: Line 1,121:
|-
|-
| 10241/10240
| 10241/10240
| 0.1691
| 0.16906
| (7<sup>2</sup>×11×19)/(2<sup>11</sup>×5)
| (7<sup>2</sup>×11×19)/(2<sup>11</sup>×5)
| {{Monzo| -11 0 -1 2 1 0 0 1 }}
| {{Monzo| -11 0 -1 2 1 0 0 1 }}
Line 1,128: Line 1,128:
|-
|-
| 10830/10829
| 10830/10829
| 0.1599
| 0.15986
| (2×3×5×19<sup>2</sup>)/(7<sup>2</sup>×13×17)
| (2×3×5×19<sup>2</sup>)/(7<sup>2</sup>×13×17)
| {{Monzo| 1 1 1 -2 0 -1 -1 2 }}
| {{Monzo| 1 1 1 -2 0 -1 -1 2 }}
Line 1,135: Line 1,135:
|-
|-
| 12636/12635
| 12636/12635
| 0.1370
| 0.13701
| (2<sup>2</sup>×3<sup>5</sup>×13)/(5×7×19<sup>2</sup>)
| (2<sup>2</sup>×3<sup>5</sup>×13)/(5×7×19<sup>2</sup>)
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
Line 1,142: Line 1,142:
|-
|-
| 13377/13376
| 13377/13376
| 0.1294
| 0.12942
| (3×7<sup>3</sup>×13)/(2<sup>6</sup>×11×19)
| (3×7<sup>3</sup>×13)/(2<sup>6</sup>×11×19)
| {{Monzo| -6 1 0 3 -1 1 0 -1 }}
| {{Monzo| -6 1 0 3 -1 1 0 -1 }}
Line 1,149: Line 1,149:
|-
|-
| 14080/14079
| 14080/14079
| 0.1230
| 0.12296
| (2<sup>8</sup>×5×11)/(3×13×19<sup>2</sup>)
| (2<sup>8</sup>×5×11)/(3×13×19<sup>2</sup>)
| {{Monzo| 8 -1 1 0 1 -1 0 -2 }}
| {{Monzo| 8 -1 1 0 1 -1 0 -2 }}
Line 1,156: Line 1,156:
|-
|-
| 14365/14364
| 14365/14364
| 0.1205
| 0.12052
| (5×13<sup>2</sup>×17)/(2<sup>2</sup>×3<sup>3</sup>×7×19)
| (5×13<sup>2</sup>×17)/(2<sup>2</sup>×3<sup>3</sup>×7×19)
| {{Monzo| -2 -3 1 -1 0 2 1 -1 }}
| {{Monzo| -2 -3 1 -1 0 2 1 -1 }}
Line 1,163: Line 1,163:
|-
|-
| 23409/23408
| 23409/23408
| 0.07396
| 0.073957
| (3<sup>2</sup>×17)<sup>2</sup>/(2<sup>4</sup>×7×11×19)
| (3<sup>2</sup>×17)<sup>2</sup>/(2<sup>4</sup>×7×11×19)
| {{Monzo| -4 4 0 -1 -1 0 1 -1 }}
| {{Monzo| -4 4 0 -1 -1 0 1 -1 }}
Line 1,170: Line 1,170:
|-
|-
| 27456/27455
| 27456/27455
| 0.06306
| 0.063056
| (2<sup>6</sup>×3×11)/(5×17<sup>2</sup>×19)
| (2<sup>6</sup>×3×11)/(5×17<sup>2</sup>×19)
| {{Monzo| 6 1 -1 0 1 0 -2 -1 }}
| {{Monzo| 6 1 -1 0 1 0 -2 -1 }}
Line 1,177: Line 1,177:
|-
|-
| 28900/28899
| 28900/28899
| 0.05991
| 0.059905
| (2×5×17)<sup>2</sup>/(3<sup>2</sup>×13<sup>2</sup>×19)
| (2×5×17)<sup>2</sup>/(3<sup>2</sup>×13<sup>2</sup>×19)
| {{Monzo| 2 -2 2 0 0 -2 2 -1 }}
| {{Monzo| 2 -2 2 0 0 -2 2 -1 }}
Line 1,184: Line 1,184:
|-
|-
| 43681/43680
| 43681/43680
| 0.03963
| 0.039634
| (11×19)<sup>2</sup>/(2<sup>5</sup>×3×5×7×13)
| (11×19)<sup>2</sup>/(2<sup>5</sup>×3×5×7×13)
| {{Monzo| -5 -1 -1 -1 2 -1 0 2 }}
| {{Monzo| -5 -1 -1 -1 2 -1 0 2 }}
Line 1,191: Line 1,191:
|-
|-
| 89376/89375
| 89376/89375
| 0.01937
| 0.019370
| (2<sup>5</sup>×3×7<sup>2</sup>×19)/(5<sup>4</sup>×11×13)
| (2<sup>5</sup>×3×7<sup>2</sup>×19)/(5<sup>4</sup>×11×13)
| {{Monzo| 5 1 -4 2 -1 -1 0 1 }}
| {{Monzo| 5 1 -4 2 -1 -1 0 1 }}
Line 1,198: Line 1,198:
|-
|-
| 104976/104975
| 104976/104975
| 0.01649
| 0.016492
| (2×3<sup>2</sup>)<sup>4</sup>/(5<sup>2</sup>×13×17×19)
| (2×3<sup>2</sup>)<sup>4</sup>/(5<sup>2</sup>×13×17×19)
| {{Monzo| 4 8 -2 0 0 0 -1 -1 -1 }}
| {{Monzo| 4 8 -2 0 0 0 -1 -1 -1 }}
Line 1,205: Line 1,205:
|-
|-
| [[Decimillisma|165376/165375]]
| [[Decimillisma|165376/165375]]
| 0.01047
| 0.010469
| (2<sup>9</sup>×17×19)/(3<sup>3</sup>×5<sup>3</sup>×7<sup>2</sup>)
| (2<sup>9</sup>×17×19)/(3<sup>3</sup>×5<sup>3</sup>×7<sup>2</sup>)
| {{Monzo| 9 -3 -3 -2 0 0 1 1 }}
| {{Monzo| 9 -3 -3 -2 0 0 1 1 }}
Line 1,212: Line 1,212:
|-
|-
| 228096/228095
| 228096/228095
| 0.007590
| 0.0075900
| (2<sup>8</sup>×3<sup>4</sup>×11)/(5×7<sup>4</sup>×19)
| (2<sup>8</sup>×3<sup>4</sup>×11)/(5×7<sup>4</sup>×19)
| {{Monzo| 8 4 -1 -4 1 0 0 -1 }}
| {{Monzo| 8 4 -1 -4 1 0 0 -1 }}
Line 1,219: Line 1,219:
|-
|-
| 601426/601425
| 601426/601425
| 0.002879
| 0.0028786
| (2×7<sup>2</sup>×17×19<sup>2</sup>)/(3<sup>7</sup>×5<sup>2</sup>×11)
| (2×7<sup>2</sup>×17×19<sup>2</sup>)/(3<sup>7</sup>×5<sup>2</sup>×11)
| {{Monzo| 1 -7 -2 2 -1 0 1 2 }}
| {{Monzo| 1 -7 -2 2 -1 0 1 2 }}
Line 1,226: Line 1,226:
|-
|-
| [[Devicisma|633556/633555]]
| [[Devicisma|633556/633555]]
| 0.002733
| 0.0027326
| (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 }}
Line 1,233: Line 1,233:
|-
|-
| 709632/709631
| 709632/709631
| 0.002440
| 0.0024396
| (2<sup>10</sup>×3<sup>2</sup>×7×11)/(13<sup>3</sup>×17×19)
| (2<sup>10</sup>×3<sup>2</sup>×7×11)/(13<sup>3</sup>×17×19)
| {{Monzo| 10 2 0 1 1 -3 -1 -1 }}
| {{Monzo| 10 2 0 1 1 -3 -1 -1 }}
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