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List of superparticular intervals: Difference between revisions

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Line 1,305: Line 1,305:
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| 115/114
| [[115/114]]
| 15.120
| 15.120
| (5×23)/(2×3×19)
| (5×23)/(2×3×19)
Line 1,326: Line 1,326:
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| 208/207
| [[208/207]]
| 8.3433
| 8.3433
| (2<sup>4</sup>×13)/(3<sup>2</sup>×23)
| (2<sup>4</sup>×13)/(3<sup>2</sup>×23)
| {{Monzo| 4 -2 0 0 0 1 0 0 -1 }}
| {{Monzo| 4 -2 0 0 0 1 0 0 -1 }}
|  
| Vicetone comma
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| 231/230
| [[231/230]]
| 7.5108
| 7.5108
| (3×7×11)/(2×5×23)
| (3×7×11)/(2×5×23)
| {{Monzo| -1 1 -1 1 1 0 0 0 -1 }}
| {{Monzo| -1 1 -1 1 1 0 0 0 -1 }}
|  
| Major neutravicema
|
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|-
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| 253/252
| [[253/252]]
| 6.8564
| 6.8564
| (11×23)/((2×3)<sup>2</sup>×7)
| (11×23)/((2×3)<sup>2</sup>×7)
| {{Monzo| -2 -2 0 -1 1 0 0 0 1 }}
| {{Monzo| -2 -2 0 -1 1 0 0 0 1 }}
|  
| Middle neutravicema
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|-
|-
| 276/275
| [[276/275]]
| 6.2840
| 6.2840
| (2<sup>2</sup>×3×23)/(5<sup>2</sup>×11)
| (2<sup>2</sup>×3×23)/(5<sup>2</sup>×11)
| {{Monzo| 2 1 -2 0 -1 0 0 0 1 }}
| {{Monzo| 2 1 -2 0 -1 0 0 0 1 }}
|  
| Minor neutravicema
|
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| 300/299
| [[300/299]]
| 5.7804
| 5.7804
| ((2×5)<sup>2</sup>×3)/(13×23)
| ((2×5)<sup>2</sup>×3)/(13×23)
| {{Monzo| 2 1 2 0 0 -1 0 0 -1 }}
| {{Monzo| 2 1 2 0 0 -1 0 0 -1 }}
|  
| Major naiadvicema
|
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|-
|-
| 323/322
| [[323/322]]
| 5.3682
| 5.3682
| (17×19)/(2×7×23)
| (17×19)/(2×7×23)
| {{Monzo| -1 0 0 -1 0 0 1 1 -1 }}
| {{Monzo| -1 0 0 -1 0 0 1 1 -1 }}
|  
| Major semivicema
|
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|-
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| 391/390
| [[391/390]]
| 4.4334
| 4.4334
| (17×23)/(2×3×5×13)
| (17×23)/(2×3×5×13)
| {{Monzo| -1 -1 -1 0 0 -1 1 0 1 }}
| {{Monzo| -1 -1 -1 0 0 -1 1 0 1 }}
|  
| Minor naiadvicema
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|-
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| 392/391
| [[392/391]]
| 4.4221
| 4.4221
| (2<sup>3</sup>×7<sup>2</sup>)/(17×23)
| (2<sup>3</sup>×7<sup>2</sup>)/(17×23)
| {{Monzo| 3 0 0 2 0 0 -1 0 -1 }}
| {{Monzo| 3 0 0 2 0 0 -1 0 -1 }}
|  
| Minor semivicema
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|-
|-
| 460/459
| [[460/459]]
| 3.7676
| 3.7676
| (2<sup>2</sup>×5×23)/(3<sup>3</sup>×17)
| (2<sup>2</sup>×5×23)/(3<sup>3</sup>×17)
| {{Monzo| 2 -3 1 0 0 0 -1 0 1 }}
| {{Monzo| 2 -3 1 0 0 0 -1 0 1 }}
|  
| Scanisma, vicewolf comma
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|-
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| 484/483
| [[484/483]]
| 3.5806
| 3.5806
| (2×11)<sup>2</sup>/(3×7×23)
| (2×11)<sup>2</sup>/(3×7×23)
| {{Monzo| 2 -1 0 -1 2 0 0 0 -1 }}
| {{Monzo| 2 -1 0 -1 2 0 0 0 -1 }}
|  
| Pittsburghisma
| S22
| S22
|-
|-
| 507/506
| [[507/506]]
| 3.4180
| 3.4180
| (3×13<sup>2</sup>)/(2×11×23)
| (3×13<sup>2</sup>)/(2×11×23)
| {{Monzo| -1 1 0 0 -1 2 0 0 -1 }}
| {{Monzo| -1 1 0 0 -1 2 0 0 -1 }}
|  
| Laodicisma
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|-
|-
| 529/528
| [[529/528]]
| 3.2758
| 3.2758
| 23<sup>2</sup>/(2<sup>4</sup>×3×11)
| 23<sup>2</sup>/(2<sup>4</sup>×3×11)
| {{Monzo| -4 -1 0 0 -1 0 0 0 2 }}
| {{Monzo| -4 -1 0 0 -1 0 0 0 2 }}
|  
| Preziosisma
| S23
| S23
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|-
Line 1,417: Line 1,417:
| S24
| S24
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|-
| 736/735
| [[736/735]]
| 2.3538
| 2.3538
| (2<sup>5</sup>×23)/(3×5×7<sup>2</sup>)
| (2<sup>5</sup>×23)/(3×5×7<sup>2</sup>)
| {{Monzo| 5 -1 -1 -2 0 0 0 0 1 }}
| {{Monzo| 5 -1 -1 -2 0 0 0 0 1 }}
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| Harvardisma
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|-
|-
| 760/759
| [[760/759]]
| 2.2794
| 2.2794
| (2<sup>3</sup>×5×19)/(3×11×23)
| (2<sup>3</sup>×5×19)/(3×11×23)
| {{Monzo| 3 -1 1 0 -1 0 0 1 -1 }}
| {{Monzo| 3 -1 1 0 -1 0 0 1 -1 }}
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| Squadronisma
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|-
|-
| 875/874
| [[875/874]]
| 1.9797
| 1.9797
| (5<sup>3</sup>×7)/(2×19×23)
| (5<sup>3</sup>×7)/(2×19×23)
| {{Monzo| -1 0 3 1 0 0 0 -1 -1 }}
| {{Monzo| -1 0 3 1 0 0 0 -1 -1 }}
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| Nymphisma
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| 897/896
| [[897/896]]
| 1.9311
| 1.9311
| (3×13×23)/(2<sup>7</sup>×7)
| (3×13×23)/(2<sup>7</sup>×7)
| {{Monzo| -7 1 0 -1 0 1 0 0 1 }}
| {{Monzo| -7 1 0 -1 0 1 0 0 1 }}
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| Lysistratisma
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|-
|-
| 1105/1104
| [[1105/1104]]
| 1.5674
| 1.5674
| (5×13×17)/(2<sup>4</sup>×3×23)
| (5×13×17)/(2<sup>4</sup>×3×23)
| {{Monzo| -4 -1 1 0 0 1 1 0 -1 }}
| {{Monzo| -4 -1 1 0 0 1 1 0 -1 }}
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| Fragarisma
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|-
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| 1197/1196
| [[1197/1196]]
| 1.4469
| 1.4469
| (3<sup>2</sup>×17×19)/(2<sup>2</sup>×13×23)
| (3<sup>2</sup>×17×19)/(2<sup>2</sup>×13×23)
| {{Monzo| -2 2 0 0 0 -1 1 1 -1 }}
| {{Monzo| -2 2 0 0 0 -1 1 1 -1 }}
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| Rhodesisma
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| 1288/1287
| [[1288/1287]]
| 1.3446
| 1.3446
| (2<sup>3</sup>×7×23)/(3<sup>2</sup>×11×13)
| (2<sup>3</sup>×7×23)/(3<sup>2</sup>×11×13)
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
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| Santisma
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| 1496/1495
| [[1496/1495]]
| 1.1576
| 1.1576
| (2<sup>3</sup>×11×17)/(5×13×23)
| (2<sup>3</sup>×11×17)/(5×13×23)
| {{Monzo| 3 0 -1 0 1 -1 1 0 -1 }}
| {{Monzo| 3 0 -1 0 1 -1 1 0 -1 }}
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| Turkisma
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| 1863/1862
| [[1863/1862]]
| 0.92952
| 0.92952
| (3<sup>4</sup>×23)/(2×7<sup>2</sup>×19)
| (3<sup>4</sup>×23)/(2×7<sup>2</sup>×19)
| {{Monzo| -1 4 0 -2 0 0 0 -1 1 }}
| {{Monzo| -1 4 0 -2 0 0 0 -1 1 }}
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| Antinousisma
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| 2024/2023
| [[2024/2023]]
| 0.85556
| 0.85556
| (2<sup>3</sup>×11×23)/(7×17<sup>2</sup>)
| (2<sup>3</sup>×11×23)/(7×17<sup>2</sup>)
| {{Monzo| 3 0 0 -1 1 0 -2 0 1 }}
| {{Monzo| 3 0 0 -1 1 0 -2 0 1 }}
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| Insincere comma
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|-
|-
| 2025/2024
| [[2025/2024]]
| 0.85514
| 0.85514
| (3<sup>2</sup>×5)<sup>2</sup>/(2<sup>3</sup>×11×23)
| (3<sup>2</sup>×5)<sup>2</sup>/(2<sup>3</sup>×11×23)
| {{Monzo| -3 4 2 0 -1 0 0 0 -1 }}
| {{Monzo| -3 4 2 0 -1 0 0 0 -1 }}
|  
| Fokkerisma
| S45
| S45
|-
|-
| 2185/2184
| [[2185/2184]]
| 0.79251
| 0.79251
| (5×19×23)/(2<sup>3</sup>×3×7×13)
| (5×19×23)/(2<sup>3</sup>×3×7×13)
| {{Monzo| -3 -1 1 -1 0 -1 0 1 1 }}
| {{Monzo| -3 -1 1 -1 0 -1 0 1 1 }}
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| Guangdongisma
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|-
|-
| 2300/2299
| [[2300/2299]]
| 0.75287
| 0.75287
| (2<sup>2</sup>×5<sup>2</sup>×23)/(11<sup>2</sup>×19)
| (2<sup>2</sup>×5<sup>2</sup>×23)/(11<sup>2</sup>×19)
| {{Monzo| 2 0 2 0 -2 0 0 -1 1 }}
| {{Monzo| 2 0 2 0 -2 0 0 -1 1 }}
|  
| Travellisma
|  
|  
|-
|-
| 2646/2645
| [[2646/2645]]
| 0.65441
| 0.65441
| (2×3<sup>3</sup>×7<sup>2</sup>)/(5×23<sup>2</sup>)
| (2×3<sup>3</sup>×7<sup>2</sup>)/(5×23<sup>2</sup>)
| {{Monzo| 1 3 -1 2 0 0 0 0 -2 }}
| {{Monzo| 1 3 -1 2 0 0 0 0 -2 }}
|  
| Biyativice comma
|  
|  
|-
|-
| 2737/2736
| [[2737/2736]]
| 0.63265
| 0.63265
| (7×17×23)/(2<sup>4</sup>×3<sup>2</sup>×19)
| (7×17×23)/(2<sup>4</sup>×3<sup>2</sup>×19)
| {{Monzo| -4 -2 0 1 0 0 1 -1 1 }}
| {{Monzo| -4 -2 0 1 0 0 1 -1 1 }}
|  
| Kotkisma
|  
|  
|-
|-
| 3060/3059
| [[3060/3059]]
| 0.56586
| 0.56586
| (2<sup>2</sup>×3<sup>2</sup>×5×17)/(7×19×23)
| (2<sup>2</sup>×3<sup>2</sup>×5×17)/(7×19×23)
| {{Monzo| 2 2 1 -1 0 0 1 -1 -1 }}
| {{Monzo| 2 2 1 -1 0 0 1 -1 -1 }}
|  
| Vicious comma
|  
|  
|-
|-
| 3381/3380
| [[3381/3380]]
| 0.51212
| 0.51212
| (3×7<sup>2</sup>×23)/(2<sup>2</sup>×5×13<sup>2</sup>)
| (3×7<sup>2</sup>×23)/(2<sup>2</sup>×5×13<sup>2</sup>)
| {{Monzo| -2 1 -1 2 0 -2 0 0 1 }}
| {{Monzo| -2 1 -1 2 0 -2 0 0 1 }}
|  
| Seminaiadvice comma
|  
|  
|-
|-
| 3520/3519
| [[3520/3519]]
| 0.49190
| 0.49190
| (2<sup>6</sup>×5×11)/(3<sup>2</sup>×17×23)
| (2<sup>6</sup>×5×11)/(3<sup>2</sup>×17×23)
| {{Monzo| 6 -2 1 0 1 0 -1 0 -1 }}
| {{Monzo| 6 -2 1 0 1 0 -1 0 -1 }}
|  
| Vicedim comma
|  
|  
|-
|-
| 3888/3887
| [[3888/3887]]
| 0.44533
| 0.44533
| (2<sup>4</sup>×3<sup>5</sup>)/(13<sup>2</sup>×23)
| (2<sup>4</sup>×3<sup>5</sup>)/(13<sup>2</sup>×23)
| {{Monzo| 4 5 0 0 0 -2 0 0 -1 }}
| {{Monzo| 4 5 0 0 0 -2 0 0 -1 }}
|  
| Vicetride comma
|  
|  
|-
|-
| 4693/4692
| [[4693/4692]]
| 0.36893
| 0.36893
| (13×19<sup>2</sup>)/(2<sup>2</sup>×3×17×23)
| (13×19<sup>2</sup>)/(2<sup>2</sup>×3×17×23)
| {{Monzo| -2 -1 0 0 0 1 -1 2 -1 }}
| {{Monzo| -2 -1 0 0 0 1 -1 2 -1 }}
|  
| Viceaug comma
|  
|  
|-
|-
| 4761/4760
| [[4761/4760]]
| 0.36367
| 0.36367
| (3×23)<sup>2</sup>/(2<sup>3</sup>×5×7×17)
| (3×23)<sup>2</sup>/(2<sup>3</sup>×5×7×17)
| {{Monzo| -3 2 -1 -1 0 0 -1 0 2 }}
| {{Monzo| -3 2 -1 -1 0 0 -1 0 2 }}
|  
| Demiquartervice comma
| S69
| S69
|-
|-
| 5083/5082
| [[5083/5082]]
| 0.34063
| 0.34063
| (13×17×23)/(2×3×7×11<sup>2</sup>)
| (13×17×23)/(2×3×7×11<sup>2</sup>)
| {{Monzo| -1 -1 0 -1 -2 1 1 0 1 }}
| {{Monzo| -1 -1 0 -1 -2 1 1 0 1 }}
|  
| Broadviewsma
|  
|  
|-
|-
Line 1,613: Line 1,613:
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|  
|-
|-
| 12168/12167
| [[12168/12167]]
| 0.14228
| 0.14228
| (2<sup>3</sup>×3<sup>2</sup>×13<sup>2</sup>)/23<sup>3</sup>
| (2<sup>3</sup>×3<sup>2</sup>×13<sup>2</sup>)/23<sup>3</sup>
| {{Monzo| 3 2 0 0 0 2 0 0 -3 }}
| {{Monzo| 3 2 0 0 0 2 0 0 -3 }}
|  
| Vicetertisma
|  
|  
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