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List of superparticular intervals: Difference between revisions

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Line 48: Line 48:
| 203.910
| 203.910
| 3<sup>2</sup>/2<sup>3</sup>
| 3<sup>2</sup>/2<sup>3</sup>
| {{monzo|-3 2}}
| {{monzo| -3 2 }}
| Pythagorean whole tone, Pythagorean major second, <br>major whole tone, octave-reduced 9th harmonic, harmonic ninth
| Pythagorean whole tone, Pythagorean major second, <br>major whole tone, octave-reduced 9th harmonic, harmonic ninth
| S3
| S3
Line 315: Line 315:
| [[540/539]]
| [[540/539]]
| 3.2090
| 3.2090
| (2/7)<sup>2</sup>×(3<sup>3</sup>×5)/11
| (2/7)<sup>2</sup>×((3<sup>3</sup>×5)/11)
| {{Monzo| 2 3 1 -2 -1 }}
| {{Monzo| 2 3 1 -2 -1 }}
| Swetisma, Swets' comma
| Swetisma, Swets' comma
Line 329: Line 329:
| [[9801/9800]]
| [[9801/9800]]
| 0.17665
| 0.17665
| (11/(5×7))<sup>2</sup>×3<sup>4</sup>/2<sup>3</sup>
| ((3<sup>2</sup>×11)/(5×7))<sup>2</sup>/2<sup>3</sup>
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
| Kalisma, Gauss comma
| Kalisma, Gauss comma
Line 437: Line 437:
| [[325/324]]
| [[325/324]]
| 5.3351
| 5.3351
| (5<sup>2</sup>×13)/(2<sup>2</sup>×3<sup>4</sup>)
| (5/(2×3<sup>2</sup>))<sup>2</sup>×13
| {{Monzo| -2 -4 2 0 0 1 }}
| {{Monzo| -2 -4 2 0 0 1 }}
| Marveltwin comma
| Marveltwin comma
Line 458: Line 458:
| [[364/363]]
| [[364/363]]
| 4.7627
| 4.7627
| (2/11)<sup>2</sup>×(7×13)/3
| (2/11)<sup>2</sup>×((7×13)/3)
| {{Monzo| 2 -1 0 1 -2 1 }}
| {{Monzo| 2 -1 0 1 -2 1 }}
| Minor minthma, minor gentle comma
| Minor minthma, minor gentle comma
Line 608: Line 608:
| [[136/135]]
| [[136/135]]
| 12.777
| 12.777
| (2/3)<sup>3</sup>×17/5
| (2/3)<sup>3</sup>×(17/5)
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| Diatisma, septendecimal major second comma
| Diatisma, septendecimal major second comma
Line 797: Line 797:
| [[28561/28560]]
| [[28561/28560]]
| 0.060616
| 0.060616
| 13<sup>4</sup>/(2<sup>4</sup>×3×5×7×17)
| (13/2)<sup>4</sup>/(3×5×7×17)
| {{Monzo| -4 -1 -1 -1 0 4 -1 }}
| {{Monzo| -4 -1 -1 -1 0 4 -1 }}
| Pisanoisma
| Pisanoisma
Line 1,816: Line 1,816:
| (2<sup>3</sup>×11)/(3×29)
| (2<sup>3</sup>×11)/(3×29)
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| Vicesimononal 1/10-tone, farewell comma <ref>(from 88 being used for "bye bye" in Mandarin Chinese)</ref>
| Vicesimononal 1/10-tone, farewell comma
|  
|  
|-
|-
Line 1,941: Line 1,941:
| 2.2124
| 2.2124
| (3<sup>3</sup>×29)/(2×17×23)
| (3<sup>3</sup>×29)/(2×17×23)
| 2.3.17.23.29 {{monzo|-1 3 -1 -1 1}}
| 2.3.17.23.29 {{monzo| -1 3 -1 -1 1 }}
| Norisma
| Norisma
|  
|  
|-  
|-
| [[784/783]]
| [[784/783]]
| 2.2096
| 2.2096
Line 1,951: Line 1,951:
| Biminorisma, Spoogalactic comma
| Biminorisma, Spoogalactic comma
| S28
| S28
|-  
|-
| [[841/840]]
| [[841/840]]
| 2.0598
| 2.0598
Line 1,962: Line 1,962:
| 1.7065
| 1.7065
| (5×7×29)/(2×3×13<sup>2</sup>)
| (5×7×29)/(2×3×13<sup>2</sup>)
| 2.3.5.7.13.29 {{monzo|-1 -1 1 1 -2 1}}
| 2.3.5.7.13.29 {{monzo| -1 -1 1 1 -2 1 }}
| Christisma
| Christisma
|  
|  
Line 1,969: Line 1,969:
| 1.6575
| 1.6575
| (5×11×19)/((2×3)<sup>2</sup>×29)
| (5×11×19)/((2×3)<sup>2</sup>×29)
| 2.3.5.11.19.29 {{monzo|-2 -2 1 1 1 -1}}
| 2.3.5.11.19.29 {{monzo| -2 -2 1 1 1 -1 }}
| Michelisma
| Michelisma
|  
|  
Line 1,976: Line 1,976:
| 1.3573
| 1.3573
| (2<sup>2</sup>×11×29)/(3×5<sup>2</sup>×17)
| (2<sup>2</sup>×11×29)/(3×5<sup>2</sup>×17)
| 2.3.5.11.17.29 {{monzo|2 -1 -2 1 -1 1}}
| 2.3.5.11.17.29 {{monzo| 2 -1 -2 1 -1 1 }}
| Ucclisma
| Ucclisma
|  
|  
Line 1,983: Line 1,983:
| 1.1944
| 1.1944
| (2×5<sup>2</sup>×29)/(3<sup>2</sup>×7×23)
| (2×5<sup>2</sup>×29)/(3<sup>2</sup>×7×23)
| 2.3.5.7.23.29 {{monzo|1 -2 2 -1 -1 1}}
| 2.3.5.7.23.29 {{monzo| 1 -2 2 -1 -1 1 }}
| Raimondisma
| Raimondisma
|  
|  
Line 1,990: Line 1,990:
| 1.0851
| 1.0851
| (2<sup>2</sup>×3×7×19)/(5×11×29)
| (2<sup>2</sup>×3×7×19)/(5×11×29)
| 2.3.5.7.11.19.29 {{monzo|2 1 -1 1 -1 1 -1}}
| 2.3.5.7.11.19.29 {{monzo| 2 1 -1 1 -1 1 -1 }}
| Itzigsohnisma
| Itzigsohnisma
|  
|  
Line 1,997: Line 1,997:
| 1.0657
| 1.0657
| (5<sup>3</sup>×13)/(2<sup>3</sup>×7×29)
| (5<sup>3</sup>×13)/(2<sup>3</sup>×7×29)
| 2.5.7.13.29 {{monzo|-3 3 -1 1 -1}}
| 2.5.7.13.29 {{monzo| -3 3 -1 1 -1 }}
| Norcma
| Norcma
|  
|  
Line 2,004: Line 2,004:
| 1.0290
| 1.0290
| (3<sup>2</sup>×11×17)/(2×29<sup>2</sup>)
| (3<sup>2</sup>×11×17)/(2×29<sup>2</sup>)
| 2.3.11.17.29 {{monzo|-1 2 1 1 -2}}
| 2.3.11.17.29 {{monzo| -1 2 1 1 -2 }}
| Castafiorisma
| Castafiorisma
|  
|  
Line 2,011: Line 2,011:
| 0.86540
| 0.86540
| (3×23×29)/(2<sup>4</sup>×5<sup>3</sup>)
| (3×23×29)/(2<sup>4</sup>×5<sup>3</sup>)
| 2.3.5.23.29 {{monzo|-4 1 -3 1 1}}
| 2.3.5.23.29 {{monzo| -4 1 -3 1 1 }}
|  
|  
|  
|  
Line 2,018: Line 2,018:
| 0.86497
| 0.86497
| (2×7×11×13)/(3×23×29)
| (2×7×11×13)/(3×23×29)
| 2.3.7.11.13.23.29 {{monzo|1 -1 1 1 1 -1 -1}}
| 2.3.7.11.13.23.29 {{monzo| 1 -1 1 1 1 -1 -1 }}
|  
|  
|  
|  
Line 2,025: Line 2,025:
| 0.79579
| 0.79579
| (2<sup>7</sup>×17)/(3×5<sup>2</sup>×29)
| (2<sup>7</sup>×17)/(3×5<sup>2</sup>×29)
| 2.3.5.17.29 {{monzo|7 -1 -2 1 -1}}
| 2.3.5.17.29 {{monzo| 7 -1 -2 1 -1 }}
| Donarisma
| Donarisma
|  
|  
Line 2,031: Line 2,031:
| [[2205/2204]]
| [[2205/2204]]
| 0.78532
| 0.78532
| ((3×7)<sup>2</sup>×5)/(2<sup>2</sup>×19×29)
| ((3×7)/2)<sup>2</sup>×(5/(19×29))
| 2.3.5.7.19.29 {{monzo|-2 2 1 2 -1 -1}}
| 2.3.5.7.19.29 {{monzo| -2 2 1 2 -1 -1 }}
| Glinkisma
| Glinkisma
|  
|  
Line 2,039: Line 2,039:
| 0.76552
| 0.76552
| (2×3×13×29)/(7×17×19)
| (2×3×13×29)/(7×17×19)
| 2.3.7.13.17.19.29 {{monzo|1 1 -1 1 -1 -1 1}}
| 2.3.7.13.17.19.29 {{monzo| 1 1 -1 1 -1 -1 1 }}
| Mitidikisma
| Mitidikisma
|  
|  
Line 2,046: Line 2,046:
| 0.70247
| 0.70247
| (5×17×29)/(2<sup>5</sup>×7×11)
| (5×17×29)/(2<sup>5</sup>×7×11)
| 2.5.7.11.17.29 {{monzo|-5 1 -1 -1 1 1}}
| 2.5.7.11.17.29 {{monzo| -5 1 -1 -1 1 1 }}
|  
|  
|  
|  
Line 2,053: Line 2,053:
| 0.65589
| 0.65589
| (2<sup>4</sup>×3×5×11)/(7×13×29)
| (2<sup>4</sup>×3×5×11)/(7×13×29)
| 2.3.5.7.11.13.29 {{monzo|4 1 1 -1 1 -1 -1}}
| 2.3.5.7.11.13.29 {{monzo| 4 1 1 -1 1 -1 -1 }}
|  
|  
|  
|  
Line 2,060: Line 2,060:
| 0.62851
| 0.62851
| (5×19×29)/(2×3<sup>4</sup>×17)
| (5×19×29)/(2×3<sup>4</sup>×17)
| 2.3.5.17.19.29 {{monzo|-1 -4 1 -1 1 1}}
| 2.3.5.17.19.29 {{monzo| -1 -4 1 -1 1 1 }}
|  
|  
|  
|  
Line 2,067: Line 2,067:
| 0.62196
| 0.62196
| (2<sup>5</sup>×3×29)/(11<sup>2</sup>×23)
| (2<sup>5</sup>×3×29)/(11<sup>2</sup>×23)
| 2.3.11.23.29 {{monzo|5 1 -2 -1 1}}
| 2.3.11.23.29 {{monzo| 5 1 -2 -1 1 }}
|  
|  
|  
|  
Line 2,074: Line 2,074:
| 0.53293
| 0.53293
| (3×19)<sup>2</sup>/(2<sup>4</sup>×7×29)
| (3×19)<sup>2</sup>/(2<sup>4</sup>×7×29)
| 2.3.7.19.29 {{monzo|-4 2 -1 2 -1}}
| 2.3.7.19.29 {{monzo| -4 2 -1 2 -1 }}
|  
|  
| S57
| S57
Line 2,081: Line 2,081:
| 0.50173
| 0.50173
| (7×17×29)/(2×3×5<sup>2</sup>×23)
| (7×17×29)/(2×3×5<sup>2</sup>×23)
| 2.3.5.7.17.23.29 {{monzo|-1 -1 -2 1 1 -1 1}}
| 2.3.5.7.17.23.29 {{monzo| -1 -1 -2 1 1 -1 1 }}
|  
|  
|  
|  
Line 2,088: Line 2,088:
| 0.49330
| 0.49330
| (2×3<sup>3</sup>×5×13)/(11<sup>2</sup>×29)
| (2×3<sup>3</sup>×5×13)/(11<sup>2</sup>×29)
| 2.3.5.11.13.29 {{monzo|1 3 1 -2 1 -1}}
| 2.3.5.11.13.29 {{monzo| 1 3 1 -2 1 -1 }}
| Veederisma
| Veederisma
|  
|  
Line 2,095: Line 2,095:
| 0.37307
| 0.37307
| (3×7×13×17)/(2<sup>5</sup>×5×29)
| (3×7×13×17)/(2<sup>5</sup>×5×29)
| 2.3.5.7.13.17.29 {{monzo|-5 1 -1 1 1 1 -1}}
| 2.3.5.7.13.17.29 {{monzo| -5 1 -1 1 1 1 -1 }}
|  
|  
|  
|  
Line 2,101: Line 2,101:
| [[4785/4784]]
| [[4785/4784]]
| 0.36184
| 0.36184
| (3×5×11×29)/(2<sup>5</sup>×13×23)
| (3×5×11×29)/(2<sup>4</sup>×13×23)
| 2.3.5.11.13.23.29 {{monzo|-4 1 1 1 -1 -1 1}}
| 2.3.5.11.13.23.29 {{monzo| -4 1 1 1 -1 -1 1 }}
|  
|  
|  
|  
Line 2,109: Line 2,109:
| 0.35328
| 0.35328
| (13/(2×5×7))<sup>2</sup>×29
| (13/(2×5×7))<sup>2</sup>×29
| 2.5.7.13.29 {{monzo|-2 -2 -2 2 1}}
| 2.5.7.13.29 {{monzo| -2 -2 -2 2 1 }}
| Large grapevine comma
| Large grapevine comma
|  
|  
Line 2,116: Line 2,116:
| 0.33922
| 0.33922
| (2<sup>4</sup>×11×29)/(3<sup>6</sup>×7)
| (2<sup>4</sup>×11×29)/(3<sup>6</sup>×7)
| 2.3.7.11.29 {{monzo|4 -6 -1 1 1}}
| 2.3.7.11.29 {{monzo| 4 -6 -1 1 1 }}
|  
|  
|  
|  
Line 2,123: Line 2,123:
| 0.29405
| 0.29405
| (2<sup>8</sup>×23)/(7×29<sup>2</sup>)
| (2<sup>8</sup>×23)/(7×29<sup>2</sup>)
| 2.7.23.29 {{monzo|8 -1 1 -2}}
| 2.7.23.29 {{monzo| 8 -1 1 -2 }}
|  
|  
|  
|  
Line 2,130: Line 2,130:
| 0.29266
| 0.29266
| (2<sup>2</sup>×3×17×29)/(5×7×13<sup>2</sup>)
| (2<sup>2</sup>×3×17×29)/(5×7×13<sup>2</sup>)
| 2.3.5.7.13.17.29 {{monzo|2 1 -1 -1 -2 1 1}}
| 2.3.5.7.13.17.29 {{monzo| 2 1 -1 -1 -2 1 1 }}
|  
|  
|  
|  
Line 2,137: Line 2,137:
| 0.25957
| 0.25957
| (2×5×23×29)/(3<sup>3</sup>×13×19)
| (2×5×23×29)/(3<sup>3</sup>×13×19)
| 2.3.5.13.19.23.29 {{monzo|1 -3 1 -1 -1 1 1}}
| 2.3.5.13.19.23.29 {{monzo| 1 -3 1 -1 -1 1 1 }}
|  
|  
|  
|  
Line 2,144: Line 2,144:
| 0.24365
| 0.24365
| (2×11×17×19)/(5×7<sup>2</sup>×29)
| (2×11×17×19)/(5×7<sup>2</sup>×29)
| 2.5.7.11.17.19.29 {{monzo|1 -1 -2 1 1 1 -1}}
| 2.5.7.11.17.19.29 {{monzo| 1 -1 -2 1 1 1 -1 }}
|  
|  
|  
|  
Line 2,151: Line 2,151:
| 0.23318
| 0.23318
| (3<sup>3</sup>×5<sup>2</sup>×11)/(2<sup>8</sup>×29)
| (3<sup>3</sup>×5<sup>2</sup>×11)/(2<sup>8</sup>×29)
| 2.3.5.11.29 {{monzo|-8 3 2 1 -1}}
| 2.3.5.11.29 {{monzo| -8 3 2 1 -1 }}
| Small grapevine comma
| Small grapevine comma
|  
|  
Line 2,158: Line 2,158:
| 0.21946
| 0.21946
| (7<sup>3</sup>×23)/(2<sup>4</sup>×17×29)
| (7<sup>3</sup>×23)/(2<sup>4</sup>×17×29)
| 2.7.17.23.29 {{monzo|-4 3 -1 1 -1}}
| 2.7.17.23.29 {{monzo| -4 3 -1 1 -1 }}
|  
|  
|  
|  
Line 2,165: Line 2,165:
| 0.19967
| 0.19967
| (13×23×29)/(2×3×5×17<sup>2</sup>)
| (13×23×29)/(2×3×5×17<sup>2</sup>)
| 2.3.5.13.17.23.29 {{monzo|-1 -1 -1 1 -2 1 1}}
| 2.3.5.13.17.23.29 {{monzo| -1 -1 -1 1 -2 1 1 }}
|  
|  
|  
|  
Line 2,172: Line 2,172:
| 0.17663
| 0.17663
| (2×13<sup>2</sup>×29)/(3<sup>2</sup>×11)<sup>2</sup>
| (2×13<sup>2</sup>×29)/(3<sup>2</sup>×11)<sup>2</sup>
| 2.3.11.13.29 {{monzo|1 -4 -2 2 1}}
| 2.3.11.13.29 {{monzo| 1 -4 -2 2 1 }}
|  
|  
|  
|  
Line 2,179: Line 2,179:
| 0.16400
| 0.16400
| (3<sup>3</sup>×17×23)/(2<sup>2</sup>×7×13×29)
| (3<sup>3</sup>×17×23)/(2<sup>2</sup>×7×13×29)
| 2.3.7.13.17.23.29 {{monzo|-2 3 -1 -1 1 1 -1}}
| 2.3.7.13.17.23.29 {{monzo| -2 3 -1 -1 1 1 -1 }}
|  
|  
|  
|  
Line 2,186: Line 2,186:
| 0.15267
| 0.15267
| (2<sup>2</sup>×3<sup>4</sup>×5×7)/(17×23×29)
| (2<sup>2</sup>×3<sup>4</sup>×5×7)/(17×23×29)
| 2.3.5.7.17.23.29 {{monzo|2 4 1 1 -1 -1 -1}}
| 2.3.5.7.17.23.29 {{monzo| 2 4 1 1 -1 -1 -1 }}
|  
|  
|  
|  
Line 2,193: Line 2,193:
| 0.14420
| 0.14420
| (2×3<sup>2</sup>×23×29)/(5×7<sup>4</sup>)
| (2×3<sup>2</sup>×23×29)/(5×7<sup>4</sup>)
| 2.3.5.7.23.29 {{monzo|1 2 -1 -4 1 1}}
| 2.3.5.7.23.29 {{monzo| 1 2 -1 -4 1 1 }}
| Uma, umic comma
| Uma, umic comma
|  
|  
Line 2,200: Line 2,200:
| 0.13661
| 0.13661
| (19×23×29)/(2<sup>7</sup>×3<sup>2</sup>×11)
| (19×23×29)/(2<sup>7</sup>×3<sup>2</sup>×11)
| 2.3.11.19.23.29 {{monzo|-7 -2 -1 1 1 1}}
| 2.3.11.19.23.29 {{monzo| -7 -2 -1 1 1 1 }}
|  
|  
|  
|  
Line 2,207: Line 2,207:
| 0.13091
| 0.13091
| (5×23)<sup>2</sup>/(2<sup>3</sup>×3×19×29)
| (5×23)<sup>2</sup>/(2<sup>3</sup>×3×19×29)
| 2.3.5.19.23.29 {{monzo|-3 -1 2 -1 2 -1}}
| 2.3.5.19.23.29 {{monzo| -3 -1 2 -1 2 -1 }}
|  
|  
| S115
| S115
Line 2,214: Line 2,214:
| 0.13007
| 0.13007
| (3<sup>3</sup>×17×29)/(2×5×11<sup>3</sup>)
| (3<sup>3</sup>×17×29)/(2×5×11<sup>3</sup>)
| 2.3.5.11.17.29 {{monzo|-1 3 -1 -3 1 1}}
| 2.3.5.11.17.29 {{monzo| -1 3 -1 -3 1 1 }}
|  
|  
|  
|  
Line 2,221: Line 2,221:
| 0.13006
| 0.13006
| (2<sup>10</sup>×13)/(3<sup>3</sup>×17×29)
| (2<sup>10</sup>×13)/(3<sup>3</sup>×17×29)
| 2.3.13.17.29 {{monzo|10 -3 1 -1 -1}}
| 2.3.13.17.29 {{monzo| 10 -3 1 -1 -1 }}
|  
|  
|  
|  
Line 2,228: Line 2,228:
| 0.12866
| 0.12866
| (2<sup>2</sup>×29)<sup>2</sup>/(3<sup>2</sup>×5×13×23)
| (2<sup>2</sup>×29)<sup>2</sup>/(3<sup>2</sup>×5×13×23)
| 2.3.5.13.23.29 {{monzo|4 -2 -1 -1 -1 2}}
| 2.3.5.13.23.29 {{monzo| 4 -2 -1 -1 -1 2 }}
|  
|  
| S116
| S116
Line 2,235: Line 2,235:
| 0.090039
| 0.090039
| (2<sup>2</sup>×11×19×23)/(3×13×17×29)
| (2<sup>2</sup>×11×19×23)/(3×13×17×29)
| 2.3.11.13.17.19.23.29 {{monzo|2 -1 1 -1 -1 1 1 -1}}
| 2.3.11.13.17.19.23.29 {{monzo| 2 -1 1 -1 -1 1 1 -1 }}
|  
|  
|  
|  
Line 2,242: Line 2,242:
| 0.083491
| 0.083491
| (2<sup>2</sup>×3)<sup>4</sup>/(5×11×13×29)
| (2<sup>2</sup>×3)<sup>4</sup>/(5×11×13×29)
| 2.3.5.11.13.29 {{monzo|8 4 -1 -1 -1 -1}}
| 2.3.5.11.13.29 {{monzo| 8 4 -1 -1 -1 -1 }}
|  
|  
| S144
| S144
Line 2,249: Line 2,249:
| 0.072893
| 0.072893
| (3<sup>2</sup>×7×13×29)/(2×5<sup>4</sup>×19)
| (3<sup>2</sup>×7×13×29)/(2×5<sup>4</sup>×19)
| 2.3.5.7.13.19.29 {{monzo|-1 2 -4 1 1 -1 1}}
| 2.3.5.7.13.19.29 {{monzo| -1 2 -4 1 1 -1 1 }}
|  
|  
|  
|  
Line 2,256: Line 2,256:
| 0.069823
| 0.069823
| (3<sup>2</sup>×5×19×29)/(2×7<sup>2</sup>×11×23)
| (3<sup>2</sup>×5×19×29)/(2×7<sup>2</sup>×11×23)
| 2.3.5.7.11.19.23.29 {{monzo|-1 2 1 -2 -1 1 -1 1}}
| 2.3.5.7.11.19.23.29 {{monzo| -1 2 1 -2 -1 1 -1 1 }}
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|  
|  
|  
Line 2,263: Line 2,263:
| 0.067000
| 0.067000
| (2<sup>4</sup>×5×17×19)/(3<sup>4</sup>×11×29)
| (2<sup>4</sup>×5×17×19)/(3<sup>4</sup>×11×29)
| 2.3.5.11.17.19.29 {{monzo|4 -4 1 -1 1 1 -1}}
| 2.3.5.11.17.19.29 {{monzo| 4 -4 1 -1 1 1 -1 }}
| Vuillafansisma
| Vuillafansisma
|  
|  
Line 2,270: Line 2,270:
| 0.064121
| 0.064121
| (2×3×5)<sup>3</sup>/(7<sup>2</sup>×19×29)
| (2×3×5)<sup>3</sup>/(7<sup>2</sup>×19×29)
| 2.3.5.7.19.29 {{monzo|3 3 3 -2 -1 -1}}
| 2.3.5.7.19.29 {{monzo| 3 3 3 -2 -1 -1 }}
|  
|  
|  
|  
Line 2,277: Line 2,277:
| 0.056531
| 0.056531
| (5<sup>2</sup>×7)<sup>2</sup>/(2<sup>5</sup>×3×11×29)
| (5<sup>2</sup>×7)<sup>2</sup>/(2<sup>5</sup>×3×11×29)
| 2.3.5.7.11.29 {{monzo|-5 -1 4 2 -1 -1}}
| 2.3.5.7.11.29 {{monzo| -5 -1 4 2 -1 -1 }}
|  
|  
| S175
| S175
Line 2,284: Line 2,284:
| 0.056108
| 0.056108
| (2<sup>3</sup>×7×19×29)/(3×5×11<sup>2</sup>×17)
| (2<sup>3</sup>×7×19×29)/(3×5×11<sup>2</sup>×17)
| 2.3.5.7.11.17.19.29 {{monzo|3 -1 -1 1 -2 -1 1 1}}
| 2.3.5.7.11.17.19.29 {{monzo| 3 -1 -1 1 -2 -1 1 1 }}
|  
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|  
|  
Line 2,291: Line 2,291:
| 0.049014
| 0.049014
| (2×3×7×29<sup>2</sup>)/(11×13<sup>2</sup>×19)
| (2×3×7×29<sup>2</sup>)/(11×13<sup>2</sup>×19)
| 2.3.7.11.13.19.29 {{monzo|1 1 1 -1 -2 -1 2}}
| 2.3.7.11.13.19.29 {{monzo| 1 1 1 -1 -2 -1 2 }}
|  
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|  
|  
Line 2,298: Line 2,298:
| 0.036737
| 0.036737
| (5<sup>3</sup>×13×29)/((2×3)<sup>2</sup>×7×11×17)
| (5<sup>3</sup>×13×29)/((2×3)<sup>2</sup>×7×11×17)
| 2.3.5.7.11.13.17.29 {{monzo|-2 -2 3 -1 -1 1 -1 1}}
| 2.3.5.7.11.13.17.29 {{monzo| -2 -2 3 -1 -1 1 -1 1 }}
|  
|  
|  
|  
Line 2,305: Line 2,305:
| 0.032444
| 0.032444
| (3×7×11)<sup>2</sup>/(2<sup>4</sup>×5×23×29)
| (3×7×11)<sup>2</sup>/(2<sup>4</sup>×5×23×29)
| 2.3.5.7.11.23.29 {{monzo|-4 2 -1 2 2 -1 -1}}
| 2.3.5.7.11.23.29 {{monzo| -4 2 -1 2 2 -1 -1 }}
|  
|  
| S231
| S231
Line 2,312: Line 2,312:
| 0.023879
| 0.023879
| (3×11×13<sup>3</sup>)/((2×5<sup>2</sup>)<sup>2</sup>×29)
| (3×11×13<sup>3</sup>)/((2×5<sup>2</sup>)<sup>2</sup>×29)
| 2.3.5.11.13.29 {{monzo|-2 1 -4 1 3 -1}}
| 2.3.5.11.13.29 {{monzo| -2 1 -4 1 3 -1 }}
|  
|  
|  
|  
Line 2,319: Line 2,319:
| 0.020728
| 0.020728
| 17<sup>4</sup>/((2<sup>3</sup>×3)<sup>2</sup>×5×29)
| 17<sup>4</sup>/((2<sup>3</sup>×3)<sup>2</sup>×5×29)
| 2.3.5.17.29 {{monzo|-6 -2 -1 4 -1}}
| 2.3.5.17.29 {{monzo| -6 -2 -1 4 -1 }}
|  
|  
| S289
| S289
Line 2,326: Line 2,326:
| 0.019794
| 0.019794
| (3×5×7<sup>3</sup>×17)/(2<sup>3</sup>×13×29<sup>2</sup>)
| (3×5×7<sup>3</sup>×17)/(2<sup>3</sup>×13×29<sup>2</sup>)
| 2.3.5.7.13.17.29 {{monzo|-3 1 1 3 -1 1 -2}}
| 2.3.5.7.13.17.29 {{monzo| -3 1 1 3 -1 1 -2 }}
|  
|  
|  
|  
Line 2,333: Line 2,333:
| 0.012651
| 0.012651
| (3×11<sup>2</sup>×13×29)/(2×5<sup>2</sup>×7×17×23)
| (3×11<sup>2</sup>×13×29)/(2×5<sup>2</sup>×7×17×23)
| 2.3.5.7.11.13.17.23.29 {{monzo|-1 1 -2 -1 2 1 -1 -1 1}}
| 2.3.5.7.11.13.17.23.29 {{monzo| -1 1 -2 -1 2 1 -1 -1 1 }}
|  
|  
|  
|  
Line 2,340: Line 2,340:
| 0.010892
| 0.010892
| (2×(5×17)<sup>2</sup>×11)/(3<sup>3</sup>×7×29<sup>2</sup>)
| (2×(5×17)<sup>2</sup>×11)/(3<sup>3</sup>×7×29<sup>2</sup>)
| 2.3.5.7.11.17.29 {{monzo|1 -3 2 -1 1 2 -2}}
| 2.3.5.7.11.17.29 {{monzo| 1 -3 2 -1 1 2 -2 }}
|  
|  
|  
|  
Line 2,347: Line 2,347:
| 0.010389
| 0.010389
| ((3×23)<sup>2</sup>×5×7)/(2×13<sup>2</sup>×17×29)
| ((3×23)<sup>2</sup>×5×7)/(2×13<sup>2</sup>×17×29)
| 2.3.5.7.13.17.23.29 {{monzo|-1 2 1 1 -2 -1 2 -1}}
| 2.3.5.7.13.17.23.29 {{monzo| -1 2 1 1 -2 -1 2 -1 }}
|  
|  
|  
|  
Line 2,354: Line 2,354:
| 0.010259
| 0.010259
| (11×23<sup>2</sup>×29)/(2×3<sup>3</sup>×5<sup>5</sup>)
| (11×23<sup>2</sup>×29)/(2×3<sup>3</sup>×5<sup>5</sup>)
| 2.3.5.11.23.29 {{monzo|-1 -3 -5 1 2 1}}
| 2.3.5.11.23.29 {{monzo| -1 -3 -5 1 2 1 }}
|  
|  
|  
|  
Line 2,361: Line 2,361:
| 0.0098365
| 0.0098365
| (3×7×17<sup>2</sup>×29)/(2<sup>7</sup>×5<sup>3</sup>×11)
| (3×7×17<sup>2</sup>×29)/(2<sup>7</sup>×5<sup>3</sup>×11)
| 2.3.5.7.11.17.29 {{monzo|-7 1 -3 1 -1 2 1}}
| 2.3.5.7.11.17.29 {{monzo| -7 1 -3 1 -1 2 1 }}
|  
|  
|  
|  
Line 2,368: Line 2,368:
| 0.0098268
| 0.0098268
| (2<sup>4</sup>×7×11<sup>2</sup>×13)/(3<sup>5</sup>×5<sup>2</sup>×29)
| (2<sup>4</sup>×7×11<sup>2</sup>×13)/(3<sup>5</sup>×5<sup>2</sup>×29)
| 2.3.5.7.11.13.29 {{monzo|4 -5 -2 1 2 1 -1}}
| 2.3.5.7.11.13.29 {{monzo| 4 -5 -2 1 2 1 -1 }}
|  
|  
|  
|  
Line 2,375: Line 2,375:
| 0.0094042
| 0.0094042
| ((7×17)<sup>2</sup>×13)/((2×23)<sup>2</sup>×3×29)
| ((7×17)<sup>2</sup>×13)/((2×23)<sup>2</sup>×3×29)
| 2.3.7.13.17.23.29 {{monzo|-2 -1 2 1 2 -2 -1}}
| 2.3.7.13.17.23.29 {{monzo| -2 -1 2 1 2 -2 -1 }}
|  
|  
|  
|  
Line 2,382: Line 2,382:
| 0.0071899
| 0.0071899
| (19<sup>2</sup>×23×29)/(2×(3×7)<sup>3</sup>×13)
| (19<sup>2</sup>×23×29)/(2×(3×7)<sup>3</sup>×13)
| 2.3.7.13.19.23.29 {{monzo|-1 -3 -3 -1 2 1 1}}
| 2.3.7.13.19.23.29 {{monzo| -1 -3 -3 -1 2 1 1 }}
|  
|  
|  
|  
Line 2,389: Line 2,389:
| 0.0070942
| 0.0070942
| (2×13×19)<sup>2</sup>/(3<sup>2</sup>×5×11×17×29)
| (2×13×19)<sup>2</sup>/(3<sup>2</sup>×5×11×17×29)
| 2.3.5.11.13.17.19.29 {{monzo|2 -2 -1 -1 2 -1 2 -1}}
| 2.3.5.11.13.17.19.29 {{monzo| 2 -2 -1 -1 2 -1 2 -1 }}
|  
|  
| S494
| S494
Line 2,395: Line 2,395:
| 303601/303600
| 303601/303600
| 0.0057023
| 0.0057023
| (19×29)<sup>2</sup>/((2<sup>2</sup>×5)<sup>2</sup>×3×11×23)
| ((19×29)/(2<sup>2</sup>×5))<sup>2</sup>/(3×11×23)
| 2.3.5.11.19.23.29 {{monzo|-4 -1 -2 -1 2 -1 2}}
| 2.3.5.11.19.23.29 {{monzo| -4 -1 -2 -1 2 -1 2 }}
|  
|  
| S551
| S551
Line 2,403: Line 2,403:
| 0.0042156
| 0.0042156
| (2×3<sup>5</sup>×5×13<sup>2</sup>)/((7×17)<sup>2</sup>×29)
| (2×3<sup>5</sup>×5×13<sup>2</sup>)/((7×17)<sup>2</sup>×29)
| 2.3.5.7.13.17.29 {{monzo|1 5 1 -2 2 -2 -1}}
| 2.3.5.7.13.17.29 {{monzo| 1 5 1 -2 2 -2 -1 }}
|  
|  
|  
|  
Line 2,410: Line 2,410:
| 0.0041342
| 0.0041342
| ((3×17)<sup>2</sup>×7×23)/(2<sup>3</sup>×5×19<sup>2</sup>×29)
| ((3×17)<sup>2</sup>×7×23)/(2<sup>3</sup>×5×19<sup>2</sup>×29)
| 2.3.5.7.17.19.23.29 {{monzo|-3 2 -1 1 2 -2 1 -1}}
| 2.3.5.7.17.19.23.29 {{monzo| -3 2 -1 1 2 -2 1 -1 }}
|  
|  
|  
|  
Line 2,417: Line 2,417:
| 0.0028238
| 0.0028238
| (3<sup>3</sup>×29)<sup>2</sup>/(2<sup>5</sup>×7<sup>2</sup>×17×23)
| (3<sup>3</sup>×29)<sup>2</sup>/(2<sup>5</sup>×7<sup>2</sup>×17×23)
| 2.3.7.17.23.29 {{monzo| -5 6 -2 -1 -1 2}}
| 2.3.7.17.23.29 {{monzo| -5 6 -2 -1 -1 2 }}
|  
|  
| S783
| S783
Line 2,424: Line 2,424:
| 0.0018242
| 0.0018242
| (2×3×13×23<sup>3</sup>)/(5<sup>2</sup>×7×11×17×29)
| (2×3×13×23<sup>3</sup>)/(5<sup>2</sup>×7×11×17×29)
| 2.3.5.7.11.13.17.23.29 {{monzo| 1 1 -2 -1 -1 1 -1 3 -1}}
| 2.3.5.7.11.13.17.23.29 {{monzo| 1 1 -2 -1 -1 1 -1 3 -1 }}
|  
|  
|  
|  
Line 2,431: Line 2,431:
| 0.0014876
| 0.0014876
| (2<sup>3</sup>×(5×23)<sup>2</sup>×11)/(3<sup>2</sup>×7<sup>3</sup>×13×29)
| (2<sup>3</sup>×(5×23)<sup>2</sup>×11)/(3<sup>2</sup>×7<sup>3</sup>×13×29)
| 2.3.5.7.11.13.23.29 {{monzo| 3 -2 2 -3 1 -1 2 -1}}
| 2.3.5.7.11.13.23.29 {{monzo| 3 -2 2 -3 1 -1 2 -1 }}
|  
|  
|  
|  
Line 2,438: Line 2,438:
| 0.0014016
| 0.0014016
| (3<sup>5</sup>×13×17×23)/(2<sup>5</sup>×11<sup>3</sup>×29)
| (3<sup>5</sup>×13×17×23)/(2<sup>5</sup>×11<sup>3</sup>×29)
| 2.3.11.13.17.23.29 {{monzo| -5 5 -3 1 1 1 -1}}
| 2.3.11.13.17.23.29 {{monzo| -5 5 -3 1 1 1 -1 }}
|  
|  
|  
|  
Line 2,445: Line 2,445:
| 0.0013918
| 0.0013918
| ((2<sup>3</sup>×13)<sup>2</sup>×5×23)/(3×17×29<sup>3</sup>)
| ((2<sup>3</sup>×13)<sup>2</sup>×5×23)/(3×17×29<sup>3</sup>)
| 2.3.5.13.17.23.29 {{monzo|6 -1 1 2 -1 1 -3}}
| 2.3.5.13.17.23.29 {{monzo| 6 -1 1 2 -1 1 -3 }}
|  
|  
|  
|  
Line 2,452: Line 2,452:
| 0.0010650
| 0.0010650
| (3×5<sup>2</sup>×17)<sup>2</sup>/(2<sup>3</sup>×7<sup>2</sup>×11×13×29)
| (3×5<sup>2</sup>×17)<sup>2</sup>/(2<sup>3</sup>×7<sup>2</sup>×11×13×29)
| 2.3.5.7.11.13.17.29 {{monzo|-3 2 4 -2 -1 -1 2 -1}}
| 2.3.5.7.11.13.17.29 {{monzo| -3 2 4 -2 -1 -1 2 -1 }}
|  
|  
| S1275
| S1275
Line 2,459: Line 2,459:
| 0.00093469
| 0.00093469
| (13×17<sup>3</sup>×29)/((2×3×7)<sup>3</sup>×5<sup>2</sup>)
| (13×17<sup>3</sup>×29)/((2×3×7)<sup>3</sup>×5<sup>2</sup>)
| 2.3.5.7.13.17.29 {{monzo|-3 -3 -2 -3 1 3 1}}
| 2.3.5.7.13.17.29 {{monzo| -3 -3 -2 -3 1 3 1 }}
|  
|  
|  
|  
Line 2,466: Line 2,466:
| 0.00064175
| 0.00064175
| (2<sup>5</sup>×3<sup>2</sup>×17×19×29)/(5×7<sup>3</sup>×11<sup>2</sup>×13)
| (2<sup>5</sup>×3<sup>2</sup>×17×19×29)/(5×7<sup>3</sup>×11<sup>2</sup>×13)
| 2.3.5.7.11.13.17.19.29 {{monzo|5 2 -1 -3 -2 -1 1 1 1}}
| 2.3.5.7.11.13.17.19.29 {{monzo| 5 2 -1 -3 -2 -1 1 1 1 }}
|  
|  
|  
|  
Line 2,473: Line 2,473:
| 0.00043238
| 0.00043238
| (3×23×29)<sup>2</sup>/(2<sup>5</sup>×5<sup>3</sup>×7×11×13)
| (3×23×29)<sup>2</sup>/(2<sup>5</sup>×5<sup>3</sup>×7×11×13)
| 2.3.5.7.11.13.23.29 {{monzo|-5 2 -3 -1 -1 -1 2 2}}
| 2.3.5.7.11.13.23.29 {{monzo| -5 2 -3 -1 -1 -1 2 2 }}
| Odyssey comma
| Odyssey comma
| S2001
| S2001
Line 2,480: Line 2,480:
| 0.00042322
| 0.00042322
| (5<sup>5</sup>×7×11×17)/((2<sup>4</sup>×29)<sup>2</sup>×19)
| (5<sup>5</sup>×7×11×17)/((2<sup>4</sup>×29)<sup>2</sup>×19)
| 2.5.7.11.17.19.29 {{monzo|-8 5 1 1 1 -1 -2}}
| 2.5.7.11.17.19.29 {{monzo| -8 5 1 1 1 -1 -2 }}
|  
|  
|  
|  
Line 2,487: Line 2,487:
| 0.00020937
| 0.00020937
| ((2<sup>5</sup>×5)<sup>2</sup>×17×19)/((7×23)<sup>2</sup>×11×29)
| ((2<sup>5</sup>×5)<sup>2</sup>×17×19)/((7×23)<sup>2</sup>×11×29)
| 2.5.7.11.17.19.23.29 {{monzo|10 2 -2 -1 1 1 -2 -1}}
| 2.5.7.11.17.19.23.29 {{monzo| 10 2 -2 -1 1 1 -2 -1 }}
|  
|  
|  
|  
Line 2,494: Line 2,494:
| 0.00016400
| 0.00016400
| (3×19)<sup>4</sup>/(2<sup>5</sup>×5<sup>3</sup>×7×13×29)
| (3×19)<sup>4</sup>/(2<sup>5</sup>×5<sup>3</sup>×7×13×29)
| 2.3.5.7.13.19.29 {{monzo|-5 4 -3 -1 -1 4 -1}}
| 2.3.5.7.13.19.29 {{monzo| -5 4 -3 -1 -1 4 -1 }}
|  
|  
| S3249
| S3249
Line 2,501: Line 2,501:
| 9.5724×10<sup>-5</sup>
| 9.5724×10<sup>-5</sup>
| (5×11×17×23×29<sup>2</sup>)/((2×7×13)<sup>3</sup>×3)
| (5×11×17×23×29<sup>2</sup>)/((2×7×13)<sup>3</sup>×3)
| 2.3.5.7.11.13.17.23.29 {{monzo|-3 -1 1 -3 1 -3 1 1 2}}
| 2.3.5.7.11.13.17.23.29 {{monzo| -3 -1 1 -3 1 -3 1 1 2 }}
|  
|  
|  
|  
Line 2,508: Line 2,508:
| 1.8022×10<sup>-5</sup>
| 1.8022×10<sup>-5</sup>
| (3<sup>2</sup>×11)<sup>4</sup>/((2<sup>2</sup>×5×7×13)<sup>2</sup>×29)
| (3<sup>2</sup>×11)<sup>4</sup>/((2<sup>2</sup>×5×7×13)<sup>2</sup>×29)
| 2.3.5.7.11.13.29 {{monzo|-4 8 -2 -2 4 -2 -1}}
| 2.3.5.7.11.13.29 {{monzo| -4 8 -2 -2 4 -2 -1 }}
|  
|  
| S9801
| S9801
Line 2,515: Line 2,515:
| 9.7709×10<sup>-6</sup>
| 9.7709×10<sup>-6</sup>
| (3<sup>3</sup>×17×29)<sup>2</sup>/(2<sup>11</sup>×5×11<sup>3</sup>×13)
| (3<sup>3</sup>×17×29)<sup>2</sup>/(2<sup>11</sup>×5×11<sup>3</sup>×13)
| 2.3.5.11.13.17.29 {{monzo|-11 6 -1 -3 -1 2 2}}
| 2.3.5.11.13.17.29 {{monzo| -11 6 -1 -3 -1 2 2 }}
|  
|  
| S13311
| S13311
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"