Xenharmonic Wiki

List of superparticular intervals: Difference between revisions

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Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
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replaced inline Monzos in table cells with template:monzo by simplified markup for table cells and links
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
m replaced inline spans for styling of exponents by superscript tag <sup>x</sup>
Line 35: Line 35:
| [[4/3]]
| [[4/3]]
| 498.045
| 498.045
| 2<span style="font-size: 70%; vertical-align: super;">2</span>/3
| 2<sup>2</sup>/3
| {{Monzo|2 -1}}
| {{Monzo|2 -1}}
| perfect fourth, 3rd subharmonic (octave reduced), diatessaron
| perfect fourth, 3rd subharmonic (octave reduced), diatessaron
Line 41: Line 41:
| [[9/8]]
| [[9/8]]
| 203.910
| 203.910
| 3<span style="font-size: 70%; vertical-align: super;">2</span>/2<span style="font-size: 70%; vertical-align: super;">3</span>
| 3<sup>2</sup>/2<sup>3</sup>
| {{Monzo|-3 2}}
| {{Monzo|-3 2}}
| (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)
| (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)
Line 49: Line 49:
| [[5/4]]
| [[5/4]]
| 386.314
| 386.314
| 5/2<span style="font-size: 70%; vertical-align: super;">2</span>
| 5/2<sup>2</sup>
| {{Monzo|-2 0 1}}
| {{Monzo|-2 0 1}}
| (classic) (5-limit) major third, 5th harmonic (octave reduced)
| (classic) (5-limit) major third, 5th harmonic (octave reduced)
Line 61: Line 61:
| [[10/9]]
| [[10/9]]
| 182.404
| 182.404
| (2*5)/3<span style="font-size: 70%; vertical-align: super;">2</span>
| (2*5)/3<sup>2</sup>
| {{Monzo|1 -2 1}}
| {{Monzo|1 -2 1}}
| classic (whole) tone, classic major second, minor whole tone
| classic (whole) tone, classic major second, minor whole tone
Line 67: Line 67:
| [[16/15]]
| [[16/15]]
| 111.713
| 111.713
| 2<span style="font-size: 70%; vertical-align: super;">4</span>/(3*5)
| 2<sup>4</sup>/(3*5)
| {{Monzo|4 -1 -1}}
| {{Monzo|4 -1 -1}}
| minor diatonic semitone, 15th subharmonic
| minor diatonic semitone, 15th subharmonic
Line 73: Line 73:
| [[25/24]]
| [[25/24]]
| 70.672
| 70.672
| 5<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3)
| 5<sup>2</sup>/(2<sup>3</sup>*3)
| {{Monzo|-3 -1 2}}
| {{Monzo|-3 -1 2}}
| chroma, (classic) chromatic semitone, Zarlinian semitone
| chroma, (classic) chromatic semitone, Zarlinian semitone
Line 79: Line 79:
| [[81/80]]
| [[81/80]]
| 21.506
| 21.506
| (3/2)<span style="font-size: 70%; vertical-align: super;">4</span>/5
| (3/2)<sup>4</sup>/5
| {{Monzo|-4 4 -1}}
| {{Monzo|-4 4 -1}}
| syntonic comma, Didymus comma
| syntonic comma, Didymus comma
Line 93: Line 93:
| [[8/7]]
| [[8/7]]
| 231.174
| 231.174
| 2<span style="font-size: 70%; vertical-align: super;">3</span>/7
| 2<sup>3</sup>/7
| {{Monzo|3 0 0 -1}}
| {{Monzo|3 0 0 -1}}
| (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic
| (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic
Line 105: Line 105:
| [[21/20]]
| [[21/20]]
| 84.467
| 84.467
| (3*7)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| (3*7)/(2<sup>2</sup>*5)
| {{Monzo|-2 1 -1 1}}
| {{Monzo|-2 1 -1 1}}
| minor semitone, large septimal chromatic semitone
| minor semitone, large septimal chromatic semitone
Line 111: Line 111:
| [[28/27]]
| [[28/27]]
| 62.961
| 62.961
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*7)/3<span style="font-size: 70%; vertical-align: super;">3</span>
| (2<sup>2</sup>*7)/3<sup>3</sup>
| {{Monzo|2 -3 0 1}}
| {{Monzo|2 -3 0 1}}
| septimal chroma, small septimal chromatic semitone, Archytas' 1/3-tone
| septimal chroma, small septimal chromatic semitone, Archytas' 1/3-tone
Line 117: Line 117:
| [[36/35]]
| [[36/35]]
| 48.770
| 48.770
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>)/(5*7)
| (2<sup>2</sup>*3<sup>3</sup>)/(5*7)
| {{Monzo|2 2 -1 -1}}
| {{Monzo|2 2 -1 -1}}
| septimal quarter tone, septimal diesis
| septimal quarter tone, septimal diesis
Line 123: Line 123:
| [[49/48]]
| [[49/48]]
| 35.697
| 35.697
| 7<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3)
| 7<sup>2</sup>/(2<sup>4</sup>*3)
| {{Monzo|-4 -1 0 2}}
| {{Monzo|-4 -1 0 2}}
| large septimal diesis, slendro diesis, septimal 1/6-tone
| large septimal diesis, slendro diesis, septimal 1/6-tone
Line 129: Line 129:
| [[50/49]]
| [[50/49]]
| 34.976
| 34.976
| 2*(5/7)<span style="font-size: 70%; vertical-align: super;">2</span>
| 2*(5/7)<sup>2</sup>
| {{Monzo|1 0 2 -2}}
| {{Monzo|1 0 2 -2}}
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma
Line 135: Line 135:
| [[64/63]]
| [[64/63]]
| 27.264
| 27.264
| 2<span style="font-size: 70%; vertical-align: super;">6</span>/(3<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| 2<sup>6</sup>/(3<sup>2</sup>*7)
| {{Monzo|6 -2 0 -1}}
| {{Monzo|6 -2 0 -1}}
| septimal comma, Archytas' comma
| septimal comma, Archytas' comma
Line 141: Line 141:
| [[126/125]]
| [[126/125]]
| 13.795
| 13.795
| (2*3<span style="font-size: 70%; vertical-align: super;">2</span>*7)/5<span style="font-size: 70%; vertical-align: super;">3</span>
| (2*3<sup>2</sup>*7)/5<sup>3</sup>
| {{Monzo|1 2 -3 1}}
| {{Monzo|1 2 -3 1}}
| starling comma, septimal semicomma
| starling comma, septimal semicomma
Line 147: Line 147:
| [[225/224]]
| [[225/224]]
| 7.7115
| 7.7115
| (3*5)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">5</span>*7)
| (3*5)<sup>2</sup>/(2<sup>5</sup>*7)
| {{Monzo|-5 2 2 -1}}
| {{Monzo|-5 2 2 -1}}
| marvel comma, septimal kleisma
| marvel comma, septimal kleisma
Line 153: Line 153:
| [[2401/2400]]
| [[2401/2400]]
| 0.72120
| 0.72120
| 7<span style="font-size: 70%; vertical-align: super;">4</span>/(2<span style="font-size: 70%; vertical-align: super;">5</span>*3*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| 7<sup>4</sup>/(2<sup>5</sup>*3*5<sup>2</sup>)
| {{Monzo|-5 -1 -2 4}}
| {{Monzo|-5 -1 -2 4}}
| breedsma
| breedsma
Line 159: Line 159:
| [[4375/4374]]
| [[4375/4374]]
| 0.39576
| 0.39576
| (5<span style="font-size: 70%; vertical-align: super;">4</span>*7)/(2*3<span style="font-size: 70%; vertical-align: super;">7</span>)
| (5<sup>4</sup>*7)/(2*3<sup>7</sup>)
| {{Monzo|-1 -7 4 1}}
| {{Monzo|-1 -7 4 1}}
| ragisma
| ragisma
Line 173: Line 173:
| [[12/11]]
| [[12/11]]
| 150.637
| 150.637
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3)/11
| (2<sup>2</sup>*3)/11
| {{Monzo|2 1 0 0 -1}}
| {{Monzo|2 1 0 0 -1}}
| (small) (undecimal) neutral second, 3/4-tone
| (small) (undecimal) neutral second, 3/4-tone
Line 185: Line 185:
| [[33/32]]
| [[33/32]]
| 53.273
| 53.273
| (3*11)/2<span style="font-size: 70%; vertical-align: super;">5</span>
| (3*11)/2<sup>5</sup>
| {{Monzo|-5 1 0 0 1}}
| {{Monzo|-5 1 0 0 1}}
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
Line 191: Line 191:
| [[45/44]]
| [[45/44]]
| 38.906
| 38.906
| (3/2)<span style="font-size: 70%; vertical-align: super;">2</span>*(5/11)
| (3/2)<sup>2</sup>*(5/11)
| {{Monzo|-2 2 1 0 -1}}
| {{Monzo|-2 2 1 0 -1}}
| 1/5-tone
| 1/5-tone
Line 197: Line 197:
| [[55/54]]
| [[55/54]]
| 31.767
| 31.767
| (5*11)/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>)
| (5*11)/(2*3<sup>3</sup>)
| {{Monzo|-1 -3 1 0 1}}
| {{Monzo|-1 -3 1 0 1}}
| undecimal diasecundal comma, eleventyfive comma
| undecimal diasecundal comma, eleventyfive comma
Line 203: Line 203:
| [[56/55]]
| [[56/55]]
| 31.194
| 31.194
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*7)/(5*11)
| (2<sup>3</sup>*7)/(5*11)
| {{Monzo|3 0 -1 1 -1}}
| {{Monzo|3 0 -1 1 -1}}
| undecimal tritonic comma, konbini comma
| undecimal tritonic comma, konbini comma
Line 209: Line 209:
| [[99/98]]
| [[99/98]]
| 17.576
| 17.576
| (3/7)<span style="font-size: 70%; vertical-align: super;">2</span>*(11/2)
| (3/7)<sup>2</sup>*(11/2)
| {{Monzo|-1 2 0 -2 1}}
| {{Monzo|-1 2 0 -2 1}}
| small undecimal comma, mothwellsma
| small undecimal comma, mothwellsma
Line 215: Line 215:
| [[100/99]]
| [[100/99]]
| 17.399
| 17.399
| (2*5/3)<span style="font-size: 70%; vertical-align: super;">2</span>/11)
| (2*5/3)<sup>2</sup>/11)
| {{Monzo|2 -2 2 0 -1}}
| {{Monzo|2 -2 2 0 -1}}
| Ptolemy's comma, ptolemisma
| Ptolemy's comma, ptolemisma
Line 221: Line 221:
| [[121/120]]
| [[121/120]]
| 14.376
| 14.376
| 11<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*5)
| 11<sup>2</sup>/(2<sup>3</sup>*3*5)
| {{Monzo|-3 -1 -1 0 2}}
| {{Monzo|-3 -1 -1 0 2}}
| undecimal seconds comma, biyatisma
| undecimal seconds comma, biyatisma
Line 227: Line 227:
| [[176/175]]
| [[176/175]]
| 9.8646
| 9.8646
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*11)/(5<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| (2<sup>4</sup>*11)/(5<sup>2</sup>*7)
| {{Monzo|4 0 -2 -1 1}}
| {{Monzo|4 0 -2 -1 1}}
| valinorsma
| valinorsma
Line 233: Line 233:
| [[243/242]]
| [[243/242]]
| 7.1391
| 7.1391
| 3<span style="font-size: 70%; vertical-align: super;">5</span>/(2*11<span style="font-size: 70%; vertical-align: super;">2</span>)
| 3<sup>5</sup>/(2*11<sup>2</sup>)
| {{Monzo|-1 5 0 0 -2}}
| {{Monzo|-1 5 0 0 -2}}
| neutral third comma, rastma
| neutral third comma, rastma
Line 239: Line 239:
| [[385/384]]
| [[385/384]]
| 4.5026
| 4.5026
| (5*7*11)/(2<span style="font-size: 70%; vertical-align: super;">7</span>*3)
| (5*7*11)/(2<sup>7</sup>*3)
| {{Monzo|-7 -1 1 1 1}}
| {{Monzo|-7 -1 1 1 1}}
| keenanisma
| keenanisma
Line 245: Line 245:
| [[441/440]]
| [[441/440]]
| 3.9302
| 3.9302
| (3*7)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5*11)
| (3*7)<sup>2</sup>/(2<sup>3</sup>*5*11)
| {{Monzo|-3 2 -1 2 -1}}
| {{Monzo|-3 2 -1 2 -1}}
| Werckmeister's undecimal septenarian schisma, werckisma
| Werckmeister's undecimal septenarian schisma, werckisma
Line 251: Line 251:
| [[540/539]]
| [[540/539]]
| 3.2090
| 3.2090
| (2/7)<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>*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}}
| Swets' comma, swetisma
| Swets' comma, swetisma
Line 257: Line 257:
| [[3025/3024]]
| [[3025/3024]]
| 0.57240
| 0.57240
| (5*11)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| (5*11)<sup>2</sup>/(2<sup>4</sup>*3<sup>2</sup>*7)
| {{Monzo|-4 -3 2 -1 2}}
| {{Monzo|-4 -3 2 -1 2}}
| Lehmerisma
| Lehmerisma
Line 263: Line 263:
| [[9801/9800]]
| [[9801/9800]]
| 0.17665
| 0.17665
| [11/(5*7)]<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>/2<span style="font-size: 70%; vertical-align: super;">3</span>
| [11/(5*7)]<sup>2</sup>*3<sup>4</sup>/2<sup>3</sup>
| {{Monzo|-3 4 -2 -2 2}}
| {{Monzo|-3 4 -2 -2 2}}
| Gauss comma, kalisma
| Gauss comma, kalisma
Line 271: Line 271:
| [[13/12]]
| [[13/12]]
| 138.573
| 138.573
| 13/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3)
| 13/(2<sup>2</sup>*3)
| {{Monzo|-2 -1 0 0 0 1}}
| {{Monzo|-2 -1 0 0 0 1}}
| tridecimal 2/3-tone
| tridecimal 2/3-tone
Line 283: Line 283:
| [[26/25]]
| [[26/25]]
| 67.900
| 67.900
| (2*13)/5<span style="font-size: 70%; vertical-align: super;">2</span>
| (2*13)/5<sup>2</sup>
| {{Monzo|1 0 -2 0 0 1}}
| {{Monzo|1 0 -2 0 0 1}}
| tridecimal 1/3-tone
| tridecimal 1/3-tone
Line 289: Line 289:
| [[27/26]]
| [[27/26]]
| 65.337
| 65.337
| 3<span style="font-size: 70%; vertical-align: super;">3</span>/(2*13)
| 3<sup>3</sup>/(2*13)
| {{Monzo|-1 3 0 0 0 -1}}
| {{Monzo|-1 3 0 0 0 -1}}
| tridecimal comma
| tridecimal comma
Line 295: Line 295:
| [[40/39]]
| [[40/39]]
| 43.831
| 43.831
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*5)/(3*13)
| (2<sup>3</sup>*5)/(3*13)
| {{Monzo|3 -1 1 0 0 -1}}
| {{Monzo|3 -1 1 0 0 -1}}
| tridecimal minor diesis
| tridecimal minor diesis
Line 301: Line 301:
| [[65/64]]
| [[65/64]]
| 26.841
| 26.841
| (5*13)/2<span style="font-size: 70%; vertical-align: super;">6</span>
| (5*13)/2<sup>6</sup>
| {{Monzo|-6 0 1 0 0 1}}
| {{Monzo|-6 0 1 0 0 1}}
| wilsorma, 13th-partial chroma
| wilsorma, 13th-partial chroma
Line 319: Line 319:
| [[91/90]]
| [[91/90]]
| 19.130
| 19.130
| (7*13)/(2*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| (7*13)/(2*3<sup>2</sup>*5)
| {{Monzo|-1 -2 -1 1 0 1}}
| {{Monzo|-1 -2 -1 1 0 1}}
| [[The_Biosphere|Biome]] comma, superleap comma
| [[The_Biosphere|Biome]] comma, superleap comma
Line 325: Line 325:
| [[105/104]]
| [[105/104]]
| 16.567
| 16.567
| (3*5*7)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*13)
| (3*5*7)/(2<sup>3</sup>*13)
| {{Monzo|-3 1 1 1 0 -1}}
| {{Monzo|-3 1 1 1 0 -1}}
| small tridecimal comma, animist comma
| small tridecimal comma, animist comma
Line 331: Line 331:
| [[144/143]]
| [[144/143]]
| 12.064
| 12.064
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3)<span style="font-size: 70%; vertical-align: super;">2</span>/(11*13)
| (2<sup>2</sup>*3)<sup>2</sup>/(11*13)
| {{Monzo|4 2 0 0 -1 -1}}
| {{Monzo|4 2 0 0 -1 -1}}
| grossma
| grossma
Line 337: Line 337:
| [[169/168]]
| [[169/168]]
| 10.274
| 10.274
| 13<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*7)
| 13<sup>2</sup>/(2<sup>3</sup>*3*7)
| {{Monzo|-3 -1 0 -1 0 2}}
| {{Monzo|-3 -1 0 -1 0 2}}
| buzurgisma, dhanvantarisma
| buzurgisma, dhanvantarisma
Line 343: Line 343:
| [[196/195]]
| [[196/195]]
| 8.8554
| 8.8554
| (2*7)<span style="font-size: 70%; vertical-align: super;">2</span>/(3*5*13)
| (2*7)<sup>2</sup>/(3*5*13)
| {{Monzo|2 -1 -1 2 0 -1}}
| {{Monzo|2 -1 -1 2 0 -1}}
| marveltwin comma
| marveltwin comma
Line 349: Line 349:
| [[325/324]]
| [[325/324]]
| 5.3351
| 5.3351
| (5<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>)
| (5<sup>2</sup>*13)/(2<sup>2</sup>*3<sup>4</sup>)
| {{Monzo|-2 -4 2 0 0 1}}
| {{Monzo|-2 -4 2 0 0 1}}
|  
|  
Line 355: Line 355:
| [[351/350]]
| [[351/350]]
| 4.9393
| 4.9393
| (3/5)<span style="font-size: 70%; vertical-align: super;">2</span>*13/(2*7)
| (3/5)<sup>2</sup>*13/(2*7)
| {{Monzo|-1 3 -2 -1 0 1}}
| {{Monzo|-1 3 -2 -1 0 1}}
| ratwolfsma
| ratwolfsma
Line 361: Line 361:
| [[352/351]]
| [[352/351]]
| 4.9253
| 4.9253
| (2<span style="font-size: 70%; vertical-align: super;">5</span>*11)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| (2<sup>5</sup>*11)/(3<sup>2</sup>*13)
| {{Monzo|5 -3 0 0 1 -1}}
| {{Monzo|5 -3 0 0 1 -1}}
| minthma
| minthma
Line 367: Line 367:
| [[364/363]]
| [[364/363]]
| 4.7627
| 4.7627
| (2/11)<span style="font-size: 70%; vertical-align: super;">2</span>*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}}
| gentle comma
| gentle comma
Line 441: Line 441:
| [[17/16]]
| [[17/16]]
| 104.955
| 104.955
| 17/2<span style="font-size: 70%; vertical-align: super;">4</span>
| 17/2<sup>4</sup>
| {{Monzo|-4 0 0 0 0 0 1}}
| {{Monzo|-4 0 0 0 0 0 1}}
| 17th harmonic (octave reduced)
| 17th harmonic (octave reduced)
Line 447: Line 447:
| [[18/17]]
| [[18/17]]
| 98.955
| 98.955
| (2*3<span style="font-size: 70%; vertical-align: super;">2</span>)/17
| (2*3<sup>2</sup>)/17
| {{Monzo|1 2 0 0 0 0 -1}}
| {{Monzo|1 2 0 0 0 0 -1}}
| Arabic lute index finger
| Arabic lute index finger
Line 465: Line 465:
| [[51/50]]
| [[51/50]]
| 34.283
| 34.283
| (3*17)/(2*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| (3*17)/(2*5<sup>2</sup>)
| {{Monzo|-1 1 -2 0 0 0 1}}
| {{Monzo|-1 1 -2 0 0 0 1}}
| 17th-partial chroma
| 17th-partial chroma
Line 471: Line 471:
| [[52/51]]
| [[52/51]]
| 33.617
| 33.617
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(3*17)
| (2<sup>2</sup>*13)/(3*17)
| {{Monzo|2 -1 0 0 0 1 -1}}
| {{Monzo|2 -1 0 0 0 1 -1}}
|  
|  
Line 477: Line 477:
| [[85/84]]
| [[85/84]]
| 20.488
| 20.488
| (5*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*7)
| (5*17)/(2<sup>2</sup>*3*7)
| {{Monzo|-2 -1 1 -1 0 0 1}}
| {{Monzo|-2 -1 1 -1 0 0 1}}
|  
|  
Line 483: Line 483:
| 120/119
| 120/119
| 14.487
| 14.487
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3*5)/(7*17)
| (2<sup>3</sup>*3*5)/(7*17)
| {{Monzo|3 1 1 -1 0 0 -1}}
| {{Monzo|3 1 1 -1 0 0 -1}}
|  
|  
Line 489: Line 489:
| 136/135
| 136/135
| 12.777
| 12.777
| (2/3)<span style="font-size: 70%; vertical-align: super;">3</span>*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}}
|  
|  
Line 495: Line 495:
| 154/153
| 154/153
| 11.278
| 11.278
| (2*7*11)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2*7*11)/(3<sup>2</sup>*17)
| {{Monzo|1 -2 0 1 1 0 -1}}
| {{Monzo|1 -2 0 1 1 0 -1}}
|  
|  
Line 501: Line 501:
| 170/169
| 170/169
| 10.214
| 10.214
| (2*5*17)/13<span style="font-size: 70%; vertical-align: super;">2</span>
| (2*5*17)/13<sup>2</sup>
| {{Monzo|1 0 1 0 0 -2 1}}
| {{Monzo|1 0 1 0 0 -2 1}}
|  
|  
Line 507: Line 507:
| 221/220
| 221/220
| 7.8514
| 7.8514
| (13*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*11)
| (13*17)/(2<sup>2</sup>*5*11)
| {{Monzo|-2 0 -1 0 -1 1 1}}
| {{Monzo|-2 0 -1 0 -1 1 1}}
|  
|  
Line 513: Line 513:
| 256/255
| 256/255
| 6.7759
| 6.7759
| (2<span style="font-size: 70%; vertical-align: super;">8</span>)/(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}}
| 255th subharmonic
| 255th subharmonic
Line 519: Line 519:
| 273/272
| 273/272
| 6.3532
| 6.3532
| (3*7*13)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*17)
| (3*7*13)/(2<sup>4</sup>*17)
| {{Monzo|-4 1 0 1 0 1 -1}}
| {{Monzo|-4 1 0 1 0 1 -1}}
|  
|  
Line 525: Line 525:
| 289/288
| 289/288
| 6.0008
| 6.0008
| (17/3)<span style="font-size: 70%; vertical-align: super;">2</span>/2<span style="font-size: 70%; vertical-align: super;">5</span>
| (17/3)<sup>2</sup>/2<sup>5</sup>
| {{Monzo|-5 -2 0 0 0 0 2}}
| {{Monzo|-5 -2 0 0 0 0 2}}
|  
|  
Line 531: Line 531:
| 375/374
| 375/374
| 4.6228
| 4.6228
| (3*5<span style="font-size: 70%; vertical-align: super;">3</span>)/(2*11*17)
| (3*5<sup>3</sup>)/(2*11*17)
| {{Monzo|-1 1 3 0 -1 0 -1}}
| {{Monzo|-1 1 3 0 -1 0 -1}}
|  
|  
Line 537: Line 537:
| 442/441
| 442/441
| 3.9213
| 3.9213
| (2*13*17)/(3*7)<span style="font-size: 70%; vertical-align: super;">2</span>
| (2*13*17)/(3*7)<sup>2</sup>
| {{Monzo|1 -2 0 -2 0 1 1}}
| {{Monzo|1 -2 0 -2 0 1 1}}
|  
|  
Line 543: Line 543:
| 561/560
| 561/560
| 3.0887
| 3.0887
| (3*11*17)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*5*7)
| (3*11*17)/(2<sup>4</sup>*5*7)
| {{Monzo|-4 1 -1 -1 1 0 1}}
| {{Monzo|-4 1 -1 -1 1 0 1}}
|  
|  
Line 549: Line 549:
| 595/594
| 595/594
| 2.9121
| 2.9121
| (5*7*17)/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*11)
| (5*7*17)/(2*3<sup>3</sup>*11)
| {{Monzo|-1 -3 1 1 -1 0 1}}
| {{Monzo|-1 -3 1 1 -1 0 1}}
|  
|  
Line 561: Line 561:
| 833/832
| 833/832
| 2.0796
| 2.0796
| (7<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">6</span>*13)
| (7<sup>2</sup>*17)/(2<sup>6</sup>*13)
| {{Monzo|-6 0 0 2 0 -1 1}}
| {{Monzo|-6 0 0 2 0 -1 1}}
|  
|  
Line 567: Line 567:
| 936/935
| 936/935
| 1.8506
| 1.8506
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(5*11*17)
| (2<sup>3</sup>*3<sup>2</sup>*13)/(5*11*17)
| {{Monzo|3 2 -1 0 -1 1 -1}}
| {{Monzo|3 2 -1 0 -1 1 -1}}
|  
|  
Line 573: Line 573:
| 1089/1088
| 1089/1088
| 1.5905
| 1.5905
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*11<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">6</span>*17)
| (3<sup>2</sup>*11<sup>2</sup>)/(2<sup>6</sup>*17)
| {{Monzo|-6 2 0 0 2 0 -1}}
| {{Monzo|-6 2 0 0 2 0 -1}}
| twosquare comma
| twosquare comma
Line 579: Line 579:
| 1156/1155
| 1156/1155
| 1.4983
| 1.4983
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)/(3*5*7*11)
| (2<sup>2</sup>*17<sup>2</sup>)/(3*5*7*11)
| {{Monzo|2 -1 -1 -1 -1 0 2}}
| {{Monzo|2 -1 -1 -1 -1 0 2}}
|  
|  
Line 585: Line 585:
| 1225/1224
| 1225/1224
| 1.4138
| 1.4138
| (5<span style="font-size: 70%; vertical-align: super;">2</span>*7<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (5<sup>2</sup>*7<sup>2</sup>)/(2<sup>3</sup>*3<sup>2</sup>*17)
| {{Monzo|-3 -2 2 2 0 0 -1}}
| {{Monzo|-3 -2 2 2 0 0 -1}}
|  
|  
Line 591: Line 591:
| 1275/1274
| 1275/1274
| 1.3584
| 1.3584
| (3*5<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2*7<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| (3*5<sup>2</sup>*17)/(2*7<sup>2</sup>*13)
| {{Monzo|-1 1 2 -2 0 -1 1}}
| {{Monzo|-1 1 2 -2 0 -1 1}}
|  
|  
Line 597: Line 597:
| 1701/1700
| 1701/1700
| 1.0181
| 1.0181
| (3<span style="font-size: 70%; vertical-align: super;">5</span>*7)/[(2*5)<span style="font-size: 70%; vertical-align: super;">2</span>*17]
| (3<sup>5</sup>*7)/[(2*5)<sup>2</sup>*17]
| {{Monzo|-2 5 -2 1 0 0 -1}}
| {{Monzo|-2 5 -2 1 0 0 -1}}
|  
|  
Line 603: Line 603:
| 2058/2057
| 2058/2057
| 0.8414
| 0.8414
| (2*3*7<span style="font-size: 70%; vertical-align: super;">3</span>)/(11<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2*3*7<sup>3</sup>)/(11<sup>2</sup>*17)
| {{Monzo|1 1 0 3 -2 0 -1}}
| {{Monzo|1 1 0 3 -2 0 -1}}
| xenisma
| xenisma
Line 609: Line 609:
| 2431/2430
| 2431/2430
| 0.7123
| 0.7123
| (11*13*17)/(2*3<span style="font-size: 70%; vertical-align: super;">5</span>*5)
| (11*13*17)/(2*3<sup>5</sup>*5)
| {{Monzo|-1 -5 -1 0 1 1 1}}
| {{Monzo|-1 -5 -1 0 1 1 1}}
|  
|  
Line 615: Line 615:
| 2500/2499
| 2500/2499
| 0.6926
| 0.6926
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">4</span>)/(3*7<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2<sup>2</sup>*5<sup>4</sup>)/(3*7<sup>2</sup>*17)
| {{Monzo|2 -1 4 -2 0 0 -1}}
| {{Monzo|2 -1 4 -2 0 0 -1}}
|  
|  
Line 621: Line 621:
| 2601/2600
| 2601/2600
| 0.6657
| 0.6657
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| (3<sup>2</sup>*17<sup>2</sup>)/(2<sup>3</sup>*5<sup>2</sup>*13)
| {{Monzo|-3 2 -2 0 0 -1 2}}
| {{Monzo|-3 2 -2 0 0 -1 2}}
|  
|  
Line 627: Line 627:
| 4914/4913
| 4914/4913
| 0.3523
| 0.3523
| (2*3<span style="font-size: 70%; vertical-align: super;">3</span>*7*13)/(17<span style="font-size: 70%; vertical-align: super;">3</span>)
| (2*3<sup>3</sup>*7*13)/(17<sup>3</sup>)
| {{Monzo|1 3 0 1 0 1 -3}}
| {{Monzo|1 3 0 1 0 1 -3}}
|  
|  
Line 633: Line 633:
| 5832/5831
| 5832/5831
| 0.2969
| 0.2969
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">6</span>)/(7<span style="font-size: 70%; vertical-align: super;">3</span>*17)
| (2<sup>3</sup>*3<sup>6</sup>)/(7<sup>3</sup>*17)
| {{Monzo|3 6 0 -3 0 0 -1}}
| {{Monzo|3 6 0 -3 0 0 -1}}
|  
|  
Line 639: Line 639:
| 12376/12375
| 12376/12375
| 0.1399
| 0.1399
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*7*13*17)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">3</span>*11)
| (2<sup>3</sup>*7*13*17)/(3<sup>2</sup>*5<sup>3</sup>*11)
| {{Monzo|3 -2 -3 1 -1 1 1}}
| {{Monzo|3 -2 -3 1 -1 1 1}}
|  
|  
Line 645: Line 645:
| 14400/14399
| 14400/14399
| 0.1202
| 0.1202
| (2<span style="font-size: 70%; vertical-align: super;">6</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(7*11<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2<sup>6</sup>*3<sup>2</sup>*5<sup>2</sup>)/(7*11<sup>2</sup>*17)
| {{Monzo|6 2 2 -1 -2 0 -1}}
| {{Monzo|6 2 2 -1 -2 0 -1}}
|  
|  
Line 651: Line 651:
| 28561/28560
| 28561/28560
| 0.0606
| 0.0606
| (13<span style="font-size: 70%; vertical-align: super;">4</span>)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3*5*7*17)
| (13<sup>4</sup>)/(2<sup>4</sup>*3*5*7*17)
| {{Monzo|-4 -1 -1 -1 0 4 -1}}
| {{Monzo|-4 -1 -1 -1 0 4 -1}}
|  
|  
Line 657: Line 657:
| 31213/31212
| 31213/31212
| 0.0555
| 0.0555
| (7<span style="font-size: 70%; vertical-align: super;">4</span>*13)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)
| (7<sup>4</sup>*13)/(2<sup>2</sup>*3<sup>3</sup>*17<sup>2</sup>)
| {{Monzo|-2 -3 0 4 0 1 -2}}
| {{Monzo|-2 -3 0 4 0 1 -2}}
|  
|  
Line 663: Line 663:
| 37180/37179
| 37180/37179
| 0.0466
| 0.0466
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*5*11*13<span style="font-size: 70%; vertical-align: super;">2</span>)/(3<span style="font-size: 70%; vertical-align: super;">7</span>*17)
| (2<sup>2</sup>*5*11*13<sup>2</sup>)/(3<sup>7</sup>*17)
| {{Monzo|2 -7 1 0 1 2 -1}}
| {{Monzo|2 -7 1 0 1 2 -1}}
|  
|  
Line 669: Line 669:
| 194481/194480
| 194481/194480
| 0.0089
| 0.0089
| (3<span style="font-size: 70%; vertical-align: super;">4</span>*7<span style="font-size: 70%; vertical-align: super;">4</span>)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*5*11*13*17)
| (3<sup>4</sup>*7<sup>4</sup>)/(2<sup>4</sup>*5*11*13*17)
| {{Monzo|-4 4 -1 4 -1 -1 -1}}
| {{Monzo|-4 4 -1 4 -1 -1 -1}}
| scintillisma
| scintillisma
Line 675: Line 675:
| 336141/336140
| 336141/336140
| 0.0052
| 0.0052
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*13<span style="font-size: 70%; vertical-align: super;">3</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*7<span style="font-size: 70%; vertical-align: super;">5</span>)
| (3<sup>2</sup>*13<sup>3</sup>*17)/(2<sup>2</sup>*5*7<sup>5</sup>)
| {{Monzo|-2 2 -1 -5 0 3 1}}
| {{Monzo|-2 2 -1 -5 0 3 1}}
|  
|  
Line 683: Line 683:
| [[19/18]]
| [[19/18]]
| 93.603
| 93.603
| 19/(2*3<span style="font-size: 70%; vertical-align: super;">2</span>)
| 19/(2*3<sup>2</sup>)
| {{Monzo|-1 -2 0 0 0 0 0 1}}
| {{Monzo|-1 -2 0 0 0 0 0 1}}
| undevicesimal semitone
| undevicesimal semitone
Line 689: Line 689:
| [[20/19]]
| [[20/19]]
| 88.801
| 88.801
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*5)/19
| (2<sup>2</sup>*5)/19
| {{Monzo|2 0 1 0 0 0 0 -1}}
| {{Monzo|2 0 1 0 0 0 0 -1}}
| small undevicesimal semitone
| small undevicesimal semitone
Line 701: Line 701:
| [[57/56]]
| [[57/56]]
| 30.642
| 30.642
| (3*19)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*7)
| (3*19)/(2<sup>3</sup>*7)
| {{Monzo|-3 1 0 -1 0 0 0 1}}
| {{Monzo|-3 1 0 -1 0 0 0 1}}
|  
|  
Line 707: Line 707:
| [[76/75]]
| [[76/75]]
| 22.931
| 22.931
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*19)/(3*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| (2<sup>2</sup>*19)/(3*5<sup>2</sup>)
| {{Monzo|2 -1 -2 0 0 0 0 1}}
| {{Monzo|2 -1 -2 0 0 0 0 1}}
|  
|  
Line 713: Line 713:
| [[77/76]]
| [[77/76]]
| 22.631
| 22.631
| (7*11)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*19)
| (7*11)/(2<sup>2</sup>*19)
| {{Monzo|-2 0 0 1 1 0 0 -1}}
| {{Monzo|-2 0 0 1 1 0 0 -1}}
|  
|  
Line 719: Line 719:
| [[96/95]]
| [[96/95]]
| 18.128
| 18.128
| (2<span style="font-size: 70%; vertical-align: super;">5</span>*3)/(5*19)
| (2<sup>5</sup>*3)/(5*19)
| {{Monzo|5 1 -1 0 0 0 0 -1}}
| {{Monzo|5 1 -1 0 0 0 0 -1}}
|  
|  
Line 725: Line 725:
| 133/132
| 133/132
| 13.066
| 13.066
| (19*7)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*11)
| (19*7)/(2<sup>2</sup>*3*11)
| {{Monzo|-2 -1 0 1 -1 0 0 1}}
| {{Monzo|-2 -1 0 1 -1 0 0 1}}
|  
|  
Line 731: Line 731:
| 153/152
| 153/152
| 11.352
| 11.352
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*19)
| (3<sup>2</sup>*17)/(2<sup>3</sup>*19)
| {{Monzo|-3 2 0 0 0 0 1 -1}}
| {{Monzo|-3 2 0 0 0 0 1 -1}}
|  
|  
Line 737: Line 737:
| 171/170
| 171/170
| 10.154
| 10.154
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*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}}
|  
|  
Line 743: Line 743:
| 190/189
| 190/189
| 9.1358
| 9.1358
| (2*5*19)/(3<span style="font-size: 70%; vertical-align: super;">3</span>*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}}
|  
|  
Line 749: Line 749:
| 209/208
| 209/208
| 8.3033
| 8.3033
| (11*19)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*13)
| (11*19)/(2<sup>4</sup>*13)
| {{Monzo|-4 0 0 0 1 -1 0 1}}
| {{Monzo|-4 0 0 0 1 -1 0 1}}
|  
|  
Line 767: Line 767:
| 324/323
| 324/323
| 5.3516
| 5.3516
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>)/(17*19)
| (2<sup>2</sup>*3<sup>4</sup>)/(17*19)
| {{Monzo|2 4 0 0 0 0 -1 -1}}
| {{Monzo|2 4 0 0 0 0 -1 -1}}
|  
|  
Line 773: Line 773:
| 343/342
| 343/342
| 5.0547
| 5.0547
| 7<span style="font-size: 70%; vertical-align: super;">4</span>/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*19)
| 7<sup>4</sup>/(2*3<sup>3</sup>*19)
| {{Monzo|-1 -2 0 3 0 0 0 -1}}
| {{Monzo|-1 -2 0 3 0 0 0 -1}}
|  
|  
Line 779: Line 779:
| 361/360
| 361/360
| 4.8023
| 4.8023
| 19<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| 19<sup>2</sup>/(2<sup>3</sup>*3<sup>2</sup>*5)
| {{Monzo|-3 -2 -1 0 0 0 0 2}}
| {{Monzo|-3 -2 -1 0 0 0 0 2}}
|  
|  
Line 785: Line 785:
| 400/399
| 400/399
| 4.3335
| 4.3335
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(3*7*19)
| (2<sup>4</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}}
|  
|  
Line 791: Line 791:
| 456/455
| 456/455
| 3.8007
| 3.8007
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3*19)/(5*7*13)
| (2<sup>3</sup>*3*19)/(5*7*13)
| {{Monzo|3 1 -1 -1 0 -1 0 1}}
| {{Monzo|3 1 -1 -1 0 -1 0 1}}
|  
|  
Line 797: Line 797:
| 476/475
| 476/475
| 3.6409
| 3.6409
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*7*17)/(5<span style="font-size: 70%; vertical-align: super;">2</span>*19)
| (2<sup>2</sup>*7*17)/(5<sup>2</sup>*19)
| {{Monzo|2 0 -2 1 0 0 1 -1}}
| {{Monzo|2 0 -2 1 0 0 1 -1}}
|  
|  
Line 803: Line 803:
| 495/494
| 495/494
| 3.501
| 3.501
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*5*11)/(2*13*19)
| (3<sup>2</sup>*5*11)/(2*13*19)
| {{Monzo|-1 2 1 0 1 -1 0 -1}}
| {{Monzo|-1 2 1 0 1 -1 0 -1}}
|  
|  
Line 809: Line 809:
| 513/512
| 513/512
| 3.378
| 3.378
| (3<span style="font-size: 70%; vertical-align: super;">3</span>*19)/2<span style="font-size: 70%; vertical-align: super;">9</span>
| (3<sup>3</sup>*19)/2<sup>9</sup>
| {{Monzo|-9 3 0 0 0 0 0 1}}
| {{Monzo|-9 3 0 0 0 0 0 1}}
| 513th harmonic
| 513th harmonic
Line 823: Line 823:
| [[24/23]]
| [[24/23]]
| 73.681
| 73.681
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3)/23
| (2<sup>3</sup>*3)/23
|  
|  
|  
|  
Line 829: Line 829:
| [[46/45]]
| [[46/45]]
| 38.051
| 38.051
| (2*23)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| (2*23)/(3<sup>2</sup>*5)
|  
|  
|  
|  
Line 835: Line 835:
| [[69/68]]
| [[69/68]]
| 25.274
| 25.274
| (3*23)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (3*23)/(2<sup>2</sup>*17)
|  
|  
|  
|  
Line 847: Line 847:
| [[92/91]]
| [[92/91]]
| 18.921
| 18.921
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*23)/(7*13)
| (2<sup>2</sup>*23)/(7*13)
|  
|  
|  
|  
Line 859: Line 859:
| 161/160
| 161/160
| 10.7865
| 10.7865
| (7*23)/(2<span style="font-size: 70%; vertical-align: super;">5</span>*5)
| (7*23)/(2<sup>5</sup>*5)
|  
|  
|  
|  
Line 865: Line 865:
| 162/161
| 162/161
| 10.720
| 10.720
| (2*3<span style="font-size: 70%; vertical-align: super;">4</span>)/(7*23)
| (2*3<sup>4</sup>)/(7*23)
|  
|  
|  
|  
Line 871: Line 871:
| 208/207
| 208/207
| 8.343
| 8.343
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*13)/(23*9)
| (2<sup>4</sup>*13)/(23*9)
|  
|  
|  
|  
Line 877: Line 877:
| 576/575
| 576/575
| 3.008
| 3.008
| (2<span style="font-size: 70%; vertical-align: super;">6</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/(23*25)
| (2<sup>6</sup>*3<sup>2</sup>)/(23*25)
|  
|  
|  
|  
Line 885: Line 885:
| [[29/28]]
| [[29/28]]
| 60.751
| 60.751
| 29/(2<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| 29/(2<sup>2</sup>*7)
|  
|  
|  
|  
Line 903: Line 903:
| [[88/87]]
| [[88/87]]
| 19.786
| 19.786
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*11)/(3*29)
| (2<sup>3</sup>*11)/(3*29)
|  
|  
|  
|  
Line 917: Line 917:
| [[32/31]]
| [[32/31]]
| 54.964
| 54.964
| 2<span style="font-size: 70%; vertical-align: super;">5</span>/31
| 2<sup>5</sup>/31
|  
|  
| 31st subharmonic
| 31st subharmonic
Line 923: Line 923:
| [[63/62]]
| [[63/62]]
| 27.700
| 27.700
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*7)/(2*31)
| (3<sup>2</sup>*7)/(2*31)
|  
|  
|  
|  
Line 929: Line 929:
| [[93/92]]
| [[93/92]]
| 18.716
| 18.716
| (3*31)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*23)
| (3*31)/(2<sup>2</sup>*23)
|  
|  
|  
|  
Line 937: Line 937:
| [[37/36]]
| [[37/36]]
| 47.434
| 47.434
| 37/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)
| 37/(2<sup>2</sup>*3<sup>2</sup>)
|  
|  
|  
|  
Line 949: Line 949:
| [[75/74]]
| [[75/74]]
| 23.238
| 23.238
| (3*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(2*37)
| (3*5<sup>2</sup>)/(2*37)
|  
|  
|  
|  
Line 957: Line 957:
| [[41/40]]
| [[41/40]]
| 42.749
| 42.749
| 41/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5)
| 41/(2<sup>3</sup>*5)
|  
|  
|  
|  
Line 969: Line 969:
| [[82/81]]
| [[82/81]]
| 21.242
| 21.242
| (2*41)/3<span style="font-size: 70%; vertical-align: super;">4</span>
| (2*41)/3<sup>4</sup>
|  
|  
|  
|  
Line 983: Line 983:
| [[44/43]]
| [[44/43]]
| 39.800
| 39.800
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*11)/43
| (2<sup>2</sup>*11)/43
|  
|  
|  
|  
Line 1,009: Line 1,009:
| [[48/47]]
| [[48/47]]
| 36.448
| 36.448
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*3)/47
| (2<sup>4</sup>*3)/47
|  
|  
|  
|  
Line 1,029: Line 1,029:
| [[53/52]]
| [[53/52]]
| 32.977
| 32.977
| 53/(2<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| 53/(2<sup>2</sup>*13)
|  
|  
|  
|  
Line 1,035: Line 1,035:
| [[54/53]]
| [[54/53]]
| 32.360
| 32.360
| (2*3<span style="font-size: 70%; vertical-align: super;">3</span>)/53
| (2*3<sup>3</sup>)/53
|  
|  
|  
|  
Line 1,049: Line 1,049:
| [[60/59]]
| [[60/59]]
| 29.097
| 29.097
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3*5)/59
| (2<sup>2</sup>*3*5)/59
|  
|  
|  
|  
Line 1,057: Line 1,057:
| [[61/60]]
| [[61/60]]
| 28.616
| 28.616
| 61/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*5)
| 61/(2<sup>2</sup>*3*5)
|  
|  
|  
|  
Line 1,077: Line 1,077:
| [[68/67]]
| [[68/67]]
| 25.648
| 25.648
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*17)/67
| (2<sup>2</sup>*17)/67
|  
|  
|  
|  
Line 1,091: Line 1,091:
| [[72/71]]
| [[72/71]]
| 24.213
| 24.213
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/71
| (2<sup>3</sup>*3<sup>2</sup>)/71
|  
|  
|  
|  
Line 1,099: Line 1,099:
| [[73/72]]
| [[73/72]]
| 23.879
| 23.879
| 73/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)
| 73/(2<sup>3</sup>*3<sup>2</sup>)
|  
|  
|  
|  
Line 1,119: Line 1,119:
| [[80/79]]
| [[80/79]]
| 21.777
| 21.777
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*5)/79
| (2<sup>4</sup>*5)/79
|  
|  
|  
|  
Line 1,133: Line 1,133:
| [[84/83]]
| [[84/83]]
| 20.734
| 20.734
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3*7)/83
| (2<sup>2</sup>*3*7)/83
|  
|  
|  
|  
Line 1,141: Line 1,141:
| [[89/88]]
| [[89/88]]
| 19.562
| 19.562
| 89/(2<span style="font-size: 70%; vertical-align: super;">3</span>*11)
| 89/(2<sup>3</sup>*11)
|  
|  
|  
|  
Line 1,147: Line 1,147:
| [[90/89]]
| [[90/89]]
| 19.344
| 19.344
| (2*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)/89
| (2*3<sup>2</sup>*5)/89
|  
|  
|  
|  
Line 1,155: Line 1,155:
| [[97/96]]
| [[97/96]]
| 17.940
| 17.940
| 97/(2<span style="font-size: 70%; vertical-align: super;">5</span>*3)
| 97/(2<sup>5</sup>*3)
|  
|  
|  
|  
Line 1,161: Line 1,161:
| [[98/97]]
| [[98/97]]
| 17.756
| 17.756
| (2*7<span style="font-size: 70%; vertical-align: super;">2</span>)/97
| (2*7<sup>2</sup>)/97
|  
|  
|  
|  
Line 1,169: Line 1,169:
| [[101/100]]
| [[101/100]]
| 17.226
| 17.226
| 101/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| 101/(2<sup>2</sup>*5<sup>2</sup>)
|  
|  
|  
|  
Line 1,179: Line 1,179:
|  
|  
|}
|}
[[Category:interval_list]]
 
[[Category:superparticular]]
[[Category:Interval list]]
[[Category:Superparticular]]
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"