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List of superparticular intervals: Difference between revisions

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Line 18: Line 18:
| 2/1
| 2/1
| {{Monzo| 1 }}
| {{Monzo| 1 }}
| Octave, duple, 2nd harmonic
| Octave, duple, 2nd harmonic, diapason
|
|  
|}
|}


Line 49: Line 49:
| 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, major whole tone, octave-reduced 9th harmonic or harmonic ninth
| Pythagorean whole tone, Pythagorean major second, <br>major whole tone, octave-reduced 9th harmonic, harmonic ninth
| S3
| S3
|}
|}
Line 67: Line 67:
| {{Monzo| -2 0 1 }}
| {{Monzo| -2 0 1 }}
| Classic(al)/just major third, octave-reduced 5th harmonic
| Classic(al)/just major third, octave-reduced 5th harmonic
|
|  
|-
|-
| [[6/5]]
| [[6/5]]
Line 74: Line 74:
| {{Monzo| 1 1 -1 }}
| {{Monzo| 1 1 -1 }}
| Classic(al)/just minor third
| Classic(al)/just minor third
|
|  
|-
|-
| [[10/9]]
| [[10/9]]
Line 81: Line 81:
| {{Monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
| Classic(al) (whole) tone, classic major second, minor whole tone
| Classic(al) (whole) tone, classic major second, minor whole tone
|
|  
|-
|-
| [[16/15]]
| [[16/15]]
Line 119: Line 119:
| {{Monzo| -1 -1 0 1 }}
| {{Monzo| -1 -1 0 1 }}
| (Septimal) subminor third, septimal minor third
| (Septimal) subminor third, septimal minor third
|
|  
|-
|-
| [[8/7]]
| [[8/7]]
Line 125: Line 125:
| 2<sup>3</sup>/7
| 2<sup>3</sup>/7
| {{Monzo| 3 0 0 -1 }}
| {{Monzo| 3 0 0 -1 }}
| (Septimal) supermajor second, septimal whole tone, octave-reduced 7th subharmonic
| (Septimal) supermajor second, septimal whole tone, <br>octave-reduced 7th subharmonic
|
|  
|-
|-
| [[15/14]]
| [[15/14]]
Line 133: Line 133:
| {{Monzo| -1 1 1 -1 }}
| {{Monzo| -1 1 1 -1 }}
| Septimal major semitone, septimal diatonic semitone
| Septimal major semitone, septimal diatonic semitone
|
|  
|-
|-
| [[21/20]]
| [[21/20]]
Line 140: Line 140:
| {{Monzo| -2 1 -1 1 }}
| {{Monzo| -2 1 -1 1 }}
| Septimal minor semitone, large septimal chroma
| Septimal minor semitone, large septimal chroma
|
|  
|-
|-
| [[28/27]]
| [[28/27]]
Line 146: Line 146:
| (2<sup>2</sup>×7)/3<sup>3</sup>
| (2<sup>2</sup>×7)/3<sup>3</sup>
| {{Monzo| 2 -3 0 1 }}
| {{Monzo| 2 -3 0 1 }}
| Septimal 1/3-tone, small septimal chroma, (septimal) subminor second, septimal minor second, trienstonic comma
| Septimal 1/3-tone, small septimal chroma, <br>(septimal) subminor second, septimal minor second, <br>trienstonic comma
|
|  
|-
|-
| [[36/35]]
| [[36/35]]
| 48.770
| 48.770
| (2<sup>2</sup>×3<sup>2</sup>)/(5×7)
| (2×3)<sup>2</sup>/(5×7)
| {{Monzo| 2 2 -1 -1 }}
| {{Monzo| 2 2 -1 -1 }}
| Septimal 1/4-tone, septimal diesis
| Septimal 1/4-tone, mint comma
| S6
| S6
|-
|-
Line 160: Line 160:
| 7<sup>2</sup>/(2<sup>4</sup>×3)
| 7<sup>2</sup>/(2<sup>4</sup>×3)
| {{Monzo| -4 -1 0 2 }}
| {{Monzo| -4 -1 0 2 }}
| Slendro diesis, large septimal diesis, large septimal 1/6-tone
| Slendro diesis, large septimal diesis, <br>large septimal 1/6-tone
| S7
| S7
|-
|-
Line 167: Line 167:
| 2×(5/7)<sup>2</sup>
| 2×(5/7)<sup>2</sup>
| {{Monzo| 1 0 2 -2 }}
| {{Monzo| 1 0 2 -2 }}
| Jubilisma, tritonic diesis, small septimal diesis, small septimal 1/6-tone
| Jubilisma, tritonic diesis, <br>small septimal diesis, small septimal 1/6-tone
|
|  
|-
|-
| [[64/63]]
| [[64/63]]
Line 182: Line 182:
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| Starling comma, septimal semicomma
| Starling comma, septimal semicomma
|
|  
|-
|-
| [[225/224]]
| [[225/224]]
Line 203: Line 203:
| {{Monzo| -1 -7 4 1 }}
| {{Monzo| -1 -7 4 1 }}
| Ragisma
| Ragisma
|
|  
|}
|}


Line 219: Line 219:
| 11/(2×5)
| 11/(2×5)
| {{Monzo| -1 0 -1 0 1 }}
| {{Monzo| -1 0 -1 0 1 }}
| (Large) undecimal neutral second, undecimal submajor second, Ptolemy's second
| Large undecimal neutral second, <br>undecimal submajor second, Ptolemy's second
|
|  
|-
|-
| [[12/11]]
| [[12/11]]
Line 226: Line 226:
| (2<sup>2</sup>×3)/11
| (2<sup>2</sup>×3)/11
| {{Monzo| 2 1 0 0 -1 }}
| {{Monzo| 2 1 0 0 -1 }}
| (Small) undecimal neutral second
| Small undecimal neutral second
|
|  
|-
|-
| [[22/21]]
| [[22/21]]
Line 234: Line 234:
| {{Monzo| 1 -1 0 -1 1 }}
| {{Monzo| 1 -1 0 -1 1 }}
| Undecimal minor semitone
| Undecimal minor semitone
|
|  
|-
|-
| [[33/32]]
| [[33/32]]
Line 240: Line 240:
| (3×11)/2<sup>5</sup>
| (3×11)/2<sup>5</sup>
| {{Monzo| -5 1 0 0 1 }}
| {{Monzo| -5 1 0 0 1 }}
| Undecimal 1/4-tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
| Undecimal 1/4-tone, undecimal diesis, <br>al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
|
|  
|-
|-
| [[45/44]]
| [[45/44]]
Line 247: Line 247:
| (3/2)<sup>2</sup>×(5/11)
| (3/2)<sup>2</sup>×(5/11)
| {{monzo| -2 2 1 0 -1 }}
| {{monzo| -2 2 1 0 -1 }}
| Undecimal 1/5-tone
| Undecimal 1/5-tone, cake comma
|
|  
|-
|-
| [[55/54]]
| [[55/54]]
Line 254: Line 254:
| (5×11)/(2×3<sup>3</sup>)
| (5×11)/(2×3<sup>3</sup>)
| {{Monzo| -1 -3 1 0 1 }}
| {{Monzo| -1 -3 1 0 1 }}
| Telepathma, eleventyfive comma, undecimal diasecundal comma
| Telepathma, eleventyfive comma, <br>undecimal diasecundal comma
|
|  
|-
|-
| [[56/55]]
| [[56/55]]
Line 262: Line 262:
| {{Monzo| 3 0 -1 1 -1 }}
| {{Monzo| 3 0 -1 1 -1 }}
| Undecimal tritonic comma, konbini comma
| Undecimal tritonic comma, konbini comma
|
|  
|-
|-
| [[99/98]]
| [[99/98]]
Line 269: Line 269:
| {{Monzo| -1 2 0 -2 1 }}
| {{Monzo| -1 2 0 -2 1 }}
| Mothwellsma, small undecimal comma
| Mothwellsma, small undecimal comma
|
|  
|-
|-
| [[100/99]]
| [[100/99]]
| 17.399
| 17.399
| (2×5/3)<sup>2</sup>/11)
| ((2×5)/3)<sup>2</sup>/11
| {{monzo| 2 -2 2 0 -1 }}
| {{monzo| 2 -2 2 0 -1 }}
| Ptolemisma, Ptolemy's comma
| Ptolemisma, Ptolemy's comma
Line 290: Line 290:
| {{Monzo| 4 0 -2 -1 1 }}
| {{Monzo| 4 0 -2 -1 1 }}
| Valinorsma
| Valinorsma
|
|  
|-
|-
| [[243/242]]
| [[243/242]]
Line 297: Line 297:
| {{Monzo| -1 5 0 0 -2 }}
| {{Monzo| -1 5 0 0 -2 }}
| Rastma, neutral thirds comma
| Rastma, neutral thirds comma
|
|  
|-
|-
| [[385/384]]
| [[385/384]]
Line 304: Line 304:
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
| Keenanisma
| Keenanisma
|
|  
|-
|-
| [[441/440]]
| [[441/440]]
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
|
|  
|-
|-
| [[3025/3024]]
| [[3025/3024]]
| 0.57240
| 0.57240
| (5×11)<sup>2</sup>/(2<sup>4</sup>×3<sup>2</sup>×7)
| (5×11)<sup>2</sup>/(2<sup>4</sup>×3<sup>3</sup>×7)
| {{Monzo| -4 -3 2 -1 2 }}
| {{Monzo| -4 -3 2 -1 2 }}
| Lehmerisma
| Lehmerisma
Line 348: Line 348:
| 13/(2<sup>2</sup>×3)
| 13/(2<sup>2</sup>×3)
| {{Monzo| -2 -1 0 0 0 1 }}
| {{Monzo| -2 -1 0 0 0 1 }}
| Large tridecimal 2/3-tone, tridecimal neutral second
| Large tridecimal 2/3-tone, <br>tridecimal neutral second
|
|  
|-
|-
| [[14/13]]
| [[14/13]]
Line 356: Line 356:
| {{Monzo| 1 0 0 1 0 -1 }}
| {{Monzo| 1 0 0 1 0 -1 }}
| Small tridecimal 2/3-tone, trienthird
| Small tridecimal 2/3-tone, trienthird
|
|  
|-
|-
| [[26/25]]
| [[26/25]]
Line 363: Line 363:
| {{Monzo| 1 0 -2 0 0 1 }}
| {{Monzo| 1 0 -2 0 0 1 }}
| Large tridecimal 1/3-tone
| Large tridecimal 1/3-tone
|
|  
|-
|-
| [[27/26]]
| [[27/26]]
Line 370: Line 370:
| {{Monzo| -1 3 0 0 0 -1 }}
| {{Monzo| -1 3 0 0 0 -1 }}
| Small tridecimal 1/3-tone
| Small tridecimal 1/3-tone
|
|  
|-
|-
| [[40/39]]
| [[40/39]]
Line 377: Line 377:
| {{Monzo| 3 -1 1 0 0 -1 }}
| {{Monzo| 3 -1 1 0 0 -1 }}
| Tridecimal minor diesis
| Tridecimal minor diesis
|
|  
|-
|-
| [[65/64]]
| [[65/64]]
Line 384: Line 384:
| {{Monzo| -6 0 1 0 0 1 }}
| {{Monzo| -6 0 1 0 0 1 }}
| Wilsorma, 13th-partial chroma
| Wilsorma, 13th-partial chroma
|
|  
|-
|-
| [[66/65]]
| [[66/65]]
Line 391: Line 391:
| {{Monzo| 1 1 -1 0 1 -1 }}
| {{Monzo| 1 1 -1 0 1 -1 }}
| Winmeanma
| Winmeanma
|
|  
|-
|-
| [[78/77]]
| [[78/77]]
Line 398: Line 398:
| {{Monzo| 1 1 0 -1 -1 1 }}
| {{Monzo| 1 1 0 -1 -1 1 }}
| Negustma
| Negustma
|
|  
|-
|-
| [[91/90]]
| [[91/90]]
Line 405: Line 405:
| {{Monzo| -1 -2 -1 1 0 1 }}
| {{Monzo| -1 -2 -1 1 0 1 }}
| Biome comma, superleap comma
| Biome comma, superleap comma
|
|  
|-
|-
| [[105/104]]
| [[105/104]]
Line 412: Line 412:
| {{Monzo| -3 1 1 1 0 -1 }}
| {{Monzo| -3 1 1 1 0 -1 }}
| Animist comma, small tridecimal comma
| Animist comma, small tridecimal comma
|
|  
|-
|-
| [[144/143]]
| [[144/143]]
Line 440: Line 440:
| {{Monzo| -2 -4 2 0 0 1 }}
| {{Monzo| -2 -4 2 0 0 1 }}
| Marveltwin comma
| Marveltwin comma
|
|  
|-
|-
| [[351/350]]
| [[351/350]]
| 4.9393
| 4.9393
| (3/5)<sup>2</sup>×13/(2×7)
| (3<sup>3</sup>×13)/(2×5<sup>2</sup>×7)
| {{Monzo| -1 3 -2 -1 0 1 }}
| {{Monzo| -1 3 -2 -1 0 1 }}
| Ratwolfsma
| Ratwolfsma
|
|  
|-
|-
| [[352/351]]
| [[352/351]]
| 4.9253
| 4.9253
| (2<sup>5</sup>×11)/(3<sup>2</sup>×13)
| (2<sup>5</sup>×11)/(3<sup>3</sup>×13)
| {{Monzo| 5 -3 0 0 1 -1 }}
| {{Monzo| 5 -3 0 0 1 -1 }}
| Major minthma, major gentle comma
| Major minthma, major gentle comma
|
|  
|-
|-
| [[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
|
|  
|-
|-
| [[625/624]]
| [[625/624]]
Line 472: Line 472:
| [[676/675]]
| [[676/675]]
| 2.5629
| 2.5629
| (2×13/5)<sup>2</sup>/3<sup>3</sup>
| ((2×13)/5)<sup>2</sup>/3<sup>3</sup>
| {{Monzo| 2 -3 -2 0 0 2 }}
| {{Monzo| 2 -3 -2 0 0 2 }}
| Island comma
| Island comma
Line 489: Line 489:
| {{Monzo| -3 0 -3 1 1 1 }}
| {{Monzo| -3 0 -3 1 1 1 }}
| Sinbadma
| Sinbadma
|
|  
|-
|-
| [[1716/1715]]
| [[1716/1715]]
Line 496: Line 496:
| {{Monzo| 2 1 -1 -3 1 1 }}
| {{Monzo| 2 1 -1 -3 1 1 }}
| Lummic comma
| Lummic comma
|
|  
|-
|-
| [[2080/2079]]
| [[2080/2079]]
Line 503: Line 503:
| {{Monzo| 5 -3 1 -1 -1 1 }}
| {{Monzo| 5 -3 1 -1 -1 1 }}
| Ibnsinma
| Ibnsinma
|
|  
|-
|-
| [[4096/4095]]
| [[4096/4095]]
Line 521: Line 521:
| [[6656/6655]]
| [[6656/6655]]
| 0.26012
| 0.26012
| (2<sup>3</sup>/11)<sup>3</sup>×13/5
| (2<sup>3</sup>/11)<sup>3</sup>×(13/5)
| {{Monzo| 9 0 -1 0 -3 1 }}
| {{Monzo| 9 0 -1 0 -3 1 }}
| Jacobin comma
| Jacobin comma
|
|  
|-
|-
| [[10648/10647]]
| [[Harmonisma|10648/10647]]
| 0.16260
| 0.16260
| (2×11)<sup>3</sup>/((3×13)<sup>2</sup>×7)
| (2×11)<sup>3</sup>/((3×13)<sup>2</sup>×7)
| {{Monzo| 3 -2 0 -1 3 -2 }}
| {{Monzo| 3 -2 0 -1 3 -2 }}
| Harmonisma
| Harmonisma
|
|  
|-
|-
| [[123201/123200]]
| [[Chalmersia|123201/123200]]
| 0.014052
| 0.014052
| (3/2)<sup>6</sup>×(13/5)<sup>2</sup>/(7×11)
| (3/2)<sup>6</sup>×(13/5)<sup>2</sup>/(7×11)
Line 554: Line 554:
| 17/2<sup>4</sup>
| 17/2<sup>4</sup>
| {{Monzo| -4 0 0 0 0 0 1 }}
| {{Monzo| -4 0 0 0 0 0 1 }}
| Large septendecimal semitone, octave-reduced 17th harmonic
| Large septendecimal semitone, <br>octave-reduced 17th harmonic
|
|  
|-
|-
| [[18/17]]
| [[18/17]]
Line 561: Line 561:
| (2×3<sup>2</sup>)/17
| (2×3<sup>2</sup>)/17
| {{Monzo| 1 2 0 0 0 0 -1 }}
| {{Monzo| 1 2 0 0 0 0 -1 }}
| Small septendecimal semitone, Arabic lute index finger
| Small septendecimal semitone, <br>Arabic lute index finger
|
|  
|-
|-
| [[34/33]]
| [[34/33]]
Line 569: Line 569:
| {{Monzo| 1 -1 0 0 -1 0 1 }}
| {{Monzo| 1 -1 0 0 -1 0 1 }}
| Large septendecimal 1/4-tone
| Large septendecimal 1/4-tone
|
|  
|-
|-
| [[35/34]]
| [[35/34]]
Line 576: Line 576:
| {{Monzo| -1 0 1 1 0 0 -1 }}
| {{Monzo| -1 0 1 1 0 0 -1 }}
| Small septendecimal 1/4-tone
| Small septendecimal 1/4-tone
|
|  
|-
|-
| [[51/50]]
| [[51/50]]
Line 583: Line 583:
| {{Monzo| -1 1 -2 0 0 0 1 }}
| {{Monzo| -1 1 -2 0 0 0 1 }}
| Large septendecimal 1/6-tone
| Large septendecimal 1/6-tone
|
|  
|-
|-
| [[52/51]]
| [[52/51]]
Line 590: Line 590:
| {{Monzo| 2 -1 0 0 0 1 -1 }}
| {{Monzo| 2 -1 0 0 0 1 -1 }}
| Small septendecimal 1/6-tone
| Small septendecimal 1/6-tone
|
|  
|-
|-
| [[85/84]]
| [[85/84]]
Line 597: Line 597:
| {{Monzo| -2 -1 1 -1 0 0 1 }}
| {{Monzo| -2 -1 1 -1 0 0 1 }}
| Monk comma
| Monk comma
|
|  
|-
|-
| [[120/119]]
| [[120/119]]
Line 604: Line 604:
| {{Monzo| 3 1 1 -1 0 0 -1 }}
| {{Monzo| 3 1 1 -1 0 0 -1 }}
| Lynchisma
| Lynchisma
|
|  
|-
|-
| [[136/135]]
| [[136/135]]
Line 611: Line 611:
| {{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
|
|  
|-
|-
| [[154/153]]
| [[154/153]]
Line 618: Line 618:
| {{Monzo| 1 -2 0 1 1 0 -1 }}
| {{Monzo| 1 -2 0 1 1 0 -1 }}
| Augustma
| Augustma
|
|  
|-
|-
| [[170/169]]
| [[170/169]]
Line 625: Line 625:
| {{Monzo| 1 0 1 0 0 -2 1 }}
| {{Monzo| 1 0 1 0 0 -2 1 }}
| Major naiadma
| Major naiadma
|
|  
|-
|-
| [[221/220]]
| [[221/220]]
Line 632: Line 632:
| {{Monzo| -2 0 -1 0 -1 1 1 }}
| {{Monzo| -2 0 -1 0 -1 1 1 }}
| Minor naiadma
| Minor naiadma
|
|  
|-
|-
| [[256/255]]
| [[256/255]]
Line 638: Line 638:
| 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 }}
| Char comma, charisma, septendecimal kleisma
| Char comma, charisma, <br>septendecimal kleisma
| S16
| S16
|-
|-
Line 646: Line 646:
| {{Monzo| -4 1 0 1 0 1 -1 }}
| {{Monzo| -4 1 0 1 0 1 -1 }}
| Tannisma, prototannisma
| Tannisma, prototannisma
|
|  
|-
|-
| [[289/288]]
| [[289/288]]
Line 667: Line 667:
| {{Monzo| 1 -2 0 -2 0 1 1 }}
| {{Monzo| 1 -2 0 -2 0 1 1 }}
| Seminaiadma
| Seminaiadma
|
|  
|-
|-
| [[561/560]]
| [[561/560]]
Line 674: Line 674:
| {{Monzo| -4 1 -1 -1 1 0 1 }}
| {{Monzo| -4 1 -1 -1 1 0 1 }}
| Monardisma, tsaharuk comma
| Monardisma, tsaharuk comma
|
|  
|-
|-
| [[595/594]]
| [[595/594]]
Line 688: Line 688:
| {{Monzo| -1 -1 1 -1 1 1 -1 }}
| {{Monzo| -1 -1 1 -1 1 1 -1 }}
| September comma, septembrisma
| September comma, septembrisma
|
|  
|-
|-
| [[833/832]]
| [[833/832]]
Line 695: Line 695:
| {{Monzo| -6 0 0 2 0 -1 1 }}
| {{Monzo| -6 0 0 2 0 -1 1 }}
| Horizma, horizon comma
| Horizma, horizon comma
|
|  
|-
|-
| [[936/935]]
| [[936/935]]
Line 702: Line 702:
| {{Monzo| 3 2 -1 0 -1 1 -1 }}
| {{Monzo| 3 2 -1 0 -1 1 -1 }}
| Ainisma, ainic comma
| Ainisma, ainic comma
|
|  
|-
|-
| [[1089/1088]]
| [[1089/1088]]
Line 730: Line 730:
| {{Monzo| -1 1 2 -2 0 -1 1 }}
| {{Monzo| -1 1 2 -2 0 -1 1 }}
| Cimbrisma
| Cimbrisma
|
|  
|-
|-
| [[1701/1700]]
| [[1701/1700]]
Line 737: Line 737:
| {{Monzo| -2 5 -2 1 0 0 -1 }}
| {{Monzo| -2 5 -2 1 0 0 -1 }}
| Palingenetic comma, palingenesis
| Palingenetic comma, palingenesis
|
|  
|-
|-
| [[2058/2057]]
| [[2058/2057]]
Line 744: Line 744:
| {{Monzo| 1 1 0 3 -2 0 -1 }}
| {{Monzo| 1 1 0 3 -2 0 -1 }}
| Xenisma
| Xenisma
|
|  
|-
|-
| [[2431/2430]]
| [[2431/2430]]
Line 751: Line 751:
| {{Monzo| -1 -5 -1 0 1 1 1 }}
| {{Monzo| -1 -5 -1 0 1 1 1 }}
| Heptacircle comma
| Heptacircle comma
|
|  
|-
|-
| [[2500/2499]]
| [[2500/2499]]
Line 772: Line 772:
| {{Monzo| 1 3 0 1 0 1 -3 }}
| {{Monzo| 1 3 0 1 0 1 -3 }}
| Baladisma
| Baladisma
|
|  
|-
|-
| [[5832/5831]]
| [[5832/5831]]
Line 779: Line 779:
| {{Monzo| 3 6 0 -3 0 0 -1 }}
| {{Monzo| 3 6 0 -3 0 0 -1 }}
| Chlorisma
| Chlorisma
|
|  
|-
|-
| [[Flashma|12376/12375]]
| [[Flashma|12376/12375]]
Line 786: Line 786:
| {{Monzo| 3 -2 -3 1 -1 1 1 }}
| {{Monzo| 3 -2 -3 1 -1 1 1 }}
| Flashma
| Flashma
|
|  
|-
|-
| [[Sparkisma|14400/14399]]
| [[Sparkisma|14400/14399]]
Line 807: Line 807:
| {{Monzo| -2 -3 0 4 0 1 -2 }}
| {{Monzo| -2 -3 0 4 0 1 -2 }}
| E-shaped comma
| E-shaped comma
|
|  
|-
|-
| [[37180/37179]]
| [[Lateral comma|37180/37179]]
| 0.046564
| 0.046564
| (2<sup>2</sup>×5×11×13<sup>2</sup>)/(3<sup>7</sup>×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 }}
| Lateral comma
| Lateral comma
|
|  
|-
|-
| [[Scintillisma|194481/194480]]
| [[Scintillisma|194481/194480]]
Line 823: Line 823:
| S441
| S441
|-
|-
| [[336141/336140]]
| [[Aksial comma|336141/336140]]
| 0.0051503
| 0.0051503
| (3<sup>2</sup>×13<sup>3</sup>×17)/(2<sup>2</sup>×5×7<sup>5</sup>)
| (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 }}
| Aksial comma
| Aksial comma
|
|  
|}
|}


Line 845: Line 845:
| {{Monzo| -1 -2 0 0 0 0 0 1 }}
| {{Monzo| -1 -2 0 0 0 0 0 1 }}
| Large undevicesimal semitone
| Large undevicesimal semitone
|
|  
|-
|-
| [[20/19]]
| [[20/19]]
Line 852: Line 852:
| {{Monzo| 2 0 1 0 0 0 0 -1 }}
| {{Monzo| 2 0 1 0 0 0 0 -1 }}
| Small undevicesimal semitone
| Small undevicesimal semitone
|
|  
|-
|-
| [[39/38]]
| [[39/38]]
Line 858: Line 858:
| (3×13)/(2×19)
| (3×13)/(2×19)
| {{Monzo| -1 1 0 0 0 1 0 -1 }}
| {{Monzo| -1 1 0 0 0 1 0 -1 }}
| Undevicesimal 2/9-tone
| Undevicesimal diesis, <br>undevicesimal 2/9-tone
|
|  
|-
|-
| [[57/56]]
| [[57/56]]
Line 866: Line 866:
| {{Monzo| -3 1 0 -1 0 0 0 1 }}
| {{Monzo| -3 1 0 -1 0 0 0 1 }}
| Hendrix comma
| Hendrix comma
|
|  
|-
|-
| [[76/75]]
| [[76/75]]
Line 873: Line 873:
| {{Monzo| 2 -1 -2 0 0 0 0 1 }}
| {{Monzo| 2 -1 -2 0 0 0 0 1 }}
| Large undevicesimal 1/9-tone
| Large undevicesimal 1/9-tone
|
|  
|-
|-
| [[77/76]]
| [[77/76]]
Line 880: Line 880:
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| Small undevicesimal 1/9-tone
| Small undevicesimal 1/9-tone
|
|  
|-
|-
| [[96/95]]
| [[96/95]]
Line 887: Line 887:
| {{Monzo| 5 1 -1 0 0 0 0 -1 }}
| {{Monzo| 5 1 -1 0 0 0 0 -1 }}
| 19th-partial chroma
| 19th-partial chroma
|
|  
|-
|-
| [[133/132]]
| [[133/132]]
Line 894: Line 894:
| {{Monzo| -2 -1 0 1 -1 0 0 1 }}
| {{Monzo| -2 -1 0 1 -1 0 0 1 }}
| Minithirdma
| Minithirdma
|
|  
|-
|-
| [[153/152]]
| [[153/152]]
Line 901: Line 901:
| {{Monzo| -3 2 0 0 0 0 1 -1 }}
| {{Monzo| -3 2 0 0 0 0 1 -1 }}
| Ganassisma, Ganassi's comma
| Ganassisma, Ganassi's comma
|
|  
|-
|-
| [[171/170]]
| [[171/170]]
Line 908: Line 908:
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| Malcolmisma
| Malcolmisma
|
|  
|-
|-
| [[190/189]]
| [[190/189]]
Line 915: Line 915:
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
| Cotylisma
| Cotylisma
|
|  
|-
|-
| [[209/208]]
| [[209/208]]
Line 922: Line 922:
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
| Yama comma
| Yama comma
|
|  
|-
|-
| [[210/209]]
| [[210/209]]
Line 929: Line 929:
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| Spleen comma
| Spleen comma
|
|  
|-
|-
| [[286/285]]
| [[286/285]]
Line 936: Line 936:
| {{Monzo| 1 -1 -1 0 1 1 0 -1 }}
| {{Monzo| 1 -1 -1 0 1 1 0 -1 }}
| Chthonisma
| Chthonisma
|
|  
|-
|-
| [[324/323]]
| [[324/323]]
Line 950: Line 950:
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| Nutrisma
| Nutrisma
|
|  
|-
|-
| [[361/360]]
| [[361/360]]
Line 971: Line 971:
| {{Monzo| 3 1 -1 -1 0 -1 0 1 }}
| {{Monzo| 3 1 -1 -1 0 -1 0 1 }}
| Abnobisma
| Abnobisma
|
|  
|-
|-
| [[476/475]]
| [[476/475]]
Line 978: Line 978:
| {{Monzo| 2 0 -2 1 0 0 1 -1 }}
| {{Monzo| 2 0 -2 1 0 0 1 -1 }}
| Hedwigma
| Hedwigma
|
|  
|-
|-
| [[495/494]]
| [[495/494]]
Line 985: Line 985:
| {{Monzo| -1 2 1 0 1 -1 0 -1 }}
| {{Monzo| -1 2 1 0 1 -1 0 -1 }}
| Eulalisma
| Eulalisma
|
|  
|-
|-
| [[513/512]]
| [[513/512]]
Line 991: Line 991:
| (3<sup>3</sup>×19)/2<sup>9</sup>
| (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 }}
| Undevicesimal comma, undevicesimal schisma, Boethius' comma, 513th harmonic
| Undevicesimal comma, undevicesimal schisma, <br>Boethius' comma, 513th harmonic
|
|  
|-
|-
| [[969/968]]
| [[969/968]]
Line 999: Line 999:
| {{Monzo| -3 1 0 0 -2 0 1 1 }}
| {{Monzo| -3 1 0 0 -2 0 1 1 }}
| Kingfisher comma
| Kingfisher comma
|
|  
|-
|-
| [[1216/1215]]
| [[1216/1215]]
Line 1,006: Line 1,006:
| {{Monzo| 6 -5 -1 0 0 0 0 1 }}
| {{Monzo| 6 -5 -1 0 0 0 0 1 }}
| Password comma, Eratosthenes' comma
| Password comma, Eratosthenes' comma
|
|  
|-
|-
| [[1331/1330]]
| [[1331/1330]]
Line 1,013: Line 1,013:
| {{Monzo| -1 0 -1 -1 3 0 0 -1 }}
| {{Monzo| -1 0 -1 -1 3 0 0 -1 }}
| Solvejgsma
| Solvejgsma
|
|  
|-
|-
| [[1445/1444]]
| [[1445/1444]]
Line 1,020: Line 1,020:
| {{Monzo| -2 0 1 0 0 0 2 -2 }}
| {{Monzo| -2 0 1 0 0 0 2 -2 }}
| Aureusma
| Aureusma
|
|  
|-
|-
| [[1521/1520]]
| [[1521/1520]]
Line 1,034: Line 1,034:
| {{Monzo| 2 -4 1 1 1 0 0 -1 }}
| {{Monzo| 2 -4 1 1 1 0 0 -1 }}
| Kevolisma
| Kevolisma
|
|  
|-
|-
| [[1729/1728]]
| [[1729/1728]]
Line 1,041: Line 1,041:
| {{Monzo| -6 -3 0 1 0 1 0 1 }}
| {{Monzo| -6 -3 0 1 0 1 0 1 }}
| Ramanujanisma
| Ramanujanisma
|
|  
|-
|-
| [[2376/2375]]
| [[2376/2375]]
| 0.72879
| 0.72879
| (2<sup>3</sup>×3<sup>3</sup>×11)/(5<sup>3</sup>×19)
| ((2×3)/5)<sup>3</sup>×(11/19)
| {{Monzo| 3 3 -3 0 1 0 0 -1 }}
| {{Monzo| 3 3 -3 0 1 0 0 -1 }}
| Trichthonisma
| Trichthonisma
|
|  
|-
|-
| [[2432/2431]]
| [[2432/2431]]
Line 1,055: Line 1,055:
| {{Monzo| 7 0 0 0 -1 -1 -1 1 }}
| {{Monzo| 7 0 0 0 -1 -1 -1 1 }}
| Blumeyer comma
| Blumeyer comma
|
|  
|-
|-
| [[2926/2925]]
| [[2926/2925]]
| 0.59177
| 0.59177
| (2×7×11×19)/(3<sup>2</sup>×5<sup>2</sup>×13)
| (2×7×11×19)/((3×5)<sup>2</sup>×13)
| {{Monzo| 1 -2 -2 1 1 -1 0 1 }}
| {{Monzo| 1 -2 -2 1 1 -1 0 1 }}
| Neovulture comma, neovulturisma
| Neovulture comma, neovulturisma
|
|  
|-
|-
| [[3136/3135]]
| [[3136/3135]]
Line 1,076: Line 1,076:
| {{Monzo| 1 -2 3 0 0 1 0 -2 }}
| {{Monzo| 1 -2 3 0 0 1 0 -2 }}
| Martebisma
| Martebisma
|
|  
|-
|-
| [[4200/4199]]
| [[4200/4199]]
Line 1,083: Line 1,083:
| {{Monzo| 3 1 2 1 0 -1 -1 -1 }}
| {{Monzo| 3 1 2 1 0 -1 -1 -1 }}
| Neosatanisma
| Neosatanisma
|
|  
|-
|-
| [[5776/5775]]
| [[5776/5775]]
Line 1,104: Line 1,104:
| {{Monzo| -5 2 1 1 -1 0 -1 1 }}
| {{Monzo| -5 2 1 1 -1 0 -1 1 }}
| Neogrendel comma, neogrendelisma
| Neogrendel comma, neogrendelisma
|
|  
|-
|-
| [[6175/6174]]
| [[6175/6174]]
Line 1,111: Line 1,111:
| {{Monzo| -1 -2 2 -3 0 1 0 1 }}
| {{Monzo| -1 -2 2 -3 0 1 0 1 }}
| Neonewtisma
| Neonewtisma
|
|  
|-
|-
| [[6860/6859]]
| [[6860/6859]]
Line 1,118: Line 1,118:
| {{Monzo| 2 0 1 3 0 0 0 -3 }}
| {{Monzo| 2 0 1 3 0 0 0 -3 }}
| Devicubisma
| Devicubisma
|
|  
|-
|-
| 10241/10240
| 10241/10240
Line 1,125: Line 1,125:
| {{Monzo| -11 0 -1 2 1 0 0 1 }}
| {{Monzo| -11 0 -1 2 1 0 0 1 }}
|  
|  
|
|  
|-
|-
| 10830/10829
| 10830/10829
Line 1,132: Line 1,132:
| {{Monzo| 1 1 1 -2 0 -1 -1 2 }}
| {{Monzo| 1 1 1 -2 0 -1 -1 2 }}
|  
|  
|
|  
|-
|-
| 12636/12635
| 12636/12635
Line 1,139: Line 1,139:
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
|  
|  
|
|  
|-
|-
| 13377/13376
| 13377/13376
Line 1,146: Line 1,146:
| {{Monzo| -6 1 0 3 -1 1 0 -1 }}
| {{Monzo| -6 1 0 3 -1 1 0 -1 }}
|  
|  
|
|  
|-
|-
| 14080/14079
| 14080/14079
Line 1,153: Line 1,153:
| {{Monzo| 8 -1 1 0 1 -1 0 -2 }}
| {{Monzo| 8 -1 1 0 1 -1 0 -2 }}
|  
|  
|
|  
|-
|-
| 14365/14364
| 14365/14364
Line 1,160: Line 1,160:
| {{Monzo| -2 -3 1 -1 0 2 1 -1 }}
| {{Monzo| -2 -3 1 -1 0 2 1 -1 }}
|  
|  
|
|  
|-
|-
| 23409/23408
| 23409/23408
| 0.073957
| 0.073957
| (3<sup>2</sup>×17)<sup>2</sup>/(2<sup>4</sup>×7×11×19)
| ((3/2)<sup>2</sup>×17)<sup>2</sup>/(7×11×19)
| {{Monzo| -4 4 0 -1 -1 0 2 -1 }}
| {{Monzo| -4 4 0 -1 -1 0 2 -1 }}
|  
|  
Line 1,174: Line 1,174:
| {{Monzo| 6 1 -1 0 1 1 -2 -1 }}
| {{Monzo| 6 1 -1 0 1 1 -2 -1 }}
|  
|  
|
|  
|-
|-
| 28900/28899
| 28900/28899
| 0.059905
| 0.059905
| (2×5×17)<sup>2</sup>/(3<sup>2</sup>×13<sup>2</sup>×19)
| ((2×5×17)/(3×13))<sup>2</sup>/19
| {{Monzo| 2 -2 2 0 0 -2 2 -1 }}
| {{Monzo| 2 -2 2 0 0 -2 2 -1 }}
|  
|  
Line 1,195: Line 1,195:
| {{Monzo| 5 1 -4 2 -1 -1 0 1 }}
| {{Monzo| 5 1 -4 2 -1 -1 0 1 }}
|  
|  
|
|  
|-
|-
| 104976/104975
| 104976/104975
Line 1,206: Line 1,206:
| [[Decimillisma|165376/165375]]
| [[Decimillisma|165376/165375]]
| 0.010469
| 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)/((3×5)<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 }}
| Decimillisma
| Decimillisma
|
|  
|-
|-
| 228096/228095
| 228096/228095
| 0.0075900
| 0.0075900
| (2<sup>8</sup>×3<sup>4</sup>×11)/(5×7<sup>4</sup>×19)
| ((2<sup>2</sup>×3)/7)<sup>4</sup>×(11/(5×19))
| {{Monzo| 8 4 -1 -4 1 0 0 -1 }}
| {{Monzo| 8 4 -1 -4 1 0 0 -1 }}
|  
|  
|
|  
|-
|-
| 601426/601425
| 601426/601425
Line 1,223: Line 1,223:
| {{Monzo| 1 -7 -2 2 -1 0 1 2 }}
| {{Monzo| 1 -7 -2 2 -1 0 1 2 }}
|  
|  
|
|  
|-
|-
| [[Devicisma|633556/633555]]
| [[Devicisma|633556/633555]]
Line 1,230: Line 1,230:
| {{Monzo| 2 -3 -1 1 3 -1 1 -2 }}
| {{Monzo| 2 -3 -1 1 3 -1 1 -2 }}
| Devicisma
| Devicisma
|
|  
|-
|-
| 709632/709631
| 709632/709631
Line 1,237: Line 1,237:
| {{Monzo| 10 2 0 1 1 -3 -1 -1 }}
| {{Monzo| 10 2 0 1 1 -3 -1 -1 }}
|  
|  
|
|  
|-
|-
| 5909761/5909760
| 5909761/5909760
Line 1,248: Line 1,248:
| 11859211/11859210
| 11859211/11859210
| 0.00014598
| 0.00014598
| (7×13×19<sup>4</sup>)/(2×3<sup>4</sup>×5×11<sup>4</sup>)
| (19/(3×11))<sup>4</sup>×((7×13)/(2×5))
| {{Monzo| -1 -4 -1 1 -4 1 0 4 }}
| {{Monzo| -1 -4 -1 1 -4 1 0 4 }}
|  
|  
|
|  
|}
|}


Line 1,267: Line 1,267:
| 23/(2×11)
| 23/(2×11)
| {{Monzo| -1 0 0 0 -1 0 0 0 1 }}
| {{Monzo| -1 0 0 0 -1 0 0 0 1 }}
| Greater vicesimotertial semitone
| Large vicesimotertial semitone
|
|  
|-
|-
| [[24/23]]
| [[24/23]]
Line 1,275: Line 1,275:
| {{Monzo| 3 1 0 0 0 0 0 0 -1 }}
| {{Monzo| 3 1 0 0 0 0 0 0 -1 }}
| Small vicesimotertial semitone
| Small vicesimotertial semitone
|
|  
|-
|-
| [[46/45]]
| [[46/45]]
Line 1,282: Line 1,282:
| {{Monzo| 1 -2 -1 0 0 0 0 0 1 }}
| {{Monzo| 1 -2 -1 0 0 0 0 0 1 }}
| Vicesimotertial 1/5-tone
| Vicesimotertial 1/5-tone
|
|  
|-
|-
| [[69/68]]
| [[69/68]]
Line 1,289: Line 1,289:
| {{Monzo| -2 1 0 0 0 0 -1 0 1 }}
| {{Monzo| -2 1 0 0 0 0 -1 0 1 }}
| Large vicesimotertial 1/8-tone
| Large vicesimotertial 1/8-tone
|
|  
|-
|-
| [[70/69]]
| [[70/69]]
Line 1,296: Line 1,296:
| {{Monzo| 1 -1 1 1 0 0 0 0 -1 }}
| {{Monzo| 1 -1 1 1 0 0 0 0 -1 }}
| Small vicesimotertial 1/8-tone
| Small vicesimotertial 1/8-tone
|
|  
|-
|-
| [[92/91]]
| [[92/91]]
Line 1,303: Line 1,303:
| {{Monzo| 2 0 0 -1 0 -1 0 0 1 }}
| {{Monzo| 2 0 0 -1 0 -1 0 0 1 }}
| Undinisma
| Undinisma
|
|  
|-
|-
| [[115/114]]
| [[115/114]]
Line 1,310: Line 1,310:
| {{Monzo| -1 -1 1 0 0 0 0 -1 1 }}
| {{Monzo| -1 -1 1 0 0 0 0 -1 1 }}
| Yarmanisma
| Yarmanisma
|
|  
|-
|-
| [[161/160]]
| [[161/160]]
Line 1,317: Line 1,317:
| {{Monzo| -5 0 -1 1 0 0 0 0 1 }}
| {{Monzo| -5 0 -1 1 0 0 0 0 1 }}
| Major kirnbergerisma
| Major kirnbergerisma
|
|  
|-
|-
| [[162/161]]
| [[162/161]]
Line 1,324: Line 1,324:
| {{Monzo| 1 4 0 -1 0 0 0 0 -1 }}
| {{Monzo| 1 4 0 -1 0 0 0 0 -1 }}
| Minor kirnbergerisma
| Minor kirnbergerisma
|
|  
|-
|-
| [[208/207]]
| [[208/207]]
Line 1,331: Line 1,331:
| {{Monzo| 4 -2 0 0 0 1 0 0 -1 }}
| {{Monzo| 4 -2 0 0 0 1 0 0 -1 }}
| Vicetone comma
| Vicetone comma
|
|  
|-
|-
| [[231/230]]
| [[231/230]]
Line 1,338: Line 1,338:
| {{Monzo| -1 1 -1 1 1 0 0 0 -1 }}
| {{Monzo| -1 1 -1 1 1 0 0 0 -1 }}
| Major neutravicema
| Major neutravicema
|
|  
|-
|-
| [[253/252]]
| [[253/252]]
Line 1,345: Line 1,345:
| {{Monzo| -2 -2 0 -1 1 0 0 0 1 }}
| {{Monzo| -2 -2 0 -1 1 0 0 0 1 }}
| Middle neutravicema
| Middle neutravicema
|
|  
|-
|-
| [[276/275]]
| [[276/275]]
Line 1,352: Line 1,352:
| {{Monzo| 2 1 -2 0 -1 0 0 0 1 }}
| {{Monzo| 2 1 -2 0 -1 0 0 0 1 }}
| Minor neutravicema
| Minor neutravicema
|
|  
|-
|-
| [[300/299]]
| [[300/299]]
Line 1,359: Line 1,359:
| {{Monzo| 2 1 2 0 0 -1 0 0 -1 }}
| {{Monzo| 2 1 2 0 0 -1 0 0 -1 }}
| Major naiadvicema
| Major naiadvicema
|
|  
|-
|-
| [[323/322]]
| [[323/322]]
Line 1,366: Line 1,366:
| {{Monzo| -1 0 0 -1 0 0 1 1 -1 }}
| {{Monzo| -1 0 0 -1 0 0 1 1 -1 }}
| Major semivicema
| Major semivicema
|
|  
|-
|-
| [[391/390]]
| [[391/390]]
Line 1,373: Line 1,373:
| {{Monzo| -1 -1 -1 0 0 -1 1 0 1 }}
| {{Monzo| -1 -1 -1 0 0 -1 1 0 1 }}
| Minor naiadvicema
| Minor naiadvicema
|
|  
|-
|-
| [[392/391]]
| [[392/391]]
Line 1,380: Line 1,380:
| {{Monzo| 3 0 0 2 0 0 -1 0 -1 }}
| {{Monzo| 3 0 0 2 0 0 -1 0 -1 }}
| Minor semivicema
| Minor semivicema
|
|  
|-
|-
| [[460/459]]
| [[460/459]]
Line 1,387: Line 1,387:
| {{Monzo| 2 -3 1 0 0 0 -1 0 1 }}
| {{Monzo| 2 -3 1 0 0 0 -1 0 1 }}
| Scanisma, vicewolf comma
| Scanisma, vicewolf comma
|
|  
|-
|-
| [[484/483]]
| [[484/483]]
Line 1,401: Line 1,401:
| {{Monzo| -1 1 0 0 -1 2 0 0 -1 }}
| {{Monzo| -1 1 0 0 -1 2 0 0 -1 }}
| Laodicisma
| Laodicisma
|
|  
|-
|-
| [[529/528]]
| [[529/528]]
Line 1,412: Line 1,412:
| [[576/575]]
| [[576/575]]
| 3.0082
| 3.0082
| (2<sup>3</sup>×3)<sup>2</sup>/(23×5<sup>2</sup>)
| ((2<sup>3</sup>×3)/5)<sup>2</sup>/23
| {{Monzo| 6 2 -2 0 0 0 0 0 -1 }}
| {{Monzo| 6 2 -2 0 0 0 0 0 -1 }}
| Worcester comma
| Worcester comma
Line 1,422: Line 1,422:
| {{Monzo| 5 -1 -1 -2 0 0 0 0 1 }}
| {{Monzo| 5 -1 -1 -2 0 0 0 0 1 }}
| Harvardisma
| Harvardisma
|
|  
|-
|-
| [[760/759]]
| [[760/759]]
Line 1,429: Line 1,429:
| {{Monzo| 3 -1 1 0 -1 0 0 1 -1 }}
| {{Monzo| 3 -1 1 0 -1 0 0 1 -1 }}
| Squadronisma
| Squadronisma
|
|  
|-
|-
| [[875/874]]
| [[875/874]]
Line 1,436: Line 1,436:
| {{Monzo| -1 0 3 1 0 0 0 -1 -1 }}
| {{Monzo| -1 0 3 1 0 0 0 -1 -1 }}
| Nymphisma
| Nymphisma
|
|  
|-
|-
| [[897/896]]
| [[897/896]]
Line 1,443: Line 1,443:
| {{Monzo| -7 1 0 -1 0 1 0 0 1 }}
| {{Monzo| -7 1 0 -1 0 1 0 0 1 }}
| Lysistratisma
| Lysistratisma
|
|  
|-
|-
| [[1105/1104]]
| [[1105/1104]]
Line 1,450: Line 1,450:
| {{Monzo| -4 -1 1 0 0 1 1 0 -1 }}
| {{Monzo| -4 -1 1 0 0 1 1 0 -1 }}
| Fragarisma
| Fragarisma
|
|  
|-
|-
| [[1197/1196]]
| [[1197/1196]]
Line 1,457: Line 1,457:
| {{Monzo| -2 2 0 1 0 -1 0 1 -1 }}
| {{Monzo| -2 2 0 1 0 -1 0 1 -1 }}
| Rhodesisma
| Rhodesisma
|
|  
|-
|-
| [[1288/1287]]
| [[1288/1287]]
Line 1,464: Line 1,464:
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
| Santisma, triaphonisma
| Santisma, triaphonisma
|
|  
|-
|-
| [[1496/1495]]
| [[1496/1495]]
Line 1,471: Line 1,471:
| {{Monzo| 3 0 -1 0 1 -1 1 0 -1 }}
| {{Monzo| 3 0 -1 0 1 -1 1 0 -1 }}
| Turkisma
| Turkisma
|
|  
|-
|-
| [[1863/1862]]
| [[1863/1862]]
Line 1,478: Line 1,478:
| {{Monzo| -1 4 0 -2 0 0 0 -1 1 }}
| {{Monzo| -1 4 0 -2 0 0 0 -1 1 }}
| Antinousisma
| Antinousisma
|
|  
|-
|-
| [[2024/2023]]
| [[2024/2023]]
Line 1,485: Line 1,485:
| {{Monzo| 3 0 0 -1 1 0 -2 0 1 }}
| {{Monzo| 3 0 0 -1 1 0 -2 0 1 }}
| Artifisma, insincere comma
| Artifisma, insincere comma
|
|  
|-
|-
| [[2025/2024]]
| [[2025/2024]]
Line 1,499: Line 1,499:
| {{Monzo| -3 -1 1 -1 0 -1 0 1 1 }}
| {{Monzo| -3 -1 1 -1 0 -1 0 1 1 }}
| Guangdongisma
| Guangdongisma
|
|  
|-
|-
| [[2300/2299]]
| [[2300/2299]]
| 0.75287
| 0.75287
| (2<sup>2</sup>×5<sup>2</sup>×23)/(11<sup>2</sup>×19)
| ((2×5)/11)<sup>2</sup>×(23/19)
| {{Monzo| 2 0 2 0 -2 0 0 -1 1 }}
| {{Monzo| 2 0 2 0 -2 0 0 -1 1 }}
| Travellisma
| Travellisma
Line 1,524: Line 1,524:
| [[3060/3059]]
| [[3060/3059]]
| 0.56586
| 0.56586
| (2<sup>2</sup>×3<sup>2</sup>×5×17)/(7×19×23)
| ((2×3)<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, viciousma
| Vicious comma, viciousma
Line 1,615: Line 1,615:
| [[Vicetertisma|12168/12167]]
| [[Vicetertisma|12168/12167]]
| 0.14228
| 0.14228
| (2<sup>3</sup>×3<sup>2</sup>×13<sup>2</sup>)/23<sup>3</sup>
| (2/23)<sup>3</sup>×(3×13)<sup>2</sup>
| {{Monzo| 3 2 0 0 0 2 0 0 -3 }}
| {{Monzo| 3 2 0 0 0 2 0 0 -3 }}
| Vicetertisma
| Vicetertisma
Line 1,650: Line 1,650:
| 23276/23275
| 23276/23275
| 0.074380
| 0.074380
| (2<sup>2</sup>×11×23<sup>2</sup>)/(5<sup>2</sup>×7<sup>2</sup>×19)
| ((2×23)/(5×7))<sup>2</sup>×(11/19)
| {{Monzo| 2 0 -2 -2 1 0 0 -1 2 }}
| {{Monzo| 2 0 -2 -2 1 0 0 -1 2 }}
|  
|  
Line 1,685: Line 1,685:
| 71875/71874
| 71875/71874
| 0.024087
| 0.024087
| (5<sup>5</sup>×23)/(2×3<sup>3</sup>×11<sup>3</sup>)
| (5<sup>5</sup>×23)/(2×(3×11)<sup>3</sup>)
| {{Monzo| -1 -3 5 0 -3 0 0 0 1 }}
| {{Monzo| -1 -3 5 0 -3 0 0 0 1 }}
|  
|  
Line 1,762: Line 1,762:
| 2023425/2023424
| 2023425/2023424
| 0.00085560
| 0.00085560
| (3<sup>2</sup>×5<sup>2</sup>×17×23<sup>2</sup>)/(2<sup>13</sup>×13×19)
| ((3×5×23)<sup>2</sup>×17)/(2<sup>13</sup>×13×19)
| {{Monzo| -13 2 2 0 0 -1 1 -1 2 }}
| {{Monzo| -13 2 2 0 0 -1 1 -1 2 }}
|  
|  
Line 1,769: Line 1,769:
| 4096576/4096575
| 4096576/4096575
| 0.00042261
| 0.00042261
| (2<sup>3</sup>×11×23)<sup>2</sup>/(3<sup>4</sup>×5<sup>2</sup>×7×17<sup>2</sup>)
| ((2<sup>3</sup>×11×23)/(3<sup>2</sup>×5×17))<sup>2</sup>/7
| {{Monzo| 6 -4 -2 -1 2 0 -2 0 2 }}
| {{Monzo| 6 -4 -2 -1 2 0 -2 0 2 }}
|  
|  
Line 1,776: Line 1,776:
| 5142501/5142500
| 5142501/5142500
| 0.00033665
| 0.00033665
| (3<sup>3</sup>×7<sup>2</sup>×13<sup>2</sup>×23)/(2<sup>2</sup>×5<sup>4</sup>×11<sup>2</sup>×17)
| 3<sup>3</sup>×((7×13)/(2×5<sup>2</sup>×11))<sup>2</sup>×(23/17)
| {{Monzo| -2 3 -4 2 -2 2 -1 0 1 }}
| {{Monzo| -2 3 -4 2 -2 2 -1 0 1 }}
|  
|  
Line 1,795: Line 1,795:
| 29/(2<sup>2</sup>×7)
| 29/(2<sup>2</sup>×7)
| 2.7.29 {{monzo| -2 -1 1 }}
| 2.7.29 {{monzo| -2 -1 1 }}
| Vicesimononal thirdtone, vicesimononal subchroma, large vicesimononal quartertone, large vicesimononal 2/7-tone
| Vicesimononal thirdtone, vicesimononal subchroma, <br>large vicesimononal quartertone, large vicesimononal 2/7-tone
|  
|  
|-
|-
Line 3,395: Line 3,395:
| [[37/36]]
| [[37/36]]
| 47.434
| 47.434
| 37/(2<sup>2</sup>×3<sup>2</sup>)
| 37/(2×3)<sup>2</sup>
| 2.3.37 {{monzo| -2 -2 1 }}
| 2.3.37 {{monzo| -2 -2 1 }}
| Large tricesimoseptimal 1/4-tone, 37th-partial chroma
| Large tricesimoseptimal 1/4-tone, 37th-partial chroma
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"