Xenharmonic Wiki

List of superparticular intervals: Difference between revisions

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add column to indicate if superparticulars are the interval between two consecutive superparticulars (are meta-superparticular)
Line 16: Line 16:
! [[Monzo]]
! [[Monzo]]
! Name(s)
! Name(s)
!meta?
|-
|-
! colspan="5" | 2-limit (complete)
! colspan="6" | 2-limit (complete)
|-
|-
| [[2/1]]
| [[2/1]]
Line 24: Line 25:
| {{monzo|1}}
| {{monzo|1}}
| octave, duple; ''after [[octave reduction]]:'' (perfect) unison, unity, perfect prime, tonic
| octave, duple; ''after [[octave reduction]]:'' (perfect) unison, unity, perfect prime, tonic
|
|-
|-
! colspan="5" | 3-limit (complete)
! colspan="6" | 3-limit (complete)
|-
|-
| [[3/2]]
| [[3/2]]
Line 32: Line 34:
| {{monzo|-1 1}}
| {{monzo|-1 1}}
| [[perfect fifth]], 3rd harmonic (octave reduced), diapente
| [[perfect fifth]], 3rd harmonic (octave reduced), diapente
|
|-
|-
| [[4/3]]
| [[4/3]]
Line 38: Line 41:
| {{monzo|2 -1}}
| {{monzo|2 -1}}
| perfect fourth, 3rd subharmonic (octave reduced), diatessaron
| perfect fourth, 3rd subharmonic (octave reduced), diatessaron
|3/2 to 2/1
|-
|-
| [[9/8]]
| [[9/8]]
Line 44: Line 48:
| {{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)
|4/3 to 3/2
|-
|-
! colspan="5" | 5-limit (complete)
! colspan="6" | 5-limit (complete)
|-
|-
| [[5/4]]
| [[5/4]]
Line 52: Line 57:
| {{monzo|-2 0 1}}
| {{monzo|-2 0 1}}
| classic/just major third, 5th harmonic (octave reduced)
| classic/just major third, 5th harmonic (octave reduced)
|
|-
|-
| [[6/5]]
| [[6/5]]
Line 58: Line 64:
| {{monzo|1 1 -1}}
| {{monzo|1 1 -1}}
| classic/just minor third
| classic/just minor third
|
|-
|-
| [[10/9]]
| [[10/9]]
Line 64: Line 71:
| {{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
|
|-
|-
| [[16/15]]
| [[16/15]]
Line 70: Line 78:
| {{monzo|4 -1 -1}}
| {{monzo|4 -1 -1}}
| classic/just diatonic semitone, 15th subharmonic
| classic/just diatonic semitone, 15th subharmonic
|5/4 to 4/3
|-
|-
| [[25/24]]
| [[25/24]]
Line 76: Line 85:
| {{monzo|-3 -1 2}}
| {{monzo|-3 -1 2}}
| classic/just chromatic semitone, chroma, Zarlinian semitone
| classic/just chromatic semitone, chroma, Zarlinian semitone
|6/5 to 5/4
|-
|-
| [[81/80]]
| [[81/80]]
Line 82: Line 92:
| {{monzo|-4 4 -1}}
| {{monzo|-4 4 -1}}
| syntonic comma, Didymus comma
| syntonic comma, Didymus comma
|10/9 to 9/8
|-
|-
! colspan="5" | 7-limit (complete)
! colspan="6" | 7-limit (complete)
|-
|-
| [[7/6]]
| [[7/6]]
Line 90: Line 101:
| {{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 96: Line 108:
| {{monzo|3 0 0 -1}}
| {{monzo|3 0 0 -1}}
| (septimal) supermajor second, septimal whole tone, 7th subharmonic
| (septimal) supermajor second, septimal whole tone, 7th subharmonic
|
|-
|-
| [[15/14]]
| [[15/14]]
Line 102: Line 115:
| {{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 108: Line 122:
| {{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 114: Line 129:
| {{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, (septimal) subminor second, septimal minor second, trienstonic comma
|
|-
|-
| [[36/35]]
| [[36/35]]
Line 120: Line 136:
| {{monzo|2 2 -1 -1}}
| {{monzo|2 2 -1 -1}}
| septimal 1/4-tone, septimal diesis
| septimal 1/4-tone, septimal diesis
|7/6 to 6/5
|-
|-
| [[49/48]]
| [[49/48]]
Line 126: Line 143:
| {{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, large septimal 1/6-tone
|8/7 to 7/6
|-
|-
| [[50/49]]
| [[50/49]]
Line 132: Line 150:
| {{monzo|1 0 2 -2}}
| {{monzo|1 0 2 -2}}
| jubilisma, small septimal diesis, small septimal 1/6-tone, tritonic diesis, Erlich's decatonic comma
| jubilisma, small septimal diesis, small septimal 1/6-tone, tritonic diesis, Erlich's decatonic comma
|
|-
|-
| [[64/63]]
| [[64/63]]
Line 138: Line 157:
| {{monzo|6 -2 0 -1}}
| {{monzo|6 -2 0 -1}}
| septimal comma, Archytas' comma
| septimal comma, Archytas' comma
|9/8 to 8/7
|-
|-
| [[126/125]]
| [[126/125]]
Line 144: Line 164:
| {{monzo|1 2 -3 1}}
| {{monzo|1 2 -3 1}}
| starling comma, septimal semicomma
| starling comma, septimal semicomma
|
|-
|-
| [[225/224]]
| [[225/224]]
Line 150: Line 171:
| {{monzo|-5 2 2 -1}}
| {{monzo|-5 2 2 -1}}
| marvel comma, septimal kleisma
| marvel comma, septimal kleisma
|16/15 to 15/14
|-
|-
| [[2401/2400]]
| [[2401/2400]]
Line 156: Line 178:
| {{monzo|-5 -1 -2 4}}
| {{monzo|-5 -1 -2 4}}
| breedsma
| breedsma
|50/49 to 49/48
|-
|-
| [[4375/4374]]
| [[4375/4374]]
Line 162: Line 185:
| {{monzo|-1 -7 4 1}}
| {{monzo|-1 -7 4 1}}
| ragisma
| ragisma
|
|-
|-
! colspan="5" | 11-limit (complete)
! colspan="6" | 11-limit (complete)
|-
|-
| [[11/10]]
| [[11/10]]
Line 170: Line 194:
| {{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, undecimal submajor second, Ptolemy's second
|
|-
|-
| [[12/11]]
| [[12/11]]
Line 176: Line 201:
| {{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 182: Line 208:
| {{monzo|1 -1 0 -1 1}}
| {{monzo|1 -1 0 -1 1}}
| undecimal minor semitone
| undecimal minor semitone
|
|-
|-
| [[33/32]]
| [[33/32]]
Line 188: Line 215:
| {{monzo|-5 1 0 0 1}}
| {{monzo|-5 1 0 0 1}}
| undecimal 1/4-tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
| undecimal 1/4-tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
|
|-
|-
| [[45/44]]
| [[45/44]]
Line 194: Line 222:
| {{monzo|-2 2 1 0 -1}}
| {{monzo|-2 2 1 0 -1}}
| undecimal 1/5-tone
| undecimal 1/5-tone
|
|-
|-
| [[55/54]]
| [[55/54]]
Line 200: Line 229:
| {{monzo|-1 -3 1 0 1}}
| {{monzo|-1 -3 1 0 1}}
| undecimal diasecundal comma, eleventyfive comma
| undecimal diasecundal comma, eleventyfive comma
|
|-
|-
| [[56/55]]
| [[56/55]]
Line 206: Line 236:
| {{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 212: Line 243:
| {{monzo|-1 2 0 -2 1}}
| {{monzo|-1 2 0 -2 1}}
| mothwellsma, small undecimal comma
| mothwellsma, small undecimal comma
|
|-
|-
| [[100/99]]
| [[100/99]]
Line 218: Line 250:
| {{monzo|2 -2 2 0 -1}}
| {{monzo|2 -2 2 0 -1}}
| ptolemisma, Ptolemy's comma
| ptolemisma, Ptolemy's comma
|11/10 to 10/9
|-
|-
| [[121/120]]
| [[121/120]]
Line 224: Line 257:
| {{monzo|-3 -1 -1 0 2}}
| {{monzo|-3 -1 -1 0 2}}
| biyatisma, undecimal seconds comma
| biyatisma, undecimal seconds comma
|12/11 to 11/10
|-
|-
| [[176/175]]
| [[176/175]]
Line 230: Line 264:
| {{monzo|4 0 -2 -1 1}}
| {{monzo|4 0 -2 -1 1}}
| valinorsma
| valinorsma
|
|-
|-
| [[243/242]]
| [[243/242]]
Line 236: Line 271:
| {{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 242: Line 278:
| {{monzo|-7 -1 1 1 1}}
| {{monzo|-7 -1 1 1 1}}
| keenanisma
| keenanisma
|
|-
|-
| [[441/440]]
| [[441/440]]
Line 248: Line 285:
| {{monzo|-3 2 -1 2 -1}}
| {{monzo|-3 2 -1 2 -1}}
| werckisma, Werckmeister's undecimal septenarian schisma
| werckisma, Werckmeister's undecimal septenarian schisma
|22/21 to 21/20
|-
|-
| [[540/539]]
| [[540/539]]
Line 254: Line 292:
| {{monzo|2 3 1 -2 -1}}
| {{monzo|2 3 1 -2 -1}}
| swetisma, Swets' comma
| swetisma, Swets' comma
|
|-
|-
| [[3025/3024]]
| [[3025/3024]]
Line 260: Line 299:
| {{monzo|-4 -3 2 -1 2}}
| {{monzo|-4 -3 2 -1 2}}
| lehmerisma
| lehmerisma
|56/55 to 55/54
|-
|-
| [[9801/9800]]
| [[9801/9800]]
Line 266: Line 306:
| {{monzo|-3 4 -2 -2 2}}
| {{monzo|-3 4 -2 -2 2}}
| kalisma, Gauss comma
| kalisma, Gauss comma
|100/99 to 99/98
|-
|-
! colspan="5" | 13-limit (complete)
! colspan="6" | 13-limit (complete)
|-
|-
| [[13/12]]
| [[13/12]]
Line 274: Line 315:
| {{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, tridecimal neutral second
|
|-
|-
| [[14/13]]
| [[14/13]]
Line 280: Line 322:
| {{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 286: Line 329:
| {{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 292: Line 336:
| {{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 298: Line 343:
| {{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 304: Line 350:
| {{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 310: Line 357:
| {{monzo|1 1 -1 0 1 -1}}
| {{monzo|1 1 -1 0 1 -1}}
| winmeanma
| winmeanma
|
|-
|-
| [[78/77]]
| [[78/77]]
Line 316: Line 364:
| {{monzo|1 1 0 -1 -1 1}}
| {{monzo|1 1 0 -1 -1 1}}
| negustma
| negustma
|
|-
|-
| [[91/90]]
| [[91/90]]
Line 322: Line 371:
| {{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 328: Line 378:
| {{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 334: Line 385:
| {{monzo|4 2 0 0 -1 -1}}
| {{monzo|4 2 0 0 -1 -1}}
| grossma
| grossma
|13/12 to 12/11
|-
|-
| [[169/168]]
| [[169/168]]
Line 340: Line 392:
| {{monzo|-3 -1 0 -1 0 2}}
| {{monzo|-3 -1 0 -1 0 2}}
| buzurgisma, dhanvantarisma
| buzurgisma, dhanvantarisma
|14/13 to 13/12
|-
|-
| [[196/195]]
| [[196/195]]
Line 346: Line 399:
| {{monzo|2 -1 -1 2 0 -1}}
| {{monzo|2 -1 -1 2 0 -1}}
| [[Mynucumic_chords|mynucuma]]
| [[Mynucumic_chords|mynucuma]]
|15/14 to 14/13
|-
|-
| [[325/324]]
| [[325/324]]
Line 352: Line 406:
| {{monzo|-2 -4 2 0 0 1}}
| {{monzo|-2 -4 2 0 0 1}}
| [[Marveltwin|marveltwin comma]]
| [[Marveltwin|marveltwin comma]]
|
|-
|-
| [[351/350]]
| [[351/350]]
Line 358: Line 413:
| {{monzo|-1 3 -2 -1 0 1}}
| {{monzo|-1 3 -2 -1 0 1}}
| ratwolfsma
| ratwolfsma
|
|-
|-
| [[352/351]]
| [[352/351]]
Line 364: Line 420:
| {{monzo|5 -3 0 0 1 -1}}
| {{monzo|5 -3 0 0 1 -1}}
| minthma
| minthma
|
|-
|-
| [[364/363]]
| [[364/363]]
Line 370: Line 427:
| {{monzo|2 -1 0 1 -2 1}}
| {{monzo|2 -1 0 1 -2 1}}
| gentle comma
| gentle comma
|
|-
|-
| [[625/624]]
| [[625/624]]
Line 376: Line 434:
| {{monzo|-4 -1 4 0 0 -1}}
| {{monzo|-4 -1 4 0 0 -1}}
| tunbarsma
| tunbarsma
|26/25 to 25/24
|-
|-
| [[676/675]]
| [[676/675]]
Line 382: Line 441:
| {{monzo|2 -3 -2 0 0 2}}
| {{monzo|2 -3 -2 0 0 2}}
| island comma
| island comma
|27/26 to 26/25
|-
|-
| [[729/728]]
| [[729/728]]
Line 388: Line 448:
| {{monzo|-3 6 0 -1 0 -1}}
| {{monzo|-3 6 0 -1 0 -1}}
| squbema
| squbema
|28/27 to 27/26
|-
|-
| [[1001/1000]]
| [[1001/1000]]
Line 394: Line 455:
| {{monzo|-3 0 -3 1 1 1}}
| {{monzo|-3 0 -3 1 1 1}}
| sinbadma
| sinbadma
|
|-
|-
| [[1716/1715]]
| [[1716/1715]]
Line 400: Line 462:
| {{monzo|2 1 -1 -3 1 1}}
| {{monzo|2 1 -1 -3 1 1}}
| lummic comma
| lummic comma
|
|-
|-
| [[2080/2079]]
| [[2080/2079]]
Line 406: Line 469:
| {{monzo|5 -3 1 -1 -1 1}}
| {{monzo|5 -3 1 -1 -1 1}}
| ibnsinma
| ibnsinma
|
|-
|-
| [[4096/4095]]
| [[4096/4095]]
Line 412: Line 476:
| {{monzo|12 -2 -1 -1 0 -1}}
| {{monzo|12 -2 -1 -1 0 -1}}
| schismina, tridecimal schisma
| schismina, tridecimal schisma
|65/64 to 64/63
|-
|-
| [[4225/4224]]
| [[4225/4224]]
Line 418: Line 483:
| {{monzo|-7 -1 2 0 -1 2}}
| {{monzo|-7 -1 2 0 -1 2}}
| leprechaun comma
| leprechaun comma
|66/65 to 65/64
|-
|-
| [[6656/6655]]
| [[6656/6655]]
Line 424: Line 490:
| {{monzo|9 0 -1 0 -3 1}}
| {{monzo|9 0 -1 0 -3 1}}
| jacobin comma
| jacobin comma
|
|-
|-
| [[10648/10647]]
| [[10648/10647]]
Line 430: Line 497:
| {{monzo|3 -2 0 -1 3 -2}}
| {{monzo|3 -2 0 -1 3 -2}}
| harmonisma
| harmonisma
|
|-
|-
| [[123201/123200]]
| [[123201/123200]]
Line 436: Line 504:
| {{monzo|-6 6 -2 -1 -1 2}}
| {{monzo|-6 6 -2 -1 -1 2}}
| chalmersia
| chalmersia
|352/351 to 351/350
|-
|-
! colspan="5" | 17-limit (complete)
! colspan="6" | 17-limit (complete)
|-
|-
| [[17/16]]
| [[17/16]]
Line 444: Line 513:
| {{monzo|-4 0 0 0 0 0 1}}
| {{monzo|-4 0 0 0 0 0 1}}
| large septendecimal semitone, 17th harmonic (octave reduced)
| large septendecimal semitone, 17th harmonic (octave reduced)
|
|-
|-
| [[18/17]]
| [[18/17]]
Line 450: Line 520:
| {{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, Arabic lute index finger
|
|-
|-
| [[34/33]]
| [[34/33]]
Line 456: Line 527:
| {{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 462: Line 534:
| {{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 468: Line 541:
| {{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 474: Line 548:
| {{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 480: Line 555:
| {{monzo|-2 -1 1 -1 0 0 1}}
| {{monzo|-2 -1 1 -1 0 0 1}}
| septendecimal comma (?)
| septendecimal comma (?)
|
|-
|-
| [[120/119]]
| [[120/119]]
Line 486: Line 562:
| {{monzo|3 1 1 -1 0 0 -1}}
| {{monzo|3 1 1 -1 0 0 -1}}
|  
|  
|
|-
|-
| 136/135
| 136/135
Line 492: Line 569:
| {{monzo|3 -3 -1 0 0 0 1}}
| {{monzo|3 -3 -1 0 0 0 1}}
| septendecimal major second comma
| septendecimal major second comma
|
|-
|-
| 154/153
| 154/153
Line 498: Line 576:
| {{monzo|1 -2 0 1 1 0 -1}}
| {{monzo|1 -2 0 1 1 0 -1}}
|  
|  
|
|-
|-
| 170/169
| 170/169
Line 504: Line 583:
| {{monzo|1 0 1 0 0 -2 1}}
| {{monzo|1 0 1 0 0 -2 1}}
|  
|  
|
|-
|-
| 221/220
| 221/220
Line 510: Line 590:
| {{monzo|-2 0 -1 0 -1 1 1}}
| {{monzo|-2 0 -1 0 -1 1 1}}
|  
|  
|
|-
|-
| [[256/255]]
| [[256/255]]
Line 516: Line 597:
| {{monzo|8 -1 -1 0 0 0 -1}}
| {{monzo|8 -1 -1 0 0 0 -1}}
| septendecimal kleisma, 255th subharmonic
| septendecimal kleisma, 255th subharmonic
|17/16 to 16/15
|-
|-
| [[273/272]]
| [[273/272]]
Line 522: Line 604:
| {{monzo|-4 1 0 1 0 1 -1}}
| {{monzo|-4 1 0 1 0 1 -1}}
| tannisma
| tannisma
|
|-
|-
| [[289/288]]
| [[289/288]]
Line 528: Line 611:
| {{monzo|-5 -2 0 0 0 0 2}}
| {{monzo|-5 -2 0 0 0 0 2}}
| septendecimal 6-cent comma
| septendecimal 6-cent comma
|18/17 to 17/16
|-
|-
| 375/374
| 375/374
Line 534: Line 618:
| {{monzo|-1 1 3 0 -1 0 -1}}
| {{monzo|-1 1 3 0 -1 0 -1}}
|  
|  
|
|-
|-
| 442/441
| 442/441
Line 540: Line 625:
| {{monzo|1 -2 0 -2 0 1 1}}
| {{monzo|1 -2 0 -2 0 1 1}}
|  
|  
|
|-
|-
| 561/560
| 561/560
Line 546: Line 632:
| {{monzo|-4 1 -1 -1 1 0 1}}
| {{monzo|-4 1 -1 -1 1 0 1}}
|  
|  
|
|-
|-
| 595/594
| 595/594
Line 552: Line 639:
| {{monzo|-1 -3 1 1 -1 0 1}}
| {{monzo|-1 -3 1 1 -1 0 1}}
|  
|  
|
|-
|-
| [[715/714]]
| [[715/714]]
Line 558: Line 646:
| {{monzo|-1 -1 1 -1 1 1 -1}}
| {{monzo|-1 -1 1 -1 1 1 -1}}
| September comma, septembrisma, septendecimal bridge comma
| September comma, septembrisma, septendecimal bridge comma
|
|-
|-
| [[833/832]]
| [[833/832]]
Line 564: Line 653:
| {{monzo|-6 0 0 2 0 -1 1}}
| {{monzo|-6 0 0 2 0 -1 1}}
| horizon comma
| horizon comma
|
|-
|-
| [[936/935]]
| [[936/935]]
Line 570: Line 660:
| {{monzo|3 2 -1 0 -1 1 -1}}
| {{monzo|3 2 -1 0 -1 1 -1}}
| ainos comma, ainma
| ainos comma, ainma
|
|-
|-
| [[1089/1088]]
| [[1089/1088]]
Line 576: Line 667:
| {{monzo|-6 2 0 0 2 0 -1}}
| {{monzo|-6 2 0 0 2 0 -1}}
| twosquare comma
| twosquare comma
|34/33 to 33/32
|-
|-
| 1156/1155
| 1156/1155
Line 582: Line 674:
| {{monzo|2 -1 -1 -1 -1 0 2}}
| {{monzo|2 -1 -1 -1 -1 0 2}}
| septendecimal 1/4-tones comma
| septendecimal 1/4-tones comma
|35/34 to 34/33
|-
|-
| [[1225/1224]]
| [[1225/1224]]
Line 588: Line 681:
| {{monzo|-3 -2 2 2 0 0 -1}}
| {{monzo|-3 -2 2 2 0 0 -1}}
| noema
| noema
|36/35 to 35/34
|-
|-
| 1275/1274
| 1275/1274
Line 594: Line 688:
| {{monzo|-1 1 2 -2 0 -1 1}}
| {{monzo|-1 1 2 -2 0 -1 1}}
|  
|  
|
|-
|-
| [[1701/1700]]
| [[1701/1700]]
Line 600: Line 695:
| {{monzo|-2 5 -2 1 0 0 -1}}
| {{monzo|-2 5 -2 1 0 0 -1}}
| palingenesis comma, palingenetic comma, palingenesma
| palingenesis comma, palingenetic comma, palingenesma
|
|-
|-
| 2058/2057
| 2058/2057
Line 606: Line 702:
| {{monzo|1 1 0 3 -2 0 -1}}
| {{monzo|1 1 0 3 -2 0 -1}}
| xenisma
| xenisma
|
|-
|-
| 2431/2430
| 2431/2430
Line 612: Line 709:
| {{monzo|-1 -5 -1 0 1 1 1}}
| {{monzo|-1 -5 -1 0 1 1 1}}
|  
|  
|
|-
|-
| 2500/2499
| 2500/2499
Line 618: Line 716:
| {{monzo|2 -1 4 -2 0 0 -1}}
| {{monzo|2 -1 4 -2 0 0 -1}}
|  
|  
|51/50 to 50/49
|-
|-
| 2601/2600
| 2601/2600
Line 624: Line 723:
| {{monzo|-3 2 -2 0 0 -1 2}}
| {{monzo|-3 2 -2 0 0 -1 2}}
| septendecimal 1/6-tones comma
| septendecimal 1/6-tones comma
|52/51 to 51/50
|-
|-
| 4914/4913
| 4914/4913
Line 630: Line 730:
| {{monzo|1 3 0 1 0 1 -3}}
| {{monzo|1 3 0 1 0 1 -3}}
|  
|  
|
|-
|-
| [[5832/5831]]
| [[5832/5831]]
Line 636: Line 737:
| {{monzo|3 6 0 -3 0 0 -1}}
| {{monzo|3 6 0 -3 0 0 -1}}
| chlorisma
| chlorisma
|
|-
|-
| 12376/12375
| 12376/12375
Line 642: Line 744:
| {{monzo|3 -2 -3 1 -1 1 1}}
| {{monzo|3 -2 -3 1 -1 1 1}}
| flashma
| flashma
|
|-
|-
| 14400/14399
| 14400/14399
Line 648: Line 751:
| {{monzo|6 2 2 -1 -2 0 -1}}
| {{monzo|6 2 2 -1 -2 0 -1}}
| sparkisma
| sparkisma
|121/120 to 120/119
|-
|-
| 28561/28560
| 28561/28560
Line 654: Line 758:
| {{monzo|-4 -1 -1 -1 0 4 -1}}
| {{monzo|-4 -1 -1 -1 0 4 -1}}
|  
|  
|170/169 to 169/168
|-
|-
| 31213/31212
| 31213/31212
Line 660: Line 765:
| {{monzo|-2 -3 0 4 0 1 -2}}
| {{monzo|-2 -3 0 4 0 1 -2}}
|  
|  
|
|-
|-
| 37180/37179
| 37180/37179
Line 666: Line 772:
| {{monzo|2 -7 1 0 1 2 -1}}
| {{monzo|2 -7 1 0 1 2 -1}}
|  
|  
|
|-
|-
| 194481/194480
| 194481/194480
Line 672: Line 779:
| {{monzo|-4 4 -1 4 -1 -1 -1}}
| {{monzo|-4 4 -1 4 -1 -1 -1}}
| scintillisma
| scintillisma
|442/441 to 441/440
|-
|-
| 336141/336140
| 336141/336140
Line 678: Line 786:
| {{monzo|-2 2 -1 -5 0 3 1}}
| {{monzo|-2 2 -1 -5 0 3 1}}
|  
|  
|
|-
|-
! colspan="5" | 19-limit (complete)
! colspan="6" | 19-limit (complete)
|-
|-
| [[19/18]]
| [[19/18]]
Line 686: Line 795:
| {{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 692: Line 802:
| {{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 698: Line 809:
| {{monzo|-1 1 0 0 0 1 0 -1}}
| {{monzo|-1 1 0 0 0 1 0 -1}}
| undevicesimal 2/9-tone
| undevicesimal 2/9-tone
|
|-
|-
| [[57/56]]
| [[57/56]]
Line 704: Line 816:
| {{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 710: Line 823:
| {{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 716: Line 830:
| {{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 722: Line 837:
| {{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 728: Line 844:
| {{monzo|-2 -1 0 1 -1 0 0 1}}
| {{monzo|-2 -1 0 1 -1 0 0 1}}
|  
|  
|
|-
|-
| [[153/152]]
| [[153/152]]
Line 734: Line 851:
| {{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 740: Line 858:
| {{monzo|-1 2 -1 0 0 0 -1 1}}
| {{monzo|-1 2 -1 0 0 0 -1 1}}
|  
|  
|
|-
|-
| 190/189
| 190/189
Line 746: Line 865:
| {{monzo|1 -3 1 -1 0 0 0 1}}
| {{monzo|1 -3 1 -1 0 0 0 1}}
|  
|  
|
|-
|-
| 209/208
| 209/208
Line 752: Line 872:
| {{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 758: Line 879:
| {{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 764: Line 886:
| {{monzo|1 -1 -1 0 1 1 0 -1}}
| {{monzo|1 -1 -1 0 1 1 0 -1}}
|  
|  
|
|-
|-
| [[324/323]]
| [[324/323]]
Line 770: Line 893:
| {{monzo|2 4 0 0 0 0 -1 -1}}
| {{monzo|2 4 0 0 0 0 -1 -1}}
| nusu comma
| nusu comma
|19/18 to 18/17
|-
|-
| 343/342
| 343/342
Line 776: Line 900:
| {{monzo|-1 -2 0 3 0 0 0 -1}}
| {{monzo|-1 -2 0 3 0 0 0 -1}}
|  
|  
|
|-
|-
| 361/360
| 361/360
Line 782: Line 907:
| {{monzo|-3 -2 -1 0 0 0 0 2}}
| {{monzo|-3 -2 -1 0 0 0 0 2}}
| go comma
| go comma
|20/19 to 19/18
|-
|-
| 400/399
| 400/399
Line 788: Line 914:
| {{monzo|4 -1 2 -1 0 0 0 -1}}
| {{monzo|4 -1 2 -1 0 0 0 -1}}
|  
|  
|21/20 to 20/19
|-
|-
| 456/455
| 456/455
Line 794: Line 921:
| {{monzo|3 1 -1 -1 0 -1 0 1}}
| {{monzo|3 1 -1 -1 0 -1 0 1}}
|  
|  
|
|-
|-
| 476/475
| 476/475
Line 800: Line 928:
| {{monzo|2 0 -2 1 0 0 1 -1}}
| {{monzo|2 0 -2 1 0 0 1 -1}}
|  
|  
|
|-
|-
| 495/494
| 495/494
Line 806: Line 935:
| {{monzo|-1 2 1 0 1 -1 0 -1}}
| {{monzo|-1 2 1 0 1 -1 0 -1}}
|  
|  
|
|-
|-
| [[513/512]]
| [[513/512]]
Line 812: Line 942:
| {{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, Boethius' comma, 513th harmonic
|
|-
|-
| 969/968
| 969/968
Line 818: Line 949:
| {{monzo|-3 1 0 0 -2 0 1 1}}
| {{monzo|-3 1 0 0 -2 0 1 1}}
|  
|  
|
|-
|-
| [[1216/1215]]
| [[1216/1215]]
Line 824: Line 956:
| {{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 830: Line 963:
| {{monzo|-1 0 -1 -1 3 0 0 -1}}
| {{monzo|-1 0 -1 -1 3 0 0 -1}}
|  
|  
|
|-
|-
| [[1445/1444]]
| [[1445/1444]]
Line 836: Line 970:
| {{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 842: Line 977:
| {{monzo|-4 2 -1 0 0 2 0 -1}}
| {{monzo|-4 2 -1 0 0 2 0 -1}}
| pinkanberry
| pinkanberry
|40/39 to 39/38
|-
|-
| 1540/1539
| 1540/1539
Line 848: Line 984:
| {{monzo|2 -4 1 1 1 0 0 -1}}
| {{monzo|2 -4 1 1 1 0 0 -1}}
|  
|  
|
|-
|-
| 1729/1728
| 1729/1728
Line 854: Line 991:
| {{monzo|-6 -3 0 1 0 1 0 1}}
| {{monzo|-6 -3 0 1 0 1 0 1}}
|  
|  
|
|-
|-
| 2376/2375
| 2376/2375
Line 860: Line 998:
| {{monzo|-3 -3 3 0 -1 0 0 1}}
| {{monzo|-3 -3 3 0 -1 0 0 1}}
|  
|  
|
|-
|-
| 2432/2431
| 2432/2431
Line 866: Line 1,005:
| {{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
Line 872: Line 1,012:
| {{monzo|1 -2 -2 1 1 -1 0 1}}
| {{monzo|1 -2 -2 1 1 -1 0 1}}
|  
|  
|
|-
|-
| 3136/3135
| 3136/3135
Line 878: Line 1,019:
| {{monzo|6 -1 -1 2 -1 0 0 -1}}
| {{monzo|6 -1 -1 2 -1 0 0 -1}}
|  
|  
|57/56 to 56/55
|-
|-
| 3250/3249
| 3250/3249
Line 884: Line 1,026:
| {{monzo|1 -2 3 0 0 1 0 -2}}
| {{monzo|1 -2 3 0 0 1 0 -2}}
|  
|  
|
|-
|-
| 4200/4199
| 4200/4199
Line 890: Line 1,033:
| {{monzo|3 1 2 1 0 -1 -1 -1}}
| {{monzo|3 1 2 1 0 -1 -1 -1}}
|  
|  
|
|-
|-
| 5776/5775
| 5776/5775
Line 896: Line 1,040:
| {{monzo|4 -1 -2 -1 -1 0 0 2}}
| {{monzo|4 -1 -2 -1 -1 0 0 2}}
|  
|  
|77/76 to 76/75
|-
|-
| 5929/5928
| 5929/5928
Line 902: Line 1,047:
| {{monzo|-3 -1 0 2 2 -1 0 -1}}
| {{monzo|-3 -1 0 2 2 -1 0 -1}}
|  
|  
|78/77 to 77/76
|-
|-
| 5985/5984
| 5985/5984
Line 908: Line 1,054:
| {{monzo|5 -2 -1 -1 1 0 1 -1}}
| {{monzo|5 -2 -1 -1 1 0 1 -1}}
|  
|  
|
|-
|-
| 6175/6174
| 6175/6174
Line 914: Line 1,061:
| {{monzo|-1 -2 2 -3 0 1 0 1}}
| {{monzo|-1 -2 2 -3 0 1 0 1}}
|  
|  
|
|-
|-
| 6860/6859
| 6860/6859
Line 920: Line 1,068:
| {{monzo|2 0 1 3 0 0 0 -3}}
| {{monzo|2 0 1 3 0 0 0 -3}}
|  
|  
|
|-
|-
| 10241/10240
| 10241/10240
Line 926: Line 1,075:
| {{monzo|-11 0 -1 2 1 0 0 1}}
| {{monzo|-11 0 -1 2 1 0 0 1}}
|  
|  
|
|-
|-
| 10830/10829
| 10830/10829
Line 932: Line 1,082:
| {{monzo|1 1 1 -2 0 -1 -1 2}}
| {{monzo|1 1 1 -2 0 -1 -1 2}}
|  
|  
|
|-
|-
| 12636/12635
| 12636/12635
Line 938: Line 1,089:
| {{monzo|2 5 -1 -1 0 1 0 -2}}
| {{monzo|2 5 -1 -1 0 1 0 -2}}
|  
|  
|
|-
|-
| 13377/13376
| 13377/13376
Line 944: Line 1,096:
| {{monzo|-6 1 0 3 -1 1 0 -1}}
| {{monzo|-6 1 0 3 -1 1 0 -1}}
|  
|  
|
|-
|-
| 14080/14079
| 14080/14079
Line 950: Line 1,103:
| {{monzo|8 -1 1 0 1 -1 0 -2}}
| {{monzo|8 -1 1 0 1 -1 0 -2}}
|  
|  
|
|-
|-
| 14365/14364
| 14365/14364
Line 956: Line 1,110:
| {{monzo|-2 -3 1 -1 0 1 1 -1}}
| {{monzo|-2 -3 1 -1 0 1 1 -1}}
|  
|  
|
|-
|-
| 23409/23408
| 23409/23408
Line 962: Line 1,117:
| {{monzo|-4 4 0 -1 -1 0 1 -1}}
| {{monzo|-4 4 0 -1 -1 0 1 -1}}
|  
|  
|154/153 to 153/152
|-
|-
| 27456/27455
| 27456/27455
Line 968: Line 1,124:
| {{monzo|6 1 -1 0 1 0 -2 -1}}
| {{monzo|6 1 -1 0 1 0 -2 -1}}
|  
|  
|
|-
|-
| 28900/28899
| 28900/28899
Line 974: Line 1,131:
| {{monzo|2 -2 2 0 0 -2 2 -1}}
| {{monzo|2 -2 2 0 0 -2 2 -1}}
|  
|  
|171/170 to 170/169
|-
|-
| 43681/43680
| 43681/43680
Line 980: Line 1,138:
| {{monzo|-5 -1 -1 -1 2 -1 0 2}}
| {{monzo|-5 -1 -1 -1 2 -1 0 2}}
|  
|  
|210/209 to 209/208
|-
|-
| 89376/89375
| 89376/89375
Line 986: Line 1,145:
| {{monzo|5 1 -4 2 -1 -1 0 1}}
| {{monzo|5 1 -4 2 -1 -1 0 1}}
|  
|  
|
|-
|-
| 104976/104975
| 104976/104975
Line 992: Line 1,152:
| {{monzo|4 8 -2 0 0 0 -1 -1 -1}}
| {{monzo|4 8 -2 0 0 0 -1 -1 -1}}
|  
|  
|325/324 to 324/323
|-
|-
| 165376/165375
| 165376/165375
Line 998: Line 1,159:
| {{monzo|9 -3 -3 -2 0 0 1 1}}
| {{monzo|9 -3 -3 -2 0 0 1 1}}
| decimillisma
| decimillisma
|
|-
|-
| 228096/228095
| 228096/228095
Line 1,004: Line 1,166:
| {{monzo|8 4 -1 -4 1 0 0 -1}}
| {{monzo|8 4 -1 -4 1 0 0 -1}}
|  
|  
|
|-
|-
| 601426/601425
| 601426/601425
Line 1,010: Line 1,173:
| {{monzo|2 -7 -2 2 -1 0 1 2}}
| {{monzo|2 -7 -2 2 -1 0 1 2}}
|  
|  
|
|-
|-
| 633556/633555
| 633556/633555
Line 1,016: Line 1,180:
| {{monzo|2 -3 -1 1 3 -1 1 -2}}
| {{monzo|2 -3 -1 1 3 -1 1 -2}}
|  
|  
|
|-
|-
| 709632/709631
| 709632/709631
Line 1,022: Line 1,187:
| {{monzo|10 2 0 1 1 -3 -1 -1}}
| {{monzo|10 2 0 1 1 -3 -1 -1}}
|  
|  
|
|-
|-
| 5909761/5909760
| 5909761/5909760
Line 1,028: Line 1,194:
| {{monzo|-8 -5 -1 0 2 2 2 -1}}
| {{monzo|-8 -5 -1 0 2 2 2 -1}}
|  
|  
|2432/2431 to 2431/2430
|-
|-
| 11859211/11859210
| 11859211/11859210
Line 1,034: Line 1,201:
| {{monzo|-1 -4 -1 1 -4 1 0 4}}
| {{monzo|-1 -4 -1 1 -4 1 0 4}}
|  
|  
|
|-
|-
! colspan="5" | 23-limit (incomplete)
! colspan="6" | 23-limit (incomplete)
|-
|-
| [[23/22]]
| [[23/22]]
Line 1,042: Line 1,210:
|  
|  
| greater vicesimotertial semitone
| greater vicesimotertial semitone
|
|-
|-
| [[24/23]]
| [[24/23]]
Line 1,048: Line 1,217:
|  
|  
| small vicesimotertial semitone
| small vicesimotertial semitone
|
|-
|-
| [[46/45]]
| [[46/45]]
Line 1,054: Line 1,224:
|  
|  
| vicesimotertial 1/5-tone
| vicesimotertial 1/5-tone
|
|-
|-
| [[69/68]]
| [[69/68]]
Line 1,060: Line 1,231:
|  
|  
| large vicesimotertial 1/8-tone
| large vicesimotertial 1/8-tone
|
|-
|-
| [[70/69]]
| [[70/69]]
Line 1,066: Line 1,238:
|  
|  
| small vicesimotertial 1/8-tone
| small vicesimotertial 1/8-tone
|
|-
|-
| [[92/91]]
| [[92/91]]
Line 1,072: Line 1,245:
|  
|  
|  
|  
|
|-
|-
| 115/114
| 115/114
Line 1,078: Line 1,252:
|  
|  
|  
|  
|
|-
|-
| 161/160
| 161/160
Line 1,084: Line 1,259:
|  
|  
|  
|  
|
|-
|-
| 162/161
| 162/161
Line 1,090: Line 1,266:
|  
|  
|  
|  
|
|-
|-
| 208/207
| 208/207
Line 1,096: Line 1,273:
|  
|  
|  
|  
|
|-
|-
| 231/230
| 231/230
Line 1,102: Line 1,280:
|  
|  
|  
|  
|
|-
|-
| 253/252
| 253/252
Line 1,108: Line 1,287:
|  
|  
|  
|  
|
|-
|-
| 276/275
| 276/275
Line 1,114: Line 1,294:
|  
|  
|  
|  
|
|-
|-
| 300/299
| 300/299
Line 1,120: Line 1,301:
|  
|  
|  
|  
|
|-
|-
| 323/322
| 323/322
Line 1,126: Line 1,308:
|  
|  
|  
|  
|
|-
|-
| 391/390
| 391/390
Line 1,132: Line 1,315:
|  
|  
|  
|  
|
|-
|-
| 392/391
| 392/391
Line 1,138: Line 1,322:
|  
|  
|  
|  
|
|-
|-
| 460/459
| 460/459
Line 1,144: Line 1,329:
|  
|  
|  
|  
|
|-
|-
| 484/483
| 484/483
Line 1,150: Line 1,336:
|  
|  
|  
|  
|23/22 to 22/21
|-
|-
| 507/506
| 507/506
Line 1,156: Line 1,343:
|  
|  
|  
|  
|
|-
|-
| 529/528
| 529/528
Line 1,162: Line 1,350:
|  
|  
|  
|  
|24/23 to 23/22
|-
|-
| 576/575
| 576/575
Line 1,168: Line 1,357:
|  
|  
|  
|  
|25/24 to 24/23
|-
|-
|736/735
|736/735
|2.3538
|2.3538
|(2<sup>5</sup>*23)/(3*5*7<sup>2</sup>)
|(2<sup>5</sup>*23)/(3*5*7<sup>2</sup>)
|
|
|
|
|
Line 1,178: Line 1,369:
|2.2794
|2.2794
|(2<sup>3</sup>*5*19)/(3*11*23)
|(2<sup>3</sup>*5*19)/(3*11*23)
|
|
|
|
|
Line 1,184: Line 1,376:
|1.9797
|1.9797
|(5<sup>3</sup>*7)/(2*19*23)
|(5<sup>3</sup>*7)/(2*19*23)
|
|
|
|
|
Line 1,190: Line 1,383:
|1.9311
|1.9311
|(3*13*23)/(2<sup>7</sup>*7)
|(3*13*23)/(2<sup>7</sup>*7)
|
|
|
|
|
Line 1,196: Line 1,390:
|1.5674
|1.5674
|(5*13*17)/(2<sup>4</sup>*3*23)
|(5*13*17)/(2<sup>4</sup>*3*23)
|
|
|
|
|
Line 1,202: Line 1,397:
|1.4469
|1.4469
|(3<sup>2</sup>*17*19)/(2<sup>2</sup>*13*23)
|(3<sup>2</sup>*17*19)/(2<sup>2</sup>*13*23)
|
|
|
|
|
Line 1,208: Line 1,404:
|1.3446
|1.3446
|(2<sup>3</sup>*7*23)/(3<sup>2</sup>*11*13)
|(2<sup>3</sup>*7*23)/(3<sup>2</sup>*11*13)
|
|
|
|
|
Line 1,214: Line 1,411:
|1.1576
|1.1576
|(2<sup>3</sup>*11*17)/(5*13*23)
|(2<sup>3</sup>*11*17)/(5*13*23)
|
|
|
|
|
Line 1,220: Line 1,418:
|0.92952
|0.92952
|(3<sup>4</sup>*23)/(2*7<sup>2</sup>*19)
|(3<sup>4</sup>*23)/(2*7<sup>2</sup>*19)
|
|
|
|
|
Line 1,226: Line 1,425:
|0.85556
|0.85556
|(2<sup>3</sup>*11*23)/(7*17<sup>2</sup>)
|(2<sup>3</sup>*11*23)/(7*17<sup>2</sup>)
|
|
|
|
|
Line 1,232: Line 1,432:
|0.79251
|0.79251
|(5*19*23)/(2<sup>3</sup>*3*7*13)
|(5*19*23)/(2<sup>3</sup>*3*7*13)
|
|
|
|
|
|-
|-
! colspan="5" | 29-limit (incomplete)
! colspan="6" | 29-limit (incomplete)
|-
|-
| [[29/28]]
| [[29/28]]
Line 1,242: Line 1,443:
|  
|  
|  
|  
|
|-
|-
| [[30/29]]
| [[30/29]]
Line 1,248: Line 1,450:
|  
|  
|  
|  
|
|-
|-
| [[58/57]]
| [[58/57]]
Line 1,254: Line 1,457:
|  
|  
|  
|  
|
|-
|-
| [[88/87]]
| [[88/87]]
Line 1,260: Line 1,464:
|  
|  
|  
|  
|
|-
|-
| 116/115
| 116/115
Line 1,266: Line 1,471:
|  
|  
|  
|  
|
|-
|-
| 117/116
| 117/116
Line 1,272: Line 1,478:
|  
|  
|  
|  
|
|-
|-
| 145/144
| 145/144
Line 1,278: Line 1,485:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 31-limit (incomplete)
! colspan="6" | 31-limit (incomplete)
|-
|-
| [[31/30]]
| [[31/30]]
Line 1,286: Line 1,494:
|  
|  
| large tricesimoprimal 1/4-tone
| large tricesimoprimal 1/4-tone
|
|-
|-
| [[32/31]]
| [[32/31]]
Line 1,292: Line 1,501:
|  
|  
| small tricesimoprimal 1/4-tone, 31st subharmonic
| small tricesimoprimal 1/4-tone, 31st subharmonic
|
|-
|-
| [[63/62]]
| [[63/62]]
Line 1,298: Line 1,508:
|  
|  
|  
|  
|
|-
|-
| [[93/92]]
| [[93/92]]
Line 1,304: Line 1,515:
|  
|  
|  
|  
|
|-
|-
| [[125/124]]
| [[125/124]]
Line 1,310: Line 1,522:
|  
|  
| Twizzler
| Twizzler
|
|-
|-
! colspan="5" | 37-limit (incomplete)
! colspan="6" | 37-limit (incomplete)
|-
|-
| [[37/36]]
| [[37/36]]
Line 1,318: Line 1,531:
|  
|  
|  
|  
|
|-
|-
| [[38/37]]
| [[38/37]]
Line 1,324: Line 1,538:
|  
|  
|  
|  
|
|-
|-
| [[75/74]]
| [[75/74]]
Line 1,330: Line 1,545:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 41-limit (incomplete)
! colspan="6" | 41-limit (incomplete)
|-
|-
| [[41/40]]
| [[41/40]]
Line 1,338: Line 1,554:
|  
|  
|  
|  
|
|-
|-
| [[42/41]]
| [[42/41]]
Line 1,344: Line 1,561:
|  
|  
|  
|  
|
|-
|-
| [[82/81]]
| [[82/81]]
Line 1,350: Line 1,568:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 43-limit (incomplete)
! colspan="6" | 43-limit (incomplete)
|-
|-
| [[43/42]]
| [[43/42]]
Line 1,358: Line 1,577:
|  
|  
|  
|  
|
|-
|-
| [[44/43]]
| [[44/43]]
Line 1,364: Line 1,584:
|  
|  
|  
|  
|
|-
|-
| [[86/85]]
| [[86/85]]
Line 1,370: Line 1,591:
|  
|  
|  
|  
|
|-
|-
| [[87/86]]
| [[87/86]]
Line 1,376: Line 1,598:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 47-limit (incomplete)
! colspan="6" | 47-limit (incomplete)
|-
|-
| [[47/46]]
| [[47/46]]
Line 1,384: Line 1,607:
|  
|  
|  
|  
|
|-
|-
| [[48/47]]
| [[48/47]]
Line 1,390: Line 1,614:
|  
|  
|  
|  
|
|-
|-
| [[94/93]]
| [[94/93]]
Line 1,396: Line 1,621:
|  
|  
|  
|  
|
|-
|-
| [[95/94]]
| [[95/94]]
Line 1,402: Line 1,628:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 53-limit (incomplete)
! colspan="6" | 53-limit (incomplete)
|-
|-
| [[53/52]]
| [[53/52]]
Line 1,410: Line 1,637:
|  
|  
|  
|  
|
|-
|-
| [[54/53]]
| [[54/53]]
Line 1,416: Line 1,644:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 59-limit (incomplete)
! colspan="5" | 59-limit (incomplete)
!
|-
|-
| [[59/58]]
| [[59/58]]
Line 1,424: Line 1,654:
|  
|  
|  
|  
|
|-
|-
| [[60/59]]
| [[60/59]]
Line 1,430: Line 1,661:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 61-limit (incomplete)
! colspan="6" | 61-limit (incomplete)
|-
|-
| [[61/60]]
| [[61/60]]
Line 1,438: Line 1,670:
|  
|  
|  
|  
|
|-
|-
| [[62/61]]
| [[62/61]]
Line 1,444: Line 1,677:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 67-limit (incomplete)
! colspan="6" | 67-limit (incomplete)
|-
|-
| [[67/66]]
| [[67/66]]
Line 1,452: Line 1,686:
|  
|  
|  
|  
|
|-
|-
| [[68/67]]
| [[68/67]]
Line 1,458: Line 1,693:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 71-limit (incomplete)
! colspan="6" | 71-limit (incomplete)
|-
|-
| [[71/70]]
| [[71/70]]
Line 1,466: Line 1,702:
|  
|  
|  
|  
|
|-
|-
| [[72/71]]
| [[72/71]]
Line 1,472: Line 1,709:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 73-limit (incomplete)
! colspan="6" | 73-limit (incomplete)
|-
|-
| [[73/72]]
| [[73/72]]
Line 1,480: Line 1,718:
|  
|  
|  
|  
|
|-
|-
| [[74/73]]
| [[74/73]]
Line 1,486: Line 1,725:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 79-limit (incomplete)
! colspan="6" | 79-limit (incomplete)
|-
|-
| [[79/78]]
| [[79/78]]
Line 1,494: Line 1,734:
|  
|  
|  
|  
|
|-
|-
| [[80/79]]
| [[80/79]]
Line 1,500: Line 1,741:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 83-limit (incomplete)
! colspan="6" | 83-limit (incomplete)
|-
|-
| [[83/82]]
| [[83/82]]
Line 1,508: Line 1,750:
|  
|  
|  
|  
|
|-
|-
| [[84/83]]
| [[84/83]]
Line 1,514: Line 1,757:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 89-limit (incomplete)
! colspan="6" | 89-limit (incomplete)
|-
|-
| [[89/88]]
| [[89/88]]
Line 1,522: Line 1,766:
|  
|  
|  
|  
|
|-
|-
| [[90/89]]
| [[90/89]]
Line 1,528: Line 1,773:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 97-limit (incomplete)
! colspan="6" | 97-limit (incomplete)
|-
|-
| [[97/96]]
| [[97/96]]
Line 1,536: Line 1,782:
|  
|  
|  
|  
|
|-
|-
| [[98/97]]
| [[98/97]]
Line 1,542: Line 1,789:
|  
|  
|  
|  
|
|-
|-
! colspan="5" | 101-limit (incomplete)
! colspan="6" | 101-limit (incomplete)
|-
|-
| [[101/100]]
| [[101/100]]
Line 1,550: Line 1,798:
|  
|  
|  
|  
|
|-
|-
| [[102/101]]
| [[102/101]]
Line 1,556: Line 1,805:
|  
|  
|  
|  
|
|}
|}


[[Category:Interval collection]]
[[Category:Interval collection]]
[[Category:Superparticular]]
[[Category:Superparticular]]
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"