Unnoticeable comma: Difference between revisions
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Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[conventions|convention]] elsewhere on the wiki. Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out. | Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[conventions|convention]] elsewhere on the wiki. Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out. | ||
== | == 3-limit commas == | ||
{{See also| Table of 3-limit commas }} | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 44: | Line 46: | ||
|} | |} | ||
== | == 5-limit commas == | ||
{{See also| Table of 5-limit commas }} | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 271: | Line 275: | ||
|} | |} | ||
== | == 7-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 505: | Line 509: | ||
|} | |} | ||
== | == 11-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 516: | Line 520: | ||
| [[swetismic_chords|swetisma]] | | [[swetismic_chords|swetisma]] | ||
| Lururuyo | | Lururuyo | ||
|1urry-2 | | 1urry-2 | ||
| 540/539 | | 540/539 | ||
| {{monzo| 2 3 1 -2 -1 }} | | {{monzo| 2 3 1 -2 -1 }} | ||
| Line 523: | Line 527: | ||
| [[4000/3993|wizardharry]] | | [[4000/3993|wizardharry]] | ||
| Triluyo | | Triluyo | ||
|1u<sup>3</sup>y<sup>3</sup>1 | | 1u<sup>3</sup>y<sup>3</sup>1 | ||
| 4000/3993 | | 4000/3993 | ||
| {{monzo| 5 -1 3 0 -3 }} | | {{monzo| 5 -1 3 0 -3 }} | ||
| Line 530: | Line 534: | ||
| [[symbiotic comma]], symbiosma | | [[symbiotic comma]], symbiosma | ||
| Salozo | | Salozo | ||
|s1oz2 | | s1oz2 | ||
| 19712/19683 | | 19712/19683 | ||
| {{monzo| 8 -9 0 1 1 }} | | {{monzo| 8 -9 0 1 1 }} | ||
| Line 537: | Line 541: | ||
| [[Vishdel comma|vishdel]] | | [[Vishdel comma|vishdel]] | ||
| Saloquadgu | | Saloquadgu | ||
|s1og<sup>4</sup>2 | | s1og<sup>4</sup>2 | ||
| 5632/5625 | | 5632/5625 | ||
| {{monzo| 9 -2 -4 0 1 }} | | {{monzo| 9 -2 -4 0 1 }} | ||
| Line 544: | Line 548: | ||
| [[nexus comma]], nexisma | | [[nexus comma]], nexisma | ||
| Tribilo | | Tribilo | ||
|1o<sup>6</sup>-2 | | 1o<sup>6</sup>-2 | ||
| 1771561/1769472 | | 1771561/1769472 | ||
| {{monzo| -16 -3 0 0 6 }} | | {{monzo| -16 -3 0 0 6 }} | ||
| Line 551: | Line 555: | ||
| [[tinge]] | | [[tinge]] | ||
| Lolotrizo | | Lolotrizo | ||
|1ooz<sup>3</sup>2 | | 1ooz<sup>3</sup>2 | ||
| 41503/41472 | | 41503/41472 | ||
| {{monzo| -9 -4 0 3 2 }} | | {{monzo| -9 -4 0 3 2 }} | ||
| Line 558: | Line 562: | ||
| [[olympia]] | | [[olympia]] | ||
| Salururu | | Salururu | ||
|s1urr1 | | s1urr1 | ||
| 131072/130977 | | 131072/130977 | ||
| {{monzo| 17 -5 0 -2 -1 }} | | {{monzo| 17 -5 0 -2 -1 }} | ||
| 1.25524 | | 1.25524 | ||
|- | |- | ||
|11-cycle schisma, 37-11-comma | | 11-cycle schisma, 37-11-comma | ||
|Quinsa-thiselu | | Quinsa-thiselu | ||
|s<sup>5</sup>1u<sup>37</sup>9 | | s<sup>5</sup>1u<sup>37</sup>9 | ||
| | | | ||
|{{monzo| 128 0 0 0 -37 }} | | {{monzo| 128 0 0 0 -37 }} | ||
|1.2361 | | 1.2361 | ||
|- | |- | ||
| undecimal hemifourths comma | | undecimal hemifourths comma | ||
| Bilozogugu | | Bilozogugu | ||
|1oozzg<sup>4</sup>2 | | 1oozzg<sup>4</sup>2 | ||
| 160083/160000 | | 160083/160000 | ||
| {{monzo| -8 3 -4 2 2 }} | | {{monzo| -8 3 -4 2 2 }} | ||
| Line 579: | Line 583: | ||
| sesdecal | | sesdecal | ||
| Laquadlu-asepyo | | Laquadlu-asepyo | ||
|L1u<sup>4</sup>y<sup>7</sup>-2 | | L1u<sup>4</sup>y<sup>7</sup>-2 | ||
| 234375/234256 | | 234375/234256 | ||
| {{monzo| -4 1 7 0 -4 }} | | {{monzo| -4 1 7 0 -4 }} | ||
| Line 586: | Line 590: | ||
| [[frameshift comma]] | | [[frameshift comma]] | ||
| Quadla-trilu | | Quadla-trilu | ||
|L<sup>4</sup>1u<sup>3</sup>-3 | | L<sup>4</sup>1u<sup>3</sup>-3 | ||
| | | | ||
| {{monzo| -34 28 0 0 -3 }} | | {{monzo| -34 28 0 0 -3 }} | ||
| Line 593: | Line 597: | ||
| hemigail | | hemigail | ||
| Quadlo-atriru | | Quadlo-atriru | ||
|1o<sup>4</sup>r<sup>3</sup>-3 | | 1o<sup>4</sup>r<sup>3</sup>-3 | ||
| 43923/43904 | | 43923/43904 | ||
| {{monzo| -7 1 0 -3 4 }} | | {{monzo| -7 1 0 -3 4 }} | ||
| Line 600: | Line 604: | ||
| [[3025/3024|lehmerisma]] | | [[3025/3024|lehmerisma]] | ||
| Loloruyoyo | | Loloruyoyo | ||
|1ooryy-2 | | 1ooryy-2 | ||
| 3025/3024 | | 3025/3024 | ||
| {{monzo| -4 -3 2 -1 2 }} | | {{monzo| -4 -3 2 -1 2 }} | ||
| Line 607: | Line 611: | ||
| [[quartisma]] | | [[quartisma]] | ||
| Saquinlu-azo | | Saquinlu-azo | ||
|s1u<sup>5</sup>z3 | | s1u<sup>5</sup>z3 | ||
| 117440512/117406179 | | 117440512/117406179 | ||
| {{monzo| 24 -6 0 1 -5 }} | | {{monzo| 24 -6 0 1 -5 }} | ||
| Line 614: | Line 618: | ||
| [[9801/9800|kalisma]], Gauss' comma | | [[9801/9800|kalisma]], Gauss' comma | ||
| Bilorugu | | Bilorugu | ||
|1oorrgg-2 | | 1oorrgg-2 | ||
| 9801/9800 | | 9801/9800 | ||
| {{monzo| -3 4 -2 -2 2 }} | | {{monzo| -3 4 -2 -2 2 }} | ||
| Line 621: | Line 625: | ||
| odiheim | | odiheim | ||
| Luluquinzo-aquadgu | | Luluquinzo-aquadgu | ||
|1uuz<sup>5</sup>g<sup>4</sup>4 | | 1uuz<sup>5</sup>g<sup>4</sup>4 | ||
| 151263/151250 | | 151263/151250 | ||
| {{monzo| -1 2 -4 5 -2 }} | | {{monzo| -1 2 -4 5 -2 }} | ||
| Line 628: | Line 632: | ||
| [[parimo]] | | [[parimo]] | ||
| Satribilo-agu | | Satribilo-agu | ||
|s1o<sup>6</sup>g1 | | s1o<sup>6</sup>g1 | ||
| 1771561/1771470 | | 1771561/1771470 | ||
| {{monzo| -1 -11 -1 0 6 }} | | {{monzo| -1 -11 -1 0 6 }} | ||
| Line 635: | Line 639: | ||
| parisma | | parisma | ||
| Laquadlu-arurugu | | Laquadlu-arurugu | ||
|L1u<sup>4</sup>rrg-2 | | L1u<sup>4</sup>rrg-2 | ||
| 14348907/14348180 | | 14348907/14348180 | ||
| {{monzo| -2 15 -1 -2 -4 }} | | {{monzo| -2 15 -1 -2 -4 }} | ||
| Line 642: | Line 646: | ||
| ultimo | | ultimo | ||
| Quadlo-asepru-ayoyo | | Quadlo-asepru-ayoyo | ||
|1o<sup>4</sup>r<sup>7</sup>yy-5 | | 1o<sup>4</sup>r<sup>7</sup>yy-5 | ||
| 3294225/3294172 | | 3294225/3294172 | ||
| {{monzo| -2 2 2 -7 4 }} | | {{monzo| -2 2 2 -7 4 }} | ||
| Line 649: | Line 653: | ||
| parismina | | parismina | ||
| Sasa-quinbilo-azozo | | Sasa-quinbilo-azozo | ||
|ss1o<sup>10</sup>zz2 | | ss1o<sup>10</sup>zz2 | ||
| | | | ||
| {{monzo| 1 -26 0 2 10}} | | {{monzo| 1 -26 0 2 10}} | ||
| Line 655: | Line 659: | ||
|} | |} | ||
== | == 13-limit commas == | ||
{| class="wikitable center-3" | {| class="wikitable center-3" | ||
|- | |- | ||
| Line 666: | Line 670: | ||
| [[wilschisma]] | | [[wilschisma]] | ||
| Sathoyo | | Sathoyo | ||
|s3oy2 | | s3oy2 | ||
| 532480/531441 | | 532480/531441 | ||
| {{monzo| 13 -12 1 0 0 1 }} | | {{monzo| 13 -12 1 0 0 1 }} | ||
| Line 673: | Line 677: | ||
| bean | | bean | ||
| Sathuquinlu | | Sathuquinlu | ||
|s3u1u<sup>5</sup>2 | | s3u1u<sup>5</sup>2 | ||
| 2097152/2093663 | | 2097152/2093663 | ||
| {{monzo| 21 0 0 0 -5 -1 }} | | {{monzo| 21 0 0 0 -5 -1 }} | ||
| Line 680: | Line 684: | ||
| [[625/624|tunbarsma]] | | [[625/624|tunbarsma]] | ||
| Thuquadyo | | Thuquadyo | ||
|3uy<sup>4</sup>-2 | | 3uy<sup>4</sup>-2 | ||
| 625/624 | | 625/624 | ||
| {{monzo| -4 -1 4 0 0 -1 }} | | {{monzo| -4 -1 4 0 0 -1 }} | ||
| Line 687: | Line 691: | ||
| [[676/675|island comma]] | | [[676/675|island comma]] | ||
| Bithogu | | Bithogu | ||
|3oogg2 | | 3oogg2 | ||
| 676/675 | | 676/675 | ||
| {{monzo| 2 -3 -2 0 0 2 }} | | {{monzo| 2 -3 -2 0 0 2 }} | ||
| Line 694: | Line 698: | ||
| [[squbemic_chords|squbema]] | | [[squbemic_chords|squbema]] | ||
| Lathuru | | Lathuru | ||
|L3ur-2 | | L3ur-2 | ||
| 729/728 | | 729/728 | ||
| {{monzo| -3 6 0 -1 0 -1 }} | | {{monzo| -3 6 0 -1 0 -1 }} | ||
| Line 701: | Line 705: | ||
| [[petrmic_triad|petrma]] | | [[petrmic_triad|petrma]] | ||
| Trithu-aloyoyo | | Trithu-aloyoyo | ||
|3u<sup>3</sup>1oyy-2 | | 3u<sup>3</sup>1oyy-2 | ||
| 2200/2197 | | 2200/2197 | ||
| {{monzo| 3 0 2 0 1 -3 }} | | {{monzo| 3 0 2 0 1 -3 }} | ||
| Line 708: | Line 712: | ||
| [[nicolic_tetrad|nicola]] | | [[nicolic_tetrad|nicola]] | ||
| Thululuzoyoyo | | Thululuzoyoyo | ||
|3u1uuzyy1 | | 3u1uuzyy1 | ||
| 1575/1573 | | 1575/1573 | ||
| {{monzo| 0 2 2 1 -2 -1 }} | | {{monzo| 0 2 2 1 -2 -1 }} | ||
| Line 715: | Line 719: | ||
| [[1001/1000|sinbadma]] | | [[1001/1000|sinbadma]] | ||
| Tholozotrigu | | Tholozotrigu | ||
|3o1ozg<sup>3</sup>2 | | 3o1ozg<sup>3</sup>2 | ||
| 1001/1000 | | 1001/1000 | ||
| {{monzo| -3 0 -3 1 1 1 }} | | {{monzo| -3 0 -3 1 1 1 }} | ||
| Line 722: | Line 726: | ||
| [[cantonisma]] | | [[cantonisma]] | ||
| Trithoru-ayo | | Trithoru-ayo | ||
|3o<sup>3</sup>r<sup>3</sup>y-2 | | 3o<sup>3</sup>r<sup>3</sup>y-2 | ||
| 10985/10976 | | 10985/10976 | ||
| {{monzo| -5 0 1 -3 0 3 }} | | {{monzo| -5 0 1 -3 0 3 }} | ||
| Line 729: | Line 733: | ||
| lummic | | lummic | ||
| Tholotriru-agu | | Tholotriru-agu | ||
|3o1or<sup>3</sup>g-2 | | 3o1or<sup>3</sup>g-2 | ||
| 1716/1715 | | 1716/1715 | ||
| {{monzo| 2 1 -1 -3 1 1 }} | | {{monzo| 2 1 -1 -3 1 1 }} | ||
| Line 736: | Line 740: | ||
| [[2080/2079|ibnsinma]] | | [[2080/2079|ibnsinma]] | ||
| Tholuruyo | | Tholuruyo | ||
|3o1ury1 | | 3o1ury1 | ||
| 2080/2079 | | 2080/2079 | ||
| {{monzo| 5 -3 1 -1 -1 1 }} | | {{monzo| 5 -3 1 -1 -1 1 }} | ||
| Line 743: | Line 747: | ||
| [[phaotic comma|phaotic]], phaotisma | | [[phaotic comma|phaotic]], phaotisma | ||
| Sathotriyo | | Sathotriyo | ||
|s3uy<sup>3</sup>1 | | s3uy<sup>3</sup>1 | ||
| 256000/255879 | | 256000/255879 | ||
| {{monzo| 11 -9 3 0 0 -1 }} | | {{monzo| 11 -9 3 0 0 -1 }} | ||
| Line 750: | Line 754: | ||
| [[4096/4095|schismina]] | | [[4096/4095|schismina]] | ||
| Sathurugu | | Sathurugu | ||
|s3urg1 | | s3urg1 | ||
| 4096/4095 | | 4096/4095 | ||
| {{monzo| 12 -2 -1 -1 0 -1 }} | | {{monzo| 12 -2 -1 -1 0 -1 }} | ||
| Line 757: | Line 761: | ||
| leprechaun comma | | leprechaun comma | ||
| Thotholuyoyo | | Thotholuyoyo | ||
|3oo1uyy1 | | 3oo1uyy1 | ||
| 4225/4224 | | 4225/4224 | ||
| {{monzo| -7 -1 2 0 -1 2 }} | | {{monzo| -7 -1 2 0 -1 2 }} | ||
| Line 764: | Line 768: | ||
| [[6656/6655|jacobin]] | | [[6656/6655|jacobin]] | ||
| Thotrilu-agu | | Thotrilu-agu | ||
|3o1u<sup>3</sup>g2 | | 3o1u<sup>3</sup>g2 | ||
| 6656/6655 | | 6656/6655 | ||
| {{monzo| 9 0 -1 0 -3 1 }} | | {{monzo| 9 0 -1 0 -3 1 }} | ||
| Line 771: | Line 775: | ||
| [[10648/10647|harmonisma]] | | [[10648/10647|harmonisma]] | ||
| Thuthutrilo-aru | | Thuthutrilo-aru | ||
|3uu1o<sup>3</sup>r-2 | | 3uu1o<sup>3</sup>r-2 | ||
| 10648/10647 | | 10648/10647 | ||
| {{monzo| 3 -2 0 -1 3 -2 }} | | {{monzo| 3 -2 0 -1 3 -2 }} | ||
| Line 778: | Line 782: | ||
| [[pentonisma]] | | [[pentonisma]] | ||
| Saquinthuzogu | | Saquinthuzogu | ||
|s3u<sup>5</sup>z<sup>5</sup>g<sup>5</sup>4 | | s3u<sup>5</sup>z<sup>5</sup>g<sup>5</sup>4 | ||
| | | | ||
| {{monzo| 24 -5 -5 5 0 -5 }} | | {{monzo| 24 -5 -5 5 0 -5 }} | ||
| Line 785: | Line 789: | ||
| [[chalmersia]] | | [[chalmersia]] | ||
| Lathotholurugugu | | Lathotholurugugu | ||
|L3oo1urgg1 | | L3oo1urgg1 | ||
| 123201/123200 | | 123201/123200 | ||
| {{monzo| -6 6 -2 -1 -1 2 }} | | {{monzo| -6 6 -2 -1 -1 2 }} | ||
| Line 921: | Line 925: | ||
== 19-limit commas == | == 19-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 932: | Line 935: | ||
| undevicesimal comma, undevicesimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref>, <br> Boethius' comma, Hunt 19-minor mediant comma | | undevicesimal comma, undevicesimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref>, <br> Boethius' comma, Hunt 19-minor mediant comma | ||
| Lano | | Lano | ||
|L19o1 | | L19o1 | ||
| [[513/512]] | | [[513/512]] | ||
| {{monzo| -9 3 0 0 0 0 0 1 }} | | {{monzo| -9 3 0 0 0 0 0 1 }} | ||
| Line 939: | Line 942: | ||
| password, Eratosthenes' comma | | password, Eratosthenes' comma | ||
| Sanogu | | Sanogu | ||
|s19og2 | | s19og2 | ||
| [[1216/1215]] | | [[1216/1215]] | ||
| {{monzo| 6 -5 -1 0 0 0 0 1 }} | | {{monzo| 6 -5 -1 0 0 0 0 1 }} | ||
| Line 946: | Line 949: | ||
| aureusma | | aureusma | ||
| Nunusosoyo | | Nunusosoyo | ||
|19uu17ooy1 | | 19uu17ooy1 | ||
| [[1445/1444]] | | [[1445/1444]] | ||
| {{monzo| -2 0 1 0 0 0 2 -2 }} | | {{monzo| -2 0 1 0 0 0 2 -2 }} | ||
| Line 953: | Line 956: | ||
| pinkanberry | | pinkanberry | ||
| Nuthothogu | | Nuthothogu | ||
|19u3o3og1 | | 19u3o3og1 | ||
| [[1521/1520]] | | [[1521/1520]] | ||
| {{monzo| -4 2 -1 0 0 2 0 -1 }} | | {{monzo| -4 2 -1 0 0 2 0 -1 }} | ||
| Line 960: | Line 963: | ||
| ramanujanisma | | ramanujanisma | ||
| Nothozo | | Nothozo | ||
|19o3oz2 | | 19o3oz2 | ||
| [[1729/1728]] | | [[1729/1728]] | ||
| {{monzo| -6 -3 0 1 0 1 0 1 }} | | {{monzo| -6 -3 0 1 0 1 0 1 }} | ||
| Line 967: | Line 970: | ||
| Blumeyer comma | | Blumeyer comma | ||
| Nosuthulu | | Nosuthulu | ||
|19o17u3u1u1 | | 19o17u3u1u1 | ||
| 2432/2431 | | 2432/2431 | ||
| {{monzo| 7 0 0 0 -1 -1 -1 1 }} | | {{monzo| 7 0 0 0 -1 -1 -1 1 }} | ||
| Line 974: | Line 977: | ||
| BMO schismina | | BMO schismina | ||
| Sabinothu | | Sabinothu | ||
|s19oo3uu2 | | s19oo3uu2 | ||
| 369664/369603 | | 369664/369603 | ||
| {{monzo| 10 -7 0 0 0 -2 0 2 }} | | {{monzo| 10 -7 0 0 0 -2 0 2 }} | ||
| Line 981: | Line 984: | ||
| frouggie comma | | frouggie comma | ||
| Nusuquinthu-aquadlo | | Nusuquinthu-aquadlo | ||
|19u17u3u<sup>5</sup>1o<sup>4</sup>-3 | | 19u17u3u<sup>5</sup>1o<sup>4</sup>-3 | ||
| 119939072/119927639 | | 119939072/119927639 | ||
| {{monzo| 13 0 0 0 4 -5 -1 -1 }} | | {{monzo| 13 0 0 0 4 -5 -1 -1 }} | ||
| Line 988: | Line 991: | ||
| pollar comma | | pollar comma | ||
| Nunusuquintho-alulu | | Nunusuquintho-alulu | ||
|19uu17u3o<sup>5</sup>1uu1 | | 19uu17u3o<sup>5</sup>1uu1 | ||
| 742586/742577 | | 742586/742577 | ||
| {{monzo| 1 0 0 0 -2 5 -1 -2 }} | | {{monzo| 1 0 0 0 -2 5 -1 -2 }} | ||
| Line 995: | Line 998: | ||
| decimillisma, 19-limit decimill | | decimillisma, 19-limit decimill | ||
| Sanosorurutrigu | | Sanosorurutrigu | ||
|s19o17orrg<sup>3</sup>2 | | s19o17orrg<sup>3</sup>2 | ||
| 165376/165375 | | 165376/165375 | ||
| {{monzo| 9 -3 -3 -2 0 0 1 1 }} | | {{monzo| 9 -3 -3 -2 0 0 1 1 }} | ||
| Line 1,001: | Line 1,004: | ||
|} | |} | ||
== | == Higher-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 1,053: | Line 1,055: | ||
| 0.026341 | | 0.026341 | ||
|} | |} | ||
== Notes == | |||
[[Category:Commas]] | [[Category:Commas]] | ||
[[Category:Unnoticeable commas| ]] | [[Category:Unnoticeable commas| ]] <!-- main article --> | ||
<!-- main article --> | |||
Revision as of 06:33, 14 December 2022
Unnoticeable commas are very small intervals. These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak JND (just-noticeable difference) of human pitch perception, as illustrated by the research of Aaron Andrew Hunt. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed microtempering. (However, a considerably larger comma can be unnoticeable in an adaptive tuning context. Instead of one large pitch shift of the entire comma, there can be many small pitch shifts of a fraction of a comma, one per chord change.)
For commas over 100 cents in size, see Large comma; for commas in between 30 and 100 cents in size, see Medium comma; and for commas over 3.5 cents in size, see Small comma.
Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the convention elsewhere on the wiki. Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
3-limit commas
| Name(s) | Color name | Monzo | Cents | |
|---|---|---|---|---|
| 359-comma | Wa-359 | w-359 | [-569 359⟩ | 1.8453 |
| Sasktel comma | Wa-306 | w-306 | [485 -306⟩ | 1.7697 |
| Satanic comma | Wa-665 | w-665 | [-1054 665⟩ | 0.075575 |
| 15601-comma | Wa-15601 | w-15601 | [24727 -15601⟩ | 0.031499 |
| 31867-comma | Wa-31867 | w-31867 | [-50508 31867⟩ | 0.012577 |
5-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| dodifo | Quadla-sepquinyo | L4y35-9 | [-67 -9 35⟩ | 3.3850 | |
| vishnuzma, semisuper | Sasepbigu | sg144 | 6115295232/6103515625 | [23 6 -14⟩ | 3.3380 |
| enneadeca, 19-tone-comma | Neyo | y19-4 | 19073486328125/19042491875328 | [-14 -19 19⟩ | 2.8155 |
| vavoom comma | Quinla-seyo | L5y17-7 | [-68 18 17⟩ | 2.5232 | |
| tricot comma | Quadsa-triyo | s4y33 | 68719476736000/68630377364883 | [39 -29 3⟩ | 2.2461 |
| schisma | Layo | Ly-2 | 32805/32768 | [-15 8 1⟩ | 1.9537 |
| counterschisma | Tribilagu | L6g-5 | [-69 45 -1⟩ | 1.6613 | |
| septendecima | Lala-sebiyo | LLy34-8 | [-52 -17 34⟩ | 1.4313 | |
| hemithirds comma, lunama | Sasa-quintrigu | ssg155 | 274877906944/274658203125 | [38 -2 -15⟩ | 1.3843 |
| minortone comma, minortonma | Trila-segu | L3g172 | [-16 35 -17⟩ | 1.0919 | |
| ennealimma | Satritribiyo | sy18-3 | 7629394531250/7625597484987 | [1 -27 18⟩ | 0.86183 |
| astro | Tribisa-thiwegu | s6g3110 | [91 -12 -31⟩ | 0.81486 | |
| gaster comma | Quadbila-negu | L8g19-3 | [-70 72 -19⟩ | 0.79950 | |
| kwazy | Quadla-quadquadyo | L4y16-6 | [-53 10 16⟩ | 0.56943 | |
| whoosh | Saletrigu | sg337 | [37 25 -33⟩ | 0.52246 | |
| egads | Setriyo | y51-9 | [-36 -52 51⟩ | 0.33936 | |
| monzisma | Quinsa-yoyo | s5yy4 | [54 -37 2⟩ | 0.29240 | |
| fortune | Tritrila-sepbiyo | L9y14-9 | [-107 47 14⟩ | 0.27703 | |
| gross | Quinbisa-fosegu | s10g4715 | [144 -22 -47⟩ | 0.24543 | |
| senior | Quadla-sepquingu | L4g354 | [-17 62 -35⟩ | 0.23007 | |
| 665&3684 comma | Quintritrilayo | L45y-31 | [-500 314 1⟩ | 0.18399 | |
| raider | Tritrisa-thiseyo | s9y371 | [71 -99 37⟩ | 0.062327 | |
| pirate | Quinla-sepsepyo | L5y49-12 | [-90 -15 49⟩ | 0.046966 | |
| viking | Nela-siweyo | L19y61-23 | [-251 69 61⟩ | 0.031605 | |
| Kirnberger's atom | Sepbisa-quadtrigu | s14g1212 | [161 -84 -12⟩ | 0.015361 | |
| selenia | [-433 -137 280⟩ | 0.0047636 | |||
| titania | [2746 -521 -827⟩ | 0.0031829 | |||
| quark | Twethebila-sequinyo | [-573 237 85⟩ | 8.8361 × 10-4 | ||
| scamp | [-5836 4293 -417⟩ | 3.3472 × 10-5 | |||
| rover | [1634 1502 -1729⟩ | 2.7513 × 10-5 | |||
| rascal | [-7470 2791 1312⟩ | 5.9596 × 10-6 | |||
7-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| decovulture | Sasa-birugugu | ssrrg42 | 67108864/66976875 | [26 -7 -4 -2⟩ | 3.4083 |
| rainy | Laquinzo-atriyo | Lz5y32 | 2100875/2097152 | [-21 0 3 5⟩ | 3.0706 |
| pontiqak | Lazozotritriyo | Lzzy9-2 | 95703125/95551488 | [-17 -6 9 2⟩ | 2.7452 |
| mitonisma | Laquadzo-agu | Lz4g2 | 5250987/5242880 | [-20 7 -1 4⟩ | 2.6749 |
| horwell | Lazoquinyo | Lzy5-2 | 65625/65536 | [-16 1 5 1⟩ | 2.3495 |
| forge comma | 1640558367/163840000 | [-19 14 -5 3⟩ | 2.2792 | ||
| neptunisma | Laruruleyo | Lrry11-4 | 48828125/48771072 | [-12 -5 11 -2⟩ | 2.0240 |
| septiennealimma | Tritrizo | z95 | 40353607/40310784 | [-11 -9 0 9⟩ | 1.8382 |
| meter | Latriru-asepyo | Lr3y7-4 | 703125/702464 | [-11 2 7 -3⟩ | 1.6283 |
| skeetsma | Lala-rutrigu | LLrg3-2 | 14348907/14336000 | [-14 15 -3 -1⟩ | 1.5580 |
| wizma | Quinzo-ayoyo | z5yy3 | 420175/419904 | [-6 -8 2 5⟩ | 1.1170 |
| supermatertisma | Lasepru-atritriyo | Lr7y9-6 | 52734375/52706752 | [-6 3 9 -7⟩ | 0.90708 |
| trienstonisma | Laquinru-agu | Lr5g-4 | 43046721/43025920 | [-9 16 -1 -5⟩ | 0.83677 |
| breedsma | Bizozogu | z4gg3 | 2401/2400 | [-5 -1 -2 4⟩ | 0.72120 |
| 171-9/7-comma | Quadtribisa-netritrizo | [62 -342 0 171⟩ | 0.61971 | ||
| supermasesquartisma | Laquadbiru-aquinyo | Lr8y5-6 | 184528125/184473632 | [-5 10 5 -8⟩ | 0.51133 |
| 571-7-comma | [1603 0 0 -571⟩ | 0.40741 | |||
| ragisma | Zoquadyo | zy41 | 4375/4374 | [-1 -7 4 1⟩ | 0.39576 |
| septiruthenia | Nela-lequadzo | L19z448 | [-263 88 0 44⟩ | 0.37996 | |
| akjaysma, 5\7 octave comma | Trisa-seprugu | s3r7g71 | [47 -7 -7 -7⟩ | 0.33765 | |
| landscape | Trizogugu | z3g63 | 250047/250000 | [-4 6 -6 3⟩ | 0.32544 |
| izar, bapbo schismina | Saquadtrizo-asepgu | sz12g78 | 13841287201/13839609375 | [0 -11 -7 12⟩ | 0.20987 |
| nanisma | Quinbisaru | s10r7 | [109 -67 0 -1⟩ | 0.18904 | |
| laleruyo (171&1547&3125) | Laleruyo | Lr11y11-8 | 3955078125/3954653486 | [-1 4 11 -11⟩ | 0.18588 |
| 87-fold starling comma | Twenetri-zotrigu | [86 174 -261 87⟩ | 0.14469 | ||
| starscape | Latritriru-ayo | Lr9y-6 | 645700815/645657712 | [-4 17 1 -9⟩ | 0.11557 |
| quinla-zoyoyo (12&53&612) | Quinla-zoyoyo | L5zzy-4 | [-55 30 2 1⟩ | 0.10336 | |
| euzenius | Sabiruquinyo | srry10-3 | 78125000/78121827 | [3 -13 10 -2⟩ | 0.070314 |
| 171&1547&4973 comma | Satwethezo-atritribigu | sz23g1815 | [1 -15 -18 23⟩ | 0.023986 | |
| trisa-quinbiru-agu (441&1848&3125) | Trisa-quinbiru-agu | s3r10g-3 | [51 -13 -1 -10⟩ | 0.012210 | |
| termite | Satritribiru-athiseyo | sr18y37-14 | [9 -28 37 -18⟩ | 0.0010723 | |
| neutrino | [1889 -2145 138 424⟩ | 1.6361 × 10-10 | |||
11-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| swetisma | Lururuyo | 1urry-2 | 540/539 | [2 3 1 -2 -1⟩ | 3.2090 |
| wizardharry | Triluyo | 1u3y31 | 4000/3993 | [5 -1 3 0 -3⟩ | 3.0323 |
| symbiotic comma, symbiosma | Salozo | s1oz2 | 19712/19683 | [8 -9 0 1 1⟩ | 2.5488 |
| vishdel | Saloquadgu | s1og42 | 5632/5625 | [9 -2 -4 0 1⟩ | 2.1531 |
| nexus comma, nexisma | Tribilo | 1o6-2 | 1771561/1769472 | [-16 -3 0 0 6⟩ | 2.04265 |
| tinge | Lolotrizo | 1ooz32 | 41503/41472 | [-9 -4 0 3 2⟩ | 1.29360 |
| olympia | Salururu | s1urr1 | 131072/130977 | [17 -5 0 -2 -1⟩ | 1.25524 |
| 11-cycle schisma, 37-11-comma | Quinsa-thiselu | s51u379 | [128 0 0 0 -37⟩ | 1.2361 | |
| undecimal hemifourths comma | Bilozogugu | 1oozzg42 | 160083/160000 | [-8 3 -4 2 2⟩ | 0.89784 |
| sesdecal | Laquadlu-asepyo | L1u4y7-2 | 234375/234256 | [-4 1 7 0 -4⟩ | 0.87923 |
| frameshift comma | Quadla-trilu | L41u3-3 | [-34 28 0 0 -3⟩ | 0.78620 | |
| hemigail | Quadlo-atriru | 1o4r3-3 | 43923/43904 | [-7 1 0 -3 4⟩ | 0.74905 |
| lehmerisma | Loloruyoyo | 1ooryy-2 | 3025/3024 | [-4 -3 2 -1 2⟩ | 0.57240 |
| quartisma | Saquinlu-azo | s1u5z3 | 117440512/117406179 | [24 -6 0 1 -5⟩ | 0.50619 |
| kalisma, Gauss' comma | Bilorugu | 1oorrgg-2 | 9801/9800 | [-3 4 -2 -2 2⟩ | 0.17665 |
| odiheim | Luluquinzo-aquadgu | 1uuz5g44 | 151263/151250 | [-1 2 -4 5 -2⟩ | 0.14879 |
| parimo | Satribilo-agu | s1o6g1 | 1771561/1771470 | [-1 -11 -1 0 6⟩ | 0.088931 |
| parisma | Laquadlu-arurugu | L1u4rrg-2 | 14348907/14348180 | [-2 15 -1 -2 -4⟩ | 0.087717 |
| ultimo | Quadlo-asepru-ayoyo | 1o4r7yy-5 | 3294225/3294172 | [-2 2 2 -7 4⟩ | 0.027854 |
| parismina | Sasa-quinbilo-azozo | ss1o10zz2 | [1 -26 0 2 10⟩ | 0.0012141 | |
13-limit commas
| Name | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| wilschisma | Sathoyo | s3oy2 | 532480/531441 | [13 -12 1 0 0 1⟩ | 3.3814 |
| bean | Sathuquinlu | s3u1u52 | 2097152/2093663 | [21 0 0 0 -5 -1⟩ | 2.8826 |
| tunbarsma | Thuquadyo | 3uy4-2 | 625/624 | [-4 -1 4 0 0 -1⟩ | 2.7722 |
| island comma | Bithogu | 3oogg2 | 676/675 | [2 -3 -2 0 0 2⟩ | 2.5629 |
| squbema | Lathuru | L3ur-2 | 729/728 | [-3 6 0 -1 0 -1⟩ | 2.3764 |
| petrma | Trithu-aloyoyo | 3u31oyy-2 | 2200/2197 | [3 0 2 0 1 -3⟩ | 2.3624 |
| nicola | Thululuzoyoyo | 3u1uuzyy1 | 1575/1573 | [0 2 2 1 -2 -1⟩ | 2.1998 |
| sinbadma | Tholozotrigu | 3o1ozg32 | 1001/1000 | [-3 0 -3 1 1 1⟩ | 1.7303 |
| cantonisma | Trithoru-ayo | 3o3r3y-2 | 10985/10976 | [-5 0 1 -3 0 3⟩ | 1.4190 |
| lummic | Tholotriru-agu | 3o1or3g-2 | 1716/1715 | [2 1 -1 -3 1 1⟩ | 1.0092 |
| ibnsinma | Tholuruyo | 3o1ury1 | 2080/2079 | [5 -3 1 -1 -1 1⟩ | 0.83252 |
| phaotic, phaotisma | Sathotriyo | s3uy31 | 256000/255879 | [11 -9 3 0 0 -1⟩ | 0.81847 |
| schismina | Sathurugu | s3urg1 | 4096/4095 | [12 -2 -1 -1 0 -1⟩ | 0.42272 |
| leprechaun comma | Thotholuyoyo | 3oo1uyy1 | 4225/4224 | [-7 -1 2 0 -1 2⟩ | 0.40981 |
| jacobin | Thotrilu-agu | 3o1u3g2 | 6656/6655 | [9 0 -1 0 -3 1⟩ | 0.26012 |
| harmonisma | Thuthutrilo-aru | 3uu1o3r-2 | 10648/10647 | [3 -2 0 -1 3 -2⟩ | 0.16260 |
| pentonisma | Saquinthuzogu | s3u5z5g54 | [24 -5 -5 5 0 -5⟩ | 0.14765 | |
| chalmersia | Lathotholurugugu | L3oo1urgg1 | 123201/123200 | [-6 6 -2 -1 -1 2⟩ | 0.014052 |
17-limit commas
| Name | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| dakotisma | 595/594 | [-1 -3 1 1 -1 0 1⟩ | 2.9121 | ||
| september comma, septendecimal bridge comma | Sutholoruyo | 17u3o1ory-2 | 715/714 | [-1 -1 1 -1 1 1 -1⟩ | 2.4230 |
| horizon comma | Sothuzozo | 17o3uzz2 | 833/832 | [-6 0 0 2 0 -1 1⟩ | 2.0796 |
| ainos comma, ainma | Sutholugu | 17u3o1ug1 | 936/935 | [3 2 -1 0 -1 1 -1⟩ | 1.8506 |
| twosquare comma | Sulolo | 17u1oo-2 | 1089/1088 | [-6 2 0 0 2 0 -1⟩ | 1.5905 |
| septendecimal quartertones comma | Sosolurugu | 17oo1urg2 | 1156/1155 | [2 -1 -1 -1 -1 0 2⟩ | 1.4983 |
| noellisma | Subizoyo | 17uzzyy1 | 1225/1224 | [-3 -2 2 2 0 0 -1⟩ | 1.4138 |
| Sothubiruyo | 17o3urryy-2 | 1275/1274 | [-1 1 2 -2 0 -1 1⟩ | 1.3584 | |
| palingenetic comma | 1701/1700 | [-2 5 -2 1 0 0 1⟩ | 1.0181 | ||
| xenisma | Sululutrizo | 17u1uuz32 | 2058/2057 | [1 1 0 3 -2 0 -1⟩ | 0.84143 |
| Sothologu | 17o3o1og2 | 2431/2430 | [-1 -5 -1 0 1 1 1⟩ | 0.71230 | |
| septendecimal six-tones comma | Sosothugugu | 17oo3ugg2 | 2601/2600 | [-3 2 -2 0 0 -1 2⟩ | 0.66573 |
| chlorisma | Sutriru | 17ur3-3 | 5832/5831 | [3 6 0 -3 0 0 -1⟩ | 0.29688 |
| (18/17)11(16/15) comma | Lalesu-agu | L17u11g-7 | [14 21 -1 0 0 0 -11⟩ | 0.23180 | |
| flashma | Sotholuzotrigu | 17o3o1uzg33 | 12376/12375 | [3 -2 -3 1 -1 1 1⟩ | 0.13989 |
| sparkisma | Sululuruyoyo | 17u1uuryy-2 | 14400/14399 | [6 2 2 -1 -2 0 -1⟩ | 0.12023 |
| scintillisma | Lasuthuluquadzo-agu | L17u3u1uz4g2 | 194481/194480 | [-4 4 -1 4 -1 -1 -1⟩ | 0.0089018 |
19-limit commas
| Name | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| undevicesimal comma, undevicesimal schisma[1], Boethius' comma, Hunt 19-minor mediant comma |
Lano | L19o1 | 513/512 | [-9 3 0 0 0 0 0 1⟩ | 3.3780 |
| password, Eratosthenes' comma | Sanogu | s19og2 | 1216/1215 | [6 -5 -1 0 0 0 0 1⟩ | 1.4243 |
| aureusma | Nunusosoyo | 19uu17ooy1 | 1445/1444 | [-2 0 1 0 0 0 2 -2⟩ | 1.1985 |
| pinkanberry | Nuthothogu | 19u3o3og1 | 1521/1520 | [-4 2 -1 0 0 2 0 -1⟩ | 1.1386 |
| ramanujanisma | Nothozo | 19o3oz2 | 1729/1728 | [-6 -3 0 1 0 1 0 1⟩ | 1.0016 |
| Blumeyer comma | Nosuthulu | 19o17u3u1u1 | 2432/2431 | [7 0 0 0 -1 -1 -1 1⟩ | 0.71200 |
| BMO schismina | Sabinothu | s19oo3uu2 | 369664/369603 | [10 -7 0 0 0 -2 0 2⟩ | 0.28570 |
| frouggie comma | Nusuquinthu-aquadlo | 19u17u3u51o4-3 | 119939072/119927639 | [13 0 0 0 4 -5 -1 -1⟩ | 0.16503 |
| pollar comma | Nunusuquintho-alulu | 19uu17u3o51uu1 | 742586/742577 | [1 0 0 0 -2 5 -1 -2⟩ | 0.020982 |
| decimillisma, 19-limit decimill | Sanosorurutrigu | s19o17orrg32 | 165376/165375 | [9 -3 -3 -2 0 0 1 1⟩ | 0.010469 |
Higher-limit commas
| Name | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| cmloegcmluinisma (/ˈʃmlɛg.ʃmlɪ.nɪs.mə/) | Twenutwethonu | 29u23o19u1 | 552/551 | [3 1 0 0 0 0 0 -1 1 -1⟩ | 3.139138 |
| owowhatsthisma | Thiwutwethogu | 31u23og2 | 621/620 | [-2 3 -1 0 0 0 0 0 1 0 -1⟩ | 2.79006 |
| eroğluisma | Bifowutweno | 41uu29oo2 | 1682/1681 | [1 0 0 0 0 0 0 0 0 2 0 0 -2⟩ | 1.029577 |
| kaifsma | Twethunosutholuzozogu | 23u19o17u3o1uzzg2 | 193648/193545 | [4 -2 -1 2 -1 1 -1 1 -1⟩ | 0.92108 |
| yunzee comma | Lathiwuzozo | L31uzz2 | 3969/3968 | [-7 4 0 2 0 0 0 0 0 0 -1⟩ | 0.43624 |
| palimilli | 1003001o23o1u1 | 23069023/23068672 | 2.11.23.1003001 [-21 -1 1 1⟩ | 0.026341 | |