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 --> | |||