Unnoticeable comma: Difference between revisions
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| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023) | | [[User:BudjarnLambeth|Budjarn Lambeth]] (2023) | ||
|- | |||
| [[E-shaped comma]] | |||
| Susuthoquadzo | |||
| 17uu3oz<sup>4</sup>2 | |||
| 31213/31212 | |||
| {{Monzo| -2 -3 0 4 0 1 -2 }} | |||
| 0.055466 | |||
| [[User:Xenllium|Xenllium]] (2023) | |||
|- | |- | ||
| [[Scintillisma]] | | [[Scintillisma]] |
Revision as of 08:37, 26 November 2023
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.
List of commas, by prime limit
3-limit commas
Name(s) | Color Name | Monzo | Cents | Named by | |
---|---|---|---|---|---|
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 | Marc Jones (1990) |
15601-comma | Wa-15601 | w-15601 | [24727 -15601⟩ | 0.031499 | |
31867-comma | Wa-31867 | w-31867 | [-50508 31867⟩ | 0.012577 | |
Archangelic comma | Wa-190537 comma | w-190537 | [301994 -190537⟩ | 0.000112 | Aura (2022) |
5-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Dodifo comma | Quadla-sepquinyo | L4y35-9 | [-67 -9 35⟩ | 3.3850 | Petr Pařízek (2011) | |
Vishnuzma, semisuper comma | Sasepbigu | sg144 | 6115295232/6103515625 | [23 6 -14⟩ | 3.3380 | Gene Ward Smith (2002) |
Enneadeca, 19-tone-comma | Neyo | y19-4 | 19073486328125/19042491875328 | [-14 -19 19⟩ | 2.8155 | Gene Ward Smith (2002) |
Vavoom comma | Quinla-seyo | L5y17-7 | [-68 18 17⟩ | 2.5232 | Paul Erlich (2002) | |
Tricot comma | Quadsa-triyo | s4y33 | 68719476736000/68630377364883 | [39 -29 3⟩ | 2.2461 | Paul Erlich (2002) |
Schisma | Layo | Ly-2 | 32805/32768 | [-15 8 1⟩ | 1.9537 | Hermann von Helmholtz, Alexander Ellis (1875) |
Counterschisma | Tribilagu | L6g-5 | [-69 45 -1⟩ | 1.6613 | Gene Ward Smith (2003) | |
Septendecima | Lala-sebiyo | LLy34-8 | [-52 -17 34⟩ | 1.4313 | ||
Luna comma, hemithirds comma | Sasa-quintrigu | ssg155 | 274877906944/274658203125 | [38 -2 -15⟩ | 1.3843 | Gene Ward Smith (2002) |
Minortone comma, minortonma | Trila-segu | L3g172 | [-16 35 -17⟩ | 1.0919 | Gene Ward Smith (2002) | |
Ennealimma | Satritribiyo | sy18-3 | 7629394531250/7625597484987 | [1 -27 18⟩ | 0.86183 | Paul Erlich, Gene Ward Smith (2001) |
Astro comma | Tribisa-thiwegu | s6g3110 | [91 -12 -31⟩ | 0.81486 | Paul Erlich (2002) | |
Gaster comma | Quadbila-negu | L8g19-3 | [-70 72 -19⟩ | 0.79950 | Xenllium (2022) | |
Kwazy | Quadla-quadquadyo | L4y16-6 | [-53 10 16⟩ | 0.56943 | Paul Erlich, Gene Ward Smith (2002) | |
Whoosh | Saletrigu | sg337 | [37 25 -33⟩ | 0.52246 | Paul Erlich (2002) | |
Egads | Setriyo | y51-9 | [-36 -52 51⟩ | 0.33936 | Paul Erlich (2002) | |
Monzisma | Quinsa-yoyo | s5yy4 | [54 -37 2⟩ | 0.29240 | Margo Schulter (2001) | |
Fortune | Tritrila-sepbiyo | L9y14-9 | [-107 47 14⟩ | 0.27703 | Paul Erlich (2002) | |
Gross | Quinbisa-fosegu | s10g4715 | [144 -22 -47⟩ | 0.24543 | Paul Erlich (2002) | |
Senior | Quadla-sepquingu | L4g354 | [-17 62 -35⟩ | 0.23007 | Paul Erlich (2002) | |
Counterquectisma, deltapion | Quintritrilayo | L45y-31 | [-500 314 1⟩ | 0.18399 | Eliora (2023) | |
Quectisma | [554 -351 1⟩ | 0.10841 | CompactStar (2023) | |||
Raider | Tritrisa-thiseyo | s9y371 | [71 -99 37⟩ | 0.062327 | Gene Ward Smith (2002) | |
Pirate | Quinla-sepsepyo | L5y49-12 | [-90 -15 49⟩ | 0.046966 | Paul Erlich (2002) | |
Viking | Nela-siweyo | L19y61-23 | [-251 69 61⟩ | 0.031605 | Gene Ward Smith (2002) | |
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 | Named by | |
---|---|---|---|---|---|---|
Decovulture comma | Sasa-birugugu | ssrrg42 | 67108864/66976875 | [26 -7 -4 -2⟩ | 3.4083 | Xenllium (2021) |
Rainy comma | Laquinzo-atriyo | Lz5y32 | 2100875/2097152 | [-21 0 3 5⟩ | 3.0706 | +merlan #flirora (2020) |
Pontiqak comma | Lazozotritriyo | Lzzy9-2 | 95703125/95551488 | [-17 -6 9 2⟩ | 2.7452 | Xenllium (2021) |
Pessoalisma | Sasa-tribiru-agugu | ssr6gg-2 | 2147483648/2144153025 | [31 -6 -2 -6⟩ | 2.6871 | Aura (2023) |
Mitonisma | Laquadzo-agu | Lz4g2 | 5250987/5242880 | [-20 7 -1 4⟩ | 2.6749 | Xenllium (2021) |
Horwell comma | Lazoquinyo | Lzy5-2 | 65625/65536 | [-16 1 5 1⟩ | 2.3495 | |
Forge comma | Lala-trizo-aquingu | LLz3g52 | 1640558367/1638400000 | [-19 14 -5 3⟩ | 2.2792 | Aura (2022) |
Neptunisma | Laruruleyo | Lrry11-4 | 48828125/48771072 | [-12 -5 11 -2⟩ | 2.0240 | Xenllium (2021) |
Septiennealimma | Tritrizo | z95 | 40353607/40310784 | [-11 -9 0 9⟩ | 1.8382 | Eliora, Flora Canou (2021) |
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 | Jerdle (2021) |
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 | Xenllium (2021) |
Trienstonisma | Laquinru-agu | Lr5g-4 | 43046721/43025920 | [-9 16 -1 -5⟩ | 0.83677 | Xenllium (2021) |
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 | Xenllium (2021) |
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 | Eliora (2022) | |
Akjaysma | Trisa-seprugu | s3r7g71 | [47 -7 -7 -7⟩ | 0.33765 | Aaron Krister Johnson (2011) | |
Landscape comma | Trizogugu | z3g63 | 250047/250000 | [-4 6 -6 3⟩ | 0.32544 | |
Izar comma, bapbo schismina | Saquadtrizo-asepgu | sz12g78 | 13841287201/13839609375 | [0 -11 -7 12⟩ | 0.20987 | |
Nanisma | Quinbisaru | s10r7 | [109 -67 0 -1⟩ | 0.18904 | Margo Schulter (2002) | |
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 comma | Latritriru-ayo | Lr9y-6 | 645700815/645657712 | [-4 17 1 -9⟩ | 0.11557 | |
Nommisma | Quinla-zoyoyo | L5zzy-4 | [-55 30 2 1⟩ | 0.10336 | Flora Canou (2023) | |
Euzenius comma | 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 | Named by | |
---|---|---|---|---|---|---|
Lifthrasirsma | 536 870 912 / 535 869 675 | [29 -11 -2 0 -2⟩ | 3.2317 | Flora Canou (2023) | ||
Swetisma | Lururuyo | 1urry-2 | 540/539 | [2 3 1 -2 -1⟩ | 3.2090 | Manuel Op de Coul (2004) |
Wizardharry comma, pine comma | Triluyo | 1u3y31 | 4000/3993 | [5 -1 3 0 -3⟩ | 3.0323 | Godtone (2023) for pine comma |
Symbiotic comma | Salozo | s1oz2 | 19712/19683 | [8 -9 0 1 1⟩ | 2.5488 | Aura (2020) |
Vishdel comma | Saloquadgu | s1og42 | 5632/5625 | [9 -2 -4 0 1⟩ | 2.1531 | |
Nexus comma, nexisma | Tribilo | 1o6-2 | 1771561/1769472 | [-16 -3 0 0 6⟩ | 2.0427 | Aura (2020) |
Tinge | Lolotrizo | 1ooz32 | 41503/41472 | [-9 -4 0 3 2⟩ | 1.2936 | Gayle Young (2018), Todd Harrop (2020) |
Olympia | Salururu | s1urr1 | 131072/130977 | [17 -5 0 -2 -1⟩ | 1.2552 | Flora Canou (2021) |
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 | 22 876 792 454 961 / 22 866 405 883 904 | [-34 28 0 0 -3⟩ | 0.78620 | Aura (2021) |
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 | Gene Ward Smith (2004) |
Quartisma | Saquinlu-azo | s1u5z3 | 117 440 512 / 117 406 179 | [24 -6 0 1 -5⟩ | 0.50619 | Aura (2020) |
Kalisma, Gauss' comma | Bilorugu | 1oorrgg-2 | 9801/9800 | [-3 4 -2 -2 2⟩ | 0.17665 | Margo Schulter (2000) |
Odiheim | Luluquinzo-aquadgu | 1uuz5g44 | 151263/151250 | [-1 2 -4 5 -2⟩ | 0.14879 | |
Syntonisma | Trisa-lusepyo | s31uy72 | 83 886 080 000 000 / 83 881 572 334 857 | [30 -27 7 0 -1⟩ | 0.093031 | Xenllium (2023) |
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 | 2 541 867 610 898 / 2 541 865 828 329 | [1 -26 0 2 10⟩ | 0.0012141 |
13-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Wilschisma | Sathoyo | s3oy2 | 532480/531441 | [13 -12 1 0 0 1⟩ | 3.3814 | Flora Canou (2021) |
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 | Mike Battaglia (2011) |
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 | Margo Schulter (2013) |
Punctisma | Sathutrizogu | s3uz3g33 | 43904/43875 | [7 -3 -3 3 0 -1⟩ | 1.1439 | Jerdle, Aura (2023) |
Lummic comma | 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 | Margo Schulter (2012) |
Phaotic comma, phaotisma | Sathotriyo | s3uy31 | 256000/255879 | [11 -9 3 0 0 -1⟩ | 0.81847 | Aura (2021) |
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 | Margo Schulter (2012) |
Jacobin comma | Thotrilu-agu | 3o1u3g2 | 6656/6655 | [9 0 -1 0 -3 1⟩ | 0.26012 | Gene Ward Smith (2014) |
Harmonisma | Thuthutrilo-aru | 3uu1o3r-2 | 10648/10647 | [3 -2 0 -1 3 -2⟩ | 0.16260 | Margo Schulter (2002) |
Pentonisma | Saquinthuzogu | s3u5z5g54 | [24 -5 -5 5 0 -5⟩ | 0.14765 | Xenllium (2022) | |
Grossmisma | septholo-azogu | 3o71o7zg2 | [-30 -13 -1 1 7 7⟩ | 0.016410 | Xenllium (2023) | |
Chalmersia | Lathotholurugugu | L3oo1urgg1 | 123201/123200 | [-6 6 -2 -1 -1 2⟩ | 0.014052 | Gene Ward Smith (2003) |
17-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Monardisma, tsaharuk comma | Solorugu | 17o1org1 | 561/560 | [-4 1 -1 -1 1 0 1⟩ | 3.0887 | Scott Dakota (2023) for monardisma |
Dakotisma | Soluzoyo | 17o1uzy2 | 595/594 | [-1 -3 1 1 -1 0 1⟩ | 2.9121 | Praveen Venkataramana (2022) |
September comma | Sutholoruyo | 17u3o1ory-2 | 715/714 | [-1 -1 1 -1 1 1 -1⟩ | 2.4230 | Scott Dakota (2021) |
Horizma, horizon comma | Sothuzozo | 17o3uzz2 | 833/832 | [-6 0 0 2 0 -1 1⟩ | 2.0796 | Jerdle (2021) |
Ainisma, ainic comma | Sutholugu | 17u3o1ug1 | 936/935 | [3 2 -1 0 -1 1 -1⟩ | 1.8506 | Aura (2020) |
Fidesma | Susuruyoyo | 17uuryy-3 | 2025/2023 | [0 4 2 -1 0 0 -2⟩ | 1.7107 | Aura (2023) |
Twosquare comma | Sulolo | 17u1oo-2 | 1089/1088 | [-6 2 0 0 2 0 -1⟩ | 1.5905 | Kaiveran (2018) |
Quadrantonisma | Sosolurugu | 17oo1urg2 | 1156/1155 | [2 -1 -1 -1 -1 0 2⟩ | 1.4983 | Flora Canou (2023) |
Noellisma | Subizoyo | 17uzzyy1 | 1225/1224 | [-3 -2 2 2 0 0 -1⟩ | 1.4138 | Flora Canou (2022) |
Cimbrisma | Sothubiruyo | 17o3urryy-2 | 1275/1274 | [-1 1 2 -2 0 -1 1⟩ | 1.3584 | Xenllium (2023) |
Palingenetic comma, palingenesis | Suzogugu | 17uzgg1 | 1701/1700 | [-2 5 -2 1 0 0 -1⟩ | 1.0181 | Aura (2021) |
Laser comma | Lasorutriyo | L17ory3-2 | 57375/57344 | [-13 3 3 -1 0 0 1⟩ | 0.93564 | Jerdle (2023) |
Xenisma | Sululutrizo | 17u1uuz32 | 2058/2057 | [1 1 0 3 -2 0 -1⟩ | 0.84143 | Margo Schulter (2000) |
Cyclops comma | Sothululuru | 17o3u1uur1 | 11016/11011 | [3 4 0 -1 -2 -1 1⟩ | 0.78596 | Eliora (2022) |
Heptacircle comma | Sothologu | 17o3o1og2 | 2431/2430 | [-1 -5 -1 0 1 1 1⟩ | 0.71230 | Xenllium (2023) |
Sperasma | Subiruyoyo | 17urry4-3 | 2500/2499 | [2 -1 4 -2 0 0 -1⟩ | 0.69263 | Aura (2023) |
Sextantonisma | Sosothugugu | 17oo3ugg2 | 2601/2600 | [-3 2 -2 0 0 1 3⟩ | 0.66573 | Flora Canou (2023) |
Baladisma | Trisu-athozo | 17u33oz-2 | 4914/4913 | [1 3 0 1 0 1 -3⟩ | 0.35234 | Xenllium (2023) |
Chlorisma | Sutriru | 17ur3-3 | 5832/5831 | [3 6 0 -3 0 0 -1⟩ | 0.29688 | Jerdle (2021) |
Galileisma | Lalesu-agu | L17u11g-7 | [14 21 -1 0 0 0 -11⟩ | 0.23180 | Xenllium (2023) | |
Centisma | quinquinquadquadso | 17o400194 | 2.3.17 [-1001 -400 400⟩ | 0.16345 | CompactStar (2023) | |
Flashma | Sotholuzotrigu | 17o3o1uzg33 | 12376/12375 | [3 -2 -3 1 -1 1 1⟩ | 0.13989 | Kaiveran (2016) |
Sparkisma | Sululuruyoyo | 17u1uuryy-2 | 14400/14399 | [6 2 2 -1 -2 0 -1⟩ | 0.12023 | Kaiveran (2016) |
Insanobromisma | Sepquinsuyoyo | 17u35y70-29 | [36 -35 70 0 0 0 -35⟩ | 0.095608 | Eliora (2023) | |
Neuseisma | Suquadtho-arugu | 17u3o4rg1 | 28561/28560 | [-4 -1 -1 -1 0 4 -1⟩ | 0.060616 | Budjarn Lambeth (2023) |
E-shaped comma | Susuthoquadzo | 17uu3oz42 | 31213/31212 | [-2 -3 0 4 0 1 -2⟩ | 0.055466 | Xenllium (2023) |
Scintillisma | Lasuthuluquadzo-agu | L17u3u1uz4g2 | 194481/194480 | [-4 4 -1 4 -1 -1 -1⟩ | 0.0089018 | Margo Schulter (2012) |
19-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Undevicesimal comma, undevicesimal schisma, Boethius' comma, Hunt 19-minor mediant comma |
Lano | L19o1 | 513/512 | [-9 3 0 0 0 0 0 1⟩ | 3.3780 | Plainsound Music Edition (2020)[1] |
Buddhisma | Nosolulu | 19o17o1uu2 | 969/968 | [-3 1 0 0 -2 0 1 1⟩ | 1.7875 | Xenllium (2023) |
Password, Eratosthenes' comma | Sanogu | s19og2 | 1216/1215 | [6 -5 -1 0 0 0 0 1⟩ | 1.4243 | |
Solvejgsma | Nutrilo-arugu | 19u1o3rg-2 | 1331/1330 | [-1 0 -1 -1 3 0 0 -1⟩ | 1.3012 | Xenllium (2023) |
Aureusma | Nunusosoyo | 19uu17ooy1 | 1445/1444 | [-2 0 1 0 0 0 2 -2⟩ | 1.1985 | Flora Canou (2021) |
Pinkanberry | Nuthothogu | 19u3o3og1 | 1521/1520 | [-4 2 -1 0 0 2 0 -1⟩ | 1.1386 | Kaiveran (2021) |
Kevolisma | Nulozoyo | 19u1ozy1 | 1540/1539 | [2 -4 1 1 1 0 0 -1⟩ | 1.1245 | Xenllium (2023) |
Ramanujanisma | Nothozo | 19o3oz2 | 1729/1728 | [-6 -3 0 1 0 1 0 1⟩ | 1.0016 | Frédéric Gagné (2021) |
Heartlandisma | Nonoloruru | 19oo1orr1 | 3971/3969 | [0 -4 0 -2 1 0 0 2⟩ | 0.87216 | Xenllium (2023) |
Trichthonisma | Nulotrigu | 19u1og31 | 2376/2375 | [3 3 -3 0 1 0 0 -1⟩ | 0.72879 | Xenllium (2023) |
Crawma | Nuquadso-atrithu | 19u17o43u32 | 83521/83486 | [-1 0 0 0 0 -3 4 -1⟩ | 0.72564 | ground fault (2023) |
Blumeyer comma | Nosuthulu | 19o17u3u1u1 | 2432/2431 | [7 0 0 0 -1 -1 -1 1⟩ | 0.71200 | Douglas Blumeyer (2015) |
Neovulture comma, neovulturisma | Nothulozogugu | 19o3u1ozgg2 | 2926/2925 | [1 -2 -2 1 1 -1 0 1⟩ | 0.59177 | Xenllium (2023) |
Neomirkwai comma, neomirkwaisma | Nuluzozogu | 19u1uzzg2 | 3136/3135 | [6 -1 -1 2 -1 0 0 -1⟩ | 0.55214 | Xenllium (2023) |
Martebisma | Nunuthotriyo | 19uu3oy3-2 | 3250/3249 | [1 -2 3 0 0 1 0 -2⟩ | 0.53277 | Xenllium (2023) |
Neosatanisma | Nusuthuzoyoyo | 19u17u3uzyy-2 | 4200/4199 | [3 1 2 1 0 -1 -1 -1⟩ | 0.41225 | Xenllium (2023) |
Neovish comma, neovishma | Nonolurugugu | 19oo1urgg2 | 5776/5775 | [4 -1 -2 -1 -1 0 0 2⟩ | 0.29975 | Xenllium (2023) |
Neogrendel comma, neogrendelisma | Nosuluzoyo | 19o17u1uzy1 | 5985/5984 | [-5 2 1 1 -1 0 -1 1⟩ | 0.28929 | Xenllium (2023) |
BMO schismina | Sabinothu | s19oo3uu2 | 369664/369603 | [10 -7 0 0 0 -2 0 2⟩ | 0.28570 | |
Neonewt comma, neonewtisma | Nothotriru-ayoyo | 19o3or3yy-2 | 6175/6174 | [-1 -2 2 -3 0 1 0 1⟩ | 0.28038 | Xenllium (2023) |
Frouggie comma | Nusuquinthu-aquadlo | 19u17u3u51o4-3 | 119939072/119927639 | [13 0 0 0 4 -5 -1 -1⟩ | 0.16503 | |
Lakisma | Saquadnoso-agu | s19o417o4g5 | 10884540241/10883911680 | [-12 -12 -1 0 0 0 4 4⟩ | 0.09998 | +merlan #flirora (2021) |
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 | |
Devicisma | Nunusothutrilo-azogu | 19uu17o3u1o3zg1 | 633556/633555 | [2 -3 -1 1 3 -1 1 -2⟩ | 0.0027326 | Xenllium (2023) |
23-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Laodicisma | Twethuthotholu | 23u3oo1u1 | 507/506 | 2.3.11.13.23 [-1 1 -1 2 -1⟩ | 3.4180 | Xenllium (2023) |
Preziosisma | Bitwetho-alu | 23oo1u2 | 529/528 | 2.3.11.23 [-4 -1 -1 2⟩ | 3.2758 | Xenllium (2023) |
Worcester comma | Twethugugu | 23ugg1 | 576/575 | 2.3.5.23 [6 2 -2 -1⟩ | 3.0082 | Kaiveran (2023) |
Harvardisma | Twethorurugu | 23orrg1 | 736/735 | 2.3.5.7.23 [5 -1 -1 -2 1⟩ | 2.3538 | Xenllium (2023) |
Squadronisma | Twethunoluyo | 23u19o1uy1 | 760/759 | [3 -1 1 0 -1 0 0 1 -1⟩ | 2.2794 | Xenllium (2023) |
Nymphisma | Twethunuzotriyo | 23u19uzy3-2 | 875/874 | 2.5.7.19.23 [-1 3 1 -1 -1⟩ | 1.9797 | Xenllium (2023) |
Lysistratisma | Twethothoru | 23o3or1 | 897/896 | 2.3.7.13.23 [-7 1 -1 1 1⟩ | 1.9311 | Xenllium (2023) |
Fragarisma | Twethusothoyo | 23u17o3oy1 | 1105/1104 | [-4 -1 1 0 0 1 1 0 -1⟩ | 1.5674 | Xenllium (2023) |
Rhodesisma | Twethunothuzo | 23u19o3uz1 | 1197/1196 | [-2 2 0 1 0 -1 0 1 -1⟩ | 1.4469 | Xenllium (2023) |
Santisma | Twethothuluzo | 23o3u1uz2 | 1288/1287 | [3 -2 0 1 -1 -1 0 0 1⟩ | 1.3446 | Xenllium (2023) |
Turkisma | Twethusothulogu | 23u17o3u1og1 | 1496/1495 | [3 0 -1 0 1 -1 1 0 -1⟩ | 1.1576 | Xenllium (2023) |
Antinousisma | Twethonururu | 23o19urr-2 | 1863/1862 | 2.3.7.19.23 [-1 4 -2 -1 1⟩ | 0.92952 | Xenllium (2023) |
Kaifsma | Twethunosutholuzozogu | 23u19o17u3o1uzzg2 | 193648/193545 | [4 -2 -1 2 -1 1 -1 1 -1⟩ | 0.92108 | Kaiveran (2022) |
Insincere comma | Twethosusuloru | 23o17uu1or-2 | 2024/2023 | 2.7.11.17.23 [3 -1 1 -2 1⟩ | 0.85556 | Xenllium (2023) |
Fokkerisma | Latwethuluyoyo | L23u1uyy-2 | 2025/2024 | 2.3.5.11.23 [-3 4 2 -1 -1⟩ | 0.85514 | Xenllium (2023) |
Guangdongisma | Twethonothuruyo | 23o19o3ury1 | 2185/2184 | [-3 -1 1 -1 0 -1 0 1 1⟩ | 0.79251 | Xenllium (2023) |
Travellisma | Twethonubiluyo | 23o19u1uuyy1 | 2300/2299 | 2.5.11.19.23 [2 2 -2 -1 1⟩ | 0.75287 | Xenllium (2023) |
Biyativice comma | Bitwethuzo-agu | 23uuzzg1 | 2646/2645 | 2.3.5.7.23 [1 3 -1 2 -2⟩ | 0.65441 | Xenllium (2023) |
Kotkisma | Twethonusozo | 23o19u17oz2 | 2737/2736 | [-4 -2 0 1 0 0 1 -1 1⟩ | 0.63265 | Xenllium (2023) |
Higher-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Lily comma | 7936/7921 | 2.31.89 [8 1 -2⟩ | 3.27534 | Budjarn Lambeth (2023) | ||
Marmosarubra | Twenutwethonu | 29u23o19u1 | 552/551 | 2.3.19.23.29 [3 1 -1 1 -1⟩ | 3.13914 | Budjarn Lambeth (2023) |
Owowhatsthisma | Thiwutwethogu | 31u23og2 | 621/620 | 2.3.5.23.31 [-2 3 -1 1 -1⟩ | 2.79006 | HEHEHE I AM A SUPAHSTAR SAGA (2021) |
Minimyna | Thisunulo | 37u19u1o-2 | 704/703 | 2.11.19.37 [6 1 -1 -1⟩ | 2.46088 | Kaiveran (2023) |
Molar comma | 704969/704000 | 2.5.11.89 [-9 -3 -1 3⟩ | 2.38127 | Budjarn Lambeth (2023) | ||
Ancient Chinese tempering comma | 750/749 | 2.3.5.7.107 [1 1 3 -1 -1⟩ | 2.3099 | |||
Shaftesburisma | Bifowutweno | 41uu29oo2 | 1682/1681 | 2.29.41 [1 2 -2⟩ | 1.02958 | Budjarn Lambeth (2023) |
Misericorde | Thisuthulozoyoyo | 37u3u1ozyy-2 | 1925/1924 | 2.5.7.11.13.37 [-2 2 1 1 -1 -1⟩ | 0.89958 | Kaiveran (2023) |
Helevenisma | Bitwenosu-alo | 29oo17uu1o-2 | 9251/9248 | 2.11.17.29 [-5 1 -2 2⟩ | 0.56151 | Zhea Erose (2023) |
Yunzee comma | Lathiwuzozo | L31uzz2 | 3969/3968 | 2.3.7.31 [-7 4 2 -1⟩ | 0.43624 | Kaiveran (2021) |
Bullionisma | 5292/5291 | 2.3.7.11.13.37 [2 3 2 -1 -1 -1⟩ | 0.32717 | Eliora (2023) | ||
Pulsar comma | 101o1oz2 | 7777/7776 | 2.3.7.11.101 [-5 -5 1 1 1⟩ | 0.22262 | Eliora (2022) | |
Palimilli | 1003001o23o1u1 | 23069023/23068672 | 2.11.23.1003001 [-21 -1 1 1⟩ | 0.026341 | Kaiveran (2021) | |
Zudilisma | 68630377364883/68630356164608 | 2.3.7.23.397 [-30 29 -1 -1 -1⟩ | 0.00053479 | Budjarn Lambeth (2023) |
Notes
- ↑ The Helmholtz-Ellis JI Pitch Notation (HEJI) for undevicesimal schisma