Unnoticeable comma: Difference between revisions
→17-limit commas: +person and year of naming |
→13-limit commas: +person and year of naming |
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! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! Denomination | |||
|- | |- | ||
| [[ | | [[Wilschisma]] | ||
| Sathoyo | | Sathoyo | ||
| s3oy2 | | s3oy2 | ||
Line 688: | Line 689: | ||
| {{monzo| 13 -12 1 0 0 1 }} | | {{monzo| 13 -12 1 0 0 1 }} | ||
| 3.3814 | | 3.3814 | ||
| [[Flora Canou]] (2021) | |||
|- | |- | ||
| | | Bean | ||
| Sathuquinlu | | Sathuquinlu | ||
| s3u1u<sup>5</sup>2 | | s3u1u<sup>5</sup>2 | ||
Line 695: | Line 697: | ||
| {{monzo| 21 0 0 0 -5 -1 }} | | {{monzo| 21 0 0 0 -5 -1 }} | ||
| 2.8826 | | 2.8826 | ||
| | |||
|- | |- | ||
| [[625/624| | | [[625/624|Tunbarsma]] | ||
| Thuquadyo | | Thuquadyo | ||
| 3uy<sup>4</sup>-2 | | 3uy<sup>4</sup>-2 | ||
Line 702: | Line 705: | ||
| {{monzo| -4 -1 4 0 0 -1 }} | | {{monzo| -4 -1 4 0 0 -1 }} | ||
| 2.7722 | | 2.7722 | ||
| | |||
|- | |- | ||
| [[676/675| | | [[676/675|Island comma]] | ||
| Bithogu | | Bithogu | ||
| 3oogg2 | | 3oogg2 | ||
Line 709: | Line 713: | ||
| {{monzo| 2 -3 -2 0 0 2 }} | | {{monzo| 2 -3 -2 0 0 2 }} | ||
| 2.5629 | | 2.5629 | ||
| | |||
|- | |- | ||
| [[729/728| | | [[729/728|Squbema]] | ||
| Lathuru | | Lathuru | ||
| L3ur-2 | | L3ur-2 | ||
Line 716: | Line 721: | ||
| {{monzo| -3 6 0 -1 0 -1 }} | | {{monzo| -3 6 0 -1 0 -1 }} | ||
| 2.3764 | | 2.3764 | ||
| | |||
|- | |- | ||
| [[2200/2197| | | [[2200/2197|Petrma]] | ||
| Trithu-aloyoyo | | Trithu-aloyoyo | ||
| 3u<sup>3</sup>1oyy-2 | | 3u<sup>3</sup>1oyy-2 | ||
Line 723: | Line 729: | ||
| {{monzo| 3 0 2 0 1 -3 }} | | {{monzo| 3 0 2 0 1 -3 }} | ||
| 2.3624 | | 2.3624 | ||
| | |||
|- | |- | ||
| [[1575/1573| | | [[1575/1573|Nicola]] | ||
| Thululuzoyoyo | | Thululuzoyoyo | ||
| 3u1uuzyy1 | | 3u1uuzyy1 | ||
Line 730: | Line 737: | ||
| {{monzo| 0 2 2 1 -2 -1 }} | | {{monzo| 0 2 2 1 -2 -1 }} | ||
| 2.1998 | | 2.1998 | ||
| | |||
|- | |- | ||
| [[1001/1000| | | [[1001/1000|Sinbadma]] | ||
| Tholozotrigu | | Tholozotrigu | ||
| 3o1ozg<sup>3</sup>2 | | 3o1ozg<sup>3</sup>2 | ||
Line 737: | Line 745: | ||
| {{monzo| -3 0 -3 1 1 1 }} | | {{monzo| -3 0 -3 1 1 1 }} | ||
| 1.7303 | | 1.7303 | ||
| | |||
|- | |- | ||
| [[ | | [[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 | ||
Line 744: | Line 753: | ||
| {{monzo| -5 0 1 -3 0 3 }} | | {{monzo| -5 0 1 -3 0 3 }} | ||
| 1.4190 | | 1.4190 | ||
| | |||
|- | |- | ||
| | | Lummic comma | ||
| Tholotriru-agu | | Tholotriru-agu | ||
| 3o1or<sup>3</sup>g-2 | | 3o1or<sup>3</sup>g-2 | ||
Line 751: | Line 761: | ||
| {{monzo| 2 1 -1 -3 1 1 }} | | {{monzo| 2 1 -1 -3 1 1 }} | ||
| 1.0092 | | 1.0092 | ||
| | |||
|- | |- | ||
| [[2080/2079| | | [[2080/2079|Ibnsinma]] | ||
| Tholuruyo | | Tholuruyo | ||
| 3o1ury1 | | 3o1ury1 | ||
Line 758: | Line 769: | ||
| {{monzo| 5 -3 1 -1 -1 1 }} | | {{monzo| 5 -3 1 -1 -1 1 }} | ||
| 0.83252 | | 0.83252 | ||
| [[Margo Schulter]] (2012) | |||
|- | |- | ||
| [[ | | [[Phaotic comma]], phaotisma | ||
| Sathotriyo | | Sathotriyo | ||
| s3uy<sup>3</sup>1 | | s3uy<sup>3</sup>1 | ||
Line 765: | Line 777: | ||
| {{monzo| 11 -9 3 0 0 -1 }} | | {{monzo| 11 -9 3 0 0 -1 }} | ||
| 0.81847 | | 0.81847 | ||
| [[Aura]] (2021) | |||
|- | |- | ||
| [[4096/4095| | | [[4096/4095|Schismina]] | ||
| Sathurugu | | Sathurugu | ||
| s3urg1 | | s3urg1 | ||
Line 772: | Line 785: | ||
| {{monzo| 12 -2 -1 -1 0 -1 }} | | {{monzo| 12 -2 -1 -1 0 -1 }} | ||
| 0.42272 | | 0.42272 | ||
| | |||
|- | |- | ||
| | | [[4225/4224|Leprechaun comma]] | ||
| Thotholuyoyo | | Thotholuyoyo | ||
| 3oo1uyy1 | | 3oo1uyy1 | ||
Line 779: | Line 793: | ||
| {{monzo| -7 -1 2 0 -1 2 }} | | {{monzo| -7 -1 2 0 -1 2 }} | ||
| 0.40981 | | 0.40981 | ||
| [[Margo Schulter]] (2012) | |||
|- | |- | ||
| [[6656/6655| | | [[6656/6655|Jacobin comma]] | ||
| Thotrilu-agu | | Thotrilu-agu | ||
| 3o1u<sup>3</sup>g2 | | 3o1u<sup>3</sup>g2 | ||
Line 786: | Line 801: | ||
| {{monzo| 9 0 -1 0 -3 1 }} | | {{monzo| 9 0 -1 0 -3 1 }} | ||
| 0.26012 | | 0.26012 | ||
| | |||
|- | |- | ||
| [[10648/10647| | | [[10648/10647|Harmonisma]] | ||
| Thuthutrilo-aru | | Thuthutrilo-aru | ||
| 3uu1o<sup>3</sup>r-2 | | 3uu1o<sup>3</sup>r-2 | ||
Line 793: | Line 809: | ||
| {{monzo| 3 -2 0 -1 3 -2 }} | | {{monzo| 3 -2 0 -1 3 -2 }} | ||
| 0.16260 | | 0.16260 | ||
| [[Margo Schulter]] (2002) | |||
|- | |- | ||
| [[ | | [[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 | ||
Line 800: | Line 817: | ||
| {{monzo| 24 -5 -5 5 0 -5 }} | | {{monzo| 24 -5 -5 5 0 -5 }} | ||
| 0.14765 | | 0.14765 | ||
| [[User:Xenllium|Xenllium]] (2022) | |||
|- | |- | ||
| [[ | | [[Chalmersia]] | ||
| Lathotholurugugu | | Lathotholurugugu | ||
| L3oo1urgg1 | | L3oo1urgg1 | ||
Line 807: | Line 825: | ||
| {{monzo| -6 6 -2 -1 -1 2 }} | | {{monzo| -6 6 -2 -1 -1 2 }} | ||
| 0.014052 | | 0.014052 | ||
| [[Gene Ward Smith]] (2003) | |||
|} | |} | ||
Revision as of 11:00, 10 May 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 | |
---|---|---|---|---|
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 |
archangelic comma | Wa-190537 comma | w-190537 | [301994 -190537⟩ | 0.000112 |
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 |
pessoalisma | 2147483648/2144153025 | [31 -6 -2 -6⟩ | 2.6871 | ||
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 | 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(s) | Color Name | Ratio | Monzo | Cents | Denomination | |
---|---|---|---|---|---|---|
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 | |
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 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 | |
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) | |
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 | Denomination | |
---|---|---|---|---|---|---|
Dakotisma | 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) |
Ainos comma, ainma | Sutholugu | 17u3o1ug1 | 936/935 | [3 2 -1 0 -1 1 -1⟩ | 1.8506 | Aura (2020) |
Fidesma | 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) |
Palingenetic comma, palingenesis | 1701/1700 | [-2 5 -2 1 0 0 -1⟩ | 1.0181 | Aura (2021) | ||
Xenisma | Sululutrizo | 17u1uuz32 | 2058/2057 | [1 1 0 3 -2 0 -1⟩ | 0.84143 | Margo Schulter (2012) |
Cyclops comma | 11016/11011 | [3 4 0 -1 -2 -1 1⟩ | 0.78596 | Eliora (2022) | ||
Sperasma | 2500/2499 | [2 -1 4 -2 0 0 -1⟩ | 0.69263 | Aura (2023) | ||
Sextantonisma | Sosothugugu | 17oo3ugg2 | 2601/2600 | [-3 2 -2 0 0 -1 2⟩ | 0.66573 | Flora Canou (2023) |
Chlorisma | Sutriru | 17ur3-3 | 5832/5831 | [3 6 0 -3 0 0 -1⟩ | 0.29688 | Jerdle (2021) |
(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 | Kaiveran (2016) |
Sparkisma | Sululuruyoyo | 17u1uuryy-2 | 14400/14399 | [6 2 2 -1 -2 0 -1⟩ | 0.12023 | Kaiveran (2016) |
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 | Denomination | |
---|---|---|---|---|---|---|
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] |
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 | Flora Canou (2021) |
Pinkanberry | Nuthothogu | 19u3o3og1 | 1521/1520 | [-4 2 -1 0 0 2 0 -1⟩ | 1.1386 | Kaiveran (2021) |
Ramanujanisma | Nothozo | 19o3oz2 | 1729/1728 | [-6 -3 0 1 0 1 0 1⟩ | 1.0016 | Frédéric Gagné (2021) |
Blumeyer comma | Nosuthulu | 19o17u3u1u1 | 2432/2431 | [7 0 0 0 -1 -1 -1 1⟩ | 0.71200 | Douglas Blumeyer (2015) |
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 |
23-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Denomination | |
---|---|---|---|---|---|---|
Worcester comma | Twethugugu | 23ugg1 | 576/575 | [6 2 -2 0 0 0 0 0 -1⟩ | 3.00823 | Kaiveran (2023) |
Kaifsma | Twethunosutholuzozogu | 23u19o17u3o1uzzg2 | 193648/193545 | [4 -2 -1 2 -1 1 -1 1 -1⟩ | 0.92108 | Kaiveran (2022) |
Higher-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Denomination | |
---|---|---|---|---|---|---|
Cmloegcmluinisma (/ˈʃmlɛg.ʃmlɪ.nɪs.mə/) | Twenutwethonu | 29u23o19u1 | 552/551 | 2.3.19.23.29 [3 1 -1 1 -1⟩ | 3.13914 | Douglas Blumeyer (2021) |
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) |
Eroğluisma | Bifowutweno | 41uu29oo2 | 1682/1681 | 2.29.41 [1 2 -2⟩ | 1.02958 | Douglas Blumeyer (2021) |
Misericorde | Thisuthulozoyoyo | 37u3u1ozyy-2 | 1925/1924 | 2.5.7.11.13.37 [-2 2 1 1 -1 -1⟩ | 0.89958 | Kaiveran (2023) |
Yunzee comma | Lathiwuzozo | L31uzz2 | 3969/3968 | 2.3.7.31 [-7 4 2 -1⟩ | 0.43624 | Kaiveran (2021) |
Pulsar comma | 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) |
Notes
- ↑ The Helmholtz-Ellis JI Pitch Notation (HEJI) for undevicesimal schisma