Unnoticeable comma: Difference between revisions

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→3-limit commas: +person and year of naming
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Line 643: Line 643:
| {{Monzo| -16 -3 0 0 6 }}
| {{Monzo| -16 -3 0 0 6 }}
| 2.0427
| 2.0427
| Aura (2020)
| [[Aura]] (2020)
|-
|-
| [[Tinge]]
| [[Tinge]]
Line 723: Line 723:
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
| 0.17665
| 0.17665
|  
| [[Margo Schulter]] (2000)
|-
|-
| Odiheim
| Odiheim
Line 780: Line 780:
| s3oy2
| s3oy2
| 532480/531441
| 532480/531441
| {{monzo| 13 -12 1 0 0 1 }}
| {{Monzo| 13 -12 1 0 0 1 }}
| 3.3814
| 3.3814
| [[Flora Canou]] (2021)
| [[Flora Canou]] (2021)
Line 788: Line 788:
| 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 }}
| 2.8826
| 2.8826
|  
|  
Line 796: Line 796:
| 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 }}
| 2.7722
| 2.7722
|  
|  
Line 804: Line 804:
| 3oogg2
| 3oogg2
| 676/675
| 676/675
| {{monzo| 2 -3 -2 0 0 2 }}
| {{Monzo| 2 -3 -2 0 0 2 }}
| 2.5629
| 2.5629
|  
|  
Line 812: Line 812:
| L3ur-2
| L3ur-2
| 729/728
| 729/728
| {{monzo| -3 6 0 -1 0 -1 }}
| {{Monzo| -3 6 0 -1 0 -1 }}
| 2.3764
| 2.3764
|  
|  
Line 820: Line 820:
| 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 }}
| 2.3624
| 2.3624
|  
|  
Line 828: Line 828:
| 3u1uuzyy1
| 3u1uuzyy1
| 1575/1573
| 1575/1573
| {{monzo| 0 2 2 1 -2 -1 }}
| {{Monzo| 0 2 2 1 -2 -1 }}
| 2.1998
| 2.1998
|  
|  
Line 836: Line 836:
| 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 }}
| 1.7303
| 1.7303
|  
|  
Line 844: Line 844:
| 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 }}
| 1.4190
| 1.4190
|  
|  
Line 852: Line 852:
| 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 }}
| 1.0092
| 1.0092
|  
|  
Line 860: Line 860:
| 3o1ury1
| 3o1ury1
| 2080/2079
| 2080/2079
| {{monzo| 5 -3 1 -1 -1 1 }}
| {{Monzo| 5 -3 1 -1 -1 1 }}
| 0.83252
| 0.83252
| [[Margo Schulter]] (2012)
| [[Margo Schulter]] (2012)
Line 868: Line 868:
| 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 }}
| 0.81847
| 0.81847
| [[Aura]] (2021)
| [[Aura]] (2021)
Line 876: Line 876:
| s3urg1
| s3urg1
| 4096/4095
| 4096/4095
| {{monzo| 12 -2 -1 -1 0 -1 }}
| {{Monzo| 12 -2 -1 -1 0 -1 }}
| 0.42272
| 0.42272
|  
|  
Line 884: Line 884:
| 3oo1uyy1
| 3oo1uyy1
| 4225/4224
| 4225/4224
| {{monzo| -7 -1 2 0 -1 2 }}
| {{Monzo| -7 -1 2 0 -1 2 }}
| 0.40981
| 0.40981
| [[Margo Schulter]] (2012)
| [[Margo Schulter]] (2012)
Line 892: Line 892:
| 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 }}
| 0.26012
| 0.26012
|  
|  
Line 900: Line 900:
| 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 }}
| 0.16260
| 0.16260
| [[Margo Schulter]] (2002)
| [[Margo Schulter]] (2002)
Line 908: Line 908:
| 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 }}
| 0.14765
| 0.14765
| [[User:Xenllium|Xenllium]] (2022)
| [[User:Xenllium|Xenllium]] (2022)
Line 916: Line 916:
| L3oo1urgg1
| L3oo1urgg1
| 123201/123200
| 123201/123200
| {{monzo| -6 6 -2 -1 -1 2 }}
| {{Monzo| -6 6 -2 -1 -1 2 }}
| 0.014052
| 0.014052
| [[Gene Ward Smith]] (2003)
| [[Gene Ward Smith]] (2003)
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|  
|  
| 595/594
| 595/594
| {{monzo| -1 -3 1 1 -1 0 1 }}
| {{Monzo| -1 -3 1 1 -1 0 1 }}
| 2.9121
| 2.9121
| [[Praveen Venkataramana]] (2022)
| [[Praveen Venkataramana]] (2022)
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| 17u3o1ory-2
| 17u3o1ory-2
| 715/714
| 715/714
| {{monzo| -1 -1 1 -1 1 1 -1 }}
| {{Monzo| -1 -1 1 -1 1 1 -1 }}
| 2.4230
| 2.4230
| [[Scott Dakota]] (2021)
| [[Scott Dakota]] (2021)
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| 17o3uzz2
| 17o3uzz2
| 833/832
| 833/832
| {{monzo| -6 0 0 2 0 -1 1 }}
| {{Monzo| -6 0 0 2 0 -1 1 }}
| 2.0796
| 2.0796
| [[User:Jerdle|Jerdle]] (2021)
| [[User:Jerdle|Jerdle]] (2021)
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| 17u3o1ug1
| 17u3o1ug1
| 936/935
| 936/935
| {{monzo| 3 2 -1 0 -1 1 -1 }}
| {{Monzo| 3 2 -1 0 -1 1 -1 }}
| 1.8506
| 1.8506
| [[Aura]] (2020)
| [[Aura]] (2020)
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|  
|  
| 2025/2023
| 2025/2023
| {{monzo| 0 4 2 -1 0 0 -2 }}
| {{Monzo| 0 4 2 -1 0 0 -2 }}
| 1.7107
| 1.7107
| [[Aura]] (2023)
| [[Aura]] (2023)
Line 975: Line 975:
| 17u1oo-2
| 17u1oo-2
| 1089/1088
| 1089/1088
| {{monzo| -6 2 0 0 2 0 -1 }}
| {{Monzo| -6 2 0 0 2 0 -1 }}
| 1.5905
| 1.5905
| [[User:Kaiveran|Kaiveran]] (2018)
| [[User:Kaiveran|Kaiveran]] (2018)
Line 983: Line 983:
| 17oo1urg2
| 17oo1urg2
| 1156/1155
| 1156/1155
| {{monzo| 2 -1 -1 -1 -1 0 2 }}
| {{Monzo| 2 -1 -1 -1 -1 0 2 }}
| 1.4983
| 1.4983
| [[Flora Canou]] (2023)
| [[Flora Canou]] (2023)
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| 17uzzyy1
| 17uzzyy1
| 1225/1224
| 1225/1224
| {{monzo| -3 -2 2 2 0 0 -1 }}
| {{Monzo| -3 -2 2 2 0 0 -1 }}
| 1.4138
| 1.4138
| [[Flora Canou]] (2022)
| [[Flora Canou]] (2022)
Line 1,000: Line 1,000:
| 17o3urryy-2
| 17o3urryy-2
| 1275/1274
| 1275/1274
| {{monzo| -1 1 2 -2 0 -1 1 }}
| {{Monzo| -1 1 2 -2 0 -1 1 }}
| 1.3584
| 1.3584
-->
-->
Line 1,008: Line 1,008:
|  
|  
| 1701/1700
| 1701/1700
| {{monzo| -2 5 -2 1 0 0 -1 }}
| {{Monzo| -2 5 -2 1 0 0 -1 }}
| 1.0181
| 1.0181
| [[Aura]] (2021)
| [[Aura]] (2021)
Line 1,016: Line 1,016:
| 17u1uuz<sup>3</sup>2
| 17u1uuz<sup>3</sup>2
| 2058/2057
| 2058/2057
| {{monzo| 1 1 0 3 -2 0 -1 }}
| {{Monzo| 1 1 0 3 -2 0 -1 }}
| 0.84143
| 0.84143
| [[Margo Schulter]] (2012)
| [[Margo Schulter]] (2000)
|-
|-
| [[11016/11011|Cyclops comma]]
| [[11016/11011|Cyclops comma]]
Line 1,024: Line 1,024:
|  
|  
| 11016/11011
| 11016/11011
| {{monzo| 3 4 0 -1 -2 -1 1 }}
| {{Monzo| 3 4 0 -1 -2 -1 1 }}
| 0.78596
| 0.78596
| [[Eliora]] (2022)
| [[Eliora]] (2022)
Line 1,033: Line 1,033:
| 17o3o1og2
| 17o3o1og2
| 2431/2430
| 2431/2430
| {{monzo| -1 -5 -1 0 1 1 1 }}
| {{Monzo| -1 -5 -1 0 1 1 1 }}
| 0.71230
| 0.71230
-->
-->
Line 1,041: Line 1,041:
|  
|  
| 2500/2499
| 2500/2499
| {{monzo| 2 -1 4 -2 0 0 -1 }}
| {{Monzo| 2 -1 4 -2 0 0 -1 }}
| 0.69263
| 0.69263
| [[Aura]] (2023)
| [[Aura]] (2023)
Line 1,049: Line 1,049:
| 17oo3ugg2
| 17oo3ugg2
| 2601/2600
| 2601/2600
| {{monzo| -3 2 -2 0 0 -1 2 }}
| {{Monzo| -3 2 -2 0 0 -1 2 }}
| 0.66573
| 0.66573
| [[Flora Canou]] (2023)
| [[Flora Canou]] (2023)
Line 1,057: Line 1,057:
| 17ur<sup>3</sup>-3
| 17ur<sup>3</sup>-3
| 5832/5831
| 5832/5831
| {{monzo| 3 6 0 -3 0 0 -1 }}
| {{Monzo| 3 6 0 -3 0 0 -1 }}
| 0.29688
| 0.29688
| [[User:Jerdle|Jerdle]] (2021)
| [[User:Jerdle|Jerdle]] (2021)
Line 1,065: Line 1,065:
| L17u<sup>11</sup>g-7
| L17u<sup>11</sup>g-7
|  
|  
| {{monzo| 14 21 -1 0 0 0 -11 }}
| {{Monzo| 14 21 -1 0 0 0 -11 }}
| 0.23180
| 0.23180
|  
|  
Line 1,073: Line 1,073:
| 17o3o1uzg<sup>3</sup>3
| 17o3o1uzg<sup>3</sup>3
| 12376/12375
| 12376/12375
| {{monzo| 3 -2 -3 1 -1 1 1 }}
| {{Monzo| 3 -2 -3 1 -1 1 1 }}
| 0.13989
| 0.13989
| [[User:Kaiveran|Kaiveran]] (2016)
| [[User:Kaiveran|Kaiveran]] (2016)
Line 1,081: Line 1,081:
| 17u1uuryy-2
| 17u1uuryy-2
| 14400/14399
| 14400/14399
| {{monzo| 6 2 2 -1 -2 0 -1 }}
| {{Monzo| 6 2 2 -1 -2 0 -1 }}
| 0.12023
| 0.12023
| [[User:Kaiveran|Kaiveran]] (2016)
| [[User:Kaiveran|Kaiveran]] (2016)
Line 1,089: Line 1,089:
| L17u3u1uz<sup>4</sup>g2
| L17u3u1uz<sup>4</sup>g2
| 194481/194480
| 194481/194480
| {{monzo| -4 4 -1 4 -1 -1 -1 }}
| {{Monzo| -4 4 -1 4 -1 -1 -1 }}
| 0.0089018
| 0.0089018
| [[Margo Schulter]] (2012)
| [[Margo Schulter]] (2012)

Revision as of 12:04, 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

See also: Table of 3-limit commas
Name(s) Color Name Monzo Cents Denomination
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 Aura (2022)

5-limit commas

See also: Table of 5-limit commas
Name(s) Color Name Ratio Monzo Cents Denomination
Dodifo comma Quadla-sepquinyo L4y35-9 [-67 -9 35⟩ 3.3850
Vishnuzma, semisuper comma 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
Luna comma, hemithirds comma 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 comma Tribisa-thiwegu s6g3110 [91 -12 -31⟩ 0.81486
Gaster 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 Margo Schulter (2001)
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 Denomination
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 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 Lazoquinyo Lzy5-2 65625/65536 [-16 1 5 1⟩ 2.3495
Forge comma 1640558367/163840000 [-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
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
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
quinla-zoyoyo (12&53&612) Quinla-zoyoyo L5zzy-4 [-55 30 2 1⟩ 0.10336
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 Denomination
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 Aura (2020)
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⟩ 2.0427 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 [-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
Quartisma Saquinlu-azo s1u5z3 117440512/117406179 [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
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 (2000)
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

  1. ↑ The Helmholtz-Ellis JI Pitch Notation (HEJI) for undevicesimal schisma
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