Unnoticeable comma

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	50031545098999707/50000000000000000	[-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	9010162353515625/9007199254740992	[-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	450359962737049600/450283905890997363	[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
lux	Sasa-quinru-ayoyo	ssr5yy-2	26843545600/26795786661	[30 -13 2 -5⟩	3.0829
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
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
44-septimal comma	Nela-lequadzo	L19z448		[-263 88 0 44⟩	0.37996
akjaysma, 5\7 octave comma	Trisa-seprugu	s3r7g71	140737488355328/140710042265625	[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
11-cycle schisma, 37-11-comma	Quinsa-thiselu	s51u379		[128 0 0 0 -37⟩	1.2361
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
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	22876792454961/22866405883904	[-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	2541867610898/2541865828329	[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		4096/4095	[12 -2 -1 -1 0 -1⟩	0.42272
leprechaun comma	Thotholuyoyo		4225/4224	[-7 -1 2 0 -1 2⟩	0.40981
jacobin	Thotrilu-agu		6656/6655	[9 0 -1 0 -3 1⟩	0.26012
harmonisma	Thuthutrilo-aru		10648/10647	[3 -2 0 -1 3 -2⟩	0.16260
pentonisma	Saquinthuzogu		281974669312/281950621875	[24 -5 -5 5 0 -5⟩	0.14765
chalmersia	Lathotholurugugu		123201/123200	[-6 6 -2 -1 -1 2⟩	0.014052

17-limit commas

Name	Color name	Ratio	Monzo	Cents
september comma, septendecimal bridge comma	Sutholoruyo	715/714	[-1 -1 1 -1 1 1 -1⟩	2.4230
horizon comma	Sothuzozo	833/832	[-6 0 0 2 0 -1 1⟩	2.0796
ainos comma, ainma	Sutholugu	936/935	[3 2 -1 0 -1 1 -1⟩	1.8506
twosquare comma	Sulolo	1089/1088	[-6 2 0 0 2 0 -1⟩	1.5905
septendecimal quartertones comma	Sosolurugu	1156/1155	[2 -1 -1 -1 -1 0 2⟩	1.4983
noellisma	Suzozoyoyo	1225/1224	[-3 -2 2 2 0 0 -1⟩	1.4138
	Sothubiruyo	1275/1274	[-1 1 2 -2 0 -1 1⟩	1.3584
xenisma	Sululutrizo	2058/2057	[1 1 0 3 -2 0 -1⟩	0.84143
	Sothologu	2431/2430	[-1 -5 -1 0 1 1 1⟩	0.71230
septendecimal six-tones comma	Sosothugugu	2601/2600	[-3 2 -2 0 0 -1 2⟩	0.66573
chlorisma	Sutriru	5832/5831	[3 6 0 -3 0 0 -1⟩	0.29688
(18/17)11(16/15) comma	Lalesu-agu	171382426877952/171359481538165	[14 21 -1 0 0 0 -11⟩	0.23180
flashma	Sotholuzotrigu	12376/12375	[3 -2 -3 1 -1 1 1⟩	0.13989
sparkisma	Sululuruyoyo	14400/14399	[6 2 2 -1 -2 0 -1⟩	0.12023
scintillisma	Lasuthuluquadzo-agu	194481/194480	[-4 4 -1 4 -1 -1 -1⟩	0.0089018

19-limit commas

Name	Color name	Ratio	Monzo	Cents
undevicesimal comma, undevicesimal schisma, Boethius' comma, Hunt 19-minor mediant comma	Lano	513/512	[-9 3 0 0 0 0 0 1⟩	3.3780
password, Eratosthenes' comma	Sanogu	1216/1215	[6 -5 -1 0 0 0 0 1⟩	1.4243
aureusma	Nunusosoyo	1445/1444	[-2 0 1 0 0 0 2 -2⟩	1.1985
pinkanberry	Nuthothogu	1521/1520	[-4 2 -1 0 0 2 0 -1⟩	1.1386
ramanujanisma	Nothozo	1729/1728	[-6 -3 0 1 0 1 0 1⟩	1.0016
Blumeyer comma	Nosuthulu	2432/2431	[7 0 0 0 -1 -1 -1 1⟩	0.71200
BMO schismina	Sabinothu	369664/369603	[10 -7 0 0 0 -2 0 2⟩	0.28570
frouggie comma	Nusuquinthu-aquadlo	119939072/119927639	[13 0 0 0 4 -5 -1 -1⟩	0.16503
pollar comma	Nunusuquintho-alulu	742586/742577	[1 0 0 0 -2 5 -1 -2⟩	0.020982
decimillisma, 19-limit decimill	Nosorurutrigu	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	552/551	[3 1 0 0 0 0 0 -1 1 -1⟩	3.139138
owowhatsthisma	Thiwutwethogu	621/620	[-2 3 -1 0 0 0 0 0 1 0 -1⟩	2.79006
eroğluisma	Bifowutweno	1682/1681	[1 0 0 0 0 0 0 0 0 2 0 0 -2⟩	1.029577
yunzee comma	Lathiwuzozo	3969/3968	[-7 4 0 2 0 0 0 0 0 0 -1⟩	0.43624
palimilli	(1003001o23o1u)	23069023/23068672		0.026341