Small comma

A small comma is a comma whose size is approximately between 3.5 and 30 cents. These intervals are in the range from just noticeable up to usable as melodic steps. The actual perception of course varies.

For commas over 100 cents in size, see Large commas; for commas in between 30 and 100 cents in size, see Medium commas; and for commas under 3.5 cents in size, see Unnoticeable commas

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.

List of commas, by prime limit

3-limit commas

Name(s)	Color Name		Ratio	Monzo	Cents
241-comma	Wa-241	w-241		[382 -241⟩	28.845
65-comma, Pythagorean septimal comma	Wa-65	w-65		[-103 65⟩	27.075
Pythagorean comma	Lalawa	LLw-2	531441 / 524288	[-19 12⟩	23.460
41-comma, counterpyth comma	Wa-41	w-41	36893488147419103232 / 36472996377170786403	[65 -41⟩	19.845
94-comma, garistearn comma	Wa-94	w-94		[149 -94⟩	16.230
147-comma	Wa-147	w-147		[233 -147⟩	12.615
200-comma, Pythagorean integer-cent ET comma	Wa-200	w-200		[317 -200⟩	8.9998
253-comma	Wa-253	w-253		[401 -253⟩	5.3848
Mercator's comma, 53-comma	Wa-53	w-53	19383245667680019896796723 / 19342813113834066795298816	[-84 53⟩	3.6150

5-limit commas

Name(s)	Color Name		Ratio	Monzo	Cents
small diesis, magic comma	Laquinyo	Ly5-2	3125/3072	[-10 -1 5⟩	29.614
11-15-comma, hendecatonic comma	Trisa-legu	s3g115	8796093022208 / 8649755859375	[43 -11 -11⟩	29.044
minimal diesis, tetracot comma	Saquadyo	sy41	20000 / 19683	[5 -9 4⟩	27.660
semaja	Lalaneyo	LLy19-5	19073486328125 / 18786186952704	[-33 -7 19⟩	26.276
quanic comma	Sepsa-quinyo	s7y55		[74 -54 5⟩	25.999
roda	Sasa-triyo	ssy32	131072000 / 129140163	[20 -17 3⟩	25.706
trisedodge comma	Saquintrigu	sg154	30958682112 / 30517578125	[19 10 -15⟩	24.844
maja	Saseyo	sy17-3	762939453125 / 753145430616	[-3 -23 17⟩	22.368
satin comma	Quinbisa-triyo	s10y37		[104 -70 3⟩	22.091
misneb	Quadla-quintriyo	L4y15-6		[-57 14 15⟩	22.076
syntonic / Didymus / meantone comma	Gu	g1	81/80	[-4 4 -1⟩	21.506
maquila comma	Trisa-segu	s3g176	562949953421312 / 556182861328125	[49 -6 -17⟩	20.937
sfourth comma	Lala-negu	LLg193	617673396283947 / 610351562500000	[-5 31 -19⟩	20.644
diaschisma	Sagugu	sgg2	2048/2025	[11 -4 -2⟩	19.553
countermeantone comma	Quinquadgu	g204	96402615118848 / 95367431640625	[10 23 -20⟩	18.691
ditonma	Lala-theyo	LLy13-4	1220703125 / 1207959552	[-27 -2 13⟩	18.168
misty comma	Sasa-trigu	ssg33	67108864 / 66430125	[26 -12 -3⟩	17.599
pental comma	Trila-quingu	L3g5-2	847288609443 / 838860800000	[-28 25 -5⟩	17.306
undim comma	Trisa-quadgu	s3g44	2199023255552 / 2179240250625	[41 -20 -4⟩	15.645
graviton, gravity comma	Lala-tribigu	LLg61	129140163 / 128000000	[-13 17 -6⟩	15.353
majvam	Sasa-lebigu	ssg226		[40 7 -22⟩	14.783
quartonic	Saleyo	sy11-2	390625000 / 387420489	[3 -18 11⟩	14.261
untritonic comma	Quadla-tritriyo	L4y9-5		[-51 19 9⟩	13.968
quindromeda	Quinsa-quingu	s5g55		[56 -28 -5⟩	13.691
medium semicomma, sensipent comma	Sepgu	g72	78732 / 78125	[2 9 -7⟩	13.399
tertiosec comma	Laquadtribiyo	L6y24-9		[-89 21 24⟩	12.584
Würschmidt comma	Saquadbigu	sg83	393216 / 390625	[17 1 -8⟩	11.445
commatic comma	Quadla-quinbigu	L4g10-2		[-37 38 -10⟩	11.153
counterhanson comma	Quinquinyo	y25-5		[-20 -24 25⟩	10.923
countriton comma	Quadsa-tritriyo	s4y92	16777216000000000 / 16677181699666569	[33 -34 9⟩	10.353
semicomma, Fokker comma	Lasepyo	Ly7-3	2109375 / 2097152	[-21 3 7⟩	10.061
escapade comma	Sasa-tritrigu	ssg94	4294967296 / 4271484375	[32 -7 -9⟩	9.4916
kleisma, semicomma majeur	Tribiyo	y6-2	15625 / 15552	[-6 -5 6⟩	8.1073
qintosec comma	Quadsa-quinbigu	s4g105	140737488355328 / 140126044921875	[47 -15 -10⟩	7.5378
59-5-comma				[137 0 -59⟩	7.4909
unidecma	Laquadtrigu	Lg122	31381059609 / 31250000000	[-7 22 -12⟩	7.2455
mutt comma	Trila-septriyo	L3y21-6	476837158203125 / 474989023199232	[-44 -3 21⟩	6.7230
amity comma	Saquinyo	sy51	1600000 / 1594323	[9 -13 5⟩	6.1536
parakleisma	Thegu	g133	1224440064 / 1220703125	[8 14 -13⟩	5.2917
gammic comma	Laquinquadyo	Ly20-5	95367431640625 / 95105071448064	[-29 -11 20⟩	4.7693
squarschmidt comma	Quadsa-twenegu	s4g298		[61 4 -29⟩	4.7223
Huntian 15-cycle comma	Quadtrisa-fothegu	s12g4316		[168 -43 -43⟩	4.4453
56-syntonic comma	Quadtribila-sepquadbigu	L24g56-8		[-225 224 -56⟩	4.3522
vulture comma	Sasa-quadyo	ssy42	10485760000 / 10460353203	[24 -21 4⟩	4.1998
lafa comma	Tribisa-quadtrigu	s6g127		[77 -31 -12⟩	3.6304

7-limit commas

Name(s)	Color Name		Ratio	Monzo	Cents
schismean	Laruyo	Lry-2	3645 / 3584	[-9 6 1 -1⟩	29.218
senga	Trizo-agugu	z3gg3	686 / 675	[1 -3 -2 3⟩	27.985
23-21-comma	Sepla-twethezo	L7z237		[-101 23 0 23⟩	27.961
septimal comma, Archytas' comma, Leipziger Komma	Ru	r1	64 / 63	[6 -2 0 -1⟩	27.264
mandos	Birugugu	rrg41	31104 / 30625	[7 5 -4 -2⟩	26.868
slither	Satritriru-aquadyo	sr9y4-5	40960000 / 40353607	[16 0 4 -9⟩	25.822
33-7/5-comma	Letrizogu	z33g3321		[-16 0 -33 33⟩	22.902
Huntian 35-cycle comma	Quintrisa-tritritribirugu	s15r54g54-6		[277 0 -54 -54⟩	22.461
blackjackisma	Lasepru-aquadbiyo	Lr7y8-6	854296875 / 843308032	[-10 7 8 -7⟩	22.413
squalentine	Laquadzo-atrigu	Lz4g33	64827 / 64000	[-9 3 -3 4⟩	22.227
keema	Zotriyo	zy31	875 / 864	[-5 -3 3 1⟩	21.902
betelgeuse	Satritrizo-agugu	sz9gg6	40353607/39858075	[0 -13 -2 9⟩	21.391
gariboh	Triru-aquinyo	r3y5-3	3125 / 3087	[0 -2 5 -3⟩	21.181
secanticornisma	Laruquingu	Lrg51	177147/175000	[-3 11 -5 -1⟩	21.111
nuwell	Quadru-ayo	r4y-3	2430 / 2401	[1 5 1 -4⟩	20.785
mermisma	Sepruyo	r7y7-5	2500000 / 2470629	[5 -1 7 -7⟩	20.460
negricorn, small quadruple bluish	Saquadzogu	sz4g44	153664 / 151875	[6 -5 -4 4⟩	20.274
tolerma	Sazoyoyo	szyy2	179200 / 177147	[10 -11 2 1⟩	19.948
25-36/35-comma, icosipentatonic comma	Quinquinrugu	r25g25-8		[49 50 -25 -25⟩	19.260
valenwuer	Sarutribigu	srg61	110592/109375	[12 3 -6 -1⟩	19.157
buzzardisma	Saquadru	sr4-2	65536 / 64827	[16 -3 0 -4⟩	18.831
Huntian 21-cycle comma	Quadbisa-sepquadru	s8r28-8		[123 -28 0 -28⟩	18.135
mirwomo	Labizoyo	Lzzyy1	33075 / 32768	[-15 3 2 2⟩	16.144
catasyc	Laruquadbiyo	Lry8-3	390625 / 387072	[-11 -3 8 -1⟩	15.819
compass comma	Quinruyoyo	r5y10-5	9765625 / 9680832	[-6 -2 10 -5⟩	15.098
trimyna	Quinzogu	z5g54	50421 / 50000	[-4 1 -5 5⟩	14.516
sensamagic	Zozoyo	zzy2	245 / 243	[0 -5 1 2⟩	14.191
septimal semicomma, starling comma	Zotrigu	zg32	126 / 125	[1 2 -3 1⟩	13.795
slendro 34-comma	Quinla-sequadzo	L5z6828		[-137 -34 0 68⟩	13.692
octagar	Rurutriyo	rry3-2	4000 / 3969	[5 -4 3 -2⟩	13.469
orwellisma, orwell comma	Triru-agu	r3g-2	1728 / 1715	[6 3 -1 -3⟩	13.074
mynaslender comma	Sepru-ayo	r7y-4	829440 / 823543	[11 4 1 -7⟩	12.352
35-7/5-comma	Sepquinruyo	r35y35-22		[17 0 35 -35⟩	12.073
chromatisma	Trisa-triru-aquadquadyo	s3r3y16-3	640000000000000000 / 635585924776181463	[22 -32 16 -3⟩	11.982
mistisma	Sazoquadgu	szg43	458752 / 455625	[16 -6 -4 1⟩	11.841
34-jubilismic comma	Sequadzogu	z68g6842		[-33 0 -68 68⟩	10.829
Hunt 7-cycle comma	Quadsa-thebiru	s4r26-10		[73 0 0 -26⟩	10.526
septiness comma	Sasasepru	ssr7-3	67108864 / 66706983	[26 -4 0 -7⟩	10.399
31-35-comma	Tritrila-thiwezoyo	L9z31y314		[-159 0 31 31⟩	9.3282
quince	Lasepzo-agugu	Lz7gg4	823543 / 819200	[-15 0 -2 7⟩	9.1539
gamelisma	Latrizo	Lz32	1029 / 1024	[-10 1 0 3⟩	8.4327
varunisma	Labizogugu	Lzzg42	321489 / 320000	[-9 8 -4 2⟩	8.0370
septimal kleisma, marvel comma	Ruyoyo	ryy-2	225 / 224	[-5 2 2 -1⟩	7.7115
dimcomp	Quadruyoyo	r4y8-4	390625 / 388962	[-1 -4 8 -4⟩	7.3861
cataharry	Labirugu	Lrrgg-2	19683 / 19600	[-4 9 -2 -2⟩	7.3158
procyon comma	Sasepzo-atrigu	sz7g35	823543 / 820125	[0 -8 -3 7⟩	7.2002
mirkwai	Quinru-aquadyo	r5y4-4	16875 / 16807	[0 3 4 -5⟩	6.9903
canousma	Saquadzo-atriyo	sz4y33	4802000 / 4782969	[4 -14 3 4⟩	6.8748
triwellisma	Tribizo-asepgu	z6g75	235298 / 234375	[1 -1 -7 6⟩	6.8044
stearnsma	Latribiru	Lr6-4	118098 / 117649	[1 10 0 -6⟩	6.5946
hemimage	Satrizo-agu	sz3g3	10976 / 10935	[5 -7 -1 3⟩	6.4790
hemimean	Zozoquingu	zzg53	3136 / 3125	[6 0 -5 2⟩	6.0832
hemifamity, 5/7-kleisma	Saruyo	sry1	5120 / 5103	[10 -6 1 -1⟩	5.7578
parkleiness	Zotritrigu	zg93	1959552 / 1953125	[7 7 -9 1⟩	5.6875
linus comma	Saquinbizogu	sz10g108	578509309952 / 576650390625	[11 -10 -10 10⟩	5.5719
reiwa comma	Saquadru-asepyo	sr4y7-3	1280000000 / 1275989841	[14 -12 7 -4⟩	5.4324
porwell	Sarurutrigu	srrg31	6144 / 6125	[11 1 -3 -2⟩	5.3620
hemfiness comma	Saquadru-atriyo	sr4y3-3	4096000 / 4084101	[15 -5 3 -5⟩	5.0366
acrodec comma	Sasa-tribizo-aquadbigu	ssz6g86	7710244864 / 7688671875	[16 -9 -8 6⟩	4.8507
hewuermera	Satribiru-agu	sr6g-3	589824 / 588245	[16 2 -1 -6⟩	4.6408
lokisma, loki comma	Sasa-bizotrigu	sszzg64	102760448 / 102515625	[21 -8 -6 2⟩	4.1295
garischisma, septimal schisma	Sasaru	ssr2	33554432 / 33480783	[25 -14 0 -1⟩	3.8041
wadisma	Latritrizo-ayo	Lz9y4	201768035 / 201326592	[-26 -1 1 9⟩	3.7919
quasiorwellisma	Sazoquinbigu	szg104	29360128 / 29296875	[22 -1 -10 1⟩	3.7338

11-limit commas

Name(s)	Color Name		Ratio	Monzo	Cents
thuja comma	Saquinlu-ayo	s1u5y2	163840 / 161051	[15 0 1 0 -5⟩	29.724
sensmus	Salozogu	s1ozg2	1232/1215	[4 -5 -1 1 1⟩	24.055
sevnothrush	Loquingu	1og52	3168/3125	[5 2 -5 0 1⟩	23.659
cassacot	Biluzo-ayo	1uuzzy2	245/242	[-1 0 1 2 -2⟩	21.330
antimisma	Lobizogu	1ozzgg2	1617/1600	[-6 1 -2 2 1⟩	18.297
mothwellsma	Loruru	1orr-2	99/98	[-1 2 0 -2 1⟩	17.576
ptolemisma	Luyoyo	1uyy1	100/99	[2 -2 2 0 -1⟩	17.399
hemimin	Trilu-azo	1u3z2	1344/1331	[6 1 0 1 -3⟩	16.827
Betarabian comma	Lalolo	L1oo-2	264627 / 262144	[-18 7 0 0 2⟩	16.321
biyatisma	Lologu	1oog1	121/120	[-3 -1 -1 0 2⟩	14.367
aphrowe	Trilo-aruru	1o3rr-2	1331/1323	[0 -3 0 -2 3⟩	10.437
valinorsma	Lorugugu	1orgg1	176/175	[4 0 -2 -1 1⟩	9.8646
pentacircle	Saluzo	s1uz2	896/891	[7 -4 0 1 -1⟩	9.6880
Alpharabian comma	Laquadlo	L1o4-2	131769 / 131072	[-17 2 0 0 4⟩	9.1818
orgonisma	Satrilu-aruru	s1u3rr1	65536 / 65219	[16 0 0 -2 -3⟩	8.3944
quindecic comma	Sasa-quintriloru	ss1o15r15-8		[14 -15 0 -15 15⟩	8.0555
fantares comma	Luluzoquadyo	1uuzy41	4375 / 4356	[-2 -2 4 1 -2⟩	7.5349
semicanousma	Quadlo-agu	1o4g1	14641 / 14580	[-2 -6 -1 0 4⟩	7.2281
rastma	Lulu	1uu1	243/242	[-1 5 0 0 -2⟩	7.1391
myhemiwell	Lolozotrigu	1oozg32	3388/3375	[2 -3 -3 1 2⟩	6.6556
semiporwellisma	Salulugu	s1uug2	16384 / 16335	[14 -3 -1 0 -2⟩	5.1854
octatonic comma	Quadbilu	1u82	214990848 / 214358881	[15 8 0 0 -8⟩	5.0965
keenanisma	Lozoyo	1ozy1	385/384	[-7 -1 1 1 1⟩	4.5026
trimitone comma	Lalotrigu	L1og31	8019/8000	[-6 6 -3 0 1⟩	4.1068
werckisma	Luzozogu	1uzzg2	441/440	[-3 2 -1 2 -1⟩	3.9302
moctdel	Lotriruyo	1or3y3-3	1375/1372	[-2 0 3 -3 1⟩	3.7814
liganellus comma, liganellisma	Luruquinyo	1ury5-2	6250/6237	[1 -4 5 -1 -1⟩	3.60473

13-limit commas

Name(s)	Color Name		Ratio	Monzo	Cents
wilsorma	Thoyo	3oy1	65/64	[-6 0 1 0 0 1⟩	26.841
hyperpyth comma	Quadtho-aquingu	3o4g53	28561/28125	[0 -2 -5 0 0 4⟩	26.632
winmeanma	Thulogu	3u1og1	66/65	[1 1 -1 0 1 -1⟩	26.432
negustma	Tholuru	3o1ur1	78/77	[1 1 0 -1 -1 1⟩	22.339
superleap	Thozogu	3ozg2	91/90	[-1 -2 -1 1 0 1⟩	19.130
diahuntmisma	Labithozo	L3oozz2	8281/8192	[-13 0 0 2 0 2⟩	18.707
tridecimal neutral 3rds comma	Thuthu	3uu1	512/507	[9 -1 0 0 0 -2⟩	16.990
animist	Thuzoyo	3uzy1	105/104	[-3 1 1 1 0 -1⟩	16.567
secorian	Sathuzo	s3uz2	28672 / 28431	[12 -7 0 1 0 -1⟩	14.613
mosaic	Lathoruru	L3orr-2	3159/3136	[-6 5 0 -2 0 1⟩	12.651
gassorma	Thuloruyoyo	3u1oryy-2	275/273	[0 -1 2 -1 1 -1⟩	12.637
grossma	Thulu	3u1u1	144/143	[4 2 0 0 -1 -1⟩	12.064
buzurgisma, dhanvantarisma	Thothoru	3oor1	169/168	[-3 -1 0 -1 0 2⟩	10.274
diagassormisma	Bitholugu	3oo1uugg2	3042/3025	[1 2 -2 0 -2 2⟩	9.7020
greater nelindic comma	Thothoquinru-ayoyo	3oor5yy-3	16900/16807	[2 0 2 -5 0 2⟩	9.5532
catadictma	Thologu	3o1og1	1287/1280	[-8 2 -1 0 1 1⟩	9.4419
mynucuma	Thuzozogu	3uzzg2	196/195	[2 -1 -1 2 0 -1⟩	8.8554
huntma, lesser nelindic comma	Thururuyo	3urry-2	640/637	[7 0 1 -2 0 -1⟩	8.1342
threedie	Satritho	s3o32	2197/2187	[0 -7 0 0 0 3⟩	7.8980
kestrel comma	Thuthuloru	3uu1or-2	1188/1183	[2 3 0 -1 1 -2⟩	7.3017
lambeth	Thobiloru	3o1oorr-2	1573/1568	[-5 0 0 -2 2 1⟩	5.5117
marveltwin	Thoyoyo	3oyy1	325/324	[-2 -4 2 0 0 1⟩	5.3351
Hunt 13-cycle comma	Laquinbitho	L3o102	137858491849 / 137438953472	[-37 0 0 0 0 10⟩	5.2766
ratwolfsma	Thorugugu	3orgg1	351/350	[-1 3 -2 -1 0 1⟩	4.9393
minthma, 11/13-kleisma	Thulo	3u1o1	352/351	[5 -3 0 0 1 -1⟩	4.9253
gentle comma	Tholuluzo	3o1uuz2	364/363	[2 -1 0 1 -2 1⟩	4.7627
cuthbert	Bithulo-azogu	3uu1oozg1	847/845	[0 0 -1 1 2 -2⟩	4.0928

17-limit commas

Name(s)	Color Name		Ratio	Monzo	Cents
soruyo unison	Soruyo	17ory1	85/84	[-2 -1 1 -1 0 0 1⟩	20.488
lum comma	Sosothulu	17oo3u1u2	289/286	[-1 0 0 0 -1 -1 2⟩	18.065
mey comma	Sutritho	17u3o31	2197/2176	[-7 0 0 0 0 3 -1⟩	16.628
septendecimal comma, Hunt flat 2 comma	Laso	L17o1	4131/4096	[-12 5 0 0 0 0 1⟩	14.730
lynchisma, suruyo comma	Suruyo	17ury-2	120/119	[3 1 1 -1 0 0 -1⟩	14.487
23 semitone comma	Trila-twetheso	L317o2310		[-94 0 0 0 0 0 23⟩	13.974
sothuthuyo unison	Sothuthuyo	17o3uuy1	170/169	[1 0 1 0 0 -2 1⟩	10.214
septendecimal schisma	Lasu	L17u-2	2187/2176	[-7 7 0 0 0 0 -1⟩	8.7296
Mean thirds comma	Lasosoyo	L17ooy1	1053405/1048576	[-20 6 1 0 0 0 2⟩	7.9545
Blume comma	Sololo	17o1oo1	2057/2048	[-11 0 0 0 2 0 1⟩	7.5913
septendecimal kleisma	Sugu	17ug1	256/255	[8 -1 -1 0 0 0 -1⟩	6.7759
tannisma	Suthozo	17u3oz1	273/272	[-4 1 0 1 0 1 -1⟩	6.3532
septendecimal integer cents comma	Soso	17oo2	289/288	[-5 -2 0 0 0 0 2⟩	6.0008
17-ripple integer cents comma				[327 0 0 0 0 0 -80⟩	3.5672

19-limit commas

Name(s)	Color name		Ratio	Monzo	Cents
nuruyo comma	Nuruyo	19ury-2	135/133	[0 3 1 -1 0 0 0 -1⟩	25.84
nogugu 2nd	Nogugu	19ogg2	76/75	[2 -1 -2 0 0 0 0 1⟩	22.931
nulozo unison (approximation to the adjacent step of 53edo)	Nulozo	19u1oz1	77/76	[-2 0 0 1 1 0 0 -1⟩	22.631
19th-partial chroma	Nugu	19ug1	96/95	[5 1 -1 0 0 0 0 -1⟩	18.128
ume comma	Nutriso	19u17o32	4913/4864	[-8 0 0 0 0 0 3 -1⟩	17.353
noluzo 2nd	Noluzo	19o1uz2	133/132	[-2 -1 0 1 -1 0 0 1⟩	13.066
ganassisma, Ganassi's comma	Nuso	19u17o1	153/152	[-3 2 0 0 0 0 1 -1⟩	11.352
nosugu unison	Nosugu	19o17ug1	171/170	[-1 2 -1 0 0 0 -1 1⟩	10.154
eye comma	Nusosolulu	19u17oo1uu2	2312/2299	[3 0 0 0 -2 0 2 -1⟩	9.7619
Hunt 19-cycle comma	Saquadnu	s19u4-2	131072 / 130321	[17 0 0 0 0 0 0 -4⟩	9.9479
binulo comma	Binulo	19uu1oo-2	363/361	[0 1 0 0 2 0 0 -2⟩	9.5649
yama comma	Nothulo	19o3u1o1	209/208	[-4 0 0 0 1 -1 0 1⟩	8.3033
spleen comma	Nuluzoyo	19u1uzy1	210/209	[1 1 1 1 -1 0 0 -1⟩	8.2637
nuthologu comma	Nuthologu	19u3o1og1	286/285	[1 -1 -1 0 1 1 0 -1⟩	6.0639
nusu comma	Nusu	19u17u-2	324/323	[2 4 0 0 0 0 -1 -1⟩	5.3516
go comma	Nonogu	19oog2	361/360	[-3 -2 -1 0 0 0 0 2⟩	4.8023

Higher-limit commas

Name(s)	Color name		Ratio	Monzo	Cents
Classical mediant of Didymus' and Archytas' commas	Twenothuluyo	29o3u1uy1	145/143	[0 0 1 0 -1 -1 0 0 0 1⟩	24.045