Table of 3-limit commas

A 3-limit comma is the amount which separates m fifths from n octaves. It is the simplest kind of comma a tuning may temper out. All commas not equal to the perfect fourth listed here generate interlaced pentatonic scales and fifths tempered by up to one step of n EDO when tempered out.

Name(s)		Color Name		Monzo	Cents	Name	Color Name		Monzo	Cents
	106-comma	wa-106 comma	w-106	[169 -106⟩	1192.77
	159-comma	wa-159 comma	w-159	[253 -159⟩	1189.155
	188-comma	wa-188 comma	w-188	[-297 188⟩	1167.54
	82-comma	wa-82 comma	w-82	[129 -82⟩	1160.31
	130-comma	wa-130 comma	w-130	[207 -130⟩	1145.85
	123-comma	wa-123 comma	w-123	[-194 123⟩	1140.465
	164-comma	wa-164 comma	w-164	[-259 164⟩	1120.62
	58-comma	wa-58 comma	w-58	[-91 58⟩	1113.39
	48-comma	wa-48 comma	w-48	[77 -48⟩	1106.16
	154-comma	wa-154 comma	w-154	[245 -154⟩	1098.93
	140-comma	wa-140 comma	w-140	[-221 140⟩	1073.7
	87-comma	wa-87 comma	w-87	[-137 87⟩	1070.085
	34-comma	wa-34 comma	w-34	[-53 34⟩	1066.47
	72-comma	wa-72 comma	w-72	[115 -72⟩	1059.24
	178-comma	wa-178 comma	w-178	[283 -178⟩	1052.01
	116-comma	wa-116 comma	w-116	[-183 116⟩	1026.78
	51-comma	wa-51 comma	w-51	[-80 51⟩	999.705
	198-comma	wa-198 comma	w-198	[-313 198⟩	987.09
	145-comma	wa-145 comma	w-145	[-229 145⟩	983.475
	92-comma	wa-92 comma	w-92	[-145 92⟩	979.86
	14-comma	sawa 7th	sw7	[23 -14⟩	972.63
	120-comma	wa-120 comma	w-120	[191 -120⟩	965.4
	174-comma	wa-174 comma	w-174	[-275 174⟩	940.17
	68-comma	wa-68 comma	w-68	[-107 68⟩	932.94
Pythagorean supermajor sixth	15-comma	lawa 6th	Lw6	[-23 15⟩	929.325
	38-comma	wa-38 comma	w-38	[-61 38⟩	925.71
	144-comma	wa-144 comma	w-144	[229 -144⟩	918.48
	44-comma	wa-44 comma	w-44	[69 -44⟩	886.02
	62-comma	wa-62 comma	w-62	[99 -62⟩	878.79
	85-comma	wa-85 comma	w-85	[-134 85⟩	866.175
	21-comma	wa-21 comma	w-21	[34 -21⟩	858.945
	126-comma	wa-126 comma	w-126	[-199 126⟩	846.33
	20-comma	wa-20 comma	w-20	[-31 20⟩	839.1
	86-comma	wa-86 comma	w-86	[137 -86⟩	831.87
	192-comma	wa-192 comma	w-192	[305 -192⟩	824.64
	102-comma	wa-102 comma	w-102	[-161 102⟩	799.41
	57-comma	wa-57 comma	w-57	[91 -57⟩	788.565
	184-comma	wa-184 comma	w-184	[-291 184⟩	759.72
	25-comma	wa-25 comma	w-25	[-39 25⟩	748.875
	28-comma	wa-28 comma	w-28	[45 -28⟩	745.26
	134-comma	wa-134 comma	w-134	[213 -134⟩	738.03
	119-comma	wa-119 comma	w-119	[-188 119⟩	732.645
	93-comma	wa-93 comma	w-93	[148 -93⟩	718.185
	160-comma	wa-160 comma	w-160	[-253 160⟩	712.8
	54-comma	wa-54 comma	w-54	[-85 54⟩	705.57
	52-comma	wa-52 comma	w-52	[83 -52⟩	698.33
	158-comma	wa-158 comma	w-158	[251 -158⟩	691.11
	189-comma	wa-189 comma	w-189	[-299 189⟩	669.495
	136-comma	wa-136 comma	w-136	[-215 136⟩	665.88
	83-comma	wa-83 comma	w-83	[-132 83⟩	662.265
	30-comma	wa-30 comma	w-30	[-47 30⟩	658.65
	76-comma	wa-76 comma	w-76	[-121 76⟩	651.42
	129-comma	wa-129 comma	w-129	[205 -129⟩	647.805
	182-comma	wa-182 comma	w-182	[289 -182⟩	644.19
	112-comma	wa-112 comma	w-112	[177 -112⟩	618.96
	100-comma	wa-100 comma	w-100	[159 -100⟩	604.49
	153-comma	wa-153 comma	w-153	[-242 153⟩	599.115
	47-comma	wa-47 comma	w-47	[-74 47⟩	591.885		wa-47b comma	w-47b	[75 -47⟩	608.115
	59-comma	wa-59 comma	w-59	[94 -59⟩	584.655		wa-59b comma	w-59b	[-93 59⟩	615.345
	194-comma	wa-194 comma	w-194	[-307 193⟩	579.27
	165-comma	wa-165 comma	w-165	[262 -165⟩	577.425
	141-comma	wa-141 comma	w-141	[-223 141⟩	575.655		wa-141b comma	w-141b	[224 -141⟩	624.345
	88-comma	wa-88 comma	w-88	[139 -88⟩	572.04
	18-comma	wa-18 comma	w-18	[29 -18⟩	564.81
	177-comma	wa-177 comma	w-177	[281 -177⟩	553.965		wa-177b comma	w-177b	[-280 177⟩	646.035
	23-comma	wa-23 comma	w-23	[-36 23⟩	544.965		wa-23b comma	w-23b	[37 -23⟩	655.055
	83-comma	wa-83 comma	w-83	[133 -83⟩	537.735
	71-comma	wa-71 comma	w-71	[113 -71⟩	561.195		wa-71b comma	w-71b	[-112 71⟩	638.805
	124-comma	wa-124 comma	w-124	[197 -124⟩	557.58
	170-comma	wa-170 comma	w-170	[-269 170⟩	532.35
	117-comma	wa-117 comma	w-117	[-185 117⟩	528.735
Pythagorean-Armodue fourth	64-comma	wa-64 comma	w-64	[-101 64⟩	525.12
Pythagorean wolf fourth	11-comma	lawa 4th	Lw4	[-17 11⟩	521.505	Pythagorean wolf fifth	sawa 5th	sw5	[18 -11⟩	678.495
	42-comma	wa-42 comma	w-42	[67 -42⟩	517.89
	95-comma	wa-95 comma	w-95	[151 -95⟩	514.275
	148-comma	wa-148 comma	w-148	[235 -148⟩	510.66
	105-comma	wa-105 comma	w-105	[-166 105⟩	505.275		wa-105b comma	w-105b	[167 -105⟩	694.725
perfect fourth	1-comma	wa 4th	w4	[2 -1⟩	498.045	perfect fifth	wa 5th	w5	[-1 1⟩	701.955
	107-comma	wa-107 comma	w-107	[170 -107⟩	490.815		wa-107b comma	w-107b	[-169 107⟩	709.185
	199-comma	wa-199 comma	w-199	[-315 199⟩	489.045		wa-199b comma	w-199b	[316 -199⟩	710.955
	146-comma	wa-146 comma	w-146	[-229 146⟩	485.43
	40-comma	wa-40 comma	w-40	[63 -40⟩	478.2
	13-comma	sawa 4th	sw4	[21 -13⟩	474.585		lawa 5th	Lw5	[-20 13⟩	725.415
	187-comma	wa-187 comma	w-187	[-296 187⟩	465.585		wa-187b comma	w-187b	[297 -187⟩	734.415
	172-comma	wa-172 comma	w-172	[273 -172⟩	463.73
	81-comma	wa-81 comma	w-81	[-128 81⟩	458.355
	131-comma	wa-131 comma	w-131	[208 -131⟩	443.895		wa-131b comma	w-131b	[-207 131⟩	756.195
	175-comma	wa-175 comma	w-175	[-277 175⟩	422.175		wa-175b comma	w-175b	[278 -175⟩	757.875
	122-comma	wa-122 comma	w-122	[-193 122⟩	438.51
	69-comma	wa-69 comma	w-69	[-109 69⟩	434.895		wa-69b comma	w-69b	[110 -69⟩	765.105
Pythagorean supermajor third	16-comma	lalawa 2rd	LLw2	[-25 16⟩	431.28
	37-comma	wa-37 comma	w-37	[59 -37⟩	427.665		wa-37b comma	w-37b	[-58 37⟩	772.335
	90-comma	wa-90 comma	w-90	[-143 90⟩	424.05
	143-comma	wa-143 comma	w-143	[-227 143⟩	420.435		wa-143b comma	w-143b	[228 -143⟩	779.565
	163-comma	wa-163 comma	w-163	[-258 163⟩	418.665		wa-163b comma	w-163b	[259 -163⟩	781.335
	196-comma	wa-196 comma	w-196	[311 -196⟩	416.82
	49-comma	wa-49 comma	w-49	[78 -49⟩	404.205
	155-comma	wa-155 comma	w-155	[246 -155⟩	396.975
	151-comma	wa-151 comma	w-151	[-239 151⟩	395.205		wa-151b comma	w-151b	[240 -151⟩	804.795
	98-comma	wa-98 comma	w-98	[-155 98⟩	391.59
	45-comma	wa-45 comma	w-45	[-71 45⟩	387.975
Pythagorean diminished fourth	8-comma	sawa 4th	sw4	[13 -8⟩	384.360
Pythagorean 1/5 tritave	61-comma	wa-61 comma	w-61	[97 -61⟩	380.745		wa-61b comma	w-61b	[-96 61⟩	819.255
	114-comma	wa-114 comma	w-114	[181 -114⟩	377.13
	167-comma	wa-167 comma	w-167	[265 -167⟩	373.515		wa-167b comma	w-167b	[265 -167⟩	826.485
	139-comma	wa-139 comma	w-139	[-220 139⟩	371.745		wa-139b comma	w-139b	[221 -139⟩	828.255
	33-comma	wa-33 comma	w-33	[-52 33⟩	364.515		wa-33b comma	w-33b	[53 -33⟩	835.485
	73-comma	wa-73 comma	w-73	[116 -73⟩	357.285		wa-73b comma	w-73b	[-115 73⟩	842.715
	179-comma	wa-179 comma	w-179	[284 -179⟩	350.055		wa-179b comma	w-179b	[-283 179⟩	849.945
	127-comma	wa-127 comma	w-127	[-201 127⟩	348.285		wa-127b comma	w-127b	[202 -127⟩	851.715
	74-comma	wa-74 comma	w-74	[117 -74⟩	344.67
	32-comma	wa-32 comma	w-32	[51 -32⟩	337.44
	191-comma	wa-191 comma	w-191	[303 -191⟩	326.595		wa-191b comma	w-191b	[-302 191⟩	873.405
	115-comma	wa-115 comma	w-115	[-182 115⟩	324.825		wa-115b comma	w-115b	[183 -115⟩	875.175
Pythagorean augmented second	9-comma	lawa 2nd	Lw2	[-14 9⟩	317.595
	97-comma	wa-97 comma	w-97	[153 -97⟩	310.365		wa-97b comma	w-97b	[153 -97⟩	889.365
	156-comma	wa-156 comma	w-156	[-247 156⟩	304.98
	103-comma	wa-103 comma	w-103	[-163 103⟩	301.37		wa-103b comma	w-103b	[164 -103⟩	898.63
	50-comma	wa-50 comma	w-50	[-79 50⟩	297.75
Pythagorean minor third	3-comma	wa 3rd	w3	[5 -3⟩	294.135	Pythagorean major sixth	wa 6th	w6	[-4 3⟩	905.865
	56-comma	wa-56 comma	w-56	[89 -56⟩	290.52
	109-comma	wa-109 comma	w-109	[173 -109⟩	286.905		wa-109b comma	w-109b	[-172 109⟩	913.095
	197-comma	wa-197 comma	w-197	[-312 197⟩	285.135		wa-197b comma	w-197b	[313 -197⟩	914.865
	162-comma	wa-162 comma	w-162	[257 -162⟩	283.29
	91-comma	wa-91 comma	w-91	[-144 91⟩	277.905		wa-91b comma	w-91b	[145 -91⟩	922.095
	121-comma	wa-121 comma	w-121	[192 -121⟩	263.445		wa-121b comma	w-121b	[-191 121⟩	936.555
	185-comma	wa-185 comma	w-185	[-293 185⟩	261.675		wa-185b comma	w-185b	[294 -185⟩	938.325
	131-comma	wa-131 comma	w-131	[208 -131⟩	258.06
	79-comma	wa-79 comma	w-79	[-125 79⟩	254.445		wa-79b comma	w-79b	[126 -79⟩	945.555
	26-comma	wa-26 comma	w-26	[-41 26⟩	250.83
	27-comma	wa-27 comma	w-27	[43 -27⟩	247.215		wa-27b comma	w-27b	[-44 27⟩	952.785
	80-comma	wa-80 comma	w-80	[127 -80⟩	243.6
	173-comma	wa-173 comma	w-173	[-274 173⟩	238.215		wa-173b comma	w-173b	[275 -173⟩	961.785
	186-comma	wa-186 comma	w-186	[-295 186⟩	236.37
	67-comma	wa-67 comma	w-67	[-106 67⟩	230.985	Pythagorean harmonic seventh	wa-67b comma	w-67b	[107 -67⟩	969.015
	39-comma	wa-39 comma	w-39	[62 -39⟩	223.75		wa-39b comma	w-39b	[-61 39⟩	976.25
	161-comma	wa-161 comma	w-161	[-255 161⟩	214.755		wa-161b comma	w-161b	[256 -161⟩	985.245
	55-comma	wa-55 comma	w-55	[-87 55⟩	207.525
whole tone	2-comma	wa 2nd	w2	[-3 2⟩	203.91
	193-comma	wa-193 comma	w-193	[306 -193⟩	202.46		wa-193b comma	w-193b	[-305 193⟩	997.54
	104-comma	wa-104 comma	w-104	[165 -104⟩	196.68
	157-comma	wa-157 comma	w-157	[249 -157⟩	193.065		wa-157b comma	w-157b	[-248 157⟩	1006.935
	149-comma	wa-149 comma	w-149	[-236 149⟩	191.295		wa-149b comma	w-149b	[237 -149⟩	1008.705
	43-comma	wa-43 comma	w-43	[-68 43⟩	184.065		wa-43b comma	w-43b	[67 -43⟩	1015.395
	63-comma	wa-63 comma	w-63	[100 -63⟩	176.835
	190-comma	wa-190 comma	w-190	[-301 190⟩	171.45
	169-comma	wa-169 comma	w-169	[268 -169⟩	169.605		wa-169b comma	w-169b	[-267 169⟩	1030.395
	137-comma	wa-137 comma	w-137	[-217 137⟩	167.835		wa-137b comma	w-137b	[218 -137⟩	1032.165
	31-comma	wa-31 comma	w-31	[-49 31⟩	160.605		wa-31b comma	w-31b	[50 -31⟩	1039.395
	22-comma	wa-22 comma	w-22	[35 -22⟩	156.99
	75-comma	wa-75 comma	w-75	[119 -75⟩	153.375		wa-75b comma	w-75b	[-118 75⟩	1046.625
	128-comma	wa-128 comma	w-128	[203 -128⟩	149.76
	181-comma	wa-181 comma	w-181	[287 -181⟩	146.145		wa-181b comma	w-181b	[-286 181⟩	1053.855
	125-comma	wa-125 comma	w-125	[-198 125⟩	144.375		wa-125b comma	w-125b	[199 -125⟩	1055.625
	19-comma	wa-19 comma	w-19	[-30 19⟩	137.145		wa-19b comma	w-19b	[31 -19⟩	1062.855
	166-comma	wa-166 comma	w-166	[-263 166⟩	124.53
	113-comma	wa-113 comma	w-113	[179 -113⟩	120.915		wa-113b comma	w-113b	[180 -113⟩	1079.085
apotome	7-comma	lawa unison	Lw1	[-11 7⟩	113.685		sawa octave	sw8	[12 -7⟩	1086.315
	46-comma	wa-46 comma	w-46	[73 -46⟩	110.07
	99-comma	wa-99 comma	w-99	[157 -99⟩	106.455
	152-comma	wa-152 comma	w-152	[241 -152⟩	102.84
	101-comma	wa-101 comma	w-101	[-160 101⟩	97.455		wa-101b comma	w-101b	[159 -101⟩	1102.545
limma, Pythagorean minor second	5-comma	sawa 2nd	sw2	[8 -5⟩	90.225	Pythagorean major seventh	lawa 7th	Lw7	[-7 5⟩	1109.775
	301-comma	wa-301 comma	w-301	[-477 301⟩	88.455		wa-301b comma	w-301b	[478 -301⟩	1111.545
	248-comma	wa-248 comma	w-248	[-393 248⟩	84.840
	111-comma	wa-111 comma	w-111	[176 -111⟩	82.995		wa-111b comma	w-111b	[-175 111⟩	1117.005
	195-comma	wa-195 comma	w-195	[-309 195⟩	81.225
	142-comma	wa-142 comma	w-142	[-225 142⟩	77.610
	217-comma	wa-217 comma	w-217	[344 -217⟩	75.765
	89-comma	wa-89 comma	w-89	[-141 89⟩	73.995		wa-89b comma	w-89b	[142 -89⟩	1126.005
	17-comma	wa-17 comma	s3w3	[27 -17⟩	66.765	Pythagorean supermajor seventh	wa-17b comma	L3w6	[-26 17⟩	1133.235
	289-comma	wa-289 comma	w-289	[-458 289⟩	64.995		wa-289b comma	w-289b	[459 -289⟩	1135.005
	70-comma	wa-70 comma	w-70	[111 -70⟩	63.150
	183-comma	wa-183 comma	w-183	[-290 183⟩	57.765
	176-comma	wa-176 comma	w-176	[279 -176⟩	55.920
	229-comma	wa-229 comma	w-229	[363 -229⟩	52.305		wa-229b comma	w-229b	[-362 229⟩	1147.695
	77-comma	wa-77 comma	w-77	[-122 77⟩	50.535		wa-77b comma	w-77b	[123 -77⟩	1149.465
	29-comma	wa-29 comma	w-29	[46 -29⟩	43.305		wa-29b comma	w-29b	[-45 29⟩	1156.695
	277-comma	wa-277 comma	w-277	[-439 277⟩	41.535		wa-277b comma	w-277b	[440 -277⟩	1158.465
	224-comma	wa-224 comma	w-224	[-355 224⟩	37.920
	135-comma	wa-135 comma	w-135	[214 -135⟩	36.075
	171-comma	wa-171 comma	w-171	[-271 171⟩	34.305		wa-171b comma	w-171b	[272 -171⟩	1165.695
	118-comma	wa-118 comma	w-118	[-187 118⟩	30.690
	241-comma	wa-241 comma	w-241	[382 -241⟩	28.845		wa-241b comma	w-241b	[-381 241⟩	1171.155
Pythagorean septimal comma	65-comma	wa-65 comma	w-65	[-103 65⟩	27.075		wa-65b comma	w-65b	[102 -65⟩	1172.925
Pythagorean comma	12-comma	lalawa comma or wa comma	LLw-2	[-19 12⟩	23.460
Counterpyth comma	41-comma	wa-41 comma	w-41	[65 -41⟩	19.845		wa-41b comma	w-41b	[-64 41⟩	1180.155
Garistearn comma	94-comma	wa-94 comma	w-94	[149 -94⟩	16.230
	147-comma	wa-147 comma	w-147	[233 -147⟩	12.615		wa-147b comma	w-147b	[-232 147⟩	1187.385
Pythagorean integer-cent ET comma	200-comma	wa-200 comma	w-200	[317 -200⟩	8.9998
	253-comma	wa-253 comma	w-253	[401 -253⟩	5.3848		wa-253b comma	w-253b	[-400 253⟩	1194.6152
Mercator's comma	53-comma	wa-53 comma	w-53	[-84 53⟩	3.6150		wa-53b comma	w-53b	[85 -53⟩	1196.385
	359-comma	wa-359 comma	w-359	[-569 359⟩	1.8453		wa-359b comma	w-359b	[570 -359⟩	1198.8547
Sasktel comma	306-comma	wa-306 comma	w-306	[485 -306⟩	1.7697
Satanic comma	665-comma	wa-665 comma	w-665	[-1054 665⟩	0.075575
	15601-comma	wa-15601 comma	w-15601	[24727 -15601⟩	0.031499		wa-15601b comma	w-15601b	[-24726 15601⟩	1199.968501
	31867-comma	wa-31867 comma	w-31867	[-50508 31867⟩	0.012577		wa-31867b comma	w-31867b	[50509 -31867⟩	1199.987423