Table of 3-limit commas

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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
whole tone 2-comma wa 2nd w2 [-3 2 203.91
193-comma wa-193 comma w-193 [306 -193 202.46
255-comma wa-255 comma w-255 [-404 255 198.525
104-comma wa-104 comma w-104 [165 -104 196.68
157-comma wa-157 comma w-157 [249 -157 193.065
149-comma wa-149 comma w-149 [-236 149 191.295
263-comma wa-263 comma w-263 [417 -263 185.835
43-comma wa-43 comma w-43 [-68 43 184.065
296-comma wa-296 comma w-296 [-469 296 178.68
63-comma wa-63 comma w-63 [100 -63 176.835
243-comma wa-243 comma w-243 [-385 243 175.605
190-comma wa-190 comma w-190 [-301 190 171.45
169-comma wa-169 comma w-169 [268 -169 169.605
137-comma wa-137 comma w-137 [-217 137 167.835
275-comma wa-275 comma w-275 [436 -275 162.375
31-comma wa-31 comma w-31 [-49 31 160.605
22-comma wa-22 comma w-22 [35 -22 156.99
75-comma wa-75 comma w-75 [119 -75 153.375
128-comma wa-128 comma w-128 [203 -128 149.76
181-comma wa-181 comma w-181 [287 -181 146.145
125-comma wa-125 comma w-125 [-198 125 144.375
234-comma wa-234 comma w-234 [371 -234 142.53
19-comma wa-19 comma w-19 [-30 19 137.145
272-comma wa-272 comma w-272 [-431 272 131.75
219-comma wa-219 comma w-219 [-347 219 128.145
166-comma wa-166 comma w-166 [-263 166 124.53
113-comma wa-113 comma w-113 [179 -113 120.915
Apotome 7-comma lawa unison Lw1 [-11 7 113.685
Pythagorean-septendecimal semitone 207-comma wa-207 comma w-207 [-328 207 104.685
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
258-comma wa-258 comma w-258 [409 -258 95.61
Limma, Pythagorean minor second 5-comma sawa 2nd sw2 [8 -5 90.225
301-comma wa-301 comma w-301 [-477 301 88.455
248-comma wa-248 comma w-248 [-393 248 84.840
111-comma wa-111 comma w-111 [176 -111 82.995
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
17-comma wa-17 comma s3w3 [27 -17 66.765
289-comma wa-289 comma w-289 [-458 289 64.995
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
77-comma wa-77 comma w-77 [-122 77 50.535
282-comma wa-282 comma w-282 [447 -282 48.69
29-comma wa-29 comma w-29 [46 -29 43.305
277-comma wa-277 comma w-277 [-439 277 41.535
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
118-comma wa-118 comma w-118 [-187 118 30.690
241-comma wa-241 comma w-241 [382 -241 28.845
Pythagorean septimal comma 65-comma wa-65 comma w-65 [-103 65 27.075
Pythagorean comma 12-comma lalawa comma LLw-2 [-19 12 23.460
Pythagorean countercomma, countercomp comma 41-comma wa-41 comma w-41 [65 -41 19.845
Garistearn comma 94-comma wa-94 comma w-94 [149 -94 16.230
147-comma wa-147 comma w-147 [233 -147 12.615
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
Mercator's comma 53-comma wa-53 comma w-53 [-84 53 3.6150
359-comma wa-359 comma w-359 [-569 359 1.8453
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
31867-comma wa-31867 comma w-31867 [-50508 31867 0.012577
Archangelic comma 190537-comma wa-190537 comma w-190537 [301994 -190537 0.000112