Table of 3-limit commas: Difference between revisions

A [[3-limit]] comma is the amount which separates ''m'' [[3/2|fifths]] from ''n'' [[octaves]]s. It is the simplest kind of comma a tuning may [[Tempering out|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.

|{{monzo| -3 2 }}

|193-comma

|wa-193 comma

|w-193

|{{monzo| 306 -193 }}

|202.46

|255-comma

|wa-255 comma

|w-255

|{{monzo| -404 255 }}

|198.525

|104-comma

|wa-104 comma

|w-104

|{{monzo|165 -104}}

|196.68

|157-comma

|wa-157 comma

|w-157

|{{monzo|249 -157}}

|193.065

|149-comma

|wa-149 comma

|w-149

|{{monzo| -236 149 }}

|191.295

|263-comma

|wa-263 comma

|w-263

|{{monzo| 417 -263 }}

|185.835

|{{monzo| -68 43 }}

|296-comma

|wa-296 comma

|w-296

|{{monzo| -469 296 }}

|178.68

|{{monzo| 100 -63 }}

|243-comma

|wa-243 comma

|w-243

|{{monzo| -385 243 }}

|175.605

|190-comma

|wa-190 comma

|w-190

|{{monzo| -301 190 }}

|171.45

|169-comma

|wa-169 comma

|w-169

|{{monzo| 268 -169}}

|169.605

|137-comma

|wa-137 comma

|w-137

|{{monzo| -217 137 }}

|167.835

|275-comma

|wa-275 comma

|w-275

|{{monzo| 436 -275 }}

|162.375

|[[31-comma_temperaments|31-comma]]

|{{monzo| -49 31 }}

|{{monzo| 35 -22 }}

|{{monzo|119 -75}}

|128-comma

|wa-128 comma

|w-128

|{{monzo| 203 -128}}

|149.76

|181-comma

|wa-181 comma

|w-181

|{{monzo| 287 -181 }}

|146.145

|125-comma

|wa-125 comma

|w-125

|{{monzo| -198 125}}

|144.375

|234-comma

|wa-234 comma

|w-234

|{{monzo| 371 -234 }}

|142.53

|{{monzo| -30 19 }}

|272-comma

|wa-272 comma

|w-272

|{{monzo| -431 272 }}

|131.75

|219-comma

|wa-219 comma

|w-219

|{{monzo| -347 219 }}

|128.145

|166-comma

|wa-166 comma

|w-166

|{{monzo| -263 166}}

|124.53

|113-comma

|wa-113 comma

|w-113

|{{monzo| 179 -113 }}

|120.915

| [[2187/2048|apotome]]

|{{monzo| -11 7 }}

|Pythagorean-Septendecimal semitone  

|207-comma

|wa-207 comma

|w-207

|{{monzo| -328 207 }}

|104.685

|{{monzo| 73 -46 }}

|{{monzo| 157 -99 }}

|152-comma

|wa-152 comma

|w-152

|{{monzo|241 -152}}

|102.84

|{{monzo| -160 101 }}

|258-comma

|wa-258 comma

|w-258

|{{monzo| 409 -258 }}

|95.61

| limma, Pythagorean minor second

|{{monzo| 8 -5 }}

|{{monzo| -477 301 }}

|{{monzo| -393 248 }}

|{{monzo| 176 -111 }}

|195-comma

|wa-195 comma

|w-195

|{{monzo| -309 195 }}

|81.225

|{{monzo| -225 142 }}

|{{monzo| 344 -217 }}

|{{monzo| -141 89 }}

|[[17-comma]]

|{{monzo| 27 -17 }}

|{{monzo| -458 289 }}

|{{monzo| 111 -70 }}

|{{monzo| -290 183 }}

|{{monzo| 279 -176 }}

|{{monzo| 363 -229 }}

|{{monzo| -122 77 }}

|282-comma

|wa-282 comma

|w-282

|{{monzo| 447 -282}}

|48.69

|[[29-comma]]

|{{monzo| 46 -29 }}

|{{monzo| -439 277 }}

|{{monzo| -355 224 }}

|{{monzo| 214 -135 }}

|{{monzo| -271 171 }}

|{{monzo| -187 118 }}

|{{monzo| 382 -241 }}

|{{monzo| -103 65 }}

|{{monzo| -19 12 }}

|[[Stearnsmic clan #Garistearn|Garistearn comma]]

|{{monzo| 149 -94 }}

|{{monzo| 233 -147 }}

|{{monzo| 317 -200 }}

|{{monzo| 401 -253 }}

|[[Mercator's comma]]

|{{monzo| -84 53 }}

|{{monzo| -569 359 }}

|[[Sasktel comma]]

|{{monzo| 485 -306 }}

|[[Satanic comma]]

|{{monzo| -1054 665 }}

|{{monzo| 24727 -15601 }}

|{{monzo| -50508 31867 }}

|{{monzo| 301994 -190537 }}