Medium comma: Difference between revisions
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| Line 6: | Line 6: | ||
==List of commas, by prime limit== | ==List of commas, by prime limit== | ||
===[[3-limit commas]]=== | ===Often considered [[3-limit commas]]=== | ||
{| class="wikitable" | {| class="wikitable" | ||
!Name(s) | !Name(s) | ||
| Line 13: | Line 13: | ||
![[Monzo]] | ![[Monzo]] | ||
![[Cents]] | ![[Cents]] | ||
|- | |- | ||
| 229-comma | | 229-comma | ||
| Line 115: | Line 31: | ||
| Wa-29 | | Wa-29 | ||
| w-29 | | w-29 | ||
| 70368744177664 / 68630377364883 | | [[Tel:70368744177664|70368744177664]] / [[Tel:68630377364883|68630377364883]] | ||
| {{monzo| 46 -29 }} | | {{monzo| 46 -29 }} | ||
| 43.305 | | 43.305 | ||
| Line 155: | Line 71: | ||
|} | |} | ||
===[[ | ===Often not considered [[3-limit commas]]=== | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | !Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
! [[Ratio]] | ![[Ratio]] | ||
! [[Monzo]] | ![[Monzo]] | ||
! [[Cents]] | ![[Cents]] | ||
|- | |- | ||
| | | limma, Pythagorean minor second | ||
| | | Sawa | ||
| | | sw2 | ||
| | |[[256/243|256 / 243]] | ||
| {{monzo| - | |{{monzo| 8 -5 }} | ||
| | | 90.225 | ||
|- | |- | ||
| | | 301-comma | ||
| | | Wa-301 | ||
| | | w-301 | ||
| | | | ||
| {{monzo| - | |{{monzo| -477 301 }} | ||
| | | 88.455 | ||
|- | |- | ||
| | | 248-comma | ||
| | | Wa-248 | ||
| | | w-248 | ||
| | | | ||
| {{monzo| | |{{monzo| -393 248 }} | ||
| | | 84.840 | ||
|- | |- | ||
| | | 111-comma | ||
| | | Wa-111 | ||
| | | w-111 | ||
| | | | ||
| {{monzo| | |{{monzo| 176 -111 }} | ||
| | | 82.995 | ||
|- | |- | ||
| | | 142-comma | ||
| | | Wa-142 | ||
| | | w-142 | ||
| | | | ||
| {{monzo| - | |{{monzo| -225 142 }} | ||
| | | 77.610 | ||
|- | |- | ||
| | | 217-comma | ||
| | | Wa-217 | ||
| | | w-217 | ||
| | | | ||
| {{monzo| - | |{{monzo| 344 -217 }} | ||
| | | 75.765 | ||
|- | |- | ||
| | | 89-comma | ||
| | | Wa-89 | ||
| | | w-89 | ||
| | | | ||
| {{monzo| | |{{monzo| -141 89 }} | ||
| | | 73.995 | ||
|- | |- | ||
| | |[[17-comma]] | ||
| | | Wa-17 | ||
| | | ssw3 | ||
| | | 134217728 / 129140163 | ||
| {{monzo| | |{{monzo| 27 -17 }} | ||
| | | 66.765 | ||
|- | |- | ||
| | | 289-comma | ||
| | | Wa-289 | ||
| | | w-289 | ||
| | | | ||
| {{monzo| - | |{{monzo| -458 289 }} | ||
| | | 64.995 | ||
|- | |- | ||
| | | 70-comma | ||
| | | Wa-70 | ||
| | | w-70 | ||
| | | | ||
| {{monzo| - | |{{monzo| 111 -70 }} | ||
| | | 63.150 | ||
|- | |- | ||
| | | 183-comma | ||
| | | Wa-183 | ||
| | | w-183 | ||
| | | | ||
| {{monzo| - | |{{monzo| -290 183 }} | ||
| | | 57.765 | ||
| | |} | ||
===Often considered [[5-limit commas]]=== | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
![[Ratio]] | |||
![[Monzo]] | |||
| | ![[Cents]] | ||
|- | |- | ||
| mynic | | mynic | ||
| Quinbigu | | Quinbigu | ||
| g<sup>10</sup>3 | | g<sup>10</sup>3 | ||
| 10077696 / 9765625 | | [[Tel:10077696 / 9765625|10077696 / 9765625]] | ||
| {{monzo| 9 9 -10 }} | |{{monzo| 9 9 -10 }} | ||
| 54.458 | | 54.458 | ||
|- | |- | ||
| Line 279: | Line 176: | ||
| LLy<sup>5</sup>-3 | | LLy<sup>5</sup>-3 | ||
| 553584375 / 536870912 | | 553584375 / 536870912 | ||
| {{monzo| -29 11 5 }} | |{{monzo| -29 11 5 }} | ||
| 53.074 | | 53.074 | ||
|- | |- | ||
| [[negri comma]], double augmentation diesis | |[[negri comma]], double augmentation diesis | ||
| Laquadyo | | Laquadyo | ||
| Ly<sup>4</sup>-2 | | Ly<sup>4</sup>-2 | ||
| 16875 / 16384 | | 16875 / 16384 | ||
| {{monzo| -14 3 4 }} | |{{monzo| -14 3 4 }} | ||
| 51.120 | | 51.120 | ||
|- | |- | ||
| Line 292: | Line 189: | ||
| Triyo | | Triyo | ||
| y<sup>3</sup>1 | | y<sup>3</sup>1 | ||
| [[250/243|250 / 243]] | |[[250/243|250 / 243]] | ||
| {{monzo| 1 -5 3 }} | |{{monzo| 1 -5 3 }} | ||
| 49.166 | | 49.166 | ||
|- | |- | ||
| Line 299: | Line 196: | ||
| Laquintrigu | | Laquintrigu | ||
| Lg<sup>15</sup>3 | | Lg<sup>15</sup>3 | ||
| 31381059609 / 30517578125 | | [[Tel:31381059609|31381059609]] / [[Tel:30517578125|30517578125]] | ||
| {{monzo| 0 22 -15 }} | |{{monzo| 0 22 -15 }} | ||
| 48.304 | | 48.304 | ||
|- | |- | ||
| Line 306: | Line 203: | ||
| Sasa-yoyo | | Sasa-yoyo | ||
| ssyy2 | | ssyy2 | ||
| 1638400 / 1594323 | | [[Tel:1638400 / 1594323|1638400 / 1594323]] | ||
| {{monzo| 16 -13 2 }} | |{{monzo| 16 -13 2 }} | ||
| 47.212 | | 47.212 | ||
|- | |- | ||
| Line 313: | Line 210: | ||
| Lalagu | | Lalagu | ||
| LLg-2 | | LLg-2 | ||
| 43046721 / 41943040 | | [[Tel:43046721 / 41943040|43046721 / 41943040]] | ||
| {{monzo| -23 16 -1 }} | |{{monzo| -23 16 -1 }} | ||
| 44.966 | | 44.966 | ||
|- | |- | ||
| Line 320: | Line 217: | ||
| Trigu | | Trigu | ||
| g<sup>3</sup>2 | | g<sup>3</sup>2 | ||
| [[128/125|128 / 125]] | |[[128/125|128 / 125]] | ||
| {{monzo| 7 0 -3 }} | |{{monzo| 7 0 -3 }} | ||
| 41.059 | | 41.059 | ||
|- | |- | ||
| Line 327: | Line 224: | ||
| Lala-quadtriyo | | Lala-quadtriyo | ||
| LLy<sup>12</sup>-4 | | LLy<sup>12</sup>-4 | ||
| 2197265625 / 2147483648 | | [[Tel:2197265625|2197265625]] / [[Tel:2147483648|2147483648]] | ||
| {{monzo| -31 2 12 }} | |{{monzo| -31 2 12 }} | ||
| 39.675 | | 39.675 | ||
|- | |- | ||
| [[sycamore]] | |[[sycamore]] | ||
| Laleyo | | Laleyo | ||
| Ly<sup>11</sup>-3 | | Ly<sup>11</sup>-3 | ||
| 48828125 / 47775744 | | [[Tel:48828125 / 47775744|48828125 / 47775744]] | ||
| {{monzo| -16 -6 11 }} | |{{monzo| -16 -6 11 }} | ||
| 37.721 | | 37.721 | ||
|- | |- | ||
| Line 341: | Line 238: | ||
| Lala-sepgu | | Lala-sepgu | ||
| LLg<sup>7</sup>1 | | LLg<sup>7</sup>1 | ||
| 10460353203 / 10240000000 | | [[Tel:10460353203|10460353203]] / [[Tel:10240000000|10240000000]] | ||
| {{monzo| -17 21 -7 }} | |{{monzo| -17 21 -7 }} | ||
| 36.859 | | 36.859 | ||
|- | |- | ||
| Line 348: | Line 245: | ||
| Saquinbiyo | | Saquinbiyo | ||
| sy<sup>10</sup>-2 | | sy<sup>10</sup>-2 | ||
| 9765625 / 9565938 | | [[Tel:9765625 / 9565938|9765625 / 9565938]] | ||
| {{monzo| -1 -14 10 }} | |{{monzo| -1 -14 10 }} | ||
| 35.767 | | 35.767 | ||
|- | |- | ||
| Line 355: | Line 252: | ||
| Laquadbigu | | Laquadbigu | ||
| Lg<sup>8</sup>2 | | Lg<sup>8</sup>2 | ||
| 1594323 / 1562500 | | [[Tel:1594323 / 1562500|1594323 / 1562500]] | ||
| {{monzo| -2 13 -8 }} | |{{monzo| -2 13 -8 }} | ||
| 34.905 | | 34.905 | ||
|- | |- | ||
| Line 362: | Line 259: | ||
| Satritrigu | | Satritrigu | ||
| sg<sup>9</sup>3 | | sg<sup>9</sup>3 | ||
| 1990656 / 1953125 | | [[Tel:1990656 / 1953125|1990656 / 1953125]] | ||
| {{monzo| 13 5 -9 }} | |{{monzo| 13 5 -9 }} | ||
| 32.952 | | 32.952 | ||
|- | |- | ||
| [[ampersand]], Ampersand's comma | |[[ampersand]], Ampersand's comma | ||
| Lala-tribiyo | | Lala-tribiyo | ||
| LLy<sup>6</sup>-3 | | LLy<sup>6</sup>-3 | ||
| 34171875 / 33554432 | | [[Tel:34171875 / 33554432|34171875 / 33554432]] | ||
| {{monzo| -25 7 6 }} | |{{monzo| -25 7 6 }} | ||
| 31.567 | | 31.567 | ||
|- | |- | ||
| Line 377: | Line 274: | ||
| ssg<sup>10</sup>4 | | ssg<sup>10</sup>4 | ||
| 268435456 / 263671875 | | 268435456 / 263671875 | ||
| {{monzo| 28 -3 -10 }} | |{{monzo| 28 -3 -10 }} | ||
| 30.998 | | 30.998 | ||
|} | |} | ||
===[[ | === Often not considered [[5-limit commas]] === | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
! [[Ratio]] | ![[Ratio]] | ||
! [[Monzo]] | ![[Monzo]] | ||
! [[Cents]] | ![[Cents]] | ||
|- | |- | ||
| | | hogzilla | ||
| | | Lala-yoyo | ||
| | | LLyy-2 | ||
| | | [[Tel:4428675 / 4194304|4428675 / 4194304]] | ||
| {{monzo| | |{{monzo| -22 11 2 }} | ||
| | | 94.132 | ||
|- | |- | ||
| | | major chroma, pelogic comma | ||
| | | Layobi | ||
| | | Ly1 | ||
| | |[[135/128|135 / 128]] | ||
| {{monzo| - | |{{monzo| -7 3 1 }} | ||
| 92. | | 92.179 | ||
|- | |- | ||
| | | sasagu | ||
| | | Sasagu | ||
| | | ssg3 | ||
| | | [[Tel:8388608 / 7971615|8388608 / 7971615]] | ||
| {{monzo| - | |{{monzo| 23 -13 -1 }} | ||
| | | 88.271 | ||
|- | |- | ||
| | | bohpier, [[13edt]] comma | ||
| | | Satheyo | ||
| | | sy<sup>13</sup>-2 | ||
| | | [[Tel:1220703125|1220703125]] / [[Tel:1162261467|1162261467]] | ||
| {{monzo| - | |{{monzo| 0 -19 13 }} | ||
| 84. | | 84.933 | ||
|- | |- | ||
| | | ripple | ||
| | | Quingu | ||
| | | g<sup>5</sup>2 | ||
| | | 6561 / 6250 | ||
| {{monzo| | |{{monzo| -1 8 -5 }} | ||
| | | 84.071 | ||
|- | |- | ||
| | | doublewide | ||
| | | Quadbiyo | ||
| | | y<sup>8</sup>-2 | ||
| | | [[Tel:390625 / 373248|390625 / 373248]] | ||
| {{monzo| - | |{{monzo| -9 -6 8 }} | ||
| | | 78.78 | ||
|- | |- | ||
| | | sevond | ||
| | | Sasepyo | ||
| | | sy<sup>7</sup>1 | ||
| | | [[Tel:5000000 / 4782969|5000000 / 4782969]] | ||
| {{monzo| - | |{{monzo| 6 -14 7 }} | ||
| | | 76.826 | ||
|- | |- | ||
| | | nusecond | ||
| | | Legu | ||
| | | g<sup>11</sup>3 | ||
| [[ | | [[Tel:51018336 / 48828125|51018336 / 48828125]] | ||
| {{monzo| | |{{monzo| 5 13 -11 }} | ||
| | | 75.964 | ||
|- | |- | ||
| | | sentinel | ||
| | | Trila-quadyo | ||
| | | L<sup>3</sup>y<sup>4</sup>-3 | ||
| | | [[Tel:8968066875|8968066875]] / [[Tel:8589934592|8589934592]] | ||
| {{monzo| | |{{monzo| -33 15 4 }} | ||
| | | 74.580 | ||
|- | |- | ||
| | | stump | ||
| | | Latriyo | ||
| | | Ly<sup>3</sup>-2 | ||
| | | [[Tel:273375 / 262144|273375 / 262144]] | ||
| {{monzo| - | |{{monzo| -18 7 3 }} | ||
| | | 72.626 | ||
|- | |- | ||
| | | classic chromatic semitone | ||
| | | Yoyo | ||
| | | yy1 | ||
| | |[[25/24|25 / 24]] | ||
| {{monzo| | |{{monzo| -3 -1 2 }} | ||
| | | 70.672 | ||
|- | |- | ||
| | | superpyth, grave minor second | ||
| | | Sayo | ||
| | | sy2 | ||
| | | 20480 / 19683 | ||
| {{monzo| | |{{monzo| 12 -9 1 }} | ||
| | | 68.719 | ||
|- | |- | ||
| | | major diesis, [[648/625|diminished comma]] | ||
| | | Quadgu | ||
| | | g<sup>4</sup>2 | ||
| | |[[648/625|648 / 625]] | ||
| {{monzo| | |{{monzo| 3 4 -4 }} | ||
| | | 62.565 | ||
|- | |- | ||
| | | passion | ||
| | | Saquingu | ||
| | | sg<sup>5</sup>3 | ||
| | | [[Tel:262144 / 253125|262144 / 253125]] | ||
| {{monzo| | |{{monzo| 18 -4 -5 }} | ||
| | | 60.611 | ||
|- | |- | ||
| | | shibboleth | ||
| | | Tritriyo | ||
| | | y<sup>9</sup>-2 | ||
| | | [[Tel:1953125 / 1889568|1953125 / 1889568]] | ||
| {{monzo| | |{{monzo| -5 -10 9 }} | ||
| | | 57.273 | ||
| | |} | ||
| | ===Often considered [[7-limit commas]]=== | ||
| | {| class="wikitable" | ||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
![[Ratio]] | |||
![[Monzo]] | |||
![[Cents]] | |||
|- | |- | ||
| greenwoodma | | greenwoodma | ||
| Line 505: | Line 404: | ||
| rry-2 | | rry-2 | ||
| 405 / 392 | | 405 / 392 | ||
| {{monzo| -3 4 1 -2 }} | |{{monzo| -3 4 1 -2 }} | ||
| 56.482 | | 56.482 | ||
|- | |- | ||
| Line 512: | Line 411: | ||
| | | | ||
| 576460752303423488 / 558545864083284007 | | 576460752303423488 / 558545864083284007 | ||
| {{monzo| 59 0 0 -21 }} | |{{monzo| 59 0 0 -21 }} | ||
| 54.656 | | 54.656 | ||
|- | |- | ||
| Line 518: | Line 417: | ||
| Laru | | Laru | ||
| Lr-2 | | Lr-2 | ||
| [[59049/57344|59049 / 57344]] | |[[59049/57344|59049 / 57344]] | ||
| {{monzo| -13 10 0 -1 }} | |{{monzo| -13 10 0 -1 }} | ||
| 50.724 | | 50.724 | ||
|- | |- | ||
| Line 526: | Line 425: | ||
| | | | ||
| | | | ||
| {{monzo| -200 0 39 39 }} | |{{monzo| -200 0 39 39 }} | ||
| 50.445 | | 50.445 | ||
|- | |- | ||
| Line 533: | Line 432: | ||
| z<sup>3</sup>g<sup>3</sup>3 | | z<sup>3</sup>g<sup>3</sup>3 | ||
| 1029 / 1000 | | 1029 / 1000 | ||
| {{monzo| -3 1 -3 3 }} | |{{monzo| -3 1 -3 3 }} | ||
| 49.492 | | 49.492 | ||
|- | |- | ||
| Line 539: | Line 438: | ||
| Rugu | | Rugu | ||
| rg1 | | rg1 | ||
| [[36/35|36 / 35]] | |[[36/35|36 / 35]] | ||
| {{monzo| 2 2 -1 -1 }} | |{{monzo| 2 2 -1 -1 }} | ||
| 48.77 | | 48.77 | ||
|- | |- | ||
| Line 547: | Line 446: | ||
| | | | ||
| | | | ||
| {{monzo| 18 0 37 -37 }} | |{{monzo| 18 0 37 -37 }} | ||
| 47.049 | | 47.049 | ||
|- | |- | ||
| Line 553: | Line 452: | ||
| Saquinru | | Saquinru | ||
| sr<sup>5</sup>-2 | | sr<sup>5</sup>-2 | ||
| 4194304 / 4084101 | | [[Tel:4194304 / 4084101|4194304 / 4084101]] | ||
| {{monzo| 22 -5 0 -5 }} | |{{monzo| 22 -5 0 -5 }} | ||
| 46.095 | | 46.095 | ||
|- | |- | ||
| Line 561: | Line 460: | ||
| Lz<sup>5</sup>3 | | Lz<sup>5</sup>3 | ||
| 16807 / 16384 | | 16807 / 16384 | ||
| {{monzo| -14 0 0 5 }} | |{{monzo| -14 0 0 5 }} | ||
| 44.13 | | 44.13 | ||
|- | |- | ||
| Line 568: | Line 467: | ||
| Lzyy1 | | Lzyy1 | ||
| 525 / 512 | | 525 / 512 | ||
| {{monzo| -9 1 2 1 }} | |{{monzo| -9 1 2 1 }} | ||
| 43.408 | | 43.408 | ||
|- | |- | ||
| Line 574: | Line 473: | ||
| Lala-quadbizoyo | | Lala-quadbizoyo | ||
| LLz<sup>8</sup>y<sup>8</sup>2 | | LLz<sup>8</sup>y<sup>8</sup>2 | ||
| 2251875390625 / 2199023255552 | | [[Tel:2251875390625|2251875390625]] / [[Tel:2199023255552|2199023255552]] | ||
| {{monzo| -41 0 8 8 }} | |{{monzo| -41 0 8 8 }} | ||
| 41.117 | | 41.117 | ||
|- | |- | ||
| [[Mabilismic clan|mabilisma]] | |[[Mabilismic clan|mabilisma]] | ||
| Latrizo-aquinyo | | Latrizo-aquinyo | ||
| Lz<sup>3</sup>y<sup>5</sup>1 | | Lz<sup>3</sup>y<sup>5</sup>1 | ||
| 1071875 / 1048576 | | [[Tel:1071875 / 1048576|1071875 / 1048576]] | ||
| {{monzo| -20 0 5 3 }} | |{{monzo| -20 0 5 3 }} | ||
| 38.046 | | 38.046 | ||
|- | |- | ||
| Line 588: | Line 487: | ||
| Zozo | | Zozo | ||
| zz2 | | zz2 | ||
| [[49/48|49 / 48]] | |[[49/48|49 / 48]] | ||
| {{monzo| -4 -1 0 2 }} | |{{monzo| -4 -1 0 2 }} | ||
| 35.697 | | 35.697 | ||
|- | |- | ||
| [[Arcturus clan|Arcturus comma]] | |[[Arcturus clan|Arcturus comma]] | ||
| Larutribiyo | | Larutribiyo | ||
| Lry<sup>6</sup>-2 | | Lry<sup>6</sup>-2 | ||
| 15625 / 15309 | | 15625 / 15309 | ||
| {{monzo| 0 -7 6 -1 }} | |{{monzo| 0 -7 6 -1 }} | ||
| 35.371 | | 35.371 | ||
|- | |- | ||
| Line 602: | Line 501: | ||
| Biruyo | | Biruyo | ||
| rryy-2 | | rryy-2 | ||
| [[50/49|50 / 49]] | |[[50/49|50 / 49]] | ||
| {{monzo| 1 0 2 -2 }} | |{{monzo| 1 0 2 -2 }} | ||
| 34.976 | | 34.976 | ||
|- | |- | ||
| Line 609: | Line 508: | ||
| Sepru | | Sepru | ||
| r<sup>7</sup>-4 | | r<sup>7</sup>-4 | ||
| 839808 / 823543 | | [[Tel:839808 / 823543|839808 / 823543]] | ||
| {{monzo| 7 8 0 -7 }} | |{{monzo| 7 8 0 -7 }} | ||
| 33.859 | | 33.859 | ||
|- | |- | ||
| Line 617: | Line 516: | ||
| | | | ||
| | | | ||
| {{monzo| -87 0 0 31 }} | |{{monzo| -87 0 0 31 }} | ||
| 33.603 | | 33.603 | ||
|- | |- | ||
| [[Llywelyn clan|llywelyn comma]] | |[[Llywelyn clan|llywelyn comma]] | ||
| Sasepru-agu | | Sasepru-agu | ||
| sr<sup>7</sup>g-3 | | sr<sup>7</sup>g-3 | ||
| [[4194304/4117715|4194304 / 4117715]] | |[[4194304/4117715|4194304 / 4117715]] | ||
| {{monzo| 22 0 -1 -7 }} | |{{monzo| 22 0 -1 -7 }} | ||
| 31.905 | | 31.905 | ||
|- | |- | ||
| Line 631: | Line 530: | ||
| | | | ||
| | | | ||
| {{monzo| 118 0 -23 -23 }} | |{{monzo| 118 0 -23 -23 }} | ||
| 31.789 | | 31.789 | ||
|} | |} | ||
===[[ | ===Often not considered [[7-limit commas]]=== | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
! Ratio | ![[Ratio]] | ||
! Monzo | ![[Monzo]] | ||
! Cents | ![[Cents]] | ||
|- | |||
| hexadecatone comma, 16-7-comma | |||
| Sasa-quadquadrubi | |||
| ssr<sup>16</sup>-6 | |||
| [[Tel:35184372088832|35184372088832]] / [[Tel:33232930569601|33232930569601]] | |||
|{{monzo| 45 0 0 -16 }} | |||
| 98.785 | |||
|- | |||
| 29-7/5-comma | |||
| Twenezogu | |||
| | |||
| | |||
|{{monzo| -14 0 -29 29 }} | |||
| 92.854 | |||
|- | |||
| 47-35-comma | |||
| Thela-fosezoyo | |||
| | |||
| | |||
|{{monzo| -241 0 47 47 }} | |||
| 91.562 | |||
|- | |||
| septimal minor semitone | |||
| Zogu | |||
| zg2 | |||
| 21 / 20 | |||
|{{monzo| -2 1 -1 1 }} | |||
| 84.467 | |||
|- | |||
| 39-7/5-comma | |||
| Thetriruyo | |||
| | |||
| | |||
|{{monzo| 19 0 39 -39 }} | |||
| 82.024 | |||
|- | |||
| laruru negative 2nd | |||
| Laruru | |||
| Lrr-2 | |||
| 6561 / 6272 | |||
|{{monzo| -7 8 0 -2 }} | |||
| 77.988 | |||
|- | |||
| 36-7-comma | |||
| Quinla-quadtritrizo | |||
| | |||
| | |||
|{{monzo| -101 0 0 36 }} | |||
| 77.733 | |||
|- | |||
|[[Ed7/4|ED7/4]] microdiatonic comma | |||
| Zozotrigu | |||
| zzg<sup>3</sup>3 | |||
|[[392/375|392 / 375]] | |||
|{{monzo| 3 -1 -3 2 }} | |||
| 76.756 | |||
|- | |||
| bapbo | |||
| Rurugu | |||
| rrg1 | |||
| 256 / 245 | |||
|{{monzo| 8 0 -1 -2 }} | |||
| 76.034 | |||
|- | |||
| 18-21-comma | |||
| Quinla-tritribizo | |||
| | |||
| | |||
|{{monzo| -79 18 0 18 }} | |||
| 74.056 | |||
|- | |||
| 15-35-comma | |||
| Quadsa-quintrirugu | |||
| | |||
| | |||
|{{monzo| 77 0 -15 -15 }} | |||
| 72.906 | |||
|- | |||
|<strike>slendro integer cents comma</strike> | |||
| | |||
| | |||
| | |||
|{{monzo| 1123 0 0 -400 }} | |||
| 69.637 | |||
|- | |- | ||
| | | 47-7-comma | ||
| | | Sepsa-foseru | ||
| | | | ||
| | | | ||
| {{monzo| | |{{monzo| 132 0 0 -47 }} | ||
| | | 65.182 | ||
|- | |- | ||
| | | 33-21-comma | ||
| | | Tritrisa-letriru | ||
| | | | ||
| | | | ||
| {{monzo| | |{{monzo| 145 -33 0 -33 }} | ||
| | | 64.23 | ||
|- | |- | ||
| | | Archytas' 1/3-tone | ||
| | | Zo | ||
| | | z2 | ||
| | | 28 / 27 | ||
| {{monzo| - | |{{monzo| 2 -3 0 1 }} | ||
| | | 62.961 | ||
|- | |- | ||
| | | 31-7/5-comma | ||
| | | Thiwezogu | ||
| | | | ||
| | | | ||
| {{monzo| - | |{{monzo| -15 0 -31 31 }} | ||
| | | 57.878 | ||
|} | |||
===Often considered [[11-limit commas]]=== | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
|- | |- | ||
| undecimal 1/4-tone, al-Farabi's 1/4-tone | | undecimal 1/4-tone, al-Farabi's 1/4-tone | ||
| Line 675: | Line 667: | ||
| 1o1 | | 1o1 | ||
| 33 / 32 | | 33 / 32 | ||
| {{monzo| -5 1 0 0 1 }} | |{{monzo| -5 1 0 0 1 }} | ||
| 53.273 | | 53.273 | ||
|- | |- | ||
| Line 682: | Line 674: | ||
| 1or<sup>3</sup>-2 | | 1or<sup>3</sup>-2 | ||
| 352 / 343 | | 352 / 343 | ||
| {{monzo| 5 0 0 -3 1 }} | |{{monzo| 5 0 0 -3 1 }} | ||
| 44.84 | | 44.84 | ||
|- | |- | ||
| Line 689: | Line 681: | ||
| 1uy1 | | 1uy1 | ||
| 45 / 44 | | 45 / 44 | ||
| {{monzo| -2 2 1 0 -1 }} | |{{monzo| -2 2 1 0 -1 }} | ||
| 38.906 | | 38.906 | ||
|- | |- | ||
| Line 696: | Line 688: | ||
| s1u2 | | s1u2 | ||
| 8192 / 8019 | | 8192 / 8019 | ||
| {{monzo| 13 -6 0 0 -1 }} | |{{monzo| 13 -6 0 0 -1 }} | ||
| 36.952 | | 36.952 | ||
|- | |- | ||
| Line 702: | Line 694: | ||
| Sasa-thelu | | Sasa-thelu | ||
| ss1u<sup>13</sup>4 | | ss1u<sup>13</sup>4 | ||
| 35184372088832 / 34522712143931 | | [[Tel:35184372088832|35184372088832]] / [[Tel:34522712143931|34522712143931]] | ||
| {{monzo| 45 0 0 0 -13 }} | |{{monzo| 45 0 0 0 -13 }} | ||
| 32.867 | | 32.867 | ||
|- | |- | ||
| Line 710: | Line 702: | ||
| 1oy1 | | 1oy1 | ||
| 55 / 54 | | 55 / 54 | ||
| {{monzo| -1 -3 1 0 1 }} | |{{monzo| -1 -3 1 0 1 }} | ||
| 31.767 | | 31.767 | ||
|- | |- | ||
| Line 717: | Line 709: | ||
| | | | ||
| | | | ||
| {{monzo| -83 0 0 0 24 }} | |{{monzo| -83 0 0 0 24 }} | ||
| 31.631 | | 31.631 | ||
|- | |- | ||
| Line 724: | Line 716: | ||
| 1uzg2 | | 1uzg2 | ||
| 56 / 55 | | 56 / 55 | ||
| {{monzo| 3 0 -1 1 -1 }} | |{{monzo| 3 0 -1 1 -1 }} | ||
| 31.194 | | 31.194 | ||
|} | |} | ||
===[[ | ===Often not considered [[11-limit commas]]=== | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
| Line 736: | Line 728: | ||
! Cents | ! Cents | ||
|- | |- | ||
| | | 11-cycle major seventh prote, 35-11-comma | ||
| | | Quinla-sepquinlo | ||
| | | | ||
| [[ | | | ||
| {{monzo| | |{{monzo| -121 0 0 0 35 }} | ||
| | | 96.128 | ||
|- | |||
| undecimal minor semitone | |||
| Loru | |||
| 1or1 | |||
| 22 / 21 | |||
|{{monzo| 1 -1 0 -1 1 }} | |||
| 80.537 | |||
|- | |||
| 11-cycle chroma, 11-11-comma | |||
| Lala-lelo | |||
| LL1o<sup>11</sup>-3 | |||
| [[Tel:285311670611|285311670611]] / [[Tel:274877906944|274877906944]] | |||
|{{monzo| -38 0 0 0 11 }} | |||
| 64.497 | |||
|- | |||
| lalu unison | |||
| Lalu | |||
| L1u1 | |||
| 729 / 704 | |||
|{{monzo| -6 6 0 0 -1 }} | |||
| 60.412 | |||
|- | |- | ||
| | | colspan="6" | undecimal 1/4-tone, al-Farabi's 1/4-tone | ||
| | |} | ||
| | |||
| [[ | ===Often considered [[13-limit commas]]=== | ||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
|- | |- | ||
| tridecimal 1/4-tone, Hunt minor submediant comma | | tridecimal 1/4-tone, Hunt minor submediant comma | ||
| Latho | | Latho | ||
| L3o1 | | L3o1 | ||
| [[1053/1024|1053 / 1024]] | |[[1053/1024|1053 / 1024]] | ||
| {{monzo| -10 4 0 0 0 1 }} | |{{monzo| -10 4 0 0 0 1 }} | ||
| 48.348 | | 48.348 | ||
|- | |- | ||
| Line 761: | Line 778: | ||
| 3uy1 | | 3uy1 | ||
| 40 / 39 | | 40 / 39 | ||
| {{monzo| 3 -1 1 0 0 -1 }} | |{{monzo| 3 -1 1 0 0 -1 }} | ||
| 43.831 | | 43.831 | ||
|- | |- | ||
| Line 767: | Line 784: | ||
| Latribitho | | Latribitho | ||
| L3o<sup>6</sup>2 | | L3o<sup>6</sup>2 | ||
| 4826809 / 4718592 | | [[Tel:4826809 / 4718592|4826809 / 4718592]] | ||
| {{monzo| -19 -2 0 0 0 6 }} | |{{monzo| -19 -2 0 0 0 6 }} | ||
| 39.256 | | 39.256 | ||
|} | |} | ||
===[[ | ===Often not considered [[13-limit commas]]=== | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
| Line 779: | Line 796: | ||
! Cents | ! Cents | ||
|- | |- | ||
| | | large tridecimal 1/3-tone | ||
| | | Thogugu | ||
| | | 3ogg2 | ||
| | |[[26/25|26 / 25]] | ||
| {{monzo| 1 2 0 0 | |{{monzo| 1 0 -2 0 0 1 }} | ||
| | | 67.9 | ||
|- | |- | ||
| | | small tridecimal 1/3-tone | ||
| | | Thu | ||
| | | 3u1 | ||
| | |[[27/26|27 / 26]] | ||
| {{monzo| - | |{{monzo| -1 3 0 0 0 -1 }} | ||
| | | 65.337 | ||
|} | |||
===Often considered [[17-limit commas]]=== | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
|- | |- | ||
| large septendecimal 1/4-tone | | large septendecimal 1/4-tone | ||
| Line 797: | Line 822: | ||
| 17o1u2 | | 17o1u2 | ||
| 34 / 33 | | 34 / 33 | ||
| {{monzo| 1 -1 0 0 -1 0 1 }} | |{{monzo| 1 -1 0 0 -1 0 1 }} | ||
| 51.682 | | 51.682 | ||
|- | |- | ||
| Line 804: | Line 829: | ||
| 17uzy1 | | 17uzy1 | ||
| 35 / 34 | | 35 / 34 | ||
| {{monzo| -1 0 1 1 0 0 -1 }} | |{{monzo| -1 0 1 1 0 0 -1 }} | ||
| 50.184 | | 50.184 | ||
|- | |- | ||
| Line 810: | Line 835: | ||
| Sasa-lesu | | Sasa-lesu | ||
| ss17u<sup>11</sup>-5 | | ss17u<sup>11</sup>-5 | ||
| 35184372088832 / 34271896307633 | | [[Tel:35184372088832|35184372088832]] / [[Tel:34271896307633|34271896307633]] | ||
| {{monzo| 45 0 0 0 0 0 -11 }} | |{{monzo| 45 0 0 0 0 0 -11 }} | ||
| 45.49 | | 45.49 | ||
|- | |- | ||
| Line 818: | Line 843: | ||
| 17ogg2 | | 17ogg2 | ||
| 51 / 50 | | 51 / 50 | ||
| {{monzo| -1 1 -2 0 0 0 1 }} | |{{monzo| -1 1 -2 0 0 0 1 }} | ||
| 34.283 | | 34.283 | ||
|- | |- | ||
| Line 825: | Line 850: | ||
| 17u3o1 | | 17u3o1 | ||
| 52 / 51 | | 52 / 51 | ||
| {{monzo| 2 -1 0 0 0 1 -1 }} | |{{monzo| 2 -1 0 0 0 1 -1 }} | ||
| 33.617 | | 33.617 | ||
|- | |- | ||
| Line 832: | Line 857: | ||
| | | | ||
| | | | ||
| {{monzo| 139 0 0 0 0 0 -34 }} | |{{monzo| 139 0 0 0 0 0 -34 }} | ||
| 31.516 | | 31.516 | ||
|} | |} | ||
===[[ | ===Often not considered [[17-limit commas]]=== | ||
{| class="wikitable" | {| class="wikitable" | ||
! Name(s) | ! Name(s) | ||
| Line 844: | Line 869: | ||
! Cents | ! Cents | ||
|- | |- | ||
| | | small septendeciml semitone, Arabic lute index finger | ||
| | | Su | ||
| | | 17u1 | ||
| | | 18 / 17 | ||
| {{monzo| | |{{monzo| 1 2 0 0 0 0 -1 }} | ||
| | | 98.955 | ||
|- | |- | ||
| | | 12 semitone comma | ||
| | | Lala-quadtriso | ||
| | | LL17o<sup>12</sup>6 | ||
| | | 582622237229761 / [[Tel:562949953421312|562949953421312]] | ||
| {{monzo| | |{{monzo| -49 0 0 0 0 0 12 }} | ||
| | | 59.465 | ||
|} | |||
===Often considered [[19-limit commas]]=== | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
|- | |- | ||
| nutho unison | | nutho unison | ||
| Line 862: | Line 896: | ||
| 19u3o1 | | 19u3o1 | ||
| 39 / 38 | | 39 / 38 | ||
| {{monzo| -1 1 0 0 0 1 0 -1 }} | |{{monzo| -1 1 0 0 0 1 0 -1 }} | ||
| 44.97 | | 44.97 | ||
|- | |- | ||
| Line 869: | Line 903: | ||
| 19or1 | | 19or1 | ||
| 57 / 56 | | 57 / 56 | ||
| {{monzo| -3 1 0 -1 0 0 0 1 }} | |{{monzo| -3 1 0 -1 0 0 0 1 }} | ||
| 30.642 | | 30.642 | ||
|} | |||
[[Category:Commas]] | |||
[[Category:Medium commas| ]] | |||
===Often not considered [[19-limit commas]]=== | |||
{| class="wikitable" | |||
! Name(s) | |||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | |||
! Ratio | |||
! Monzo | |||
! Cents | |||
|- | |||
| large undevicesimal semitone | |||
| Ino | |||
| 19o2 | |||
| 19 / 18 | |||
|{{monzo| -1 -2 0 0 0 0 0 1 }} | |||
| 93.603 | |||
|- | |||
| small undevicesimal semitone | |||
| Nuyo | |||
| 19uy1 | |||
| 20 / 19 | |||
|{{monzo| 2 0 1 0 0 0 0 -1 }} | |||
| 88.801 | |||
|} | |} | ||
Revision as of 02:28, 19 January 2023
A medium comma is a comma whose size is approximately between 30 and 100 cents. These commas are easily perceptible.
For commas over 100 cents, see Large comma; for commas under 30 cents, see Small comma; for such under 3.5 cents see Unnoticeable comma.
Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
List of commas, by prime limit
Often considered 3-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 229-comma | Wa-229 | w-229 | [363 -229⟩ | 52.305 | |
| 77-comma | Wa-77 | w-77 | [-122 77⟩ | 50.535 | |
| 29-comma | Wa-29 | w-29 | [[1]] / [[2]] | [46 -29⟩ | 43.305 |
| 277-comma | Wa-277 | w-277 | [-439 277⟩ | 41.535 | |
| 224-comma | Wa-224 | w-224 | [-355 224⟩ | 37.920 | |
| 135-comma | Wa-135 | w-135 | [214 -135⟩ | 36.075 | |
| 171-comma | Wa-171 | w-171 | [-271 171⟩ | 34.305 | |
| 118-comma | Wa-118 | w-118 | [-187 118⟩ | 30.690 | |
Often not considered 3-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| limma, Pythagorean minor second | Sawa | sw2 | 256 / 243 | [8 -5⟩ | 90.225 |
| 301-comma | Wa-301 | w-301 | [-477 301⟩ | 88.455 | |
| 248-comma | Wa-248 | w-248 | [-393 248⟩ | 84.840 | |
| 111-comma | Wa-111 | w-111 | [176 -111⟩ | 82.995 | |
| 142-comma | Wa-142 | w-142 | [-225 142⟩ | 77.610 | |
| 217-comma | Wa-217 | w-217 | [344 -217⟩ | 75.765 | |
| 89-comma | Wa-89 | w-89 | [-141 89⟩ | 73.995 | |
| 17-comma | Wa-17 | ssw3 | 134217728 / 129140163 | [27 -17⟩ | 66.765 |
| 289-comma | Wa-289 | w-289 | [-458 289⟩ | 64.995 | |
| 70-comma | Wa-70 | w-70 | [111 -70⟩ | 63.150 | |
| 183-comma | Wa-183 | w-183 | [-290 183⟩ | 57.765 | |
Often considered 5-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| mynic | Quinbigu | g103 | [/ 9765625|10077696 / 9765625] | [9 9 -10⟩ | 54.458 |
| tritonic | Lala-quinyo | LLy5-3 | 553584375 / 536870912 | [-29 11 5⟩ | 53.074 |
| negri comma, double augmentation diesis | Laquadyo | Ly4-2 | 16875 / 16384 | [-14 3 4⟩ | 51.120 |
| porcupine comma, maximal diesis | Triyo | y31 | 250 / 243 | [1 -5 3⟩ | 49.166 |
| mowgli, 15edt comma | Laquintrigu | Lg153 | [[3]] / [[4]] | [0 22 -15⟩ | 48.304 |
| immunity | Sasa-yoyo | ssyy2 | [/ 1594323|1638400 / 1594323] | [16 -13 2⟩ | 47.212 |
| lalagu comma | Lalagu | LLg-2 | [/ 41943040|43046721 / 41943040] | [-23 16 -1⟩ | 44.966 |
| diesis, augmented comma | Trigu | g32 | 128 / 125 | [7 0 -3⟩ | 41.059 |
| wizard | Lala-quadtriyo | LLy12-4 | [[5]] / [[6]] | [-31 2 12⟩ | 39.675 |
| sycamore | Laleyo | Ly11-3 | [/ 47775744|48828125 / 47775744] | [-16 -6 11⟩ | 37.721 |
| absurdity | Lala-sepgu | LLg71 | [[7]] / [[8]] | [-17 21 -7⟩ | 36.859 |
| fifive | Saquinbiyo | sy10-2 | [/ 9565938|9765625 / 9565938] | [-1 -14 10⟩ | 35.767 |
| unicorn | Laquadbigu | Lg82 | [/ 1562500|1594323 / 1562500] | [-2 13 -8⟩ | 34.905 |
| valentine comma | Satritrigu | sg93 | [/ 1953125|1990656 / 1953125] | [13 5 -9⟩ | 32.952 |
| ampersand, Ampersand's comma | Lala-tribiyo | LLy6-3 | [/ 33554432|34171875 / 33554432] | [-25 7 6⟩ | 31.567 |
| mabila comma | Sasa-quinbigu | ssg104 | 268435456 / 263671875 | [28 -3 -10⟩ | 30.998 |
Often not considered 5-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| hogzilla | Lala-yoyo | LLyy-2 | [/ 4194304|4428675 / 4194304] | [-22 11 2⟩ | 94.132 |
| major chroma, pelogic comma | Layobi | Ly1 | 135 / 128 | [-7 3 1⟩ | 92.179 |
| sasagu | Sasagu | ssg3 | [/ 7971615|8388608 / 7971615] | [23 -13 -1⟩ | 88.271 |
| bohpier, 13edt comma | Satheyo | sy13-2 | [[9]] / [[10]] | [0 -19 13⟩ | 84.933 |
| ripple | Quingu | g52 | 6561 / 6250 | [-1 8 -5⟩ | 84.071 |
| doublewide | Quadbiyo | y8-2 | [/ 373248|390625 / 373248] | [-9 -6 8⟩ | 78.78 |
| sevond | Sasepyo | sy71 | [/ 4782969|5000000 / 4782969] | [6 -14 7⟩ | 76.826 |
| nusecond | Legu | g113 | [/ 48828125|51018336 / 48828125] | [5 13 -11⟩ | 75.964 |
| sentinel | Trila-quadyo | L3y4-3 | [[11]] / [[12]] | [-33 15 4⟩ | 74.580 |
| stump | Latriyo | Ly3-2 | [/ 262144|273375 / 262144] | [-18 7 3⟩ | 72.626 |
| classic chromatic semitone | Yoyo | yy1 | 25 / 24 | [-3 -1 2⟩ | 70.672 |
| superpyth, grave minor second | Sayo | sy2 | 20480 / 19683 | [12 -9 1⟩ | 68.719 |
| major diesis, diminished comma | Quadgu | g42 | 648 / 625 | [3 4 -4⟩ | 62.565 |
| passion | Saquingu | sg53 | [/ 253125|262144 / 253125] | [18 -4 -5⟩ | 60.611 |
| shibboleth | Tritriyo | y9-2 | [/ 1889568|1953125 / 1889568] | [-5 -10 9⟩ | 57.273 |
Often considered 7-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| greenwoodma | Ruruyo | rry-2 | 405 / 392 | [-3 4 1 -2⟩ | 56.482 |
| 21-7-comma | Trisa-septriru | 576460752303423488 / 558545864083284007 | [59 0 0 -21⟩ | 54.656 | |
| Harrison's comma | Laru | Lr-2 | 59049 / 57344 | [-13 10 0 -1⟩ | 50.724 |
| 39-35-comma | Lela-thetrizoyo | [-200 0 39 39⟩ | 50.445 | ||
| keega | Trizogu | z3g33 | 1029 / 1000 | [-3 1 -3 3⟩ | 49.492 |
| septimal 1/4-tone | Rugu | rg1 | 36 / 35 | [2 2 -1 -1⟩ | 48.77 |
| 37-7/5-comma | Thiseruyo | [18 0 37 -37⟩ | 47.049 | ||
| 5-21-comma | Saquinru | sr5-2 | [/ 4084101|4194304 / 4084101] | [22 -5 0 -5⟩ | 46.095 |
| cloudy | Laquinzo | Lz53 | 16807 / 16384 | [-14 0 0 5⟩ | 44.13 |
| Avicennma, Avicenna's enharmonic diesis | Lazoyoyo | Lzyy1 | 525 / 512 | [-9 1 2 1⟩ | 43.408 |
| 8-35-comma | Lala-quadbizoyo | LLz8y82 | [[13]] / [[14]] | [-41 0 8 8⟩ | 41.117 |
| mabilisma | Latrizo-aquinyo | Lz3y51 | [/ 1048576|1071875 / 1048576] | [-20 0 5 3⟩ | 38.046 |
| slendro diesis | Zozo | zz2 | 49 / 48 | [-4 -1 0 2⟩ | 35.697 |
| Arcturus comma | Larutribiyo | Lry6-2 | 15625 / 15309 | [0 -7 6 -1⟩ | 35.371 |
| jubilisma, tritonic diesis | Biruyo | rryy-2 | 50 / 49 | [1 0 2 -2⟩ | 34.976 |
| eric | Sepru | r7-4 | [/ 823543|839808 / 823543] | [7 8 0 -7⟩ | 33.859 |
| German sixth comma | Quadla-thiwezo | [-87 0 0 31⟩ | 33.603 | ||
| llywelyn comma | Sasepru-agu | sr7g-3 | 4194304 / 4117715 | [22 0 -1 -7⟩ | 31.905 |
| 23-35-comma | Sepsa-twetherugu | [118 0 -23 -23⟩ | 31.789 | ||
Often not considered 7-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| hexadecatone comma, 16-7-comma | Sasa-quadquadrubi | ssr16-6 | [[15]] / [[16]] | [45 0 0 -16⟩ | 98.785 |
| 29-7/5-comma | Twenezogu | [-14 0 -29 29⟩ | 92.854 | ||
| 47-35-comma | Thela-fosezoyo | [-241 0 47 47⟩ | 91.562 | ||
| septimal minor semitone | Zogu | zg2 | 21 / 20 | [-2 1 -1 1⟩ | 84.467 |
| 39-7/5-comma | Thetriruyo | [19 0 39 -39⟩ | 82.024 | ||
| laruru negative 2nd | Laruru | Lrr-2 | 6561 / 6272 | [-7 8 0 -2⟩ | 77.988 |
| 36-7-comma | Quinla-quadtritrizo | [-101 0 0 36⟩ | 77.733 | ||
| ED7/4 microdiatonic comma | Zozotrigu | zzg33 | 392 / 375 | [3 -1 -3 2⟩ | 76.756 |
| bapbo | Rurugu | rrg1 | 256 / 245 | [8 0 -1 -2⟩ | 76.034 |
| 18-21-comma | Quinla-tritribizo | [-79 18 0 18⟩ | 74.056 | ||
| 15-35-comma | Quadsa-quintrirugu | [77 0 -15 -15⟩ | 72.906 | ||
| [1123 0 0 -400⟩ | 69.637 | ||||
| 47-7-comma | Sepsa-foseru | [132 0 0 -47⟩ | 65.182 | ||
| 33-21-comma | Tritrisa-letriru | [145 -33 0 -33⟩ | 64.23 | ||
| Archytas' 1/3-tone | Zo | z2 | 28 / 27 | [2 -3 0 1⟩ | 62.961 |
| 31-7/5-comma | Thiwezogu | [-15 0 -31 31⟩ | 57.878 | ||
Often considered 11-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| undecimal 1/4-tone, al-Farabi's 1/4-tone | Ilo | 1o1 | 33 / 32 | [-5 1 0 0 1⟩ | 53.273 |
| sterno | Lotriru | 1or3-2 | 352 / 343 | [5 0 0 -3 1⟩ | 44.84 |
| undecimal 1/5-tone | Luyo | 1uy1 | 45 / 44 | [-2 2 1 0 -1⟩ | 38.906 |
| Hunt flat 5 comma | Salu | s1u2 | 8192 / 8019 | [13 -6 0 0 -1⟩ | 36.952 |
| the Igs boson, 13-11-comma | Sasa-thelu | ss1u134 | [[17]] / [[18]] | [45 0 0 0 -13⟩ | 32.867 |
| telepathma | Loyo | 1oy1 | 55 / 54 | [-1 -3 1 0 1⟩ | 31.767 |
| Hunt 11-cycle comma | Trila-quadtribilo | [-83 0 0 0 24⟩ | 31.631 | ||
| undecimal diesis | Luzogu | 1uzg2 | 56 / 55 | [3 0 -1 1 -1⟩ | 31.194 |
Often not considered 11-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 11-cycle major seventh prote, 35-11-comma | Quinla-sepquinlo | [-121 0 0 0 35⟩ | 96.128 | ||
| undecimal minor semitone | Loru | 1or1 | 22 / 21 | [1 -1 0 -1 1⟩ | 80.537 |
| 11-cycle chroma, 11-11-comma | Lala-lelo | LL1o11-3 | [[19]] / [[20]] | [-38 0 0 0 11⟩ | 64.497 |
| lalu unison | Lalu | L1u1 | 729 / 704 | [-6 6 0 0 -1⟩ | 60.412 |
| undecimal 1/4-tone, al-Farabi's 1/4-tone | |||||
Often considered 13-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| tridecimal 1/4-tone, Hunt minor submediant comma | Latho | L3o1 | 1053 / 1024 | [-10 4 0 0 0 1⟩ | 48.348 |
| tridecimal minor diesis | Thuyo | 3uy1 | 40 / 39 | [3 -1 1 0 0 -1⟩ | 43.831 |
| astburyp | Latribitho | L3o62 | [/ 4718592|4826809 / 4718592] | [-19 -2 0 0 0 6⟩ | 39.256 |
Often not considered 13-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| large tridecimal 1/3-tone | Thogugu | 3ogg2 | 26 / 25 | [1 0 -2 0 0 1⟩ | 67.9 |
| small tridecimal 1/3-tone | Thu | 3u1 | 27 / 26 | [-1 3 0 0 0 -1⟩ | 65.337 |
Often considered 17-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| large septendecimal 1/4-tone | Solu | 17o1u2 | 34 / 33 | [1 -1 0 0 -1 0 1⟩ | 51.682 |
| small septendecimal 1/4-tone | Suzoyo | 17uzy1 | 35 / 34 | [-1 0 1 1 0 0 -1⟩ | 50.184 |
| 11 semitone comma | Sasa-lesu | ss17u11-5 | [[21]] / [[22]] | [45 0 0 0 0 0 -11⟩ | 45.49 |
| large septendecimal 1/6-tone, 17th-partial chroma | Sogugu | 17ogg2 | 51 / 50 | [-1 1 -2 0 0 0 1⟩ | 34.283 |
| small septendecimal 1/6-tone | Sutho | 17u3o1 | 52 / 51 | [2 -1 0 0 0 1 -1⟩ | 33.617 |
| Hunt 17-cycle comma | [139 0 0 0 0 0 -34⟩ | 31.516 | |||
Often not considered 17-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| small septendeciml semitone, Arabic lute index finger | Su | 17u1 | 18 / 17 | [1 2 0 0 0 0 -1⟩ | 98.955 |
| 12 semitone comma | Lala-quadtriso | LL17o126 | 582622237229761 / [[23]] | [-49 0 0 0 0 0 12⟩ | 59.465 |
Often considered 19-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| nutho unison | Nutho | 19u3o1 | 39 / 38 | [-1 1 0 0 0 1 0 -1⟩ | 44.97 |
| noru unison | Noru | 19or1 | 57 / 56 | [-3 1 0 -1 0 0 0 1⟩ | 30.642 |
Often not considered 19-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| large undevicesimal semitone | Ino | 19o2 | 19 / 18 | [-1 -2 0 0 0 0 0 1⟩ | 93.603 |
| small undevicesimal semitone | Nuyo | 19uy1 | 20 / 19 | [2 0 1 0 0 0 0 -1⟩ | 88.801 |