Small comma: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 268651670 - Original comment: **
7-limit commas: 1500625/1492992 is simply the 7-limit comma of uniwiz
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-26 03:02:47 UTC</tt>.<br>
: The original revision id was <tt>268651670</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">==Definition==


A **comma** is a small interval that occurs in Just intonation, between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is //[[tempering out|tempered out]]//, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms.
For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas under 3.5 cents in size, see [[Unnoticeable comma]].  


==List of commas, by prime limit==
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 [[Xenharmonic Wiki: Conventions|convention]] elsewhere on the wiki.
===3-limit commas===
[[256_243|256 / 243]] = |8 -5&gt;: limma or Pythagorean minor second (90.225 [[cent]]s)
[[2187_2048|2187 / 2048]] = |-11 7&gt;: apotome (113.685 cents)
531441_524288|531441 / 524288 = |-19 12&gt;: [[Pythagorean comma]] (23.460 cents)
134217728 / 129140163 = |27 -17&gt;: [[17-comma]] (66.765 cents)
70368744177664 / 68630377364883 = |46 -29&gt;: [[29-comma]] (43.305 cents)
36893488147419103232 / 36472996377170786403 = |65 -41&gt;: [[41-comma]] (19.845 cents)
19383245667680019896796723 / 19342813113834066795298816 = |-84 53&gt;: [[Mercator's comma]], 53-comma (3.615 cents)
|485 -306&gt;: [[Sasktel comma]] (1.770 cents)
|-1054 665&gt;: [[Satanic comma]] (0.076 cents)


===5-limit commas===
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.  
[[135_128|135 / 128]] = |-7 3 1&gt;: [[major chroma]], [[major limma]], [[pelogic comma]] (92.179 [[cent]]s)
5000000 / 4782969 = |6 -14 7&gt;: sevond (76.826 cents)
[[25_24|25 / 24]] = |-3 -1 2&gt;: chromatic semitone (70.672 cents)
20480 / 19683 = |12 -9 1&gt;: grave minor second (68.719 cents)
[[648_625|648 / 625]] = |3 4 -4&gt;: major diesis, diminished comma (62.565 cents)
1953125 / 1889568 |-5 -10 9&gt;: shibboleth (57.273 cents)
16875 / 16384 = |-14 3 4&gt;: [[negri comma]], double augmentation diesis (51.120 cents)
[[250_243|250 / 243]] = |1 -5 3&gt;: maximal diesis, porcupine comma (49.166 cents)
1638400 / 1594323 = |16 -13 2&gt;: immunity (47.212 cents)
[[128_125|128 / 125]] = |7 0 -3&gt;: diesis, augmented comma (41.059 cents)
9765625 / 9565938 = |-1 -14 10&gt;: fifive (35.767 cents)
1594323 / 1562500 = |-2 13 -8&gt;: unicorn (34.905 cents)
1990656 / 1953125 = |13 5 -9&gt;: valensixthtone (32.952 cents)
34171875 / 33554432 = |-25 7 6&gt;: [[ampersand]], Ampersand's comma (31.567 cents)
3125 / 3072 = |-10 -1 5&gt; small diesis, [[magic comma]] (29.614 cents)
20000 / 19683 = |5 -9 4&gt;: minimal diesis, [[tetracot comma]] (27.660 cents)
131072000 / 129140163 = |20 -17 3&gt; roda (25.706 cents)
[[81_80|81 / 80]] = |-4 4 -1&gt;: syntonic comma, Didymos comma, meantone comma (21.506 cents)
2048 / 2025 = |11 -4 -2&gt;: [[diaschisma]] (19.553 cents)
67108864 / 66430125 = |26 -12 -3&gt;: [[misty comma]] (17.599 cents)
129140163 / 128000000 = |-13 17 -6&gt;: [[graviton]], the [[Gravity family|gravity]] comma (15.353 cents)
78732 / 78125 = |2 9 -7&gt;: medium semicomma, [[sensipent comma]] (13.399 cents)
393216 / 390625 = |17 1 -8&gt;: [[Wuerschmidt comma]] (11.445 cents)
2109375 / 2097152 = |-21 3 7&gt;: [[semicomma]], Fokker comma (10.061 cents)
|32 -7 -9&gt;: [[escapade comma]] (9.492 cents)
15625 / 15552 = |-6 -5 6&gt;: [[kleisma]], semicomma majeur (8.107 cents)
|-44 -3 21&gt;: [[mutt comma]] (6.723 cents)
1600000 / 1594323 = |9 -13 5&gt;: [[amity comma]] (6.154 cents)
|8 14 -13&gt;: [[parakleisma]] (5.292 cents)
|-29 -11 20&gt;: gammic comma (4.769 cents)
|24 -21 4&gt;: [[vulture  comma|vulture comma]] (4.200 cents)
6115295232 / 6103515625 = |23 6 -14&gt;: [[vishnuzma]], semisuper (3.338 cents)
|-14 -19 19&gt;: [[enneadeca]], 19-tone-comma (2.816 cents)
|-68 18 17&gt;: vavoom (2.523 cents)
|39 -29 3&gt;: tricot comma (2.246 cents)
[[32805_32768|32805 / 32768]] = |-15 8 1&gt;: schisma (1.954 cents)
|-69 45 -1&gt;: counterschisma (1.661 cents)
|-52 -17 34&gt;: septendecima (1.431 cents)
274877906944 / 274658203125 = |38 -2 -15&gt;: hemithirds comma (1.384 cents)
|-16 35 -17&gt;: minortone comma (1.092 cents)
7629394531250 / 7625597484987 = |1 -27 18&gt;: [[ennealimma]] (0.862 cents)
|91 -12 -31&gt;: astro (0.815 cents)
|-53 10 16&gt;: kwazy (0.569 cents)
|37 25 -33&gt;: whoosh (0.522 cents)
|-36 -52 51&gt;: egads (0.339 cents)
|54 -37 2&gt;: monzisma (0.292 cents)
|-107 47 14&gt;: fortune (0.277 cents)
|144 -22 -47&gt;: gross (0.245 cents)
|-17 62 -35&gt;: senior (0.230 cents)
|71 -99 37&gt;: raider (0.062 cents)
|-90 -15 49&gt;: pirate (0.047 cents)
|161 -84 -12&gt;: atom (0.015 cents)


===7-limit commas===
== List of commas, by prime limit ==
1029 / 1000 = |-3 1 -3 3&gt;: keega (49.492 [[cent]]s)
=== 3-limit commas ===
[[36_35|36 / 35]] = |2 2 -1 -1&gt;: septimal quarter tone (48.770 cents)
{{See also| Table of 3-limit commas }}
525 / 512 = |-9 1 2 1&gt;: avicennma, Avicenna's enharmonic diesis (43.408 cents)
[[49_48|49 / 48]] = |-4 -1 0 2&gt;: slendro diesis (35.597 cents)
[[50_49|50 / 49]] = |1 0 2 -2&gt;: tritonic diesis, jubilisma (34.976 cents)
839808 / 823543 = |7 8 0 -7&gt;: eric (33.859 cents)
686 / 675 = |1 -3 -2 3&gt;: senga (27.985 cents)
[[64_63|64 / 63]] = |6 -2 0 -1&gt;: septimal comma, Archytas' comma ([[http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma|"Leipziger Komma"]]) (27.264 cents)
854296875 / 843308032 = |-10 7 8 -7&gt;: blackjackisma (22.413 cents)
64827 / 64000 = |-9 3 -3 4&gt;: squalentine (22.227 cents)
875 / 864 = |-5 -3 3 1&gt;: keema (21.902 cents)
3125 / 3087 = |0 -2 5 -3&gt;: gariboh (21.181 cents)
2430 / 2401 = |1 5 1 -4&gt;: nuwell (20.785 cents)
50421 / 50000 = |-4 1 -5 5&gt;: trimyna (14.516 cents)
245 / 243 = |0 -5 1 2&gt;: sensamagic (14.191 cents)
[[126_125|126 / 125]] = |1 2 -3 1&gt;: septimal semicomma, starling comma (13.795 cents)
4000 / 3969 = |5 -4 3 -2&gt;: octagar (13.469 cents)
1728 /1715 = |6 3 -1 -3&gt;: orwellisma, orwell comma (13.074 cents)
1029 / 1024 = |-10 1 0 3&gt;: gamelisma (8.433 cents)
321489 / 320000 = |-9 8 -4 2&gt;: varunisma (8.037 cents)
[[225_224|225 / 224]] = |-5 2 2 -1&gt;: septimal kleisma, marvel comma (7.712 cents)
390625 / 388962 = |-1 -4 8 -4&gt;: dimcomp (7.386 cents)
19683 / 19600 = |-4 9 -2 -2&gt;: cataharry (7.316 cents)
16875 / 16807 = |0 3 4 -5&gt;: mirkwai (6.990 cents)
10976 / 10935 = |5 -7 -1 3&gt;: hemimage (6.479 cents)
3136 / 3125 = |6 0 -5 2&gt;: hemimean (6.083 cents)
5120 / 5103 = |10 -6 1 -1&gt;: hemifamity (5.758 cents)
578509309952 / 576650390625 = |11 -10 -10 10&gt;: linus (5.572 cents)
6144 / 6125 = |11 1 -3 -2&gt;: porwell (5.362 cents)
33554432 / 33480743 = |25 -14 0 -1&gt;: garischisma (3.804 cents)
201768035 / 201326592 = |-26 -1 1 9&gt;: wadisma (3.792 cents)
65625 / 65536 = |-16 1 5 1&gt;: horwell (2.349 cents)
703125 / 702464 = |-11 2 7 -3&gt;: meter (1.628 cents)
420175 / 419904 = |-6 -8 2 5&gt;: wizma (1.117 cents)
[[2401_2400|2401 / 2400]] = |-5 -1 -2 4&gt;: breedsma (0.721 cents)
4375 / 4374 = |-1 -7 4 1&gt;: ragisma (0.396 cents)
140737488355328 / 140710042265625 = |47, -7, -7, -7&gt;: akjaysma, 5\7 octave comma, (0.338 cents)
250047 / 250000 = |-4 6 -6 3&gt;: landscape comma (0.325 cents)


===11-limit commas===
{| class="wikitable"
163840 / 161051 = |15 0 1 0 -5&gt;: thuja comma (29.724 cents)
! Name(s)
99 / 98 = |-1 2 0 -2 1&gt;: [[mothwellsmic triad|mothwellsma]] (17.576 cents)
! colspan="2" |[[Color notation/Temperament names|Color name]]
[[100_99|100 / 99]] = |2 -2 2 0 -1&gt;: [[ptolemismic triad|ptolemisma]] (17.399 cents)
! [[Ratio]]
121 / 120 = |-3 -1 -1 0 2&gt;: biyatisma (14.367 cents)
! [[Monzo]]
176 / 175 = |4 0 -2 -1 1&gt;: valinorsma (9.865 cents)
! [[Cents]]
896 / 891 = |7 -4 0 1 -1&gt;: [[pentacircle tetrads|pentacircle]] (9.688 cents)
! Named by
65536 / 65219 = |16 0 0 -2 -3&gt;: orgonisma (8.394 cents)
|-
243 / 242 = |-1 5 0 0 -2&gt;: [[neutral tetrad|rastma]] (7.139 cents)
| 241-comma
[[385_384|385 / 384]] = |-7 -1 1 1 1&gt;: [[keenanismic tetrads|keenanisma]] (4.503 cents)
| Wa-241
441 / 440 = |-3 2 -1 2 -1&gt;: [[werckismic chords|werckisma]] (3.930 cents)
| w-241
1375 / 1372 = |-2 0 3 -3 1&gt;: moctdel (3.781 cents)
|
540 / 539 = |2 3 1 -2 -1&gt;: [[swetismic chords|swetisma]] (3.209 cents)
| {{Monzo| 382 -241 }}
4000 / 3993 = |5 -1 3 0 -3&gt;: wizardharry (3.032 cents)
| 28.845
5632 / 5625 = |9 -2 -4 0 1&gt;: vishdel (2.153 cents)
|
43923 / 43904 = |-7 1 0 -3 4&gt;: hemigail (0.749 cents)
|-
3025 / 3024 = |-4 -3 2 -1 2&gt;: lehmerisma (0.572 cents)
| 65-comma, <br>Pythagorean septimal comma
9801 / 9800 = |-3 4 -2 -2 2&gt;: kalisma, Gauss' comma (0.177 cents)
| Wa-65
151263 / 151250 = |-1 2 -4 5 -2&gt;: odiheim (0.149 cents)
| w-65
1771561 / 1771470 = |-1 -11 -1 0 6&gt;: parimo (0.089 cents)
|
3294225 / 3294172 = |-2 2 2 -7 4&gt;: ultimo (0.028 cents)
| {{Monzo| -103 65 }}
| 27.075
|
|-
| [[Pythagorean comma]]
| Lalawa
| LLw-2
| 531441 / 524288
| {{Monzo| -19 12 }}
| 23.460
|
|-
| [[41-comma]], Pythagorean countercomma, <br>countercomp comma
| Wa-41
| w-41
| <abbr title="36893488147419103232 / 36472996377170786403">(40 digits)</abbr>
| {{Monzo| 65 -41 }}
| 19.845
| [[Flora Canou]] (2022)
|-
| [[94-comma]], garistearn comma
| Wa-94
| w-94
|
| {{Monzo| 149 -94 }}
| 16.230
| [[User:Xenllium|Xenllium]] (2021)
|-
| 147-comma
| Wa-147
| w-147
|
| {{Monzo| 233 -147 }}
| 12.615
|
|-
| 200-comma, <br>Pythagorean integer-cent ET comma
| Wa-200
| w-200
|
| {{Monzo| 317 -200 }}
| 8.9998
|
|-
| 253-comma
| Wa-253
| w-253
|
| {{Monzo| 401 -253 }}
| 5.3848
|
|-
| [[Mercator's comma]], 53-comma
| Wa-53
| w-53
| <abbr title="19383245667680019896796723 / 19342813113834066795298816">(52 digits)</abbr>
| {{Monzo| -84 53 }}
| 3.6150
|
|}


===13-limit commas===  
=== 5-limit commas ===
78 / 77 = |1 1 0 -1 -1 1&gt;: negustma (22.229 cents)
{{See also| Table of 5-limit commas }}
91 / 90 = |-1 -2 -1 1 0 1&gt;: superleap (19.130 cents)
105 / 104 = |-3 1 1 1 0 1&gt;: animist (16.567 cents)
275 / 273 = |0 -1 2 -1 1 -1&gt;: gassorma (12.637 cents)
144 / 143 = |4 2 0 0 -1 -1&gt;: grossma (12.064 cents)
169 / 168 = |-3 -1 0 -1 0 2&gt;: dhanvantarisma (10.274 cents)
196 / 195 = |2 -1 -1 2 0 -1&gt;: [[mynucumic chords|mynucuma]] (8.855 cents)
640 / 637 = |7 0 1 -2 0 -1&gt;: [[huntmic chords|huntma]] (8.134)
1188 / 1183 = |2 3 0 -1 1 -2&gt;: [[kestrel chords|kestrel comma]] (7.302 cents)
325 / 324 = |-2 -4 2 0 0 1&gt;: [[Marveltwin|marveltwin]] (5.335 cents)
351 / 350 = |-1 3 -2 -1 0 1&gt;: [[ratwolf triad|ratwolfsma]] (4.939 cents)
352 / 351 = |5 -3 0 0 1 -1&gt;: [[minthmic chords|minthma]] (4.925 cents)
364 /363 = |2 -1 0 1 -2 1&gt;: [[gentle chords|gentle comma]] (4.763 cents)
847 / 845 = |0 0 -1 1 2 -2&gt;: [[cuthbert triad|cuthbert]] (4.093 cents)
676 / 675 = |2 -3 -2 0 0 2&gt;: [[The Archipelago|island comma]] (2.563 cents)
1575 / 1573 = |0 2 2 1 -2 -1&gt;: [[nicolic tetrad|nicola]] (2.200 cents)
2200 /2197 = |3 0 2 0 1 -3&gt;: [[petrmic triad|petrma]] (2.362 cents)
123201 / 123200 = |-6 6 -2 -1 -1 2&gt;: chalmersia (0.014 cents)


===17-limit commas===  
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament names|Color name]]
! [[Ratio]]
! [[Monzo]]
! [[Cents]]
! Named by
|-
| [[Magic comma]], small diesis
| Laquinyo
| L5y-2
| 3125 / 3072
| {{Monzo| -10 -1 5 }}
| 29.614
|
|-
| [[Hendecatonic comma]]
| Trisa-legu
| 3s11g5
| 8796093022208 / 8649755859375
| {{Monzo| 43 -11 -11 }}
| 29.044
|
|-
| [[Tetracot comma]], minimal diesis
| Saquadyo
| s4y1
| 20000 / 19683
| {{Monzo| 5 -9 4 }}
| 27.660
|
|-
| [[Semaja comma]]
| Lalaneyo
| LL19y-5
| 19073486328125 / 18786186952704
| {{Monzo| -33 -7 19 }}
| 26.276
| [[Petr Pařízek]] (2011)
|-
| [[Quanic comma]]
| Sepsa-quinyo
| 7s5y5
|
| {{Monzo| 74 -54 5 }}
| 25.999
|
|-
| [[Roda]], rodan comma
| Sasa-triyo
| ss3y2
| 131072000 / 129140163
| {{Monzo| 20 -17 3 }}
| 25.706
|
|-
| Gracecordial comma
| Trilayo
| 3Ly-3
| 17433922005 / 17179869184
| {{Monzo| -34 20 1 }}
| 25.414
|
|-
| [[Trisedodge comma]]
| Saquintrigu
| s15g4
| 30958682112 / 30517578125
| {{Monzo| 19 10 -15 }}
| 24.844
| [[Petr Pařízek]] (2011)
|-
| [[Birds comma]]
| Quadsa-thiwegu
| 4s31g9
|
| {{Monzo| 72 0 -31 }}
| 24.275
|
|-
| [[Neuk comma]]
| Trisa-yoyo
| 3syy3
| 858993459200 / 847288609443
| {{Monzo| 35 -25 2 }}
| 23.752
| [[User:CompactStar|CompactStar]] (2023)
|-
| [[Maja comma]]
| Saseyo
| s17y-3
| 762939453125 / 753145430616
| {{Monzo| -3 -23 17 }}
| 22.368
| [[Petr Pařízek]] (2011)
|-
| [[Satin comma]]
| Quinbisa-triyo
| 10s3y7
|
| {{Monzo| 104 -70 3 }}
| 22.091
|
|-
| [[Misneb comma]]
| Quadla-quintriyo
| 4L15y-6
| <abbr title="145964630126953125 / 144115188075855872">(36 digits)</abbr>
| {{Monzo| -57 14 15 }}
| 22.076
| [[Petr Pařízek]] (2011)
|-
| [[Syntonic comma]], Didymus comma, meantone comma
| Gu
| g1
| 81 / 80
| {{Monzo| -4 4 -1 }}
| 21.506
|
|-
| [[Maquila comma]]
| Trisa-segu
| 3s17g6
| 562949953421312 / 556182861328125
| {{Monzo| 49 -6 -17 }}
| 20.937
| [[Petr Pařízek]] (2011)
|-
| [[Sfourth comma]]
| Lala-negu
| LL19g3
| 617673396283947 / 610351562500000
| {{Monzo| -5 31 -19 }}
| 20.644
| [[Petr Pařízek]] (2011)
|-
| [[Diaschisma]]
| Sagugu
| sgg2
| 2048 / 2025
| {{Monzo| 11 -4 -2 }}
| 19.553
| Hermann von Helmholtz, Alexander Ellis (1875)
|-
| [[Countermeantone comma]]
| Quinquadgu
| 20g4
| 96402615118848 / 95367431640625
| {{Monzo| 10 23 -20 }}
| 18.691
| [[Petr Pařízek]] (2012)
|-
| [[Ditonma]]
| Lala-theyo
| LL13y-4
| 1220703125 / 1207959552
| {{Monzo| -27 -2 13 }}
| 18.168
| [[Petr Pařízek]] (2011)
|-
| [[Misty comma]]
| Sasa-trigu
| ss3g3
| 67108864 / 66430125
| {{Monzo| 26 -12 -3 }}
| 17.599
| [[Paul Erlich]] (2002)
|-
| [[Quintile comma]]
| Trila-quingu
| 3L5g-2
| 847288609443 / 838860800000
| {{Monzo| -28 25 -5 }}
| 17.306
| See the dedicated page.
|-
| [[Enneadecacot comma]]
| Tribisa-negu
| 6s19g8
| 562949953421312 / 557439598640741
| {{monzo| 79 -22 -19 }}
| 17.029
| [[User:CompactStar|CompactStar]] (2024)
|-
| [[Oquatonic comma]]
| Quadla-sepquadyo
| 4L28y-8
| <abbr title="37252902984619140625 / 36893488147419103232">(40 digits)</abbr>
| {{Monzo| -65 0 28 }}
| 16.784
| [[Petr Pařízek]] (2011)
|-
| [[Undim comma]]
| Trisa-quadgu
| 3s4g4
| 2199023255552 / 2179240250625
| {{Monzo| 41 -20 -4 }}
| 15.645
| [[Petr Pařízek]] (2011)
|-
| [[Graviton]], gravity comma
| Lala-tribigu
| LL6g1
| 129140163 / 128000000
| {{Monzo| -13 17 -6 }}
| 15.353
| [[Mike Battaglia]] (2011)
|-
| [[Majvam comma]]
| Sasa-lebigu
| ss22g6
| <abbr title="2404631929946112 / 2384185791015625">(32 digits)</abbr>
| {{Monzo| 40 7 -22 }}
| 14.783
| [[Petr Pařízek]] (2011)
|-
| [[Quartonic comma]]
| Saleyo
| s11y-2
| 390625000 / 387420489
| {{Monzo| 3 -18 11 }}
| 14.261
|
|-
| [[Untritonic comma]]
| Quadla-tritriyo
| 4L9y-5
| <abbr title="2270041927734375 / 2251799813685248">(32 digits)</abbr>
| {{Monzo| -51 19 9 }}
| 13.968
| [[Petr Pařízek]] (2011)
|-
| [[Quindromeda comma]]
| Quinsa-quingu
| 5s5g5
| <abbr title="72057594037927936 / 71489976421753125">(34 digits)</abbr>
| {{Monzo| 56 -28 -5 }}
| 13.691
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Sensipent comma]], medium semicomma
| Sepgu
| 7g2
| 78732 / 78125
| {{Monzo| 2 9 -7 }}
| 13.399
|
|-
| [[Copper comma]]
| Theneyo
| 41L29y-33
|
| {{Monzo| -481 261 29 }}
| 13.353
| [[Eliora]] (2023)
|-
| [[Counterwürschmidt comma]]
| Trisa-twethegu
| 3s23g7
| <abbr title="36028797018963968 / 35762786865234375">(34 digits)</abbr>
| {{Monzo| 55 -1 -23 }}
| 12.830
| [[Flora Canou]] (2023)
|-
| [[Tertiosec comma]]
| Laquadtribiyo
| 6L24y-9
|
| {{Monzo| -89 21 24 }}
| 12.584
| [[Petr Pařízek]] (2012)
|-
| [[Würschmidt comma]]
| Saquadbigu
| s8g3
| 393216 / 390625
| {{Monzo| 17 1 -8 }}
| 11.445
|
|-
| [[Bicommatic comma]]
| Quadla-quinbigu
| 4L10g-2
| <abbr title="1350851717672992089 / 1342177280000000000">(38 digits)</abbr>
| {{Monzo| -37 38 -10 }}
| 11.153
|
|-
| [[Counterhanson comma]]
| Quinquinyo
| 25y-5
| <abbr title="298023223876953125 / 296148833645101056">(36 digits)</abbr>
| {{Monzo| -20 -24 25 }}
| 10.923
| [[Petr Pařízek]] (2012)
|-
| [[Countritonic comma]]
| Quadsa-tritriyo
| 4s9y2
| <abbr title="16777216000000000 / 16677181699666569">(34 digits)</abbr>
| {{Monzo| 33 -34 9 }}
| 10.353
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Semicomma]], Fokker's comma
| Lasepyo
| L7y-3
| 2109375 / 2097152
| {{Monzo| -21 3 7 }}
| 10.061
|
|-
| [[Heptacot comma]]
| Sepsa-sepgu
| 7s7g7
|
| {{Monzo| 86 -44 -7 }}
| 9.7840
| [[Tristan Bay]] (2024)
|-
| [[Escapade comma]]
| Sasa-tritrigu
| ss9g4
| 4294967296 / 4271484375
| {{Monzo| 32 -7 -9 }}
| 9.4916
| [[Paul Erlich]] (2002)
|-
| [[15625/15552|Kleisma]], semicomma majeur
| Tribiyo
| 6y-2
| 15625 / 15552
| {{Monzo| -6 -5 6 }}
| 8.1073
| {{W|Shohé Tanaka}} (1890)
|-
| [[Quintosec comma]]
| Quadsa-quinbigu
| 4s10g5
| 140737488355328 / 140126044921875
| {{Monzo| 47 -15 -10 }}
| 7.5378
| [[Petr Pařízek]] (2012)
|-
| 59-5-comma
| Quadbisa-finegu
| 8s59g16
|
| {{Monzo| 137 0 -59 }}
| 7.4909
|
|-
| [[Unidecma]]
| Laquadtrigu
| L12g2
| 31381059609 / 31250000000
| {{Monzo| -7 22 -12 }}
| 7.2455
|
|-
| [[Mutt comma]]
| Trila-septriyo
| 3L21y-6
| 476837158203125 / 474989023199232
| {{Monzo| -44 -3 21 }}
| 6.7230
| [[Gene Ward Smith]] (2004)
|-
| [[Sulfur comma]]
| Lela-quadquadgu
| 11L16g-6
|
| {{Monzo| -115 96 -16 }}
| 6.6607
|
|-
| [[Amity comma]]
| Saquinyo
| s5y1
| 1600000 / 1594323
| {{Monzo| 9 -13 5 }}
| 6.1536
| [[Gene Ward Smith]] (2001)
|-
| [[Parakleisma]]
| Thegu
| 13g3
| 1224440064 / 1220703125
| {{Monzo| 8 14 -13 }}
| 5.2917
| [[Gene Ward Smith]] (2001)
|-
| [[Gammic comma]]
| Laquinquadyo
| L20y-5
| 95367431640625 / 95105071448064
| {{Monzo| -29 -11 20 }}
| 4.7693
|
|-
| [[Squarschmidt comma]]
| Quadsa-twenegu
| 4s29g8
| <abbr title="186773283746309210112 / 186264514923095703125">(42 digits)</abbr>
| {{Monzo| 61 4 -29 }}
| 4.7223
| [[Petr Pařízek]] (2012)
|-
| Huntian 15-cycle comma
| Quadtrisa-fothegu
| 12s43g16
|
| {{Monzo| 168 -43 -43 }}
| 4.4453
|
|-
| [[Barium comma]]
| Quadtribila-sepquadbigu
| 24L56g-8
|
| {{Monzo| -225 224 -56 }}
| 4.3522
| [[Eliora]] (2023)
|-
| [[Vulture comma]]
| Sasa-quadyo
| ss4y2
| 10485760000 / 10460353203
| {{Monzo| 24 -21 4 }}
| 4.1998
| [[Paul Erlich]] (2002)
|-
| [[Dipromethia]]
| Thebila-siweyo
| 26L61y-28
|
| {{Monzo| -335 122 61 }}
| 3.6467
| [[Eliora]] (2023)
|-
| [[Lafa comma]]
| Tribisa-quadtrigu
| 6s12g7
|
| {{Monzo| 77 -31 -12 }}
| 3.6304
| [[Petr Pařízek]] (2011)
|}


===19-limit commas===
=== 7-limit commas ===
210 / 209 = |1 1 1 1 -1 0 0 -1&gt;: spleen comma</pre></div>
{| class="wikitable"
<h4>Original HTML content:</h4>
! Name(s)
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;
! colspan="2" | [[Color notation/Temperament names|Color name]]
! [[Ratio]]
! [[Monzo]]
! [[Cents]]
! Named by
|-
| [[3645/3584|Schismean comma]]
| Laruyo
| Lry-2
| 3645 / 3584
| {{Monzo| -9 6 1 -1 }}
| 29.218
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Doublehearted comma]]
| Quadbizo
| 8z5
| 5764801 / 5668704
| {{Monzo| -5 -11 0 8 }}
| 29.102
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Frostburn comma]]
| Quadru-asepyo
| 4ra7y-4
| 78125 / 76832
| {{Monzo| -5 0 7 -4 }}
| 28.892
|
|-
| [[686/675|Senga]]
| Trizo-agugu
| 3zagg3
| 686 / 675
| {{Monzo| 1 -3 -2 3 }}
| 27.985
| [[Gene Ward Smith]] (2005)
|-
| 23-21-comma
| Sepla-twethezo
| 7L23z7
|
| {{Monzo| -101 23 0 23 }}
| 27.961
|
|-
| [[64/63|Septimal comma]], Archytas' comma, Leipziger Komma
| Ru
| r1
| 64 / 63
| {{Monzo| 6 -2 0 -1 }}
| 27.264
|
|-
| [[Mandos comma]]
| Birugugu
| 2rgg1
| 31104 / 30625
| {{Monzo| 7 5 -4 -2 }}
| 26.868
|
|-
| [[Slither comma]]
| Satritriru-aquadyo
| s9ra4y-5
| 40960000 / 40353607
| {{Monzo| 16 0 4 -9 }}
| 25.822
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Bastille comma]]
|
|
|
| {{Monzo| 1426 0 -596 -15 }}
| 24.638
| [[Eliora]] (2023)
|-
| 33-7/5-comma
| Letrizogu
| 33zg21
|
| {{Monzo| -16 0 -33 33 }}
| 22.902
|
|-
| Huntian 35-cycle comma
| Quintrisa-tritritribirugu
| 15s54rg-6
|
| {{Monzo| 277 0 -54 -54 }}
| 22.461
|
|-
| [[Blackjackisma]]
| Lasepru-aquadbiyo
| L7ra8y-6
| 854296875 / 843308032
| {{Monzo| -10 7 8 -7 }}
| 22.413
| [[Gene Ward Smith]] (2011)
|-
| [[Squalentine comma]]
| Laquadzo-atrigu
| L4za3g3
| 64827 / 64000
| {{Monzo| -9 3 -3 4 }}
| 22.227
|
|-
| [[875/864|Keema]]
| Zotriyo
| z3y1
| 875 / 864
| {{Monzo| -5 -3 3 1 }}
| 21.902
| [[Gene Ward Smith]] (2005)
|-
| [[Betelgeuse comma]]
| Satritrizo-agugu
| s9zagg6
| 40353607 / 39858075
| {{Monzo| 0 -13 -2 9 }}
| 21.391
|
|-
| [[3125/3087|Gariboh comma]]
| Triru-aquinyo
| 3ra5y-3
| 3125 / 3087
| {{Monzo| 0 -2 5 -3 }}
| 21.181
| [[Gene Ward Smith]] (2005)
|-
| [[Secanticornisma]]
| Laruquingu
| Lr5g1
| 177147 / 175000
| {{Monzo| -3 11 -5 -1 }}
| 21.111
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[2430/2401|Nuwell comma]]
| Quadru-ayo
| 4ray-3
| 2430 / 2401
| {{Monzo| 1 5 1 -4 }}
| 20.785
| [[Gene Ward Smith]] (2005)
|-
| [[Mermisma]]
| Sepruyo
| 7ry-5
| 2500000 / 2470629
| {{Monzo| 5 -1 7 -7 }}
| 20.460
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Negricorn comma]], small quadruple bluish
| Saquadzogu
| s4zg4
| 153664 / 151875
| {{monzo| 6 -5 -4 4 }}
| 20.274
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Tolerant comma]]
| Sazoyoyo
| szyy2
| 179200 / 177147
| {{Monzo| 10 -11 2 1 }}
| 19.948
|
|-
| [[Icosipentatonic comma]], 25-36/35-comma
| Quinquinrugu
| 25rg-8
|
| {{Monzo| 49 50 -25 -25 }}
| 19.260
|
|-
| [[Valenwuer comma]]
| Sarutribigu
| sr6g1
| 110592 / 109375
| {{Monzo| 12 3 -6 -1 }}
| 19.157
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Buzzardsma]], buzzard comma
| Saquadru
| s4r-2
| 65536 / 64827
| {{Monzo| 16 -3 0 -4 }}
| 18.831
| See the page.
|-
| Huntian 21-cycle comma
| Quadbisa-sepquadru
| 8s28r-8
|
| {{Monzo| 123 -28 0 -28 }}
| 18.135
|
|-
| [[Mirwomo comma]]
| Labizoyo
| L2zy1
| 33075 / 32768
| {{Monzo| -15 3 2 2 }}
| 16.144
|
|-
| [[Catasyc comma]]
| Laruquadbiyo
| Lr8y-3
| 390625 / 387072
| {{Monzo| -11 -3 8 -1 }}
| 15.819
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Compass comma]]
| Quinruyoyo
| 5ryy-5
| 9765625 / 9680832
| {{monzo| -6 -2 10 -5 }}
| 15.098
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Trimyna comma]]
| Quinzogu
| 5zg4
| 50421 / 50000
| {{monzo| -4 1 -5 5 }}
| 14.516
|
|-
| [[245/243|Sensamagic comma]]
| Zozoyo
| zzy2
| 245 / 243
| {{monzo| 0 -5 1 2 }}
| 14.191
| [[Gene Ward Smith]] (2010)
|-
| [[126/125|Starling comma]], septimal semicomma
| Zotrigu
| z3g2
| 126 / 125
| {{Monzo| 1 2 -3 1 }}
| 13.795
|
|-
| Slendro 34-comma
| Quinla-sequadzo
| 5L68z28
|
| {{Monzo| -137 -34 0 68 }}
| 13.692
|
|-
| [[4000/3969|Octagar comma]]
| Rurutriyo
| rr3y-2
| 4000 / 3969
| {{Monzo| 5 -4 3 -2 }}
| 13.469
| [[Gene Ward Smith]] (2005)
|-
| [[1728/1715|Orwellisma]]
| Triru-agu
| 3rag-2
| 1728 / 1715
| {{Monzo| 6 3 -1 -3 }}
| 13.074
|
|-
| [[Mynaslender comma]]
| Sepru-ayo
| 7ray-4
| 829440 / 823543
| {{Monzo| 11 4 1 -7 }}
| 12.352
| [[User:Xenllium|Xenllium]] (2021)
|-
| 35-7/5-comma
| Sepquinruyo
| 35ry-22
|
| {{monzo| 17 0 35 -35 }}
| 12.073
|
|-
| [[Chromatisma]]
| Trisa-triru-aquadquadyo
| 3s3ra16y-3
| <abbr title="640000000000000000 / 635585924776181463">(36 digits)</abbr>
| {{Monzo| 22 -32 16 -3 }}
| 11.982
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Mistisma]]
| Sazoquadgu
| sz4g3
| 458752 / 455625
| {{Monzo| 16 -6 -4 1 }}
| 11.841
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Bronzisma]]
| Satriru-agugu
| s3ragg1
| 2097152 / 2083725
| {{Monzo| 21 -5 -2 -3 }}
| 11.120
| [[User:Xenllium|Xenllium]] (2021)
|-
| 34-jubilismic comma
| Sequadzogu
| 68zg42
|
| {{Monzo| -33 0 -68 68 }}
| 10.829
|
|-
| [[26-7-comma]], Hunt 7-cycle comma
| Quadsa-thebiru
| 4s26r-10
| <abbr title="9444732965739290427392 / 9387480337647754305649">(44 digits)</abbr>
| {{Monzo| 73 0 0 -26 }}
| 10.526
|
|-
| [[Septiness comma]]
| Sasasepru
| ss7r-3
| 67108864 / 66706983
| {{Monzo| 26 -4 0 -7 }}
| 10.399
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[31-comma temperaments|31-35-comma]]
| Tritrila-thiwezoyo