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Small comma: Difference between revisions

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**Imported revision 146400483 - 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>2010-06-01 23:54:10 UTC</tt>.<br>
: The original revision id was <tt>146400483</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">A **comma** is a small just interval, 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 //tempered out//, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by [[Meantone|meantone temperament]].  


==3-limit commas==
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]].


256 / 243 = |8 -5&gt;: limma or Pythagorean minor second (90.225 [[cent]]s)
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.
2187 / 2048 = |-11 7&gt;: apotome (113.685 cents)
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)


==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 = |-7 3 1&gt;: major chroma, major limma, pelogic comma (92.179 [[cent]]s)
== List of commas, by prime limit ==
648 / 625 = |3 4 -4&gt;: major diesis, diminished comma (62.565 cents)
=== 3-limit commas ===
16875 / 16384 = |-14 3 4&gt;: negri comma, double augmentation diesis (51.120 cents)
{{See also| Table of 3-limit commas }}
250 / 243 = |1 -5 3&gt;: maximal diesis, porcupine comma (49.166 cents)
128 / 125 = |7 0 -3&gt;: diesis, augmented comma (41.059 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)
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)
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)
15625 / 15552 = |-6 -5 6&gt;: kleisma, semicomma majeur (8.107 cents)
1600000 / 1594323 = |9 -13 5&gt;: amity comma (6.154 cents)
|8 14 -13&gt;: parakleisma (5.292 cents)
|24 -21 4&gt;: vulture (4.200 cents)
6115295232 / 6103515625 = |23 6 -14&gt;: vishnuzma (3.338 cents)
|-14 -19 19&gt;: enneadeca, 19-tone-comma (2.816 cents)
|39 -29 3&gt;: tricot comma (2.246 cents)
32805 / 32768 = |-15 8 1&gt;: schisma (1.954 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)
|-53 10 16&gt;: kwazy comma (0.569 cents)
|54 -37 2&gt;: monzisma (0.292 cents)


==7-limit commas==
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament names|Color name]]
! [[Ratio]]
! [[Monzo]]
! [[Cents]]
! Named by
|-
| 241-comma
| Wa-241
| w-241
|
| {{Monzo| 382 -241 }}
| 28.845
|
|-
| 65-comma, <br>Pythagorean septimal comma
| Wa-65
| w-65
|
| {{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
|
|}


1029 / 1000 = |-3 1 -3 3&gt;: keega (49.492 [[cent]]s)
=== 5-limit commas ===
686 / 675 = |1 -3 -2 3&gt;: senga (27.985 cents)
{{See also| Table of 5-limit commas }}
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)
875 / 864 = |-5 -3 3 1&gt;: keemic (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)
245 / 243 = |0 -5 1 2&gt;: sensamagic (14.191 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)
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)
6144 / 6125 = |11 1 -3 -2&gt;: porwell (5.362 cents)
33554432 / 33480743 = |25 -14 0 -1&gt; garischisma (3.804 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 = |-5 -1 -2 4&gt;: breedsma (0.721 cents)
4375 / 4374 = |-1 -7 4 1&gt;: ragisma (0.396 cents)
250047 / 250000 = |-4 6 -6 3&gt;: landscape comma (0.325 cents)


==11-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)
|}


99 / 98 = |-1 2 0 2 1&gt;: mothwellsma (17.576 cents)
=== 7-limit commas ===
100 / 99 = |2 -2 2 0 -1&gt;: ptolemisma (17.399 cents)
{| class="wikitable"
121 / 120 = |-3 -1 -1 0 2&gt;: biyatisma (14.367 cents)
! Name(s)
176 / 175 = |4 0 -2 -1 1&gt;: valinorsma (9.865 cents)
! colspan="2" | [[Color notation/Temperament names|Color name]]
896 / 891 = |7 -4 0 1 -1&gt;: pentacircle (9.688 cents)
! [[Ratio]]
243 / 242 = |-1 5 0 0 -2&gt;: rastma (7.139 cents)
! [[Monzo]]
385 / 384 = |-7 -1 1 1 1&gt;:  unidecma (4.503 cents)
! [[Cents]]
441 / 440 = |-3 2 -1 2 -1&gt;: werckisma (3.930 cents)
! Named by
540 / 539 = |2 3 1 -2 -1&gt;: swetisma (3.209 cents)
|-
3025 / 3024 = |-4 -3 2 -1 2&gt;: lehmerisma (0.572 cents)
| [[3645/3584|Schismean comma]]
9801 / 9800 = |-3 4 -2 -2 2&gt;: kalisma, Gauss' comma (0.177 cents)</pre></div>
| Laruyo
<h4>Original HTML content:</h4>
| Lry-2
<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;title&gt;Comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;strong&gt;comma&lt;/strong&gt; is a small just interval, greater than 1 and not a power such as a square or cube of any other interval, generally in a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;low prime limit&lt;/a&gt;. The word is often used in reference to &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;regular tempering&lt;/a&gt; when the comma is &lt;em&gt;tempered out&lt;/em&gt;, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by &lt;a class="wiki_link" href="/Meantone"&gt;meantone temperament&lt;/a&gt;. &lt;br /&gt;
| 3645 / 3584
&lt;br /&gt;
| {{Monzo| -9 6 1 -1 }}
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-3-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;3-limit commas&lt;/h2&gt;
| 29.218
&lt;br /&gt;
| [[User:Xenllium|Xenllium]] (2022)
256 / 243 = |8 -5&amp;gt;: limma or Pythagorean minor second (90.225 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s)&lt;br /&gt;
|-
2187 / 2048 = |-11 7&amp;gt;: apotome (113.685 cents)&lt;br /&gt;
| [[Doublehearted comma]]
531441 / 524288 = |-19 12&amp;gt;: Pythagorean comma (23.460 cents)&lt;br /&gt;
| Quadbizo
134217728 / 129140163 = |27 -17&amp;gt;: 17-comma (66.765 cents)&lt;br /&gt;
| 8z5
70368744177664 / 68630377364883 = |46 -29&amp;gt;: 29-comma (43.305 cents)&lt;br /&gt;
| 5764801 / 5668704
36893488147419103232 / 36472996377170786403 = |65 -41&amp;gt;: 41-comma (19.845 cents)&lt;br /&gt;
| {{Monzo| -5 -11 0 8 }}
19383245667680019896796723 / 19342813113834066795298816 = |-84 53&amp;gt;: Mercator's comma, 53-comma (3.615 cents)&lt;br /&gt;
| 29.102
&lt;br /&gt;
| [[User:Xenllium|Xenllium]] (2023)
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-5-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;5-limit commas&lt;/h2&gt;
|-
&lt;br /&gt;
| [[Frostburn comma]]
135 / 128 = |-7 3 1&amp;gt;: major chroma, major limma, pelogic comma (92.179 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s)&lt;br /&gt;
| Quadru-asepyo
648 / 625 = |3 4 -4&amp;gt;: major diesis, diminished comma (62.565 cents)&lt;br /&gt;
| 4ra7y-4
16875 / 16384 = |-14 3 4&amp;gt;: negri comma, double augmentation diesis (51.120 cents)&lt;br /&gt;
| 78125 / 76832
250 / 243 = |1 -5 3&amp;gt;: maximal diesis, porcupine comma (49.166 cents)&lt;br /&gt;
| {{Monzo| -5 0 7 -4 }}
128 / 125 = |7 0 -3&amp;gt;: diesis, augmented comma (41.059 cents)&lt;br /&gt;
| 28.892
34171875 / 33554432 = |-25 7 6&amp;gt;: ampersand, Ampersand's comma (31.567 cents)&lt;br /&gt;
|
3125 / 3072 = |-10 -1 5&amp;gt; small diesis, magic comma (29.614 cents)&lt;br /&gt;
|-
20000 / 19683 = |5 -9 4&amp;gt;: minimal diesis, tetracot comma (27.660 cents)&lt;br /&gt;
| [[686/675|Senga]]
81 / 80 = |-4 4 -1&amp;gt;: syntonic comma, Didymos comma, meantone comma (21.506 cents)&lt;br /&gt;
| Trizo-agugu
2048 / 2025 = |11 -4 -2&amp;gt;: diaschisma (19.553 cents)&lt;br /&gt;
| 3zagg3
67108864 / 66430125 = |26 -12 -3&amp;gt;: misty comma (17.599 cents)&lt;br /&gt;
| 686 / 675
78732 / 78125 = |2 9 -7&amp;gt;: medium semicomma, sensipent comma (13.399 cents)&lt;br /&gt;
| {{Monzo| 1 -3 -2 3 }}
393216 / 390625 = |17 1 -8&amp;gt;: Wuerschmidt comma (11.445 cents)&lt;br /&gt;
| 27.985
2109375 / 2097152 = |-21 3 7&amp;gt;: semicomma, Fokker comma (10.061 cents)&lt;br /&gt;
| [[Gene Ward Smith]] (2005)
15625 / 15552 = |-6 -5 6&amp;gt;: kleisma, semicomma majeur (8.107 cents)&lt;br /&gt;
|-
1600000 / 1594323 = |9 -13 5&amp;gt;: amity comma (6.154 cents)&lt;br /&gt;
| 23-21-comma
|8 14 -13&amp;gt;: parakleisma (5.292 cents)&lt;br /&gt;
| Sepla-twethezo
|24 -21 4&amp;gt;: vulture (4.200 cents)&lt;br /&gt;
| 7L23z7
6115295232 / 6103515625 = |23 6 -14&amp;gt;: vishnuzma (3.338 cents)&lt;br /&gt;
|
|-14 -19 19&amp;gt;: enneadeca, 19-tone-comma (2.816 cents)&lt;br /&gt;
| {{Monzo| -101 23 0 23 }}
|39 -29 3&amp;gt;: tricot comma (2.246 cents)&lt;br /&gt;
| 27.961
32805 / 32768 = |-15 8 1&amp;gt;: schisma (1.954 cents)&lt;br /&gt;
|
274877906944 / 274658203125 = |38 -2 -15&amp;gt;: hemithirds comma (1.384 cents)&lt;br /&gt;
|-
|-16 35 -17&amp;gt;: minortone comma (1.092 cents)&lt;br /&gt;
| [[64/63|Septimal comma]], Archytas' comma, Leipziger Komma
7629394531250 / 7625597484987 = |1 -27 18&amp;gt;: ennealimma (0.862 cents)&lt;br /&gt;
| Ru
|-53 10 16&amp;gt;: kwazy comma (0.569 cents)&lt;br /&gt;
| r1
|54 -37 2&amp;gt;: monzisma (0.292 cents)&lt;br /&gt;
| 64 / 63
&lt;br /&gt;
| {{Monzo| 6 -2 0 -1 }}
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-7-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;7-limit commas&lt;/h2&gt;
| 27.264
&lt;br /&gt;
|
1029 / 1000 = |-3 1 -3 3&amp;gt;: keega (49.492 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s)&lt;br /&gt;
|-
686 / 675 = |1 -3 -2 3&amp;gt;: senga (27.985 cents)&lt;br /&gt;
| [[Mandos comma]]
64 / 63 = |6 -2 0 -1&amp;gt;: septimal comma, Archytas' comma (&lt;a class="wiki_link_ext" href="http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma" rel="nofollow"&gt;&amp;quot;Leipziger Komma&amp;quot;&lt;/a&gt;) (27.264 cents)&lt;br /&gt;
| Birugugu
875 / 864 = |-5 -3 3 1&amp;gt;: keemic (21.902 cents)&lt;br /&gt;
| 2rgg1
3125 / 3087 = |0 -2 5 -3&amp;gt;: gariboh (21.181 cents)&lt;br /&gt;
| 31104 / 30625
2430 / 2401 = |1 5 1 -4&amp;gt;: nuwell (20.785 cents)&lt;br /&gt;
| {{Monzo| 7 5 -4 -2 }}
245 / 243 = |0 -5 1 2&amp;gt;: sensamagic (14.191 cents)&lt;br /&gt;
| 26.868
4000 / 3969 = |5 -4 3 -2&amp;gt;: octagar (13.469 cents)&lt;br /&gt;
|
1728 /1715 = |6 3 -1 -3&amp;gt;: orwellisma, orwell comma (13.074 cents)&lt;br /&gt;
|-
1029 / 1024 = |-10 1 0 3&amp;gt;: gamelisma (8.433 cents)&lt;br /&gt;
| [[Slither comma]]
19683 / 19600 = |-4 9 -2 -2&amp;gt;: cataharry (7.316 cents)&lt;br /&gt;
| Satritriru-aquadyo
16875 / 16807 = |0 3 4 -5&amp;gt;: mirkwai (6.990 cents)&lt;br /&gt;
| s9ra4y-5
10976 / 10935 = |5 -7 -1 3&amp;gt;: hemimage (6.479 cents)&lt;br /&gt;
| 40960000 / 40353607
3136 / 3125 = |6 0 -5 2&amp;gt;: hemimean (6.083 cents)&lt;br /&gt;
| {{Monzo| 16 0 4 -9 }}
5120 / 5103 = |10 -6 1 -1&amp;gt;: hemifamity (5.758 cents)&lt;br /&gt;
| 25.822
6144 / 6125 = |11 1 -3 -2&amp;gt;: porwell (5.362 cents)&lt;br /&gt;
| [[User:Xenllium|Xenllium]] (2022)
33554432 / 33480743 = |25 -14 0 -1&amp;gt; garischisma (3.804 cents)&lt;br /&gt;
|-
65625 / 65536 = |-16 1 5 1&amp;gt;: horwell (2.349 cents)&lt;br /&gt;
| [[Bastille comma]]
703125 / 702464 = |-11 2 7 -3&amp;gt;: meter (1.628 cents)&lt;br /&gt;
|
420175 / 419904 = |-6 -8 2 5&amp;gt;: wizma (1.117 cents)&lt;br /&gt;
|
2401 / 2400 = |-5 -1 -2 4&amp;gt;: breedsma (0.721 cents)&lt;br /&gt;
|
4375 / 4374 = |-1 -7 4 1&amp;gt;: ragisma (0.396 cents)&lt;br /&gt;
| {{Monzo| 1426 0 -596 -15 }}
250047 / 250000 = |-4 6 -6 3&amp;gt;: landscape comma (0.325 cents)&lt;br /&gt;
| 24.638
&lt;br /&gt;
| [[Eliora]] (2023)
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-11-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;11-limit commas&lt;/h2&gt;
|-
&lt;br /&gt;
| 33-7/5-comma
99 / 98 = |-1 2 0 2 1&amp;gt;: mothwellsma (17.576 cents)&lt;br /&gt;
| Letrizogu
100 / 99 = |2 -2 2 0 -1&amp;gt;: ptolemisma (17.399 cents)&lt;br /&gt;
| 33zg21
121 / 120 = |-3 -1 -1 0 2&amp;gt;: biyatisma (14.367 cents)&lt;br /&gt;
|
176 / 175 = |4 0 -2 -1 1&amp;gt;: valinorsma (9.865 cents)&lt;br /&gt;
| {{Monzo| -16 0 -33 33 }}
896 / 891 = |7 -4 0 1 -1&amp;gt;: pentacircle (9.688 cents)&lt;br /&gt;
| 22.902
243 / 242 = |-1 5 0 0 -2&amp;gt;: rastma (7.139 cents)&lt;br /&gt;
|
385 / 384 = |-7 -1 1 1 1&amp;gt;:  unidecma (4.503 cents)&lt;br /&gt;
|-
441 / 440 = |-3 2 -1 2 -1&amp;gt;: werckisma (3.930 cents)&lt;br /&gt;
| Huntian 35-cycle comma
540 / 539 = |2 3 1 -2 -1&amp;gt;: swetisma (3.209 cents)&lt;br /&gt;
| Quintrisa-tritritribirugu
3025 / 3024 = |-4 -3 2 -1 2&amp;gt;: lehmerisma (0.572 cents)&lt;br /&gt;
| 15s54rg-6
9801 / 9800 = |-3 4 -2 -2 2&amp;gt;: kalisma, Gauss' comma (0.177 cents)&lt;/body&gt;&lt;/html&gt;</pre></div>
|
| {{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
| 9L31zy4
|
| {{Monzo| -159 0 31 31 }}
| 9.3282
|
|-
| [[Quince comma]]
| Lasepzo-agugu
| L7zagg4
| 823543 / 819200
| {{Monzo| -15 0 -2 7 }}
| 9.1539
|
|-
| [[Uniwiz comma]]
| Quadzoyo
| 4zy2
| 1500625 / 1492992
| {{Monzo| -11 -6 4 4 }}
| 8.8285
|
|-
| [[Historisma]]
| Latribizogu
| L6zg4
| 257298363 / 256000000
| {{Monzo| -14 7 -6 6 }}
| 8.7582
| [[ArrowHead294]] (2024)
|-
| [[1029/1024|Gamelisma]]
| Latrizo
| L3z2
| 1029 / 1024
| {{Monzo| -10 1 0 3 }}
| 8.4327
|
|-
| [[Varunisma]]
| Labizogugu
| L2zgg2
| 321489 / 320000
| {{Monzo| -9 8 -4 2 }}
| 8.0370
|
|-
| [[225/224|Marvel comma]], septimal kleisma
| Ruyoyo
| ryy-2
| 225 / 224
| {{Monzo| -5 2 2 -1 }}
| 7.7115
| [[Gene Ward Smith]] (2003)
|-
| [[Dimcomp comma]]
| Quadruyoyo
| 4ryy-4
| 390625 / 388962
| {{Monzo| -1 -4 8 -4 }}
| 7.3861
|
|-
| [[Cataharry comma]]
| Labirugu
| L2rg-2
| 19683 / 19600
| {{Monzo| -4 9 -2 -2 }}
| 7.3158
| [[Gene Ward Smith]] (2005)
|-
| [[Procyon comma]]
| Sasepzo-atrigu
| s7za3g5
| 823543 / 820125
| {{Monzo| 0 -8 -3 7 }}
| 7.2002
|
|-
| [[Qiqi comma]]
| Sepruyoyo
| 7ryy-6
| 48828125000 / 48629390607
| {{Monzo| 3 -10 14 -7 }}
| 7.0606
| [[User:Angekallikoita|Ange]] (2025)
|-
| [[Mirkwai comma]]
| Quinru-aquadyo
| 5ra4y-4
| 16875 / 16807
| {{Monzo| 0 3 4 -5 }}
| 6.9903
| [[Gene Ward Smith]] (2005)
|-
| [[Canousma]]
| Saquadzo-atriyo
| s4za3y3
| 4802000 / 4782969
| {{Monzo| 4 -14 3 4 }}
| 6.8748
| [[Flora Canou]] (2020)
|-
| [[Triwellisma]]
| Tribizo-asepgu
| 6za7g5
| 235298 / 234375
| {{Monzo| 1 -1 -7 6 }}
| 6.8044
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Stearnsma]]
| Latribiru
| L6r-4
| 118098 / 117649
| {{Monzo| 1 10 0 -6 }}
| 6.5946
|
|-
| [[10976/10935|Hemimage comma]]
| Satrizo-agu
| s3zag3
| 10976 / 10935
| {{Monzo| 5 -7 -1 3 }}
| 6.4790
| [[Gene Ward Smith]] (2005)
|-
| [[3136/3125|Hemimean comma]]
| Zozoquingu
| zz5g3
| 3136 / 3125
| {{Monzo| 6 0 -5 2 }}
| 6.0832
| [[Gene Ward Smith]] (2005)
|-
| [[5120/5103|Hemifamity comma]], 5/7-kleisma
| Saruyo
| sry1
| 5120 / 5103
| {{Monzo| 10 -6 1 -1 }}
| 5.7578
| [[Gene Ward Smith]] (2005)
|-
| [[Parkleiness comma]]
| Zotritrigu
| z9g3
| 1959552 / 1953125
| {{Monzo| 7 7 -9 1 }}
| 5.6875
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Octaphore comma]], enneagari comma
| Sasa-quadbizo
| ss8z6
| 94450499584 / 94143178827
| {{Monzo| 14 -23 0 8 }}
| 5.6422
| [[User:Unque|Unque]] (2024)
|-
| [[Linus comma]]
| Saquinbizogu
| s10zg8
| 578509309952 / 576650390625
| {{Monzo| 11 -10 -10 10 }}
| 5.5719
| [[Gene Ward Smith]] (2011)
|-
| [[Reiwa comma]]
| Saquadru-asepyo
| s4ra7y-3
| 1280000000 / 1275989841
| {{monzo| 14 -12 7 -4 }}
| 5.4324
| [[Flora Canou]] (2022)
|-
| [[6144/6125|Porwell comma]]
| Sarurutrigu
| srr3g1
| 6144 / 6125
| {{Monzo| 11 1 -3 -2 }}
| 5.3620
| [[Gene Ward Smith]], [[Petr Pařízek]] (2010)
|-
| [[Cartoonisma]]
| Satritrizo-asepbigu
| s9za14g8
| 165288374272 / 164794921875
| {{Monzo| 12 -3 -14 9 }}
| 5.1762
| [[Eliora]] (2023)
|-
| [[Hemfiness comma]]
| Saquadru-atriyo
| s4ra3y-3
| 4096000 / 4084101
| {{Monzo| 15 -5 3 -5 }}
| 5.0366
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Acrodec comma]]
| Sasa-tribizo-aquadbigu
| ss6za8g6
| 7710244864 / 7688671875
| {{Monzo| 16 -9 -8 6 }}
| 4.8507
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Hewuermera comma]]
| Satribiru-agu
| s6rag-3
| 589824 / 588245
| {{Monzo| 16 2 -1 -6 }}
| 4.6408
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Hearts comma]]
| Trila-quadzo
| 3L4z1
| 34451725707 / 34359738368
| {{Monzo| -35 15 0 4 }}
| 4.6286
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Lokisma]], loki comma
| Sasa-bizotrigu
| ss2z3g4
| 102760448 / 102515625
| {{Monzo| 21 -8 -6 2 }}
| 4.1295
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Garischisma]], septimal schisma
| Sasaru
| ssr2
| 33554432 / 33480783
| {{Monzo| 25 -14 0 -1 }}
| 3.8041
|
|-
| [[Wadisma]]
| Latritrizo-ayo
| L9zay4
| 201768035 / 201326592
| {{Monzo| -26 -1 1 9 }}
| 3.7919
|
|-
| [[Septimal enneadeca]]
| Quinla-neru
| 5L19r-13
| <abbr title="1570042899082081611640534563 / 1566652225014704215735402496">(56 digits)</abbr>
| {{Monzo| -37 57 0 -19 }}
| 3.7428
| [[Godtone]] (2024)
|-
| [[Quasiorwellisma]]
| Sazoquinbigu
| sz10g4
| 29360128 / 29296875
| {{Monzo| 22 -1 -10 1 }}
| 3.7338
|
|}
 
=== 11-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color notation/Temperament names|Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[Dew comma]]
| Salo
| s1o2
| 180224 / 177147
| {{Monzo| 14 -11 0 0 1 }}
| 29.812
| [[User:CompactStar|CompactStar]] (2023)
|-
| [[Thuja comma]]
| Saquinlu-ayo
| s5(1u)y2
| 163840 / 161051
| {{Monzo| 15 0 1 0 -5 }}
| 29.724
|
|-
| [[625/616|Quadrikite comma]]
| Luruquadyo
| 1ur4y-2
| 625 / 616
| {{Monzo| -3 0 4 -1 -1 }}
| 25.111
| [[Praveen Venkataramana]], [[Lumi Pakkanen]] (2022)
|-
| [[1350/1331|Large tetracot diesis]]
| Trilu-ayoyo
| 3(1u)yy1
| 1350 / 1331
| {{Monzo| 1 3 2 0 -3 }}
| 24.539
| [[User:ArrowHead294|ArrowHead294]] (2024)
|-
| [[Sensmus comma]]
| Salozogu
| s1ozg2
| 1232 / 1215
| {{Monzo| 4 -5 -1 1 1 }}
| 24.055
|
|-
| [[Sevnothrush comma]]
| Loquingu
| 1o5g2
| 3168 / 3125
| {{Monzo| 5 2 -5 0 1 }}
| 23.659
|
|-
| [[245/242|Frostma]]
| Biluzo-ayo
| 2(1uz)y2
| 245 / 242
| {{Monzo| -1 0 1 2 -2 }}
| 21.330
| [[Praveen Venkataramana]] (2022)
|-
| [[Distarma]]
| Trilozo
| 3(1o)z1
| 9317 / 9216
| {{Monzo|-10 -2 0 1 3}}
| 18.869
| [https://twitter.com/Lilly__Flores Lilly Flores] (2023)
|-
| [[1617/1600|Antimisma]]
| Lobizogu
| 1o2zg2
| 1617 / 1600
| {{Monzo| -6 1 -2 2 1 }}
| 18.297
| [[User:Jerdle|Jerdle]] (2021)
|-
| [[99/98|Mothwellsma]]
| Loruru
| 1orr-2
| 99 / 98
| {{Monzo| -1 2 0 -2 1 }}
| 17.576
|
|-
| [[1610510/1594323|Fifthchromisma]]
| Saquinlo-ayo
| s5(1o)y1
| 1610510 / 1594323
| {{Monzo| 1 -13 1 0 5 }}
| 17.488
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[100/99|Ptolemisma]]
| Luyoyo
| 1uyy1
| 100 / 99
| {{Monzo| 2 -2 2 0 -1 }}
| 17.399
|
|-
| [[Hemimin comma]]
| Trilu-azo
| 3(1u)z2
| 1344 / 1331
| {{Monzo| 6 1 0 1 -3 }}
| 16.827
|
|-
| [[Betarabian comma]]
| Lalolo
| L1oo-2
| 264627 / 262144
| {{Monzo| -18 7 0 0 2 }}
| 16.321
| [[Dawson Berry]] (2020)
|-
| [[Biyatisma]]
| Lologu
| 1oog1
| 121 / 120
| {{Monzo| -3 -1 -1 0 2 }}
| 14.367
| [[Gene Ward Smith]] (2010)
|-
| [[Absinthma]]
| Luluruyo
| 1uury1
| 2560 / 2541
| {{Monzo| 9 -1 1 -1 -2 }}
| 12.897
| [[User:Jerdle|Jerdle]] (2023)
|-
| [[2835/2816|35/11 kleisma]]
| Laluzoyo
| L1uzy1
| 2835 / 2816
| {{Monzo| -8 4 1 1 -1 }}
| 11.642
|
|-
| [[Aphrowe comma]]
| Trilo-aruru
| 3(1o)rr-2
| 1331 / 1323
| {{Monzo| 0 -3 0 -2 3 }}
| 10.437
| [[Lériendil]] (2024)
|-
| [[2200/2187|Small tetracot diesis]]
| Saloyoyo
| s1oyy1
| 2200 / 2187
| {{Monzo| 3 -7 2 0 1 }}
| 10.260
| [[User:ArrowHead294|ArrowHead294]]
|-
| [[Valinorsma]]
| Lorugugu
| 1orgg1
| 176 / 175
| {{Monzo| 4 0 -2 -1 1 }}
| 9.8646
|
|-
| [[Pentacircle comma]]
| Saluzo
| s1uz2
| 896 / 891
| {{Monzo| 7 -4 0 1 -1 }}
| 9.6880
|
|-
| [[Alpharabian comma]]
| Laquadlo
| L4(1o)-2
| 131769 / 131072
| {{Monzo| -17 2 0 0 4 }}
| 9.1818
| [[Dawson Berry]] (2020)
|-
| [[Orgonisma]]
| Satrilu-aruru
| s3(1u)rr1
| 65536 / 65219
| {{Monzo| 16 0 0 -2 -3 }}
| 8.3944
|
|-
| [[Quindecic comma]]
| Sasa-quintriloru
| ss15(1or)-8
|
| {{Monzo| 14 -15 0 -15 15 }}
| 8.0555
|
|-
| [[117649/117128]]
| Bilulutrizo-a
| 2(1uu3z)4
| 117649 / 117128
| {{Monzo| -3 0 0 6 -4 }}
| 7.6837
|
|-
| [[Topsy comma]]
| Quadlo-atrizo-asepgu
| 4(1o)3za7g3
| 5021863 / 5000000
| {{Monzo| -6 0 -7 3 4 }}
| 7.5535
|
|-
| [[4375/4356|Fantares comma]]
| Luluzoquadyo
| 1uuz4y1
| 4375 / 4356
| {{Monzo| -2 -2 4 1 -2 }}
| 7.5349
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Semicanousma]]
| Quadlo-agu
| 4(1o)g1
| 14641 / 14580
| {{Monzo| -2 -6 -1 0 4 }}
| 7.2281
| [[Flora Canou]] (2020)
|-
| [[243/242|Rastma]]
| Lulu
| 1uu1
| 243 / 242
| {{Monzo| -1 5 0 0 -2 }}
| 7.1391
|
|-
| [[3388/3375|Myhemiwell comma]]
| Lolozotrigu
| 1ooz3g2
| 3388 / 3375
| {{Monzo| 2 -3 -3 1 2 }}
| 6.6556
|
|-
| [[Pythrabian comma]]
| Trisalo
| 3s1o
| 94489280512 / 94143178827
| {{Monzo| 33 -23 0 0 1 }}
| 6.3529
| [[Dawson Berry]] (2021)
|-
| [[Semiporwellisma]]
| Salulugu
| s1uug2
| 16384 / 16335
| {{Monzo| 14 -3 -1 0 -2 }}
| 5.1854
| [[Flora Canou]] (2021)
|-
| [[Octatonic comma]], undecimal octatonic comma
| Quadbilu
| 8(1u)2
| 214990848 / 214358881
| {{Monzo| 15 8 0 0 -8 }}
| 5.0965
| [[Eliora]] (2023)
|-
| [[385/384|Keenanisma]]
| Lozoyo
| 1ozy1
| 385 / 384
| {{Monzo| -7 -1 1 1 1 }}
| 4.5026
| [[Paul Erlich]] (2001)
|-
| [[Trimitone comma]]
| Lalotrigu
| L1o3g1
| 8019 / 8000
| {{Monzo| -6 6 -3 0 1 }}
| 4.1068
| [[User:Godtone|Godtone]] (2021)
|-
| [[4-cent comma]]
| Lutritryo
| 1u9y-2
| 1953125 / 1948617
| {{Monzo| 0 -11 9 0 -1 }}
| 4.0004
| [[User:Jerdle|Jerdle]] (2021)
|-
| [[441/440|Werckisma]]
| Luzozogu
| 1uzzg2
| 441 / 440
| {{Monzo| -3 2 -1 2 -1 }}
| 3.9302
|
|-
| [[1375/1372|Moctdel comma]]
| Lotriruyo
| 1o3ry-3
| 1375 / 1372
| {{Monzo| -2 0 3 -3 1 }}
| 3.7814
|
|-
| [[Unisquarisma]], unisquary comma
| Trilu-aquadzo-ayo
| 3(1u)4zay3
| 12005 / 11979
| {{Monzo| 0 -2 1 4 -3 }}
| 3.7535
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[6250/6237|Liganellus comma]], liganellisma
| Luruquinyo
| 1ur5y-2
| 6250 / 6237
| {{Monzo| 1 -4 5 -1 -1 }}
| 3.6047
| [[Dawson Berry]] (2020)
|}
 
=== 13-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[Lovecraft comma]]
| Thothotrilu
| 3oo3(1u)2
| 1352/1331
| {{monzo|3 0 0 0 -3 2}}
| 27.101
|
|-
| [[65/64|Wilsorma]]
| Thoyo
| 3oy1
| 65/64
| {{Monzo| -6 0 1 0 0 1 }}
| 26.841
|
|-
| [[Hyperpyth comma]]
| Quadtho-aquingu
| 4(3o)5g3
| 28561/28125
| {{Monzo| 0 -2 -5 0 0 4 }}
| 26.632
|
|-
| [[66/65|Winmeanma]]
| Thulogu
| 3u1og1
| 66/65
| {{Monzo| 1 1 -1 0 1 -1 }}
| 26.432
|
|-
| [[343/338|Sooty fox comma]]
| Thuthutrizo
| 3uu3z2
| 343/338
| {{Monzo| -1 0 0 3 0 -2 }}
| 25.422
| [[Budjarn Lambeth]] (2024)
|-
| [[Tetris comma]]
| Satho
| s3o2
| 6656/6561
| {{Monzo| 9 -8 0 0 0 1 }}
| 24.888
| [[Godtone]] (2024)
|-
| [[507/500|Large semisixthma]]
| Thothotrigu
| 3oo3g2
| 507/500
| {{Monzo| -2 1 -3 0 0 2 }}
| 24.069
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[78/77|Negustma]]
| Tholuru
| 3o1ur1
| 78/77
| {{Monzo| 1 1 0 -1 -1 1 }}
| 22.339
|
|-
| [[Greater tendoneutralisma]]
| Laquadbitho
| L8(3o)2
| 815730721 / 805306368
| {{Monzo| -28 -1 0 0 0 8 }}
| 22.266
| [[Godtone]] (2024)
|-
| [[91/90|Biome comma, superleap comma]]
| Thozogu
| 3ozg2
| 91/90
| {{Monzo| -1 -2 -1 1 0 1 }}
| 19.130
|
|-
| [[8281/8192|Diahuntmisma]]
| Labithozo
| L2(3oz)2
| 8281/8192
| {{Monzo| -13 0 0 2 0 2 }}
| 18.707
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[512/507|Tridecimal neutral thirds comma]]
| Thuthu
| 3uu1
| 512/507
| {{Monzo| 9 -1 0 0 0 -2 }}
| 16.990
|
|-
| [[105/104|Animist comma]]
| Thuzoyo
| 3uzy1
| 105/104
| {{Monzo| -3 1 1 1 0 -1 }}
| 16.567
|
|-
| [[28812/28561|Tesseract comma]]
| Quadthuzo
| 4(3uz)2
| 28812/28561
| {{Monzo| 2 1 0 4 0 -4 }}
| 15.148
| [[User:Unque|Unque]] (2025)
|-
| [[832/825]]
| Tholugugu
| 3o1ugg2
| 832/825
| {{Monzo| 6 -1 -2 0 -1 1 }}
| 14.627
|
|-
| [[Secorian comma]]
| Sathuzo
| s3uz2
| 28672 / 28431
| {{Monzo| 12 -7 0 1 0 -1 }}
| 14.613
|
|-
| [[3159/3136|Mosaic comma]]
| Lathoruru
| L3orr-2
| 3159/3136
| {{Monzo| -6 5 0 -2 0 1}}
| 12.651
|
|-
| [[275/273|Gassorma]]
| Thuloruyoyo
| 3u1oryy-2
| 275/273
| {{Monzo| 0 -1 2 -1 1 -1 }}
| 12.637
|
|-
| [[144/143|Grossma]]
| Thulu
| 3u1u1
| 144/143
| {{Monzo| 4 2 0 0 -1 -1 }}
| 12.064
|
|-
| [[24167/24000]]
| Tritho-alotrigu
| 3(3o)1o3g2
| 24167/24000
| {{Monzo| -6 -1 -3 0 1 3}}
| 12.005
|
|-
| [[Lesser tendoneutralisma]]
| Sasa-quadtrithu
| ss12(3u)-2
| 70368744177664 / 69894255367443
| {{Monzo| 46 -1 0 0 0 -12 }}
| 11.713
| [[Godtone]] (2024)
|-
| [[Dinos comma]]
| Lathuthuquingu
| L3uu5g1
| 531441/528125
| {{Monzo| 0 12 -5 0 0 -2 }}
| 10.836
| [[Dummy Index]] (2024)
|-
| [[169/168|Buzurgisma, dhanvantarisma]]
| Thothoru
| 3oor1
| 169/168
| {{Monzo| -3 -1 0 -1 0 2 }}
| 10.274
| [[Margo Schulter]] (2012) for ''buzurgisma''
|-
| [[3042/3025|Diagassormisma]]
| Bitholugu
| 2(3o1ug)2
| 3042/3025
| {{Monzo| 1 2 -2 0 -2 2 }}
| 9.7020
| [[User:Xenllium|Xenllium]] (2022)
|-
| Greater nelindic comma
| Thothoquinru-ayoyo
| 3oo5rayy-3
| 16900/16807
| {{Monzo| 2 0 2 -5 0 2 }}
| 9.5532
| [[User:Kaiveran|Kaiveran]] (2019)
|-
| [[1287/1280|Catadictma]]
| Thologu
| 3o1og1
| 1287/1280
| {{Monzo| -8 2 -1 0 1 1 }}
| 9.4419
|
|-
| [[Glacier comma]]
| Quinthu
| 5(3u)-2
| 373248/371293
| {{Monzo| 9 6 0 0 0 -5 }}
| 9.0917
| [[ArrowHead294]] (2024)
|-
| [[196/195|Mynucuma]]
| Thuzozogu
| 3uzzg2
| 196/195
| {{Monzo| 2 -1 -1 2 0 -1 }}
| 8.8554
|
|-
| [[1625/1617|Sopreisma]]
| Tholururutriyo
| 3urr3y-2
| 1625/1617
| {{Monzo| 0 -1 3 -2 -1 1 }}
| 8.54405
| [[User:Recentlymaterialized|Recentlymaterialized]] (2024)
|-
| [[640/637|Huntma]], lesser nelindic comma
| Thururuyo
| 3urry-2
| 640/637
| {{Monzo| 7 0 1 -2 0 -1 }}
| 8.1342
| [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma''
|-
| [[2197/2187|Threedie]]
| Satritho
| s3(3o)2
| 2197/2187
| {{Monzo| 0 -7 0 0 0 3 }}
| 7.8980
|
|-
| [[Tridecimal nakaisma]]
| Quinsa-quadtritrithu-azo
| 5s36(3u)z-4
|
| {{Monzo| 132 -1 0 1 0 -36 }}
| 7.8751
| [[User:原井玉葱郎|Misohito Nakai]] (2025)
|-
| [[4394/4375|Hebrewsma]]
| Tritho-aruquadgu
| 3(3o)r4g2
| 4394/4375
| {{Monzo| 1 0 -4 -1 0 3 }}
| 7.5022
| [[Eliora]] (2022)
|-
| [[1188/1183|Kestrel comma]]
| Thuthuloru
| 3uu1or-2
| 1188/1183
| {{Monzo| 2 3 0 -1 1 -2 }}
| 7.3017
| [[Gene Ward Smith]] (2011)
|-
| [[30E comma|2D9 comma]]
| Thotriyo
| 3o3y7
| 131625/131072
| {{Monzo|-17 4 3 0 0 1}}
| 7.2888
| [https://twitter.com/Regret_March/status/1709762093749252209 Figreflekt] (2023) but [https://twitter.com/Figreflekt/status/1710195052520337680 revised later]{{dead link}}
|-
| [[Brontesisma]]
| Trithu-azozoyo
| 3(3u)zzy1
| 2205/2197
| {{Monzo| 0 2 1 2 0 -3 }}
| 6.2925
| [[Francium]] (2025)
|-
| [[Praveensma]]
| Thoquadzo
| 3o4z3
| 31213/31104
| {{Monzo| -7 -5 0 4 0 1 }}
| 6.0563
| [[Praveen Venkataramana]] (2022)
|-
| [[1573/1568|Lambeth comma]]
| Thobiloru
| 3o2(1or)-2
| 1573/1568
| {{Monzo| -5 0 0 -2 2 1 }}
| 5.5117
| [[Flora Canou]] (2022)
|-
| [[325/324|Marveltwin comma]]
| Thoyoyo
| 3oyy1
| 325/324
| {{Monzo| -2 -4 2 0 0 1 }}
| 5.3351
|
|-
| [[Valerisma]], Hunt 13-cycle comma
| Laquinbitho
| L10(3o)2
| 137858491849 / 137438953472
| {{Monzo| -37 0 0 0 0 10 }}
| 5.2766
| [[Mason Green]] (2016)
|-
| [[351/350|Ratwolfsma]]
| Thorugugu
| 3orgg1
| 351/350
| {{Monzo| -1 3 -2 -1 0 1 }}
| 4.9393
|
|-
| [[352/351|Major minthma, major gentle comma]], 11/13-kleisma
| Thulo
| 3u1o1
| 352/351
| {{Monzo| 5 -3 0 0 1 -1 }}
| 4.9253
| See the page.
|-
| [[364/363|Minor minthma, minor gentle comma]]
| Tholuluzo
| 3o1uuz2
| 364/363
| {{Monzo| 2 -1 0 1 -2 1 }}
| 4.7627
| See the page.
|-
| [[847/845|Cuthbert comma]]
| Bithulo-azogu
| 2(3u1o)zg1
| 847/845
| {{Monzo| 0 0 -1 1 2 -2 }}
| 4.0928
|
|}
 
=== 17-limit commas ===
 
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color notation/Temperament names|Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[2048/2023]]
| Susuru
| 17uur-2
| 2048/2023
| {{Monzo| 11 0 0 -1 0 0 -2 }}
| 21.263
|
|-
| [[85/84|Monk comma]]
| Soruyo
| 17ory1
| 85/84
| {{Monzo| -2 -1 1 -1 0 0 1 }}
| 20.488
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[289/286|Lum comma]]
| Sosothulu
| 17oo3u1u2
| 289/286
| {{Monzo| -1 0 0 0 -1 -1 2 }}
| 18.065
|
|-
| [[2197/2176|Mey comma]]
| Sutritho
| 17u3(3o)1
| 2197/2176
| {{Monzo| -7 0 0 0 0 3 -1 }}
| 16.628
|
|-
| [[429/425|Middle semisixthma]]
| Suthologugu
| 17u3o1ogg1
| 429/425
| {{Monzo| 0 1 -2 0 1 1 -1 }}
| 16.218
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[4131/4096|Septendecimal comma]], Hunt flat 2 comma
| Laso
| L17o1
| 4131/4096
| {{Monzo| -12 5 0 0 0 0 1 }}
| 14.730
| [[Flora Canou]] (2020) for ''septendecimal comma''
|-
| [[120/119|Lynchisma]]
| Suruyo
| 17ury-2
| 120/119
| {{Monzo| 3 1 1 -1 0 0 -1 }}
| 14.487
| [[User:Xenllium|Xenllium]] (2022)
|-
| 23-17-comma, 23 semitone comma
| Trila-twetheso
| 3L23(17o)10
|
| {{Monzo| -94 0 0 0 0 0 23 }}
| 13.974
|
|-
| [[136/135|Diatisma]], diatic comma, <br>fiventeen comma, septendecimal semicomma
| Sogu
| 17og2
| 136/135
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| 12.777
| See the page.
|-
| [[154/153|Augustma]]
| Sulozo
| 17u1oz1
| 154/153
| {{Monzo| 1 -2 0 1 1 0 -1 }}
| 11.278
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[170/169|Major naiadma]]
| Sothuthuyo
| 17o3uuy1
| 170/169
| {{Monzo| 1 0 1 0 0 -2 1 }}
| 10.214
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[2187/2176|Septendecimal schisma]]
| Lasu
| L17u-2
| 2187/2176
| {{Monzo| -7 7 0 0 0 0 -1 }}
| 8.7296
| [[Plainsound Music Edition]] (2020)
|-
| [[1452/1445|Small semisixthma]]
| Susulologu
| 17uu1oog-2
| 1452/1445
| {{Monzo| 2 1 -1 0 2 0 -2 }}
| 8.3664
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[Mean thirds comma]]
| Lasosoyo
| L17ooy1
| 1053405/1048576
| {{Monzo|-20 6 1 0 0 0 2}}
| 7.9545
| [[User:Jerdle|Jerdle]] (2022)
|-
| [[221/220|Minor naiadma]]
| Sotholugu
| 17o3o1ug2
| 221/220
| {{Monzo| -2 0 -1 0 -1 1 1 }}
| 7.8514
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[2057/2048|Blume comma]]
| Sololo
| 17o1oo1
| 2057/2048
| {{monzo| -11 0 0 0 2 0 1 }}
| 7.5913
| [[Douglas Blumeyer]]
|-
| [[256/255|Charisma]], charic comma, <br>septendecimal kleisma
| Sugu
| 17ug1
| 256/255
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| 6.7759
| See the page.
|-
| [[273/272|Tannisma, prototannisma]]
| Suthozo
| 17u3oz1
| 273/272
| {{Monzo| -4 1 0 1 0 1 -1}}
| 6.3532
| [[Scott Dakota]] (2017) for ''tannisma'' <br>[[Flora Canou]] (2023) for ''prototannisma''
|-
| [[289/288|Semitonisma]], septendecimal semitones comma, septendecimal 6-cent comma
| Soso
| 17oo2
| 289/288
| {{Monzo| -5 -2 0 0 0 0 2 }}
| 6.0008
| [[Flora Canou]] (2023) ''for semitonisma''
|-
| [[375/374|Ursulisma]]
| Sulutriyo
| 17u1u3y-2
| 375/374
| {{Monzo| -1 1 3 0 -1 0 -1 }}
| 4.6228
| [[Dawson Berry]], [[User:VIxen|VIxen]] (2023)
|-
| [[442/441|Seminaiadma]]
| Sothoruru
| 17o3orr1
| 442/441
| {{Monzo| 1 -2 0 -2 0 1 1 }}
| 3.9213
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[80-17-comma]], 17-ripple <strike>integer cents</strike> comma{{clarify}}
| Lesa-quinquadquadsu
| 11s80(17u)-32
|
| {{Monzo| 327 0 0 0 0 0 -80 }}
| 3.5672
| [[Eliora]] (2022) for ''80-17-comma''
|}
 
=== 19-limit commas ===
 
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name|Color Name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| 135/133
| Nuruyo
| 19ury-2
| 135/133
| {{Monzo| 0 3 1 -1 0 0 0 -1 }}
| 25.84
|
|-
| [[76/75|Large undevicesimal 1/9-tone]]
| Nogugu
| 19ogg2
| 76/75
| {{Monzo| 2 -1 -2 0 0 0 0 1 }}
| 22.931
|[[User:Xenllium|Xenllium]] (2023)
|-
| [[77/76|Small undevicesimal 1/9-tone]]
| Nulozo
| 19u1oz1
| 77/76
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| 22.631
|[[User:Xenllium|Xenllium]] (2023)
|-
| [[96/95|19th-partial chroma]]
| Nugu
| 19ug1
| 96/95
| {{Monzo| 5 1 -1 0 0 0 0 -1 }}
| 18.128
| [[User:Flirora|Flirora]] (2021)
|-
| [[Ume comma]]
| Nutriso
| 19u3(17o)2
| 4913/4864
| {{Monzo| -8 0 0 0 0 0 3 -1 }}
| 17.353
|
|-
| [[729/722|Undevicesimal diaschisma]]
| Lanunu
| L19uu-2
| 729/722
| {{Monzo| -1 6 0 0 0 0 0 -2 }}
| 16.704
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[6912/6859|Deviaug comma]]
| Trinu
| 3(19u)-2
| 6912/6859
| {{Monzo| 8 3 0 0 0 0 0 -3 }}
| 13.326
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[133/132|Minithirdma]]
| Noluzo
| 19o1uz2
| 133/132
| {{Monzo| -2 -1 0 1 -1 0 0 1 }}
| 13.066
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[153/152|Ganassisma]], Ganassi's comma
| Nuso
| 19u17o1
| 153/152
| {{Monzo| -3 2 0 0 0 0 1 -1 }}
| 11.352
| [[User:Flirora|+merlan #flirora]] (2021)
|-
| [[171/170|Malcolmisma]]
| Nosugu
| 19o17ug1
| 171/170
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| 10.154
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[131072/130321|Undevicesimal Diminished Comma]], Hunt 19-cycle comma
| Saquadnu
| s4(19u)-2
| 131072 / 130321
| {{Monzo| 17 0 0 0 0 0 0 -4 }}
| 9.9479
|
|-
| [[Eye comma]]
| Nubisolu
| 19u2(17o1u)2
| 2312/2299
| {{Monzo| 3 0 0 0 -2 0 2 -1 }}
| 9.7619
|
|-
| [[363/361|Godzillisma]]
| Binulo
| 2(19u1o)-2
| 363/361
| {{Monzo| 0 1 0 0 2 0 0 -2 }}
| 9.5649
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[190/189|Cotylisma]]
| Noruyo
| 19ory1
| 190/189
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
| 9.1358
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[209/208|Yama comma]]
| Nothulo
| 19o3u1o1
| 209/208
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
| 8.3033
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[210/209|Spleen comma]]
| Nuluzoyo
| 19u1uzy1
| 210/209
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| 8.2637
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[1083/1078|Bihendrixma]]
| Nonolururu
| 19oo1urr1
| 1083/1078
| {{Monzo| -1 1 0 -2 -1 0 0 2 }}
| 8.0113
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[286/285|Chthonisma]]
| Nuthologu
| 19u3o1og1
| 286/285
| {{Monzo| 1 -1 -1 0 1 1 0 -1 }}
| 6.0639
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[324/323|Photisma]]
| Nusu
| 19u17u-2
| 324/323
| {{Monzo| 2 4 0 0 0 0 -1 -1 }}
| 5.3516
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[343/342|Nutrisma]]
| Nutrizo
| 19u3z2
| 343/342
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| 5.0547
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Triraptor comma]]
| Trinuso-azogu
| 3(19u17o)zg2
| 34391/34295
| {{Monzo|0 0 -1 1 0 0 3 -3}}
| 4.8394
| [[User:Kaiveran|Kaiveran]] (2023)
|-
| [[361/360|Go comma]], dudon comma
| Nonogu
| 19oog2
| 361/360
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| 4.8023
| [[User:Xenwolf|Xenwolf]] (2013) for ''go comma''
|-
| [[400/399|Devichroma]]
| Nuruyoyo
| 19uryy-2
| 400/399
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
| 4.3335
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[456/455|Abnobisma]]
| Nothurugu
| 19o3urg1
| 456/455
| {{Monzo| 3 1 -1 -1 0 -1 0 1 }}
| 3.8007
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[476/475|Hedwigma]]
| Nusozogugu
| 19u17ozgg2
| 476/475
| {{Monzo| 2 0 -2 1 0 0 1 -1 }}
| 3.6409
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[495/494|Eulalisma]]
| Nuthuloyo
| 19u3u1oy-2
| 495/494
| {{Monzo| -1 2 1 0 1 -1 0 -1 }}
| 3.5010
| [[User:Xenllium|Xenllium]] (2023)
|}
 
=== 23-limit commas ===
{| class="wikitable"
|-
! Name(s)
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Monzo]]
! [[Cent]]s
! Named by
|-
| [[187/184]]
| Twethusolo
| 23u17o1o1
| 187/184
| 2.11.17.23 {{monzo| -3 1 1 -1 }}
| 27.999
|
|-
| [[69/68|Large vicesimotertial 1/8-tone]]
| Twethosu
| 23o17u1
| 69/68
| 2.3.17.23 {{monzo| -2 1 -1 1 }}
| 25.274
|[[User:Xenllium|Xenllium]] (2023)
|-
| [[70/69|Small vicesimotertial 1/8-tone]]
| Twethuzoyo
| 23uzy1
| 70/69
| 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }}
| 24.910
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[92/91|Undinisma]]
| Twethothuru
| 23o3ur1
| 92/91
| 2.7.13.23 {{monzo| 2 -1 -1 1 }}
| 18.921
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[736/729|23-limit Tenney/Cage comma]]
| Satwetho
| s23o2
| 736/729
| 2.3.23 {{monzo| 5 -6 1 }}
| 16.544
| [[Stephen Weigel]] (2023)
|-
| [[115/114|Yarmanisma]]
| Twethonuyo
| 23o19uy1
| 115/114
| 2.3.5.19.23 {{monzo| -1 -1 1 -1 1 }}
| 15.120
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[161/160|Major kirnbergerisma]]
| Twethozogu
| 23ozg2
| 161/160
| 2.5.7.23 {{monzo| -5 -1 1 1 }}
| 10.787
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[162/161|Minor kirnbergerisma]]
| Twethuru
| 23ur-2
| 162/161
| 2.3.7.23 {{monzo| 1 4 -1 -1 }}
| 10.720
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[208/207|Vicetone comma]]
| Twethutho
| 23u3o1
| 208/207
| 2.3.13.23 {{monzo| 4 -2 1 -1 }}
| 8.3433
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[231/230|Major neutravicema]]
| Twethulozogu
| 23u1ozg1
| 231/230
| {{monzo| -1 1 -1 1 1 0 0 0 -1 }}
| 7.5108
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[253/252|Middle neutravicema]]
| Twetholoru
| 23o1or1
| 253/252
| 2.3.7.11.23 {{monzo| -2 -2 -1 1 1 }}
| 6.8564
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[276/275|Minor neutravicema]]
| Twetholugugu
| 23o1ugg2
| 276/275
| 2.3.5.11.23 {{monzo| 2 1 -2 -1 1 }}
| 6.2840
| [[User:Xenllium|Xenllium]] (2023)
|-
| 21-23-comma
| Trisa-septritwethu
| 3s21(23u)-8
| 281474976710656 / <br>280462473659039
| 2.23 {{monzo| 95 -21 }}
| 6.2387
|
|-
| [[300/299|Major naiadvicema]]
| Twethuthuyoyo
| 23u3uyy-2
| 300/299
| 2.3.5.13.23 {{monzo| 2 1 2 -1 -1 }}
| 5.7804
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[323/322|Major semivicema]]
| Twethunosoru
| 23u19o17or1
| 323/322
| 2.7.17.19.23 {{monzo| -1 -1 1 1 -1 }}
| 5.3682
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[391/390|Minor naiadvicema]]
| Twethosothugu
| 23o17o3ug2
| 391/390
| {{monzo| -1 -1 -1 0 0 -1 1 0 1 }}
| 4.4334
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[392/391|Minor semivicema]]
| Twethusuzozo
| 23u17uzz1
| 392/391
| 2.7.17.23 {{monzo| 3 2 -1 -1 }}
| 4.4221
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[460/459|Scanisma, vicewolf comma]]
| Twethosuyo
| 23o17uy1
| 460/459
| 2.3.5.17.23 {{monzo| 2 -3 1 -1 1 }}
| 3.7676
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[484/483|Pittsburghisma]]
| Twethuloloru
| 23u1oor-2
| 484/483
| 2.3.7.11.23 {{monzo| 2 -1 -1 2 -1 }}
| 3.5806
| [[User:Xenllium|Xenllium]] (2023)
|}
 
=== 29-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| Classical mediant of Didymus' and Archytas' commas
| Twenothuluyo
| 29o3u1uy1
| 145/143
| 5.11.13.29 {{monzo| 1 -1 -1 1 }}
| 24.045
|
|-
| [[88/87|Farewell comma]]
| Twenulo
| 29u1o1
| 88/87
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| 19.786
|
|-
| [[116/115|Sironisma]]
| Twenotwethugu
| 29o23ug1
| 116/115
| 2.5.23.29 {{monzo| 2 -1 -1 1 }}
| 14.989
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[117/116|Lomisma]]
| Twenutho
| 29u3o1
| 117/116
| 2.3.13.29 {{monzo| -2 2 1 -1 }}
| 14.860
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[145/144|29th-partial chroma]]
| Twenoyo
| 29oy1
| 145/144
| 2.3.5.29 {{monzo| -4 -2 1 1 }}
| 11.981
| [[User:Flirora|Flirora]] (2023)
|-
| [[175/174|Major chthonovinema]]
| Twenuzoyoyo
| 29uzyy1
| 175/174
| 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }}
| 9.9211
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[204/203|Kallistisma]]
| Twenusoru
| 29u17or1
| 204/203
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }}
| 8.5073
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[232/231|Major paravinema]]
| Twenoluru
| 29o1ur1
| 232/231
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }}
| 7.4783
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[Jackpot comma]]
| Laseptweno
| L7(29o)1
| 17249876309 / 17179869184
| 2.29 {{monzo| -34 7 }}
| 7.0404
| [[Eliora]] (2024)
|-
| [[261/260|Major vinetonema]]
| Twenothugu
| 29o3ug1
| 261/260
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }}
| 6.6458
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[290/289|Brunisma]]
| Twenosusuyo
| 29o17uuy-2
| 290/289
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
| 5.9801
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[320/319|Minor paravinema]]
| Twenuluyo
| 29u1uy1
| 320/319
| 2.5.11.29 {{monzo| 6 1 -1 -1 }}
| 5.4186
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[378/377|Major semivinema]]
| Twenuthuzo
| 29u3uz1
| 378/377
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }}
| 4.5861
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[406/405|Minor semivinema]]
| Twenozogu
| 29ozg2
| 406/405
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }}
| 4.2694
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[494/493|Minor vinetonema]]
| Twenunosutho
| 29u19o17u3o1
| 494/493
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }}
| 3.5081
| [[User:Xenllium|Xenllium]] (2024)
|}
 
=== 31-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[63/62|31-limit co-archyta]]
| Thiwuzo
| 31uz2
| 63/62
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| 27.700
| [[Xenwolf]] (2020)
|-
| [[93/92|Tricema]]
| Thiwotwethu
| 31o23u-2
| 93/92
| 2.3.23.31 {{monzo| -2 1 -1 1 }}
| 18.716
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[125/124|Twizzler]]
| Thiwutriyo
| 31u3y1
| 125/124
| 2.5.31 {{monzo| -2 3 -1 }}
| 13.906
| [[Xenwolf]] (2020)
|-
| [[155/154|Scyllisma]]
| Thiwoluruyo
| 31o1ury-2
| 155/154
| 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }}
| 11.205
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[156/155|Xanthippisma]]
| Thiwuthogu
| 31u3og2
| 156/155
| 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }}
| 11.133
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[187/186|Lambertisma]]
| Thiwusolo
| 31u17o1o2
| 187/186
| 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }}
| 9.2828
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[217/216|Tricesimoprimal kleisma]]
| Thiwozo
| 31oz1
| 217/216
| 2.3.7.31 {{monzo| -3 -3 1 1 }}
| 7.9965
|
|-
| [[248/247|Lameisma]]
| Thiwonuthu
| 31o19u3u-2
| 248/247
| 2.13.19.31 {{monzo| 3 -1 -1 1 }}
| 6.9949
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[280/279|Tricetone comma]]
| Thiwuzoyo
| 31uzy2
| 280/279
| 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }}
| 6.1940
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[Junebug comma]]
| Thiwutweno twethunuso tholuzoyo
| 31u29o23u19u 17o3o1uzy2
| 448630/447051
| {{monzo| 1 -1 1 1 -1 1 1 -1 -1 1 -1 }}
| 6.1040
| [[Tristan Bay]] (2024)
|-
| [[341/340|Californisma]]
| Thiwosulogu
| 31o17u1og-2
| 341/340
| 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }}
| 5.0844
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[342/341|Endymisma]]
| Thiwunolu
| 31u19o1u2
| 342/341
| 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }}
| 5.0695
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[435/434|Chinthisma]]
| Thiwutwenoruyo
| 31u29ory1
| 435/434
| 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }}
| 3.9844
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[465/464|Alektisma]]
| Thiwotwenuyo
| 31o29uy-2
| 465/464
| 2.3.5.29.31 {{monzo| -4 1 1 -1 1 }}
| 3.7271
| [[User:Xenllium|Xenllium]] (2025)
|}
 
=== Higher-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[714984/704969|Lightyear comma]]
|
| 89u<sup>3</sup>31o<sup>3</sup>-2
| 714984/704969
| 2.3.31.89 {{monzo| 3 1 3 -3 }}
| 24.421
| [[Budjarn Lambeth]] (2023)
|-
| [[82/81|41-limit Johnston comma]]
| Fowo
| 41o1
| 82/81
| 2.3.41 {{monzo| 1 -4 1 }}
| 21.242
| [[Stephen Weigel]] (2023)
|-
| [[2883/2848|Lilac comma]]
|
| 89u31oo-2
| 2883/2848
| 2.3.31.89 {{monzo| -5 1 2 -1 }}
| 21.146
| [[Budjarn Lambeth]] (2023)
|-
| [[86/85|43-limit 10th-tone]], large quadracesimotertial 1/10-tone
| Fothosugu
| 43o17ug1
| 86/85
| 2.5.17.43 {{monzo| 1 -1 -1 1 }}
| 20.249
| [[Mister Shaf]] (2025)
|-
| [[87/86|43-limit 10th-tone]], small quadracesimotertial 1/10-tone
| Fothutweno
| 43u29o1
| 87/86
| 2.3.29.43 {{monzo| -1 1 1 -1 }}
| 20.014
|
|-
| [[89/88|Tailwind comma]]
|
| 89o1u1
| 89/88
| 2.11.89 {{monzo| -3 -1 1 }}
| 19.562
| [[Budjarn Lambeth]] (2023)
|-
| [[389/385|Rebbe comma]]
|
| 389o1urg1
| 389/385
| 5.7.11.389 {{monzo| -1 -1 -1 1 }}
| 17.8794
| [[Mister Shaf]] (2025)
|-
| [[8277/8192|Lilly pilly comma]]
|
| 89o31o-2
| 8277/8192
| 2.3.31.89 {{monzo| -13 1 1 1 }}
| 17.871
| [[Budjarn Lambeth]] (2023)
|-
| [[8000/7921|Incisor comma]]
|
| 89uu3y1
| 8000/7921
| 2.5.89 {{monzo| 6 3 -2 }}
| 17.181
| [[Budjarn Lambeth]] (2023)
|-
| [[129/128|43-limit Johnston comma]]
| Fotho
| 43o1
| 129/128
| 2.3.43 {{monzo| -7 1 1 }}
| 13.473
| [[Stephen Weigel]] (2023)
|-
| [[979/972|Basement comma]]
|
| 89o1o1
| 979/972
| 2.3.11.89 {{monzo| -2 -5 1 1 }}
| 12.423
| [[Budjarn Lambeth]] (2023)
|-
| [[226/225|Reversed marvel comma]]
|
| 113ogg2
| 226/225
| 2.3.5.113 {{monzo| 1 -2 -2 1 }}
| 7.6773
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[Sidereal comma]]
|
| 73u61og1
| 366/365
| 2.3.5.61.73 {{monzo| 1 1 -1 1 -1 }}
| 4.7366
| [[User:Frostburn|Frostburn]] (2024)
|-
| [[381/380|Five feet comma]]
|
| 127o19ug1
| 381/380
| 2.3.5.19.127 [-2 1 -1 -1 1⟩
| 4.5499
| [[Eliora]] (2022)
|-
| [[481/480|Semaphorisma]]
| Thisothogu
| 37o3og2
| 481/480
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 3.6030
| [[User:Kaiveran|Kaiveran]] (2023)
|}
 
== List of irrational commas ==
For intervals expressible as edosteps, see [[Interval size measure]]. We skip them here for brevity.
 
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[Caffeinterval]]
|
|
| 2<sup>((7/12) - (1/sqrt(3)))</sup>
|
| 7.1797
| [[User:R-4981|R-4981]] (2023)
|}
 
== See also ==
* [[Comma and diesis]]
 
[[Category:Small commas| ]] <!-- main article -->
[[Category:Lists of commas]]
{{todo|complete table|add color name}}
Retrieved from "https://en.xen.wiki/w/Small_comma"