Small comma

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This revision was by author xenwolf and made on 2016-12-29 11:51:02 UTC.
The original revision id was 602894648.
The revision comment was: removed tel links

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<span style="display: block; text-align: right;">[[xenharmonie/Komma|Deutsch]]
</span>
=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, and 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, as well as the size in [[cent]]s.

For commas over 100 cents in size, see [[Large commas]]; and for commas under 3.5 cents in size, see [[Unnoticeable commas]]

=List of commas, by prime limit= 
==3-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 > || 90.225 ||
|| [[Pythagorean comma]] ||   || | -19 12 > || 23.460 ||
|| [[17-comma]] ||   || | 27 -17 > || 66.765 ||
|| [[29-comma]] ||   || | 46 -29 > || 43.305 ||
|| [[41-comma]] ||   || | 65 -41 > || 19.845 ||
|| Pythagorean Integer cents comma ||   || | 317 -200 > || 9.000 ||
|| [[Mercator's comma]], 53-comma ||   || | -84 53 > || 3.615 ||
|| 70-comma ||   || | 111 -70 > || 63.150 ||
==5-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| Twenty-two thirds limma ||   || | -51 0 22 > || 98.902 ||
|| sibbolet ||   || | -58 0 25 > || 57.843 ||
|| Hunt 5-cycle comma ||   || | -65 0 28 > || 16.784 ||
|| acute thirds comma ||   || | 72 0 -31 > || 24.275 ||
|| 34-5-comma ||   || | 79 0 -34 > || 65.334 ||
|| Schismic thirds chromatic semitone ||   || | -123 0 53 > || 74.627 ||
|| 10-15-comma ||   || | -39 10 10 > || 82.687 ||
|| 11-15-comma ||   || | 43 -11 -11 > || 29.044 ||
|| 21-15-comma ||   || | 82 -21 -21 > || 53.643 ||
|| 32-15-comma ||   || | 125 -32 -32 > || 24.599 ||
|| Huntian 15-cycle comma ||   || | -168 43 43 > || 4.445 ||
|| 53-15-comma ||   || | -207 53 53 > || 78.242 ||
|| 54-15-comma ||   || | 211 -54 -54 > || 33.489 ||
|| 76-15-comma ||   || | 297 -76 -76 > || 91.578 ||
|| major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 > || 92.179 ||
|| ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 ||
|| doublewide ||   || | -9 -6 8 > || 78.780 ||
|| sevond ||   || | 6 -14 7 > || 76.826 ||
|| nusecond ||   || | 5 13 -11 > || 75.964 ||
|| sentinel ||   || | -33 15 4 > || 74.580 ||
|| chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 > || 70.672 ||
|| superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 > || 68.719 ||
|| major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 ||
|| passion ||   || | 18 -4 -5 > || 60.611 ||
|| shibboleth ||   || | -5 -10 9 > || 57.273 ||
|| mynic ||   || | 9 9 -10 > || 54.458 ||
|| tritonic ||   || | -29 11 5 > || 53.074 ||
|| [[negri comma]], double augmentation diesis || 16875 / 16384 || | -14 3 4 > || 51.120 ||
|| maximal diesis, porcupine comma || [[250_243|250 / 243]] || | 1 -5 3 > || 49.166 ||
|| immunity ||   || | 16 -13 2 > || 47.212 ||
|| diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 > || 41.059 ||
|| wizard ||   || | -31 2 12 > || 39.675 ||
|| sycamore ||   || | -16 -6 11 > || 37.721 ||
|| fifive ||   || | -1 -14 10 > || 35.767 ||
|| unicorn ||   || | -2 13 -8 > || 34.905 ||
|| valensixthtone ||   || | 13 5 -9 > || 32.952 ||
|| [[ampersand]], Ampersand's comma ||   || | -25 7 6 > || 31.567 ||
|| small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 > || 29.614 ||
|| minimal diesis, [[tetracot comma]] || 20000 / 19683 || | 5 -9 4 > || 27.660 ||
|| roda ||   || | 20 -17 3 > || 25.706 ||
|| maja ||   || | -3 -23 17 > || 22.368 ||
|| syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 > || 21.506 ||
|| [[Maquila family|maquila comma]] ||   || | 49 -6 -17 > || 20.937 ||
|| [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 > || 19.553 ||
|| ditonma ||   || | -27 -2 13 > || 18.168 ||
|| [[misty comma]] ||   || | 26 -12 -3 > || 17.599 ||
|| [[Pental family|pental comma]] ||   || | -28 25 -5 > || 17.306 ||
|| [[graviton]], [[Gravity family|gravity]] comma ||   || | -13 17 -6 > || 15.353 ||
|| quartonic ||   || | 3 -18 11 > || 14.261 ||
|| medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 ||
|| [[Würschmidt comma]] ||   || | 17 1 -8 > || 11.445 ||
|| [[semicomma]], Fokker comma ||   || | -21 3 7 > || 10.061 ||
|| [[escapade comma]] ||   || | 32 -7 -9 > || 9.492 ||
|| [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 ||
|| unidecma ||   || | -7 22 -12 > || 7.245 ||
|| [[mutt comma]] ||   || | -44 -3 21 > || 6.723 ||
|| [[amity comma]] ||   || | 9 -13 5 > || 6.154 ||
|| [[parakleisma]] ||   || | 8 14 -13 > || 5.292 ||
|| gammic comma ||   || | -29 -11 20 > || 4.769 ||
|| [[vulture comma]] ||   || | 24 -21 4 > || 4.200 ||
|| 23-3/5-comma ||   || | 17 23 -23 > || 59.750 ||
|| 34-3/5-comma ||   || | -25 -34 34 > || 68.196 ||
|| 53-3/5-comma ||   || | 39 53 -53 > || 71.012 ||

==7-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| hexadecatone comma, 16-7-comma ||   || | 45 0 0 -16 > || 98.7855 ||
|| 21-7-comma ||   || | 59 0 0 -21 > || 54.656 ||
|| Hunt 7-cycle comma ||   || | 73 0 0 -26 > || 10.526 ||
|| German sixth comma ||   || | -87 0 0 31 > || 33.603 ||
|| large deep red comma || 6561 / 6272 || | -7, 8, 0 -2 > || 77.988 ||
|| 36-7-comma ||   || | -101 0 0 36 > || 77.737 ||
|| 47-7-comma ||   || | 132 0 0 0 -47 > || 65.182 ||
|| slendro integer cents comma ||   || | 1127 0 0 -400 > || 69.637 ||
|| 29-7/5-comma ||   || | -14 0 -29 29 > || 92.854 ||
|| 31-7/5-comma ||   || | -15 0 -31 31 > || 57.878 ||
|| 33-7/5-comma ||   || | -16 0 -33 33 > || 22.902 ||
|| 35-7/5-comma ||   || | 18 0 35 -35 > || 12.073 ||
|| 37-7/5-comma ||   || | 19 0 37 -37 > || 47.049 ||
|| 39-7/5-comma ||   || | 20 0 39 -39 > || 82.0245 ||
|| 5-21-comma ||   || | 22 -5 0 -5 > || 46.0955 ||
|| 18-21-comma ||   || | -79 18 0 18 > || 74.056 ||
|| 23-21-comma ||   || | -101 23 0 23 > || 27.961 ||
|| Huntian 21-cycle comma ||   || | 123 -28 0 -28 > || 18.135 ||
|| 33-21-comma ||   || | 145 -33 0 -33 > || 64.230 ||
|| 8-35-comma ||   || | -41 0 8 8 > || 41.117 ||
|| 15-35-comma ||   || | 77 0 -15 -15 > || 72.906 ||
|| 23-35-comma ||   || | 118 0 -23 -23 > || 31.789 ||
|| 31-35-comma ||   || | -159 0 31 31 > || 9.328 ||
|| 39-35-comma ||   || | -200 0 39 39 > || 50.445 ||
|| 47-35-comma ||   || | -241 0 47 47 > || 91.562 ||
|| Huntian 35-cycle comma ||   || | 277 0 -54 -54 > || 22.4605 ||
|| greenwoodma || 405 / 392 || | -3 4 1 -2 > || 56.482 ||
|| Harrison's comma || [[59049_57344|59049 / 57344]] || | -13 10 0 -1 > || 50.724 ||
|| keega || 1029 / 1000 || | -3 1 -3 3 > || 49.492 ||
|| septimal quarter tone || [[36_35|36 / 35]] || | 2 2 -1 -1 > || 48.770 ||
|| quarter tone comma ||   || | 49 50 -25 -25 > || 19.2595 ||
|| cloudy || 16807 / 16384 || | -14 0 0 5 > || 44.130 ||
|| Avicenna, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 ||
|| slendro diesis || [[49_48|49 / 48]] || | -4 -1 0 2 > || 35.597 ||
|| slendro 34-comma ||   || | -137 -34 0 68 > || 13.692 ||
|| 34-jubilismic comma ||   || | -33 0 -68 68 > || 10.829 ||
|| tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 ||
|| eric ||   || | 7 8 0 -7 > || 33.859 ||
|| senga || 686 / 675 || | 1 -3 -2 3 > || 27.985 ||
|| septimal comma, Archytas' comma, Leipziger Komma || [[64_63|64 / 63]] || | 6 -2 0 -1 > || 27.264 ||
|| blackjackisma ||   || | -10 7 8 -7 > || 22.413 ||
|| squalentine || 64827 / 64000 || | -9 3 -3 4 > || 22.227 ||
|| keema || 875 / 864 || | -5 -3 3 1 > || 21.902 ||
|| gariboh || 3125 / 3087 || | 0 -2 5 -3 > || 21.181 ||
|| nuwell || 2430 / 2401 || | 1 5 1 -4 > || 20.785 ||
|| tolerma ||   || | 10 -11 2 1 > || 19.948 ||
|| mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 ||
|| trimyna || 50421 / 50000 || | -4 1 -5 5 > || 14.516 ||
|| sensamagic || 245 / 243 || | 0 -5 1 2 > || 14.191 ||
|| septimal semicomma, starling comma || [[126_125|126 / 125]] || | 1 2 -3 1 > || 13.795 ||
|| octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 ||
|| orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 ||
|| quince ||   || | -15 0 -2 7 > || 9.154 ||
|| gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 ||
|| varunisma ||   || | -9 8 -4 2 > || 8.037 ||
|| septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 > || 7.712 ||
|| dimcomp ||   || | -1 -4 8 -4 > || 7.386 ||
|| cataharry || 19683 / 19600 || | -4 9 -2 -2 > || 7.316 ||
|| mirkwai || 16875 / 16807 || | 0 3 4 -5 > || 6.990 ||
|| stearnsma ||   || | 1 10 0 -6 > || 6.595 ||
|| hemimage || 10976 / 10935 || | 5 -7 -1 3 > || 6.479 ||
|| hemimean || 3136 / 3125 || | 6 0 -5 2 > || 6.083 ||
|| hemifamity || 5120 / 5103 || | 10 -6 1 -1 > || 5.758 ||
|| linus ||   || | 11 -10 -10 10 > || 5.572 ||
|| porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 ||
|| garischisma ||   || | 25 -14 0 -1 > || 3.804 ||
|| wadisma ||   || | -26 -1 1 9 > || 3.792 ||
|| quasiorwellisma ||   || | 22 -1 -10 1 > || 3.734 ||
|| [[218edo]] (stacked 7/4 and 10/9) comma ||   || | 22 -32 16 -3 > || 11.982 ||

==11-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| 11-cycle chroma, 11-11-comma ||   || | -38 0 0 0 11 > || 64.497 ||
|| 11-cycle major seventh prote, 35-11-comma ||   || | -121 0 0 0 35 > || 96.128 ||
|| Hunt 11-cycle comma ||   || | -83 0 0 0 24 > || 31.631 ||
|| Hunt flat 5 comma || 8192 / 8019 || | 13 -6 0 0 -1 > || 36.952 ||
|| sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 ||
|| the Igs boson<span style="line-height: 1.5;">, 13-11-comma</span> ||   || | 45 0 0 0 -13 > || 32.867 ||
|| telepathma || 55 / 54 || | -1 -3 1 0 1 > || 31.767 ||
|| thuja comma ||   || | 15 0 1 0 -5 > || 29.724 ||
|| sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 ||
|| sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 ||
|| cassacot || 245 / 242 || | -1 0 1 2 -2 > || 21.330 ||
|| [[mothwellsmic triad|mothwellsma]] || 99 / 98 || | -1 2 0 -2 1 > || 17.576 ||
|| [[ptolemismic triad|ptolemisma]] || [[100_99|100 / 99]] || | 2 -2 2 0 -1 > || 17.399 ||
|| hemimin || 1344 / 1331 || | 6 1 0 1 -3 > || 16.827 ||
|| biyatisma || 121 / 120 || | -3 -1 -1 0 2 > || 14.367 ||
|| aphrowe || 1331 / 1323 || | 0 -3 0 -2 3 > || 10.437 ||
|| [[valinorsmic chords|valinorsma]] || 176 / 175 || | 4 0 -2 -1 1 > || 9.865 ||
|| [[pentacircle comma|pentacircle]] || 896 / 891 || | 7 -4 0 1 -1 > || 9.688 ||
|| orgonisma || 65536 / 65219 || | 16 0 0 -2 -3 > || 8.394 ||
|| [[rastmic chords|rastma]] || 243 / 242 || | -1 5 0 0 -2 > || 7.139 ||
|| myhemiwell || 3388 / 3375 || | 2 -3 -3 1 2 > || 6.656 ||
|| [[keenanismic chords|keenanisma]] || [[385_384|385 / 384]] || | -7 -1 1 1 1 > || 4.503 ||
|| [[werckismic chords|werckisma]] || 441 / 440 || | -3 2 -1 2 -1 > || 3.930 ||
|| moctdel || 1375 / 1372 || | -2 0 3 -3 1 > || 3.781 ||

==13-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| Hunt 13-cycle comma ||   || | -37 0 0 0 0 0 10 > || 5.277 ||
|| <span style="font-size: 12.8000001907349px;">silver half cents comma</span> ||   || <span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 ></span> || <span style="font-size: 12.8000001907349px;">66.389</span> ||
|| Hunt minor submediant comma || 1053 / 1024 || | -10 4 0 0 0 0 1 > || 48.348 ||
|| astburyp ||   || | -19 -2 0 0 0 6 > || 39.255 ||
|| wilsorma || 65 / 64 || | -6 0 1 0 0 1 > || 26.841 ||
|| winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 > || 26.432 ||
|| negustma || 78 / 77 || | 1 1 0 -1 -1 1 > || 22.229 ||
|| superleap || 91 / 90 || | -1 -2 -1 1 0 1 > || 19.130 ||
|| animist || 105 / 104 || | -3 1 1 1 0 -1 > || 16.567 ||
|| secorian || 28672 / 28431 || | 12 -7 0 1 0 -1 > || 14.613 ||
|| mosaic || 3159 / 3136 || |-6 5 0 -2 0 1> || 12.651 ||
|| gassorma || 275 / 273 || | 0 -1 2 -1 1 -1 > || 12.637 ||
|| [[grossma]] || 144 / 143 || | 4 2 0 0 -1 -1 > || 12.064 ||
|| buzurgisma, dhanvantarisma || 169 / 168 || | -3 -1 0 -1 0 2 > || 10.274 ||
|| catadictma || 1287 / 1280 || | -8 2 -1 0 1 1 > || 9.442 ||
|| [[mynucumic chords|mynucuma]] || 196 / 195 || | 2 -1 -1 2 0 -1 > || 8.855 ||
|| [[huntmic chords|huntma]] || 640 / 637 || | 7 0 1 -2 0 -1 > || 8.134 ||
|| [[threedie]] || 2197 / 2187 || | 0 -7 0 0 0 3 > || 7.897 ||
|| [[kestrel chords|kestrel comma]] || 1188 / 1183 || | 2 3 0 -1 1 -2 > || 7.302 ||
|| [[marveltwin]] || 325 / 324 || | -2 -4 2 0 0 1 > || 5.335 ||
|| [[ratwolf triad|ratwolfsma]] || 351 / 350 || | -1 3 -2 -1 0 1 > || 4.939 ||
|| [[minthmic chords|minthma]] || 352 / 351 || | 5 -3 0 0 1 -1 > || 4.925 ||
|| [[gentle chords|gentle comma]] || 364 / 363 || | 2 -1 0 1 -2 1 > || 4.763 ||
|| [[cuthbert triad|cuthbert]] || 847 / 845 || | 0 0 -1 1 2 -2 > || 4.093 ||

==17-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| 11 semitone comma ||   || | 45 0 0 0 0 0 -11 > || 45.4905 ||
|| 12 semitone comma ||   || | -49 0 0 0 0 0 12 > || 59.465 ||
|| 23 semitone comma ||   || | -93 0 0 0 0 0 23 > || 13.974 ||
|| Hunt 17-cycle comma ||   || | -138 0 0 0 0 0 34 > || 31.516 ||
|| 17-ripple integer cents comma ||   || | 327 0 0 0 0 0 -80 > || 3.568 ||
|| Hunt flat 2 comma || 4131 / 4096 || | -12 5 0 0 0 0 1 > || 14.730 ||
|| Blume comma || 2057 / 2048 || | -11 0 0 0 2 0 1 > || 7.591 ||
|| Septendecimal Integer Cents comma || 289 / 288 || | -5 -2 0 0 0 0 2 > || 6.001 ||

==19-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| Hunt 19-cycle comma ||   || | 17 0 0 0 0 0 0 -4 > || 9.950 ||
|| spleen comma || 210 / 209 || | 1 1 1 1 -1 0 0 -1 > || 8.264 ||
|| go comma || 361 / 360 || | -3 -2 -1 0 0 0 0 2 > || 4.802 ||
[[media type="custom" key="25699772"]]

Original HTML content:

<html><head><title>Comma</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/Komma">Deutsch</a><br />
</span><br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Definition"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definition</h1>
 A <strong>comma</strong> is a small interval that occurs in <a class="wiki_link" href="/just%20intonation">just intonation</a>, 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, and generally in a <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em><a class="wiki_link" href="/tempering%20out">tempered out</a></em>, 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 <a class="wiki_link" href="/Meantone">meantone temperament</a>. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in <a class="wiki_link" href="/cent">cent</a>s.<br />
<br />
For commas over 100 cents in size, see <a class="wiki_link" href="/Large%20commas">Large commas</a>; and for commas under 3.5 cents in size, see <a class="wiki_link" href="/Unnoticeable%20commas">Unnoticeable commas</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:3 -->List of commas, by prime limit</h1>
 <!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="List of commas, by prime limit-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->3-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>limma, Pythagorean minor second<br />
</td>
        <td><a class="wiki_link" href="/256_243">256 / 243</a><br />
</td>
        <td>| 8 -5 &gt;<br />
</td>
        <td>90.225<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br />
</td>
        <td><br />
</td>
        <td>| -19 12 &gt;<br />
</td>
        <td>23.460<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17-comma">17-comma</a><br />
</td>
        <td><br />
</td>
        <td>| 27 -17 &gt;<br />
</td>
        <td>66.765<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/29-comma">29-comma</a><br />
</td>
        <td><br />
</td>
        <td>| 46 -29 &gt;<br />
</td>
        <td>43.305<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/41-comma">41-comma</a><br />
</td>
        <td><br />
</td>
        <td>| 65 -41 &gt;<br />
</td>
        <td>19.845<br />
</td>
    </tr>
    <tr>
        <td>Pythagorean Integer cents comma<br />
</td>
        <td><br />
</td>
        <td>| 317 -200 &gt;<br />
</td>
        <td>9.000<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br />
</td>
        <td><br />
</td>
        <td>| -84 53 &gt;<br />
</td>
        <td>3.615<br />
</td>
    </tr>
    <tr>
        <td>70-comma<br />
</td>
        <td><br />
</td>
        <td>| 111 -70 &gt;<br />
</td>
        <td>63.150<br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="List of commas, by prime limit-5-limit commas"></a><!-- ws:end:WikiTextHeadingRule:7 -->5-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>Twenty-two thirds limma<br />
</td>
        <td><br />
</td>
        <td>| -51 0 22 &gt;<br />
</td>
        <td>98.902<br />
</td>
    </tr>
    <tr>
        <td>sibbolet<br />
</td>
        <td><br />
</td>
        <td>| -58 0 25 &gt;<br />
</td>
        <td>57.843<br />
</td>
    </tr>
    <tr>
        <td>Hunt 5-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -65 0 28 &gt;<br />
</td>
        <td>16.784<br />
</td>
    </tr>
    <tr>
        <td>acute thirds comma<br />
</td>
        <td><br />
</td>
        <td>| 72 0 -31 &gt;<br />
</td>
        <td>24.275<br />
</td>
    </tr>
    <tr>
        <td>34-5-comma<br />
</td>
        <td><br />
</td>
        <td>| 79 0 -34 &gt;<br />
</td>
        <td>65.334<br />
</td>
    </tr>
    <tr>
        <td>Schismic thirds chromatic semitone<br />
</td>
        <td><br />
</td>
        <td>| -123 0 53 &gt;<br />
</td>
        <td>74.627<br />
</td>
    </tr>
    <tr>
        <td>10-15-comma<br />
</td>
        <td><br />
</td>
        <td>| -39 10 10 &gt;<br />
</td>
        <td>82.687<br />
</td>
    </tr>
    <tr>
        <td>11-15-comma<br />
</td>
        <td><br />
</td>
        <td>| 43 -11 -11 &gt;<br />
</td>
        <td>29.044<br />
</td>
    </tr>
    <tr>
        <td>21-15-comma<br />
</td>
        <td><br />
</td>
        <td>| 82 -21 -21 &gt;<br />
</td>
        <td>53.643<br />
</td>
    </tr>
    <tr>
        <td>32-15-comma<br />
</td>
        <td><br />
</td>
        <td>| 125 -32 -32 &gt;<br />
</td>
        <td>24.599<br />
</td>
    </tr>
    <tr>
        <td>Huntian 15-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -168 43 43 &gt;<br />
</td>
        <td>4.445<br />
</td>
    </tr>
    <tr>
        <td>53-15-comma<br />
</td>
        <td><br />
</td>
        <td>| -207 53 53 &gt;<br />
</td>
        <td>78.242<br />
</td>
    </tr>
    <tr>
        <td>54-15-comma<br />
</td>
        <td><br />
</td>
        <td>| 211 -54 -54 &gt;<br />
</td>
        <td>33.489<br />
</td>
    </tr>
    <tr>
        <td>76-15-comma<br />
</td>
        <td><br />
</td>
        <td>| 297 -76 -76 &gt;<br />
</td>
        <td>91.578<br />
</td>
    </tr>
    <tr>
        <td>major chroma, major limma, pelogic comma<br />
</td>
        <td><a class="wiki_link" href="/135_128">135 / 128</a><br />
</td>
        <td>| -7 3 1 &gt;<br />
</td>
        <td>92.179<br />
</td>
    </tr>
    <tr>
        <td>ripple<br />
</td>
        <td>6561 / 6250<br />
</td>
        <td>| -1 8 -5 &gt;<br />
</td>
        <td>84.071<br />
</td>
    </tr>
    <tr>
        <td>doublewide<br />
</td>
        <td><br />
</td>
        <td>| -9 -6 8 &gt;<br />
</td>
        <td>78.780<br />
</td>
    </tr>
    <tr>
        <td>sevond<br />
</td>
        <td><br />
</td>
        <td>| 6 -14 7 &gt;<br />
</td>
        <td>76.826<br />
</td>
    </tr>
    <tr>
        <td>nusecond<br />
</td>
        <td><br />
</td>
        <td>| 5 13 -11 &gt;<br />
</td>
        <td>75.964<br />
</td>
    </tr>
    <tr>
        <td>sentinel<br />
</td>
        <td><br />
</td>
        <td>| -33 15 4 &gt;<br />
</td>
        <td>74.580<br />
</td>
    </tr>
    <tr>
        <td>chromatic semitone<br />
</td>
        <td><a class="wiki_link" href="/25_24">25 / 24</a><br />
</td>
        <td>| -3 -1 2 &gt;<br />
</td>
        <td>70.672<br />
</td>
    </tr>
    <tr>
        <td>superpyth, grave minor second<br />
</td>
        <td>20480 / 19683<br />
</td>
        <td>| 12 -9 1 &gt;<br />
</td>
        <td>68.719<br />
</td>
    </tr>
    <tr>
        <td>major diesis, diminished comma<br />
</td>
        <td><a class="wiki_link" href="/648_625">648 / 625</a><br />
</td>
        <td>| 3 4 -4 &gt;<br />
</td>
        <td>62.565<br />
</td>
    </tr>
    <tr>
        <td>passion<br />
</td>
        <td><br />
</td>
        <td>| 18 -4 -5 &gt;<br />
</td>
        <td>60.611<br />
</td>
    </tr>
    <tr>
        <td>shibboleth<br />
</td>
        <td><br />
</td>
        <td>| -5 -10 9 &gt;<br />
</td>
        <td>57.273<br />
</td>
    </tr>
    <tr>
        <td>mynic<br />
</td>
        <td><br />
</td>
        <td>| 9 9 -10 &gt;<br />
</td>
        <td>54.458<br />
</td>
    </tr>
    <tr>
        <td>tritonic<br />
</td>
        <td><br />
</td>
        <td>| -29 11 5 &gt;<br />
</td>
        <td>53.074<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/negri%20comma">negri comma</a>, double augmentation diesis<br />
</td>
        <td>16875 / 16384<br />
</td>
        <td>| -14 3 4 &gt;<br />
</td>
        <td>51.120<br />
</td>
    </tr>
    <tr>
        <td>maximal diesis, porcupine comma<br />
</td>
        <td><a class="wiki_link" href="/250_243">250 / 243</a><br />
</td>
        <td>| 1 -5 3 &gt;<br />
</td>
        <td>49.166<br />
</td>
    </tr>
    <tr>
        <td>immunity<br />
</td>
        <td><br />
</td>
        <td>| 16 -13 2 &gt;<br />
</td>
        <td>47.212<br />
</td>
    </tr>
    <tr>
        <td>diesis, augmented comma<br />
</td>
        <td><a class="wiki_link" href="/128_125">128 / 125</a><br />
</td>
        <td>| 7 0 -3 &gt;<br />
</td>
        <td>41.059<br />
</td>
    </tr>
    <tr>
        <td>wizard<br />
</td>
        <td><br />
</td>
        <td>| -31 2 12 &gt;<br />
</td>
        <td>39.675<br />
</td>
    </tr>
    <tr>
        <td>sycamore<br />
</td>
        <td><br />
</td>
        <td>| -16 -6 11 &gt;<br />
</td>
        <td>37.721<br />
</td>
    </tr>
    <tr>
        <td>fifive<br />
</td>
        <td><br />
</td>
        <td>| -1 -14 10 &gt;<br />
</td>
        <td>35.767<br />
</td>
    </tr>
    <tr>
        <td>unicorn<br />
</td>
        <td><br />
</td>
        <td>| -2 13 -8 &gt;<br />
</td>
        <td>34.905<br />
</td>
    </tr>
    <tr>
        <td>valensixthtone<br />
</td>
        <td><br />
</td>
        <td>| 13 5 -9 &gt;<br />
</td>
        <td>32.952<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma<br />
</td>
        <td><br />
</td>
        <td>| -25 7 6 &gt;<br />
</td>
        <td>31.567<br />
</td>
    </tr>
    <tr>
        <td>small diesis, <a class="wiki_link" href="/magic%20comma">magic comma</a><br />
</td>
        <td>3125 / 3072<br />
</td>
        <td>| -10 -1 5 &gt;<br />
</td>
        <td>29.614<br />
</td>
    </tr>
    <tr>
        <td>minimal diesis, <a class="wiki_link" href="/tetracot%20comma">tetracot comma</a><br />
</td>
        <td>20000 / 19683<br />
</td>
        <td>| 5 -9 4 &gt;<br />
</td>
        <td>27.660<br />
</td>
    </tr>
    <tr>
        <td>roda<br />
</td>
        <td><br />
</td>
        <td>| 20 -17 3 &gt;<br />
</td>
        <td>25.706<br />
</td>
    </tr>
    <tr>
        <td>maja<br />
</td>
        <td><br />
</td>
        <td>| -3 -23 17 &gt;<br />
</td>
        <td>22.368<br />
</td>
    </tr>
    <tr>
        <td>syntonic comma, Didymos comma, meantone comma<br />
</td>
        <td><a class="wiki_link" href="/81_80">81 / 80</a><br />
</td>
        <td>| -4 4 -1 &gt;<br />
</td>
        <td>21.506<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Maquila%20family">maquila comma</a><br />
</td>
        <td><br />
</td>
        <td>| 49 -6 -17 &gt;<br />
</td>
        <td>20.937<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/diaschisma">diaschisma</a><br />
</td>
        <td>2048 / 2025<br />
</td>
        <td>| 11 -4 -2 &gt;<br />
</td>
        <td>19.553<br />
</td>
    </tr>
    <tr>
        <td>ditonma<br />
</td>
        <td><br />
</td>
        <td>| -27 -2 13 &gt;<br />
</td>
        <td>18.168<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/misty%20comma">misty comma</a><br />
</td>
        <td><br />
</td>
        <td>| 26 -12 -3 &gt;<br />
</td>
        <td>17.599<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Pental%20family">pental comma</a><br />
</td>
        <td><br />
</td>
        <td>| -28 25 -5 &gt;<br />
</td>
        <td>17.306<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/graviton">graviton</a>, <a class="wiki_link" href="/Gravity%20family">gravity</a> comma<br />
</td>
        <td><br />
</td>
        <td>| -13 17 -6 &gt;<br />
</td>
        <td>15.353<br />
</td>
    </tr>
    <tr>
        <td>quartonic<br />
</td>
        <td><br />
</td>
        <td>| 3 -18 11 &gt;<br />
</td>
        <td>14.261<br />
</td>
    </tr>
    <tr>
        <td>medium semicomma, <a class="wiki_link" href="/sensipent%20comma">sensipent comma</a><br />
</td>
        <td>78732 / 78125<br />
</td>
        <td>| 2 9 -7 &gt;<br />
</td>
        <td>13.399<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/W%C3%BCrschmidt%20comma">Würschmidt comma</a><br />
</td>
        <td><br />
</td>
        <td>| 17 1 -8 &gt;<br />
</td>
        <td>11.445<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma<br />
</td>
        <td><br />
</td>
        <td>| -21 3 7 &gt;<br />
</td>
        <td>10.061<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/escapade%20comma">escapade comma</a><br />
</td>
        <td><br />
</td>
        <td>| 32 -7 -9 &gt;<br />
</td>
        <td>9.492<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/kleisma">kleisma</a>, semicomma majeur<br />
</td>
        <td>15625 / 15552<br />
</td>
        <td>| -6 -5 6 &gt;<br />
</td>
        <td>8.107<br />
</td>
    </tr>
    <tr>
        <td>unidecma<br />
</td>
        <td><br />
</td>
        <td>| -7 22 -12 &gt;<br />
</td>
        <td>7.245<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/mutt%20comma">mutt comma</a><br />
</td>
        <td><br />
</td>
        <td>| -44 -3 21 &gt;<br />
</td>
        <td>6.723<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/amity%20comma">amity comma</a><br />
</td>
        <td><br />
</td>
        <td>| 9 -13 5 &gt;<br />
</td>
        <td>6.154<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/parakleisma">parakleisma</a><br />
</td>
        <td><br />
</td>
        <td>| 8 14 -13 &gt;<br />
</td>
        <td>5.292<br />
</td>
    </tr>
    <tr>
        <td>gammic comma<br />
</td>
        <td><br />
</td>
        <td>| -29 -11 20 &gt;<br />
</td>
        <td>4.769<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/vulture%20comma">vulture comma</a><br />
</td>
        <td><br />
</td>
        <td>| 24 -21 4 &gt;<br />
</td>
        <td>4.200<br />
</td>
    </tr>
    <tr>
        <td>23-3/5-comma<br />
</td>
        <td><br />
</td>
        <td>| 17 23 -23 &gt;<br />
</td>
        <td>59.750<br />
</td>
    </tr>
    <tr>
        <td>34-3/5-comma<br />
</td>
        <td><br />
</td>
        <td>| -25 -34 34 &gt;<br />
</td>
        <td>68.196<br />
</td>
    </tr>
    <tr>
        <td>53-3/5-comma<br />
</td>
        <td><br />
</td>
        <td>| 39 53 -53 &gt;<br />
</td>
        <td>71.012<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="List of commas, by prime limit-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:9 -->7-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>hexadecatone comma, 16-7-comma<br />
</td>
        <td><br />
</td>
        <td>| 45 0 0 -16 &gt;<br />
</td>
        <td>98.7855<br />
</td>
    </tr>
    <tr>
        <td>21-7-comma<br />
</td>
        <td><br />
</td>
        <td>| 59 0 0 -21 &gt;<br />
</td>
        <td>54.656<br />
</td>
    </tr>
    <tr>
        <td>Hunt 7-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| 73 0 0 -26 &gt;<br />
</td>
        <td>10.526<br />
</td>
    </tr>
    <tr>
        <td>German sixth comma<br />
</td>
        <td><br />
</td>
        <td>| -87 0 0 31 &gt;<br />
</td>
        <td>33.603<br />
</td>
    </tr>
    <tr>
        <td>large deep red comma<br />
</td>
        <td>6561 / 6272<br />
</td>
        <td>| -7, 8, 0 -2 &gt;<br />
</td>
        <td>77.988<br />
</td>
    </tr>
    <tr>
        <td>36-7-comma<br />
</td>
        <td><br />
</td>
        <td>| -101 0 0 36 &gt;<br />
</td>
        <td>77.737<br />
</td>
    </tr>
    <tr>
        <td>47-7-comma<br />
</td>
        <td><br />
</td>
        <td>| 132 0 0 0 -47 &gt;<br />
</td>
        <td>65.182<br />
</td>
    </tr>
    <tr>
        <td>slendro integer cents comma<br />
</td>
        <td><br />
</td>
        <td>| 1127 0 0 -400 &gt;<br />
</td>
        <td>69.637<br />
</td>
    </tr>
    <tr>
        <td>29-7/5-comma<br />
</td>
        <td><br />
</td>
        <td>| -14 0 -29 29 &gt;<br />
</td>
        <td>92.854<br />
</td>
    </tr>
    <tr>
        <td>31-7/5-comma<br />
</td>
        <td><br />
</td>
        <td>| -15 0 -31 31 &gt;<br />
</td>
        <td>57.878<br />
</td>
    </tr>
    <tr>
        <td>33-7/5-comma<br />
</td>
        <td><br />
</td>
        <td>| -16 0 -33 33 &gt;<br />
</td>
        <td>22.902<br />
</td>
    </tr>
    <tr>
        <td>35-7/5-comma<br />
</td>
        <td><br />
</td>
        <td>| 18 0 35 -35 &gt;<br />
</td>
        <td>12.073<br />
</td>
    </tr>
    <tr>
        <td>37-7/5-comma<br />
</td>
        <td><br />
</td>
        <td>| 19 0 37 -37 &gt;<br />
</td>
        <td>47.049<br />
</td>
    </tr>
    <tr>
        <td>39-7/5-comma<br />
</td>
        <td><br />
</td>
        <td>| 20 0 39 -39 &gt;<br />
</td>
        <td>82.0245<br />
</td>
    </tr>
    <tr>
        <td>5-21-comma<br />
</td>
        <td><br />
</td>
        <td>| 22 -5 0 -5 &gt;<br />
</td>
        <td>46.0955<br />
</td>
    </tr>
    <tr>
        <td>18-21-comma<br />
</td>
        <td><br />
</td>
        <td>| -79 18 0 18 &gt;<br />
</td>
        <td>74.056<br />
</td>
    </tr>
    <tr>
        <td>23-21-comma<br />
</td>
        <td><br />
</td>
        <td>| -101 23 0 23 &gt;<br />
</td>
        <td>27.961<br />
</td>
    </tr>
    <tr>
        <td>Huntian 21-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| 123 -28 0 -28 &gt;<br />
</td>
        <td>18.135<br />
</td>
    </tr>
    <tr>
        <td>33-21-comma<br />
</td>
        <td><br />
</td>
        <td>| 145 -33 0 -33 &gt;<br />
</td>
        <td>64.230<br />
</td>
    </tr>
    <tr>
        <td>8-35-comma<br />
</td>
        <td><br />
</td>
        <td>| -41 0 8 8 &gt;<br />
</td>
        <td>41.117<br />
</td>
    </tr>
    <tr>
        <td>15-35-comma<br />
</td>
        <td><br />
</td>
        <td>| 77 0 -15 -15 &gt;<br />
</td>
        <td>72.906<br />
</td>
    </tr>
    <tr>
        <td>23-35-comma<br />
</td>
        <td><br />
</td>
        <td>| 118 0 -23 -23 &gt;<br />
</td>
        <td>31.789<br />
</td>
    </tr>
    <tr>
        <td>31-35-comma<br />
</td>
        <td><br />
</td>
        <td>| -159 0 31 31 &gt;<br />
</td>
        <td>9.328<br />
</td>
    </tr>
    <tr>
        <td>39-35-comma<br />
</td>
        <td><br />
</td>
        <td>| -200 0 39 39 &gt;<br />
</td>
        <td>50.445<br />
</td>
    </tr>
    <tr>
        <td>47-35-comma<br />
</td>
        <td><br />
</td>
        <td>| -241 0 47 47 &gt;<br />
</td>
        <td>91.562<br />
</td>
    </tr>
    <tr>
        <td>Huntian 35-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| 277 0 -54 -54 &gt;<br />
</td>
        <td>22.4605<br />
</td>
    </tr>
    <tr>
        <td>greenwoodma<br />
</td>
        <td>405 / 392<br />
</td>
        <td>| -3 4 1 -2 &gt;<br />
</td>
        <td>56.482<br />
</td>
    </tr>
    <tr>
        <td>Harrison's comma<br />
</td>
        <td><a class="wiki_link" href="/59049_57344">59049 / 57344</a><br />
</td>
        <td>| -13 10 0 -1 &gt;<br />
</td>
        <td>50.724<br />
</td>
    </tr>
    <tr>
        <td>keega<br />
</td>
        <td>1029 / 1000<br />
</td>
        <td>| -3 1 -3 3 &gt;<br />
</td>
        <td>49.492<br />
</td>
    </tr>
    <tr>
        <td>septimal quarter tone<br />
</td>
        <td><a class="wiki_link" href="/36_35">36 / 35</a><br />
</td>
        <td>| 2 2 -1 -1 &gt;<br />
</td>
        <td>48.770<br />
</td>
    </tr>
    <tr>
        <td>quarter tone comma<br />
</td>
        <td><br />
</td>
        <td>| 49 50 -25 -25 &gt;<br />
</td>
        <td>19.2595<br />
</td>
    </tr>
    <tr>
        <td>cloudy<br />
</td>
        <td>16807 / 16384<br />
</td>
        <td>| -14 0 0 5 &gt;<br />
</td>
        <td>44.130<br />
</td>
    </tr>
    <tr>
        <td>Avicenna, Avicenna's enharmonic diesis<br />
</td>
        <td>525 / 512<br />
</td>
        <td>| -9 1 2 1 &gt;<br />
</td>
        <td>43.408<br />
</td>
    </tr>
    <tr>
        <td>slendro diesis<br />
</td>
        <td><a class="wiki_link" href="/49_48">49 / 48</a><br />
</td>
        <td>| -4 -1 0 2 &gt;<br />
</td>
        <td>35.597<br />
</td>
    </tr>
    <tr>
        <td>slendro 34-comma<br />
</td>
        <td><br />
</td>
        <td>| -137 -34 0 68 &gt;<br />
</td>
        <td>13.692<br />
</td>
    </tr>
    <tr>
        <td>34-jubilismic comma<br />
</td>
        <td><br />
</td>
        <td>| -33 0 -68 68 &gt;<br />
</td>
        <td>10.829<br />
</td>
    </tr>
    <tr>
        <td>tritonic diesis, jubilisma<br />
</td>
        <td><a class="wiki_link" href="/50_49">50 / 49</a><br />
</td>
        <td>| 1 0 2 -2 &gt;<br />
</td>
        <td>34.976<br />
</td>
    </tr>
    <tr>
        <td>eric<br />
</td>
        <td><br />
</td>
        <td>| 7 8 0 -7 &gt;<br />
</td>
        <td>33.859<br />
</td>
    </tr>
    <tr>
        <td>senga<br />
</td>
        <td>686 / 675<br />
</td>
        <td>| 1 -3 -2 3 &gt;<br />
</td>
        <td>27.985<br />
</td>
    </tr>
    <tr>
        <td>septimal comma, Archytas' comma, Leipziger Komma<br />
</td>
        <td><a class="wiki_link" href="/64_63">64 / 63</a><br />
</td>
        <td>| 6 -2 0 -1 &gt;<br />
</td>
        <td>27.264<br />
</td>
    </tr>
    <tr>
        <td>blackjackisma<br />
</td>
        <td><br />
</td>
        <td>| -10 7 8 -7 &gt;<br />
</td>
        <td>22.413<br />
</td>
    </tr>
    <tr>
        <td>squalentine<br />
</td>
        <td>64827 / 64000<br />
</td>
        <td>| -9 3 -3 4 &gt;<br />
</td>
        <td>22.227<br />
</td>
    </tr>
    <tr>
        <td>keema<br />
</td>
        <td>875 / 864<br />
</td>
        <td>| -5 -3 3 1 &gt;<br />
</td>
        <td>21.902<br />
</td>
    </tr>
    <tr>
        <td>gariboh<br />
</td>
        <td>3125 / 3087<br />
</td>
        <td>| 0 -2 5 -3 &gt;<br />
</td>
        <td>21.181<br />
</td>
    </tr>
    <tr>
        <td>nuwell<br />
</td>
        <td>2430 / 2401<br />
</td>
        <td>| 1 5 1 -4 &gt;<br />
</td>
        <td>20.785<br />
</td>
    </tr>
    <tr>
        <td>tolerma<br />
</td>
        <td><br />
</td>
        <td>| 10 -11 2 1 &gt;<br />
</td>
        <td>19.948<br />
</td>
    </tr>
    <tr>
        <td>mirwomo<br />
</td>
        <td>33075 / 32768<br />
</td>
        <td>| -15 3 2 2 &gt;<br />
</td>
        <td>16.144<br />
</td>
    </tr>
    <tr>
        <td>trimyna<br />
</td>
        <td>50421 / 50000<br />
</td>
        <td>| -4 1 -5 5 &gt;<br />
</td>
        <td>14.516<br />
</td>
    </tr>
    <tr>
        <td>sensamagic<br />
</td>
        <td>245 / 243<br />
</td>
        <td>| 0 -5 1 2 &gt;<br />
</td>
        <td>14.191<br />
</td>
    </tr>
    <tr>
        <td>septimal semicomma, starling comma<br />
</td>
        <td><a class="wiki_link" href="/126_125">126 / 125</a><br />
</td>
        <td>| 1 2 -3 1 &gt;<br />
</td>
        <td>13.795<br />
</td>
    </tr>
    <tr>
        <td>octagar<br />
</td>
        <td>4000 / 3969<br />
</td>
        <td>| 5 -4 3 -2 &gt;<br />
</td>
        <td>13.469<br />
</td>
    </tr>
    <tr>
        <td>orwellisma, orwell comma<br />
</td>
        <td>1728 / 1715<br />
</td>
        <td>| 6 3 -1 -3 &gt;<br />
</td>
        <td>13.074<br />
</td>
    </tr>
    <tr>
        <td>quince<br />
</td>
        <td><br />
</td>
        <td>| -15 0 -2 7 &gt;<br />
</td>
        <td>9.154<br />
</td>
    </tr>
    <tr>
        <td>gamelisma<br />
</td>
        <td>1029 / 1024<br />
</td>
        <td>| -10 1 0 3 &gt;<br />
</td>
        <td>8.433<br />
</td>
    </tr>
    <tr>
        <td>varunisma<br />
</td>
        <td><br />
</td>
        <td>| -9 8 -4 2 &gt;<br />
</td>
        <td>8.037<br />
</td>
    </tr>
    <tr>
        <td>septimal kleisma, marvel comma<br />
</td>
        <td><a class="wiki_link" href="/225_224">225 / 224</a><br />
</td>
        <td>| -5 2 2 -1 &gt;<br />
</td>
        <td>7.712<br />
</td>
    </tr>
    <tr>
        <td>dimcomp<br />
</td>
        <td><br />
</td>
        <td>| -1 -4 8 -4 &gt;<br />
</td>
        <td>7.386<br />
</td>
    </tr>
    <tr>
        <td>cataharry<br />
</td>
        <td>19683 / 19600<br />
</td>
        <td>| -4 9 -2 -2 &gt;<br />
</td>
        <td>7.316<br />
</td>
    </tr>
    <tr>
        <td>mirkwai<br />
</td>
        <td>16875 / 16807<br />
</td>
        <td>| 0 3 4 -5 &gt;<br />
</td>
        <td>6.990<br />
</td>
    </tr>
    <tr>
        <td>stearnsma<br />
</td>
        <td><br />
</td>
        <td>| 1 10 0 -6 &gt;<br />
</td>
        <td>6.595<br />
</td>
    </tr>
    <tr>
        <td>hemimage<br />
</td>
        <td>10976 / 10935<br />
</td>
        <td>| 5 -7 -1 3 &gt;<br />
</td>
        <td>6.479<br />
</td>
    </tr>
    <tr>
        <td>hemimean<br />
</td>
        <td>3136 / 3125<br />
</td>
        <td>| 6 0 -5 2 &gt;<br />
</td>
        <td>6.083<br />
</td>
    </tr>
    <tr>
        <td>hemifamity<br />
</td>
        <td>5120 / 5103<br />
</td>
        <td>| 10 -6 1 -1 &gt;<br />
</td>
        <td>5.758<br />
</td>
    </tr>
    <tr>
        <td>linus<br />
</td>
        <td><br />
</td>
        <td>| 11 -10 -10 10 &gt;<br />
</td>
        <td>5.572<br />
</td>
    </tr>
    <tr>
        <td>porwell<br />
</td>
        <td>6144 / 6125<br />
</td>
        <td>| 11 1 -3 -2 &gt;<br />
</td>
        <td>5.362<br />
</td>
    </tr>
    <tr>
        <td>garischisma<br />
</td>
        <td><br />
</td>
        <td>| 25 -14 0 -1 &gt;<br />
</td>
        <td>3.804<br />
</td>
    </tr>
    <tr>
        <td>wadisma<br />
</td>
        <td><br />
</td>
        <td>| -26 -1 1 9 &gt;<br />
</td>
        <td>3.792<br />
</td>
    </tr>
    <tr>
        <td>quasiorwellisma<br />
</td>
        <td><br />
</td>
        <td>| 22 -1 -10 1 &gt;<br />
</td>
        <td>3.734<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/218edo">218edo</a> (stacked 7/4 and 10/9) comma<br />
</td>
        <td><br />
</td>
        <td>| 22 -32 16 -3 &gt;<br />
</td>
        <td>11.982<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="List of commas, by prime limit-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->11-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>11-cycle chroma, 11-11-comma<br />
</td>
        <td><br />
</td>
        <td>| -38 0 0 0 11 &gt;<br />
</td>
        <td>64.497<br />
</td>
    </tr>
    <tr>
        <td>11-cycle major seventh prote, 35-11-comma<br />
</td>
        <td><br />
</td>
        <td>| -121 0 0 0 35 &gt;<br />
</td>
        <td>96.128<br />
</td>
    </tr>
    <tr>
        <td>Hunt 11-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -83 0 0 0 24 &gt;<br />
</td>
        <td>31.631<br />
</td>
    </tr>
    <tr>
        <td>Hunt flat 5 comma<br />
</td>
        <td>8192 / 8019<br />
</td>
        <td>| 13 -6 0 0 -1 &gt;<br />
</td>
        <td>36.952<br />
</td>
    </tr>
    <tr>
        <td>sterno<br />
</td>
        <td>352 / 343<br />
</td>
        <td>| 5 0 0 -3 1 &gt;<br />
</td>
        <td>44.840<br />
</td>
    </tr>
    <tr>
        <td>the Igs boson<span style="line-height: 1.5;">, 13-11-comma</span><br />
</td>
        <td><br />
</td>
        <td>| 45 0 0 0 -13 &gt;<br />
</td>
        <td>32.867<br />
</td>
    </tr>
    <tr>
        <td>telepathma<br />
</td>
        <td>55 / 54<br />
</td>
        <td>| -1 -3 1 0 1 &gt;<br />
</td>
        <td>31.767<br />
</td>
    </tr>
    <tr>
        <td>thuja comma<br />
</td>
        <td><br />
</td>
        <td>| 15 0 1 0 -5 &gt;<br />
</td>
        <td>29.724<br />
</td>
    </tr>
    <tr>
        <td>sensmus<br />
</td>
        <td>1232 / 1215<br />
</td>
        <td>| 4 -5 -1 1 1 &gt;<br />
</td>
        <td>24.055<br />
</td>
    </tr>
    <tr>
        <td>sevnothrush<br />
</td>
        <td>3168 / 3125<br />
</td>
        <td>| 5 2 -5 0 1 &gt;<br />
</td>
        <td>23.659<br />
</td>
    </tr>
    <tr>
        <td>cassacot<br />
</td>
        <td>245 / 242<br />
</td>
        <td>| -1 0 1 2 -2 &gt;<br />
</td>
        <td>21.330<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a><br />
</td>
        <td>99 / 98<br />
</td>
        <td>| -1 2 0 -2 1 &gt;<br />
</td>
        <td>17.576<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a><br />
</td>
        <td><a class="wiki_link" href="/100_99">100 / 99</a><br />
</td>
        <td>| 2 -2 2 0 -1 &gt;<br />
</td>
        <td>17.399<br />
</td>
    </tr>
    <tr>
        <td>hemimin<br />
</td>
        <td>1344 / 1331<br />
</td>
        <td>| 6 1 0 1 -3 &gt;<br />
</td>
        <td>16.827<br />
</td>
    </tr>
    <tr>
        <td>biyatisma<br />
</td>
        <td>121 / 120<br />
</td>
        <td>| -3 -1 -1 0 2 &gt;<br />
</td>
        <td>14.367<br />
</td>
    </tr>
    <tr>
        <td>aphrowe<br />
</td>
        <td>1331 / 1323<br />
</td>
        <td>| 0 -3 0 -2 3 &gt;<br />
</td>
        <td>10.437<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a><br />
</td>
        <td>176 / 175<br />
</td>
        <td>| 4 0 -2 -1 1 &gt;<br />
</td>
        <td>9.865<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/pentacircle%20comma">pentacircle</a><br />
</td>
        <td>896 / 891<br />
</td>
        <td>| 7 -4 0 1 -1 &gt;<br />
</td>
        <td>9.688<br />
</td>
    </tr>
    <tr>
        <td>orgonisma<br />
</td>
        <td>65536 / 65219<br />
</td>
        <td>| 16 0 0 -2 -3 &gt;<br />
</td>
        <td>8.394<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/rastmic%20chords">rastma</a><br />
</td>
        <td>243 / 242<br />
</td>
        <td>| -1 5 0 0 -2 &gt;<br />
</td>
        <td>7.139<br />
</td>
    </tr>
    <tr>
        <td>myhemiwell<br />
</td>
        <td>3388 / 3375<br />
</td>
        <td>| 2 -3 -3 1 2 &gt;<br />
</td>
        <td>6.656<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/keenanismic%20chords">keenanisma</a><br />
</td>
        <td><a class="wiki_link" href="/385_384">385 / 384</a><br />
</td>
        <td>| -7 -1 1 1 1 &gt;<br />
</td>
        <td>4.503<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/werckismic%20chords">werckisma</a><br />
</td>
        <td>441 / 440<br />
</td>
        <td>| -3 2 -1 2 -1 &gt;<br />
</td>
        <td>3.930<br />
</td>
    </tr>
    <tr>
        <td>moctdel<br />
</td>
        <td>1375 / 1372<br />
</td>
        <td>| -2 0 3 -3 1 &gt;<br />
</td>
        <td>3.781<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="List of commas, by prime limit-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:13 -->13-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>Hunt 13-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -37 0 0 0 0 0 10 &gt;<br />
</td>
        <td>5.277<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">silver half cents comma</span><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 &gt;</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">66.389</span><br />
</td>
    </tr>
    <tr>
        <td>Hunt minor submediant comma<br />
</td>
        <td>1053 / 1024<br />
</td>
        <td>| -10 4 0 0 0 0 1 &gt;<br />
</td>
        <td>48.348<br />
</td>
    </tr>
    <tr>
        <td>astburyp<br />
</td>
        <td><br />
</td>
        <td>| -19 -2 0 0 0 6 &gt;<br />
</td>
        <td>39.255<br />
</td>
    </tr>
    <tr>
        <td>wilsorma<br />
</td>
        <td>65 / 64<br />
</td>
        <td>| -6 0 1 0 0 1 &gt;<br />
</td>
        <td>26.841<br />
</td>
    </tr>
    <tr>
        <td>winmeanma<br />
</td>
        <td>66 / 65<br />
</td>
        <td>| 1 1 -1 0 1 -1 &gt;<br />
</td>
        <td>26.432<br />
</td>
    </tr>
    <tr>
        <td>negustma<br />
</td>
        <td>78 / 77<br />
</td>
        <td>| 1 1 0 -1 -1 1 &gt;<br />
</td>
        <td>22.229<br />
</td>
    </tr>
    <tr>
        <td>superleap<br />
</td>
        <td>91 / 90<br />
</td>
        <td>| -1 -2 -1 1 0 1 &gt;<br />
</td>
        <td>19.130<br />
</td>
    </tr>
    <tr>
        <td>animist<br />
</td>
        <td>105 / 104<br />
</td>
        <td>| -3 1 1 1 0 -1 &gt;<br />
</td>
        <td>16.567<br />
</td>
    </tr>
    <tr>
        <td>secorian<br />
</td>
        <td>28672 / 28431<br />
</td>
        <td>| 12 -7 0 1 0 -1 &gt;<br />
</td>
        <td>14.613<br />
</td>
    </tr>
    <tr>
        <td>mosaic<br />
</td>
        <td>3159 / 3136<br />
</td>
        <td>|-6 5 0 -2 0 1&gt;<br />
</td>
        <td>12.651<br />
</td>
    </tr>
    <tr>
        <td>gassorma<br />
</td>
        <td>275 / 273<br />
</td>
        <td>| 0 -1 2 -1 1 -1 &gt;<br />
</td>
        <td>12.637<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/grossma">grossma</a><br />
</td>
        <td>144 / 143<br />
</td>
        <td>| 4 2 0 0 -1 -1 &gt;<br />
</td>
        <td>12.064<br />
</td>
    </tr>
    <tr>
        <td>buzurgisma, dhanvantarisma<br />
</td>
        <td>169 / 168<br />
</td>
        <td>| -3 -1 0 -1 0 2 &gt;<br />
</td>
        <td>10.274<br />
</td>
    </tr>
    <tr>
        <td>catadictma<br />
</td>
        <td>1287 / 1280<br />
</td>
        <td>| -8 2 -1 0 1 1 &gt;<br />
</td>
        <td>9.442<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/mynucumic%20chords">mynucuma</a><br />
</td>
        <td>196 / 195<br />
</td>
        <td>| 2 -1 -1 2 0 -1 &gt;<br />
</td>
        <td>8.855<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/huntmic%20chords">huntma</a><br />
</td>
        <td>640 / 637<br />
</td>
        <td>| 7 0 1 -2 0 -1 &gt;<br />
</td>
        <td>8.134<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/threedie">threedie</a><br />
</td>
        <td>2197 / 2187<br />
</td>
        <td>| 0 -7 0 0 0 3 &gt;<br />
</td>
        <td>7.897<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/kestrel%20chords">kestrel comma</a><br />
</td>
        <td>1188 / 1183<br />
</td>
        <td>| 2 3 0 -1 1 -2 &gt;<br />
</td>
        <td>7.302<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/marveltwin">marveltwin</a><br />
</td>
        <td>325 / 324<br />
</td>
        <td>| -2 -4 2 0 0 1 &gt;<br />
</td>
        <td>5.335<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a><br />
</td>
        <td>351 / 350<br />
</td>
        <td>| -1 3 -2 -1 0 1 &gt;<br />
</td>
        <td>4.939<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/minthmic%20chords">minthma</a><br />
</td>
        <td>352 / 351<br />
</td>
        <td>| 5 -3 0 0 1 -1 &gt;<br />
</td>
        <td>4.925<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/gentle%20chords">gentle comma</a><br />
</td>
        <td>364 / 363<br />
</td>
        <td>| 2 -1 0 1 -2 1 &gt;<br />
</td>
        <td>4.763<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/cuthbert%20triad">cuthbert</a><br />
</td>
        <td>847 / 845<br />
</td>
        <td>| 0 0 -1 1 2 -2 &gt;<br />
</td>
        <td>4.093<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:15:&lt;h2&gt; --><h2 id="toc7"><a name="List of commas, by prime limit-17-limit commas"></a><!-- ws:end:WikiTextHeadingRule:15 -->17-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>11 semitone comma<br />
</td>
        <td><br />
</td>
        <td>| 45 0 0 0 0 0 -11 &gt;<br />
</td>
        <td>45.4905<br />
</td>
    </tr>
    <tr>
        <td>12 semitone comma<br />
</td>
        <td><br />
</td>
        <td>| -49 0 0 0 0 0 12 &gt;<br />
</td>
        <td>59.465<br />
</td>
    </tr>
    <tr>
        <td>23 semitone comma<br />
</td>
        <td><br />
</td>
        <td>| -93 0 0 0 0 0 23 &gt;<br />
</td>
        <td>13.974<br />
</td>
    </tr>
    <tr>
        <td>Hunt 17-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -138 0 0 0 0 0 34 &gt;<br />
</td>
        <td>31.516<br />
</td>
    </tr>
    <tr>
        <td>17-ripple integer cents comma<br />
</td>
        <td><br />
</td>
        <td>| 327 0 0 0 0 0 -80 &gt;<br />
</td>
        <td>3.568<br />
</td>
    </tr>
    <tr>
        <td>Hunt flat 2 comma<br />
</td>
        <td>4131 / 4096<br />
</td>
        <td>| -12 5 0 0 0 0 1 &gt;<br />
</td>
        <td>14.730<br />
</td>
    </tr>
    <tr>
        <td>Blume comma<br />
</td>
        <td>2057 / 2048<br />
</td>
        <td>| -11 0 0 0 2 0 1 &gt;<br />
</td>
        <td>7.591<br />
</td>
    </tr>
    <tr>
        <td>Septendecimal Integer Cents comma<br />
</td>
        <td>289 / 288<br />
</td>
        <td>| -5 -2 0 0 0 0 2 &gt;<br />
</td>
        <td>6.001<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:17:&lt;h2&gt; --><h2 id="toc8"><a name="List of commas, by prime limit-19-limit commas"></a><!-- ws:end:WikiTextHeadingRule:17 -->19-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>Hunt 19-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| 17 0 0 0 0 0 0 -4 &gt;<br />
</td>
        <td>9.950<br />
</td>
    </tr>
    <tr>
        <td>spleen comma<br />
</td>
        <td>210 / 209<br />
</td>
        <td>| 1 1 1 1 -1 0 0 -1 &gt;<br />
</td>
        <td>8.264<br />
</td>
    </tr>
    <tr>
        <td>go comma<br />
</td>
        <td>361 / 360<br />
</td>
        <td>| -3 -2 -1 0 0 0 0 2 &gt;<br />
</td>
        <td>4.802<br />
</td>
    </tr>
</table>

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