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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<span style="display: block; text-align: right;">[[:de:Komma Deutsch]]</span>
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>2017-12-26 17:18:22 UTC</tt>.<br>
: The original revision id was <tt>624242145</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">&lt;span style="display: block; text-align: right;"&gt;[[xenharmonie/Komma|Deutsch]]
&lt;/span&gt;
=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]]
=Definition=
A '''comma''' is a small interval that occurs in [[Just_intonation|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|cent]]s.


=List of commas, by prime limit=
For commas over 100 cents in size, see [[Large_commas|Large commas]]; and for commas under 3.5 cents in size, see [[Unnoticeable_commas|Unnoticeable commas]]
==3-limit commas==
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 &gt; || 90.225 ||
|| [[Pythagorean comma]] ||  || | -19 12 &gt; || 23.460 ||
|| [[17-comma]] ||  || | 27 -17 &gt; || 66.765 ||
|| [[29-comma]] ||  || | 46 -29 &gt; || 43.305 ||
|| [[41-comma]] ||  || | 65 -41 &gt; || 19.845 ||
|| Pythagorean Integer cents comma ||  || | 317 -200 &gt; || 9.000 ||
|| [[Mercator's comma]], 53-comma ||  || | -84 53 &gt; || 3.615 ||
|| 70-comma ||  || | 111 -70 &gt; || 63.150 ||
==5-limit commas==
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| Twenty-two thirds limma ||  || | -51 0 22 &gt; || 98.902 ||
|| sibbolet ||  || | -58 0 25 &gt; || 57.843 ||
|| Hunt 5-cycle comma ||  || | -65 0 28 &gt; || 16.784 ||
|| acute thirds comma ||  || | 72 0 -31 &gt; || 24.275 ||
|| 34-5-comma ||  || | 79 0 -34 &gt; || 65.334 ||
|| Schismic thirds chromatic semitone ||  || | -123 0 53 &gt; || 74.627 ||
|| 10-15-comma ||  || | -39 10 10 &gt; || 82.687 ||
|| 11-15-comma ||  || | 43 -11 -11 &gt; || 29.044 ||
|| 21-15-comma ||  || | 82 -21 -21 &gt; || 53.643 ||
|| 32-15-comma ||  || | 125 -32 -32 &gt; || 24.599 ||
|| Huntian 15-cycle comma ||  || | -168 43 43 &gt; || 4.445 ||
|| 53-15-comma ||  || | -207 53 53 &gt; || 78.242 ||
|| 54-15-comma ||  || | 211 -54 -54 &gt; || 33.489 ||
|| 76-15-comma ||  || | 297 -76 -76 &gt; || 91.578 ||
|| major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 &gt; || 92.179 ||
|| ripple || 6561 / 6250 || | -1 8 -5 &gt; || 84.071 ||
|| doublewide ||  || | -9 -6 8 &gt; || 78.780 ||
|| sevond ||  || | 6 -14 7 &gt; || 76.826 ||
|| nusecond ||  || | 5 13 -11 &gt; || 75.964 ||
|| sentinel ||  || | -33 15 4 &gt; || 74.580 ||
|| chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 &gt; || 70.672 ||
|| superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 &gt; || 68.719 ||
|| major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 &gt; || 62.565 ||
|| passion ||  || | 18 -4 -5 &gt; || 60.611 ||
|| shibboleth ||  || | -5 -10 9 &gt; || 57.273 ||
|| mynic ||  || | 9 9 -10 &gt; || 54.458 ||
|| tritonic ||  || | -29 11 5 &gt; || 53.074 ||
|| [[negri comma]], double augmentation diesis || 16875 / 16384 || | -14 3 4 &gt; || 51.120 ||
|| maximal diesis, porcupine comma || [[250_243|250 / 243]] || | 1 -5 3 &gt; || 49.166 ||
|| immunity ||  || | 16 -13 2 &gt; || 47.212 ||
|| diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 &gt; || 41.059 ||
|| wizard ||  || | -31 2 12 &gt; || 39.675 ||
|| sycamore ||  || | -16 -6 11 &gt; || 37.721 ||
|| fifive ||  || | -1 -14 10 &gt; || 35.767 ||
|| unicorn ||  || | -2 13 -8 &gt; || 34.905 ||
|| valensixthtone ||  || | 13 5 -9 &gt; || 32.952 ||
|| [[ampersand]], Ampersand's comma ||  || | -25 7 6 &gt; || 31.567 ||
|| small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 &gt; || 29.614 ||
|| minimal diesis, [[tetracot comma]] || 20000 / 19683 || | 5 -9 4 &gt; || 27.660 ||
|| roda ||  || | 20 -17 3 &gt; || 25.706 ||
|| maja ||  || | -3 -23 17 &gt; || 22.368 ||
|| syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 &gt; || 21.506 ||
|| [[Maquila family|maquila comma]] ||  || | 49 -6 -17 &gt; || 20.937 ||
|| [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 &gt; || 19.553 ||
|| ditonma ||  || | -27 -2 13 &gt; || 18.168 ||
|| [[misty comma]] ||  || | 26 -12 -3 &gt; || 17.599 ||
|| [[Pental family|pental comma]] ||  || | -28 25 -5 &gt; || 17.306 ||
|| [[graviton]], [[Gravity family|gravity]] comma ||  || | -13 17 -6 &gt; || 15.353 ||
|| quartonic ||  || | 3 -18 11 &gt; || 14.261 ||
|| medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 &gt; || 13.399 ||
|| [[Würschmidt comma]] ||  || | 17 1 -8 &gt; || 11.445 ||
|| [[semicomma]], Fokker comma ||  || | -21 3 7 &gt; || 10.061 ||
|| [[escapade comma]] ||  || | 32 -7 -9 &gt; || 9.492 ||
|| [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 &gt; || 8.107 ||
|| unidecma ||  || | -7 22 -12 &gt; || 7.245 ||
|| [[mutt comma]] ||  || | -44 -3 21 &gt; || 6.723 ||
|| [[amity comma]] ||  || | 9 -13 5 &gt; || 6.154 ||
|| [[parakleisma]] ||  || | 8 14 -13 &gt; || 5.292 ||
|| gammic comma ||  || | -29 -11 20 &gt; || 4.769 ||
|| [[vulture comma]] ||  || | 24 -21 4 &gt; || 4.200 ||
|| 23-3/5-comma ||  || | 17 23 -23 &gt; || 59.750 ||
|| 34-3/5-comma ||  || | -25 -34 34 &gt; || 68.196 ||
|| 53-3/5-comma ||  || | 39 53 -53 &gt; || 71.012 ||


==7-limit commas==  
=List of commas, by prime limit=
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| hexadecatone comma, 16-7-comma ||  || | 45 0 0 -16 &gt; || 98.7855 ||
|| 21-7-comma ||  || | 59 0 0 -21 &gt; || 54.656 ||
|| Hunt 7-cycle comma ||  || | 73 0 0 -26 &gt; || 10.526 ||
|| German sixth comma ||  || | -87 0 0 31 &gt; || 33.603 ||
|| large deep red comma || 6561 / 6272 || | -7, 8, 0 -2 &gt; || 77.988 ||
|| 36-7-comma ||  || | -101 0 0 36 &gt; || 77.737 ||
|| 47-7-comma ||  || | 132 0 0 0 -47 &gt; || 65.182 ||
|| slendro integer cents comma ||  || | 1127 0 0 -400 &gt; || 69.637 ||
|| 29-7/5-comma ||  || | -14 0 -29 29 &gt; || 92.854 ||
|| 31-7/5-comma ||  || | -15 0 -31 31 &gt; || 57.878 ||
|| 33-7/5-comma ||  || | -16 0 -33 33 &gt; || 22.902 ||
|| 35-7/5-comma ||  || | 18 0 35 -35 &gt; || 12.073 ||
|| 37-7/5-comma ||  || | 19 0 37 -37 &gt; || 47.049 ||
|| 39-7/5-comma ||  || | 20 0 39 -39 &gt; || 82.0245 ||
|| 5-21-comma ||  || | 22 -5 0 -5 &gt; || 46.0955 ||
|| 18-21-comma ||  || | -79 18 0 18 &gt; || 74.056 ||
|| 23-21-comma ||  || | -101 23 0 23 &gt; || 27.961 ||
|| Huntian 21-cycle comma ||  || | 123 -28 0 -28 &gt; || 18.135 ||
|| 33-21-comma ||  || | 145 -33 0 -33 &gt; || 64.230 ||
|| 8-35-comma ||  || | -41 0 8 8 &gt; || 41.117 ||
|| 15-35-comma ||  || | 77 0 -15 -15 &gt; || 72.906 ||
|| 23-35-comma ||  || | 118 0 -23 -23 &gt; || 31.789 ||
|| 31-35-comma ||  || | -159 0 31 31 &gt; || 9.328 ||
|| 39-35-comma ||  || | -200 0 39 39 &gt; || 50.445 ||
|| 47-35-comma ||  || | -241 0 47 47 &gt; || 91.562 ||
|| Huntian 35-cycle comma ||  || | 277 0 -54 -54 &gt; || 22.4605 ||
|| greenwoodma || 405 / 392 || | -3 4 1 -2 &gt; || 56.482 ||
|| Harrison's comma || [[59049_57344|59049 / 57344]] || | -13 10 0 -1 &gt; || 50.724 ||
|| keega || 1029 / 1000 || | -3 1 -3 3 &gt; || 49.492 ||
|| septimal quarter tone || [[36_35|36 / 35]] || | 2 2 -1 -1 &gt; || 48.770 ||
|| quarter tone comma ||  || | 49 50 -25 -25 &gt; || 19.2595 ||
|| cloudy || 16807 / 16384 || | -14 0 0 5 &gt; || 44.130 ||
|| Avicenna, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 &gt; || 43.408 ||
|| slendro diesis || [[49_48|49 / 48]] || | -4 -1 0 2 &gt; || 35.597 ||
|| slendro 34-comma ||  || | -137 -34 0 68 &gt; || 13.692 ||
|| 34-jubilismic comma ||  || | -33 0 -68 68 &gt; || 10.829 ||
|| tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 &gt; || 34.976 ||
|| eric ||  || | 7 8 0 -7 &gt; || 33.859 ||
|| senga || 686 / 675 || | 1 -3 -2 3 &gt; || 27.985 ||
|| septimal comma, Archytas' comma, Leipziger Komma || [[64_63|64 / 63]] || | 6 -2 0 -1 &gt; || 27.264 ||
|| blackjackisma ||  || | -10 7 8 -7 &gt; || 22.413 ||
|| squalentine || 64827 / 64000 || | -9 3 -3 4 &gt; || 22.227 ||
|| keema || 875 / 864 || | -5 -3 3 1 &gt; || 21.902 ||
|| gariboh || 3125 / 3087 || | 0 -2 5 -3 &gt; || 21.181 ||
|| nuwell || 2430 / 2401 || | 1 5 1 -4 &gt; || 20.785 ||
|| tolerma ||  || | 10 -11 2 1 &gt; || 19.948 ||
|| mirwomo || 33075 / 32768 || | -15 3 2 2 &gt; || 16.144 ||
|| trimyna || 50421 / 50000 || | -4 1 -5 5 &gt; || 14.516 ||
|| sensamagic || 245 / 243 || | 0 -5 1 2 &gt; || 14.191 ||
|| septimal semicomma, starling comma || [[126_125|126 / 125]] || | 1 2 -3 1 &gt; || 13.795 ||
|| octagar || 4000 / 3969 || | 5 -4 3 -2 &gt; || 13.469 ||
|| orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 &gt; || 13.074 ||
|| quince ||  || | -15 0 -2 7 &gt; || 9.154 ||
|| gamelisma || 1029 / 1024 || | -10 1 0 3 &gt; || 8.433 ||
|| varunisma ||  || | -9 8 -4 2 &gt; || 8.037 ||
|| septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 &gt; || 7.712 ||
|| dimcomp ||  || | -1 -4 8 -4 &gt; || 7.386 ||
|| cataharry || 19683 / 19600 || | -4 9 -2 -2 &gt; || 7.316 ||
|| mirkwai || 16875 / 16807 || | 0 3 4 -5 &gt; || 6.990 ||
|| stearnsma ||  || | 1 10 0 -6 &gt; || 6.595 ||
|| hemimage || 10976 / 10935 || | 5 -7 -1 3 &gt; || 6.479 ||
|| hemimean || 3136 / 3125 || | 6 0 -5 2 &gt; || 6.083 ||
|| hemifamity || 5120 / 5103 || | 10 -6 1 -1 &gt; || 5.758 ||
|| linus ||  || | 11 -10 -10 10 &gt; || 5.572 ||
|| porwell || 6144 / 6125 || | 11 1 -3 -2 &gt; || 5.362 ||
|| garischisma ||  || | 25 -14 0 -1 &gt; || 3.804 ||
|| wadisma ||  || | -26 -1 1 9 &gt; || 3.792 ||
|| quasiorwellisma ||  || | 22 -1 -10 1 &gt; || 3.734 ||
|| [[218edo]] (stacked 7/4 and 10/9) comma ||  || | 22 -32 16 -3 &gt; || 11.982 ||
|| bapbo || 256 / 245 || | 8 0 -1 -2 &gt; || 76.034 ||


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


==13-limit commas==
{| class="wikitable"
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|-
|| Hunt 13-cycle comma ||  || | -37 0 0 0 0 0 10 &gt; || 5.277 ||
! | name(s)
|| &lt;span style="font-size: 12.8000001907349px;"&gt;silver half cents comma&lt;/span&gt; ||  || &lt;span style="font-size: 12.8000001907349px;"&gt;| -8881 0 0 0 2400 &gt;&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;66.389&lt;/span&gt; ||
! | ratio
|| Hunt minor submediant comma || 1053 / 1024 || | -10 4 0 0 0 0 1 &gt; || 48.348 ||
! | monzo
|| astburyp ||  || | -19 -2 0 0 0 6 &gt; || 39.255 ||
! | cents
|| wilsorma || 65 / 64 || | -6 0 1 0 0 1 &gt; || 26.841 ||
|-
|| winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 &gt; || 26.432 ||
| | limma, Pythagorean minor second
|| negustma || 78 / 77 || | 1 1 0 -1 -1 1 &gt; || 22.229 ||
| | [[256/243|256 / 243]]
|| superleap || 91 / 90 || | -1 -2 -1 1 0 1 &gt; || 19.130 ||
| | | 8 -5 &gt;
|| animist || 105 / 104 || | -3 1 1 1 0 -1 &gt; || 16.567 ||
| | 90.225
|| secorian || 28672 / 28431 || | 12 -7 0 1 0 -1 &gt; || 14.613 ||
|-
|| mosaic || 3159 / 3136 || |-6 5 0 -2 0 1&gt; || 12.651 ||
| | [[Pythagorean_comma|Pythagorean comma]]
|| gassorma || 275 / 273 || | 0 -1 2 -1 1 -1 &gt; || 12.637 ||
| |  
|| [[grossma]] || 144 / 143 || | 4 2 0 0 -1 -1 &gt; || 12.064 ||
| | | -19 12 &gt;
|| buzurgisma, dhanvantarisma || 169 / 168 || | -3 -1 0 -1 0 2 &gt; || 10.274 ||
| | 23.460
|| catadictma || 1287 / 1280 || | -8 2 -1 0 1 1 &gt; || 9.442 ||
|-
|| [[mynucumic chords|mynucuma]] || 196 / 195 || | 2 -1 -1 2 0 -1 &gt; || 8.855 ||
| | [[17-comma|17-comma]]
|| [[huntmic chords|huntma]] || 640 / 637 || | 7 0 1 -2 0 -1 &gt; || 8.134 ||
| |  
|| [[threedie]] || 2197 / 2187 || | 0 -7 0 0 0 3 &gt; || 7.897 ||
| | | 27 -17 &gt;
|| [[kestrel chords|kestrel comma]] || 1188 / 1183 || | 2 3 0 -1 1 -2 &gt; || 7.302 ||
| | 66.765
|| [[marveltwin]] || 325 / 324 || | -2 -4 2 0 0 1 &gt; || 5.335 ||
|-
|| [[ratwolf triad|ratwolfsma]] || 351 / 350 || | -1 3 -2 -1 0 1 &gt; || 4.939 ||
| | [[29-comma|29-comma]]
|| [[minthmic chords|minthma]] || 352 / 351 || | 5 -3 0 0 1 -1 &gt; || 4.925 ||
| |  
|| [[gentle chords|gentle comma]] || 364 / 363 || | 2 -1 0 1 -2 1 &gt; || 4.763 ||
| | | 46 -29 &gt;
|| [[cuthbert triad|cuthbert]] || 847 / 845 || | 0 0 -1 1 2 -2 &gt; || 4.093 ||
| | 43.305
|-
| | [[41-comma|41-comma]]
| |  
| | | 65 -41 &gt;
| | 19.845
|-
| | Pythagorean Integer cents comma
| |  
| | | 317 -200 &gt;
| | 9.000
|-
| | [[Mercator's_comma|Mercator's comma]], 53-comma
| |  
| | | -84 53 &gt;
| | 3.615
|-
| | 70-comma
| |  
| | | 111 -70 &gt;
| | 63.150
|}


==17-limit commas==  
==5-limit commas==
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| 11 semitone comma ||  || | 45 0 0 0 0 0 -11 &gt; || 45.4905 ||
|| 12 semitone comma ||  || | -49 0 0 0 0 0 12 &gt; || 59.465 ||
|| 23 semitone comma ||  || | -93 0 0 0 0 0 23 &gt; || 13.974 ||
|| Hunt 17-cycle comma ||  || | -138 0 0 0 0 0 34 &gt; || 31.516 ||
|| 17-ripple integer cents comma ||  || | 327 0 0 0 0 0 -80 &gt; || 3.568 ||
|| Hunt flat 2 comma || 4131 / 4096 || | -12 5 0 0 0 0 1 &gt; || 14.730 ||
|| Blume comma || 2057 / 2048 || | -11 0 0 0 2 0 1 &gt; || 7.591 ||
|| Septendecimal Integer Cents comma || 289 / 288 || | -5 -2 0 0 0 0 2 &gt; || 6.001 ||
|| Tannisma || 273/272 || |-4 1 0 1 0 1 -2&gt; || 6.353 ||


==19-limit commas==
{| class="wikitable"
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|-
|| Hunt 19-cycle comma ||   || | 17 0 0 0 0 0 0 -4 &gt; || 9.950 ||
! | name(s)
|| spleen comma || 210 / 209 || | 1 1 1 1 -1 0 0 -1 &gt; || 8.264 ||
! | ratio
|| go comma || 361 / 360 || | -3 -2 -1 0 0 0 0 2 &gt; || 4.802 ||
! | monzo
[[media type="custom" key="25699772"]]</pre></div>
! | cents
<h4>Original HTML 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;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;&lt;span style="display: block; text-align: right;"&gt;&lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/Komma"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
| | Twenty-two thirds limma
&lt;/span&gt;&lt;br /&gt;
| |
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definition"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Definition&lt;/h1&gt;
| | | -51 0 22 &gt;
A &lt;strong&gt;comma&lt;/strong&gt; is a small interval that occurs in &lt;a class="wiki_link" href="/just%20intonation"&gt;just intonation&lt;/a&gt;, 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 &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;&lt;a class="wiki_link" href="/tempering%20out"&gt;tempered out&lt;/a&gt;&lt;/em&gt;, 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 &lt;a class="wiki_link" href="/Meantone"&gt;meantone temperament&lt;/a&gt;. 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 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s.&lt;br /&gt;
| | 98.902
&lt;br /&gt;
|-
For commas over 100 cents in size, see &lt;a class="wiki_link" href="/Large%20commas"&gt;Large commas&lt;/a&gt;; and for commas under 3.5 cents in size, see &lt;a class="wiki_link" href="/Unnoticeable%20commas"&gt;Unnoticeable commas&lt;/a&gt;&lt;br /&gt;
| | sibbolet
&lt;br /&gt;
| |  
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="List of commas, by prime limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;List of commas, by prime limit&lt;/h1&gt;
| | | -58 0 25 &gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="List of commas, by prime limit-3-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;3-limit commas&lt;/h2&gt;
| | 57.843
|-
| | Hunt 5-cycle comma
| |  
| | | -65 0 28 &gt;
| | 16.784
|-
| | acute thirds comma
| |  
| | | 72 0 -31 &gt;
| | 24.275
|-
| | 34-5-comma
| |  
| | | 79 0 -34 &gt;
| | 65.334
|-
| | Schismic thirds chromatic semitone
| |
| | | -123 0 53 &gt;
| | 74.627
|-
| | 10-15-comma
| |  
| | | -39 10 10 &gt;
| | 82.687
|-
| | 11-15-comma
| |
| | | 43 -11 -11 &gt;
| | 29.044
|-
| | 21-15-comma
| |
| | | 82 -21 -21 &gt;
| | 53.643
|-
| | 32-15-comma
| |
| | | 125 -32 -32 &gt;
| | 24.599
|-
| | Huntian 15-cycle comma
| |
| | | -168 43 43 &gt;
| | 4.445
|-
| | 53-15-comma
| |
| | | -207 53 53 &gt;
| | 78.242
|-
| | 54-15-comma
| |
| | | 211 -54 -54 &gt;
| | 33.489
|-
| | 76-15-comma
| |
| | | 297 -76 -76 &gt;
| | 91.578
|-
| | major chroma, major limma, pelogic comma
| | [[135/128|135 / 128]]
| | | -7 3 1 &gt;
| | 92.179
|-
| | ripple
| | 6561 / 6250
| | | -1 8 -5 &gt;
| | 84.071
|-
| | doublewide
| |
| | | -9 -6 8 &gt;
| | 78.780
|-
| | sevond
| |
| | | 6 -14 7 &gt;
| | 76.826
|-
| | nusecond
| |
| | | 5 13 -11 &gt;
| | 75.964
|-
| | sentinel
| |
| | | -33 15 4 &gt;
| | 74.580
|-
| | chromatic semitone
| | [[25/24|25 / 24]]
| | | -3 -1 2 &gt;
| | 70.672
|-
| | superpyth, grave minor second
| | 20480 / 19683
| | | 12 -9 1 &gt;
| | 68.719
|-
| | major diesis, diminished comma
| | [[648/625|648 / 625]]
| | | 3 4 -4 &gt;
| | 62.565
|-
| | passion
| |
| | | 18 -4 -5 &gt;
| | 60.611
|-
| | shibboleth
| |
| | | -5 -10 9 &gt;
| | 57.273
|-
| | mynic
| |
| | | 9 9 -10 &gt;
| | 54.458
|-
| | tritonic
| |
| | | -29 11 5 &gt;
| | 53.074
|-
| | [[negri_comma|negri comma]], double augmentation diesis
| | 16875 / 16384
| | | -14 3 4 &gt;
| | 51.120
|-
| | maximal diesis, porcupine comma
| | [[250/243|250 / 243]]
| | | 1 -5 3 &gt;
| | 49.166
|-
| | immunity
| |
| | | 16 -13 2 &gt;
| | 47.212
|-
| | diesis, augmented comma
| | [[128/125|128 / 125]]
| | | 7 0 -3 &gt;
| | 41.059
|-
| | wizard
| |
| | | -31 2 12 &gt;
| | 39.675
|-
| | sycamore
| |
| | | -16 -6 11 &gt;
| | 37.721
|-
| | fifive
| |
| | | -1 -14 10 &gt;
| | 35.767
|-
| | unicorn
| |
| | | -2 13 -8 &gt;
| | 34.905
|-
| | valensixthtone
| |
| | | 13 5 -9 &gt;
| | 32.952
|-
| | [[ampersand|ampersand]], Ampersand's comma
| |
| | | -25 7 6 &gt;
| | 31.567
|-
| | small diesis, [[magic_comma|magic comma]]
| | 3125 / 3072
| | | -10 -1 5 &gt;
| | 29.614
|-
| | minimal diesis, [[tetracot_comma|tetracot comma]]
| | 20000 / 19683
| | | 5 -9 4 &gt;
| | 27.660
|-
| | roda
| |
| | | 20 -17 3 &gt;
| | 25.706
|-
| | maja
| |
| | | -3 -23 17 &gt;
| | 22.368
|-
| | syntonic comma, Didymos comma, meantone comma
| | [[81/80|81 / 80]]
| | | -4 4 -1 &gt;
| | 21.506
|-
| | [[Maquila_family|maquila comma]]
| |
| | | 49 -6 -17 &gt;
| | 20.937
|-
| | [[diaschisma|diaschisma]]
| | 2048 / 2025
| | | 11 -4 -2 &gt;
| | 19.553
|-
| | ditonma
| |
| | | -27 -2 13 &gt;
| | 18.168
|-
| | [[misty_comma|misty comma]]
| |
| | | 26 -12 -3 &gt;
| | 17.599
|-
| | [[Pental_family|pental comma]]
| |
| | | -28 25 -5 &gt;
| | 17.306
|-
| | [[graviton|graviton]], [[Gravity_family|gravity]] comma
| |
| | | -13 17 -6 &gt;
| | 15.353
|-
| | quartonic
| |
| | | 3 -18 11 &gt;
| | 14.261
|-
| | medium semicomma, [[sensipent_comma|sensipent comma]]
| | 78732 / 78125
| | | 2 9 -7 &gt;
| | 13.399
|-
| | [[Würschmidt_comma|Würschmidt comma]]
| |
| | | 17 1 -8 &gt;
| | 11.445
|-
| | [[semicomma|semicomma]], Fokker comma
| |
| | | -21 3 7 &gt;
| | 10.061
|-
| | [[escapade_comma|escapade comma]]
| |
| | | 32 -7 -9 &gt;
| | 9.492
|-
| | [[kleisma|kleisma]], semicomma majeur
| | 15625 / 15552
| | | -6 -5 6 &gt;
| | 8.107
|-
| | unidecma
| |
| | | -7 22 -12 &gt;
| | 7.245
|-
| | [[mutt_comma|mutt comma]]
| |
| | | -44 -3 21 &gt;
| | 6.723
|-
| | [[amity_comma|amity comma]]
| |
| | | 9 -13 5 &gt;
| | 6.154
|-
| | [[parakleisma|parakleisma]]
| |
| | | 8 14 -13 &gt;
| | 5.292
|-
| | gammic comma
| |
| | | -29 -11 20 &gt;
| | 4.769
|-
| | [[vulture_comma|vulture comma]]
| |
| | | 24 -21 4 &gt;
| | 4.200
|-
| | 23-3/5-comma
| |
| | | 17 23 -23 &gt;
| | 59.750
|-
| | 34-3/5-comma
| |
| | | -25 -34 34 &gt;
| | 68.196
|-
| | 53-3/5-comma
| |
| | | 39 53 -53 &gt;
| | 71.012
|}


&lt;table class="wiki_table"&gt;
==7-limit commas==
    &lt;tr&gt;
        &lt;th&gt;name(s)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;monzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;limma, Pythagorean minor second&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/256_243"&gt;256 / 243&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 8 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;90.225&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Pythagorean%20comma"&gt;Pythagorean comma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -19 12 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23.460&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/17-comma"&gt;17-comma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 27 -17 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;66.765&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/29-comma"&gt;29-comma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 46 -29 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43.305&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/41-comma"&gt;41-comma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 65 -41 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.845&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Pythagorean Integer cents comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 317 -200 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Mercator%27s%20comma"&gt;Mercator's comma&lt;/a&gt;, 53-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -84 53 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.615&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;70-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 111 -70 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;63.150&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="List of commas, by prime limit-5-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;5-limit commas&lt;/h2&gt;
{| class="wikitable"
|-
! | name(s)
! | ratio
! | monzo
! | cents
|-
| | hexadecatone comma, 16-7-comma
| |
| | | 45 0 0 -16 &gt;
| | 98.7855
|-
| | 21-7-comma
| |
| | | 59 0 0 -21 &gt;
| | 54.656
|-
| | Hunt 7-cycle comma
| |
| | | 73 0 0 -26 &gt;
| | 10.526
|-
| | German sixth comma
| |
| | | -87 0 0 31 &gt;
| | 33.603
|-
| | large deep red comma
| | 6561 / 6272
| | | -7, 8, 0 -2 &gt;
| | 77.988
|-
| | 36-7-comma
| |
| | | -101 0 0 36 &gt;
| | 77.737
|-
| | 47-7-comma
| |
| | | 132 0 0 0 -47 &gt;
| | 65.182
|-
| | slendro integer cents comma
| |
| | | 1127 0 0 -400 &gt;
| | 69.637
|-
| | 29-7/5-comma
| |
| | | -14 0 -29 29 &gt;
| | 92.854
|-
| | 31-7/5-comma
| |
| | | -15 0 -31 31 &gt;
| | 57.878
|-
| | 33-7/5-comma
| |
| | | -16 0 -33 33 &gt;
| | 22.902
|-
| | 35-7/5-comma
| |
| | | 18 0 35 -35 &gt;
| | 12.073
|-
| | 37-7/5-comma
| |
| | | 19 0 37 -37 &gt;
| | 47.049
|-
| | 39-7/5-comma
| |
| | | 20 0 39 -39 &gt;
| | 82.0245
|-
| | 5-21-comma
| |
| | | 22 -5 0 -5 &gt;
| | 46.0955
|-
| | 18-21-comma
| |
| | | -79 18 0 18 &gt;
| | 74.056
|-
| | 23-21-comma
| |
| | | -101 23 0 23 &gt;
| | 27.961
|-
| | Huntian 21-cycle comma
| |
| | | 123 -28 0 -28 &gt;
| | 18.135
|-
| | 33-21-comma
| |
| | | 145 -33 0 -33 &gt;
| | 64.230
|-
| | 8-35-comma
| |
| | | -41 0 8 8 &gt;
| | 41.117
|-
| | 15-35-comma
| |
| | | 77 0 -15 -15 &gt;
| | 72.906
|-
| | 23-35-comma
| |
| | | 118 0 -23 -23 &gt;
| | 31.789
|-
| | 31-35-comma
| |
| | | -159 0 31 31 &gt;
| | 9.328
|-
| | 39-35-comma
| |
| | | -200 0 39 39 &gt;
| | 50.445
|-
| | 47-35-comma
| |
| | | -241 0 47 47 &gt;
| | 91.562
|-
| | Huntian 35-cycle comma
| |
| | | 277 0 -54 -54 &gt;
| | 22.4605
|-
| | greenwoodma
| | 405 / 392
| | | -3 4 1 -2 &gt;
| | 56.482
|-
| | Harrison's comma
| | [[59049/57344|59049 / 57344]]
| | | -13 10 0 -1 &gt;
| | 50.724
|-
| | keega
| | 1029 / 1000
| | | -3 1 -3 3 &gt;
| | 49.492
|-
| | septimal quarter tone
| | [[36/35|36 / 35]]
| | | 2 2 -1 -1 &gt;
| | 48.770
|-
| | quarter tone comma
| |
| | | 49 50 -25 -25 &gt;
| | 19.2595
|-
| | cloudy
| | 16807 / 16384
| | | -14 0 0 5 &gt;
| | 44.130
|-
| | Avicenna, Avicenna's enharmonic diesis
| | 525 / 512
| | | -9 1 2 1 &gt;
| | 43.408
|-
| | slendro diesis
| | [[49/48|49 / 48]]
| | | -4 -1 0 2 &gt;
| | 35.597
|-
| | slendro 34-comma
| |
| | | -137 -34 0 68 &gt;
| | 13.692
|-
| | 34-jubilismic comma
| |
| | | -33 0 -68 68 &gt;
| | 10.829
|-
| | tritonic diesis, jubilisma
| | [[50/49|50 / 49]]
| | | 1 0 2 -2 &gt;
| | 34.976
|-
| | eric
| |
| | | 7 8 0 -7 &gt;
| | 33.859
|-
| | senga
| | 686 / 675
| | | 1 -3 -2 3 &gt;
| | 27.985
|-
| | septimal comma, Archytas' comma, Leipziger Komma
| | [[64/63|64 / 63]]
| | | 6 -2 0 -1 &gt;
| | 27.264
|-
| | blackjackisma
| |
| | | -10 7 8 -7 &gt;
| | 22.413
|-
| | squalentine
| | 64827 / 64000
| | | -9 3 -3 4 &gt;
| | 22.227
|-
| | keema
| | 875 / 864
| | | -5 -3 3 1 &gt;
| | 21.902
|-
| | gariboh
| | 3125 / 3087
| | | 0 -2 5 -3 &gt;
| | 21.181
|-
| | nuwell
| | 2430 / 2401
| | | 1 5 1 -4 &gt;
| | 20.785
|-
| | tolerma
| |
| | | 10 -11 2 1 &gt;
| | 19.948
|-
| | mirwomo
| | 33075 / 32768
| | | -15 3 2 2 &gt;
| | 16.144
|-
| | trimyna
| | 50421 / 50000
| | | -4 1 -5 5 &gt;
| | 14.516
|-
| | sensamagic
| | 245 / 243
| | | 0 -5 1 2 &gt;
| | 14.191
|-
| | septimal semicomma, starling comma
| | [[126/125|126 / 125]]
| | | 1 2 -3 1 &gt;
| | 13.795
|-
| | octagar
| | 4000 / 3969
| | | 5 -4 3 -2 &gt;
| | 13.469
|-
| | orwellisma, orwell comma
| | 1728 / 1715
| | | 6 3 -1 -3 &gt;
| | 13.074
|-
| | quince
| |
| | | -15 0 -2 7 &gt;
| | 9.154
|-
| | gamelisma
| | 1029 / 1024
| | | -10 1 0 3 &gt;
| | 8.433
|-
| | varunisma
| |
| | | -9 8 -4 2 &gt;
| | 8.037
|-
| | septimal kleisma, marvel comma
| | [[225/224|225 / 224]]
| | | -5 2 2 -1 &gt;
| | 7.712
|-
| | dimcomp
| |
| | | -1 -4 8 -4 &gt;
| | 7.386
|-
| | cataharry
| | 19683 / 19600
| | | -4 9 -2 -2 &gt;
| | 7.316
|-
| | mirkwai
| | 16875 / 16807
| | | 0 3 4 -5 &gt;
| | 6.990
|-
| | stearnsma
| |
| | | 1 10 0 -6 &gt;
| | 6.595
|-
| | hemimage
| | 10976 / 10935
| | | 5 -7 -1 3 &gt;
| | 6.479
|-
| | hemimean
| | 3136 / 3125
| | | 6 0 -5 2 &gt;
| | 6.083
|-
| | hemifamity
| | 5120 / 5103
| | | 10 -6 1 -1 &gt;
| | 5.758
|-
| | linus
| |
| | | 11 -10 -10 10 &gt;
| | 5.572
|-
| | porwell
| | 6144 / 6125
| | | 11 1 -3 -2 &gt;
| | 5.362
|-
| | garischisma
| |
| | | 25 -14 0 -1 &gt;
| | 3.804
|-
| | wadisma
| |
| | | -26 -1 1 9 &gt;
| | 3.792
|-
| | quasiorwellisma
| |
| | | 22 -1 -10 1 &gt;
| | 3.734
|-
| | [[218edo|218edo]] (stacked 7/4 and 10/9) comma
| |
| | | 22 -32 16 -3 &gt;
| | 11.982
|-
| | bapbo
| | 256 / 245
| | | 8 0 -1 -2 &gt;
| | 76.034
|}


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


&lt;br /&gt;
{| class="wikitable"
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="List of commas, by prime limit-7-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;7-limit commas&lt;/h2&gt;
|-
! | name(s)
! | ratio
! | monzo
! | cents
|-
| | 11-cycle chroma, 11-11-comma
| |
| | | -38 0 0 0 11 &gt;
| | 64.497
|-
| | 11-cycle major seventh prote, 35-11-comma
| |
| | | -121 0 0 0 35 &gt;
| | 96.128
|-
| | Hunt 11-cycle comma
| |
| | | -83 0 0 0 24 &gt;
| | 31.631
|-
| | Hunt flat 5 comma
| | 8192 / 8019
| | | 13 -6 0 0 -1 &gt;
| | 36.952
|-
| | sterno
| | 352 / 343
| | | 5 0 0 -3 1 &gt;
| | 44.840
|-
| | the Igs boson<span style="line-height: 1.5;">, 13-11-comma</span>
| |
| | | 45 0 0 0 -13 &gt;
| | 32.867
|-
| | telepathma
| | 55 / 54
| | | -1 -3 1 0 1 &gt;
| | 31.767
|-
| | thuja comma
| |
| | | 15 0 1 0 -5 &gt;
| | 29.724
|-
| | sensmus
| | 1232 / 1215
| | | 4 -5 -1 1 1 &gt;
| | 24.055
|-
| | sevnothrush
| | 3168 / 3125
| | | 5 2 -5 0 1 &gt;
| | 23.659
|-
| | cassacot
| | 245 / 242
| | | -1 0 1 2 -2 &gt;
| | 21.330
|-
| | [[mothwellsmic_triad|mothwellsma]]
| | 99 / 98
| | | -1 2 0 -2 1 &gt;
| | 17.576
|-
| | [[ptolemismic_triad|ptolemisma]]
| | [[100/99|100 / 99]]
| | | 2 -2 2 0 -1 &gt;
| | 17.399
|-
| | hemimin
| | 1344 / 1331
| | | 6 1 0 1 -3 &gt;
| | 16.827
|-
| | biyatisma
| | 121 / 120
| | | -3 -1 -1 0 2 &gt;
| | 14.367
|-
| | aphrowe
| | 1331 / 1323
| | | 0 -3 0 -2 3 &gt;
| | 10.437
|-
| | [[valinorsmic_chords|valinorsma]]
| | 176 / 175
| | | 4 0 -2 -1 1 &gt;
| | 9.865
|-
| | [[pentacircle_comma|pentacircle]]
| | 896 / 891
| | | 7 -4 0 1 -1 &gt;
| | 9.688
|-
| | orgonisma
| | 65536 / 65219
| | | 16 0 0 -2 -3 &gt;
| | 8.394
|-
| | [[rastmic_chords|rastma]]
| | 243 / 242
| | | -1 5 0 0 -2 &gt;
| | 7.139
|-
| | myhemiwell
| | 3388 / 3375
| | | 2 -3 -3 1 2 &gt;
| | 6.656
|-
| | [[keenanismic_chords|keenanisma]]
| | [[385/384|385 / 384]]
| | | -7 -1 1 1 1 &gt;
| | 4.503
|-
| | [[werckismic_chords|werckisma]]
| | 441 / 440
| | | -3 2 -1 2 -1 &gt;
| | 3.930
|-
| | moctdel
| | 1375 / 1372
| | | -2 0 3 -3 1 &gt;
| | 3.781
|}


&lt;table class="wiki_table"&gt;
==13-limit commas==
    &lt;tr&gt;
        &lt;th&gt;name(s)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;monzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;hexadecatone comma, 16-7-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 45 0 0 -16 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;98.7855&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21-7-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 59 0 0 -21 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;54.656&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Hunt 7-cycle comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 73 0 0 -26 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10.526&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;German sixth comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -87 0 0 31 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;33.603&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;large deep red comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6561 / 6272&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -7, 8, 0 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;77.988&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36-7-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -101 0 0 36 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;77.737&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47-7-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 132 0 0 0 -47 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;65.182&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;slendro integer cents comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1127 0 0 -400 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;69.637&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29-7/5-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -14 0 -29 29 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;92.854&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31-7/5-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -15 0 -31 31 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;57.878&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33-7/5-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -16 0 -33 33 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.902&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35-7/5-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 18 0 35 -35 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.073&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37-7/5-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 19 0 37 -37 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;47.049&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39-7/5-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 20 0 39 -39 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;82.0245&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5-21-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 22 -5 0 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;46.0955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18-21-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -79 18 0 18 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;74.056&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23-21-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -101 23 0 23 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27.961&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Huntian 21-cycle comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 123 -28 0 -28 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18.135&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33-21-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 145 -33 0 -33 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;64.230&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8-35-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -41 0 8 8 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;41.117&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15-35-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 77 0 -15 -15 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;72.906&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23-35-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 118 0 -23 -23 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31.789&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31-35-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -159 0 31 31 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.328&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39-35-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -200 0 39 39 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;50.445&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47-35-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -241 0 47 47 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;91.562&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Huntian 35-cycle comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 277 0 -54 -54 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.4605&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;greenwoodma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;405 / 392&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 4 1 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;56.482&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Harrison's comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/59049_57344"&gt;59049 / 57344&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -13 10 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;50.724&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;keega&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1029 / 1000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 1 -3 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;49.492&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;septimal quarter tone&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/36_35"&gt;36 / 35&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 2 2 -1 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;48.770&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;quarter tone comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 49 50 -25 -25 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.2595&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;cloudy&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16807 / 16384&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -14 0 0 5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;44.130&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Avicenna, Avicenna's enharmonic diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;525 / 512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -9 1 2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43.408&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;slendro diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/49_48"&gt;49 / 48&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -4 -1 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;35.597&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;slendro 34-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -137 -34 0 68 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.692&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34-jubilismic comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -33 0 -68 68 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10.829&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;tritonic diesis, jubilisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/50_49"&gt;50 / 49&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 0 2 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;34.976&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;eric&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 7 8 0 -7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;33.859&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;senga&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;686 / 675&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 -3 -2 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27.985&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;septimal comma, Archytas' comma, Leipziger Komma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/64_63"&gt;64 / 63&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 6 -2 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;blackjackisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.413&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;squalentine&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;64827 / 64000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -9 3 -3 4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.227&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;keema&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;875 / 864&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 -3 3 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21.902&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;gariboh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3125 / 3087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 0 -2 5 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21.181&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;nuwell&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2430 / 2401&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 5 1 -4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20.785&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;tolerma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 10 -11 2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.948&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;mirwomo&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;33075 / 32768&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -15 3 2 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16.144&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;trimyna&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;50421 / 50000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -4 1 -5 5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.516&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;sensamagic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;245 / 243&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 0 -5 1 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.191&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;septimal semicomma, starling comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/126_125"&gt;126 / 125&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 2 -3 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.795&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;octagar&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4000 / 3969&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 5 -4 3 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.469&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;orwellisma, orwell comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1728 / 1715&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 6 3 -1 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.074&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;quince&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -15 0 -2 7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.154&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;gamelisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1029 / 1024&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -10 1 0 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.433&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;varunisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -9 8 -4 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.037&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;septimal kleisma, marvel comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/225_224"&gt;225 / 224&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.712&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;dimcomp&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 -4 8 -4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.386&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;cataharry&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19683 / 19600&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -4 9 -2 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.316&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;mirkwai&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16875 / 16807&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 0 3 4 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.990&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;stearnsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 10 0 -6 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.595&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;hemimage&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10976 / 10935&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 5 -7 -1 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.479&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;hemimean&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3136 / 3125&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 6 0 -5 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.083&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;hemifamity&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5120 / 5103&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 10 -6 1 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.758&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;linus&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 11 -10 -10 10 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.572&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;porwell&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6144 / 6125&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 11 1 -3 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.362&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;garischisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 25 -14 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.804&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;wadisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -26 -1 1 9 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.792&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;quasiorwellisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 22 -1 -10 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.734&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/218edo"&gt;218edo&lt;/a&gt; (stacked 7/4 and 10/9) comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 22 -32 16 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11.982&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;bapbo&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;256 / 245&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 8 0 -1 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;76.034&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
{| class="wikitable"
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="List of commas, by prime limit-11-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;11-limit commas&lt;/h2&gt;
|-
! | name(s)
! | ratio
! | monzo
! | cents
|-
| | Hunt 13-cycle comma
| |
| | | -37 0 0 0 0 0 10 &gt;
| | 5.277
|-
| | <span style="font-size: 12.8000001907349px;">silver half cents comma</span>
| |
| | <span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 &gt;</span>
| | <span style="font-size: 12.8000001907349px;">66.389</span>
|-
| | Hunt minor submediant comma
| | 1053 / 1024
| | | -10 4 0 0 0 0 1 &gt;
| | 48.348
|-
| | astburyp
| |
| | | -19 -2 0 0 0 6 &gt;
| | 39.255
|-
| | wilsorma
| | 65 / 64
| | | -6 0 1 0 0 1 &gt;
| | 26.841
|-
| | winmeanma
| | 66 / 65
| | | 1 1 -1 0 1 -1 &gt;
| | 26.432
|-
| | negustma
| | 78 / 77
| | | 1 1 0 -1 -1 1 &gt;
| | 22.229
|-
| | superleap
| | 91 / 90
| | | -1 -2 -1 1 0 1 &gt;
| | 19.130
|-
| | animist
| | 105 / 104
| | | -3 1 1 1 0 -1 &gt;
| | 16.567
|-
| | secorian
| | 28672 / 28431
| | | 12 -7 0 1 0 -1 &gt;
| | 14.613
|-
| | mosaic
| | 3159 / 3136
| | |-6 5 0 -2 0 1&gt;
| | 12.651
|-
| | gassorma
| | 275 / 273
| | | 0 -1 2 -1 1 -1 &gt;
| | 12.637
|-
| | [[grossma|grossma]]
| | 144 / 143
| | | 4 2 0 0 -1 -1 &gt;
| | 12.064
|-
| | buzurgisma, dhanvantarisma
| | 169 / 168
| | | -3 -1 0 -1 0 2 &gt;
| | 10.274
|-
| | catadictma
| | 1287 / 1280
| | | -8 2 -1 0 1 1 &gt;
| | 9.442
|-
| | [[mynucumic_chords|mynucuma]]
| | 196 / 195
| | | 2 -1 -1 2 0 -1 &gt;
| | 8.855
|-
| | [[huntmic_chords|huntma]]
| | 640 / 637
| | | 7 0 1 -2 0 -1 &gt;
| | 8.134
|-
| | [[threedie|threedie]]
| | 2197 / 2187
| | | 0 -7 0 0 0 3 &gt;
| | 7.897
|-
| | [[kestrel_chords|kestrel comma]]
| | 1188 / 1183
| | | 2 3 0 -1 1 -2 &gt;
| | 7.302
|-
| | [[Marveltwin|marveltwin]]
| | 325 / 324
| | | -2 -4 2 0 0 1 &gt;
| | 5.335
|-
| | [[ratwolf_triad|ratwolfsma]]
| | 351 / 350
| | | -1 3 -2 -1 0 1 &gt;
| | 4.939
|-
| | [[minthmic_chords|minthma]]
| | 352 / 351
| | | 5 -3 0 0 1 -1 &gt;
| | 4.925
|-
| | [[gentle_chords|gentle comma]]
| | 364 / 363
| | | 2 -1 0 1 -2 1 &gt;
| | 4.763
|-
| | [[cuthbert_triad|cuthbert]]
| | 847 / 845
| | | 0 0 -1 1 2 -2 &gt;
| | 4.093
|}


&lt;table class="wiki_table"&gt;
==17-limit commas==
    &lt;tr&gt;
        &lt;th&gt;name(s)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;monzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11-cycle chroma, 11-11-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -38 0 0 0 11 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;64.497&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11-cycle major seventh prote, 35-11-comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -121 0 0 0 35 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;96.128&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Hunt 11-cycle comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -83 0 0 0 24 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31.631&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Hunt flat 5 comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8192 / 8019&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 13 -6 0 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;36.952&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;sterno&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;352 / 343&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 5 0 0 -3 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;44.840&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;the Igs boson&lt;span style="line-height: 1.5;"&gt;, 13-11-comma&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 45 0 0 0 -13 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;32.867&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;telepathma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;55 / 54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 -3 1 0 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31.767&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;thuja comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 15 0 1 0 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29.724&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;sensmus&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1232 / 1215&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 4 -5 -1 1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24.055&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;sevnothrush&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3168 / 3125&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 5 2 -5 0 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23.659&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;cassacot&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;245 / 242&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 0 1 2 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21.330&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/mothwellsmic%20triad"&gt;mothwellsma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;99 / 98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 2 0 -2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.576&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/ptolemismic%20triad"&gt;ptolemisma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/100_99"&gt;100 / 99&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 2 -2 2 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.399&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;hemimin&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1344 / 1331&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 6 1 0 1 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16.827&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;biyatisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;121 / 120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 -1 -1 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.367&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;aphrowe&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1331 / 1323&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 0 -3 0 -2 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10.437&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/valinorsmic%20chords"&gt;valinorsma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;176 / 175&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 4 0 -2 -1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.865&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/pentacircle%20comma"&gt;pentacircle&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;896 / 891&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 7 -4 0 1 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.688&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;orgonisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;65536 / 65219&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 16 0 0 -2 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.394&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/rastmic%20chords"&gt;rastma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;243 / 242&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 5 0 0 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.139&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;myhemiwell&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3388 / 3375&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 2 -3 -3 1 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.656&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/keenanismic%20chords"&gt;keenanisma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/385_384"&gt;385 / 384&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -7 -1 1 1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4.503&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/werckismic%20chords"&gt;werckisma&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;441 / 440&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 2 -1 2 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.930&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;moctdel&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1375 / 1372&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -2 0 3 -3 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.781&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
{| class="wikitable"
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="List of commas, by prime limit-13-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;13-limit commas&lt;/h2&gt;
|-
! | name(s)
! | ratio
! | monzo
! | cents
|-
| | 11 semitone comma
| |
| | | 45 0 0 0 0 0 -11 &gt;
| | 45.4905
|-
| | 12 semitone comma
| |
| | | -49 0 0 0 0 0 12 &gt;
| | 59.465
|-
| | 23 semitone comma
| |
| | | -93 0 0 0 0 0 23 &gt;
| | 13.974
|-
| | Hunt 17-cycle comma
| |
| | | -138 0 0 0 0 0 34 &gt;
| | 31.516
|-
| | 17-ripple integer cents comma
| |
| | | 327 0 0 0 0 0 -80 &gt;
| | 3.568
|-
| | Hunt flat 2 comma
| | 4131 / 4096
| | | -12 5 0 0 0 0 1 &gt;
| | 14.730
|-
| | Blume comma
| | 2057 / 2048
| | | -11 0 0 0 2 0 1 &gt;
| | 7.591
|-
| | Septendecimal Integer Cents comma
| | 289 / 288
| | | -5 -2 0 0 0 0 2 &gt;
| | 6.001
|-
| | Tannisma
| | 273/272
| | |-4 1 0 1 0 1 -2&gt;
| | 6.353
|}


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


&lt;br /&gt;
{| class="wikitable"
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="List of commas, by prime limit-17-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;17-limit commas&lt;/h2&gt;
|-
! | name(s)
 
! | ratio
&lt;table class="wiki_table"&gt;
! | monzo
    &lt;tr&gt;
! | cents
        &lt;th&gt;name(s)&lt;br /&gt;
|-
&lt;/th&gt;
| | Hunt 19-cycle comma
        &lt;th&gt;ratio&lt;br /&gt;
| |  
&lt;/th&gt;
| | | 17 0 0 0 0 0 0 -4 &gt;
        &lt;th&gt;monzo&lt;br /&gt;
| | 9.950
&lt;/th&gt;
|-
        &lt;th&gt;cents&lt;br /&gt;
| | spleen comma
&lt;/th&gt;
| | 210 / 209
    &lt;/tr&gt;
| | | 1 1 1 1 -1 0 0 -1 &gt;
    &lt;tr&gt;
| | 8.264
        &lt;td&gt;11 semitone comma&lt;br /&gt;
|-
&lt;/td&gt;
| | go comma
        &lt;td&gt;&lt;br /&gt;
| | 361 / 360
&lt;/td&gt;
| | | -3 -2 -1 0 0 0 0 2 &gt;
        &lt;td&gt;| 45 0 0 0 0 0 -11 &amp;gt;&lt;br /&gt;
| | 4.802
&lt;/td&gt;
|}
        &lt;td&gt;45.4905&lt;br /&gt;
[[Category:comma]]
&lt;/td&gt;
[[Category:interval]]
    &lt;/tr&gt;
[[Category:list]]
    &lt;tr&gt;
[[Category:theory]]
        &lt;td&gt;12 semitone comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -49 0 0 0 0 0 12 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;59.465&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23 semitone comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -93 0 0 0 0 0 23 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13.974&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Hunt 17-cycle comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -138 0 0 0 0 0 34 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31.516&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17-ripple integer cents comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 327 0 0 0 0 0 -80 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.568&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Hunt flat 2 comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4131 / 4096&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -12 5 0 0 0 0 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.730&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Blume comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2057 / 2048&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -11 0 0 0 2 0 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.591&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Septendecimal Integer Cents comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;289 / 288&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 -2 0 0 0 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.001&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Tannisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;273/272&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;|-4 1 0 1 0 1 -2&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.353&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="List of commas, by prime limit-19-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;19-limit commas&lt;/h2&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;name(s)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;monzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Hunt 19-cycle comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 17 0 0 0 0 0 0 -4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.950&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;spleen comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210 / 209&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 1 1 1 -1 0 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;go comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;361 / 360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 -2 -1 0 0 0 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4.802&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
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Revision as of 00:00, 17 July 2018

de:Komma Deutsch

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 low prime limit. The word is often used in reference to regular tempering when the comma is 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 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 cents.

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 | 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 | -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 | -3 -1 2 > 70.672
superpyth, grave minor second 20480 / 19683 | 12 -9 1 > 68.719
major diesis, diminished comma 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 | 1 -5 3 > 49.166
immunity | 16 -13 2 > 47.212
diesis, augmented comma 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 | -4 4 -1 > 21.506
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 comma | -28 25 -5 > 17.306
graviton, 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 | -13 10 0 -1 > 50.724
keega 1029 / 1000 | -3 1 -3 3 > 49.492
septimal quarter tone 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 | -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 | 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 | 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 | 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 | -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
bapbo 256 / 245 | 8 0 -1 -2 > 76.034

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, 13-11-comma | 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
mothwellsma 99 / 98 | -1 2 0 -2 1 > 17.576
ptolemisma 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
valinorsma 176 / 175 | 4 0 -2 -1 1 > 9.865
pentacircle 896 / 891 | 7 -4 0 1 -1 > 9.688
orgonisma 65536 / 65219 | 16 0 0 -2 -3 > 8.394
rastma 243 / 242 | -1 5 0 0 -2 > 7.139
myhemiwell 3388 / 3375 | 2 -3 -3 1 2 > 6.656
keenanisma 385 / 384 | -7 -1 1 1 1 > 4.503
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
silver half cents comma | -8881 0 0 0 2400 > 66.389
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
mynucuma 196 / 195 | 2 -1 -1 2 0 -1 > 8.855
huntma 640 / 637 | 7 0 1 -2 0 -1 > 8.134
threedie 2197 / 2187 | 0 -7 0 0 0 3 > 7.897
kestrel comma 1188 / 1183 | 2 3 0 -1 1 -2 > 7.302
marveltwin 325 / 324 | -2 -4 2 0 0 1 > 5.335
ratwolfsma 351 / 350 | -1 3 -2 -1 0 1 > 4.939
minthma 352 / 351 | 5 -3 0 0 1 -1 > 4.925
gentle comma 364 / 363 | 2 -1 0 1 -2 1 > 4.763
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
Tannisma 273/272 |-4 1 0 1 0 1 -2> 6.353

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