Small comma
IMPORTED REVISION FROM WIKISPACES
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Original Wikitext content:
=Definition= A **comma** is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is //[[tempering out|tempered out]]//, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in [[cent]]s. =List of commas, by prime limit= ==3-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 > || 90.225 || || apotome || [[2187_2048|2187 / 2048]] || | -11 7 > || 113.685 || || [[Pythagorean comma]] || 531441 / 524288 || | -19 12 > || 23.460 || || [[17-comma]] || 134217728 / 129140163 || | 27 -17 > || 66.765 || || [[29-comma]] || 70368744177664 / 68630377364883 || | 46 -29 > || 43.305 || || [[41-comma]] || 36893488147419103232 / 36472996377170786403 || | 65 -41 > || 19.845 || || [[Mercator's comma]], 53-comma || 19383245667680019896796723 / 19342813113834066795298816 || | -84 53 > || 3.615 || || Sasktel comma || || | 485 -306 > || 1.770 || || [[Satanic comma]] || || | -1054 665 > || 0.076 || ==5-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || enipucrop || 1125 / 1024 || | -10 2 3 > || 162.851 || || supersharp || 800 / 729 || | 5 -6 2 > || 160.897 || || gorgo || 2187 / 2000 || | -4 7 -3 > || 154.744 || || large limma || [[27_25|27 / 25]] || |0 3 -1> || 133.238 || || lemba || 140625 / 131072 || | -17 2 6 > || 121.792 || || sixix || 3125 / 2916 || | -2 -6 5 > || 119.839 || || diesma || 10460353203 / 9765625000 || | -3 21 -13 > || 118.977 || || comic || 5120000 / 4782969 || | 13 -14 4 > || 117.885 || || just diatonic semitone|| [[16_15|16 / 15]] || |4 -1 -1> || 111.731 || || beatles || 524288 / 492075 || | 19 -9 -2 > || 109.778 || || wronecki || 531441 / 500000 || | -5 12 -6 > || 105.578 || || wesley || 78125 / 73728 || | -13 -2 7 > || 100.286 || || major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 > || 92.179 || || ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 || || doublewide || 390625 / 373248 || | -9 -6 8 > || 78.780 || || sevond || 5000000 / 4782969 || | 6 -14 7 > || 76.826 || || nusecond || 51018336 / 48828125 || | 5 13 -11 > || 75.964 || || sentinel || 8968066875 / 8589934592 || | -33 15 4 > || 74.580 || || chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 > || 70.672 || || superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 > || 68.719 || || major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 || || passion || 262144 / 253125 || | 18 -4 -5 > || 60.611 || || shibboleth || 1953125 / 1889568 || | -5 -10 9 > || 57.273 || || mynic || 10077696 / 9765625 || | 9 9 -10 > || 54.458 || || tritonic || 553584375 / 536870912 || | -29 11 5 > || 53.074 || || [[negri comma]], double augmentation diesis || 16875 / 16384 || | -14 3 4 > || 51.120 || || maximal diesis, porcupine comma || [[250_243|250 / 243]] || | 1 -5 3 > || 49.166 || || immunity || 1638400 / 1594323 || | 16 -13 2 > || 47.212 || || diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 > || 41.059 || || wizard || 2197265625 / 2147483648 || | -31 2 12 > || 39.675 || || sycamore || 48828125 / 47775744 || | -16 -6 11 > || 37.721 || || fifive || 9765625 / 9565938 || | -1 -14 10 > || 35.767 || || unicorn || 1594323 / 1562500 || | -2 13 -8 > || 34.905 || || valensixthtone || 1990656 / 1953125 || | 13 5 -9 > || 32.952 || || [[ampersand]], Ampersand's comma || 34171875 / 33554432 || | -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 || 131072000 / 129140163 || | 20 -17 3 > || 25.706 || || maja || 762939453125 / 753145430616 || | -3 -23 17 > || 22.368 || || syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 > || 21.506 || || [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 > || 19.553 || || ditonma || 1220703125 / 1207959552 || | -27 -2 13 > || 18.168 || || [[misty comma]] || 67108864 / 66430125 || | 26 -12 -3 > || 17.599 || || [[graviton]], [[Gravity family|gravity]] comma || 129140163 / 128000000 || | -13 17 -6 > || 15.353 || || quartonic || 390625000 / 387420489 || | 3 -18 11 > || 14.261 || || medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 || || [[Würschmidt comma]] || 393216 / 390625 || | 17 1 -8 > || 11.445 || || [[semicomma]], Fokker comma || 2109375 / 2097152 || | -21 3 7 > || 10.061 || || [[escapade comma]] || || | 32 -7 -9 > || 9.492 || || [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 || || unidecma || 31381059609 / 31250000000 || | -7 22 -12 > || 7.245 || || [[mutt comma]] || || | -44 -3 21 > || 6.723 || || [[amity comma]] || 1600000 / 1594323 || | 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 || || rubidia || || |-67 -9 35> || 3.385 || || [[vishnuzma]], semisuper || 6115295232 / 6103515625 || | 23 6 -14 > || 3.338 || || [[enneadeca]], 19-tone-comma || || | -14 -19 19 > || 2.816 || || vavoom || || | -68 18 17 > || 2.523 || || tricot comma || || | 39 -29 3 > || 2.246 || || schisma || [[32805_32768|32805 / 32768]] || | -15 8 1 > || 1.954 || || counterschisma || || | -69 45 -1 > || 1.661 || || septendecima || || | -52 -17 34 > || 1.431 || || hemithirds comma, lunama || 274877906944 / 274658203125 || | 38 -2 -15 > || 1.384 || || minortone comma || || | -16 35 -17 > || 1.092 || || [[Ennealimmal|ennealimma]] || 7629394531250 / 7625597484987 || | 1 -27 18 > || 0.862 || || astro || || | 91 -12 -31 > || 0.815 || || kwazy || || | -53 10 16 > || 0.569 || || whoosh || || | 37 25 -33 > || 0.522 || || egads || || | -36 -52 51 > || 0.339 || || monzisma || || | 54 -37 2 > || 0.292 || || fortune || || | -107 47 14 > || 0.277 || || gross || || | 144 -22 -47 > || 0.245 || || senior || || | -17 62 -35 > || 0.230 || || raider || || | 71 -99 37 > || 0.062 || || pirate || || | -90 -15 49 > || 0.047 || || viking || || |-251 69 61> || 0.032 || || atom || || | 161 -84 -12 > || 0.015 || || selenia || || |-433 -137 280> || 0.004764 || || titania || || |2746 -521 -827> || 0.003183 || || quark || || |-537 237 85> || 0.000884 || || rover || || |1634 1502 -1729> || 0.000028 || || rascal || || |-7470 2791 1312> || 0.000006 || ==7-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || 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|36 / 35]] || | 2 2 -1 -1 > || 48.770 || || cloudy || 16807 / 16384 || | -14 0 0 5 > || 44.130 || || avicennma, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 || || slendro diesis || [[49_48|49 / 48]] || | -4 -1 0 2 > || 35.597 || || tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 || || eric || 839808 / 823543 || | 7 8 0 -7 > || 33.859 || || senga || 686 / 675 || | 1 -3 -2 3 > || 27.985 || || septimal comma, Archytas' comma, Leipziger Komma || [[64_63|64 / 63]] || | 6 -2 0 -1 > || 27.264 || || blackjackisma || 854296875 / 843308032 || | -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 || 179200 / 177147 || | 10 -11 2 1 > || 19.948 || || mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 || || trimyna || 50421 / 50000 || | -4 1 -5 5 > || 14.516 || || sensamagic || 245 / 243 || | 0 -5 1 2 > || 14.191 || || septimal semicomma, starling comma || [[126_125|126 / 125]] || | 1 2 -3 1 > || 13.795 || || octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 || || orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 || || quince || 823543 / 819200 || | -15 0 -2 7 > || 9.154 || || gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 || || varunisma || 321489 / 320000 || | -9 8 -4 2 > || 8.037 || || septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 > || 7.712 || || dimcomp || 390625 / 388962 || | -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 || 118098 / 117649 || | 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 || 578509309952 / 576650390625 || | 11 -10 -10 10 > || 5.572 || || porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 || || garischisma || 33554432 / 33480783 || | 25 -14 0 -1 > || 3.804 || || wadisma || 201768035 / 201326592 || | -26 -1 1 9 > || 3.792 || || quasiorwellisma || 29360128 / 29296875 || | 22 -1 -10 1 > || 3.734 || || horwell || 65625 / 65536 || | -16 1 5 1 > || 2.349 || || meter || 703125 / 702464 || | -11 2 7 -3 > || 1.628 || || wizma || 420175 / 419904 || | -6 -8 2 5 > || 1.117 || || breedsma || [[2401_2400|2401 / 2400]] || | -5 -1 -2 4 > || 0.721 || || ragisma || 4375 / 4374 || | -1 -7 4 1 > || 0.396 || || akjaysma, 5\7 octave comma || 140737488355328 / 140710042265625 || | 47 -7 -7 -7 > || 0.338 || || landscape comma || 250047 / 250000 || | -4 6 -6 3 > || 0.325 || || euzenius || 78125000/78121827 || | 3 -13 10 -2 > || 0.070 || || termite || 37252902984619140625000000000 / 37252879910233655318543787489 || |9 -28 37 -18> || 0.001072 || || neutrino || || |1889 -2145 138 424> || 1.636 * 10^-10 || ==11-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 || || the Igs boson || 35184372088832 / 34522712143931 || | 45 0 0 0 -13 > || 32.867 || || thuja comma || 163840 / 161051 || | 15 0 1 0 -5 > || 29.724 || || sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 || || sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 || || cassacot || 245 / 242 || | -1 0 1 2 -2 > || 21.330 || || [[mothwellsmic triad|mothwellsma]] || 99 / 98 || | -1 2 0 -2 1 > || 17.576 || || [[ptolemismic triad|ptolemisma]] || [[100_99|100 / 99]] || | 2 -2 2 0 -1 > || 17.399 || || hemimin || 1344 / 1331 || | 6 1 0 1 -3 > || 16.827 || || biyatisma || 121 / 120 || | -3 -1 -1 0 2 > || 14.367 || || aphrowe || 1331 / 1323 || | 0 -3 0 -2 3 > || 10.437 || || [[valinorsmic chords|valinorsma]] || 176 / 175 || | 4 0 -2 -1 1 > || 9.865 || || [[pentacircle comma|pentacircle]] || 896 / 891 || | 7 -4 0 1 -1 > || 9.688 || || orgonisma || 65536 / 65219 || | 16 0 0 -2 -3 > || 8.394 || || [[rastmic chords|rastma]] || 243 / 242 || | -1 5 0 0 -2 > || 7.139 || || myhemiwell || 3388 / 3375 || | 2 -3 -3 1 2 > || 6.656 || || [[keenanismic chords|keenanisma]] || [[385_384|385 / 384]] || | -7 -1 1 1 1 > || 4.503 || || [[werckismic chords|werckisma]] || 441 / 440 || | -3 2 -1 2 -1 > || 3.930 || || moctdel || 1375 / 1372 || | -2 0 3 -3 1 > || 3.781 || || [[swetismic chords|swetisma]] || 540 / 539 || | 2 3 1 -2 -1 > || 3.209 || || wizardharry || 4000 / 3993 || | 5 -1 3 0 -3 > || 3.032 || || vishdel || 5632 / 5625 || | 9 -2 -4 0 1 > || 2.153 || || sesdecal || 234375 / 234256 || | -4 1 7 0 -4 > || 0.879 || || hemigail || 43923 / 43904 || | -7 1 0 -3 4 > || 0.749 || || lehmerisma || 3025 / 3024 || | -4 -3 2 -1 2 > || 0.572 || || kalisma, Gauss' comma || 9801 / 9800 || | -3 4 -2 -2 2 > || 0.177 || || odiheim || 151263 / 151250 || | -1 2 -4 5 -2 > || 0.149 || || parimo || 1771561 / 1771470 || | -1 -11 -1 0 6 > || 0.089 || || ultimo || 3294225 / 3294172 || | -2 2 2 -7 4 > || 0.028 || ==13-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || astbury || 4826809 / 4718592 || | -19 -2 0 0 0 6 > || 39.255 || || telepathma || 55 / 54 || |-1 -3 1 0 1> || 31.767 || || 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 || || gassorma || 275 / 273 || | 0 -1 2 -1 1 -1 > || 12.637 || || [[grossma]] || 144 / 143 || | 4 2 0 0 -1 -1 > || 12.064 || || buzurgisma, dhanvantarisma || 169 / 168 || | -3 -1 0 -1 0 2 > || 10.274 || || catadictma || 1287 / 1280 || | -8 2 -1 0 1 1 > || 9.442 || || [[mynucumic chords|mynucuma]] || 196 / 195 || | 2 -1 -1 2 0 -1 > || 8.855 || || [[huntmic chords|huntma]] || 640 / 637 || | 7 0 1 -2 0 -1 > || 8.134 || || [[threedie]] || 2197 / 2187 || | 0 -7 0 0 0 3 > || 7.897 || || [[kestrel chords|kestrel comma]] || 1188 / 1183 || | 2 3 0 -1 1 -2 > || 7.302 || || [[marveltwin]] || 325 / 324 || | -2 -4 2 0 0 1 > || 5.335 || || [[ratwolf triad|ratwolfsma]] || 351 / 350 || | -1 3 -2 -1 0 1 > || 4.939 || || [[minthmic chords|minthma]] || 352 / 351 || | 5 -3 0 0 1 -1 > || 4.925 || || [[gentle chords|gentle comma]] || 364 / 363 || | 2 -1 0 1 -2 1 > || 4.763 || || [[cuthbert triad|cuthbert]] || 847 / 845 || | 0 0 -1 1 2 -2 > || 4.093 || || tunbarsma || 625 / 624 || | -4 -1 4 0 0 -1 > || 2.772 || || [[The Archipelago|island comma]] || 676 / 675 || | 2 -3 -2 0 0 2 > || 2.563 || || [[squbemic chords|squbema]] || 729 / 728 || | -3 6 0 -1 0 -1 > || 2.376 || || [[petrmic triad|petrma]] || 2200 / 2197 || | 3 0 2 0 1 -3 > || 2.362 || || [[nicolic tetrad|nicola]] || 1575 / 1573 || | 0 2 2 1 -2 -1 > || 2.200 || || [[sinbadmic tetrad|sinbadma]] || 1001 / 1000 || | -3 0 -3 1 1 1 > || 1.730 || || cantonisma || 10985 / 10976 || | -5 0 1 -3 0 3 > || 1.419 || || lummic || 1716 / 1715 || | 2 1 -1 -3 1 1 > || 1.009 || || ibnsinma || 2080 / 2079 || | 5 -3 1 -1 -1 1 > || 0.833 || || schismina || 4096 / 4095 || | 12 -2 -1 -1 0 -1 > || 0.423 || || leprechaun comma || 4225 / 4224 || | -7 -1 2 0 -1 2 > || 0.410 || || jacobin || 6656 / 6655 || | 9 0 -1 0 -3 1 > || 0.260 || || harmonisma || 10648 / 10647 || | 3 -2 0 -1 3 -2 > || 0.163 || || chalmersima || 123201 / 123200 || | -6 6 -2 -1 -1 2 > || 0.014 || ==17-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || xenisma || 2058 / 2057 || | 1 1 0 3 -2 0 -1 > || 0.841 || || || 12376 / 12375 || |3 -2 -3 1 -1 1 1> || 0.140 || || || 14400 / 14399 || |6 2 2 -1 -2 0 -1> || 0.120 || || scintillisma || 194481 / 194480 || | -4 4 -1 4 -1 -1 -1 > || 0.009 || ==19-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || spleen comma || 210 / 209 || | 1 1 1 1 -1 0 0 -1 > || 8.264 || || go comma || 361 / 360 || | -6 -1 0 0 0 0 0 2 > || 4.802 || || || 165376 / 165375 || |9 -3 -3 -2 0 0 1 1> || 0.010 || [[media type="custom" key="25699772"]]
Original HTML content:
<html><head><title>Comma</title></head><body><!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Definition"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definition</h1>
<br />
A <strong>comma</strong> is a small interval that occurs in <a class="wiki_link" href="/just%20intonation">just intonation</a>, between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, generally in a <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em><a class="wiki_link" href="/tempering%20out">tempered out</a></em>, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by <a class="wiki_link" href="/Meantone">meantone temperament</a>. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in <a class="wiki_link" href="/cent">cent</a>s.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:3 -->List of commas, by prime limit</h1>
<br />
<!-- ws:start:WikiTextHeadingRule:5:<h2> --><h2 id="toc2"><a name="List of commas, by prime limit-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->3-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>limma, Pythagorean minor second<br />
</td>
<td><a class="wiki_link" href="/256_243">256 / 243</a><br />
</td>
<td>| 8 -5 ><br />
</td>
<td>90.225<br />
</td>
</tr>
<tr>
<td>apotome<br />
</td>
<td><a class="wiki_link" href="/2187_2048">2187 / 2048</a><br />
</td>
<td>| -11 7 ><br />
</td>
<td>113.685<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br />
</td>
<td>531441 / 524288<br />
</td>
<td>| -19 12 ><br />
</td>
<td>23.460<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17-comma">17-comma</a><br />
</td>
<td>134217728 / 129140163<br />
</td>
<td>| 27 -17 ><br />
</td>
<td>66.765<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/29-comma">29-comma</a><br />
</td>
<td>70368744177664 / 68630377364883<br />
</td>
<td>| 46 -29 ><br />
</td>
<td>43.305<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/41-comma">41-comma</a><br />
</td>
<td>36893488147419103232 / 36472996377170786403<br />
</td>
<td>| 65 -41 ><br />
</td>
<td>19.845<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br />
</td>
<td>19383245667680019896796723 / 19342813113834066795298816<br />
</td>
<td>| -84 53 ><br />
</td>
<td>3.615<br />
</td>
</tr>
<tr>
<td>Sasktel comma<br />
</td>
<td><br />
</td>
<td>| 485 -306 ><br />
</td>
<td>1.770<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/Satanic%20comma">Satanic comma</a><br />
</td>
<td><br />
</td>
<td>| -1054 665 ><br />
</td>
<td>0.076<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:7:<h2> --><h2 id="toc3"><a name="List of commas, by prime limit-5-limit commas"></a><!-- ws:end:WikiTextHeadingRule:7 -->5-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>enipucrop<br />
</td>
<td>1125 / 1024<br />
</td>
<td>| -10 2 3 ><br />
</td>
<td>162.851<br />
</td>
</tr>
<tr>
<td>supersharp<br />
</td>
<td>800 / 729<br />
</td>
<td>| 5 -6 2 ><br />
</td>
<td>160.897<br />
</td>
</tr>
<tr>
<td>gorgo<br />
</td>
<td>2187 / 2000<br />
</td>
<td>| -4 7 -3 ><br />
</td>
<td>154.744<br />
</td>
</tr>
<tr>
<td>large limma<br />
</td>
<td><a class="wiki_link" href="/27_25">27 / 25</a><br />
</td>
<td>|0 3 -1><br />
</td>
<td>133.238<br />
</td>
</tr>
<tr>
<td>lemba<br />
</td>
<td>140625 / 131072<br />
</td>
<td>| -17 2 6 ><br />
</td>
<td>121.792<br />
</td>
</tr>
<tr>
<td>sixix<br />
</td>
<td>3125 / 2916<br />
</td>
<td>| -2 -6 5 ><br />
</td>
<td>119.839<br />
</td>
</tr>
<tr>
<td>diesma<br />
</td>
<td>10460353203 / 9765625000<br />
</td>
<td>| -3 21 -13 ><br />
</td>
<td>118.977<br />
</td>
</tr>
<tr>
<td>comic<br />
</td>
<td>5120000 / 4782969<br />
</td>
<td>| 13 -14 4 ><br />
</td>
<td>117.885<br />
</td>
</tr>
<tr>
<td>just diatonic semitone<br />
</td>
<td><a class="wiki_link" href="/16_15">16 / 15</a><br />
</td>
<td>|4 -1 -1><br />
</td>
<td>111.731<br />
</td>
</tr>
<tr>
<td>beatles<br />
</td>
<td>524288 / 492075<br />
</td>
<td>| 19 -9 -2 ><br />
</td>
<td>109.778<br />
</td>
</tr>
<tr>
<td>wronecki<br />
</td>
<td>531441 / 500000<br />
</td>
<td>| -5 12 -6 ><br />
</td>
<td>105.578<br />
</td>
</tr>
<tr>
<td>wesley<br />
</td>
<td>78125 / 73728<br />
</td>
<td>| -13 -2 7 ><br />
</td>
<td>100.286<br />
</td>
</tr>
<tr>
<td>major chroma, major limma, pelogic comma<br />
</td>
<td><a class="wiki_link" href="/135_128">135 / 128</a><br />
</td>
<td>| -7 3 1 ><br />
</td>
<td>92.179<br />
</td>
</tr>
<tr>
<td>ripple<br />
</td>
<td>6561 / 6250<br />
</td>
<td>| -1 8 -5 ><br />
</td>
<td>84.071<br />
</td>
</tr>
<tr>
<td>doublewide<br />
</td>
<td>390625 / 373248<br />
</td>
<td>| -9 -6 8 ><br />
</td>
<td>78.780<br />
</td>
</tr>
<tr>
<td>sevond<br />
</td>
<td>5000000 / 4782969<br />
</td>
<td>| 6 -14 7 ><br />
</td>
<td>76.826<br />
</td>
</tr>
<tr>
<td>nusecond<br />
</td>
<td>51018336 / 48828125<br />
</td>
<td>| 5 13 -11 ><br />
</td>
<td>75.964<br />
</td>
</tr>
<tr>
<td>sentinel<br />
</td>
<td>8968066875 / 8589934592<br />
</td>
<td>| -33 15 4 ><br />
</td>
<td>74.580<br />
</td>
</tr>
<tr>
<td>chromatic semitone<br />
</td>
<td><a class="wiki_link" href="/25_24">25 / 24</a><br />
</td>
<td>| -3 -1 2 ><br />
</td>
<td>70.672<br />
</td>
</tr>
<tr>
<td>superpyth, grave minor second<br />
</td>
<td>20480 / 19683<br />
</td>
<td>| 12 -9 1 ><br />
</td>
<td>68.719<br />
</td>
</tr>
<tr>
<td>major diesis, diminished comma<br />
</td>
<td><a class="wiki_link" href="/648_625">648 / 625</a><br />
</td>
<td>| 3 4 -4 ><br />
</td>
<td>62.565<br />
</td>
</tr>
<tr>
<td>passion<br />
</td>
<td>262144 / 253125<br />
</td>
<td>| 18 -4 -5 ><br />
</td>
<td>60.611<br />
</td>
</tr>
<tr>
<td>shibboleth<br />
</td>
<td>1953125 / 1889568<br />
</td>
<td>| -5 -10 9 ><br />
</td>
<td>57.273<br />
</td>
</tr>
<tr>
<td>mynic<br />
</td>
<td>10077696 / 9765625<br />
</td>
<td>| 9 9 -10 ><br />
</td>
<td>54.458<br />
</td>
</tr>
<tr>
<td>tritonic<br />
</td>
<td>553584375 / 536870912<br />
</td>
<td>| -29 11 5 ><br />
</td>
<td>53.074<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/negri%20comma">negri comma</a>, double augmentation diesis<br />
</td>
<td>16875 / 16384<br />
</td>
<td>| -14 3 4 ><br />
</td>
<td>51.120<br />
</td>
</tr>
<tr>
<td>maximal diesis, porcupine comma<br />
</td>
<td><a class="wiki_link" href="/250_243">250 / 243</a><br />
</td>
<td>| 1 -5 3 ><br />
</td>
<td>49.166<br />
</td>
</tr>
<tr>
<td>immunity<br />
</td>
<td>1638400 / 1594323<br />
</td>
<td>| 16 -13 2 ><br />
</td>
<td>47.212<br />
</td>
</tr>
<tr>
<td>diesis, augmented comma<br />
</td>
<td><a class="wiki_link" href="/128_125">128 / 125</a><br />
</td>
<td>| 7 0 -3 ><br />
</td>
<td>41.059<br />
</td>
</tr>
<tr>
<td>wizard<br />
</td>
<td>2197265625 / 2147483648<br />
</td>
<td>| -31 2 12 ><br />
</td>
<td>39.675<br />
</td>
</tr>
<tr>
<td>sycamore<br />
</td>
<td>48828125 / 47775744<br />
</td>
<td>| -16 -6 11 ><br />
</td>
<td>37.721<br />
</td>
</tr>
<tr>
<td>fifive<br />
</td>
<td>9765625 / 9565938<br />
</td>
<td>| -1 -14 10 ><br />
</td>
<td>35.767<br />
</td>
</tr>
<tr>
<td>unicorn<br />
</td>
<td>1594323 / 1562500<br />
</td>
<td>| -2 13 -8 ><br />
</td>
<td>34.905<br />
</td>
</tr>
<tr>
<td>valensixthtone<br />
</td>
<td>1990656 / 1953125<br />
</td>
<td>| 13 5 -9 ><br />
</td>
<td>32.952<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma<br />
</td>
<td>34171875 / 33554432<br />
</td>
<td>| -25 7 6 ><br />
</td>
<td>31.567<br />
</td>
</tr>
<tr>
<td>small diesis, <a class="wiki_link" href="/magic%20comma">magic comma</a><br />
</td>
<td>3125 / 3072<br />
</td>
<td>| -10 -1 5 ><br />
</td>
<td>29.614<br />
</td>
</tr>
<tr>
<td>minimal diesis, <a class="wiki_link" href="/tetracot%20comma">tetracot comma</a><br />
</td>
<td>20000 / 19683<br />
</td>
<td>| 5 -9 4 ><br />
</td>
<td>27.660<br />
</td>
</tr>
<tr>
<td>roda<br />
</td>
<td>131072000 / 129140163<br />
</td>
<td>| 20 -17 3 ><br />
</td>
<td>25.706<br />
</td>
</tr>
<tr>
<td>maja<br />
</td>
<td>762939453125 / 753145430616<br />
</td>
<td>| -3 -23 17 ><br />
</td>
<td>22.368<br />
</td>
</tr>
<tr>
<td>syntonic comma, Didymos comma, meantone comma<br />
</td>
<td><a class="wiki_link" href="/81_80">81 / 80</a><br />
</td>
<td>| -4 4 -1 ><br />
</td>
<td>21.506<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/diaschisma">diaschisma</a><br />
</td>
<td>2048 / 2025<br />
</td>
<td>| 11 -4 -2 ><br />
</td>
<td>19.553<br />
</td>
</tr>
<tr>
<td>ditonma<br />
</td>
<td>1220703125 / 1207959552<br />
</td>
<td>| -27 -2 13 ><br />
</td>
<td>18.168<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/misty%20comma">misty comma</a><br />
</td>
<td>67108864 / 66430125<br />
</td>
<td>| 26 -12 -3 ><br />
</td>
<td>17.599<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/graviton">graviton</a>, <a class="wiki_link" href="/Gravity%20family">gravity</a> comma<br />
</td>
<td>129140163 / 128000000<br />
</td>
<td>| -13 17 -6 ><br />
</td>
<td>15.353<br />
</td>
</tr>
<tr>
<td>quartonic<br />
</td>
<td>390625000 / 387420489<br />
</td>
<td>| 3 -18 11 ><br />
</td>
<td>14.261<br />
</td>
</tr>
<tr>
<td>medium semicomma, <a class="wiki_link" href="/sensipent%20comma">sensipent comma</a><br />
</td>
<td>78732 / 78125<br />
</td>
<td>| 2 9 -7 ><br />
</td>
<td>13.399<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/W%C3%BCrschmidt%20comma">Würschmidt comma</a><br />
</td>
<td>393216 / 390625<br />
</td>
<td>| 17 1 -8 ><br />
</td>
<td>11.445<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma<br />
</td>
<td>2109375 / 2097152<br />
</td>
<td>| -21 3 7 ><br />
</td>
<td>10.061<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/escapade%20comma">escapade comma</a><br />
</td>
<td><br />
</td>
<td>| 32 -7 -9 ><br />
</td>
<td>9.492<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/kleisma">kleisma</a>, semicomma majeur<br />
</td>
<td>15625 / 15552<br />
</td>
<td>| -6 -5 6 ><br />
</td>
<td>8.107<br />
</td>
</tr>
<tr>
<td>unidecma<br />
</td>
<td>31381059609 / 31250000000<br />
</td>
<td>| -7 22 -12 ><br />
</td>
<td>7.245<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/mutt%20comma">mutt comma</a><br />
</td>
<td><br />
</td>
<td>| -44 -3 21 ><br />
</td>
<td>6.723<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/amity%20comma">amity comma</a><br />
</td>
<td>1600000 / 1594323<br />
</td>
<td>| 9 -13 5 ><br />
</td>
<td>6.154<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/parakleisma">parakleisma</a><br />
</td>
<td><br />
</td>
<td>| 8 14 -13 ><br />
</td>
<td>5.292<br />
</td>
</tr>
<tr>
<td>gammic comma<br />
</td>
<td><br />
</td>
<td>| -29 -11 20 ><br />
</td>
<td>4.769<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/vulture%20comma">vulture comma</a><br />
</td>
<td><br />
</td>
<td>| 24 -21 4 ><br />
</td>
<td>4.200<br />
</td>
</tr>
<tr>
<td>rubidia<br />
</td>
<td><br />
</td>
<td>|-67 -9 35><br />
</td>
<td>3.385<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/vishnuzma">vishnuzma</a>, semisuper<br />
</td>
<td>6115295232 / 6103515625<br />
</td>
<td>| 23 6 -14 ><br />
</td>
<td>3.338<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/enneadeca">enneadeca</a>, 19-tone-comma<br />
</td>
<td><br />
</td>
<td>| -14 -19 19 ><br />
</td>
<td>2.816<br />
</td>
</tr>
<tr>
<td>vavoom<br />
</td>
<td><br />
</td>
<td>| -68 18 17 ><br />
</td>
<td>2.523<br />
</td>
</tr>
<tr>
<td>tricot comma<br />
</td>
<td><br />
</td>
<td>| 39 -29 3 ><br />
</td>
<td>2.246<br />
</td>
</tr>
<tr>
<td>schisma<br />
</td>
<td><a class="wiki_link" href="/32805_32768">32805 / 32768</a><br />
</td>
<td>| -15 8 1 ><br />
</td>
<td>1.954<br />
</td>
</tr>
<tr>
<td>counterschisma<br />
</td>
<td><br />
</td>
<td>| -69 45 -1 ><br />
</td>
<td>1.661<br />
</td>
</tr>
<tr>
<td>septendecima<br />
</td>
<td><br />
</td>
<td>| -52 -17 34 ><br />
</td>
<td>1.431<br />
</td>
</tr>
<tr>
<td>hemithirds comma, lunama<br />
</td>
<td>274877906944 / 274658203125<br />
</td>
<td>| 38 -2 -15 ><br />
</td>
<td>1.384<br />
</td>
</tr>
<tr>
<td>minortone comma<br />
</td>
<td><br />
</td>
<td>| -16 35 -17 ><br />
</td>
<td>1.092<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/Ennealimmal">ennealimma</a><br />
</td>
<td>7629394531250 / 7625597484987<br />
</td>
<td>| 1 -27 18 ><br />
</td>
<td>0.862<br />
</td>
</tr>
<tr>
<td>astro<br />
</td>
<td><br />
</td>
<td>| 91 -12 -31 ><br />
</td>
<td>0.815<br />
</td>
</tr>
<tr>
<td>kwazy<br />
</td>
<td><br />
</td>
<td>| -53 10 16 ><br />
</td>
<td>0.569<br />
</td>
</tr>
<tr>
<td>whoosh<br />
</td>
<td><br />
</td>
<td>| 37 25 -33 ><br />
</td>
<td>0.522<br />
</td>
</tr>
<tr>
<td>egads<br />
</td>
<td><br />
</td>
<td>| -36 -52 51 ><br />
</td>
<td>0.339<br />
</td>
</tr>
<tr>
<td>monzisma<br />
</td>
<td><br />
</td>
<td>| 54 -37 2 ><br />
</td>
<td>0.292<br />
</td>
</tr>
<tr>
<td>fortune<br />
</td>
<td><br />
</td>
<td>| -107 47 14 ><br />
</td>
<td>0.277<br />
</td>
</tr>
<tr>
<td>gross<br />
</td>
<td><br />
</td>
<td>| 144 -22 -47 ><br />
</td>
<td>0.245<br />
</td>
</tr>
<tr>
<td>senior<br />
</td>
<td><br />
</td>
<td>| -17 62 -35 ><br />
</td>
<td>0.230<br />
</td>
</tr>
<tr>
<td>raider<br />
</td>
<td><br />
</td>
<td>| 71 -99 37 ><br />
</td>
<td>0.062<br />
</td>
</tr>
<tr>
<td>pirate<br />
</td>
<td><br />
</td>
<td>| -90 -15 49 ><br />
</td>
<td>0.047<br />
</td>
</tr>
<tr>
<td>viking<br />
</td>
<td><br />
</td>
<td>|-251 69 61><br />
</td>
<td>0.032<br />
</td>
</tr>
<tr>
<td>atom<br />
</td>
<td><br />
</td>
<td>| 161 -84 -12 ><br />
</td>
<td>0.015<br />
</td>
</tr>
<tr>
<td>selenia<br />
</td>
<td><br />
</td>
<td>|-433 -137 280><br />
</td>
<td>0.004764<br />
</td>
</tr>
<tr>
<td>titania<br />
</td>
<td><br />
</td>
<td>|2746 -521 -827><br />
</td>
<td>0.003183<br />
</td>
</tr>
<tr>
<td>quark<br />
</td>
<td><br />
</td>
<td>|-537 237 85><br />
</td>
<td>0.000884<br />
</td>
</tr>
<tr>
<td>rover<br />
</td>
<td><br />
</td>
<td>|1634 1502 -1729><br />
</td>
<td>0.000028<br />
</td>
</tr>
<tr>
<td>rascal<br />
</td>
<td><br />
</td>
<td>|-7470 2791 1312><br />
</td>
<td>0.000006<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:9:<h2> --><h2 id="toc4"><a name="List of commas, by prime limit-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:9 -->7-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>greenwoodma<br />
</td>
<td>405 / 392<br />
</td>
<td>| -3 4 1 -2 ><br />
</td>
<td>56.482<br />
</td>
</tr>
<tr>
<td>Harrison's comma<br />
</td>
<td>59049 / 57344<br />
</td>
<td>| -13 10 0 -1 ><br />
</td>
<td>50.724<br />
</td>
</tr>
<tr>
<td>keega<br />
</td>
<td>1029 / 1000<br />
</td>
<td>| -3 1 -3 3 ><br />
</td>
<td>49.492<br />
</td>
</tr>
<tr>
<td>septimal quarter tone<br />
</td>
<td><a class="wiki_link" href="/36_35">36 / 35</a><br />
</td>
<td>| 2 2 -1 -1 ><br />
</td>
<td>48.770<br />
</td>
</tr>
<tr>
<td>cloudy<br />
</td>
<td>16807 / 16384<br />
</td>
<td>| -14 0 0 5 ><br />
</td>
<td>44.130<br />
</td>
</tr>
<tr>
<td>avicennma, Avicenna's enharmonic diesis<br />
</td>
<td>525 / 512<br />
</td>
<td>| -9 1 2 1 ><br />
</td>
<td>43.408<br />
</td>
</tr>
<tr>
<td>slendro diesis<br />
</td>
<td><a class="wiki_link" href="/49_48">49 / 48</a><br />
</td>
<td>| -4 -1 0 2 ><br />
</td>
<td>35.597<br />
</td>
</tr>
<tr>
<td>tritonic diesis, jubilisma<br />
</td>
<td><a class="wiki_link" href="/50_49">50 / 49</a><br />
</td>
<td>| 1 0 2 -2 ><br />
</td>
<td>34.976<br />
</td>
</tr>
<tr>
<td>eric<br />
</td>
<td>839808 / 823543<br />
</td>
<td>| 7 8 0 -7 ><br />
</td>
<td>33.859<br />
</td>
</tr>
<tr>
<td>senga<br />
</td>
<td>686 / 675<br />
</td>
<td>| 1 -3 -2 3 ><br />
</td>
<td>27.985<br />
</td>
</tr>
<tr>
<td>septimal comma, Archytas' comma, Leipziger Komma<br />
</td>
<td><a class="wiki_link" href="/64_63">64 / 63</a><br />
</td>
<td>| 6 -2 0 -1 ><br />
</td>
<td>27.264<br />
</td>
</tr>
<tr>
<td>blackjackisma<br />
</td>
<td>854296875 / 843308032<br />
</td>
<td>| -10 7 8 -7 ><br />
</td>
<td>22.413<br />
</td>
</tr>
<tr>
<td>squalentine<br />
</td>
<td>64827 / 64000<br />
</td>
<td>| -9 3 -3 4 ><br />
</td>
<td>22.227<br />
</td>
</tr>
<tr>
<td>keema<br />
</td>
<td>875 / 864<br />
</td>
<td>| -5 -3 3 1 ><br />
</td>
<td>21.902<br />
</td>
</tr>
<tr>
<td>gariboh<br />
</td>
<td>3125 / 3087<br />
</td>
<td>| 0 -2 5 -3 ><br />
</td>
<td>21.181<br />
</td>
</tr>
<tr>
<td>nuwell<br />
</td>
<td>2430 / 2401<br />
</td>
<td>| 1 5 1 -4 ><br />
</td>
<td>20.785<br />
</td>
</tr>
<tr>
<td>tolerma<br />
</td>
<td>179200 / 177147<br />
</td>
<td>| 10 -11 2 1 ><br />
</td>
<td>19.948<br />
</td>
</tr>
<tr>
<td>mirwomo<br />
</td>
<td>33075 / 32768<br />
</td>
<td>| -15 3 2 2 ><br />
</td>
<td>16.144<br />
</td>
</tr>
<tr>
<td>trimyna<br />
</td>
<td>50421 / 50000<br />
</td>
<td>| -4 1 -5 5 ><br />
</td>
<td>14.516<br />
</td>
</tr>
<tr>
<td>sensamagic<br />
</td>
<td>245 / 243<br />
</td>
<td>| 0 -5 1 2 ><br />
</td>
<td>14.191<br />
</td>
</tr>
<tr>
<td>septimal semicomma, starling comma<br />
</td>
<td><a class="wiki_link" href="/126_125">126 / 125</a><br />
</td>
<td>| 1 2 -3 1 ><br />
</td>
<td>13.795<br />
</td>
</tr>
<tr>
<td>octagar<br />
</td>
<td>4000 / 3969<br />
</td>
<td>| 5 -4 3 -2 ><br />
</td>
<td>13.469<br />
</td>
</tr>
<tr>
<td>orwellisma, orwell comma<br />
</td>
<td>1728 / 1715<br />
</td>
<td>| 6 3 -1 -3 ><br />
</td>
<td>13.074<br />
</td>
</tr>
<tr>
<td>quince<br />
</td>
<td>823543 / 819200<br />
</td>
<td>| -15 0 -2 7 ><br />
</td>
<td>9.154<br />
</td>
</tr>
<tr>
<td>gamelisma<br />
</td>
<td>1029 / 1024<br />
</td>
<td>| -10 1 0 3 ><br />
</td>
<td>8.433<br />
</td>
</tr>
<tr>
<td>varunisma<br />
</td>
<td>321489 / 320000<br />
</td>
<td>| -9 8 -4 2 ><br />
</td>
<td>8.037<br />
</td>
</tr>
<tr>
<td>septimal kleisma, marvel comma<br />
</td>
<td><a class="wiki_link" href="/225_224">225 / 224</a><br />
</td>
<td>| -5 2 2 -1 ><br />
</td>
<td>7.712<br />
</td>
</tr>
<tr>
<td>dimcomp<br />
</td>
<td>390625 / 388962<br />
</td>
<td>| -1 -4 8 -4 ><br />
</td>
<td>7.386<br />
</td>
</tr>
<tr>
<td>cataharry<br />
</td>
<td>19683 / 19600<br />
</td>
<td>| -4 9 -2 -2 ><br />
</td>
<td>7.316<br />
</td>
</tr>
<tr>
<td>mirkwai<br />
</td>
<td>16875 / 16807<br />
</td>
<td>| 0 3 4 -5 ><br />
</td>
<td>6.990<br />
</td>
</tr>
<tr>
<td>stearnsma<br />
</td>
<td>118098 / 117649<br />
</td>
<td>| 1 10 0 -6 ><br />
</td>
<td>6.595<br />
</td>
</tr>
<tr>
<td>hemimage<br />
</td>
<td>10976 / 10935<br />
</td>
<td>| 5 -7 -1 3 ><br />
</td>
<td>6.479<br />
</td>
</tr>
<tr>
<td>hemimean<br />
</td>
<td>3136 / 3125<br />
</td>
<td>| 6 0 -5 2 ><br />
</td>
<td>6.083<br />
</td>
</tr>
<tr>
<td>hemifamity<br />
</td>
<td>5120 / 5103<br />
</td>
<td>| 10 -6 1 -1 ><br />
</td>
<td>5.758<br />
</td>
</tr>
<tr>
<td>linus<br />
</td>
<td>578509309952 / 576650390625<br />
</td>
<td>| 11 -10 -10 10 ><br />
</td>
<td>5.572<br />
</td>
</tr>
<tr>
<td>porwell<br />
</td>
<td>6144 / 6125<br />
</td>
<td>| 11 1 -3 -2 ><br />
</td>
<td>5.362<br />
</td>
</tr>
<tr>
<td>garischisma<br />
</td>
<td>33554432 / 33480783<br />
</td>
<td>| 25 -14 0 -1 ><br />
</td>
<td>3.804<br />
</td>
</tr>
<tr>
<td>wadisma<br />
</td>
<td>201768035 / 201326592<br />
</td>
<td>| -26 -1 1 9 ><br />
</td>
<td>3.792<br />
</td>
</tr>
<tr>
<td>quasiorwellisma<br />
</td>
<td>29360128 / 29296875<br />
</td>
<td>| 22 -1 -10 1 ><br />
</td>
<td>3.734<br />
</td>
</tr>
<tr>
<td>horwell<br />
</td>
<td>65625 / 65536<br />
</td>
<td>| -16 1 5 1 ><br />
</td>
<td>2.349<br />
</td>
</tr>
<tr>
<td>meter<br />
</td>
<td>703125 / 702464<br />
</td>
<td>| -11 2 7 -3 ><br />
</td>
<td>1.628<br />
</td>
</tr>
<tr>
<td>wizma<br />
</td>
<td>420175 / 419904<br />
</td>
<td>| -6 -8 2 5 ><br />
</td>
<td>1.117<br />
</td>
</tr>
<tr>
<td>breedsma<br />
</td>
<td><a class="wiki_link" href="/2401_2400">2401 / 2400</a><br />
</td>
<td>| -5 -1 -2 4 ><br />
</td>
<td>0.721<br />
</td>
</tr>
<tr>
<td>ragisma<br />
</td>
<td>4375 / 4374<br />
</td>
<td>| -1 -7 4 1 ><br />
</td>
<td>0.396<br />
</td>
</tr>
<tr>
<td>akjaysma, 5\7 octave comma<br />
</td>
<td>140737488355328 / 140710042265625<br />
</td>
<td>| 47 -7 -7 -7 ><br />
</td>
<td>0.338<br />
</td>
</tr>
<tr>
<td>landscape comma<br />
</td>
<td>250047 / 250000<br />
</td>
<td>| -4 6 -6 3 ><br />
</td>
<td>0.325<br />
</td>
</tr>
<tr>
<td>euzenius<br />
</td>
<td>78125000/78121827<br />
</td>
<td>| 3 -13 10 -2 ><br />
</td>
<td>0.070<br />
</td>
</tr>
<tr>
<td>termite<br />
</td>
<td>37252902984619140625000000000 / 37252879910233655318543787489<br />
</td>
<td>|9 -28 37 -18><br />
</td>
<td>0.001072<br />
</td>
</tr>
<tr>
<td>neutrino<br />
</td>
<td><br />
</td>
<td>|1889 -2145 138 424><br />
</td>
<td>1.636 * 10^-10<br />
</td>
</tr>
</table>
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:<h2> --><h2 id="toc5"><a name="List of commas, by prime limit-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->11-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>sterno<br />
</td>
<td>352 / 343<br />
</td>
<td>| 5 0 0 -3 1 ><br />
</td>
<td>44.840<br />
</td>
</tr>
<tr>
<td>the Igs boson<br />
</td>
<td>35184372088832 / 34522712143931<br />
</td>
<td>| 45 0 0 0 -13 ><br />
</td>
<td>32.867<br />
</td>
</tr>
<tr>
<td>thuja comma<br />
</td>
<td>163840 / 161051<br />
</td>
<td>| 15 0 1 0 -5 ><br />
</td>
<td>29.724<br />
</td>
</tr>
<tr>
<td>sensmus<br />
</td>
<td>1232 / 1215<br />
</td>
<td>| 4 -5 -1 1 1 ><br />
</td>
<td>24.055<br />
</td>
</tr>
<tr>
<td>sevnothrush<br />
</td>
<td>3168 / 3125<br />
</td>
<td>| 5 2 -5 0 1 ><br />
</td>
<td>23.659<br />
</td>
</tr>
<tr>
<td>cassacot<br />
</td>
<td>245 / 242<br />
</td>
<td>| -1 0 1 2 -2 ><br />
</td>
<td>21.330<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a><br />
</td>
<td>99 / 98<br />
</td>
<td>| -1 2 0 -2 1 ><br />
</td>
<td>17.576<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a><br />
</td>
<td><a class="wiki_link" href="/100_99">100 / 99</a><br />
</td>
<td>| 2 -2 2 0 -1 ><br />
</td>
<td>17.399<br />
</td>
</tr>
<tr>
<td>hemimin<br />
</td>
<td>1344 / 1331<br />
</td>
<td>| 6 1 0 1 -3 ><br />
</td>
<td>16.827<br />
</td>
</tr>
<tr>
<td>biyatisma<br />
</td>
<td>121 / 120<br />
</td>
<td>| -3 -1 -1 0 2 ><br />
</td>
<td>14.367<br />
</td>
</tr>
<tr>
<td>aphrowe<br />
</td>
<td>1331 / 1323<br />
</td>
<td>| 0 -3 0 -2 3 ><br />
</td>
<td>10.437<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a><br />
</td>
<td>176 / 175<br />
</td>
<td>| 4 0 -2 -1 1 ><br />
</td>
<td>9.865<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/pentacircle%20comma">pentacircle</a><br />
</td>
<td>896 / 891<br />
</td>
<td>| 7 -4 0 1 -1 ><br />
</td>
<td>9.688<br />
</td>
</tr>
<tr>
<td>orgonisma<br />
</td>
<td>65536 / 65219<br />
</td>
<td>| 16 0 0 -2 -3 ><br />
</td>
<td>8.394<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/rastmic%20chords">rastma</a><br />
</td>
<td>243 / 242<br />
</td>
<td>| -1 5 0 0 -2 ><br />
</td>
<td>7.139<br />
</td>
</tr>
<tr>
<td>myhemiwell<br />
</td>
<td>3388 / 3375<br />
</td>
<td>| 2 -3 -3 1 2 ><br />
</td>
<td>6.656<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/keenanismic%20chords">keenanisma</a><br />
</td>
<td><a class="wiki_link" href="/385_384">385 / 384</a><br />
</td>
<td>| -7 -1 1 1 1 ><br />
</td>
<td>4.503<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/werckismic%20chords">werckisma</a><br />
</td>
<td>441 / 440<br />
</td>
<td>| -3 2 -1 2 -1 ><br />
</td>
<td>3.930<br />
</td>
</tr>
<tr>
<td>moctdel<br />
</td>
<td>1375 / 1372<br />
</td>
<td>| -2 0 3 -3 1 ><br />
</td>
<td>3.781<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/swetismic%20chords">swetisma</a><br />
</td>
<td>540 / 539<br />
</td>
<td>| 2 3 1 -2 -1 ><br />
</td>
<td>3.209<br />
</td>
</tr>
<tr>
<td>wizardharry<br />
</td>
<td>4000 / 3993<br />
</td>
<td>| 5 -1 3 0 -3 ><br />
</td>
<td>3.032<br />
</td>
</tr>
<tr>
<td>vishdel<br />
</td>
<td>5632 / 5625<br />
</td>
<td>| 9 -2 -4 0 1 ><br />
</td>
<td>2.153<br />
</td>
</tr>
<tr>
<td>sesdecal<br />
</td>
<td>234375 / 234256<br />
</td>
<td>| -4 1 7 0 -4 ><br />
</td>
<td>0.879<br />
</td>
</tr>
<tr>
<td>hemigail<br />
</td>
<td>43923 / 43904<br />
</td>
<td>| -7 1 0 -3 4 ><br />
</td>
<td>0.749<br />
</td>
</tr>
<tr>
<td>lehmerisma<br />
</td>
<td>3025 / 3024<br />
</td>
<td>| -4 -3 2 -1 2 ><br />
</td>
<td>0.572<br />
</td>
</tr>
<tr>
<td>kalisma, Gauss' comma<br />
</td>
<td>9801 / 9800<br />
</td>
<td>| -3 4 -2 -2 2 ><br />
</td>
<td>0.177<br />
</td>
</tr>
<tr>
<td>odiheim<br />
</td>
<td>151263 / 151250<br />
</td>
<td>| -1 2 -4 5 -2 ><br />
</td>
<td>0.149<br />
</td>
</tr>
<tr>
<td>parimo<br />
</td>
<td>1771561 / 1771470<br />
</td>
<td>| -1 -11 -1 0 6 ><br />
</td>
<td>0.089<br />
</td>
</tr>
<tr>
<td>ultimo<br />
</td>
<td>3294225 / 3294172<br />
</td>
<td>| -2 2 2 -7 4 ><br />
</td>
<td>0.028<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:13:<h2> --><h2 id="toc6"><a name="List of commas, by prime limit-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:13 -->13-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>astbury<br />
</td>
<td>4826809 / 4718592<br />
</td>
<td>| -19 -2 0 0 0 6 ><br />
</td>
<td>39.255<br />
</td>
</tr>
<tr>
<td>telepathma<br />
</td>
<td>55 / 54<br />
</td>
<td>|-1 -3 1 0 1><br />
</td>
<td>31.767<br />
</td>
</tr>
<tr>
<td>wilsorma<br />
</td>
<td>65 / 64<br />
</td>
<td>|-6 0 1 0 0 1><br />
</td>
<td>26.841<br />
</td>
</tr>
<tr>
<td>winmeanma<br />
</td>
<td>66 /65<br />
</td>
<td>|1 1 -1 0 1 -1><br />
</td>
<td>26.432<br />
</td>
</tr>
<tr>
<td>negustma<br />
</td>
<td>78 / 77<br />
</td>
<td>| 1 1 0 -1 -1 1 ><br />
</td>
<td>22.229<br />
</td>
</tr>
<tr>
<td>superleap<br />
</td>
<td>91 / 90<br />
</td>
<td>| -1 -2 -1 1 0 1 ><br />
</td>
<td>19.130<br />
</td>
</tr>
<tr>
<td>animist<br />
</td>
<td>105 / 104<br />
</td>
<td>| -3 1 1 1 0 1 ><br />
</td>
<td>16.567<br />
</td>
</tr>
<tr>
<td>secorian<br />
</td>
<td>28672 / 28431<br />
</td>
<td>| 12 -7 0 1 0 -1 ><br />
</td>
<td>14.613<br />
</td>
</tr>
<tr>
<td>gassorma<br />
</td>
<td>275 / 273<br />
</td>
<td>| 0 -1 2 -1 1 -1 ><br />
</td>
<td>12.637<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/grossma">grossma</a><br />
</td>
<td>144 / 143<br />
</td>
<td>| 4 2 0 0 -1 -1 ><br />
</td>
<td>12.064<br />
</td>
</tr>
<tr>
<td>buzurgisma, dhanvantarisma<br />
</td>
<td>169 / 168<br />
</td>
<td>| -3 -1 0 -1 0 2 ><br />
</td>
<td>10.274<br />
</td>
</tr>
<tr>
<td>catadictma<br />
</td>
<td>1287 / 1280<br />
</td>
<td>| -8 2 -1 0 1 1 ><br />
</td>
<td>9.442<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/mynucumic%20chords">mynucuma</a><br />
</td>
<td>196 / 195<br />
</td>
<td>| 2 -1 -1 2 0 -1 ><br />
</td>
<td>8.855<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/huntmic%20chords">huntma</a><br />
</td>
<td>640 / 637<br />
</td>
<td>| 7 0 1 -2 0 -1 ><br />
</td>
<td>8.134<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/threedie">threedie</a><br />
</td>
<td>2197 / 2187<br />
</td>
<td>| 0 -7 0 0 0 3 ><br />
</td>
<td>7.897<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/kestrel%20chords">kestrel comma</a><br />
</td>
<td>1188 / 1183<br />
</td>
<td>| 2 3 0 -1 1 -2 ><br />
</td>
<td>7.302<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/marveltwin">marveltwin</a><br />
</td>
<td>325 / 324<br />
</td>
<td>| -2 -4 2 0 0 1 ><br />
</td>
<td>5.335<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a><br />
</td>
<td>351 / 350<br />
</td>
<td>| -1 3 -2 -1 0 1 ><br />
</td>
<td>4.939<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/minthmic%20chords">minthma</a><br />
</td>
<td>352 / 351<br />
</td>
<td>| 5 -3 0 0 1 -1 ><br />
</td>
<td>4.925<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/gentle%20chords">gentle comma</a><br />
</td>
<td>364 / 363<br />
</td>
<td>| 2 -1 0 1 -2 1 ><br />
</td>
<td>4.763<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/cuthbert%20triad">cuthbert</a><br />
</td>
<td>847 / 845<br />
</td>
<td>| 0 0 -1 1 2 -2 ><br />
</td>
<td>4.093<br />
</td>
</tr>
<tr>
<td>tunbarsma<br />
</td>
<td>625 / 624<br />
</td>
<td>| -4 -1 4 0 0 -1 ><br />
</td>
<td>2.772<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/The%20Archipelago">island comma</a><br />
</td>
<td>676 / 675<br />
</td>
<td>| 2 -3 -2 0 0 2 ><br />
</td>
<td>2.563<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/squbemic%20chords">squbema</a><br />
</td>
<td>729 / 728<br />
</td>
<td>| -3 6 0 -1 0 -1 ><br />
</td>
<td>2.376<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/petrmic%20triad">petrma</a><br />
</td>
<td>2200 / 2197<br />
</td>
<td>| 3 0 2 0 1 -3 ><br />
</td>
<td>2.362<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/nicolic%20tetrad">nicola</a><br />
</td>
<td>1575 / 1573<br />
</td>
<td>| 0 2 2 1 -2 -1 ><br />
</td>
<td>2.200<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/sinbadmic%20tetrad">sinbadma</a><br />
</td>
<td>1001 / 1000<br />
</td>
<td>| -3 0 -3 1 1 1 ><br />
</td>
<td>1.730<br />
</td>
</tr>
<tr>
<td>cantonisma<br />
</td>
<td>10985 / 10976<br />
</td>
<td>| -5 0 1 -3 0 3 ><br />
</td>
<td>1.419<br />
</td>
</tr>
<tr>
<td>lummic<br />
</td>
<td>1716 / 1715<br />
</td>
<td>| 2 1 -1 -3 1 1 ><br />
</td>
<td>1.009<br />
</td>
</tr>
<tr>
<td>ibnsinma<br />
</td>
<td>2080 / 2079<br />
</td>
<td>| 5 -3 1 -1 -1 1 ><br />
</td>
<td>0.833<br />
</td>
</tr>
<tr>
<td>schismina<br />
</td>
<td>4096 / 4095<br />
</td>
<td>| 12 -2 -1 -1 0 -1 ><br />
</td>
<td>0.423<br />
</td>
</tr>
<tr>
<td>leprechaun comma<br />
</td>
<td>4225 / 4224<br />
</td>
<td>| -7 -1 2 0 -1 2 ><br />
</td>
<td>0.410<br />
</td>
</tr>
<tr>
<td>jacobin<br />
</td>
<td>6656 / 6655<br />
</td>
<td>| 9 0 -1 0 -3 1 ><br />
</td>
<td>0.260<br />
</td>
</tr>
<tr>
<td>harmonisma<br />
</td>
<td>10648 / 10647<br />
</td>
<td>| 3 -2 0 -1 3 -2 ><br />
</td>
<td>0.163<br />
</td>
</tr>
<tr>
<td>chalmersima<br />
</td>
<td>123201 / 123200<br />
</td>
<td>| -6 6 -2 -1 -1 2 ><br />
</td>
<td>0.014<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:15:<h2> --><h2 id="toc7"><a name="List of commas, by prime limit-17-limit commas"></a><!-- ws:end:WikiTextHeadingRule:15 -->17-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>xenisma<br />
</td>
<td>2058 / 2057<br />
</td>
<td>| 1 1 0 3 -2 0 -1 ><br />
</td>
<td>0.841<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>12376 / 12375<br />
</td>
<td>|3 -2 -3 1 -1 1 1><br />
</td>
<td>0.140<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14400 / 14399<br />
</td>
<td>|6 2 2 -1 -2 0 -1><br />
</td>
<td>0.120<br />
</td>
</tr>
<tr>
<td>scintillisma<br />
</td>
<td>194481 / 194480<br />
</td>
<td>| -4 4 -1 4 -1 -1 -1 ><br />
</td>
<td>0.009<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:17:<h2> --><h2 id="toc8"><a name="List of commas, by prime limit-19-limit commas"></a><!-- ws:end:WikiTextHeadingRule:17 -->19-limit commas</h2>
<table class="wiki_table">
<tr>
<th>name(s)<br />
</th>
<th>ratio<br />
</th>
<th>monzo<br />
</th>
<th>cents<br />
</th>
</tr>
<tr>
<td>spleen comma<br />
</td>
<td>210 / 209<br />
</td>
<td>| 1 1 1 1 -1 0 0 -1 ><br />
</td>
<td>8.264<br />
</td>
</tr>
<tr>
<td>go comma<br />
</td>
<td>361 / 360<br />
</td>
<td>| -6 -1 0 0 0 0 0 2 ><br />
</td>
<td>4.802<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>165376 / 165375<br />
</td>
<td>|9 -3 -3 -2 0 0 1 1><br />
</td>
<td>0.010<br />
</td>
</tr>
</table>
<br />
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