Small comma: Difference between revisions

Revision as of 14:32, 18 January 2015

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=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 ||
|| Pythagorean Integer cents comma ||   || | 317 -200 > || 9.000 ||

==5-limit commas== 
||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
|| <span style="font-size: 12.8000001907349px;">pental </span>grave minor third, major heptathird comma || 78125 / 65535 || | -16 0 7 > || 304.196 ||
|| <span style="font-size: 12.8000001907349px;">pental grave subminor third, major decathird comma</span> || 9765625 / 8388608 || | -23 0 10 > || 263.137 ||
|| <span style="font-size: 12.8000001907349px;">pental grave supermajor second, major triskaidecathird comma</span> || 1220703125 / 1073741824 || | -30 0 13 > || 222.078 ||
|| pental obtuse major second, <span style="font-size: 12.8000001907349px;">Satiric hexadecathird comma</span> ||   || | -37 0 16 > || 181.019 ||
|| acute limma ||   || | -44 0 19 > || 139.961 ||
|| Twenty-two thirds limma, <span style="font-size: 12.8000001907349px;">Twenty-two thirds chroma</span> ||   || | -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 ||
|| 1/5 tritave comma ||   || | -95 0 41 > || 238.862 ||
|| Schismic thirds chromatic semitone ||   || | -123 0 53 > || 74.627 ||
|| meantone Integer cents comma ||   || | -1393 0 600 > || 188.228 ||
|| 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 ||
|| hexatone comma || 131072 / 117649 || | 17 0 0 -6 > || 187.045 ||
|| major hendecatone comma || 2147483648 / 1977326743 || | 31 0 0 -11 > || 142.915 ||
|| <span style="font-size: 12.8000001907349px;">hexadecatone comma</span> ||   || | 45 0 0 -16 > || 98.7855 ||
||   ||   || | 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 ||
||   ||   || | -101 0 0 36 > || 77.737 ||
||   ||   || | -115 0 0 41 > || 121.862 ||
||   ||   || | 159 0 0 -53 > || 252.227 ||
|| slendro integer cents comma ||   || | 1127 0 0 -400 > || 69.637 ||
|| 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 || 250047 / 250000 || | -4 6 -6 3 > || 0.325 ||
|| starscape || 645700815/645657712 || | -4 17 1 -9 > || 0.116 ||
|| 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 ||
|| <span style="font-size: 12.8000001907349px;">11-</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">cycle</span><span style="font-size: 13px; line-height: 1.5;"> neutral third, pentadecatone comma</span> || 161051 / 131072 || | -17 0 0 0 5 > || 356.950 ||
|| 11-cycle subminor third || 19487171 / 16777216 || | -24 0 0 0 7 > || 259.226 ||
|| 11-cycle <span style="font-size: 12.8000001907349px;">enipucrop/</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">neutral second</span> || 2357947691 / 2147483648 || | -31 0 0 0 9 > || 161.8615 ||
|| 11-cycle chroma ||   || | -38 0 0 0 11 > || 64.497 ||
||   ||   || | 45 0 0 0 -13 > || 32.867 ||
|| 11-cycle trienthird ||   || | 52 0 0 0 -15 > || 130.231 ||
|| 11-cycle supermajor second ||   || | 59 0 0 0 -17 > || 227.595 ||
|| 11-cycle Orgone third ||   || | 66 0 0 0 -19 > || 324.959 ||
|| 11-cycle supermajor third ||   || | 73 0 0 0 -21 > || 422.323 ||
|| 11-cycle acute fourth ||   || | 80 0 0 0 -23 > || 519.687 ||
|| 11-cycle large diesis ||   || | -173 0 0 0 50 > || 34.103 ||
|| 11-cycle perfect fourth ||   || | -93 0 0 0 27 > || 485.584 ||
|| 11-cycle major third, tricentenary comma ||   || | -100 0 0 0 29 > || 388.220 ||
|| dominant #11 comma, 11-cycle acute subminor third ||   || | -107 0 0 0 31 > || 290.856 ||
|| 11-cycle meantone ||   || | -114 0 0 0 33 > || 193.492 ||
|| 11-cycle diatonic semitone ||   || | -121 0 0 0 35 > || 96.128 ||
|| 11-cycle negative schisma ||   || | -128 0 0 0 37 > || -1.236 ||
|| 11-cycle negative semitone ||   || | -135 0 0 0 39 > || -98.600 ||
|| 11-cycle negative meantone ||   || | -142 0 0 0 41 > || -195.964 ||
|| <span style="font-size: 12.8000001907349px;">11-cycle negative acute subminor third</span> ||   || | -149 0 0 0 43 > || -293.3285 ||
|| <span style="font-size: 12.8000001907349px;">11-cycle negative major third</span> ||   || | -156 0 0 0 45 > || -390.693 ||
|| <span style="font-size: 12.8000001907349px;">11-cycle negative perfect fourth</span> ||   || | -163 0 0 0 47 > || -488.057 ||
|| <span style="font-size: 12.8000001907349px;">11-cycle small comma</span> ||   || | -339 0 0 0 98 > || 29.158 ||
|| <span style="font-size: 12.8000001907349px;">11-cycle negative acute fourth</span> ||   || | 176 0 0 0 -51 > || -517.215 ||
|| <span style="font-size: 12.8000001907349px;">11-cycle negative supermajor third</span> ||   || | 183 0 0 0 -53 > || -419.851 ||
|| Hunt 11-cycle comma ||   || | -83 0 0 0 24 > || 31.631 ||
|| <span style="font-size: 12.8000001907349px;">thuja integer cents comma</span> ||   || | -4151 0 0 0 1200 > || 381.531 ||
|| sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 ||
|| the Igs boson || 35184372088832 / 34522712143931 || | 45 0 0 0 -13 > || 32.867 ||
|| telepathma || 55 / 54 || | -1 -3 1 0 1 > || 31.767 ||
|| 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 ||
|| 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:&lt;h1&gt; --><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:&lt;h1&gt; --><h1 id="toc1"><a name="List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:3 -->List of commas, by prime limit</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="List of commas, by prime limit-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->3-limit commas</h2>
 

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>limma, Pythagorean minor second<br />
</td>
        <td><a class="wiki_link" href="/256_243">256 / 243</a><br />
</td>
        <td>| 8 -5 &gt;<br />
</td>
        <td>90.225<br />
</td>
    </tr>
    <tr>
        <td>apotome<br />
</td>
        <td><a class="wiki_link" href="/2187_2048">2187 / 2048</a><br />
</td>
        <td>| -11 7 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<br />
</td>
        <td>3.615<br />
</td>
    </tr>
    <tr>
        <td>Sasktel comma<br />
</td>
        <td><br />
</td>
        <td>| 485 -306 &gt;<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 &gt;<br />
</td>
        <td>0.076<br />
</td>
    </tr>
    <tr>
        <td>Pythagorean Integer cents comma<br />
</td>
        <td><br />
</td>
        <td>| 317 -200 &gt;<br />
</td>
        <td>9.000<br />
</td>
    </tr>
</table>

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

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">pental </span>grave minor third, major heptathird comma<br />
</td>
        <td>78125 / 65535<br />
</td>
        <td>| -16 0 7 &gt;<br />
</td>
        <td>304.196<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">pental grave subminor third, major decathird comma</span><br />
</td>
        <td>9765625 / 8388608<br />
</td>
        <td>| -23 0 10 &gt;<br />
</td>
        <td>263.137<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">pental grave supermajor second, major triskaidecathird comma</span><br />
</td>
        <td>1220703125 / 1073741824<br />
</td>
        <td>| -30 0 13 &gt;<br />
</td>
        <td>222.078<br />
</td>
    </tr>
    <tr>
        <td>pental obtuse major second, <span style="font-size: 12.8000001907349px;">Satiric hexadecathird comma</span><br />
</td>
        <td><br />
</td>
        <td>| -37 0 16 &gt;<br />
</td>
        <td>181.019<br />
</td>
    </tr>
    <tr>
        <td>acute limma<br />
</td>
        <td><br />
</td>
        <td>| -44 0 19 &gt;<br />
</td>
        <td>139.961<br />
</td>
    </tr>
    <tr>
        <td>Twenty-two thirds limma, <span style="font-size: 12.8000001907349px;">Twenty-two thirds chroma</span><br />
</td>
        <td><br />
</td>
        <td>| -51 0 22 &gt;<br />
</td>
        <td>98.902<br />
</td>
    </tr>
    <tr>
        <td>sibbolet<br />
</td>
        <td><br />
</td>
        <td>| -58 0 25 &gt;<br />
</td>
        <td>57.843<br />
</td>
    </tr>
    <tr>
        <td>Hunt 5-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -65 0 28 &gt;<br />
</td>
        <td>16.784<br />
</td>
    </tr>
    <tr>
        <td>acute thirds comma<br />
</td>
        <td><br />
</td>
        <td>| 72 0 -31 &gt;<br />
</td>
        <td>24.275<br />
</td>
    </tr>
    <tr>
        <td>1/5 tritave comma<br />
</td>
        <td><br />
</td>
        <td>| -95 0 41 &gt;<br />
</td>
        <td>238.862<br />
</td>
    </tr>
    <tr>
        <td>Schismic thirds chromatic semitone<br />
</td>
        <td><br />
</td>
        <td>| -123 0 53 &gt;<br />
</td>
        <td>74.627<br />
</td>
    </tr>
    <tr>
        <td>meantone Integer cents comma<br />
</td>
        <td><br />
</td>
        <td>| -1393 0 600 &gt;<br />
</td>
        <td>188.228<br />
</td>
    </tr>
    <tr>
        <td>enipucrop<br />
</td>
        <td>1125 / 1024<br />
</td>
        <td>| -10 2 3 &gt;<br />
</td>
        <td>162.851<br />
</td>
    </tr>
    <tr>
        <td>supersharp<br />
</td>
        <td>800 / 729<br />
</td>
        <td>| 5 -6 2 &gt;<br />
</td>
        <td>160.897<br />
</td>
    </tr>
    <tr>
        <td>gorgo<br />
</td>
        <td>2187 / 2000<br />
</td>
        <td>| -4 7 -3 &gt;<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&gt;<br />
</td>
        <td>133.238<br />
</td>
    </tr>
    <tr>
        <td>lemba<br />
</td>
        <td>140625 / 131072<br />
</td>
        <td>| -17 2 6 &gt;<br />
</td>
        <td>121.792<br />
</td>
    </tr>
    <tr>
        <td>sixix<br />
</td>
        <td>3125 / 2916<br />
</td>
        <td>| -2 -6 5 &gt;<br />
</td>
        <td>119.839<br />
</td>
    </tr>
    <tr>
        <td>diesma<br />
</td>
        <td>10460353203 / 9765625000<br />
</td>
        <td>| -3 21 -13 &gt;<br />
</td>
        <td>118.977<br />
</td>
    </tr>
    <tr>
        <td>comic<br />
</td>
        <td>5120000 / 4782969<br />
</td>
        <td>| 13 -14 4 &gt;<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&gt;<br />
</td>
        <td>111.731<br />
</td>
    </tr>
    <tr>
        <td>beatles<br />
</td>
        <td>524288 / 492075<br />
</td>
        <td>| 19 -9 -2 &gt;<br />
</td>
        <td>109.778<br />
</td>
    </tr>
    <tr>
        <td>wronecki<br />
</td>
        <td>531441 / 500000<br />
</td>
        <td>| -5 12 -6 &gt;<br />
</td>
        <td>105.578<br />
</td>
    </tr>
    <tr>
        <td>wesley<br />
</td>
        <td>78125 / 73728<br />
</td>
        <td>| -13 -2 7 &gt;<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 &gt;<br />
</td>
        <td>92.179<br />
</td>
    </tr>
    <tr>
        <td>ripple<br />
</td>
        <td>6561 / 6250<br />
</td>
        <td>| -1 8 -5 &gt;<br />
</td>
        <td>84.071<br />
</td>
    </tr>
    <tr>
        <td>doublewide<br />
</td>
        <td>390625 / 373248<br />
</td>
        <td>| -9 -6 8 &gt;<br />
</td>
        <td>78.780<br />
</td>
    </tr>
    <tr>
        <td>sevond<br />
</td>
        <td>5000000 / 4782969<br />
</td>
        <td>| 6 -14 7 &gt;<br />
</td>
        <td>76.826<br />
</td>
    </tr>
    <tr>
        <td>nusecond<br />
</td>
        <td>51018336 / 48828125<br />
</td>
        <td>| 5 13 -11 &gt;<br />
</td>
        <td>75.964<br />
</td>
    </tr>
    <tr>
        <td>sentinel<br />
</td>
        <td>8968066875 / 8589934592<br />
</td>
        <td>| -33 15 4 &gt;<br />
</td>
        <td>74.580<br />
</td>
    </tr>
    <tr>
        <td>chromatic semitone<br />
</td>
        <td><a class="wiki_link" href="/25_24">25 / 24</a><br />
</td>
        <td>| -3 -1 2 &gt;<br />
</td>
        <td>70.672<br />
</td>
    </tr>
    <tr>
        <td>superpyth, grave minor second<br />
</td>
        <td>20480 / 19683<br />
</td>
        <td>| 12 -9 1 &gt;<br />
</td>
        <td>68.719<br />
</td>
    </tr>
    <tr>
        <td>major diesis, diminished comma<br />
</td>
        <td><a class="wiki_link" href="/648_625">648 / 625</a><br />
</td>
        <td>| 3 4 -4 &gt;<br />
</td>
        <td>62.565<br />
</td>
    </tr>
    <tr>
        <td>passion<br />
</td>
        <td>262144 / 253125<br />
</td>
        <td>| 18 -4 -5 &gt;<br />
</td>
        <td>60.611<br />
</td>
    </tr>
    <tr>
        <td>shibboleth<br />
</td>
        <td>1953125 / 1889568<br />
</td>
        <td>| -5 -10 9 &gt;<br />
</td>
        <td>57.273<br />
</td>
    </tr>
    <tr>
        <td>mynic<br />
</td>
        <td>10077696 / 9765625<br />
</td>
        <td>| 9 9 -10 &gt;<br />
</td>
        <td>54.458<br />
</td>
    </tr>
    <tr>
        <td>tritonic<br />
</td>
        <td>553584375 / 536870912<br />
</td>
        <td>| -29 11 5 &gt;<br />
</td>
        <td>53.074<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/negri%20comma">negri comma</a>, double augmentation diesis<br />
</td>
        <td>16875 / 16384<br />
</td>
        <td>| -14 3 4 &gt;<br />
</td>
        <td>51.120<br />
</td>
    </tr>
    <tr>
        <td>maximal diesis, porcupine comma<br />
</td>
        <td><a class="wiki_link" href="/250_243">250 / 243</a><br />
</td>
        <td>| 1 -5 3 &gt;<br />
</td>
        <td>49.166<br />
</td>
    </tr>
    <tr>
        <td>immunity<br />
</td>
        <td>1638400 / 1594323<br />
</td>
        <td>| 16 -13 2 &gt;<br />
</td>
        <td>47.212<br />
</td>
    </tr>
    <tr>
        <td>diesis, augmented comma<br />
</td>
        <td><a class="wiki_link" href="/128_125">128 / 125</a><br />
</td>
        <td>| 7 0 -3 &gt;<br />
</td>
        <td>41.059<br />
</td>
    </tr>
    <tr>
        <td>wizard<br />
</td>
        <td>2197265625 / 2147483648<br />
</td>
        <td>| -31 2 12 &gt;<br />
</td>
        <td>39.675<br />
</td>
    </tr>
    <tr>
        <td>sycamore<br />
</td>
        <td>48828125 / 47775744<br />
</td>
        <td>| -16 -6 11 &gt;<br />
</td>
        <td>37.721<br />
</td>
    </tr>
    <tr>
        <td>fifive<br />
</td>
        <td>9765625 / 9565938<br />
</td>
        <td>| -1 -14 10 &gt;<br />
</td>
        <td>35.767<br />
</td>
    </tr>
    <tr>
        <td>unicorn<br />
</td>
        <td>1594323 / 1562500<br />
</td>
        <td>| -2 13 -8 &gt;<br />
</td>
        <td>34.905<br />
</td>
    </tr>
    <tr>
        <td>valensixthtone<br />
</td>
        <td>1990656 / 1953125<br />
</td>
        <td>| 13 5 -9 &gt;<br />
</td>
        <td>32.952<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma<br />
</td>
        <td>34171875 / 33554432<br />
</td>
        <td>| -25 7 6 &gt;<br />
</td>
        <td>31.567<br />
</td>
    </tr>
    <tr>
        <td>small diesis, <a class="wiki_link" href="/magic%20comma">magic comma</a><br />
</td>
        <td>3125 / 3072<br />
</td>
        <td>| -10 -1 5 &gt;<br />
</td>
        <td>29.614<br />
</td>
    </tr>
    <tr>
        <td>minimal diesis, <a class="wiki_link" href="/tetracot%20comma">tetracot comma</a><br />
</td>
        <td>20000 / 19683<br />
</td>
        <td>| 5 -9 4 &gt;<br />
</td>
        <td>27.660<br />
</td>
    </tr>
    <tr>
        <td>roda<br />
</td>
        <td>131072000 / 129140163<br />
</td>
        <td>| 20 -17 3 &gt;<br />
</td>
        <td>25.706<br />
</td>
    </tr>
    <tr>
        <td>maja<br />
</td>
        <td>762939453125 / 753145430616<br />
</td>
        <td>| -3 -23 17 &gt;<br />
</td>
        <td>22.368<br />
</td>
    </tr>
    <tr>
        <td>syntonic comma, Didymos comma, meantone comma<br />
</td>
        <td><a class="wiki_link" href="/81_80">81 / 80</a><br />
</td>
        <td>| -4 4 -1 &gt;<br />
</td>
        <td>21.506<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/diaschisma">diaschisma</a><br />
</td>
        <td>2048 / 2025<br />
</td>
        <td>| 11 -4 -2 &gt;<br />
</td>
        <td>19.553<br />
</td>
    </tr>
    <tr>
        <td>ditonma<br />
</td>
        <td>1220703125 / 1207959552<br />
</td>
        <td>| -27 -2 13 &gt;<br />
</td>
        <td>18.168<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/misty%20comma">misty comma</a><br />
</td>
        <td>67108864 / 66430125<br />
</td>
        <td>| 26 -12 -3 &gt;<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 &gt;<br />
</td>
        <td>15.353<br />
</td>
    </tr>
    <tr>
        <td>quartonic<br />
</td>
        <td>390625000 / 387420489<br />
</td>
        <td>| 3 -18 11 &gt;<br />
</td>
        <td>14.261<br />
</td>
    </tr>
    <tr>
        <td>medium semicomma, <a class="wiki_link" href="/sensipent%20comma">sensipent comma</a><br />
</td>
        <td>78732 / 78125<br />
</td>
        <td>| 2 9 -7 &gt;<br />
</td>
        <td>13.399<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/W%C3%BCrschmidt%20comma">Würschmidt comma</a><br />
</td>
        <td>393216 / 390625<br />
</td>
        <td>| 17 1 -8 &gt;<br />
</td>
        <td>11.445<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma<br />
</td>
        <td>2109375 / 2097152<br />
</td>
        <td>| -21 3 7 &gt;<br />
</td>
        <td>10.061<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/escapade%20comma">escapade comma</a><br />
</td>
        <td><br />
</td>
        <td>| 32 -7 -9 &gt;<br />
</td>
        <td>9.492<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/kleisma">kleisma</a>, semicomma majeur<br />
</td>
        <td>15625 / 15552<br />
</td>
        <td>| -6 -5 6 &gt;<br />
</td>
        <td>8.107<br />
</td>
    </tr>
    <tr>
        <td>unidecma<br />
</td>
        <td>31381059609 / 31250000000<br />
</td>
        <td>| -7 22 -12 &gt;<br />
</td>
        <td>7.245<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/mutt%20comma">mutt comma</a><br />
</td>
        <td><br />
</td>
        <td>| -44 -3 21 &gt;<br />
</td>
        <td>6.723<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/amity%20comma">amity comma</a><br />
</td>
        <td>1600000 / 1594323<br />
</td>
        <td>| 9 -13 5 &gt;<br />
</td>
        <td>6.154<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/parakleisma">parakleisma</a><br />
</td>
        <td><br />
</td>
        <td>| 8 14 -13 &gt;<br />
</td>
        <td>5.292<br />
</td>
    </tr>
    <tr>
        <td>gammic comma<br />
</td>
        <td><br />
</td>
        <td>| -29 -11 20 &gt;<br />
</td>
        <td>4.769<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/vulture%20comma">vulture comma</a><br />
</td>
        <td><br />
</td>
        <td>| 24 -21 4 &gt;<br />
</td>
        <td>4.200<br />
</td>
    </tr>
    <tr>
        <td>rubidia<br />
</td>
        <td><br />
</td>
        <td>|-67 -9 35&gt;<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 &gt;<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 &gt;<br />
</td>
        <td>2.816<br />
</td>
    </tr>
    <tr>
        <td>vavoom<br />
</td>
        <td><br />
</td>
        <td>| -68 18 17 &gt;<br />
</td>
        <td>2.523<br />
</td>
    </tr>
    <tr>
        <td>tricot comma<br />
</td>
        <td><br />
</td>
        <td>| 39 -29 3 &gt;<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 &gt;<br />
</td>
        <td>1.954<br />
</td>
    </tr>
    <tr>
        <td>counterschisma<br />
</td>
        <td><br />
</td>
        <td>| -69 45 -1 &gt;<br />
</td>
        <td>1.661<br />
</td>
    </tr>
    <tr>
        <td>septendecima<br />
</td>
        <td><br />
</td>
        <td>| -52 -17 34 &gt;<br />
</td>
        <td>1.431<br />
</td>
    </tr>
    <tr>
        <td>hemithirds comma, lunama<br />
</td>
        <td>274877906944 / 274658203125<br />
</td>
        <td>| 38 -2 -15 &gt;<br />
</td>
        <td>1.384<br />
</td>
    </tr>
    <tr>
        <td>minortone comma<br />
</td>
        <td><br />
</td>
        <td>| -16 35 -17 &gt;<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 &gt;<br />
</td>
        <td>0.862<br />
</td>
    </tr>
    <tr>
        <td>astro<br />
</td>
        <td><br />
</td>
        <td>| 91 -12 -31 &gt;<br />
</td>
        <td>0.815<br />
</td>
    </tr>
    <tr>
        <td>kwazy<br />
</td>
        <td><br />
</td>
        <td>| -53 10 16 &gt;<br />
</td>
        <td>0.569<br />
</td>
    </tr>
    <tr>
        <td>whoosh<br />
</td>
        <td><br />
</td>
        <td>| 37 25 -33 &gt;<br />
</td>
        <td>0.522<br />
</td>
    </tr>
    <tr>
        <td>egads<br />
</td>
        <td><br />
</td>
        <td>| -36 -52 51 &gt;<br />
</td>
        <td>0.339<br />
</td>
    </tr>
    <tr>
        <td>monzisma<br />
</td>
        <td><br />
</td>
        <td>| 54 -37 2 &gt;<br />
</td>
        <td>0.292<br />
</td>
    </tr>
    <tr>
        <td>fortune<br />
</td>
        <td><br />
</td>
        <td>| -107 47 14 &gt;<br />
</td>
        <td>0.277<br />
</td>
    </tr>
    <tr>
        <td>gross<br />
</td>
        <td><br />
</td>
        <td>| 144 -22 -47 &gt;<br />
</td>
        <td>0.245<br />
</td>
    </tr>
    <tr>
        <td>senior<br />
</td>
        <td><br />
</td>
        <td>| -17 62 -35 &gt;<br />
</td>
        <td>0.230<br />
</td>
    </tr>
    <tr>
        <td>raider<br />
</td>
        <td><br />
</td>
        <td>| 71 -99 37 &gt;<br />
</td>
        <td>0.062<br />
</td>
    </tr>
    <tr>
        <td>pirate<br />
</td>
        <td><br />
</td>
        <td>| -90 -15 49 &gt;<br />
</td>
        <td>0.047<br />
</td>
    </tr>
    <tr>
        <td>viking<br />
</td>
        <td><br />
</td>
        <td>| -251 69 61 &gt;<br />
</td>
        <td>0.032<br />
</td>
    </tr>
    <tr>
        <td>atom<br />
</td>
        <td><br />
</td>
        <td>| 161 -84 -12 &gt;<br />
</td>
        <td>0.015<br />
</td>
    </tr>
    <tr>
        <td>selenia<br />
</td>
        <td><br />
</td>
        <td>| -433 -137 280 &gt;<br />
</td>
        <td>0.004764<br />
</td>
    </tr>
    <tr>
        <td>titania<br />
</td>
        <td><br />
</td>
        <td>| 2746 -521 -827 &gt;<br />
</td>
        <td>0.003183<br />
</td>
    </tr>
    <tr>
        <td>quark<br />
</td>
        <td><br />
</td>
        <td>| -537 237 85 &gt;<br />
</td>
        <td>0.000884<br />
</td>
    </tr>
    <tr>
        <td>rover<br />
</td>
        <td><br />
</td>
        <td>| 1634 1502 -1729 &gt;<br />
</td>
        <td>0.000028<br />
</td>
    </tr>
    <tr>
        <td>rascal<br />
</td>
        <td><br />
</td>
        <td>|-7470 2791 1312 &gt;<br />
</td>
        <td>0.000006<br />
</td>
    </tr>
</table>

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

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>hexatone comma<br />
</td>
        <td>131072 / 117649<br />
</td>
        <td>| 17 0 0 -6 &gt;<br />
</td>
        <td>187.045<br />
</td>
    </tr>
    <tr>
        <td>major hendecatone comma<br />
</td>
        <td>2147483648 / 1977326743<br />
</td>
        <td>| 31 0 0 -11 &gt;<br />
</td>
        <td>142.915<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">hexadecatone comma</span><br />
</td>
        <td><br />
</td>
        <td>| 45 0 0 -16 &gt;<br />
</td>
        <td>98.7855<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>| 59 0 0 -21 &gt;<br />
</td>
        <td>54.656<br />
</td>
    </tr>
    <tr>
        <td>Hunt 7-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| 73 0 0 -26 &gt;<br />
</td>
        <td>10.526<br />
</td>
    </tr>
    <tr>
        <td>German sixth comma<br />
</td>
        <td><br />
</td>
        <td>| -87 0 0 31 &gt;<br />
</td>
        <td>33.603<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>| -101 0 0 36 &gt;<br />
</td>
        <td>77.737<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>| -115 0 0 41 &gt;<br />
</td>
        <td>121.862<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>| 159 0 0 -53 &gt;<br />
</td>
        <td>252.227<br />
</td>
    </tr>
    <tr>
        <td>slendro integer cents comma<br />
</td>
        <td><br />
</td>
        <td>| 1127 0 0 -400 &gt;<br />
</td>
        <td>69.637<br />
</td>
    </tr>
    <tr>
        <td>greenwoodma<br />
</td>
        <td>405 / 392<br />
</td>
        <td>| -3 4 1 -2 &gt;<br />
</td>
        <td>56.482<br />
</td>
    </tr>
    <tr>
        <td>Harrison's comma<br />
</td>
        <td>59049 / 57344<br />
</td>
        <td>| -13 10 0 -1 &gt;<br />
</td>
        <td>50.724<br />
</td>
    </tr>
    <tr>
        <td>keega<br />
</td>
        <td>1029 / 1000<br />
</td>
        <td>| -3 1 -3 3 &gt;<br />
</td>
        <td>49.492<br />
</td>
    </tr>
    <tr>
        <td>septimal quarter tone<br />
</td>
        <td><a class="wiki_link" href="/36_35">36 / 35</a><br />
</td>
        <td>| 2 2 -1 -1 &gt;<br />
</td>
        <td>48.770<br />
</td>
    </tr>
    <tr>
        <td>cloudy<br />
</td>
        <td>16807 / 16384<br />
</td>
        <td>| -14 0 0 5 &gt;<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 &gt;<br />
</td>
        <td>43.408<br />
</td>
    </tr>
    <tr>
        <td>slendro diesis<br />
</td>
        <td><a class="wiki_link" href="/49_48">49 / 48</a><br />
</td>
        <td>| -4 -1 0 2 &gt;<br />
</td>
        <td>35.597<br />
</td>
    </tr>
    <tr>
        <td>tritonic diesis, jubilisma<br />
</td>
        <td><a class="wiki_link" href="/50_49">50 / 49</a><br />
</td>
        <td>| 1 0 2 -2 &gt;<br />
</td>
        <td>34.976<br />
</td>
    </tr>
    <tr>
        <td>eric<br />
</td>
        <td>839808 / 823543<br />
</td>
        <td>| 7 8 0 -7 &gt;<br />
</td>
        <td>33.859<br />
</td>
    </tr>
    <tr>
        <td>senga<br />
</td>
        <td>686 / 675<br />
</td>
        <td>| 1 -3 -2 3 &gt;<br />
</td>
        <td>27.985<br />
</td>
    </tr>
    <tr>
        <td>septimal comma, Archytas' comma, Leipziger Komma<br />
</td>
        <td><a class="wiki_link" href="/64_63">64 / 63</a><br />
</td>
        <td>| 6 -2 0 -1 &gt;<br />
</td>
        <td>27.264<br />
</td>
    </tr>
    <tr>
        <td>blackjackisma<br />
</td>
        <td>854296875 / 843308032<br />
</td>
        <td>| -10 7 8 -7 &gt;<br />
</td>
        <td>22.413<br />
</td>
    </tr>
    <tr>
        <td>squalentine<br />
</td>
        <td>64827 / 64000<br />
</td>
        <td>| -9 3 -3 4 &gt;<br />
</td>
        <td>22.227<br />
</td>
    </tr>
    <tr>
        <td>keema<br />
</td>
        <td>875 / 864<br />
</td>
        <td>| -5 -3 3 1 &gt;<br />
</td>
        <td>21.902<br />
</td>
    </tr>
    <tr>
        <td>gariboh<br />
</td>
        <td>3125 / 3087<br />
</td>
        <td>| 0 -2 5 -3 &gt;<br />
</td>
        <td>21.181<br />
</td>
    </tr>
    <tr>
        <td>nuwell<br />
</td>
        <td>2430 / 2401<br />
</td>
        <td>| 1 5 1 -4 &gt;<br />
</td>
        <td>20.785<br />
</td>
    </tr>
    <tr>
        <td>tolerma<br />
</td>
        <td>179200 / 177147<br />
</td>
        <td>| 10 -11 2 1 &gt;<br />
</td>
        <td>19.948<br />
</td>
    </tr>
    <tr>
        <td>mirwomo<br />
</td>
        <td>33075 / 32768<br />
</td>
        <td>| -15 3 2 2 &gt;<br />
</td>
        <td>16.144<br />
</td>
    </tr>
    <tr>
        <td>trimyna<br />
</td>
        <td>50421 / 50000<br />
</td>
        <td>| -4 1 -5 5 &gt;<br />
</td>
        <td>14.516<br />
</td>
    </tr>
    <tr>
        <td>sensamagic<br />
</td>
        <td>245 / 243<br />
</td>
        <td>| 0 -5 1 2 &gt;<br />
</td>
        <td>14.191<br />
</td>
    </tr>
    <tr>
        <td>septimal semicomma, starling comma<br />
</td>
        <td><a class="wiki_link" href="/126_125">126 / 125</a><br />
</td>
        <td>| 1 2 -3 1 &gt;<br />
</td>
        <td>13.795<br />
</td>
    </tr>
    <tr>
        <td>octagar<br />
</td>
        <td>4000 / 3969<br />
</td>
        <td>| 5 -4 3 -2 &gt;<br />
</td>
        <td>13.469<br />
</td>
    </tr>
    <tr>
        <td>orwellisma, orwell comma<br />
</td>
        <td>1728 / 1715<br />
</td>
        <td>| 6 3 -1 -3 &gt;<br />
</td>
        <td>13.074<br />
</td>
    </tr>
    <tr>
        <td>quince<br />
</td>
        <td>823543 / 819200<br />
</td>
        <td>| -15 0 -2 7 &gt;<br />
</td>
        <td>9.154<br />
</td>
    </tr>
    <tr>
        <td>gamelisma<br />
</td>
        <td>1029 / 1024<br />
</td>
        <td>| -10 1 0 3 &gt;<br />
</td>
        <td>8.433<br />
</td>
    </tr>
    <tr>
        <td>varunisma<br />
</td>
        <td>321489 / 320000<br />
</td>
        <td>| -9 8 -4 2 &gt;<br />
</td>
        <td>8.037<br />
</td>
    </tr>
    <tr>
        <td>septimal kleisma, marvel comma<br />
</td>
        <td><a class="wiki_link" href="/225_224">225 / 224</a><br />
</td>
        <td>| -5 2 2 -1 &gt;<br />
</td>
        <td>7.712<br />
</td>
    </tr>
    <tr>
        <td>dimcomp<br />
</td>
        <td>390625 / 388962<br />
</td>
        <td>| -1 -4 8 -4 &gt;<br />
</td>
        <td>7.386<br />
</td>
    </tr>
    <tr>
        <td>cataharry<br />
</td>
        <td>19683 / 19600<br />
</td>
        <td>| -4 9 -2 -2 &gt;<br />
</td>
        <td>7.316<br />
</td>
    </tr>
    <tr>
        <td>mirkwai<br />
</td>
        <td>16875 / 16807<br />
</td>
        <td>| 0 3 4 -5 &gt;<br />
</td>
        <td>6.990<br />
</td>
    </tr>
    <tr>
        <td>stearnsma<br />
</td>
        <td>118098 / 117649<br />
</td>
        <td>| 1 10 0 -6 &gt;<br />
</td>
        <td>6.595<br />
</td>
    </tr>
    <tr>
        <td>hemimage<br />
</td>
        <td>10976 / 10935<br />
</td>
        <td>| 5 -7 -1 3 &gt;<br />
</td>
        <td>6.479<br />
</td>
    </tr>
    <tr>
        <td>hemimean<br />
</td>
        <td>3136 / 3125<br />
</td>
        <td>| 6 0 -5 2 &gt;<br />
</td>
        <td>6.083<br />
</td>
    </tr>
    <tr>
        <td>hemifamity<br />
</td>
        <td>5120 / 5103<br />
</td>
        <td>| 10 -6 1 -1 &gt;<br />
</td>
        <td>5.758<br />
</td>
    </tr>
    <tr>
        <td>linus<br />
</td>
        <td>578509309952 / 576650390625<br />
</td>
        <td>| 11 -10 -10 10 &gt;<br />
</td>
        <td>5.572<br />
</td>
    </tr>
    <tr>
        <td>porwell<br />
</td>
        <td>6144 / 6125<br />
</td>
        <td>| 11 1 -3 -2 &gt;<br />
</td>
        <td>5.362<br />
</td>
    </tr>
    <tr>
        <td>garischisma<br />
</td>
        <td>33554432 / 33480783<br />
</td>
        <td>| 25 -14 0 -1 &gt;<br />
</td>
        <td>3.804<br />
</td>
    </tr>
    <tr>
        <td>wadisma<br />
</td>
        <td>201768035 / 201326592<br />
</td>
        <td>| -26 -1 1 9 &gt;<br />
</td>
        <td>3.792<br />
</td>
    </tr>
    <tr>
        <td>quasiorwellisma<br />
</td>
        <td>29360128 / 29296875<br />
</td>
        <td>| 22 -1 -10 1 &gt;<br />
</td>
        <td>3.734<br />
</td>
    </tr>
    <tr>
        <td>horwell<br />
</td>
        <td>65625 / 65536<br />
</td>
        <td>| -16 1 5 1 &gt;<br />
</td>
        <td>2.349<br />
</td>
    </tr>
    <tr>
        <td>meter<br />
</td>
        <td>703125 / 702464<br />
</td>
        <td>| -11 2 7 -3 &gt;<br />
</td>
        <td>1.628<br />
</td>
    </tr>
    <tr>
        <td>wizma<br />
</td>
        <td>420175 / 419904<br />
</td>
        <td>| -6 -8 2 5 &gt;<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 &gt;<br />
</td>
        <td>0.721<br />
</td>
    </tr>
    <tr>
        <td>ragisma<br />
</td>
        <td>4375 / 4374<br />
</td>
        <td>| -1 -7 4 1 &gt;<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 &gt;<br />
</td>
        <td>0.338<br />
</td>
    </tr>
    <tr>
        <td>landscape<br />
</td>
        <td>250047 / 250000<br />
</td>
        <td>| -4 6 -6 3 &gt;<br />
</td>
        <td>0.325<br />
</td>
    </tr>
    <tr>
        <td>starscape<br />
</td>
        <td>645700815/645657712<br />
</td>
        <td>| -4 17 1 -9 &gt;<br />
</td>
        <td>0.116<br />
</td>
    </tr>
    <tr>
        <td>euzenius<br />
</td>
        <td>78125000/78121827<br />
</td>
        <td>| 3 -13 10 -2 &gt;<br />
</td>
        <td>0.070<br />
</td>
    </tr>
    <tr>
        <td>termite<br />
</td>
        <td>37252902984619140625000000000 / 37252879910233655318543787489<br />
</td>
        <td>| 9 -28 37 -18 &gt;<br />
</td>
        <td>0.001072<br />
</td>
    </tr>
    <tr>
        <td>neutrino<br />
</td>
        <td><br />
</td>
        <td>| 1889 -2145 138 424 &gt;<br />
</td>
        <td>1.636 * 10^-10<br />
</td>
    </tr>
</table>

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

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">cycle</span><span style="font-size: 13px; line-height: 1.5;"> neutral third, pentadecatone comma</span><br />
</td>
        <td>161051 / 131072<br />
</td>
        <td>| -17 0 0 0 5 &gt;<br />
</td>
        <td>356.950<br />
</td>
    </tr>
    <tr>
        <td>11-cycle subminor third<br />
</td>
        <td>19487171 / 16777216<br />
</td>
        <td>| -24 0 0 0 7 &gt;<br />
</td>
        <td>259.226<br />
</td>
    </tr>
    <tr>
        <td>11-cycle <span style="font-size: 12.8000001907349px;">enipucrop/</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">neutral second</span><br />
</td>
        <td>2357947691 / 2147483648<br />
</td>
        <td>| -31 0 0 0 9 &gt;<br />
</td>
        <td>161.8615<br />
</td>
    </tr>
    <tr>
        <td>11-cycle chroma<br />
</td>
        <td><br />
</td>
        <td>| -38 0 0 0 11 &gt;<br />
</td>
        <td>64.497<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>| 45 0 0 0 -13 &gt;<br />
</td>
        <td>32.867<br />
</td>
    </tr>
    <tr>
        <td>11-cycle trienthird<br />
</td>
        <td><br />
</td>
        <td>| 52 0 0 0 -15 &gt;<br />
</td>
        <td>130.231<br />
</td>
    </tr>
    <tr>
        <td>11-cycle supermajor second<br />
</td>
        <td><br />
</td>
        <td>| 59 0 0 0 -17 &gt;<br />
</td>
        <td>227.595<br />
</td>
    </tr>
    <tr>
        <td>11-cycle Orgone third<br />
</td>
        <td><br />
</td>
        <td>| 66 0 0 0 -19 &gt;<br />
</td>
        <td>324.959<br />
</td>
    </tr>
    <tr>
        <td>11-cycle supermajor third<br />
</td>
        <td><br />
</td>
        <td>| 73 0 0 0 -21 &gt;<br />
</td>
        <td>422.323<br />
</td>
    </tr>
    <tr>
        <td>11-cycle acute fourth<br />
</td>
        <td><br />
</td>
        <td>| 80 0 0 0 -23 &gt;<br />
</td>
        <td>519.687<br />
</td>
    </tr>
    <tr>
        <td>11-cycle large diesis<br />
</td>
        <td><br />
</td>
        <td>| -173 0 0 0 50 &gt;<br />
</td>
        <td>34.103<br />
</td>
    </tr>
    <tr>
        <td>11-cycle perfect fourth<br />
</td>
        <td><br />
</td>
        <td>| -93 0 0 0 27 &gt;<br />
</td>
        <td>485.584<br />
</td>
    </tr>
    <tr>
        <td>11-cycle major third, tricentenary comma<br />
</td>
        <td><br />
</td>
        <td>| -100 0 0 0 29 &gt;<br />
</td>
        <td>388.220<br />
</td>
    </tr>
    <tr>
        <td>dominant #11 comma, 11-cycle acute subminor third<br />
</td>
        <td><br />
</td>
        <td>| -107 0 0 0 31 &gt;<br />
</td>
        <td>290.856<br />
</td>
    </tr>
    <tr>
        <td>11-cycle meantone<br />
</td>
        <td><br />
</td>
        <td>| -114 0 0 0 33 &gt;<br />
</td>
        <td>193.492<br />
</td>
    </tr>
    <tr>
        <td>11-cycle diatonic semitone<br />
</td>
        <td><br />
</td>
        <td>| -121 0 0 0 35 &gt;<br />
</td>
        <td>96.128<br />
</td>
    </tr>
    <tr>
        <td>11-cycle negative schisma<br />
</td>
        <td><br />
</td>
        <td>| -128 0 0 0 37 &gt;<br />
</td>
        <td>-1.236<br />
</td>
    </tr>
    <tr>
        <td>11-cycle negative semitone<br />
</td>
        <td><br />
</td>
        <td>| -135 0 0 0 39 &gt;<br />
</td>
        <td>-98.600<br />
</td>
    </tr>
    <tr>
        <td>11-cycle negative meantone<br />
</td>
        <td><br />
</td>
        <td>| -142 0 0 0 41 &gt;<br />
</td>
        <td>-195.964<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-cycle negative acute subminor third</span><br />
</td>
        <td><br />
</td>
        <td>| -149 0 0 0 43 &gt;<br />
</td>
        <td>-293.3285<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-cycle negative major third</span><br />
</td>
        <td><br />
</td>
        <td>| -156 0 0 0 45 &gt;<br />
</td>
        <td>-390.693<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-cycle negative perfect fourth</span><br />
</td>
        <td><br />
</td>
        <td>| -163 0 0 0 47 &gt;<br />
</td>
        <td>-488.057<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-cycle small comma</span><br />
</td>
        <td><br />
</td>
        <td>| -339 0 0 0 98 &gt;<br />
</td>
        <td>29.158<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-cycle negative acute fourth</span><br />
</td>
        <td><br />
</td>
        <td>| 176 0 0 0 -51 &gt;<br />
</td>
        <td>-517.215<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">11-cycle negative supermajor third</span><br />
</td>
        <td><br />
</td>
        <td>| 183 0 0 0 -53 &gt;<br />
</td>
        <td>-419.851<br />
</td>
    </tr>
    <tr>
        <td>Hunt 11-cycle comma<br />
</td>
        <td><br />
</td>
        <td>| -83 0 0 0 24 &gt;<br />
</td>
        <td>31.631<br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">thuja integer cents comma</span><br />
</td>
        <td><br />
</td>
        <td>| -4151 0 0 0 1200 &gt;<br />
</td>
        <td>381.531<br />
</td>
    </tr>
    <tr>
        <td>sterno<br />
</td>
        <td>352 / 343<br />
</td>
        <td>| 5 0 0 -3 1 &gt;<br />
</td>
        <td>44.840<br />
</td>
    </tr>
    <tr>
        <td>the Igs boson<br />
</td>
        <td>35184372088832 / 34522712143931<br />
</td>
        <td>| 45 0 0 0 -13 &gt;<br />
</td>
        <td>32.867<br />
</td>
    </tr>
    <tr>
        <td>telepathma<br />
</td>
        <td>55 / 54<br />
</td>
        <td>| -1 -3 1 0 1 &gt;<br />
</td>
        <td>31.767<br />
</td>
    </tr>
    <tr>
        <td>thuja comma<br />
</td>
        <td>163840 / 161051<br />
</td>
        <td>| 15 0 1 0 -5 &gt;<br />
</td>
        <td>29.724<br />
</td>
    </tr>
    <tr>
        <td>sensmus<br />
</td>
        <td>1232 / 1215<br />
</td>
        <td>| 4 -5 -1 1 1 &gt;<br />
</td>
        <td>24.055<br />
</td>
    </tr>
    <tr>
        <td>sevnothrush<br />
</td>
        <td>3168 / 3125<br />
</td>
        <td>| 5 2 -5 0 1 &gt;<br />
</td>
        <td>23.659<br />
</td>
    </tr>
    <tr>
        <td>cassacot<br />
</td>
        <td>245 / 242<br />
</td>
        <td>| -1 0 1 2 -2 &gt;<br />
</td>
        <td>21.330<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a><br />
</td>
        <td>99 / 98<br />
</td>
        <td>| -1 2 0 -2 1 &gt;<br />
</td>
        <td>17.576<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a><br />
</td>
        <td><a class="wiki_link" href="/100_99">100 / 99</a><br />
</td>
        <td>| 2 -2 2 0 -1 &gt;<br />
</td>
        <td>17.399<br />
</td>
    </tr>
    <tr>
        <td>hemimin<br />
</td>
        <td>1344 / 1331<br />
</td>
        <td>| 6 1 0 1 -3 &gt;<br />
</td>
        <td>16.827<br />
</td>
    </tr>
    <tr>
        <td>biyatisma<br />
</td>
        <td>121 / 120<br />
</td>
        <td>| -3 -1 -1 0 2 &gt;<br />
</td>
        <td>14.367<br />
</td>
    </tr>
    <tr>
        <td>aphrowe<br />
</td>
        <td>1331 / 1323<br />
</td>
        <td>| 0 -3 0 -2 3 &gt;<br />
</td>
        <td>10.437<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a><br />
</td>
        <td>176 / 175<br />
</td>
        <td>| 4 0 -2 -1 1 &gt;<br />
</td>
        <td>9.865<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/pentacircle%20comma">pentacircle</a><br />
</td>
        <td>896 / 891<br />
</td>
        <td>| 7 -4 0 1 -1 &gt;<br />
</td>
        <td>9.688<br />
</td>
    </tr>
    <tr>
        <td>orgonisma<br />
</td>
        <td>65536 / 65219<br />
</td>
        <td>| 16 0 0 -2 -3 &gt;<br />
</td>
        <td>8.394<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/rastmic%20chords">rastma</a><br />
</td>
        <td>243 / 242<br />
</td>
        <td>| -1 5 0 0 -2 &gt;<br />
</td>
        <td>7.139<br />
</td>
    </tr>
    <tr>
        <td>myhemiwell<br />
</td>
        <td>3388 / 3375<br />
</td>
        <td>| 2 -3 -3 1 2 &gt;<br />
</td>
        <td>6.656<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/keenanismic%20chords">keenanisma</a><br />
</td>
        <td><a class="wiki_link" href="/385_384">385 / 384</a><br />
</td>
        <td>| -7 -1 1 1 1 &gt;<br />
</td>
        <td>4.503<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/werckismic%20chords">werckisma</a><br />
</td>
        <td>441 / 440<br />
</td>
        <td>| -3 2 -1 2 -1 &gt;<br />
</td>
        <td>3.930<br />
</td>
    </tr>
    <tr>
        <td>moctdel<br />
</td>
        <td>1375 / 1372<br />
</td>
        <td>| -2 0 3 -3 1 &gt;<br />
</td>
        <td>3.781<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/swetismic%20chords">swetisma</a><br />
</td>
        <td>540 / 539<br />
</td>
        <td>| 2 3 1 -2 -1 &gt;<br />
</td>
        <td>3.209<br />
</td>
    </tr>
    <tr>
        <td>wizardharry<br />
</td>
        <td>4000 / 3993<br />
</td>
        <td>| 5 -1 3 0 -3 &gt;<br />
</td>
        <td>3.032<br />
</td>
    </tr>
    <tr>
        <td>vishdel<br />
</td>
        <td>5632 / 5625<br />
</td>
        <td>| 9 -2 -4 0 1 &gt;<br />
</td>
        <td>2.153<br />
</td>
    </tr>
    <tr>
        <td>sesdecal<br />
</td>
        <td>234375 / 234256<br />
</td>
        <td>| -4 1 7 0 -4 &gt;<br />
</td>
        <td>0.879<br />
</td>
    </tr>
    <tr>
        <td>hemigail<br />
</td>
        <td>43923 / 43904<br />
</td>
        <td>| -7 1 0 -3 4 &gt;<br />
</td>
        <td>0.749<br />
</td>
    </tr>
    <tr>
        <td>lehmerisma<br />
</td>
        <td>3025 / 3024<br />
</td>
        <td>| -4 -3 2 -1 2 &gt;<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 &gt;<br />
</td>
        <td>0.177<br />
</td>
    </tr>
    <tr>
        <td>odiheim<br />
</td>
        <td>151263 / 151250<br />
</td>
        <td>| -1 2 -4 5 -2 &gt;<br />
</td>
        <td>0.149<br />
</td>
    </tr>
    <tr>
        <td>parimo<br />
</td>
        <td>1771561 / 1771470<br />
</td>
        <td>| -1 -11 -1 0 6 &gt;<br />
</td>
        <td>0.089<br />
</td>
    </tr>
    <tr>
        <td>ultimo<br />
</td>
        <td>3294225 / 3294172<br />
</td>
        <td>| -2 2 2 -7 4 &gt;<br />
</td>
        <td>0.028<br />
</td>
    </tr>
</table>

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

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>astbury<br />
</td>
        <td>4826809 / 4718592<br />
</td>
        <td>| -19 -2 0 0 0 6 &gt;<br />
</td>
        <td>39.255<br />
</td>
    </tr>
    <tr>
        <td>wilsorma<br />
</td>
        <td>65 / 64<br />
</td>
        <td>| -6 0 1 0 0 1 &gt;<br />
</td>
        <td>26.841<br />
</td>
    </tr>
    <tr>
        <td>winmeanma<br />
</td>
        <td>66 / 65<br />
</td>
        <td>| 1 1 -1 0 1 -1 &gt;<br />
</td>
        <td>26.432<br />
</td>
    </tr>
    <tr>
        <td>negustma<br />
</td>
        <td>78 / 77<br />
</td>
        <td>| 1 1 0 -1 -1 1 &gt;<br />
</td>
        <td>22.229<br />
</td>
    </tr>
    <tr>
        <td>superleap<br />
</td>
        <td>91 / 90<br />
</td>
        <td>| -1 -2 -1 1 0 1 &gt;<br />
</td>
        <td>19.130<br />
</td>
    </tr>
    <tr>
        <td>animist<br />
</td>
        <td>105 / 104<br />
</td>
        <td>| -3 1 1 1 0 1 &gt;<br />
</td>
        <td>16.567<br />
</td>
    </tr>
    <tr>
        <td>secorian<br />
</td>
        <td>28672 / 28431<br />
</td>
        <td>| 12 -7 0 1 0 -1 &gt;<br />
</td>
        <td>14.613<br />
</td>
    </tr>
    <tr>
        <td>gassorma<br />
</td>
        <td>275 / 273<br />
</td>
        <td>| 0 -1 2 -1 1 -1 &gt;<br />
</td>
        <td>12.637<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/grossma">grossma</a><br />
</td>
        <td>144 / 143<br />
</td>
        <td>| 4 2 0 0 -1 -1 &gt;<br />
</td>
        <td>12.064<br />
</td>
    </tr>
    <tr>
        <td>buzurgisma, dhanvantarisma<br />
</td>
        <td>169 / 168<br />
</td>
        <td>| -3 -1 0 -1 0 2 &gt;<br />
</td>
        <td>10.274<br />
</td>
    </tr>
    <tr>
        <td>catadictma<br />
</td>
        <td>1287 / 1280<br />
</td>
        <td>| -8 2 -1 0 1 1 &gt;<br />
</td>
        <td>9.442<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/mynucumic%20chords">mynucuma</a><br />
</td>
        <td>196 / 195<br />
</td>
        <td>| 2 -1 -1 2 0 -1 &gt;<br />
</td>
        <td>8.855<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/huntmic%20chords">huntma</a><br />
</td>
        <td>640 / 637<br />
</td>
        <td>| 7 0 1 -2 0 -1 &gt;<br />
</td>
        <td>8.134<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/threedie">threedie</a><br />
</td>
        <td>2197 / 2187<br />
</td>
        <td>| 0 -7 0 0 0 3 &gt;<br />
</td>
        <td>7.897<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/kestrel%20chords">kestrel comma</a><br />
</td>
        <td>1188 / 1183<br />
</td>
        <td>| 2 3 0 -1 1 -2 &gt;<br />
</td>
        <td>7.302<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/marveltwin">marveltwin</a><br />
</td>
        <td>325 / 324<br />
</td>
        <td>| -2 -4 2 0 0 1 &gt;<br />
</td>
        <td>5.335<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a><br />
</td>
        <td>351 / 350<br />
</td>
        <td>| -1 3 -2 -1 0 1 &gt;<br />
</td>
        <td>4.939<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/minthmic%20chords">minthma</a><br />
</td>
        <td>352 / 351<br />
</td>
        <td>| 5 -3 0 0 1 -1 &gt;<br />
</td>
        <td>4.925<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/gentle%20chords">gentle comma</a><br />
</td>
        <td>364 / 363<br />
</td>
        <td>| 2 -1 0 1 -2 1 &gt;<br />
</td>
        <td>4.763<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/cuthbert%20triad">cuthbert</a><br />
</td>
        <td>847 / 845<br />
</td>
        <td>| 0 0 -1 1 2 -2 &gt;<br />
</td>
        <td>4.093<br />
</td>
    </tr>
    <tr>
        <td>tunbarsma<br />
</td>
        <td>625 / 624<br />
</td>
        <td>| -4 -1 4 0 0 -1 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<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 &gt;<br />
</td>
        <td>0.014<br />
</td>
    </tr>
</table>

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

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>xenisma<br />
</td>
        <td>2058 / 2057<br />
</td>
        <td>| 1 1 0 3 -2 0 -1 &gt;<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 &gt;<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 &gt;<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 &gt;<br />
</td>
        <td>0.009<br />
</td>
    </tr>
</table>

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

<table class="wiki_table">
    <tr>
        <th>name(s)<br />
</th>
        <th>ratio<br />
</th>
        <th>monzo<br />
</th>
        <th>cents<br />
</th>
    </tr>
    <tr>
        <td>spleen comma<br />
</td>
        <td>210 / 209<br />
</td>
        <td>| 1 1 1 1 -1 0 0 -1 &gt;<br />
</td>
        <td>8.264<br />
</td>
    </tr>
    <tr>
        <td>go comma<br />
</td>
        <td>361 / 360<br />
</td>
        <td>| -6 -1 0 0 0 0 0 2 &gt;<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&gt;<br />
</td>
        <td>0.010<br />
</td>
    </tr>
</table>

<br />
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@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-01-17 23:23:52 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-01-18 14:32:07 UTC</tt>.<br>
-: The original revision id was <tt>537690674</tt>.<br>
+: The original revision id was <tt>537722006</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>
@@ Line 116: / Line 116: @@
 || raider ||   || | 71 -99 37 &gt; || 0.062 ||
 || pirate ||   || | -90 -15 49 &gt; || 0.047 ||
-|| viking ||   || |-251 69 61&gt; || 0.032 ||
+|| viking ||   || | -251 69 61 &gt; || 0.032 ||
 || atom ||   || | 161 -84 -12 &gt; || 0.015 ||
-|| selenia ||   || |-433 -137 280&gt; || 0.004764 ||
+|| selenia ||   || | -433 -137 280 &gt; || 0.004764 ||
-|| titania ||   || |2746 -521 -827&gt; || 0.003183 ||
+|| titania ||   || | 2746 -521 -827 &gt; || 0.003183 ||
-|| quark ||   || |-537 237 85&gt; || 0.000884 ||
+|| quark ||   || | -537 237 85 &gt; || 0.000884 ||
-|| rover ||   || |1634 1502 -1729&gt; || 0.000028 ||
+|| rover ||   || | 1634 1502 -1729 &gt; || 0.000028 ||
-|| rascal ||   || |-7470 2791 1312&gt; || 0.000006 ||
+|| rascal ||   || |-7470 2791 1312 &gt; || 0.000006 ||
 ==7-limit commas==
@@ Line 190: / Line 190: @@
 ==11-limit commas==
 ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
-|| obtuse undecimal neutral third, exaggerated pentadecatone comma || 161051 / 131072 || | -17 0 0 0 5 &gt; || 356.950 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 1.5;"&gt;cycle&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; neutral third, pentadecatone comma&lt;/span&gt; || 161051 / 131072 || | -17 0 0 0 5 &gt; || 356.950 ||
-|| obtuse undecimal subminor third || 19487171 / 16777216 || | -24 0 0 0 7 &gt; || 259.226 ||
+|| 11-cycle subminor third || 19487171 / 16777216 || | -24 0 0 0 7 &gt; || 259.226 ||
-|| obtuse undecimal neutral second, 11-cycle &lt;span style="font-size: 12.8000001907349px;"&gt;enipucrop&lt;/span&gt; || 2357947691 / 2147483648 || | -31 0 0 0 9 &gt; || 161.8615 ||
+|| 11-cycle &lt;span style="font-size: 12.8000001907349px;"&gt;enipucrop/&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 1.5;"&gt;neutral second&lt;/span&gt; || 2357947691 / 2147483648 || | -31 0 0 0 9 &gt; || 161.8615 ||
 || 11-cycle chroma ||   || | -38 0 0 0 11 &gt; || 64.497 ||
 ||   ||   || | 45 0 0 0 -13 &gt; || 32.867 ||
-||   ||   || | 52 0 0 0 -15 &gt; || 130.231 ||
+|| 11-cycle trienthird ||   || | 52 0 0 0 -15 &gt; || 130.231 ||
+|| 11-cycle supermajor second ||   || | 59 0 0 0 -17 &gt; || 227.595 ||
+|| 11-cycle Orgone third ||   || | 66 0 0 0 -19 &gt; || 324.959 ||
+|| 11-cycle supermajor third ||   || | 73 0 0 0 -21 &gt; || 422.323 ||
+|| 11-cycle acute fourth ||   || | 80 0 0 0 -23 &gt; || 519.687 ||
+|| 11-cycle large diesis ||   || | -173 0 0 0 50 &gt; || 34.103 ||
+|| 11-cycle perfect fourth ||   || | -93 0 0 0 27 &gt; || 485.584 ||
+|| 11-cycle major third, tricentenary comma ||   || | -100 0 0 0 29 &gt; || 388.220 ||
+|| dominant #11 comma, 11-cycle acute subminor third ||   || | -107 0 0 0 31 &gt; || 290.856 ||
+|| 11-cycle meantone ||   || | -114 0 0 0 33 &gt; || 193.492 ||
+|| 11-cycle diatonic semitone ||   || | -121 0 0 0 35 &gt; || 96.128 ||
+|| 11-cycle negative schisma ||   || | -128 0 0 0 37 &gt; || -1.236 ||
+|| 11-cycle negative semitone ||   || | -135 0 0 0 39 &gt; || -98.600 ||
+|| 11-cycle negative meantone ||   || | -142 0 0 0 41 &gt; || -195.964 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative acute subminor third&lt;/span&gt; ||   || | -149 0 0 0 43 &gt; || -293.3285 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative major third&lt;/span&gt; ||   || | -156 0 0 0 45 &gt; || -390.693 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative perfect fourth&lt;/span&gt; ||   || | -163 0 0 0 47 &gt; || -488.057 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle small comma&lt;/span&gt; ||   || | -339 0 0 0 98 &gt; || 29.158 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative acute fourth&lt;/span&gt; ||   || | 176 0 0 0 -51 &gt; || -517.215 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative supermajor third&lt;/span&gt; ||   || | 183 0 0 0 -53 &gt; || -419.851 ||
+|| Hunt 11-cycle comma ||   || | -83 0 0 0 24 &gt; || 31.631 ||
+|| &lt;span style="font-size: 12.8000001907349px;"&gt;thuja integer cents comma&lt;/span&gt; ||   || | -4151 0 0 0 1200 &gt; || 381.531 ||
 || sterno || 352 / 343 || | 5 0 0 -3 1 &gt; || 44.840 ||
 || the Igs boson || 35184372088832 / 34522712143931 || | 45 0 0 0 -13 &gt; || 32.867 ||
@@ Line 1,311: / Line 1,332: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|-251 69 61&amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -251 69 61 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0.032&lt;br /&gt;
@@ Line 1,331: / Line 1,352: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|-433 -137 280&amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -433 -137 280 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0.004764&lt;br /&gt;
@@ Line 1,341: / Line 1,362: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|2746 -521 -827&amp;gt;&lt;br /&gt;
+         &lt;td&gt;| 2746 -521 -827 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0.003183&lt;br /&gt;
@@ Line 1,351: / Line 1,372: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|-537 237 85&amp;gt;&lt;br /&gt;
+         &lt;td&gt;| -537 237 85 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0.000884&lt;br /&gt;
@@ Line 1,361: / Line 1,382: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|1634 1502 -1729&amp;gt;&lt;br /&gt;
+         &lt;td&gt;| 1634 1502 -1729 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0.000028&lt;br /&gt;
@@ Line 1,371: / Line 1,392: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|-7470 2791 1312&amp;gt;&lt;br /&gt;
+         &lt;td&gt;|-7470 2791 1312 &amp;gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0.000006&lt;br /&gt;
@@ Line 2,012: / Line 2,033: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;obtuse undecimal neutral third, exaggerated pentadecatone comma&lt;br /&gt;
+         &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 1.5;"&gt;cycle&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; neutral third, pentadecatone comma&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;161051 / 131072&lt;br /&gt;
@@ Line 2,022: / Line 2,043: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;obtuse undecimal subminor third&lt;br /&gt;
+         &lt;td&gt;11-cycle subminor third&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;19487171 / 16777216&lt;br /&gt;
@@ Line 2,032: / Line 2,053: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;obtuse undecimal neutral second, 11-cycle &lt;span style="font-size: 12.8000001907349px;"&gt;enipucrop&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;11-cycle &lt;span style="font-size: 12.8000001907349px;"&gt;enipucrop/&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 1.5;"&gt;neutral second&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;2357947691 / 2147483648&lt;br /&gt;
@@ Line 2,062: / Line 2,083: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;11-cycle trienthird&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 2,069: / Line 2,090: @@
 &lt;/td&gt;
          &lt;td&gt;130.231&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle supermajor second&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| 59 0 0 0 -17 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;227.595&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle Orgone third&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| 66 0 0 0 -19 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;324.959&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle supermajor third&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| 73 0 0 0 -21 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;422.323&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle acute fourth&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| 80 0 0 0 -23 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;519.687&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle large diesis&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -173 0 0 0 50 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;34.103&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle perfect fourth&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -93 0 0 0 27 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;485.584&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle major third, tricentenary comma&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -100 0 0 0 29 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;388.220&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;dominant #11 comma, 11-cycle acute subminor third&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -107 0 0 0 31 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;290.856&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle meantone&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -114 0 0 0 33 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;193.492&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle diatonic semitone&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;11-cycle negative schisma&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -128 0 0 0 37 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-1.236&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle negative semitone&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -135 0 0 0 39 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-98.600&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11-cycle negative meantone&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -142 0 0 0 41 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-195.964&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative acute subminor third&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -149 0 0 0 43 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-293.3285&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative major third&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -156 0 0 0 45 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-390.693&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative perfect fourth&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -163 0 0 0 47 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-488.057&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle small comma&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -339 0 0 0 98 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;29.158&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative acute fourth&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| 176 0 0 0 -51 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-517.215&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;11-cycle negative supermajor third&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| 183 0 0 0 -53 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;-419.851&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;&lt;span style="font-size: 12.8000001907349px;"&gt;thuja integer cents comma&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;| -4151 0 0 0 1200 &amp;gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;381.531&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

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