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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''small comma''' is a [[comma]] whose size is approximately between 3.5 and 30 cents. These intervals are in the range from just noticeable up to usable as melodic steps. The actual perception of course varies. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-01-17 23:23:52 UTC</tt>.<br>
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| : The original revision id was <tt>537690674</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Definition=
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| 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.
| | For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas under 3.5 cents in size, see [[Unnoticeable comma]]. |
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| =List of commas, by prime limit=
| | Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[Xenharmonic Wiki: Conventions|convention]] elsewhere on the wiki. |
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| ==3-limit commas==
| | The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler. |
| ||~ 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 ||
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| || Pythagorean Integer cents comma || || | 317 -200 > || 9.000 ||
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| ==5-limit commas== | | == List of commas, by prime limit == |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| | === 3-limit commas === |
| || <span style="font-size: 12.8000001907349px;">pental </span>grave minor third, major heptathird comma || 78125 / 65535 || | -16 0 7 > || 304.196 ||
| | {{See also| Table of 3-limit commas }} |
| || <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 ||
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| || 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 ||
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| || major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 ||
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| || 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 ||
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| || fifive || 9765625 / 9565938 || | -1 -14 10 > || 35.767 ||
| |
| || unicorn || 1594323 / 1562500 || | -2 13 -8 > || 34.905 ||
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| || valensixthtone || 1990656 / 1953125 || | 13 5 -9 > || 32.952 ||
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| || [[ampersand]], Ampersand's comma || 34171875 / 33554432 || | -25 7 6 > || 31.567 ||
| |
| || small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 > || 29.614 ||
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| || 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 ||
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| || [[misty comma]] || 67108864 / 66430125 || | 26 -12 -3 > || 17.599 ||
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| || [[graviton]], [[Gravity family|gravity]] comma || 129140163 / 128000000 || | -13 17 -6 > || 15.353 ||
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| || quartonic || 390625000 / 387420489 || | 3 -18 11 > || 14.261 ||
| |
| || medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 ||
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| || [[Würschmidt comma]] || 393216 / 390625 || | 17 1 -8 > || 11.445 ||
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| || [[semicomma]], Fokker comma || 2109375 / 2097152 || | -21 3 7 > || 10.061 ||
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| || [[escapade comma]] || || | 32 -7 -9 > || 9.492 ||
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| || [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 ||
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| || unidecma || 31381059609 / 31250000000 || | -7 22 -12 > || 7.245 ||
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| || [[mutt comma]] || || | -44 -3 21 > || 6.723 ||
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| || [[amity comma]] || 1600000 / 1594323 || | 9 -13 5 > || 6.154 ||
| |
| || [[parakleisma]] || || | 8 14 -13 > || 5.292 ||
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| || gammic comma || || | -29 -11 20 > || 4.769 ||
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| || [[vulture comma]] || || | 24 -21 4 > || 4.200 ||
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| || rubidia || || |-67 -9 35> || 3.385 ||
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| || [[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 ||
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| || minortone comma || || | -16 35 -17 > || 1.092 ||
| |
| || [[Ennealimmal|ennealimma]] || 7629394531250 / 7625597484987 || | 1 -27 18 > || 0.862 ||
| |
| || astro || || | 91 -12 -31 > || 0.815 ||
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| || kwazy || || | -53 10 16 > || 0.569 ||
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| || whoosh || || | 37 25 -33 > || 0.522 ||
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| || egads || || | -36 -52 51 > || 0.339 ||
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| || monzisma || || | 54 -37 2 > || 0.292 ||
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| || fortune || || | -107 47 14 > || 0.277 ||
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| || gross || || | 144 -22 -47 > || 0.245 ||
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| || senior || || | -17 62 -35 > || 0.230 ||
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| || raider || || | 71 -99 37 > || 0.062 ||
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| || pirate || || | -90 -15 49 > || 0.047 ||
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| || viking || || |-251 69 61> || 0.032 ||
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| || atom || || | 161 -84 -12 > || 0.015 ||
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| || selenia || || |-433 -137 280> || 0.004764 ||
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| || titania || || |2746 -521 -827> || 0.003183 ||
| |
| || quark || || |-537 237 85> || 0.000884 ||
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| || rover || || |1634 1502 -1729> || 0.000028 ||
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| || rascal || || |-7470 2791 1312> || 0.000006 ||
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| ==7-limit commas== | | {| class="wikitable" |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| | ! Name(s) |
| || hexatone comma || 131072 / 117649 || | 17 0 0 -6 > || 187.045 || | | ! colspan="2" |[[Color notation/Temperament names|Color name]] |
| || major hendecatone comma || 2147483648 / 1977326743 || | 31 0 0 -11 > || 142.915 || | | ! [[Ratio]] |
| || <span style="font-size: 12.8000001907349px;">hexadecatone comma</span> || || | 45 0 0 -16 > || 98.7855 || | | ! [[Monzo]] |
| || || || | 59 0 0 -21 > || 54.656 || | | ! [[Cents]] |
| || Hunt 7-cycle comma || || | 73 0 0 -26 > || 10.526 || | | ! Named by |
| || German sixth comma || || | -87 0 0 31 > || 33.603 ||
| | |- |
| || || || | -101 0 0 36 > || 77.737 || | | | 241-comma |
| || || || | -115 0 0 41 > || 121.862 || | | | Wa-241 |
| || || || | 159 0 0 -53 > || 252.227 ||
| | | w-241 |
| || slendro integer cents comma || || | 1127 0 0 -400 > || 69.637 || | | | |
| || greenwoodma || 405 / 392 || | -3 4 1 -2 > || 56.482 || | | | {{Monzo| 382 -241 }} |
| || Harrison's comma || 59049 / 57344 || | -13 10 0 -1 > || 50.724 ||
| | | 28.845 |
| || 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 || | | | 65-comma, <br>Pythagorean septimal comma |
| || avicennma, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 ||
| | | Wa-65 |
| || slendro diesis || [[49_48|49 / 48]] || | -4 -1 0 2 > || 35.597 ||
| | | w-65 |
| || tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 || | | | |
| || eric || 839808 / 823543 || | 7 8 0 -7 > || 33.859 || | | | {{Monzo| -103 65 }} |
| || senga || 686 / 675 || | 1 -3 -2 3 > || 27.985 || | | | 27.075 |
| || 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 || | | | [[Pythagorean comma]] |
| || keema || 875 / 864 || | -5 -3 3 1 > || 21.902 || | | | Lalawa |
| || gariboh || 3125 / 3087 || | 0 -2 5 -3 > || 21.181 || | | | LLw-2 |
| || nuwell || 2430 / 2401 || | 1 5 1 -4 > || 20.785 ||
| | | 531441 / 524288 |
| || tolerma || 179200 / 177147 || | 10 -11 2 1 > || 19.948 || | | | {{Monzo| -19 12 }} |
| || mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 ||
| | | 23.460 |
| || 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 ||
| | | [[41-comma]], Pythagorean countercomma, <br>countercomp comma |
| || octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 || | | | Wa-41 |
| || orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 || | | | w-41 |
| || quince || 823543 / 819200 || | -15 0 -2 7 > || 9.154 || | | | <abbr title="36893488147419103232 / 36472996377170786403">(40 digits)</abbr> |
| || gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 || | | | {{Monzo| 65 -41 }} |
| || varunisma || 321489 / 320000 || | -9 8 -4 2 > || 8.037 ||
| | | 19.845 |
| || septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 > || 7.712 || | | | [[Flora Canou]] (2022) |
| || dimcomp || 390625 / 388962 || | -1 -4 8 -4 > || 7.386 || | | |- |
| || cataharry || 19683 / 19600 || | -4 9 -2 -2 > || 7.316 || | | | [[94-comma]], garistearn comma |
| || mirkwai || 16875 / 16807 || | 0 3 4 -5 > || 6.990 ||
| | | Wa-94 |
| || stearnsma || 118098 / 117649 || | 1 10 0 -6 > || 6.595 || | | | w-94 |
| || hemimage || 10976 / 10935 || | 5 -7 -1 3 > || 6.479 || | | | |
| || hemimean || 3136 / 3125 || | 6 0 -5 2 > || 6.083 ||
| | | {{Monzo| 149 -94 }} |
| || hemifamity || 5120 / 5103 || | 10 -6 1 -1 > || 5.758 || | | | 16.230 |
| || linus || 578509309952 / 576650390625 || | 11 -10 -10 10 > || 5.572 || | | | [[User:Xenllium|Xenllium]] (2021) |
| || porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 || | | |- |
| || garischisma || 33554432 / 33480783 || | 25 -14 0 -1 > || 3.804 || | | | 147-comma |
| || wadisma || 201768035 / 201326592 || | -26 -1 1 9 > || 3.792 ||
| | | Wa-147 |
| || quasiorwellisma || 29360128 / 29296875 || | 22 -1 -10 1 > || 3.734 || | | | w-147 |
| || horwell || 65625 / 65536 || | -16 1 5 1 > || 2.349 || | | | |
| || meter || 703125 / 702464 || | -11 2 7 -3 > || 1.628 ||
| | | {{Monzo| 233 -147 }} |
| || wizma || 420175 / 419904 || | -6 -8 2 5 > || 1.117 ||
| | | 12.615 |
| || 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 || | | | 200-comma, <br>Pythagorean integer-cent ET comma |
| || landscape || 250047 / 250000 || | -4 6 -6 3 > || 0.325 || | | | Wa-200 |
| || starscape || 645700815/645657712 || | -4 17 1 -9 > || 0.116 || | | | w-200 |
| || euzenius || 78125000/78121827 || | 3 -13 10 -2 > || 0.070 ||
| | | |
| || termite || 37252902984619140625000000000 / 37252879910233655318543787489 || | 9 -28 37 -18 > || 0.001072 ||
| | | {{Monzo| 317 -200 }} |
| || neutrino || || | 1889 -2145 138 424 > || 1.636 * 10^-10 || | | | 8.9998 |
| | | |
| | |- |
| | | 253-comma |
| | | Wa-253 |
| | | w-253 |
| | | |
| | | {{Monzo| 401 -253 }} |
| | | 5.3848 |
| | | |
| | |- |
| | | [[Mercator's comma]], 53-comma |
| | | Wa-53 |
| | | w-53 |
| | | <abbr title="19383245667680019896796723 / 19342813113834066795298816">(52 digits)</abbr> |
| | | {{Monzo| -84 53 }} |
| | | 3.6150 |
| | | |
| | |} |
|
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|
| | === 5-limit commas === |
| | {{See also| Table of 5-limit commas }} |
|
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|
| ==11-limit commas== | | {| class="wikitable" |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | ! Name(s) |
| || obtuse undecimal neutral third, exaggerated pentadecatone comma || 161051 / 131072 || | -17 0 0 0 5 > || 356.950 || | | ! colspan="2" |[[Color notation/Temperament names|Color name]] |
| || obtuse undecimal subminor third || 19487171 / 16777216 || | -24 0 0 0 7 > || 259.226 || | | ! [[Ratio]] |
| || obtuse undecimal neutral second, 11-cycle <span style="font-size: 12.8000001907349px;">enipucrop</span> || 2357947691 / 2147483648 || | -31 0 0 0 9 > || 161.8615 || | | ! [[Monzo]] |
| || 11-cycle chroma || || | -38 0 0 0 11 > || 64.497 || | | ! [[Cents]] |
| || || || | 45 0 0 0 -13 > || 32.867 || | | ! Named by |
| || || || | 52 0 0 0 -15 > || 130.231 || | | |- |
| || sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 || | | | [[Magic comma]], small diesis |
| || the Igs boson || 35184372088832 / 34522712143931 || | 45 0 0 0 -13 > || 32.867 || | | | Laquinyo |
| || telepathma || 55 / 54 || | -1 -3 1 0 1 > || 31.767 || | | | L5y-2 |
| || thuja comma || 163840 / 161051 || | 15 0 1 0 -5 > || 29.724 || | | | 3125 / 3072 |
| || sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 || | | | {{Monzo| -10 -1 5 }} |
| || sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 || | | | 29.614 |
| || 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 || | | | [[Hendecatonic comma]] |
| || hemimin || 1344 / 1331 || | 6 1 0 1 -3 > || 16.827 || | | | Trisa-legu |
| || biyatisma || 121 / 120 || | -3 -1 -1 0 2 > || 14.367 || | | | 3s11g5 |
| || aphrowe || 1331 / 1323 || | 0 -3 0 -2 3 > || 10.437 || | | | 8796093022208 / 8649755859375 |
| || [[valinorsmic chords|valinorsma]] || 176 / 175 || | 4 0 -2 -1 1 > || 9.865 || | | | {{Monzo| 43 -11 -11 }} |
| || [[pentacircle comma|pentacircle]] || 896 / 891 || | 7 -4 0 1 -1 > || 9.688 || | | | 29.044 |
| || 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 || | | | [[Tetracot comma]], minimal diesis |
| || [[keenanismic chords|keenanisma]] || [[385_384|385 / 384]] || | -7 -1 1 1 1 > || 4.503 || | | | Saquadyo |
| || [[werckismic chords|werckisma]] || 441 / 440 || | -3 2 -1 2 -1 > || 3.930 || | | | s4y1 |
| || moctdel || 1375 / 1372 || | -2 0 3 -3 1 > || 3.781 || | | | 20000 / 19683 |
| || [[swetismic chords|swetisma]] || 540 / 539 || | 2 3 1 -2 -1 > || 3.209 ||
| | | {{Monzo| 5 -9 4 }} |
| || wizardharry || 4000 / 3993 || | 5 -1 3 0 -3 > || 3.032 || | | | 27.660 |
| || 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 || | | | [[Semaja comma]] |
| || lehmerisma || 3025 / 3024 || | -4 -3 2 -1 2 > || 0.572 || | | | Lalaneyo |
| || kalisma, Gauss' comma || 9801 / 9800 || | -3 4 -2 -2 2 > || 0.177 || | | | LL19y-5 |
| || odiheim || 151263 / 151250 || | -1 2 -4 5 -2 > || 0.149 || | | | 19073486328125 / 18786186952704 |
| || parimo || 1771561 / 1771470 || | -1 -11 -1 0 6 > || 0.089 || | | | {{Monzo| -33 -7 19 }} |
| || ultimo || 3294225 / 3294172 || | -2 2 2 -7 4 > || 0.028 || | | | 26.276 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Quanic comma]] |
| | | Sepsa-quinyo |
| | | 7s5y5 |
| | | |
| | | {{Monzo| 74 -54 5 }} |
| | | 25.999 |
| | | |
| | |- |
| | | [[Roda]], rodan comma |
| | | Sasa-triyo |
| | | ss3y2 |
| | | 131072000 / 129140163 |
| | | {{Monzo| 20 -17 3 }} |
| | | 25.706 |
| | | |
| | |- |
| | | Gracecordial comma |
| | | Trilayo |
| | | 3Ly-3 |
| | | 17433922005 / 17179869184 |
| | | {{Monzo| -34 20 1 }} |
| | | 25.414 |
| | | |
| | |- |
| | | [[Trisedodge comma]] |
| | | Saquintrigu |
| | | s15g4 |
| | | 30958682112 / 30517578125 |
| | | {{Monzo| 19 10 -15 }} |
| | | 24.844 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Birds comma]] |
| | | Quadsa-thiwegu |
| | | 4s31g9 |
| | | |
| | | {{Monzo| 72 0 -31 }} |
| | | 24.275 |
| | | |
| | |- |
| | | [[Neuk comma]] |
| | | Trisa-yoyo |
| | | 3syy3 |
| | | 858993459200 / 847288609443 |
| | | {{Monzo| 35 -25 2 }} |
| | | 23.752 |
| | | [[User:CompactStar|CompactStar]] (2023) |
| | |- |
| | | [[Maja comma]] |
| | | Saseyo |
| | | s17y-3 |
| | | 762939453125 / 753145430616 |
| | | {{Monzo| -3 -23 17 }} |
| | | 22.368 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Satin comma]] |
| | | Quinbisa-triyo |
| | | 10s3y7 |
| | | |
| | | {{Monzo| 104 -70 3 }} |
| | | 22.091 |
| | | |
| | |- |
| | | [[Misneb comma]] |
| | | Quadla-quintriyo |
| | | 4L15y-6 |
| | | <abbr title="145964630126953125 / 144115188075855872">(36 digits)</abbr> |
| | | {{Monzo| -57 14 15 }} |
| | | 22.076 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Syntonic comma]], Didymus comma, meantone comma |
| | | Gu |
| | | g1 |
| | | 81 / 80 |
| | | {{Monzo| -4 4 -1 }} |
| | | 21.506 |
| | | |
| | |- |
| | | [[Maquila comma]] |
| | | Trisa-segu |
| | | 3s17g6 |
| | | 562949953421312 / 556182861328125 |
| | | {{Monzo| 49 -6 -17 }} |
| | | 20.937 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Sfourth comma]] |
| | | Lala-negu |
| | | LL19g3 |
| | | 617673396283947 / 610351562500000 |
| | | {{Monzo| -5 31 -19 }} |
| | | 20.644 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Diaschisma]] |
| | | Sagugu |
| | | sgg2 |
| | | 2048 / 2025 |
| | | {{Monzo| 11 -4 -2 }} |
| | | 19.553 |
| | | Hermann von Helmholtz, Alexander Ellis (1875) |
| | |- |
| | | [[Countermeantone comma]] |
| | | Quinquadgu |
| | | 20g4 |
| | | 96402615118848 / 95367431640625 |
| | | {{Monzo| 10 23 -20 }} |
| | | 18.691 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | [[Ditonma]] |
| | | Lala-theyo |
| | | LL13y-4 |
| | | 1220703125 / 1207959552 |
| | | {{Monzo| -27 -2 13 }} |
| | | 18.168 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Misty comma]] |
| | | Sasa-trigu |
| | | ss3g3 |
| | | 67108864 / 66430125 |
| | | {{Monzo| 26 -12 -3 }} |
| | | 17.599 |
| | | [[Paul Erlich]] (2002) |
| | |- |
| | | [[Quintile comma]] |
| | | Trila-quingu |
| | | 3L5g-2 |
| | | 847288609443 / 838860800000 |
| | | {{Monzo| -28 25 -5 }} |
| | | 17.306 |
| | | See the dedicated page. |
| | |- |
| | | [[Enneadecacot comma]] |
| | | Tribisa-negu |
| | | 6s19g8 |
| | | 562949953421312 / 557439598640741 |
| | | {{monzo| 79 -22 -19 }} |
| | | 17.029 |
| | | [[User:CompactStar|CompactStar]] (2024) |
| | |- |
| | | [[Oquatonic comma]] |
| | | Quadla-sepquadyo |
| | | 4L28y-8 |
| | | <abbr title="37252902984619140625 / 36893488147419103232">(40 digits)</abbr> |
| | | {{Monzo| -65 0 28 }} |
| | | 16.784 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Undim comma]] |
| | | Trisa-quadgu |
| | | 3s4g4 |
| | | 2199023255552 / 2179240250625 |
| | | {{Monzo| 41 -20 -4 }} |
| | | 15.645 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Graviton]], gravity comma |
| | | Lala-tribigu |
| | | LL6g1 |
| | | 129140163 / 128000000 |
| | | {{Monzo| -13 17 -6 }} |
| | | 15.353 |
| | | [[Mike Battaglia]] (2011) |
| | |- |
| | | [[Majvam comma]] |
| | | Sasa-lebigu |
| | | ss22g6 |
| | | <abbr title="2404631929946112 / 2384185791015625">(32 digits)</abbr> |
| | | {{Monzo| 40 7 -22 }} |
| | | 14.783 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Quartonic comma]] |
| | | Saleyo |
| | | s11y-2 |
| | | 390625000 / 387420489 |
| | | {{Monzo| 3 -18 11 }} |
| | | 14.261 |
| | | |
| | |- |
| | | [[Untritonic comma]] |
| | | Quadla-tritriyo |
| | | 4L9y-5 |
| | | <abbr title="2270041927734375 / 2251799813685248">(32 digits)</abbr> |
| | | {{Monzo| -51 19 9 }} |
| | | 13.968 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Quindromeda comma]] |
| | | Quinsa-quingu |
| | | 5s5g5 |
| | | <abbr title="72057594037927936 / 71489976421753125">(34 digits)</abbr> |
| | | {{Monzo| 56 -28 -5 }} |
| | | 13.691 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Sensipent comma]], medium semicomma |
| | | Sepgu |
| | | 7g2 |
| | | 78732 / 78125 |
| | | {{Monzo| 2 9 -7 }} |
| | | 13.399 |
| | | |
| | |- |
| | | [[Copper comma]] |
| | | Theneyo |
| | | 41L29y-33 |
| | | |
| | | {{Monzo| -481 261 29 }} |
| | | 13.353 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Counterwürschmidt comma]] |
| | | Trisa-twethegu |
| | | 3s23g7 |
| | | <abbr title="36028797018963968 / 35762786865234375">(34 digits)</abbr> |
| | | {{Monzo| 55 -1 -23 }} |
| | | 12.830 |
| | | [[Flora Canou]] (2023) |
| | |- |
| | | [[Tertiosec comma]] |
| | | Laquadtribiyo |
| | | 6L24y-9 |
| | | |
| | | {{Monzo| -89 21 24 }} |
| | | 12.584 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | [[Würschmidt comma]] |
| | | Saquadbigu |
| | | s8g3 |
| | | 393216 / 390625 |
| | | {{Monzo| 17 1 -8 }} |
| | | 11.445 |
| | | |
| | |- |
| | | [[Bicommatic comma]] |
| | | Quadla-quinbigu |
| | | 4L10g-2 |
| | | <abbr title="1350851717672992089 / 1342177280000000000">(38 digits)</abbr> |
| | | {{Monzo| -37 38 -10 }} |
| | | 11.153 |
| | | |
| | |- |
| | | [[Counterhanson comma]] |
| | | Quinquinyo |
| | | 25y-5 |
| | | <abbr title="298023223876953125 / 296148833645101056">(36 digits)</abbr> |
| | | {{Monzo| -20 -24 25 }} |
| | | 10.923 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | [[Countritonic comma]] |
| | | Quadsa-tritriyo |
| | | 4s9y2 |
| | | <abbr title="16777216000000000 / 16677181699666569">(34 digits)</abbr> |
| | | {{Monzo| 33 -34 9 }} |
| | | 10.353 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | [[Semicomma]], Fokker's comma |
| | | Lasepyo |
| | | L7y-3 |
| | | 2109375 / 2097152 |
| | | {{Monzo| -21 3 7 }} |
| | | 10.061 |
| | | |
| | |- |
| | | [[Heptacot comma]] |
| | | Sepsa-sepgu |
| | | 7s7g7 |
| | | |
| | | {{Monzo| 86 -44 -7 }} |
| | | 9.7840 |
| | | [[Tristan Bay]] (2024) |
| | |- |
| | | [[Escapade comma]] |
| | | Sasa-tritrigu |
| | | ss9g4 |
| | | 4294967296 / 4271484375 |
| | | {{Monzo| 32 -7 -9 }} |
| | | 9.4916 |
| | | [[Paul Erlich]] (2002) |
| | |- |
| | | [[15625/15552|Kleisma]], semicomma majeur |
| | | Tribiyo |
| | | 6y-2 |
| | | 15625 / 15552 |
| | | {{Monzo| -6 -5 6 }} |
| | | 8.1073 |
| | | {{W|Shohé Tanaka}} (1890) |
| | |- |
| | | [[Quintosec comma]] |
| | | Quadsa-quinbigu |
| | | 4s10g5 |
| | | 140737488355328 / 140126044921875 |
| | | {{Monzo| 47 -15 -10 }} |
| | | 7.5378 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | 59-5-comma |
| | | Quadbisa-finegu |
| | | 8s59g16 |
| | | |
| | | {{Monzo| 137 0 -59 }} |
| | | 7.4909 |
| | | |
| | |- |
| | | [[Unidecma]] |
| | | Laquadtrigu |
| | | L12g2 |
| | | 31381059609 / 31250000000 |
| | | {{Monzo| -7 22 -12 }} |
| | | 7.2455 |
| | | |
| | |- |
| | | [[Mutt comma]] |
| | | Trila-septriyo |
| | | 3L21y-6 |
| | | 476837158203125 / 474989023199232 |
| | | {{Monzo| -44 -3 21 }} |
| | | 6.7230 |
| | | [[Gene Ward Smith]] (2004) |
| | |- |
| | | [[Sulfur comma]] |
| | | Lela-quadquadgu |
| | | 11L16g-6 |
| | | |
| | | {{Monzo| -115 96 -16 }} |
| | | 6.6607 |
| | | |
| | |- |
| | | [[Amity comma]] |
| | | Saquinyo |
| | | s5y1 |
| | | 1600000 / 1594323 |
| | | {{Monzo| 9 -13 5 }} |
| | | 6.1536 |
| | | [[Gene Ward Smith]] (2001) |
| | |- |
| | | [[Parakleisma]] |
| | | Thegu |
| | | 13g3 |
| | | 1224440064 / 1220703125 |
| | | {{Monzo| 8 14 -13 }} |
| | | 5.2917 |
| | | [[Gene Ward Smith]] (2001) |
| | |- |
| | | [[Gammic comma]] |
| | | Laquinquadyo |
| | | L20y-5 |
| | | 95367431640625 / 95105071448064 |
| | | {{Monzo| -29 -11 20 }} |
| | | 4.7693 |
| | | |
| | |- |
| | | [[Squarschmidt comma]] |
| | | Quadsa-twenegu |
| | | 4s29g8 |
| | | <abbr title="186773283746309210112 / 186264514923095703125">(42 digits)</abbr> |
| | | {{Monzo| 61 4 -29 }} |
| | | 4.7223 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | Huntian 15-cycle comma |
| | | Quadtrisa-fothegu |
| | | 12s43g16 |
| | | |
| | | {{Monzo| 168 -43 -43 }} |
| | | 4.4453 |
| | | |
| | |- |
| | | [[Barium comma]] |
| | | Quadtribila-sepquadbigu |
| | | 24L56g-8 |
| | | |
| | | {{Monzo| -225 224 -56 }} |
| | | 4.3522 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Vulture comma]] |
| | | Sasa-quadyo |
| | | ss4y2 |
| | | 10485760000 / 10460353203 |
| | | {{Monzo| 24 -21 4 }} |
| | | 4.1998 |
| | | [[Paul Erlich]] (2002) |
| | |- |
| | | [[Dipromethia]] |
| | | Thebila-siweyo |
| | | 26L61y-28 |
| | | |
| | | {{Monzo| -335 122 61 }} |
| | | 3.6467 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Lafa comma]] |
| | | Tribisa-quadtrigu |
| | | 6s12g7 |
| | | |
| | | {{Monzo| 77 -31 -12 }} |
| | | 3.6304 |
| | | [[Petr Pařízek]] (2011) |
| | |} |
|
| |
|
| ==13-limit commas== | | === 7-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || astbury || 4826809 / 4718592 || | -19 -2 0 0 0 6 > || 39.255 || | | ! Name(s) |
| || wilsorma || 65 / 64 || | -6 0 1 0 0 1 > || 26.841 || | | ! colspan="2" | [[Color notation/Temperament names|Color name]] |
| || winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 > || 26.432 || | | ! [[Ratio]] |
| || negustma || 78 / 77 || | 1 1 0 -1 -1 1 > || 22.229 || | | ! [[Monzo]] |
| || superleap || 91 / 90 || | -1 -2 -1 1 0 1 > || 19.130 || | | ! [[Cents]] |
| || animist || 105 / 104 || | -3 1 1 1 0 1 > || 16.567 || | | ! Named by |
| || secorian || 28672 / 28431 || | 12 -7 0 1 0 -1 > || 14.613 || | | |- |
| || gassorma || 275 / 273 || | 0 -1 2 -1 1 -1 > || 12.637 || | | | [[3645/3584|Schismean comma]] |
| || [[grossma]] || 144 / 143 || | 4 2 0 0 -1 -1 > || 12.064 ||
| | | Laruyo |
| || buzurgisma, dhanvantarisma || 169 / 168 || | -3 -1 0 -1 0 2 > || 10.274 || | | | Lry-2 |
| || catadictma || 1287 / 1280 || | -8 2 -1 0 1 1 > || 9.442 || | | | 3645 / 3584 |
| || [[mynucumic chords|mynucuma]] || 196 / 195 || | 2 -1 -1 2 0 -1 > || 8.855 ||
| | | {{Monzo| -9 6 1 -1 }} |
| || [[huntmic chords|huntma]] || 640 / 637 || | 7 0 1 -2 0 -1 > || 8.134 || | | | 29.218 |
| || [[threedie]] || 2197 / 2187 || | 0 -7 0 0 0 3 > || 7.897 ||
| | | [[User:Xenllium|Xenllium]] (2022) |
| || [[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 ||
| | | [[Doublehearted comma]] |
| || [[ratwolf triad|ratwolfsma]] || 351 / 350 || | -1 3 -2 -1 0 1 > || 4.939 ||
| | | Quadbizo |
| || [[minthmic chords|minthma]] || 352 / 351 || | 5 -3 0 0 1 -1 > || 4.925 ||
| | | 8z5 |
| || [[gentle chords|gentle comma]] || 364 / 363 || | 2 -1 0 1 -2 1 > || 4.763 ||
| | | 5764801 / 5668704 |
| || [[cuthbert triad|cuthbert]] || 847 / 845 || | 0 0 -1 1 2 -2 > || 4.093 || | | | {{Monzo| -5 -11 0 8 }} |
| || tunbarsma || 625 / 624 || | -4 -1 4 0 0 -1 > || 2.772 || | | | 29.102 |
| || [[The Archipelago|island comma]] || 676 / 675 || | 2 -3 -2 0 0 2 > || 2.563 || | | | [[User:Xenllium|Xenllium]] (2023) |
| || [[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 ||
| | | [[Frostburn comma]] |
| || [[nicolic tetrad|nicola]] || 1575 / 1573 || | 0 2 2 1 -2 -1 > || 2.200 ||
| | | Quadru-asepyo |
| || [[sinbadmic tetrad|sinbadma]] || 1001 / 1000 || | -3 0 -3 1 1 1 > || 1.730 || | | | 4ra7y-4 |
| || cantonisma || 10985 / 10976 || | -5 0 1 -3 0 3 > || 1.419 || | | | 78125 / 76832 |
| || lummic || 1716 / 1715 || | 2 1 -1 -3 1 1 > || 1.009 || | | | {{Monzo| -5 0 7 -4 }} |
| || ibnsinma || 2080 / 2079 || | 5 -3 1 -1 -1 1 > || 0.833 || | | | 28.892 |
| || 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 || | | | [[686/675|Senga]] |
| || harmonisma || 10648 / 10647 || | 3 -2 0 -1 3 -2 > || 0.163 || | | | Trizo-agugu |
| || chalmersima || 123201 / 123200 || | -6 6 -2 -1 -1 2 > || 0.014 || | | | 3zagg3 |
| | | 686 / 675 |
| | | {{Monzo| 1 -3 -2 3 }} |
| | | 27.985 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | 23-21-comma |
| | | Sepla-twethezo |
| | | 7L23z7 |
| | | |
| | | {{Monzo| -101 23 0 23 }} |
| | | 27.961 |
| | | |
| | |- |
| | | [[64/63|Septimal comma]], Archytas' comma, Leipziger Komma |
| | | Ru |
| | | r1 |
| | | 64 / 63 |
| | | {{Monzo| 6 -2 0 -1 }} |
| | | 27.264 |
| | | |
| | |- |
| | | [[Mandos comma]] |
| | | Birugugu |
| | | 2rgg1 |
| | | 31104 / 30625 |
| | | {{Monzo| 7 5 -4 -2 }} |
| | | 26.868 |
| | | |
| | |- |
| | | [[Slither comma]] |
| | | Satritriru-aquadyo |
| | | s9ra4y-5 |
| | | 40960000 / 40353607 |
| | | {{Monzo| 16 0 4 -9 }} |
| | | 25.822 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | [[Bastille comma]] |
| | | |
| | | |
| | | |
| | | {{Monzo| 1426 0 -596 -15 }} |
| | | 24.638 |
| | | [[Eliora]] (2023) |
| | |- |
| | | 33-7/5-comma |
| | | Letrizogu |
| | | 33zg21 |
| | | |
| | | {{Monzo| -16 0 -33 33 }} |
| | | 22.902 |
| | | |
| | |- |
| | | Huntian 35-cycle comma |
| | | Quintrisa-tritritribirugu |
| | | 15s54rg-6 |
| | | |
| | | {{Monzo| 277 0 -54 -54 }} |
| | | 22.461 |
| | | |
| | |- |
| | | [[Blackjackisma]] |
| | | Lasepru-aquadbiyo |
| | | L7ra8y-6 |
| | | 854296875 / 843308032 |
| | | {{Monzo| -10 7 8 -7 }} |
| | | 22.413 |
| | | [[Gene Ward Smith]] (2011) |
| | |- |
| | | [[Squalentine comma]] |
| | | Laquadzo-atrigu |
| | | L4za3g3 |
| | | 64827 / 64000 |
| | | {{Monzo| -9 3 -3 4 }} |
| | | 22.227 |
| | | |
| | |- |
| | | [[875/864|Keema]] |
| | | Zotriyo |
| | | z3y1 |
| | | 875 / 864 |
| | | {{Monzo| -5 -3 3 1 }} |
| | | 21.902 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Betelgeuse comma]] |
| | | Satritrizo-agugu |
| | | s9zagg6 |
| | | 40353607 / 39858075 |
| | | {{Monzo| 0 -13 -2 9 }} |
| | | 21.391 |
| | | |
| | |- |
| | | [[3125/3087|Gariboh comma]] |
| | | Triru-aquinyo |
| | | 3ra5y-3 |
| | | 3125 / 3087 |
| | | {{Monzo| 0 -2 5 -3 }} |
| | | 21.181 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Secanticornisma]] |
| | | Laruquingu |
| | | Lr5g1 |
| | | 177147 / 175000 |
| | | {{Monzo| -3 11 -5 -1 }} |
| | | 21.111 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[2430/2401|Nuwell comma]] |
| | | Quadru-ayo |
| | | 4ray-3 |
| | | 2430 / 2401 |
| | | {{Monzo| 1 5 1 -4 }} |
| | | 20.785 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Mermisma]] |
| | | Sepruyo |
| | | 7ry-5 |
| | | 2500000 / 2470629 |
| | | {{Monzo| 5 -1 7 -7 }} |
| | | 20.460 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Negricorn comma]], small quadruple bluish |
| | | Saquadzogu |
| | | s4zg4 |
| | | 153664 / 151875 |
| | | {{monzo| 6 -5 -4 4 }} |
| | | 20.274 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Tolerant comma]] |
| | | Sazoyoyo |
| | | szyy2 |
| | | 179200 / 177147 |
| | | {{Monzo| 10 -11 2 1 }} |
| | | 19.948 |
| | | |
| | |- |
| | | [[Icosipentatonic comma]], 25-36/35-comma |
| | | Quinquinrugu |
| | | 25rg-8 |
| | | |
| | | {{Monzo| 49 50 -25 -25 }} |
| | | 19.260 |
| | | |
| | |- |
| | | [[Valenwuer comma]] |
| | | Sarutribigu |
| | | sr6g1 |
| | | 110592 / 109375 |
| | | {{Monzo| 12 3 -6 -1 }} |
| | | 19.157 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Buzzardsma]], buzzard comma |
| | | Saquadru |
| | | s4r-2 |
| | | 65536 / 64827 |
| | | {{Monzo| 16 -3 0 -4 }} |
| | | 18.831 |
| | | See the page. |
| | |- |
| | | Huntian 21-cycle comma |
| | | Quadbisa-sepquadru |
| | | 8s28r-8 |
| | | |
| | | {{Monzo| 123 -28 0 -28 }} |
| | | 18.135 |
| | | |
| | |- |
| | | [[Mirwomo comma]] |
| | | Labizoyo |
| | | L2zy1 |
| | | 33075 / 32768 |
| | | {{Monzo| -15 3 2 2 }} |
| | | 16.144 |
| | | |
| | |- |
| | | [[Catasyc comma]] |
| | | Laruquadbiyo |
| | | Lr8y-3 |
| | | 390625 / 387072 |
| | | {{Monzo| -11 -3 8 -1 }} |
| | | 15.819 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Compass comma]] |
| | | Quinruyoyo |
| | | 5ryy-5 |
| | | 9765625 / 9680832 |
| | | {{monzo| -6 -2 10 -5 }} |
| | | 15.098 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Trimyna comma]] |
| | | Quinzogu |
| | | 5zg4 |
| | | 50421 / 50000 |
| | | {{monzo| -4 1 -5 5 }} |
| | | 14.516 |
| | | |
| | |- |
| | | [[245/243|Sensamagic comma]] |
| | | Zozoyo |
| | | zzy2 |
| | | 245 / 243 |
| | | {{monzo| 0 -5 1 2 }} |
| | | 14.191 |
| | | [[Gene Ward Smith]] (2010) |
| | |- |
| | | [[126/125|Starling comma]], septimal semicomma |
| | | Zotrigu |
| | | z3g2 |
| | | 126 / 125 |
| | | {{Monzo| 1 2 -3 1 }} |
| | | 13.795 |
| | | |
| | |- |
| | | Slendro 34-comma |
| | | Quinla-sequadzo |
| | | 5L68z28 |
| | | |
| | | {{Monzo| -137 -34 0 68 }} |
| | | 13.692 |
| | | |
| | |- |
| | | [[4000/3969|Octagar comma]] |
| | | Rurutriyo |
| | | rr3y-2 |
| | | 4000 / 3969 |
| | | {{Monzo| 5 -4 3 -2 }} |
| | | 13.469 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[1728/1715|Orwellisma]] |
| | | Triru-agu |
| | | 3rag-2 |
| | | 1728 / 1715 |
| | | {{Monzo| 6 3 -1 -3 }} |
| | | 13.074 |
| | | |
| | |- |
| | | [[Mynaslender comma]] |
| | | Sepru-ayo |
| | | 7ray-4 |
| | | 829440 / 823543 |
| | | {{Monzo| 11 4 1 -7 }} |
| | | 12.352 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | 35-7/5-comma |
| | | Sepquinruyo |
| | | 35ry-22 |
| | | |
| | | {{monzo| 17 0 35 -35 }} |
| | | 12.073 |
| | | |
| | |- |
| | | [[Chromatisma]] |
| | | Trisa-triru-aquadquadyo |
| | | 3s3ra16y-3 |
| | | <abbr title="640000000000000000 / 635585924776181463">(36 digits)</abbr> |
| | | {{Monzo| 22 -32 16 -3 }} |
| | | 11.982 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Mistisma]] |
| | | Sazoquadgu |
| | | sz4g3 |
| | | 458752 / 455625 |
| | | {{Monzo| 16 -6 -4 1 }} |
| | | 11.841 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Bronzisma]] |
| | | Satriru-agugu |
| | | s3ragg1 |
| | | 2097152 / 2083725 |
| | | {{Monzo| 21 -5 -2 -3 }} |
| | | 11.120 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | 34-jubilismic comma |
| | | Sequadzogu |
| | | 68zg42 |
| | | |
| | | {{Monzo| -33 0 -68 68 }} |
| | | 10.829 |
| | | |
| | |- |
| | | [[26-7-comma]], Hunt 7-cycle comma |
| | | Quadsa-thebiru |
| | | 4s26r-10 |
| | | <abbr title="9444732965739290427392 / 9387480337647754305649">(44 digits)</abbr> |
| | | {{Monzo| 73 0 0 -26 }} |
| | | 10.526 |
| | | |
| | |- |
| | | [[Septiness comma]] |
| | | Sasasepru |
| | | ss7r-3 |
| | | 67108864 / 66706983 |
| | | {{Monzo| 26 -4 0 -7 }} |
| | | 10.399 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[31-comma temperaments|31-35-comma]] |
| | | Tritrila-thiwezoyo |
| | | 9L31zy4 |
| | | |
| | | {{Monzo| -159 0 31 31 }} |
| | | 9.3282 |
| | | |
| | |- |
| | | [[Quince comma]] |
| | | Lasepzo-agugu |
| | | L7zagg4 |
| | | 823543 / 819200 |
| | | {{Monzo| -15 0 -2 7 }} |
| | | 9.1539 |
| | | |
| | |- |
| | | [[Uniwiz comma]] |
| | | Quadzoyo |
| | | 4zy2 |
| | | 1500625 / 1492992 |
| | | {{Monzo| -11 -6 4 4 }} |
| | | 8.8285 |
| | | |
| | |- |
| | | [[Historisma]] |
| | | Latribizogu |
| | | L6zg4 |
| | | 257298363 / 256000000 |
| | | {{Monzo| -14 7 -6 6 }} |
| | | 8.7582 |
| | | [[ArrowHead294]] (2024) |
| | |- |
| | | [[1029/1024|Gamelisma]] |
| | | Latrizo |
| | | L3z2 |
| | | 1029 / 1024 |
| | | {{Monzo| -10 1 0 3 }} |
| | | 8.4327 |
| | | |
| | |- |
| | | [[Varunisma]] |
| | | Labizogugu |
| | | L2zgg2 |
| | | 321489 / 320000 |
| | | {{Monzo| -9 8 -4 2 }} |
| | | 8.0370 |
| | | |
| | |- |
| | | [[225/224|Marvel comma]], septimal kleisma |
| | | Ruyoyo |
| | | ryy-2 |
| | | 225 / 224 |
| | | {{Monzo| -5 2 2 -1 }} |
| | | 7.7115 |
| | | [[Gene Ward Smith]] (2003) |
| | |- |
| | | [[Dimcomp comma]] |
| | | Quadruyoyo |
| | | 4ryy-4 |
| | | 390625 / 388962 |
| | | {{Monzo| -1 -4 8 -4 }} |
| | | 7.3861 |
| | | |
| | |- |
| | | [[Cataharry comma]] |
| | | Labirugu |
| | | L2rg-2 |
| | | 19683 / 19600 |
| | | {{Monzo| -4 9 -2 -2 }} |
| | | 7.3158 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Procyon comma]] |
| | | Sasepzo-atrigu |
| | | s7za3g5 |
| | | 823543 / 820125 |
| | | {{Monzo| 0 -8 -3 7 }} |
| | | 7.2002 |
| | | |
| | |- |
| | | [[Qiqi comma]] |
| | | Sepruyoyo |
| | | 7ryy-6 |
| | | 48828125000 / 48629390607 |
| | | {{Monzo| 3 -10 14 -7 }} |
| | | 7.0606 |
| | | [[User:Angekallikoita|Ange]] (2025) |
| | |- |
| | | [[Mirkwai comma]] |
| | | Quinru-aquadyo |
| | | 5ra4y-4 |
| | | 16875 / 16807 |
| | | {{Monzo| 0 3 4 -5 }} |
| | | 6.9903 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Canousma]] |
| | | Saquadzo-atriyo |
| | | s4za3y3 |
| | | 4802000 / 4782969 |
| | | {{Monzo| 4 -14 3 4 }} |
| | | 6.8748 |
| | | [[Flora Canou]] (2020) |
| | |- |
| | | [[Triwellisma]] |
| | | Tribizo-asepgu |
| | | 6za7g5 |
| | | 235298 / 234375 |
| | | {{Monzo| 1 -1 -7 6 }} |
| | | 6.8044 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Stearnsma]] |
| | | Latribiru |
| | | L6r-4 |
| | | 118098 / 117649 |
| | | {{Monzo| 1 10 0 -6 }} |
| | | 6.5946 |
| | | |
| | |- |
| | | [[10976/10935|Hemimage comma]] |
| | | Satrizo-agu |
| | | s3zag3 |
| | | 10976 / 10935 |
| | | {{Monzo| 5 -7 -1 3 }} |
| | | 6.4790 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[3136/3125|Hemimean comma]] |
| | | Zozoquingu |
| | | zz5g3 |
| | | 3136 / 3125 |
| | | {{Monzo| 6 0 -5 2 }} |
| | | 6.0832 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[5120/5103|Hemifamity comma]], 5/7-kleisma |
| | | Saruyo |
| | | sry1 |
| | | 5120 / 5103 |
| | | {{Monzo| 10 -6 1 -1 }} |
| | | 5.7578 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Parkleiness comma]] |
| | | Zotritrigu |
| | | z9g3 |
| | | 1959552 / 1953125 |
| | | {{Monzo| 7 7 -9 1 }} |
| | | 5.6875 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Octaphore comma]], enneagari comma |
| | | Sasa-quadbizo |
| | | ss8z6 |
| | | 94450499584 / 94143178827 |
| | | {{Monzo| 14 -23 0 8 }} |
| | | 5.6422 |
| | | [[User:Unque|Unque]] (2024) |
| | |- |
| | | [[Linus comma]] |
| | | Saquinbizogu |
| | | s10zg8 |
| | | 578509309952 / 576650390625 |
| | | {{Monzo| 11 -10 -10 10 }} |
| | | 5.5719 |
| | | [[Gene Ward Smith]] (2011) |
| | |- |
| | | [[Reiwa comma]] |
| | | Saquadru-asepyo |
| | | s4ra7y-3 |
| | | 1280000000 / 1275989841 |
| | | {{monzo| 14 -12 7 -4 }} |
| | | 5.4324 |
| | | [[Flora Canou]] (2022) |
| | |- |
| | | [[6144/6125|Porwell comma]] |
| | | Sarurutrigu |
| | | srr3g1 |
| | | 6144 / 6125 |
| | | {{Monzo| 11 1 -3 -2 }} |
| | | 5.3620 |
| | | [[Gene Ward Smith]], [[Petr Pařízek]] (2010) |
| | |- |
| | | [[Cartoonisma]] |
| | | Satritrizo-asepbigu |
| | | s9za14g8 |
| | | 165288374272 / 164794921875 |
| | | {{Monzo| 12 -3 -14 9 }} |
| | | 5.1762 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Hemfiness comma]] |
| | | Saquadru-atriyo |
| | | s4ra3y-3 |
| | | 4096000 / 4084101 |
| | | {{Monzo| 15 -5 3 -5 }} |
| | | 5.0366 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Acrodec comma]] |
| | | Sasa-tribizo-aquadbigu |
| | | ss6za8g6 |
| | | 7710244864 / 7688671875 |
| | | {{Monzo| 16 -9 -8 6 }} |
| | | 4.8507 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | [[Hewuermera comma]] |
| | | Satribiru-agu |
| | | s6rag-3 |
| | | 589824 / 588245 |
| | | {{Monzo| 16 2 -1 -6 }} |
| | | 4.6408 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Hearts comma]] |
| | | Trila-quadzo |
| | | 3L4z1 |
| | | 34451725707 / 34359738368 |
| | | {{Monzo| -35 15 0 4 }} |
| | | 4.6286 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[Lokisma]], loki comma |
| | | Sasa-bizotrigu |
| | | ss2z3g4 |
| | | 102760448 / 102515625 |
| | | {{Monzo| 21 -8 -6 2 }} |
| | | 4.1295 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Garischisma]], septimal schisma |
| | | Sasaru |
| | | ssr2 |
| | | 33554432 / 33480783 |
| | | {{Monzo| 25 -14 0 -1 }} |
| | | 3.8041 |
| | | |
| | |- |
| | | [[Wadisma]] |
| | | Latritrizo-ayo |
| | | L9zay4 |
| | | 201768035 / 201326592 |
| | | {{Monzo| -26 -1 1 9 }} |
| | | 3.7919 |
| | | |
| | |- |
| | | [[Septimal enneadeca]] |
| | | Quinla-neru |
| | | 5L19r-13 |
| | | <abbr title="1570042899082081611640534563 / 1566652225014704215735402496">(56 digits)</abbr> |
| | | {{Monzo| -37 57 0 -19 }} |
| | | 3.7428 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[Quasiorwellisma]] |
| | | Sazoquinbigu |
| | | sz10g4 |
| | | 29360128 / 29296875 |
| | | {{Monzo| 22 -1 -10 1 }} |
| | | 3.7338 |
| | | |
| | |} |
|
| |
|
| ==17-limit commas== | | === 11-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || xenisma || 2058 / 2057 || | 1 1 0 3 -2 0 -1 > || 0.841 || | | ! Name(s) |
| || || 12376 / 12375 || | 3 -2 -3 1 -1 1 1 > || 0.140 || | | ! colspan="2" | [[Color notation/Temperament names|Color name]] |
| || || 14400 / 14399 || | 6 2 2 -1 -2 0 -1 > || 0.120 || | | ! Ratio |
| || scintillisma || 194481 / 194480 || | -4 4 -1 4 -1 -1 -1 > || 0.009 || | | ! Monzo |
| | ! Cents |
| | ! Named by |
| | |- |
| | | [[Dew comma]] |
| | | Salo |
| | | s1o2 |
| | | 180224 / 177147 |
| | | {{Monzo| 14 -11 0 0 1 }} |
| | | 29.812 |
| | | [[User:CompactStar|CompactStar]] (2023) |
| | |- |
| | | [[Thuja comma]] |
| | | Saquinlu-ayo |
| | | s5(1u)y2 |
| | | 163840 / 161051 |
| | | {{Monzo| 15 0 1 0 -5 }} |
| | | 29.724 |
| | | |
| | |- |
| | | [[625/616|Quadrikite comma]] |
| | | Luruquadyo |
| | | 1ur4y-2 |
| | | 625 / 616 |
| | | {{Monzo| -3 0 4 -1 -1 }} |
| | | 25.111 |
| | | [[Praveen Venkataramana]], [[Lumi Pakkanen]] (2022) |
| | |- |
| | | [[1350/1331|Large tetracot diesis]] |
| | | Trilu-ayoyo |
| | | 3(1u)yy1 |
| | | 1350 / 1331 |
| | | {{Monzo| 1 3 2 0 -3 }} |
| | | 24.539 |
| | | [[User:ArrowHead294|ArrowHead294]] (2024) |
| | |- |
| | | [[Sensmus comma]] |
| | | Salozogu |
| | | s1ozg2 |
| | | 1232 / 1215 |
| | | {{Monzo| 4 -5 -1 1 1 }} |
| | | 24.055 |
| | | |
| | |- |
| | | [[Sevnothrush comma]] |
| | | Loquingu |
| | | 1o5g2 |
| | | 3168 / 3125 |
| | | {{Monzo| 5 2 -5 0 1 }} |
| | | 23.659 |
| | | |
| | |- |
| | | [[245/242|Frostma]] |
| | | Biluzo-ayo |
| | | 2(1uz)y2 |
| | | 245 / 242 |
| | | {{Monzo| -1 0 1 2 -2 }} |
| | | 21.330 |
| | | [[Praveen Venkataramana]] (2022) |
| | |- |
| | | [[Distarma]] |
| | | Trilozo |
| | | 3(1o)z1 |
| | | 9317 / 9216 |
| | | {{Monzo|-10 -2 0 1 3}} |
| | | 18.869 |
| | | [https://twitter.com/Lilly__Flores Lilly Flores] (2023) |
| | |- |
| | | [[1617/1600|Antimisma]] |
| | | Lobizogu |
| | | 1o2zg2 |
| | | 1617 / 1600 |
| | | {{Monzo| -6 1 -2 2 1 }} |
| | | 18.297 |
| | | [[User:Jerdle|Jerdle]] (2021) |
| | |- |
| | | [[99/98|Mothwellsma]] |
| | | Loruru |
| | | 1orr-2 |
| | | 99 / 98 |
| | | {{Monzo| -1 2 0 -2 1 }} |
| | | 17.576 |
| | | |
| | |- |
| | | [[1610510/1594323|Fifthchromisma]] |
| | | Saquinlo-ayo |
| | | s5(1o)y1 |
| | | 1610510 / 1594323 |
| | | {{Monzo| 1 -13 1 0 5 }} |
| | | 17.488 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[100/99|Ptolemisma]] |
| | | Luyoyo |
| | | 1uyy1 |
| | | 100 / 99 |
| | | {{Monzo| 2 -2 2 0 -1 }} |
| | | 17.399 |
| | | |
| | |- |
| | | [[Hemimin comma]] |
| | | Trilu-azo |
| | | 3(1u)z2 |
| | | 1344 / 1331 |
| | | {{Monzo| 6 1 0 1 -3 }} |
| | | 16.827 |
| | | |
| | |- |
| | | [[Betarabian comma]] |
| | | Lalolo |
| | | L1oo-2 |
| | | 264627 / 262144 |
| | | {{Monzo| -18 7 0 0 2 }} |
| | | 16.321 |
| | | [[Dawson Berry]] (2020) |
| | |- |
| | | [[Biyatisma]] |
| | | Lologu |
| | | 1oog1 |
| | | 121 / 120 |
| | | {{Monzo| -3 -1 -1 0 2 }} |
| | | 14.367 |
| | | [[Gene Ward Smith]] (2010) |
| | |- |
| | | [[Absinthma]] |
| | | Luluruyo |
| | | 1uury1 |
| | | 2560 / 2541 |
| | | {{Monzo| 9 -1 1 -1 -2 }} |
| | | 12.897 |
| | | [[User:Jerdle|Jerdle]] (2023) |
| | |- |
| | | [[2835/2816|35/11 kleisma]] |
| | | Laluzoyo |
| | | L1uzy1 |
| | | 2835 / 2816 |
| | | {{Monzo| -8 4 1 1 -1 }} |
| | | 11.642 |
| | | |
| | |- |
| | | [[Aphrowe comma]] |
| | | Trilo-aruru |
| | | 3(1o)rr-2 |
| | | 1331 / 1323 |
| | | {{Monzo| 0 -3 0 -2 3 }} |
| | | 10.437 |
| | | [[Lériendil]] (2024) |
| | |- |
| | | [[2200/2187|Small tetracot diesis]] |
| | | Saloyoyo |
| | | s1oyy1 |
| | | 2200 / 2187 |
| | | {{Monzo| 3 -7 2 0 1 }} |
| | | 10.260 |
| | | [[User:ArrowHead294|ArrowHead294]] |
| | |- |
| | | [[Valinorsma]] |
| | | Lorugugu |
| | | 1orgg1 |
| | | 176 / 175 |
| | | {{Monzo| 4 0 -2 -1 1 }} |
| | | 9.8646 |
| | | |
| | |- |
| | | [[Pentacircle comma]] |
| | | Saluzo |
| | | s1uz2 |
| | | 896 / 891 |
| | | {{Monzo| 7 -4 0 1 -1 }} |
| | | 9.6880 |
| | | |
| | |- |
| | | [[Alpharabian comma]] |
| | | Laquadlo |
| | | L4(1o)-2 |
| | | 131769 / 131072 |
| | | {{Monzo| -17 2 0 0 4 }} |
| | | 9.1818 |
| | | [[Dawson Berry]] (2020) |
| | |- |
| | | [[Orgonisma]] |
| | | Satrilu-aruru |
| | | s3(1u)rr1 |
| | | 65536 / 65219 |
| | | {{Monzo| 16 0 0 -2 -3 }} |
| | | 8.3944 |
| | | |
| | |- |
| | | [[Quindecic comma]] |
| | | Sasa-quintriloru |
| | | ss15(1or)-8 |
| | | |
| | | {{Monzo| 14 -15 0 -15 15 }} |
| | | 8.0555 |
| | | |
| | |- |
| | | [[117649/117128]] |
| | | Bilulutrizo-a |
| | | 2(1uu3z)4 |
| | | 117649 / 117128 |
| | | {{Monzo| -3 0 0 6 -4 }} |
| | | 7.6837 |
| | | |
| | |- |
| | | [[Topsy comma]] |
| | | Quadlo-atrizo-asepgu |
| | | 4(1o)3za7g3 |
| | | 5021863 / 5000000 |
| | | {{Monzo| -6 0 -7 3 4 }} |
| | | 7.5535 |
| | | |
| | |- |
| | | [[4375/4356|Fantares comma]] |
| | | Luluzoquadyo |
| | | 1uuz4y1 |
| | | 4375 / 4356 |
| | | {{Monzo| -2 -2 4 1 -2 }} |
| | | 7.5349 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Semicanousma]] |
| | | Quadlo-agu |
| | | 4(1o)g1 |
| | | 14641 / 14580 |
| | | {{Monzo| -2 -6 -1 0 4 }} |
| | | 7.2281 |
| | | [[Flora Canou]] (2020) |
| | |- |
| | | [[243/242|Rastma]] |
| | | Lulu |
| | | 1uu1 |
| | | 243 / 242 |
| | | {{Monzo| -1 5 0 0 -2 }} |
| | | 7.1391 |
| | | |
| | |- |
| | | [[3388/3375|Myhemiwell comma]] |
| | | Lolozotrigu |
| | | 1ooz3g2 |
| | | 3388 / 3375 |
| | | {{Monzo| 2 -3 -3 1 2 }} |
| | | 6.6556 |
| | | |
| | |- |
| | | [[Pythrabian comma]] |
| | | Trisalo |
| | | 3s1o |
| | | 94489280512 / 94143178827 |
| | | {{Monzo| 33 -23 0 0 1 }} |
| | | 6.3529 |
| | | [[Dawson Berry]] (2021) |
| | |- |
| | | [[Semiporwellisma]] |
| | | Salulugu |
| | | s1uug2 |
| | | 16384 / 16335 |
| | | {{Monzo| 14 -3 -1 0 -2 }} |
| | | 5.1854 |
| | | [[Flora Canou]] (2021) |
| | |- |
| | | [[Octatonic comma]], undecimal octatonic comma |
| | | Quadbilu |
| | | 8(1u)2 |
| | | 214990848 / 214358881 |
| | | {{Monzo| 15 8 0 0 -8 }} |
| | | 5.0965 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[385/384|Keenanisma]] |
| | | Lozoyo |
| | | 1ozy1 |
| | | 385 / 384 |
| | | {{Monzo| -7 -1 1 1 1 }} |
| | | 4.5026 |
| | | [[Paul Erlich]] (2001) |
| | |- |
| | | [[Trimitone comma]] |
| | | Lalotrigu |
| | | L1o3g1 |
| | | 8019 / 8000 |
| | | {{Monzo| -6 6 -3 0 1 }} |
| | | 4.1068 |
| | | [[User:Godtone|Godtone]] (2021) |
| | |- |
| | | [[4-cent comma]] |
| | | Lutritryo |
| | | 1u9y-2 |
| | | 1953125 / 1948617 |
| | | {{Monzo| 0 -11 9 0 -1 }} |
| | | 4.0004 |
| | | [[User:Jerdle|Jerdle]] (2021) |
| | |- |
| | | [[441/440|Werckisma]] |
| | | Luzozogu |
| | | 1uzzg2 |
| | | 441 / 440 |
| | | {{Monzo| -3 2 -1 2 -1 }} |
| | | 3.9302 |
| | | |
| | |- |
| | | [[1375/1372|Moctdel comma]] |
| | | Lotriruyo |
| | | 1o3ry-3 |
| | | 1375 / 1372 |
| | | {{Monzo| -2 0 3 -3 1 }} |
| | | 3.7814 |
| | | |
| | |- |
| | | [[Unisquarisma]], unisquary comma |
| | | Trilu-aquadzo-ayo |
| | | 3(1u)4zay3 |
| | | 12005 / 11979 |
| | | {{Monzo| 0 -2 1 4 -3 }} |
| | | 3.7535 |
| | | [[User:Xenllium|Xenllium]] (2024) |
| | |- |
| | | [[6250/6237|Liganellus comma]], liganellisma |
| | | Luruquinyo |
| | | 1ur5y-2 |
| | | 6250 / 6237 |
| | | {{Monzo| 1 -4 5 -1 -1 }} |
| | | 3.6047 |
| | | [[Dawson Berry]] (2020) |
| | |} |
|
| |
|
| ==19-limit commas== | | === 13-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || spleen comma || 210 / 209 || | 1 1 1 1 -1 0 0 -1 > || 8.264 || | | ! Name(s) |
| || go comma || 361 / 360 || | -6 -1 0 0 0 0 0 2 > || 4.802 || | | ! colspan="2" | [[Color notation/Temperament Names|Color Name]] |
| || || 165376 / 165375 || |9 -3 -3 -2 0 0 1 1> || 0.010 || | | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | ! Named by |
| | |- |
| | | [[Lovecraft comma]] |
| | | Thothotrilu |
| | | 3oo3(1u)2 |
| | | 1352/1331 |
| | | {{monzo|3 0 0 0 -3 2}} |
| | | 27.101 |
| | | |
| | |- |
| | | [[65/64|Wilsorma]] |
| | | Thoyo |
| | | 3oy1 |
| | | 65/64 |
| | | {{Monzo| -6 0 1 0 0 1 }} |
| | | 26.841 |
| | | |
| | |- |
| | | [[Hyperpyth comma]] |
| | | Quadtho-aquingu |
| | | 4(3o)5g3 |
| | | 28561/28125 |
| | | {{Monzo| 0 -2 -5 0 0 4 }} |
| | | 26.632 |
| | | |
| | |- |
| | | [[66/65|Winmeanma]] |
| | | Thulogu |
| | | 3u1og1 |
| | | 66/65 |
| | | {{Monzo| 1 1 -1 0 1 -1 }} |
| | | 26.432 |
| | | |
| | |- |
| | | [[343/338|Sooty fox comma]] |
| | | Thuthutrizo |
| | | 3uu3z2 |
| | | 343/338 |
| | | {{Monzo| -1 0 0 3 0 -2 }} |
| | | 25.422 |
| | | [[Budjarn Lambeth]] (2024) |
| | |- |
| | | [[Tetris comma]] |
| | | Satho |
| | | s3o2 |
| | | 6656/6561 |
| | | {{Monzo| 9 -8 0 0 0 1 }} |
| | | 24.888 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[507/500|Large semisixthma]] |
| | | Thothotrigu |
| | | 3oo3g2 |
| | | 507/500 |
| | | {{Monzo| -2 1 -3 0 0 2 }} |
| | | 24.069 |
| | | [[User:Xenllium|Xenllium]] (2024) |
| | |- |
| | | [[78/77|Negustma]] |
| | | Tholuru |
| | | 3o1ur1 |
| | | 78/77 |
| | | {{Monzo| 1 1 0 -1 -1 1 }} |
| | | 22.339 |
| | | |
| | |- |
| | | [[Greater tendoneutralisma]] |
| | | Laquadbitho |
| | | L8(3o)2 |
| | | 815730721 / 805306368 |
| | | {{Monzo| -28 -1 0 0 0 8 }} |
| | | 22.266 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[91/90|Biome comma, superleap comma]] |
| | | Thozogu |
| | | 3ozg2 |
| | | 91/90 |
| | | {{Monzo| -1 -2 -1 1 0 1 }} |
| | | 19.130 |
| | | |
| | |- |
| | | [[8281/8192|Diahuntmisma]] |
| | | Labithozo |
| | | L2(3oz)2 |
| | | 8281/8192 |
| | | {{Monzo| -13 0 0 2 0 2 }} |
| | | 18.707 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | [[512/507|Tridecimal neutral thirds comma]] |
| | | Thuthu |
| | | 3uu1 |
| | | 512/507 |
| | | {{Monzo| 9 -1 0 0 0 -2 }} |
| | | 16.990 |
| | | |
| | |- |
| | | [[105/104|Animist comma]] |
| | | Thuzoyo |
| | | 3uzy1 |
| | | 105/104 |
| | | {{Monzo| -3 1 1 1 0 -1 }} |
| | | 16.567 |
| | | |
| | |- |
| | | [[28812/28561|Tesseract comma]] |
| | | Quadthuzo |
| | | 4(3uz)2 |
| | | 28812/28561 |
| | | {{Monzo| 2 1 0 4 0 -4 }} |
| | | 15.148 |
| | | [[User:Unque|Unque]] (2025) |
| | |- |
| | | [[832/825]] |
| | | Tholugugu |
| | | 3o1ugg2 |
| | | 832/825 |
| | | {{Monzo| 6 -1 -2 0 -1 1 }} |
| | | 14.627 |
| | | |
| | |- |
| | | [[Secorian comma]] |
| | | Sathuzo |
| | | s3uz2 |
| | | 28672 / 28431 |
| | | {{Monzo| 12 -7 0 1 0 -1 }} |
| | | 14.613 |
| | | |
| | |- |
| | | [[3159/3136|Mosaic comma]] |
| | | Lathoruru |
| | | L3orr-2 |
| | | 3159/3136 |
| | | {{Monzo| -6 5 0 -2 0 1}} |
| | | 12.651 |
| | | |
| | |- |
| | | [[275/273|Gassorma]] |
| | | Thuloruyoyo |
| | | 3u1oryy-2 |
| | | 275/273 |
| | | {{Monzo| 0 -1 2 -1 1 -1 }} |
| | | 12.637 |
| | | |
| | |- |
| | | [[144/143|Grossma]] |
| | | Thulu |
| | | 3u1u1 |
| | | 144/143 |
| | | {{Monzo| 4 2 0 0 -1 -1 }} |
| | | 12.064 |
| | | |
| | |- |
| | | [[24167/24000]] |
| | | Tritho-alotrigu |
| | | 3(3o)1o3g2 |
| | | 24167/24000 |
| | | {{Monzo| -6 -1 -3 0 1 3}} |
| | | 12.005 |
| | | |
| | |- |
| | | [[Lesser tendoneutralisma]] |
| | | Sasa-quadtrithu |
| | | ss12(3u)-2 |
| | | 70368744177664 / 69894255367443 |
| | | {{Monzo| 46 -1 0 0 0 -12 }} |
| | | 11.713 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[Dinos comma]] |
| | | Lathuthuquingu |
| | | L3uu5g1 |
| | | 531441/528125 |
| | | {{Monzo| 0 12 -5 0 0 -2 }} |
| | | 10.836 |
| | | [[Dummy Index]] (2024) |
| | |- |
| | | [[169/168|Buzurgisma, dhanvantarisma]] |
| | | Thothoru |
| | | 3oor1 |
| | | 169/168 |
| | | {{Monzo| -3 -1 0 -1 0 2 }} |
| | | 10.274 |
| | | [[Margo Schulter]] (2012) for ''buzurgisma'' |
| | |- |
| | | [[3042/3025|Diagassormisma]] |
| | | Bitholugu |
| | | 2(3o1ug)2 |
| | | 3042/3025 |
| | | {{Monzo| 1 2 -2 0 -2 2 }} |
| | | 9.7020 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | Greater nelindic comma |
| | | Thothoquinru-ayoyo |
| | | 3oo5rayy-3 |
| | | 16900/16807 |
| | | {{Monzo| 2 0 2 -5 0 2 }} |
| | | 9.5532 |
| | | [[User:Kaiveran|Kaiveran]] (2019) |
| | |- |
| | | [[1287/1280|Catadictma]] |
| | | Thologu |
| | | 3o1og1 |
| | | 1287/1280 |
| | | {{Monzo| -8 2 -1 0 1 1 }} |
| | | 9.4419 |
| | | |
| | |- |
| | | [[Glacier comma]] |
| | | Quinthu |
| | | 5(3u)-2 |
| | | 373248/371293 |
| | | {{Monzo| 9 6 0 0 0 -5 }} |
| | | 9.0917 |
| | | [[ArrowHead294]] (2024) |
| | |- |
| | | [[196/195|Mynucuma]] |
| | | Thuzozogu |
| | | 3uzzg2 |
| | | 196/195 |
| | | {{Monzo| 2 -1 -1 2 0 -1 }} |
| | | 8.8554 |
| | | |
| | |- |
| | | [[1625/1617|Sopreisma]] |
| | | Tholururutriyo |
| | | 3urr3y-2 |
| | | 1625/1617 |
| | | {{Monzo| 0 -1 3 -2 -1 1 }} |
| | | 8.54405 |
| | | [[User:Recentlymaterialized|Recentlymaterialized]] (2024) |
| | |- |
| | | [[640/637|Huntma]], lesser nelindic comma |
| | | Thururuyo |
| | | 3urry-2 |
| | | 640/637 |
| | | {{Monzo| 7 0 1 -2 0 -1 }} |
| | | 8.1342 |
| | | [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma'' |
| | |- |
| | | [[2197/2187|Threedie]] |
| | | Satritho |
| | | s3(3o)2 |
| | | 2197/2187 |
| | | {{Monzo| 0 -7 0 0 0 3 }} |
| | | 7.8980 |
| | | |
| | |- |
| | | [[Tridecimal nakaisma]] |
| | | Quinsa-quadtritrithu-azo |
| | | 5s36(3u)z-4 |
| | | |
| | | {{Monzo| 132 -1 0 1 0 -36 }} |
| | | 7.8751 |
| | | [[User:原井玉葱郎|Misohito Nakai]] (2025) |
| | |- |
| | | [[4394/4375|Hebrewsma]] |
| | | Tritho-aruquadgu |
| | | 3(3o)r4g2 |
| | | 4394/4375 |
| | | {{Monzo| 1 0 -4 -1 0 3 }} |
| | | 7.5022 |
| | | [[Eliora]] (2022) |
| | |- |
| | | [[1188/1183|Kestrel comma]] |
| | | Thuthuloru |
| | | 3uu1or-2 |
| | | 1188/1183 |
| | | {{Monzo| 2 3 0 -1 1 -2 }} |
| | | 7.3017 |
| | | [[Gene Ward Smith]] (2011) |
| | |- |
| | | [[30E comma|2D9 comma]] |
| | | Thotriyo |
| | | 3o3y7 |
| | | 131625/131072 |
| | | {{Monzo|-17 4 3 0 0 1}} |
| | | 7.2888 |
| | | [https://twitter.com/Regret_March/status/1709762093749252209 Figreflekt] (2023) but [https://twitter.com/Figreflekt/status/1710195052520337680 revised later]{{dead link}} |
| | |- |
| | | [[Brontesisma]] |
| | | Trithu-azozoyo |
| | | 3(3u)zzy1 |
| | | 2205/2197 |
| | | {{Monzo| 0 2 1 2 0 -3 }} |
| | | 6.2925 |
| | | [[Francium]] (2025) |
| | |- |
| | | [[Praveensma]] |
| | | Thoquadzo |
| | | 3o4z3 |
| | | 31213/31104 |
| | | {{Monzo| -7 -5 0 4 0 1 }} |
| | | 6.0563 |
| | | [[Praveen Venkataramana]] (2022) |
| | |- |
| | | [[1573/1568|Lambeth comma]] |
| | | Thobiloru |
| | | 3o2(1or)-2 |
| | | 1573/1568 |
| | | {{Monzo| -5 0 0 -2 2 1 }} |
| | | 5.5117 |
| | | [[Flora Canou]] (2022) |
| | |- |
| | | [[325/324|Marveltwin comma]] |
| | | Thoyoyo |
| | | 3oyy1 |
| | | 325/324 |
| | | {{Monzo| -2 -4 2 0 0 1 }} |
| | | 5.3351 |
| | | |
| | |- |
| | | [[Valerisma]], Hunt 13-cycle comma |
| | | Laquinbitho |
| | | L10(3o)2 |
| | | 137858491849 / 137438953472 |
| | | {{Monzo| -37 0 0 0 0 10 }} |
| | | 5.2766 |
| | | [[Mason Green]] (2016) |
| | |- |
| | | [[351/350|Ratwolfsma]] |
| | | Thorugugu |
| | | 3orgg1 |
| | | 351/350 |
| | | {{Monzo| -1 3 -2 -1 0 1 }} |
| | | 4.9393 |
| | | |
| | |- |
| | | [[352/351|Major minthma, major gentle comma]], 11/13-kleisma |
| | | Thulo |
| | | 3u1o1 |
| | | 352/351 |
| | | {{Monzo| 5 -3 0 0 1 -1 }} |
| | | 4.9253 |
| | | See the page. |
| | |- |
| | | [[364/363|Minor minthma, minor gentle comma]] |
| | | Tholuluzo |
| | | 3o1uuz2 |
| | | 364/363 |
| | | {{Monzo| 2 -1 0 1 -2 1 }} |
| | | 4.7627 |
| | | See the page. |
| | |- |
| | | [[847/845|Cuthbert comma]] |
| | | Bithulo-azogu |
| | | 2(3u1o)zg1 |
| | | 847/845 |
| | | {{Monzo| 0 0 -1 1 2 -2 }} |
| | | 4.0928 |
| | | |
| | |} |
|
| |
|
| [[media type="custom" key="25699772"]]</pre></div>
| | === 17-limit commas === |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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">
| | {| class="wikitable" |
| <tr>
| | ! Name(s) |
| <th>name(s)<br />
| | ! colspan="2" | [[Color notation/Temperament names|Color name]] |
| </th>
| | ! Ratio |
| <th>ratio<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>monzo<br />
| | ! Named by |
| </th>
| | |- |
| <th>cents<br />
| | | [[2048/2023]] |
| </th>
| | | Susuru |
| </tr>
| | | 17uur-2 |
| <tr>
| | | 2048/2023 |
| <td>limma, Pythagorean minor second<br />
| | | {{Monzo| 11 0 0 -1 0 0 -2 }} |
| </td>
| | | 21.263 |
| <td><a class="wiki_link" href="/256_243">256 / 243</a><br />
| | | |
| </td>
| | |- |
| <td>| 8 -5 &gt;<br />
| | | [[85/84|Monk comma]] |
| </td>
| | | Soruyo |
| <td>90.225<br />
| | | 17ory1 |
| </td>
| | | 85/84 |
| </tr>
| | | {{Monzo| -2 -1 1 -1 0 0 1 }} |
| <tr>
| | | 20.488 |
| <td>apotome<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td><a class="wiki_link" href="/2187_2048">2187 / 2048</a><br />
| | | [[289/286|Lum comma]] |
| </td>
| | | Sosothulu |
| <td>| -11 7 &gt;<br />
| | | 17oo3u1u2 |
| </td>
| | | 289/286 |
| <td>113.685<br />
| | | {{Monzo| -1 0 0 0 -1 -1 2 }} |
| </td>
| | | 18.065 |
| </tr>
| | | |
| <tr>
| | |- |
| <td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br />
| | | [[2197/2176|Mey comma]] |
| </td>
| | | Sutritho |
| <td>531441 / 524288<br />
| | | 17u3(3o)1 |
| </td>
| | | 2197/2176 |
| <td>| -19 12 &gt;<br />
| | | {{Monzo| -7 0 0 0 0 3 -1 }} |
| </td>
| | | 16.628 |
| <td>23.460<br />
| | | |
| </td>
| | |- |
| </tr>
| | | [[429/425|Middle semisixthma]] |
| <tr>
| | | Suthologugu |
| <td><a class="wiki_link" href="/17-comma">17-comma</a><br />
| | | 17u3o1ogg1 |
| </td>
| | | 429/425 |
| <td>134217728 / 129140163<br />
| | | {{Monzo| 0 1 -2 0 1 1 -1 }} |
| </td>
| | | 16.218 |
| <td>| 27 -17 &gt;<br />
| | | [[User:Xenllium|Xenllium]] (2024) |
| </td>
| | |- |
| <td>66.765<br />
| | | [[4131/4096|Septendecimal comma]], Hunt flat 2 comma |
| </td>
| | | Laso |
| </tr>
| | | L17o1 |
| <tr>
| | | 4131/4096 |
| <td><a class="wiki_link" href="/29-comma">29-comma</a><br />
| | | {{Monzo| -12 5 0 0 0 0 1 }} |
| </td>
| | | 14.730 |
| <td>70368744177664 / 68630377364883<br />
| | | [[Flora Canou]] (2020) for ''septendecimal comma'' |
| </td>
| | |- |
| <td>| 46 -29 &gt;<br />
| | | [[120/119|Lynchisma]] |
| </td>
| | | Suruyo |
| <td>43.305<br />
| | | 17ury-2 |
| </td>
| | | 120/119 |
| </tr>
| | | {{Monzo| 3 1 1 -1 0 0 -1 }} |
| <tr>
| | | 14.487 |
| <td><a class="wiki_link" href="/41-comma">41-comma</a><br />
| | | [[User:Xenllium|Xenllium]] (2022) |
| </td>
| | |- |
| <td>36893488147419103232 / 36472996377170786403<br />
| | | 23-17-comma, 23 semitone comma |
| </td>
| | | Trila-twetheso |
| <td>| 65 -41 &gt;<br />
| | | 3L23(17o)10 |
| </td>
| | | |
| <td>19.845<br />
| | | {{Monzo| -94 0 0 0 0 0 23 }} |
| </td>
| | | 13.974 |
| </tr>
| | | |
| <tr>
| | |- |
| <td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br />
| | | [[136/135|Diatisma]], diatic comma, <br>fiventeen comma, septendecimal semicomma |
| </td>
| | | Sogu |
| <td>19383245667680019896796723 / 19342813113834066795298816<br />
| | | 17og2 |
| </td>
| | | 136/135 |
| <td>| -84 53 &gt;<br />
| | | {{Monzo| 3 -3 -1 0 0 0 1 }} |
| </td>
| | | 12.777 |
| <td>3.615<br />
| | | See the page. |
| </td>
| | |- |
| </tr>
| | | [[154/153|Augustma]] |
| <tr>
| | | Sulozo |
| <td>Sasktel comma<br />
| | | 17u1oz1 |
| </td>
| | | 154/153 |
| <td><br />
| | | {{Monzo| 1 -2 0 1 1 0 -1 }} |
| </td>
| | | 11.278 |
| <td>| 485 -306 &gt;<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>1.770<br />
| | | [[170/169|Major naiadma]] |
| </td>
| | | Sothuthuyo |
| </tr>
| | | 17o3uuy1 |
| <tr>
| | | 170/169 |
| <td><a class="wiki_link" href="/Satanic%20comma">Satanic comma</a><br />
| | | {{Monzo| 1 0 1 0 0 -2 1 }} |
| </td>
| | | 10.214 |
| <td><br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>| -1054 665 &gt;<br />
| | | [[2187/2176|Septendecimal schisma]] |
| </td>
| | | Lasu |
| <td>0.076<br />
| | | L17u-2 |
| </td>
| | | 2187/2176 |
| </tr>
| | | {{Monzo| -7 7 0 0 0 0 -1 }} |
| <tr>
| | | 8.7296 |
| <td>Pythagorean Integer cents comma<br />
| | | [[Plainsound Music Edition]] (2020) |
| </td>
| | |- |
| <td><br />
| | | [[1452/1445|Small semisixthma]] |
| </td>
| | | Susulologu |
| <td>| 317 -200 &gt;<br />
| | | 17uu1oog-2 |
| </td>
| | | 1452/1445 |
| <td>9.000<br />
| | | {{Monzo| 2 1 -1 0 2 0 -2 }} |
| </td>
| | | 8.3664 |
| </tr>
| | | [[User:Xenllium|Xenllium]] (2024) |
| </table>
| | |- |
| | | [[Mean thirds comma]] |
| | | Lasosoyo |
| | | L17ooy1 |
| | | 1053405/1048576 |
| | | {{Monzo|-20 6 1 0 0 0 2}} |
| | | 7.9545 |
| | | [[User:Jerdle|Jerdle]] (2022) |
| | |- |
| | | [[221/220|Minor naiadma]] |
| | | Sotholugu |
| | | 17o3o1ug2 |
| | | 221/220 |
| | | {{Monzo| -2 0 -1 0 -1 1 1 }} |
| | | 7.8514 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[2057/2048|Blume comma]] |
| | | Sololo |
| | | 17o1oo1 |
| | | 2057/2048 |
| | | {{monzo| -11 0 0 0 2 0 1 }} |
| | | 7.5913 |
| | | [[Douglas Blumeyer]] |
| | |- |
| | | [[256/255|Charisma]], charic comma, <br>septendecimal kleisma |
| | | Sugu |
| | | 17ug1 |
| | | 256/255 |
| | | {{Monzo| 8 -1 -1 0 0 0 -1 }} |
| | | 6.7759 |
| | | See the page. |
| | |- |
| | | [[273/272|Tannisma, prototannisma]] |
| | | Suthozo |
| | | 17u3oz1 |
| | | 273/272 |
| | | {{Monzo| -4 1 0 1 0 1 -1}} |
| | | 6.3532 |
| | | [[Scott Dakota]] (2017) for ''tannisma'' <br>[[Flora Canou]] (2023) for ''prototannisma'' |
| | |- |
| | | [[289/288|Semitonisma]], septendecimal semitones comma, septendecimal 6-cent comma |
| | | Soso |
| | | 17oo2 |
| | | 289/288 |
| | | {{Monzo| -5 -2 0 0 0 0 2 }} |
| | | 6.0008 |
| | | [[Flora Canou]] (2023) ''for semitonisma'' |
| | |- |
| | | [[375/374|Ursulisma]] |
| | | Sulutriyo |
| | | 17u1u3y-2 |
| | | 375/374 |
| | | {{Monzo| -1 1 3 0 -1 0 -1 }} |
| | | 4.6228 |
| | | [[Dawson Berry]], [[User:VIxen|VIxen]] (2023) |
| | |- |
| | | [[442/441|Seminaiadma]] |
| | | Sothoruru |
| | | 17o3orr1 |
| | | 442/441 |
| | | {{Monzo| 1 -2 0 -2 0 1 1 }} |
| | | 3.9213 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[80-17-comma]], 17-ripple <strike>integer cents</strike> comma{{clarify}} |
| | | Lesa-quinquadquadsu |
| | | 11s80(17u)-32 |
| | | |
| | | {{Monzo| 327 0 0 0 0 0 -80 }} |
| | | 3.5672 |
| | | [[Eliora]] (2022) for ''80-17-comma'' |
| | |} |
|
| |
|
| <br />
| | === 19-limit commas === |
| <!-- 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">
| | {| class="wikitable" |
| <tr>
| | ! Name(s) |
| <th>name(s)<br />
| | ! colspan="2" | [[Color name|Color Name]] |
| </th>
| | ! Ratio |
| <th>ratio<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>monzo<br />
| | ! Named by |
| </th>
| | |- |
| <th>cents<br />
| | | 135/133 |
| </th>
| | | Nuruyo |
| </tr>
| | | 19ury-2 |
| <tr>
| | | 135/133 |
| <td><span style="font-size: 12.8000001907349px;">pental </span>grave minor third, major heptathird comma<br />
| | | {{Monzo| 0 3 1 -1 0 0 0 -1 }} |
| </td>
| | | 25.84 |
| <td>78125 / 65535<br />
| | | |
| </td>
| | |- |
| <td>| -16 0 7 &gt;<br />
| | | [[76/75|Large undevicesimal 1/9-tone]] |
| </td>
| | | Nogugu |
| <td>304.196<br />
| | | 19ogg2 |
| </td>
| | | 76/75 |
| </tr>
| | | {{Monzo| 2 -1 -2 0 0 0 0 1 }} |
| <tr>
| | | 22.931 |
| <td><span style="font-size: 12.8000001907349px;">pental grave subminor third, major decathird comma</span><br />
| | |[[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>9765625 / 8388608<br />
| | | [[77/76|Small undevicesimal 1/9-tone]] |
| </td>
| | | Nulozo |
| <td>| -23 0 10 &gt;<br />
| | | 19u1oz1 |
| </td>
| | | 77/76 |
| <td>263.137<br />
| | | {{Monzo| -2 0 0 1 1 0 0 -1 }} |
| </td>
| | | 22.631 |
| </tr>
| | |[[User:Xenllium|Xenllium]] (2023) |
| <tr>
| | |- |
| <td><span style="font-size: 12.8000001907349px;">pental grave supermajor second, major triskaidecathird comma</span><br />
| | | [[96/95|19th-partial chroma]] |
| </td>
| | | Nugu |
| <td>1220703125 / 1073741824<br />
| | | 19ug1 |
| </td>
| | | 96/95 |
| <td>| -30 0 13 &gt;<br />
| | | {{Monzo| 5 1 -1 0 0 0 0 -1 }} |
| </td>
| | | 18.128 |
| <td>222.078<br />
| | | [[User:Flirora|Flirora]] (2021) |
| </td>
| | |- |
| </tr>
| | | [[Ume comma]] |
| <tr>
| | | Nutriso |
| <td>pental obtuse major second, <span style="font-size: 12.8000001907349px;">Satiric hexadecathird comma</span><br />
| | | 19u3(17o)2 |
| </td>
| | | 4913/4864 |
| <td><br />
| | | {{Monzo| -8 0 0 0 0 0 3 -1 }} |
| </td>
| | | 17.353 |
| <td>| -37 0 16 &gt;<br />
| | | |
| </td>
| | |- |
| <td>181.019<br />
| | | [[729/722|Undevicesimal diaschisma]] |
| </td>
| | | Lanunu |
| </tr>
| | | L19uu-2 |
| <tr>
| | | 729/722 |
| <td>acute limma<br />
| | | {{Monzo| -1 6 0 0 0 0 0 -2 }} |
| </td>
| | | 16.704 |
| <td><br />
| | | [[User:Xenllium|Xenllium]] (2024) |
| </td>
| | |- |
| <td>| -44 0 19 &gt;<br />
| | | [[6912/6859|Deviaug comma]] |
| </td>
| | | Trinu |
| <td>139.961<br />
| | | 3(19u)-2 |
| </td>
| | | 6912/6859 |
| </tr>
| | | {{Monzo| 8 3 0 0 0 0 0 -3 }} |
| <tr>
| | | 13.326 |
| <td>Twenty-two thirds limma, <span style="font-size: 12.8000001907349px;">Twenty-two thirds chroma</span><br />
| | | [[User:Xenllium|Xenllium]] (2025) |
| </td>
| | |- |
| <td><br />
| | | [[133/132|Minithirdma]] |
| </td>
| | | Noluzo |
| <td>| -51 0 22 &gt;<br />
| | | 19o1uz2 |
| </td>
| | | 133/132 |
| <td>98.902<br />
| | | {{Monzo| -2 -1 0 1 -1 0 0 1 }} |
| </td>
| | | 13.066 |
| </tr>
| | | [[User:Xenllium|Xenllium]] (2023) |
| <tr>
| | |- |
| <td>sibbolet<br />
| | | [[153/152|Ganassisma]], Ganassi's comma |
| </td>
| | | Nuso |
| <td><br />
| | | 19u17o1 |
| </td>
| | | 153/152 |
| <td>| -58 0 25 &gt;<br />
| | | {{Monzo| -3 2 0 0 0 0 1 -1 }} |
| </td>
| | | 11.352 |
| <td>57.843<br />
| | | [[User:Flirora|+merlan #flirora]] (2021) |
| </td>
| | |- |
| </tr>
| | | [[171/170|Malcolmisma]] |
| <tr>
| | | Nosugu |
| <td>Hunt 5-cycle comma<br />
| | | 19o17ug1 |
| </td>
| | | 171/170 |
| <td><br />
| | | {{Monzo| -1 2 -1 0 0 0 -1 1 }} |
| </td>
| | | 10.154 |
| <td>| -65 0 28 &gt;<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>16.784<br />
| | | [[131072/130321|Undevicesimal Diminished Comma]], Hunt 19-cycle comma |
| </td>
| | | Saquadnu |
| </tr>
| | | s4(19u)-2 |
| <tr>
| | | 131072 / 130321 |
| <td>acute thirds comma<br />
| | | {{Monzo| 17 0 0 0 0 0 0 -4 }} |
| </td>
| | | 9.9479 |
| <td><br />
| | | |
| </td>
| | |- |
| <td>| 72 0 -31 &gt;<br />
| | | [[Eye comma]] |
| </td>
| | | Nubisolu |
| <td>24.275<br />
| | | 19u2(17o1u)2 |
| </td>
| | | 2312/2299 |
| </tr>
| | | {{Monzo| 3 0 0 0 -2 0 2 -1 }} |
| <tr>
| | | 9.7619 |
| <td>1/5 tritave comma<br />
| | | |
| </td>
| | |- |
| <td><br />
| | | [[363/361|Godzillisma]] |
| </td>
| | | Binulo |
| <td>| -95 0 41 &gt;<br />
| | | 2(19u1o)-2 |
| </td>
| | | 363/361 |
| <td>238.862<br />
| | | {{Monzo| 0 1 0 0 2 0 0 -2 }} |
| </td>
| | | 9.5649 |
| </tr>
| | | [[User:Xenllium|Xenllium]] (2023) |
| <tr>
| | |- |
| <td>Schismic thirds chromatic semitone<br />
| | | [[190/189|Cotylisma]] |
| </td>
| | | Noruyo |
| <td><br />
| | | 19ory1 |
| </td>
| | | 190/189 |
| <td>| -123 0 53 &gt;<br />
| | | {{Monzo| 1 -3 1 -1 0 0 0 1 }} |
| </td>
| | | 9.1358 |
| <td>74.627<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| </tr>
| | | [[209/208|Yama comma]] |
| <tr>
| | | Nothulo |
| <td>meantone Integer cents comma<br />
| | | 19o3u1o1 |
| </td>
| | | 209/208 |
| <td><br />
| | | {{Monzo| -4 0 0 0 1 -1 0 1 }} |
| </td>
| | | 8.3033 |
| <td>| -1393 0 600 &gt;<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>188.228<br />
| | | [[210/209|Spleen comma]] |
| </td>
| | | Nuluzoyo |
| </tr>
| | | 19u1uzy1 |
| <tr>
| | | 210/209 |
| <td>enipucrop<br />
| | | {{Monzo| 1 1 1 1 -1 0 0 -1 }} |
| </td>
| | | 8.2637 |
| <td>1125 / 1024<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>| -10 2 3 &gt;<br />
| | | [[1083/1078|Bihendrixma]] |
| </td>
| | | Nonolururu |
| <td>162.851<br />
| | | 19oo1urr1 |
| </td>
| | | 1083/1078 |
| </tr>
| | | {{Monzo| -1 1 0 -2 -1 0 0 2 }} |
| <tr>
| | | 8.0113 |
| <td>supersharp<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>800 / 729<br />
| | | [[286/285|Chthonisma]] |
| </td>
| | | Nuthologu |
| <td>| 5 -6 2 &gt;<br />
| | | 19u3o1og1 |
| </td>
| | | 286/285 |
| <td>160.897<br />
| | | {{Monzo| 1 -1 -1 0 1 1 0 -1 }} |
| </td>
| | | 6.0639 |
| </tr>
| | | [[User:Xenllium|Xenllium]] (2023) |
| <tr>
| | |- |
| <td>gorgo<br />
| | | [[324/323|Photisma]] |
| </td>
| | | Nusu |
| <td>2187 / 2000<br />
| | | 19u17u-2 |
| </td>
| | | 324/323 |
| <td>| -4 7 -3 &gt;<br />
| | | {{Monzo| 2 4 0 0 0 0 -1 -1 }} |
| </td>
| | | 5.3516 |
| <td>154.744<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| </tr>
| | | [[343/342|Nutrisma]] |
| <tr>
| | | Nutrizo |
| <td>large limma<br />
| | | 19u3z2 |
| </td>
| | | 343/342 |
| <td><a class="wiki_link" href="/27_25">27 / 25</a><br />
| | | {{Monzo| -1 -2 0 3 0 0 0 -1 }} |
| </td>
| | | 5.0547 |
| <td>| 0 3 -1&gt;<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>133.238<br />
| | | [[Triraptor comma]] |
| </td>
| | | Trinuso-azogu |
| </tr>
| | | 3(19u17o)zg2 |
| <tr>
| | | 34391/34295 |
| <td>lemba<br />
| | | {{Monzo|0 0 -1 1 0 0 3 -3}} |
| </td>
| | | 4.8394 |
| <td>140625 / 131072<br />
| | | [[User:Kaiveran|Kaiveran]] (2023) |
| </td>
| | |- |
| <td>| -17 2 6 &gt;<br />
| | | [[361/360|Go comma]], dudon comma |
| </td>
| | | Nonogu |
| <td>121.792<br />
| | | 19oog2 |
| </td>
| | | 361/360 |
| </tr>
| | | {{Monzo| -3 -2 -1 0 0 0 0 2 }} |
| <tr>
| | | 4.8023 |
| <td>sixix<br />
| | | [[User:Xenwolf|Xenwolf]] (2013) for ''go comma'' |
| </td>
| | |- |
| <td>3125 / 2916<br />
| | | [[400/399|Devichroma]] |
| </td>
| | | Nuruyoyo |
| <td>| -2 -6 5 &gt;<br />
| | | 19uryy-2 |
| </td>
| | | 400/399 |
| <td>119.839<br />
| | | {{Monzo| 4 -1 2 -1 0 0 0 -1 }} |
| </td>
| | | 4.3335 |
| </tr>
| | | [[User:Xenllium|Xenllium]] (2023) |
| <tr>
| | |- |
| <td>diesma<br />
| | | [[456/455|Abnobisma]] |
| </td>
| | | Nothurugu |
| <td>10460353203 / 9765625000<br />
| | | 19o3urg1 |
| </td>
| | | 456/455 |
| <td>| -3 21 -13 &gt;<br />
| | | {{Monzo| 3 1 -1 -1 0 -1 0 1 }} |
| </td>
| | | 3.8007 |
| <td>118.977<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| </tr>
| | | [[476/475|Hedwigma]] |
| <tr>
| | | Nusozogugu |
| <td>comic<br />
| | | 19u17ozgg2 |
| </td>
| | | 476/475 |
| <td>5120000 / 4782969<br />
| | | {{Monzo| 2 0 -2 1 0 0 1 -1 }} |
| </td>
| | | 3.6409 |
| <td>| 13 -14 4 &gt;<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>117.885<br />
| | | [[495/494|Eulalisma]] |
| </td>
| | | Nuthuloyo |
| </tr>
| | | 19u3u1oy-2 |
| <tr>
| | | 495/494 |
| <td>just diatonic semitone<br />
| | | {{Monzo| -1 2 1 0 1 -1 0 -1 }} |
| </td>
| | | 3.5010 |
| <td><a class="wiki_link" href="/16_15">16 / 15</a><br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </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 />
| | === 23-limit commas === |
| <!-- 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>
| | {| class="wikitable" |
|
| | |- |
| | ! Name(s) |
| | ! colspan="2" | [[Color name]] |
| | ! [[Ratio]] |
| | ! [[Monzo]] |
| | ! [[Cent]]s |
| | ! Named by |
| | |- |
| | | [[187/184]] |
| | | Twethusolo |
| | | 23u17o1o1 |
| | | 187/184 |
| | | 2.11.17.23 {{monzo| -3 1 1 -1 }} |
| | | 27.999 |
| | | |
| | |- |
| | | [[69/68|Large vicesimotertial 1/8-tone]] |
| | | Twethosu |
| | | 23o17u1 |
| | | 69/68 |
| | | 2.3.17.23 {{monzo| -2 1 -1 1 }} |
| | | 25.274 |
| | |[[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[70/69|Small vicesimotertial 1/8-tone]] |
| | | Twethuzoyo |
| | | 23uzy1 |
| | | 70/69 |
| | | 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }} |
| | | 24.910 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[92/91|Undinisma]] |
| | | Twethothuru |
| | | 23o3ur1 |
| | | 92/91 |
| | | 2.7.13.23 {{monzo| 2 -1 -1 1 }} |
| | | 18.921 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[736/729|23-limit Tenney/Cage comma]] |
| | | Satwetho |
| | | s23o2 |
| | | 736/729 |
| | | 2.3.23 {{monzo| 5 -6 1 }} |
| | | 16.544 |
| | | [[Stephen Weigel]] (2023) |
| | |- |
| | | [[115/114|Yarmanisma]] |
| | | Twethonuyo |
| | | 23o19uy1 |
| | | 115/114 |
| | | 2.3.5.19.23 {{monzo| -1 -1 1 -1 1 }} |
| | | 15.120 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[161/160|Major kirnbergerisma]] |
| | | Twethozogu |
| | | 23ozg2 |
| | | 161/160 |
| | | 2.5.7.23 {{monzo| -5 -1 1 1 }} |
| | | 10.787 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[162/161|Minor kirnbergerisma]] |
| | | Twethuru |
| | | 23ur-2 |
| | | 162/161 |
| | | 2.3.7.23 {{monzo| 1 4 -1 -1 }} |
| | | 10.720 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[208/207|Vicetone comma]] |
| | | Twethutho |
| | | 23u3o1 |
| | | 208/207 |
| | | 2.3.13.23 {{monzo| 4 -2 1 -1 }} |
| | | 8.3433 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[231/230|Major neutravicema]] |
| | | Twethulozogu |
| | | 23u1ozg1 |
| | | 231/230 |
| | | {{monzo| -1 1 -1 1 1 0 0 0 -1 }} |
| | | 7.5108 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[253/252|Middle neutravicema]] |
| | | Twetholoru |
| | | 23o1or1 |
| | | 253/252 |
| | | 2.3.7.11.23 {{monzo| -2 -2 -1 1 1 }} |
| | | 6.8564 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[276/275|Minor neutravicema]] |
| | | Twetholugugu |
| | | 23o1ugg2 |
| | | 276/275 |
| | | 2.3.5.11.23 {{monzo| 2 1 -2 -1 1 }} |
| | | 6.2840 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | 21-23-comma |
| | | Trisa-septritwethu |
| | | 3s21(23u)-8 |
| | | 281474976710656 / <br>280462473659039 |
| | | 2.23 {{monzo| 95 -21 }} |
| | | 6.2387 |
| | | |
| | |- |
| | | [[300/299|Major naiadvicema]] |
| | | Twethuthuyoyo |
| | | 23u3uyy-2 |
| | | 300/299 |
| | | 2.3.5.13.23 {{monzo| 2 1 2 -1 -1 }} |
| | | 5.7804 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[323/322|Major semivicema]] |
| | | Twethunosoru |
| | | 23u19o17or1 |
| | | 323/322 |
| | | 2.7.17.19.23 {{monzo| -1 -1 1 1 -1 }} |
| | | 5.3682 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[391/390|Minor naiadvicema]] |
| | | Twethosothugu |
| | | 23o17o3ug2 |
| | | 391/390 |
| | | {{monzo| -1 -1 -1 0 0 -1 1 0 1 }} |
| | | 4.4334 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[392/391|Minor semivicema]] |
| | | Twethusuzozo |
| | | 23u17uzz1 |
| | | 392/391 |
| | | 2.7.17.23 {{monzo| 3 2 -1 -1 }} |
| | | 4.4221 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[460/459|Scanisma, vicewolf comma]] |
| | | Twethosuyo |
| | | 23o17uy1 |
| | | 460/459 |
| | | 2.3.5.17.23 {{monzo| 2 -3 1 -1 1 }} |
| | | 3.7676 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[484/483|Pittsburghisma]] |
| | | Twethuloloru |
| | | 23u1oor-2 |
| | | 484/483 |
| | | 2.3.7.11.23 {{monzo| 2 -1 -1 2 -1 }} |
| | | 3.5806 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === 29-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | ! Name(s) |
| </th>
| | ! colspan="2" | [[Color name]] |
| <th>ratio<br />
| | ! Ratio |
| </th>
| | ! Monzo |
| <th>monzo<br />
| | ! Cents |
| </th>
| | ! Named by |
| <th>cents<br />
| | |- |
| </th>
| | | Classical mediant of Didymus' and Archytas' commas |
| </tr>
| | | Twenothuluyo |
| <tr>
| | | 29o3u1uy1 |
| <td>hexatone comma<br />
| | | 145/143 |
| </td>
| | | 5.11.13.29 {{monzo| 1 -1 -1 1 }} |
| <td>131072 / 117649<br />
| | | 24.045 |
| </td>
| | | |
| <td>| 17 0 0 -6 &gt;<br />
| | |- |
| </td>
| | | [[88/87|Farewell comma]] |
| <td>187.045<br />
| | | Twenulo |
| </td>
| | | 29u1o1 |
| </tr>
| | | 88/87 |
| <tr>
| | | 2.3.11.29 {{monzo| 3 -1 1 -1 }} |
| <td>major hendecatone comma<br />
| | | 19.786 |
| </td>
| | | |
| <td>2147483648 / 1977326743<br />
| | |- |
| </td>
| | | [[116/115|Sironisma]] |
| <td>| 31 0 0 -11 &gt;<br />
| | | Twenotwethugu |
| </td>
| | | 29o23ug1 |
| <td>142.915<br />
| | | 116/115 |
| </td>
| | | 2.5.23.29 {{monzo| 2 -1 -1 1 }} |
| </tr>
| | | 14.989 |
| <tr>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td><span style="font-size: 12.8000001907349px;">hexadecatone comma</span><br />
| | |- |
| </td>
| | | [[117/116|Lomisma]] |
| <td><br />
| | | Twenutho |
| </td>
| | | 29u3o1 |
| <td>| 45 0 0 -16 &gt;<br />
| | | 117/116 |
| </td>
| | | 2.3.13.29 {{monzo| -2 2 1 -1 }} |
| <td>98.7855<br />
| | | 14.860 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| </tr>
| | |- |
| <tr>
| | | [[145/144|29th-partial chroma]] |
| <td><br />
| | | Twenoyo |
| </td>
| | | 29oy1 |
| <td><br />
| | | 145/144 |
| </td>
| | | 2.3.5.29 {{monzo| -4 -2 1 1 }} |
| <td>| 59 0 0 -21 &gt;<br />
| | | 11.981 |
| </td>
| | | [[User:Flirora|Flirora]] (2023) |
| <td>54.656<br />
| | |- |
| </td>
| | | [[175/174|Major chthonovinema]] |
| </tr>
| | | Twenuzoyoyo |
| <tr>
| | | 29uzyy1 |
| <td>Hunt 7-cycle comma<br />
| | | 175/174 |
| </td>
| | | 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }} |
| <td><br />
| | | 9.9211 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td>| 73 0 0 -26 &gt;<br />
| | |- |
| </td>
| | | [[204/203|Kallistisma]] |
| <td>10.526<br />
| | | Twenusoru |
| </td>
| | | 29u17or1 |
| </tr>
| | | 204/203 |
| <tr>
| | | 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }} |
| <td>German sixth comma<br />
| | | 8.5073 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td><br />
| | |- |
| </td>
| | | [[232/231|Major paravinema]] |
| <td>| -87 0 0 31 &gt;<br />
| | | Twenoluru |
| </td>
| | | 29o1ur1 |
| <td>33.603<br />
| | | 232/231 |
| </td>
| | | 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }} |
| </tr>
| | | 7.4783 |
| <tr>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td><br />
| | |- |
| </td>
| | | [[Jackpot comma]] |
| <td><br />
| | | Laseptweno |
| </td>
| | | L7(29o)1 |
| <td>| -101 0 0 36 &gt;<br />
| | | 17249876309 / 17179869184 |
| </td>
| | | 2.29 {{monzo| -34 7 }} |
| <td>77.737<br />
| | | 7.0404 |
| </td>
| | | [[Eliora]] (2024) |
| </tr>
| | |- |
| <tr>
| | | [[261/260|Major vinetonema]] |
| <td><br />
| | | Twenothugu |
| </td>
| | | 29o3ug1 |
| <td><br />
| | | 261/260 |
| </td>
| | | 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }} |
| <td>| -115 0 0 41 &gt;<br />
| | | 6.6458 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td>121.862<br />
| | |- |
| </td>
| | | [[290/289|Brunisma]] |
| </tr>
| | | Twenosusuyo |
| <tr>
| | | 29o17uuy-2 |
| <td><br />
| | | 290/289 |
| </td>
| | | 2.5.17.29 {{monzo| 1 1 -2 1 }} |
| <td><br />
| | | 5.9801 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td>| 159 0 0 -53 &gt;<br />
| | |- |
| </td>
| | | [[320/319|Minor paravinema]] |
| <td>252.227<br />
| | | Twenuluyo |
| </td>
| | | 29u1uy1 |
| </tr>
| | | 320/319 |
| <tr>
| | | 2.5.11.29 {{monzo| 6 1 -1 -1 }} |
| <td>slendro integer cents comma<br />
| | | 5.4186 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td><br />
| | |- |
| </td>
| | | [[378/377|Major semivinema]] |
| <td>| 1127 0 0 -400 &gt;<br />
| | | Twenuthuzo |
| </td>
| | | 29u3uz1 |
| <td>69.637<br />
| | | 378/377 |
| </td>
| | | 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }} |
| </tr>
| | | 4.5861 |
| <tr>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <td>greenwoodma<br />
| | |- |
| </td>
| | | [[406/405|Minor semivinema]] |
| <td>405 / 392<br />
| | | Twenozogu |
| </td>
| | | 29ozg2 |
| <td>| -3 4 1 -2 &gt;<br />
| | | 406/405 |
| </td>
| | | 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }} |
| <td>56.482<br />
| | | 4.2694 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| </tr>
| | |- |
| <tr>
| | | [[494/493|Minor vinetonema]] |
| <td>Harrison's comma<br />
| | | Twenunosutho |
| </td>
| | | 29u19o17u3o1 |
| <td>59049 / 57344<br />
| | | 494/493 |
| </td>
| | | 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }} |
| <td>| -13 10 0 -1 &gt;<br />
| | | 3.5081 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2024) |
| <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 />
| | === 31-limit commas === |
| <br />
| | {| class="wikitable" |
| <!-- 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>
| | ! Name(s) |
|
| | ! colspan="2" | [[Color name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | ! Named by |
| | |- |
| | | [[63/62|31-limit co-archyta]] |
| | | Thiwuzo |
| | | 31uz2 |
| | | 63/62 |
| | | 2.3.7.31 {{monzo| -1 2 1 -1 }} |
| | | 27.700 |
| | | [[Xenwolf]] (2020) |
| | |- |
| | | [[93/92|Tricema]] |
| | | Thiwotwethu |
| | | 31o23u-2 |
| | | 93/92 |
| | | 2.3.23.31 {{monzo| -2 1 -1 1 }} |
| | | 18.716 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[125/124|Twizzler]] |
| | | Thiwutriyo |
| | | 31u3y1 |
| | | 125/124 |
| | | 2.5.31 {{monzo| -2 3 -1 }} |
| | | 13.906 |
| | | [[Xenwolf]] (2020) |
| | |- |
| | | [[155/154|Scyllisma]] |
| | | Thiwoluruyo |
| | | 31o1ury-2 |
| | | 155/154 |
| | | 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }} |
| | | 11.205 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[156/155|Xanthippisma]] |
| | | Thiwuthogu |
| | | 31u3og2 |
| | | 156/155 |
| | | 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }} |
| | | 11.133 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[187/186|Lambertisma]] |
| | | Thiwusolo |
| | | 31u17o1o2 |
| | | 187/186 |
| | | 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }} |
| | | 9.2828 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[217/216|Tricesimoprimal kleisma]] |
| | | Thiwozo |
| | | 31oz1 |
| | | 217/216 |
| | | 2.3.7.31 {{monzo| -3 -3 1 1 }} |
| | | 7.9965 |
| | | |
| | |- |
| | | [[248/247|Lameisma]] |
| | | Thiwonuthu |
| | | 31o19u3u-2 |
| | | 248/247 |
| | | 2.13.19.31 {{monzo| 3 -1 -1 1 }} |
| | | 6.9949 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[280/279|Tricetone comma]] |
| | | Thiwuzoyo |
| | | 31uzy2 |
| | | 280/279 |
| | | 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }} |
| | | 6.1940 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[Junebug comma]] |
| | | Thiwutweno twethunuso tholuzoyo |
| | | 31u29o23u19u 17o3o1uzy2 |
| | | 448630/447051 |
| | | {{monzo| 1 -1 1 1 -1 1 1 -1 -1 1 -1 }} |
| | | 6.1040 |
| | | [[Tristan Bay]] (2024) |
| | |- |
| | | [[341/340|Californisma]] |
| | | Thiwosulogu |
| | | 31o17u1og-2 |
| | | 341/340 |
| | | 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }} |
| | | 5.0844 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[342/341|Endymisma]] |
| | | Thiwunolu |
| | | 31u19o1u2 |
| | | 342/341 |
| | | 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }} |
| | | 5.0695 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[435/434|Chinthisma]] |
| | | Thiwutwenoruyo |
| | | 31u29ory1 |
| | | 435/434 |
| | | 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }} |
| | | 3.9844 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[465/464|Alektisma]] |
| | | Thiwotwenuyo |
| | | 31o29uy-2 |
| | | 465/464 |
| | | 2.3.5.29.31 {{monzo| -4 1 1 -1 1 }} |
| | | 3.7271 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === Higher-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | ! Name(s) |
| </th>
| | ! colspan="2" | [[Color name]] |
| <th>ratio<br />
| | ! Ratio |
| </th>
| | ! Monzo |
| <th>monzo<br />
| | ! Cents |
| </th>
| | ! Named by |
| <th>cents<br />
| | |- |
| </th>
| | | [[714984/704969|Lightyear comma]] |
| </tr>
| | | |
| <tr>
| | | 89u<sup>3</sup>31o<sup>3</sup>-2 |
| <td>obtuse undecimal neutral third, exaggerated pentadecatone comma<br />
| | | 714984/704969 |
| </td>
| | | 2.3.31.89 {{monzo| 3 1 3 -3 }} |
| <td>161051 / 131072<br />
| | | 24.421 |
| </td>
| | | [[Budjarn Lambeth]] (2023) |
| <td>| -17 0 0 0 5 &gt;<br />
| | |- |
| </td>
| | | [[82/81|41-limit Johnston comma]] |
| <td>356.950<br />
| | | Fowo |
| </td>
| | | 41o1 |
| </tr>
| | | 82/81 |
| <tr>
| | | 2.3.41 {{monzo| 1 -4 1 }} |
| <td>obtuse undecimal subminor third<br />
| | | 21.242 |
| </td>
| | | [[Stephen Weigel]] (2023) |
| <td>19487171 / 16777216<br />
| | |- |
| </td>
| | | [[2883/2848|Lilac comma]] |
| <td>| -24 0 0 0 7 &gt;<br />
| | | |
| </td>
| | | 89u31oo-2 |
| <td>259.226<br />
| | | 2883/2848 |
| </td>
| | | 2.3.31.89 {{monzo| -5 1 2 -1 }} |
| </tr>
| | | 21.146 |
| <tr>
| | | [[Budjarn Lambeth]] (2023) |
| <td>obtuse undecimal neutral second, 11-cycle <span style="font-size: 12.8000001907349px;">enipucrop</span><br />
| | |- |
| </td>
| | | [[86/85|43-limit 10th-tone]], large quadracesimotertial 1/10-tone |
| <td>2357947691 / 2147483648<br />
| | | Fothosugu |
| </td>
| | | 43o17ug1 |
| <td>| -31 0 0 0 9 &gt;<br />
| | | 86/85 |
| </td>
| | | 2.5.17.43 {{monzo| 1 -1 -1 1 }} |
| <td>161.8615<br />
| | | 20.249 |
| </td>
| | | [[Mister Shaf]] (2025) |
| </tr>
| | |- |
| <tr>
| | | [[87/86|43-limit 10th-tone]], small quadracesimotertial 1/10-tone |
| <td>11-cycle chroma<br />
| | | Fothutweno |
| </td>
| | | 43u29o1 |
| <td><br />
| | | 87/86 |
| </td>
| | | 2.3.29.43 {{monzo| -1 1 1 -1 }} |
| <td>| -38 0 0 0 11 &gt;<br />
| | | 20.014 |
| </td>
| | | |
| <td>64.497<br />
| | |- |
| </td>
| | | [[89/88|Tailwind comma]] |
| </tr>
| | | |
| <tr>
| | | 89o1u1 |
| <td><br />
| | | 89/88 |
| </td>
| | | 2.11.89 {{monzo| -3 -1 1 }} |
| <td><br />
| | | 19.562 |
| </td>
| | | [[Budjarn Lambeth]] (2023) |
| <td>| 45 0 0 0 -13 &gt;<br />
| | |- |
| </td>
| | | [[389/385|Rebbe comma]] |
| <td>32.867<br />
| | | |
| </td>
| | | 389o1urg1 |
| </tr>
| | | 389/385 |
| <tr>
| | | 5.7.11.389 {{monzo| -1 -1 -1 1 }} |
| <td><br />
| | | 17.8794 |
| </td>
| | | [[Mister Shaf]] (2025) |
| <td><br />
| | |- |
| </td>
| | | [[8277/8192|Lilly pilly comma]] |
| <td>| 52 0 0 0 -15 &gt;<br />
| | | |
| </td>
| | | 89o31o-2 |
| <td>130.231<br />
| | | 8277/8192 |
| </td>
| | | 2.3.31.89 {{monzo| -13 1 1 1 }} |
| </tr>
| | | 17.871 |
| <tr>
| | | [[Budjarn Lambeth]] (2023) |
| <td>sterno<br />
| | |- |
| </td>
| | | [[8000/7921|Incisor comma]] |
| <td>352 / 343<br />
| | | |
| </td>
| | | 89uu3y1 |
| <td>| 5 0 0 -3 1 &gt;<br />
| | | 8000/7921 |
| </td>
| | | 2.5.89 {{monzo| 6 3 -2 }} |
| <td>44.840<br />
| | | 17.181 |
| </td>
| | | [[Budjarn Lambeth]] (2023) |
| </tr>
| | |- |
| <tr>
| | | [[129/128|43-limit Johnston comma]] |
| <td>the Igs boson<br />
| | | Fotho |
| </td>
| | | 43o1 |
| <td>35184372088832 / 34522712143931<br />
| | | 129/128 |
| </td>
| | | 2.3.43 {{monzo| -7 1 1 }} |
| <td>| 45 0 0 0 -13 &gt;<br />
| | | 13.473 |
| </td>
| | | [[Stephen Weigel]] (2023) |
| <td>32.867<br />
| | |- |
| </td>
| | | [[979/972|Basement comma]] |
| </tr>
| | | |
| <tr>
| | | 89o1o1 |
| <td>telepathma<br />
| | | 979/972 |
| </td>
| | | 2.3.11.89 {{monzo| -2 -5 1 1 }} |
| <td>55 / 54<br />
| | | 12.423 |
| </td>
| | | [[Budjarn Lambeth]] (2023) |
| <td>| -1 -3 1 0 1 &gt;<br />
| | |- |
| </td>
| | | [[226/225|Reversed marvel comma]] |
| <td>31.767<br />
| | | |
| </td>
| | | 113ogg2 |
| </tr>
| | | 226/225 |
| <tr>
| | | 2.3.5.113 {{monzo| 1 -2 -2 1 }} |
| <td>thuja comma<br />
| | | 7.6773 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td>163840 / 161051<br />
| | |- |
| </td>
| | | [[Sidereal comma]] |
| <td>| 15 0 1 0 -5 &gt;<br />
| | | |
| </td>
| | | 73u61og1 |
| <td>29.724<br />
| | | 366/365 |
| </td>
| | | 2.3.5.61.73 {{monzo| 1 1 -1 1 -1 }} |
| </tr>
| | | 4.7366 |
| <tr>
| | | [[User:Frostburn|Frostburn]] (2024) |
| <td>sensmus<br />
| | |- |
| </td>
| | | [[381/380|Five feet comma]] |
| <td>1232 / 1215<br />
| | | |
| </td>
| | | 127o19ug1 |
| <td>| 4 -5 -1 1 1 &gt;<br />
| | | 381/380 |
| </td>
| | | 2.3.5.19.127 [-2 1 -1 -1 1⟩ |
| <td>24.055<br />
| | | 4.5499 |
| </td>
| | | [[Eliora]] (2022) |
| </tr>
| | |- |
| <tr>
| | | [[481/480|Semaphorisma]] |
| <td>sevnothrush<br />
| | | Thisothogu |
| </td>
| | | 37o3og2 |
| <td>3168 / 3125<br />
| | | 481/480 |
| </td>
| | | 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }} |
| <td>| 5 2 -5 0 1 &gt;<br />
| | | 3.6030 |
| </td>
| | | [[User:Kaiveran|Kaiveran]] (2023) |
| <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 />
| | == List of irrational commas == |
| <!-- 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>
| | For intervals expressible as edosteps, see [[Interval size measure]]. We skip them here for brevity. |
|
| |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | ! Name(s) |
| <th>name(s)<br />
| | ! colspan="2" | [[Color name]] |
| </th>
| | ! Ratio |
| <th>ratio<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>monzo<br />
| | ! Named by |
| </th>
| | |- |
| <th>cents<br />
| | | [[Caffeinterval]] |
| </th>
| | | |
| </tr>
| | | |
| <tr>
| | | 2<sup>((7/12) - (1/sqrt(3)))</sup> |
| <td>astbury<br />
| | | |
| </td>
| | | 7.1797 |
| <td>4826809 / 4718592<br />
| | | [[User:R-4981|R-4981]] (2023) |
| </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 />
| | == See also == |
| <!-- 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>
| | * [[Comma and diesis]] |
|
| |
|
| |
|
| <table class="wiki_table">
| | [[Category:Small commas| ]] <!-- main article --> |
| <tr>
| | [[Category:Lists of commas]] |
| <th>name(s)<br />
| | {{todo|complete table|add color name}} |
| </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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| |
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| |
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| |