|
|
| (426 intermediate revisions by 44 users not shown) |
| Line 1: |
Line 1: |
| <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. In [[Sagittal notation]], intervals in the smaller part of this category are [[kleisma #As an interval region|kleismas]], and intervals in the larger part of this category are [[comma #As an interval region|commas]]<ref>[https://sagittal.org/sagittal.pdf ''Sagittal – A Microtonal Notation System''] by [[George Secor|George D. Secor]] and [[Dave Keenan|David C. Keenan]]</ref>. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-07-26 16:27:35 UTC</tt>.<br>
| |
| : The original revision id was <tt>555760747</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Definition=
| |
|
| |
|
| A **comma** is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, and generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is //[[tempering out|tempered out]]//, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in [[cent]]s.
| | For commas over 100 cents in size, see [[Large 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]]. |
|
| |
|
| For commas over 100 cents in size, see [[Large commas]]
| | 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. |
|
| |
|
| =List of commas, by prime limit=
| | 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 to just refer to a comma by the monzo or ratio, whichever is simpler. |
|
| |
|
| ==3-limit commas== | | == List of commas, by prime limit == |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | === 3-limit commas === |
| || limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 > || 90.225 ||
| | {{See also| Table of 3-limit commas }} |
| || [[Pythagorean comma]] || 531441 / 524288 || | -19 12 > || 23.460 ||
| |
| || [[17-comma]] || 134217728 / 129140163 || | 27 -17 > || 66.765 ||
| |
| || [[29-comma]] || [[tel/70368744177664|70368744177664]] / [[tel/68630377364883|68630377364883]] || | 46 -29 > || 43.305 ||
| |
| || [[41-comma]] || 36893488147419103232 / 36472996377170786403 || | 65 -41 > || 19.845 ||
| |
| || Pythagorean Integer cents comma || || | 317 -200 > || 9.000 ||
| |
| || [[Mercator's comma]], 53-comma || 19383245667680019896796723 / 19342813113834066795298816 || | -84 53 > || 3.615 ||
| |
| || Sasktel comma, <span style="line-height: 1.5;">51-</span>Pythagorean comma || || | 485 -306 > || 1.770 ||
| |
| || [[Satanic comma]] || || | -1054 665 > || 0.076 ||
| |
|
| |
|
| ==5-limit commas== | | {| class="wikitable" |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| | ! Name(s) |
| || Twenty-two thirds limma || || | -51 0 22 > || 98.902 ||
| | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| || sibbolet || || | -58 0 25 > || 57.843 ||
| | ! [[Ratio]] |
| || Hunt 5-cycle comma || || | -65 0 28 > || 16.784 ||
| | ! [[Monzo]] |
| || acute thirds comma || || | 72 0 -31 > || 24.275 ||
| | ! [[Cents]] |
| || 34-5-comma || || | 79 0 -34 > || 65.334 ||
| | ! Named by |
| || Schismic thirds chromatic semitone || || | -123 0 53 > || 74.627 ||
| | |- |
| || 10-15-comma || || | -39 10 10 > || 82.687 ||
| | | 241-comma |
| || 11-15-comma || || | 43 -11 -11 > || 29.044 ||
| | | 241wama |
| || 21-15-comma || || | 82 -21 -21 > || 53.643 ||
| | | 241wM |
| || 32-15-comma || || | 125 -32 -32 > || 24.599 ||
| | | |
| || Huntian 15-cycle comma || || | -168 43 43 > || 4.445 ||
| | | {{Monzo| 382 -241 }} |
| || 53-15-comma || || | -207 53 53 > || 78.242 ||
| | | 28.845 |
| || 54-15-comma || || | 211 -54 -54 > || 33.489 ||
| | | |
| || 76-15-comma || || | 297 -76 -76 > || 91.578 ||
| | |- |
| || major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 > || 92.179 ||
| | | 65-comma, <br>Pythagorean septimal comma |
| || ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 ||
| | | 65wama, Thequiwama |
| || doublewide || 390625 / 373248 || | -9 -6 8 > || 78.780 ||
| | | 65wM |
| || sevond || 5000000 / 4782969 || | 6 -14 7 > || 76.826 ||
| | | |
| || nusecond || 51018336 / 48828125 || | 5 13 -11 > || 75.964 ||
| | | {{Monzo| -103 65 }} |
| || sentinel || [[tel/8968066875|8968066875]] / [[tel/8589934592|8589934592]] || | -33 15 4 > || 74.580 ||
| | | 27.075 |
| || chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 > || 70.672 ||
| | | |
| || chromatic semitones comma || || | -52 -17 34 > || 4.715 || | | |- |
| || superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 > || 68.719 ||
| | | [[Pythagorean comma]] |
| || major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 || | | | Lalawama, Poma |
| || passion || 262144 / 253125 || | 18 -4 -5 > || 60.611 || | | | LLwM |
| || shibboleth || 1953125 / 1889568 || | -5 -10 9 > || 57.273 ||
| | | 531441 / 524288 |
| || mynic || 10077696 / 9765625 || | 9 9 -10 > || 54.458 || | | | {{Monzo| -19 12 }} |
| || tritonic || 553584375 / 536870912 || | -29 11 5 > || 53.074 || | | | 23.460 |
| || [[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 || | | | [[41-comma]], Pythagorean countercomma, <br>countercomp comma |
| || diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 > || 41.059 ||
| | | 41wama, Fowewama |
| || wizard || [[tel/2197265625|2197265625]] / [[tel/2147483648|2147483648]] || | -31 2 12 > || 39.675 || | | | 41wM |
| || sycamore || 48828125 / 47775744 || | -16 -6 11 > || 37.721 ||
| | | <abbr title="36893488147419103232 / 36472996377170786403">(40 digits)</abbr> |
| || fifive || 9765625 / 9565938 || | -1 -14 10 > || 35.767 || | | | {{Monzo| 65 -41 }} |
| || unicorn || 1594323 / 1562500 || | -2 13 -8 > || 34.905 || | | | 19.845 |
| || valensixthtone || 1990656 / 1953125 || | 13 5 -9 > || 32.952 ||
| | | [[Flora Canou]] (2022) |
| || [[ampersand]], Ampersand's comma || 34171875 / 33554432 || | -25 7 6 > || 31.567 ||
| | |- |
| || small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 > || 29.614 || | | | [[94-comma]], garistearn comma |
| || minimal diesis, [[tetracot comma]] || 20000 / 19683 || | 5 -9 4 > || 27.660 || | | | 94wama, Fosebiwama |
| || roda || 131072000 / 129140163 || | 20 -17 3 > || 25.706 || | | | 94wM |
| || maja || 762939453125 / 753145430616 || | -3 -23 17 > || 22.368 || | | | |
| || syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 > || 21.506 ||
| | | {{Monzo| 149 -94 }} |
| || [[Maquila family|maquila comma]] || 562949953421312 / 556182861328125 || |49 -6 -17> || 20.937 ||
| | | 16.230 |
| || 56-syntonic comma || || | 225 -224 56 > || 1.431 ||
| | | [[User:Xenllium|Xenllium]] (2021) |
| || [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 > || 19.553 || | | |- |
| || ditonma || 1220703125 / 1207959552 || | -27 -2 13 > || 18.168 || | | | 147-comma |
| || [[misty comma]] || 67108864 / 66430125 || | 26 -12 -3 > || 17.599 || | | | 147wama |
| || [[Pental family|pental comma]] || 847288609443 / 838860800000 || |-28 25 -5> || 17.306 ||
| | | 147wM |
| || [[graviton]], [[Gravity family|gravity]] comma || 129140163 / 128000000 || | -13 17 -6 > || 15.353 || | | | |
| || quartonic || 390625000 / 387420489 || | 3 -18 11 > || 14.261 || | | | {{Monzo| 233 -147 }} |
| || medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 || | | | 12.615 |
| || [[Würschmidt comma]] || 393216 / 390625 || | 17 1 -8 > || 11.445 || | | | |
| || [[semicomma]], Fokker comma || 2109375 / 2097152 || | -21 3 7 > || 10.061 ||
| | |- |
| || [[escapade comma]] || || | 32 -7 -9 > || 9.492 ||
| | | 200-comma, <br>Pythagorean integer-cent ET comma |
| || [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 ||
| | | 200wama |
| || unidecma || 31381059609 / 31250000000 || | -7 22 -12 > || 7.245 ||
| | | 200wM |
| || [[mutt comma]] || || | -44 -3 21 > || 6.723 ||
| | | |
| || [[amity comma]] || 1600000 / 1594323 || | 9 -13 5 > || 6.154 || | | | {{Monzo| 317 -200 }} |
| || [[parakleisma]] || || | 8 14 -13 > || 5.292 || | | | 8.9998 |
| || gammic comma || || | -29 -11 20 > || 4.769 ||
| | | |
| || [[vulture comma]] || || | 24 -21 4 > || 4.200 || | | |- |
| || rubidia || || | -67 -9 35> || 3.385 || | | | 253-comma |
| || [[vishnuzma]], semisuper || 6115295232]] / 6103515625 || | 23 6 -14 > || 3.338 ||
| | | 253wama |
| || 15-3/5-comma || || | -11 -15 15 > || 65.381 || | | | 253wM |
| || [[enneadeca]], 19-tone-comma || || | -14 -19 19 > || 2.816 || | | | |
| || 23-3/5-comma || || | 17 23 -23 > || 59.750 || | | | {{Monzo| 401 -253 }} |
| || 34-3/5-comma || || | -25 -34 34 > || 68.196 || | | | 5.3848 |
| || 53-3/5-comma || || | 39 53 -53 > || 71.012 ||
| | | |
| || vavoom || || | -68 18 17 > || 2.523 || | | |- |
| || tricot comma || || | 39 -29 3 > || 2.246 || | | | [[Mercator's comma]], 53-comma |
| || schisma || [[32805_32768|32805 / 32768]] || | -15 8 1 > || 1.954 ||
| | | 53wama, Fithewama |
| || counterschisma || || | -69 45 -1 > || 1.661 ||
| | | 53wM |
| || septendecima || || | -52 -17 34 > || 1.431 || | | | <abbr title="19383245667680019896796723 / 19342813113834066795298816">(52 digits)</abbr> |
| || hemithirds comma, lunama || 274877906944]] / 274658203125]] || | 38 -2 -15 > || 1.384 ||
| | | {{Monzo| -84 53 }} |
| || minortone comma || || | -16 35 -17 > || 1.092 || | | | 3.6150 |
| || [[Ennealimmal|ennealimma]] || 7629394531250 / 7625597484987]] || | 1 -27 18 > || 0.862 || | | | |
| || astro || || | 91 -12 -31 > || 0.815 ||
| | |} |
| || kwazy || || | -53 10 16 > || 0.569 || | |
| || whoosh || || | 37 25 -33 > || 0.522 || | |
| || egads || || | -36 -52 51 > || 0.339 ||
| |
| || monzisma || || | 54 -37 2 > || 0.292 || | |
| || fortune || || | -107 47 14 > || 0.277 || | |
| || gross || || | 144 -22 -47 > || 0.245 || | |
| || senior || || | -17 62 -35 > || 0.230 || | |
| || raider || || | 71 -99 37 > || 0.062 ||
| |
| || pirate || || | -90 -15 49 > || 0.047 || | |
| || viking || || | -251 69 61 > || 0.032 || | |
| || atom || || | 161 -84 -12 > || 0.015 ||
| |
| || selenia || || | -433 -137 280 > || 0.004764 || | |
| || titania || || | [[tel/2746 -521 -827|2746 -521 -827]] > || 0.003183 ||
| |
| || quark || || | -537 237 85 > || 0.000884 || | |
| || rover || || | 1634 1502 -1729 > || 0.000028 ||
| |
| || rascal || || | -7470 2791 1312 > || 0.000006 || | |
|
| |
|
| ==7-limit commas== | | === 5-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || hexadecatone comma, 16-7-comma || || | 45 0 0 -16 > || 98.7855 ||
| | ! Name(s) |
| || 21-7-comma || || | 59 0 0 -21 > || 54.656 || | | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| || Hunt 7-cycle comma || || | 73 0 0 -26 > || 10.526 || | | ! [[Ratio]] |
| || German sixth comma || || | -87 0 0 31 > || 33.603 || | | ! [[Monzo]] |
| || 36-7-comma || || | -101 0 0 36 > || 77.737 || | | ! [[Cents]] |
| || 47-7-comma || || | 132 0 0 0 -47 > || 65.182 || | | ! Named by |
| || slendro integer cents comma || || | 1127 0 0 -400 > || 69.637 || | | |- |
| || 29-7/5-comma || || | -14 0 -29 29 > || 92.854 || | | | [[Magic comma]], small diesis |
| || 31-7/5-comma || || | -15 0 -31 31 > || 57.878 || | | | Laquinyoma |
| || 33-7/5-comma || || | -16 0 -33 33 > || 22.902 || | | | L5yM |
| || 35-7/5-comma || || | 18 0 35 -35 > || 12.073 || | | | 3125 / 3072 |
| || 37-7/5-comma || || | 19 0 37 -37 > || 47.049 || | | | {{Monzo| -10 -1 5 }} |
| || 39-7/5-comma || || | 20 0 39 -39 > || 82.0245 || | | | 29.614 |
| || 5-21-comma || 4194304 / 4084101 || | 22 -5 0 -5 > || 46.0955 || | | | |
| || 18-21-comma || || | -79 18 0 18 > || 74.056 || | | |- |
| || 23-21-comma || || | -101 23 0 23 > || 27.961 || | | | [[Triscordial comma]] |
| || Huntian 21-cycle comma || || | 123 -28 0 -28 > || 18.135 || | | | Tribila-triyoma |
| || 33-21-comma || || | 145 -33 0 -33 > || 64.230 || | | | 6L3yM |
| || 38-21-comma || || | 167 -38 0 -38 > || 110.3255 || | | | <abbr title="18761829412124890125 / 18446744073709551616">(40 digits)</abbr> |
| || 43-21-comma || || | 189 -43 0 -43 > || 156.421 || | | | {{Monzo| -64 36 3 }} |
| || 7-35-comma || || | 36 0 -7 -7 > || 114.023 || | | | 29.321 |
| || 8-35-comma || || | -41 0 8 8 > || 41.117 || | | | [[User:Xenllium|Xenllium]] (2026) |
| || 15-35-comma || || | 77 0 -15 -15 > || 72.906 || | | |- |
| || 23-35-comma || || | 118 0 -23 -23 > || 31.789 || | | | [[Hendecatonic comma]] |
| || 31-35-comma || || | -159 0 31 31 > || 9.328 || | | | Trisa-leguma |
| || 39-35-comma || || | -200 0 39 39 > || 50.445 || | | | 3s11gM |
| || 47-35-comma || || | -241 0 47 47 > || 91.562 || | | | 8796093022208 / 8649755859375 |
| || Huntian 35-cycle comma || || | 277 0 -54 -54 > || 22.4605 || | | | {{Monzo| 43 -11 -11 }} |
| || greenwoodma || 405 / 392 || | -3 4 1 -2 > || 56.482 || | | | 29.044 |
| || Harrison's comm\/a || 59049 / 57344 || | -13 10 0 -1 > || 50.724 || | | | |
| || keega || 1029 / 1000 || | -3 1 -3 3 > || 49.492 || | | |- |
| || septimal quarter tone || [[36_35|36 / 35]] || | 2 2 -1 -1 > || 48.770 ||
| | | [[Devil's tridecalimma]] |
| || quarter tone comma || || | 49 50 -25 -25 > || 19.2595 || | | | Lala-theguma |
| || cloudy || 16807 / 16384 || | -14 0 0 5 > || 44.130 || | | | LL13gM |
| || avicennma, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 || | | | 2541865828329 / 2500000000000 |
| || slendro diesis || [[49_48|49 / 48]] || | -4 -1 0 2 > || 35.597 ||
| | | {{Monzo| -11 26 -13 }} |
| || slendro 34-comma || || | -137 -34 0 68 > || 13.692 || | | | 28.752 |
| || 34-jubilismic comma || || | -33 0 -68 68 > || 10.829 || | | | |
| || tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 ||
| | |- |
| || eric || 839808 / 823543 || | 7 8 0 -7 > || 33.859 || | | | [[Anthoine comma]] |
| || senga || 686 / 675 || | 1 -3 -2 3 > || 27.985 || | | | Trila-quinquadyoma |
| || septimal comma, Archytas' comma, Leipziger Komma || [[64_63|64 / 63]] || | 6 -2 0 -1 > || 27.264 ||
| | | 3L20yM |
| || 44-septimal comma || || | -263 88 0 44 > || 0.294 || | | | 286102294921875 / 281474976710656 |
| || blackjackisma || 854296875 / 843308032 || | -10 7 8 -7 > || 22.413 || | | | {{Monzo| -48 1 20 }} |
| || squalentine || 64827 / 64000 || | -9 3 -3 4 > || 22.227 || | | | 28.229 |
| || keema || 875 / 864 || | -5 -3 3 1 > || 21.902 || | | | |
| || gariboh || 3125 / 3087 || | 0 -2 5 -3 > || 21.181 || | | |- |
| || nuwell || 2430 / 2401 || | 1 5 1 -4 > || 20.785 || | | | [[Tetracot comma]], minimal diesis |
| || tolerma || 179200 / 177147 || | 10 -11 2 1 > || 19.948 || | | | Saquadyoma |
| || mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 || | | | s4yM |
| || trimyna || 50421 / 50000 || | -4 1 -5 5 > || 14.516 || | | | 20000 / 19683 |
| || sensamagic || 245 / 243 || | 0 -5 1 2 > || 14.191 || | | | {{Monzo| 5 -9 4 }} |
| || septimal semicomma, starling comma || [[126_125|126 / 125]] || | 1 2 -3 1 > || 13.795 ||
| | | 27.660 |
| || octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 || | | | |
| || orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 || | | |- |
| || quince || 823543 / 819200 || | -15 0 -2 7 > || 9.154 || | | | [[Biscordial comma]] |
| || gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 || | | | Quadla-yoyoma |
| || varunisma || 321489 / 320000 || | -9 8 -4 2 > || 8.037 || | | | 4LyyM |
| || septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 > || 7.712 ||
| | | 571919811374025 / 562949953421312 |
| || dimcomp || 390625 / 388962 || | -1 -4 8 -4 > || 7.386 || | | | {{Monzo| -49 28 2 }} |
| || cataharry || 19683 / 19600 || | -4 9 -2 -2 > || 7.316 || | | | 27.367 |
| || mirkwai || 16875 / 16807 || | 0 3 4 -5 > || 6.990 || | | | [[User:Xenllium|Xenllium]] (2026) |
| || stearnsma || 118098 / 117649 || | 1 10 0 -6 > || 6.595 || | | |- |
| || hemimage || 10976 / 10935 || | 5 -7 -1 3 > || 6.479 || | | | [[Semaja comma]] |
| || hemimean || 3136 / 3125 || | 6 0 -5 2 > || 6.083 || | | | Lala-neyoma |
| || hemifamity || 5120 / 5103 || | 10 -6 1 -1 > || 5.758 || | | | LL19yM |
| || linus || 578509309952 / 576650390625 || | 11 -10 -10 10 > || 5.572 || | | | 19073486328125 / 18786186952704 |
| || porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 ||
| | | {{Monzo| -33 -7 19 }} |
| || garischisma || 33554432 / 33480783 || | 25 -14 0 -1 > || 3.804 ||
| | | 26.276 |
| || wadisma || 201768035 / 201326592 || | -26 -1 1 9 > || 3.792 ||
| | | [[Petr Pařízek]] (2011) |
| || quasiorwellisma || 29360128 / 29296875 || | 22 -1 -10 1 > || 3.734 ||
| | |- |
| || horwell || 65625 / 65536 || | -16 1 5 1 > || 2.349 ||
| | | [[Quanic comma]] |
| || meter || 703125 / 702464 || | -11 2 7 -3 > || 1.628 ||
| | | Sepsa-quinyoma |
| || wizma || 420175 / 419904 || | -6 -8 2 5 > || 1.117 ||
| | | 7s5yM |
| || breedsma || [[2401_2400|2401 / 2400]] || | -5 -1 -2 4 > || 0.721 ||
| | | |
| || ragisma || 4375 / 4374 || | -1 -7 4 1 > || 0.396 ||
| | | {{Monzo| 74 -54 5 }} |
| || akjaysma, 5\7 octave comma || 140737488355328 / 140710042265625 || | 47 -7 -7 -7 > || 0.338 ||
| | | 25.999 |
| || landscape || 250047 / 250000 || | -4 6 -6 3 > || 0.325 ||
| | | |
| || starscape || 645700815 / 645657712 || | -4 17 1 -9 > || 0.116 ||
| | |- |
| || euzenius || 78125000 / 78121827 || | 3 -13 10 -2 > || 0.070 ||
| | | [[Roda]], rodan comma |
| || termite || 37252902984619140625000000000 / 37252879910233655318543787489 || | 9 -28 37 -18 > || 0.001072 ||
| | | Sasa-triyoma |
| || neutrino || || | 1889 -2145 138 424 > || 1.636 * 10^-10 ||
| | | ss3yM |
| | | 131072000 / 129140163 |
| | | {{Monzo| 20 -17 3 }} |
| | | 25.706 |
| | | |
| | |- |
| | | [[Gracecordial comma]] |
| | | Trilayoma |
| | | 3LyM |
| | | 17433922005 / 17179869184 |
| | | {{Monzo| -34 20 1 }} |
| | | 25.414 |
| | | |
| | |- |
| | | [[Trisedodge comma]] |
| | | Saquintriguma |
| | | s15gM |
| | | 30958682112 / 30517578125 |
| | | {{Monzo| 19 10 -15 }} |
| | | 24.844 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Birds comma]] |
| | | Quadsa-thiweguma |
| | | 4s31gM |
| | | |
| | | {{Monzo| 72 0 -31 }} |
| | | 24.275 |
| | | |
| | |- |
| | | [[Neuk comma]] |
| | | Trisa-yoyoma |
| | | 3syyM |
| | | 858993459200 / 847288609443 |
| | | {{Monzo| 35 -25 2 }} |
| | | 23.752 |
| | | [[User:CompactStar|CompactStar]] (2023) |
| | |- |
| | | [[Maja comma]] |
| | | Saseyoma |
| | | s17yM |
| | | 762939453125 / 753145430616 |
| | | {{Monzo| -3 -23 17 }} |
| | | 22.368 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Satin comma]] |
| | | Quinbisa-triyoma |
| | | 10s3yM |
| | | |
| | | {{Monzo| 104 -70 3 }} |
| | | 22.091 |
| | | |
| | |- |
| | | [[Misneb comma]] |
| | | Quadla-quintriyoma |
| | | 4L15yM |
| | | <abbr title="145964630126953125 / 144115188075855872">(36 digits)</abbr> |
| | | {{Monzo| -57 14 15 }} |
| | | 22.076 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Syntonic comma]], Didymus comma, meantone comma |
| | | Guma |
| | | gM |
| | | 81 / 80 |
| | | {{Monzo| -4 4 -1 }} |
| | | 21.506 |
| | | |
| | |- |
| | | [[Maquila comma]] |
| | | Trisa-seguma |
| | | 3s17gM |
| | | 562949953421312 / 556182861328125 |
| | | {{Monzo| 49 -6 -17 }} |
| | | 20.937 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Sfourth comma]] |
| | | Lala-neguma |
| | | LL19gM |
| | | 617673396283947 / 610351562500000 |
| | | {{Monzo| -5 31 -19 }} |
| | | 20.644 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Diaschisma]] |
| | | Saguguma |
| | | sggM |
| | | 2048 / 2025 |
| | | {{Monzo| 11 -4 -2 }} |
| | | 19.553 |
| | | Hermann von Helmholtz, Alexander Ellis (1875) |
| | |- |
| | | [[Countermeantone comma]] |
| | | Quinquadguma |
| | | 20gM |
| | | 96402615118848 / 95367431640625 |
| | | {{Monzo| 10 23 -20 }} |
| | | 18.691 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | [[Ditonma]] |
| | | Lala-theyoma |
| | | LL13yM |
| | | 1220703125 / 1207959552 |
| | | {{Monzo| -27 -2 13 }} |
| | | 18.168 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Misty comma]] |
| | | Sasa-triguma |
| | | ss3gM |
| | | 67108864 / 66430125 |
| | | {{Monzo| 26 -12 -3 }} |
| | | 17.599 |
| | | [[Paul Erlich]] (2002) |
| | |- |
| | | [[Quintile comma]] |
| | | Trila-quinguma |
| | | 3L5gM |
| | | 847288609443 / 838860800000 |
| | | {{Monzo| -28 25 -5 }} |
| | | 17.306 |
| | | See the dedicated page. |
| | |- |
| | | [[Enneadecacot comma]] |
| | | Tribisa-neguma |
| | | 6s19gM |
| | | <abbr title="604462909807314587353088 / 598546211414337158203125">(48 digits)</abbr> |
| | | {{monzo| 79 -22 -19 }} |
| | | 17.029 |
| | | [[User:CompactStar|CompactStar]] (2024) |
| | |- |
| | | [[Oquatonic comma]] |
| | | Quadla-sepquadyoma |
| | | 4L28yM |
| | | <abbr title="37252902984619140625 / 36893488147419103232">(40 digits)</abbr> |
| | | {{Monzo| -65 0 28 }} |
| | | 16.784 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Undim comma]] |
| | | Trisa-quadguma |
| | | 3s4gM |
| | | 2199023255552 / 2179240250625 |
| | | {{Monzo| 41 -20 -4 }} |
| | | 15.645 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Graviton]], gravity comma |
| | | Lala-tribiguma |
| | | LL6gM |
| | | 129140163 / 128000000 |
| | | {{Monzo| -13 17 -6 }} |
| | | 15.353 |
| | | [[Mike Battaglia]] (2011) |
| | |- |
| | | [[Majvam comma]] |
| | | Sasa-lebiguma |
| | | ss22gM |
| | | <abbr title="2404631929946112 / 2384185791015625">(32 digits)</abbr> |
| | | {{Monzo| 40 7 -22 }} |
| | | 14.783 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Quartonic comma]] |
| | | Saleyoma |
| | | s11yM |
| | | 390625000 / 387420489 |
| | | {{Monzo| 3 -18 11 }} |
| | | 14.261 |
| | | |
| | |- |
| | | [[Untritonic comma]] |
| | | Quadla-tritriyoma |
| | | 4L9yM |
| | | <abbr title="2270041927734375 / 2251799813685248">(32 digits)</abbr> |
| | | {{Monzo| -51 19 9 }} |
| | | 13.968 |
| | | [[Petr Pařízek]] (2011) |
| | |- |
| | | [[Quindromeda comma]] |
| | | Quinsa-quinguma |
| | | 5s5gM |
| | | <abbr title="72057594037927936 / 71489976421753125">(34 digits)</abbr> |
| | | {{Monzo| 56 -28 -5 }} |
| | | 13.691 |
| | | [[User:Xenllium|Xenllium]] (2021) |
| | |- |
| | | [[Sensipent comma]], medium semicomma |
| | | Sepguma |
| | | 7gM |
| | | 78732 / 78125 |
| | | {{Monzo| 2 9 -7 }} |
| | | 13.399 |
| | | |
| | |- |
| | | [[Copper comma]] |
| | | Theneyoma |
| | | 41L29yM |
| | | |
| | | {{Monzo| -481 261 29 }} |
| | | 13.353 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Counterwürschmidt comma]] |
| | | Trisa-twetheguma |
| | | 3s23gM |
| | | <abbr title="36028797018963968 / 35762786865234375">(34 digits)</abbr> |
| | | {{Monzo| 55 -1 -23 }} |
| | | 12.830 |
| | | [[Flora Canou]] (2023) |
| | |- |
| | | [[Tertiosec comma]] |
| | | Laquadtribiyoma |
| | | 6L24yM |
| | | |
| | | {{Monzo| -89 21 24 }} |
| | | 12.584 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | [[Submajor comma]] |
| | | Trila-quadbiyoma |
| | | 3L8yM |
| | | 69198046875 / 68719476736 |
| | | {{Monzo| -36 11 8 }} |
| | | 12.015 |
| | | |
| | |- |
| | | [[Würschmidt comma]] |
| | | Saquadbiguma |
| | | s8gM |
| | | 393216 / 390625 |
| | | {{Monzo| 17 1 -8 }} |
| | | 11.445 |
| | | |
| | |- |
| | | [[Bicommatic comma]] |
| | | Quadla-quinbiguma |
| | | 4L10gM |
| | | <abbr title="1350851717672992089 / 1342177280000000000">(38 digits)</abbr> |
| | | {{Monzo| -37 38 -10 }} |
| | | 11.153 |
| | | |
| | |- |
| | | [[Counterhanson comma]] |
| | | Quinquinyoma |
| | | 25yM |
| | | <abbr title="298023223876953125 / 296148833645101056">(36 digits)</abbr> |
| | | {{Monzo| -20 -24 25 }} |
| | | 10.923 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | [[Countritonic comma]] |
| | | Quadsa-tritriyoma |
| | | 4s9yM |
| | | <abbr title="16777216000000000 / 16677181699666569">(34 digits)</abbr> |
| | | {{Monzo| 33 -34 9 }} |
| | | 10.353 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | [[Semicomma]], Fokker's comma |
| | | Lasepyoma |
| | | L7yM |
| | | 2109375 / 2097152 |
| | | {{Monzo| -21 3 7 }} |
| | | 10.061 |
| | | |
| | |- |
| | | [[Heptacot comma]] |
| | | Sepsa-sepguma |
| | | 7s7gM |
| | | |
| | | {{Monzo| 86 -44 -7 }} |
| | | 9.7840 |
| | | [[Tristan Bay]] (2024) |
| | |- |
| | | [[Escapade comma]] |
| | | Sasa-tritriguma |
| | | ss9gM |
| | | 4294967296 / 4271484375 |
| | | {{Monzo| 32 -7 -9 }} |
| | | 9.4916 |
| | | [[Paul Erlich]] (2002) |
| | |- |
| | | [[Undetritisma]], twentcufo comma |
| | | Trila-leguma |
| | | 3L11gM |
| | | 205891132094649 / 204800000000000 |
| | | {{Monzo| -22 30 -11 }} |
| | | 9.1992 |
| | | |
| | |- |
| | | [[15625/15552|Kleisma]], semicomma majeur |
| | | Tribiyoma |
| | | 6yM |
| | | 15625 / 15552 |
| | | {{Monzo| -6 -5 6 }} |
| | | 8.1073 |
| | | {{W|Shohé Tanaka}} (1890) |
| | |- |
| | | [[Quintosec comma]] |
| | | Quadsa-quinbiguma |
| | | 4s10gM |
| | | 140737488355328 / 140126044921875 |
| | | {{Monzo| 47 -15 -10 }} |
| | | 7.5378 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | 59-5-comma |
| | | Quadbisa-fineguma |
| | | 8s59gM |
| | | |
| | | {{Monzo| 137 0 -59 }} |
| | | 7.4909 |
| | | |
| | |- |
| | | [[Unidecma]] |
| | | Laquadtriguma |
| | | L12gM |
| | | 31381059609 / 31250000000 |
| | | {{Monzo| -7 22 -12 }} |
| | | 7.2455 |
| | | |
| | |- |
| | | [[Mutt comma]] |
| | | Trila-septriyoma |
| | | 3L21yM |
| | | 476837158203125 / 474989023199232 |
| | | {{Monzo| -44 -3 21 }} |
| | | 6.7230 |
| | | [[Gene Ward Smith]] (2004) |
| | |- |
| | | [[Sulfur comma]] |
| | | Lela-quadquadguma |
| | | 11L16gM |
| | | |
| | | {{Monzo| -115 96 -16 }} |
| | | 6.6607 |
| | | |
| | |- |
| | | [[Amity comma]] |
| | | Saquinyoma |
| | | s5yM |
| | | 1600000 / 1594323 |
| | | {{Monzo| 9 -13 5 }} |
| | | 6.1536 |
| | | [[Gene Ward Smith]] (2001) |
| | |- |
| | |[[Alchemisma]] |
| | |Quinla-quadtritriyo |
| | |5L36yM |
| | | <abbr title="14551915228366851806640625/14507109835375550096474112">(52 digits)</abbr> |
| | |{{Monzo|-82 -1 36}} |
| | |5.3387 |
| | |[[Tristan Bay]] (2026) |
| | |- |
| | | [[Parakleisma]] |
| | | Theguma |
| | | 13gM |
| | | 1224440064 / 1220703125 |
| | | {{Monzo| 8 14 -13 }} |
| | | 5.2917 |
| | | [[Gene Ward Smith]] (2001) |
| | |- |
| | | [[Gammic comma]] |
| | | Laquinquadyoma |
| | | L20yM |
| | | 95367431640625 / 95105071448064 |
| | | {{Monzo| -29 -11 20 }} |
| | | 4.7693 |
| | | |
| | |- |
| | | [[Squarschmidt comma]] |
| | | Quadsa-tweneguma |
| | | 4s29gM |
| | | <abbr title="186773283746309210112 / 186264514923095703125">(42 digits)</abbr> |
| | | {{Monzo| 61 4 -29 }} |
| | | 4.7223 |
| | | [[Petr Pařízek]] (2012) |
| | |- |
| | | 43-15-comma, Huntian 15-cycle comma |
| | | Quadtrisa-fotheguma |
| | | 12s43gM |
| | | |
| | | {{Monzo| 168 -43 -43 }} |
| | | 4.4453 |
| | | |
| | |- |
| | | [[Barium comma]] |
| | | Quadtribila-sepquadbiguma |
| | | 24L56gM |
| | | |
| | | {{Monzo| -225 224 -56 }} |
| | | 4.3522 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Vulture comma]] |
| | | Sasa-quadyoma |
| | | ss4yM |
| | | 10485760000 / 10460353203 |
| | | {{Monzo| 24 -21 4 }} |
| | | 4.1998 |
| | | [[Paul Erlich]] (2002) |
| | |- |
| | | [[Dipromethia]] |
| | | Thebila-siweyoma |
| | | 26L61yM |
| | | |
| | | {{Monzo| -335 122 61 }} |
| | | 3.6467 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Lafa comma]] |
| | | Tribisa-quadtriguma |
| | | 6s12gM |
| | | |
| | | {{Monzo| 77 -31 -12 }} |
| | | 3.6304 |
| | | [[Petr Pařízek]] (2011) |
| | |} |
|
| |
|
| | === 7-limit commas === |
| | {| class="wikitable" |
| | ! Name(s) |
| | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| | ! [[Ratio]] |
| | ! [[Monzo]] |
| | ! [[Cents]] |
| | ! Named by |
| | |- |
| | | [[3645/3584|Schismean comma]] |
| | | Laruyoma |
| | | LryM |
| | | 3645 / 3584 |
| | | {{Monzo| -9 6 1 -1 }} |
| | | 29.218 |
| | | [[Xenllium]] (2022) |
| | |- |
| | | [[Doublehearted comma]] |
| | | Quadbizoma |
| | | 8zM |
| | | 5764801 / 5668704 |
| | | {{Monzo| -5 -11 0 8 }} |
| | | 29.102 |
| | | [[Xenllium]] (2023) |
| | |- |
| | | [[Frostburn comma]] |
| | | Quadru-asepyoma |
| | | 4ra7yM |
| | | 78125 / 76832 |
| | | {{Monzo| -5 0 7 -4 }} |
| | | 28.892 |
| | | |
| | |- |
| | | [[686/675|Senga]] |
| | | Trizo-aguguma |
| | | 3zaggM |
| | | 686 / 675 |
| | | {{Monzo| 1 -3 -2 3 }} |
| | | 27.985 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | 23-21-comma |
| | | Sepla-twethezoma |
| | | 7L23zM |
| | | |
| | | {{Monzo| -101 23 0 23 }} |
| | | 27.961 |
| | | |
| | |- |
| | | [[64/63|Septimal comma]], Archytas' comma, Leipziger Komma |
| | | Ruma |
| | | rM |
| | | 64 / 63 |
| | | {{Monzo| 6 -2 0 -1 }} |
| | | 27.264 |
| | | |
| | |- |
| | | [[Mandos comma]] |
| | | Biruguguma |
| | | 2rggM |
| | | 31104 / 30625 |
| | | {{Monzo| 7 5 -4 -2 }} |
| | | 26.868 |
| | | |
| | |- |
| | | [[Slither comma]] |
| | | Satritriru-aquadyoma |
| | | s9ra4yM |
| | | 40960000 / 40353607 |
| | | {{Monzo| 16 0 4 -9 }} |
| | | 25.822 |
| | | [[Xenllium]] (2022) |
| | |- |
| | | [[Bastille comma]] |
| | | |
| | | |
| | | |
| | | {{Monzo| 1426 0 -596 -15 }} |
| | | 24.638 |
| | | [[Eliora]] (2023) |
| | |- |
| | | 33-7/5-comma |
| | | Letrizoguma |
| | | 33zgM |
| | | |
| | | {{Monzo| -16 0 -33 33 }} |
| | | 22.902 |
| | | |
| | |- |
| | | Huntian 35-cycle comma |
| | | Quintrisa-tritritribiruguma |
| | | 15s54rgM |
| | | |
| | | {{Monzo| 277 0 -54 -54 }} |
| | | 22.461 |
| | | |
| | |- |
| | | [[Blackjackisma]] |
| | | Lasepru-aquadbiyoma |
| | | L7ra8yM |
| | | 854296875 / 843308032 |
| | | {{Monzo| -10 7 8 -7 }} |
| | | 22.413 |
| | | [[Gene Ward Smith]] (2011) |
| | |- |
| | | [[Squalentine comma]] |
| | | Laquadzo-atriguma |
| | | L4za3gM |
| | | 64827 / 64000 |
| | | {{Monzo| -9 3 -3 4 }} |
| | | 22.227 |
| | | |
| | |- |
| | | [[875/864|Keema]] |
| | | Zotriyoma |
| | | z3yM |
| | | 875 / 864 |
| | | {{Monzo| -5 -3 3 1 }} |
| | | 21.902 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Betelgeuse comma]] |
| | | Satritrizo-aguguma |
| | | s9zaggM |
| | | 40353607 / 39858075 |
| | | {{Monzo| 0 -13 -2 9 }} |
| | | 21.391 |
| | | |
| | |- |
| | | [[Rin comma]] |
| | | lezo-aquadtriguma |
| | | 11za12gM |
| | | 1977326743 / 1953125000 |
| | | {{Monzo| -3 -0 -12 11 }} |
| | | 21.320 |
| | | [[User:Iii kaisei iii|Kaisei]] (2026) |
| | |- |
| | | [[3125/3087|Gariboh comma]] |
| | | Triru-aquinyoma |
| | | 3ra5yM |
| | | 3125 / 3087 |
| | | {{Monzo| 0 -2 5 -3 }} |
| | | 21.181 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Secanticornisma]] |
| | | Laruquinguma |
| | | Lr5gM |
| | | 177147 / 175000 |
| | | {{Monzo| -3 11 -5 -1 }} |
| | | 21.111 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[2430/2401|Nuwell comma]] |
| | | Quadru-ayoma |
| | | 4rayM |
| | | 2430 / 2401 |
| | | {{Monzo| 1 5 1 -4 }} |
| | | 20.785 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Septimagic comma]] |
| | | Saquinzoma |
| | | s5zM |
| | | 537824 / 531441 |
| | | {{Monzo| 5 -12 0 5 }} |
| | | 20.670 |
| | | [[Xenllium]] (2026) |
| | |- |
| | | [[Mermisma]] |
| | | Sepruyoma |
| | | 7ryM |
| | | 2500000 / 2470629 |
| | | {{Monzo| 5 -1 7 -7 }} |
| | | 20.460 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Negricorn comma]], small quadruple bluish |
| | | Saquadzoguma |
| | | s4zgM |
| | | 153664 / 151875 |
| | | {{monzo| 6 -5 -4 4 }} |
| | | 20.274 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Tolerant comma]] |
| | | Sazoyoyoma |
| | | szyyM |
| | | 179200 / 177147 |
| | | {{Monzo| 10 -11 2 1 }} |
| | | 19.948 |
| | | |
| | |- |
| | | [[Icosipentatonic comma]], 25-36/35-comma |
| | | Quinquinruguma |
| | | 25rgM |
| | | |
| | | {{Monzo| 49 50 -25 -25 }} |
| | | 19.260 |
| | | |
| | |- |
| | | [[Valenwuer comma]] |
| | | Sarutribiguma |
| | | sr6gM |
| | | 110592 / 109375 |
| | | {{Monzo| 12 3 -6 -1 }} |
| | | 19.157 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Buzzardsma]], buzzard comma |
| | | Saquadruma |
| | | s4rM |
| | | 65536 / 64827 |
| | | {{Monzo| 16 -3 0 -4 }} |
| | | 18.831 |
| | | See the page. |
| | |- |
| | | Huntian 21-cycle comma |
| | | Quadbisa-sepquadruma |
| | | 8s28rM |
| | | |
| | | {{Monzo| 123 -28 0 -28 }} |
| | | 18.135 |
| | | |
| | |- |
| | | [[Mirwomo comma]] |
| | | Labizoyoma |
| | | L2zyM |
| | | 33075 / 32768 |
| | | {{Monzo| -15 3 2 2 }} |
| | | 16.144 |
| | | |
| | |- |
| | | [[Catasyc comma]] |
| | | Laruquadbiyoma |
| | | Lr8yM |
| | | 390625 / 387072 |
| | | {{Monzo| -11 -3 8 -1 }} |
| | | 15.819 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Compass comma]] |
| | | Quinruyoyoma |
| | | 5ryyM |
| | | 9765625 / 9680832 |
| | | {{monzo| -6 -2 10 -5 }} |
| | | 15.098 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Sensibeta comma]] |
| | | Satrizo-aquinyoma |
| | | s3za5yM |
| | | 1071875 / 1062882 |
| | | {{monzo| -1 -12 5 3 }} |
| | | 14.586 |
| | | [[Xenllium]] (2026) |
| | |- |
| | | [[Trimyna comma]] |
| | | Quinzoguma |
| | | 5zgM |
| | | 50421 / 50000 |
| | | {{monzo| -4 1 -5 5 }} |
| | | 14.516 |
| | | |
| | |- |
| | | [[245/243|Sensamagic comma]] |
| | | Zozoyoma |
| | | zzyM |
| | | 245 / 243 |
| | | {{monzo| 0 -5 1 2 }} |
| | | 14.191 |
| | | [[Gene Ward Smith]] (2010) |
| | |- |
| | | [[126/125|Starling comma]], septimal semicomma |
| | | Zotriguma |
| | | z3gM |
| | | 126 / 125 |
| | | {{Monzo| 1 2 -3 1 }} |
| | | 13.795 |
| | | |
| | |- |
| | | [[Vermeil comma]], 34-49/48-comma |
| | | Quinla-sequadzoma |
| | | 5L68zM |
| | | |
| | | {{Monzo| -137 -34 0 68 }} |
| | | 13.692 |
| | | {{U|Perry.k}} (2026) |
| | |- |
| | | [[4000/3969|Octagar comma]] |
| | | Rurutriyoma |
| | | rr3yM |
| | | 4000 / 3969 |
| | | {{Monzo| 5 -4 3 -2 }} |
| | | 13.469 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[1728/1715|Orwellisma]] |
| | | Triru-aguma |
| | | 3ragM |
| | | 1728 / 1715 |
| | | {{Monzo| 6 3 -1 -3 }} |
| | | 13.074 |
| | | |
| | |- |
| | | [[Mynaslender comma]] |
| | | Sepru-ayoma |
| | | 7rayM |
| | | 829440 / 823543 |
| | | {{Monzo| 11 4 1 -7 }} |
| | | 12.352 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | 35-7/5-comma |
| | | Sepquinruyoma |
| | | 35ryM |
| | | |
| | | {{Monzo| 17 0 35 -35 }} |
| | | 12.073 |
| | | |
| | |- |
| | | [[Chromatisma]] |
| | | Trisa-triru-aquadquadyoma |
| | | 3s3ra16yM |
| | | <abbr title="640000000000000000 / 635585924776181463">(36 digits)</abbr> |
| | | {{Monzo| 22 -32 16 -3 }} |
| | | 11.982 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Mistisma]] |
| | | Sazoquadguma |
| | | sz4gM |
| | | 458752 / 455625 |
| | | {{Monzo| 16 -6 -4 1 }} |
| | | 11.841 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Bronzisma]] |
| | | Satriru-aguguma |
| | | s3raggM |
| | | 2097152 / 2083725 |
| | | {{Monzo| 21 -5 -2 -3 }} |
| | | 11.120 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | 34-jubilismic comma |
| | | Sequadzoguma |
| | | 68zgM |
| | | |
| | | {{Monzo| -33 0 -68 68 }} |
| | | 10.829 |
| | | |
| | |- |
| | | [[Fynn's comma]], 26-7-comma, Hunt 7-cycle comma |
| | | Quadsa-thebiruma |
| | | 4s26rM |
| | | <abbr title="9444732965739290427392 / 9387480337647754305649">(44 digits)</abbr> |
| | | {{Monzo| 73 0 0 -26 }} |
| | | 10.526 |
| | | [[Fynn Cerulean]] (2026) for ''Fynn's comma'' |
| | |- |
| | | [[Septiness comma]] |
| | | Sasasepruma |
| | | ss7rM |
| | | 67108864 / 66706983 |
| | | {{Monzo| 26 -4 0 -7 }} |
| | | 10.399 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[31-35-comma]] |
| | | Tritrila-thiwezoyoma |
| | | 9L31zyM |
| | | |
| | | {{Monzo| -159 0 31 31 }} |
| | | 9.3282 |
| | | |
| | |- |
| | | [[Quince comma]] |
| | | Lasepzo-aguguma |
| | | L7zaggM |
| | | 823543 / 819200 |
| | | {{Monzo| -15 0 -2 7 }} |
| | | 9.1539 |
| | | |
| | |- |
| | | [[Uniwiz comma]] |
| | | Quadzoyoma |
| | | 4zyM |
| | | 1500625 / 1492992 |
| | | {{Monzo| -11 -6 4 4 }} |
| | | 8.8285 |
| | | |
| | |- |
| | | [[Historisma]] |
| | | Latribizoguma |
| | | L6zgM |
| | | 257298363 / 256000000 |
| | | {{Monzo| -14 7 -6 6 }} |
| | | 8.7582 |
| | | [[ArrowHead294]] (2024) |
| | |- |
| | | [[1029/1024|Gamelisma]] |
| | | Latrizoma |
| | | L3zM |
| | | 1029 / 1024 |
| | | {{Monzo| -10 1 0 3 }} |
| | | 8.4327 |
| | | |
| | |- |
| | | [[Varunisma]] |
| | | Labizoguguma |
| | | L2zggM |
| | | 321489 / 320000 |
| | | {{Monzo| -9 8 -4 2 }} |
| | | 8.0370 |
| | | |
| | |- |
| | | [[225/224|Marvel comma]], septimal kleisma |
| | | Ruyoyoma |
| | | ryyM |
| | | 225 / 224 |
| | | {{Monzo| -5 2 2 -1 }} |
| | | 7.7115 |
| | | [[Gene Ward Smith]] (2003) |
| | |- |
| | | [[Dimcomp comma]] |
| | | Quadruyoyoma |
| | | 4ryyM |
| | | 390625 / 388962 |
| | | {{Monzo| -1 -4 8 -4 }} |
| | | 7.3861 |
| | | |
| | |- |
| | | [[Cataharry comma]] |
| | | Labiruguma |
| | | L2rgM |
| | | 19683 / 19600 |
| | | {{Monzo| -4 9 -2 -2 }} |
| | | 7.3158 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[Procyon comma]] |
| | | Sasepzo-atriguma |
| | | s7za3gM |
| | | 823543 / 820125 |
| | | {{Monzo| 0 -8 -3 7 }} |
| | | 7.2002 |
| | | |
| | |- |
| | | [[Qiqi comma]] |
| | | Sepruyoyoma |
| | | 7ryyM |
| | | 48828125000 / 48629390607 |
| | | {{Monzo| 3 -10 14 -7 }} |
| | | 7.0606 |
| | | [[User:Angekallikoita|Ange]] (2025) |
| | |- |
| | | [[Canopic comma]] |
| | | Quinru-aquadyoma |
| | | 5ra4yM |
| | | 16875 / 16807 |
| | | {{Monzo| 0 3 4 -5 }} |
| | | 6.9903 |
| | | |
| | |- |
| | | [[Cathartic comma]] |
| | | Saquadzo-atriyoma |
| | | s4za3yM |
| | | 4802000 / 4782969 |
| | | {{Monzo| 4 -14 3 4 }} |
| | | 6.8748 |
| | | [[Flora Canou]] (2026) |
| | |- |
| | | [[Triwellisma]] |
| | | Tribizo-asepguma |
| | | 6za7gM |
| | | 235298 / 234375 |
| | | {{Monzo| 1 -1 -7 6 }} |
| | | 6.8044 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Stearnsma]] |
| | | Latribiruma |
| | | L6rM |
| | | 118098 / 117649 |
| | | {{Monzo| 1 10 0 -6 }} |
| | | 6.5946 |
| | | |
| | |- |
| | | [[Hemimage comma]] |
| | | Satrizo-aguma |
| | | s3zagM |
| | | 10976 / 10935 |
| | | {{Monzo| 5 -7 -1 3 }} |
| | | 6.4790 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[3136/3125|Hemimean comma]] |
| | | Zozoquinguma |
| | | zz5gM |
| | | 3136 / 3125 |
| | | {{Monzo| 6 0 -5 2 }} |
| | | 6.0832 |
| | | [[Gene Ward Smith]] (2005) |
| | |- |
| | | [[5120/5103|Aberschisma]] |
| | | Saruyoma |
| | | sryM |
| | | 5120 / 5103 |
| | | {{Monzo| 10 -6 1 -1 }} |
| | | 5.7578 |
| | | [[Tristan Bay]] (2024) |
| | |- |
| | | [[Parkleiness comma]] |
| | | Zotritriguma |
| | | z9gM |
| | | 1959552 / 1953125 |
| | | {{Monzo| 7 7 -9 1 }} |
| | | 5.6875 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Octaphore comma]], enneagari comma |
| | | Sasa-quadbizoma |
| | | ss8zM |
| | | 94450499584 / 94143178827 |
| | | {{Monzo| 14 -23 0 8 }} |
| | | 5.6422 |
| | | {{U|Unque}} (2024) |
| | |- |
| | | [[Linus comma]] |
| | | Saquinbizoguma |
| | | s10zgM |
| | | 578509309952 / 576650390625 |
| | | {{Monzo| 11 -10 -10 10 }} |
| | | 5.5719 |
| | | [[Gene Ward Smith]] (2011) |
| | |- |
| | | [[6144/6125|Porwell comma]] |
| | | Sarurutriguma |
| | | srr3gM |
| | | 6144 / 6125 |
| | | {{Monzo| 11 1 -3 -2 }} |
| | | 5.3620 |
| | | [[Gene Ward Smith]], [[Petr Pařízek]] (2010) |
| | |- |
| | | [[Acromagic comma]] |
| | | Sasa-sepzo-aquadguma |
| | | ss7za4gM |
| | | 26985857024 / 26904200625 |
| | | {{Monzo| 15 -16 -4 7 }} |
| | | 5.2466 |
| | | [[Xenllium]] (2026) |
| | |- |
| | | [[Cartoonisma]] |
| | | Satritrizo-asepbiguma |
| | | s9za14gM |
| | | 165288374272 / 164794921875 |
| | | {{Monzo| 12 -3 -14 9 }} |
| | | 5.1762 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[Hemfiness comma]] |
| | | Saquadru-atriyoma |
| | | s4ra3yM |
| | | 4096000 / 4084101 |
| | | {{Monzo| 15 -5 3 -5 }} |
| | | 5.0366 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Acrodec comma]] |
| | | Sasa-tribizo-aquadbiguma |
| | | ss6za8gM |
| | | 7710244864 / 7688671875 |
| | | {{Monzo| 16 -9 -8 6 }} |
| | | 4.8507 |
| | | [[Xenllium]] (2022) |
| | |- |
| | | [[Hewuermera comma]] |
| | | Satribiru-aguma |
| | | s6ragM |
| | | 589824 / 588245 |
| | | {{Monzo| 16 2 -1 -6 }} |
| | | 4.6408 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Hearts comma]] |
| | | Trila-quadzoma |
| | | 3L4zM |
| | | 34451725707 / 34359738368 |
| | | {{Monzo| -35 15 0 4 }} |
| | | 4.6286 |
| | | [[Xenllium]] (2023) |
| | |- |
| | | [[Lokisma]], loki comma |
| | | Sasa-bizotriguma |
| | | ss2z3gM |
| | | 102760448 / 102515625 |
| | | {{Monzo| 21 -8 -6 2 }} |
| | | 4.1295 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Garischisma]], septimal schisma |
| | | Sasaruma |
| | | ssrM |
| | | 33554432 / 33480783 |
| | | {{Monzo| 25 -14 0 -1 }} |
| | | 3.8041 |
| | | |
| | |- |
| | | [[Wadisma]] |
| | | Latritrizo-ayoma |
| | | L9zayM |
| | | 201768035 / 201326592 |
| | | {{Monzo| -26 -1 1 9 }} |
| | | 3.7919 |
| | | |
| | |- |
| | | [[Septimal enneadeca]] |
| | | Quinla-neruma |
| | | 5L19rM |
| | | <abbr title="1570042899082081611640534563 / 1566652225014704215735402496">(56 digits)</abbr> |
| | | {{Monzo| -37 57 0 -19 }} |
| | | 3.7428 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[Quasiorwellisma]] |
| | | Sazoquinbiguma |
| | | sz10gM |
| | | 29360128 / 29296875 |
| | | {{Monzo| 22 -1 -10 1 }} |
| | | 3.7338 |
| | | |
| | |} |
|
| |
|
| ==11-limit commas== | | === 11-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || 11-cycle <span style="font-size: 12.8000001907349px;">enipucrop/</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">neutral second, 9-11-comma</span> || [[tel/2357947691|2357947691]] / [[tel/2147483648|2147483648]] || | -31 0 0 0 9 > || [[tel/161.8615|161.8615]] ||
| | ! Name(s) |
| || 11-cycle chroma, 11-11-comma || || | -38 0 0 0 11 > || 64.497 || | | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| || 11-cycle major second prote, 33-11-comma || || | -114 0 0 0 33 > || 193.492 || | | ! Ratio |
| || 11-cycle major seventh prote, 35-11-comma || || | -121 0 0 0 35 > || 96.128 || | | ! Monzo |
| || 11-cycle schisma, 37-11-comma || || | 128 0 0 0 -37 > || 1.236 || | | ! Cents |
| || Hunt 11-cycle comma || || | -83 0 0 0 24 > || 31.631 || | | ! Named by |
| || Hunt flat 5 comma || 8192 / 8019 || | 13 -6 0 0 -1 > || 36.952 || | | |- |
| || sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 || | | | [[Dew comma]] |
| || the Igs boson<span style="line-height: 1.5;">, 13-11-comma </span> || [[tel/35184372088832|35184372088832]] / [[tel/34522712143931|34522712143931]] || | [[tel/45 0 0 0 -13|45 0 0 0 -13]] > || 32.867 || | | | Saloma |
| || telepathma || 55 / 54 || | -1 -3 1 0 1 > || 31.767 || | | | s1oM |
| || thuja comma || 163840 / 161051 || | 15 0 1 0 -5 > || 29.724 || | | | 180224 / 177147 |
| || sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 || | | | {{Monzo| 14 -11 0 0 1 }} |
| || sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 || | | | 29.812 |
| || cassacot || 245 / 242 || | -1 0 1 2 -2 > || 21.330 || | | | [[CompactStar]] (2023) |
| || [[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 ||
| | | [[Thuja comma]] |
| || hemimin || 1344 / 1331 || | 6 1 0 1 -3 > || 16.827 || | | | Saquinlu-ayoma |
| || biyatisma || 121 / 120 || | -3 -1 -1 0 2 > || 14.367 || | | | s5(1u)yM |
| || aphrowe || 1331 / 1323 || | 0 -3 0 -2 3 > || 10.437 || | | | 163840 / 161051 |
| || [[valinorsmic chords|valinorsma]] || 176 / 175 || | 4 0 -2 -1 1 > || 9.865 || | | | {{Monzo| 15 0 1 0 -5 }} |
| || [[pentacircle comma|pentacircle]] || 896 / 891 || | 7 -4 0 1 -1 > || 9.688 ||
| | | 29.724 |
| || 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 || | | | [[625/616|Quadrikite comma]] |
| || [[keenanismic chords|keenanisma]] || [[385_384|385 / 384]] || | -7 -1 1 1 1 > || 4.503 ||
| | | Luruquadyoma |
| || [[werckismic chords|werckisma]] || 441 / 440 || | -3 2 -1 2 -1 > || 3.930 ||
| | | 1ur4yM |
| || moctdel || 1375 / 1372 || | -2 0 3 -3 1 > || 3.781 || | | | 625 / 616 |
| || [[swetismic chords|swetisma]] || 540 / 539 || | 2 3 1 -2 -1 > || 3.209 ||
| | | {{Monzo| -3 0 4 -1 -1 }} |
| || wizardharry || 4000 / 3993 || | 5 -1 3 0 -3 > || 3.032 || | | | 25.111 |
| || vishdel || 5632 / 5625 || | 9 -2 -4 0 1 > || 2.153 || | | | [[Praveen Venkataramana]], [[Lumi Pakkanen]] (2022) |
| || sesdecal || 234375 / 234256 || | -4 1 7 0 -4 > || 0.879 || | | |- |
| || hemigail || 43923 / 43904 || | -7 1 0 -3 4 > || 0.749 || | | | [[1350/1331|Large tetracot diesis]] |
| || lehmerisma || 3025 / 3024 || | -4 -3 2 -1 2 > || 0.572 || | | | Trilu-ayoyoma |
| || kalisma, Gauss' comma || 9801 / 9800 || | -3 4 -2 -2 2 > || 0.177 || | | | 3(1u)yyM |
| || odiheim || 151263 / 151250 || | -1 2 -4 5 -2 > || 0.149 || | | | 1350 / 1331 |
| || parimo || 1771561 / 1771470 || | -1 -11 -1 0 6 > || 0.089 || | | | {{Monzo| 1 3 2 0 -3 }} |
| || ultimo || 3294225 / 3294172 || | -2 2 2 -7 4 > || 0.028 || | | | 24.539 |
| | | [[ArrowHead294]] (2024) |
| | |- |
| | | [[Sensmus comma]] |
| | | Salozoguma |
| | | s1ozgM |
| | | 1232 / 1215 |
| | | {{Monzo| 4 -5 -1 1 1 }} |
| | | 24.055 |
| | | |
| | |- |
| | | [[Sevnothrush comma]] |
| | | Loquinguma |
| | | 1o5gM |
| | | 3168 / 3125 |
| | | {{Monzo| 5 2 -5 0 1 }} |
| | | 23.659 |
| | | |
| | |- |
| | | [[245/242|Frostma]] |
| | | Biluzo-ayoma |
| | | 2(1uz)yM |
| | | 245 / 242 |
| | | {{Monzo| -1 0 1 2 -2 }} |
| | | 21.330 |
| | | [[Praveen Venkataramana]] (2022) |
| | |- |
| | | [[Distarma]] |
| | | Trilozoma |
| | | 3(1o)zM |
| | | 9317 / 9216 |
| | | {{Monzo|-10 -2 0 1 3}} |
| | | 18.869 |
| | | [https://twitter.com/Lilly__Flores Lilly Flores] (2023) |
| | |- |
| | | [[1617/1600|Antimisma]] |
| | | Lobizoguma |
| | | 1o2zgM |
| | | 1617 / 1600 |
| | | {{Monzo| -6 1 -2 2 1 }} |
| | | 18.297 |
| | | {{U|Jerdle}} (2021) |
| | |- |
| | | [[99/98|Mothwellsma]] |
| | | Loruruma |
| | | 1orrM |
| | | 99 / 98 |
| | | {{Monzo| -1 2 0 -2 1 }} |
| | | 17.576 |
| | | |
| | |- |
| | | [[1610510/1594323|Fifthchromisma]] |
| | | Saquinlo-ayoma |
| | | s5(1o)yM |
| | | 1610510 / 1594323 |
| | | {{Monzo| 1 -13 1 0 5 }} |
| | | 17.488 |
| | | [[Xenllium]] (2025) |
| | |- |
| | | [[100/99|Ptolemisma]] |
| | | Luyoyoma |
| | | 1uyyM |
| | | 100 / 99 |
| | | {{Monzo| 2 -2 2 0 -1 }} |
| | | 17.399 |
| | | |
| | |- |
| | | [[Hemimin comma]] |
| | | Trilu-azoma |
| | | 3(1u)zM |
| | | 1344 / 1331 |
| | | {{Monzo| 6 1 0 1 -3 }} |
| | | 16.827 |
| | | |
| | |- |
| | | [[Betarabian comma]] |
| | | Laloloma |
| | | L1ooM |
| | | 264627 / 262144 |
| | | {{Monzo| -18 7 0 0 2 }} |
| | | 16.321 |
| | | [[Dawson Berry]] (2020) |
| | |- |
| | | [[Biyatisma]] |
| | | Lologuma |
| | | 1oogM |
| | | 121 / 120 |
| | | {{Monzo| -3 -1 -1 0 2 }} |
| | | 14.367 |
| | | [[Gene Ward Smith]] (2010) |
| | |- |
| | | [[Absinthma]] |
| | | Luluruyoma |
| | | 1uuryM |
| | | 2560 / 2541 |
| | | {{Monzo| 9 -1 1 -1 -2 }} |
| | | 12.897 |
| | | {{U|Jerdle}} (2023) |
| | |- |
| | | [[Fwiwsma]] |
| | | Laluzoyoma |
| | | L1uzyM |
| | | 2835 / 2816 |
| | | {{Monzo| -8 4 1 1 -1 }} |
| | | 11.642 |
| | | [[Douglas Blumeyer]] (2024) |
| | |- |
| | | [[Aphrowe comma]] |
| | | Trilo-aruruma |
| | | 3(1o)rrM |
| | | 1331 / 1323 |
| | | {{Monzo| 0 -3 0 -2 3 }} |
| | | 10.437 |
| | | [[Lériendil]] (2024) |
| | |- |
| | | [[2200/2187|Small tetracot diesis]] |
| | | Saloyoyoma |
| | | s1oyyM |
| | | 2200 / 2187 |
| | | {{Monzo| 3 -7 2 0 1 }} |
| | | 10.260 |
| | | [[ArrowHead294]] |
| | |- |
| | | [[Valinorsma]] |
| | | Loruguguma |
| | | 1orggM |
| | | 176 / 175 |
| | | {{Monzo| 4 0 -2 -1 1 }} |
| | | 9.8646 |
| | | |
| | |- |
| | | [[Pentacircle comma]] |
| | | Saluzoma |
| | | s1uzM |
| | | 896 / 891 |
| | | {{Monzo| 7 -4 0 1 -1 }} |
| | | 9.6880 |
| | | |
| | |- |
| | | [[Alpharabian comma]] |
| | | Laquadloma |
| | | L4(1o)M |
| | | 131769 / 131072 |
| | | {{Monzo| -17 2 0 0 4 }} |
| | | 9.1818 |
| | | [[Dawson Berry]] (2020) |
| | |- |
| | | [[Orgonisma]] |
| | | Satrilu-aruruma |
| | | s3(1u)rrM |
| | | 65536 / 65219 |
| | | {{Monzo| 16 0 0 -2 -3 }} |
| | | 8.3944 |
| | | |
| | |- |
| | | [[Quindecic comma]] |
| | | Sasa-quintriloruma |
| | | ss15(1or)M |
| | | |
| | | {{Monzo| 14 -15 0 -15 15 }} |
| | | 8.0555 |
| | | |
| | <!-- |
| | |- |
| | | [[117649/117128]] |
| | | Bilulutrizoma |
| | | 2(1uu3z)M |
| | | 117649 / 117128 |
| | | {{Monzo| -3 0 0 6 -4 }} |
| | | 7.6837 |
| | | |
| | --> |
| | |- |
| | | [[Topsy comma]] |
| | | Quadlo-atrizo-asepguma |
| | | 4(1o)3za7gM |
| | | 5021863 / 5000000 |
| | | {{Monzo| -6 0 -7 3 4 }} |
| | | 7.5535 |
| | | |
| | |- |
| | | [[4375/4356|Fantares comma]] |
| | | Luluzoquadyoma |
| | | 1uuz4yM |
| | | 4375 / 4356 |
| | | {{Monzo| -2 -2 4 1 -2 }} |
| | | 7.5349 |
| | | [[Xenllium]] (2021) |
| | |- |
| | | [[Semicathartisma]] |
| | | Quadlo-aguma |
| | | 4(1o)gM |
| | | 14641 / 14580 |
| | | {{Monzo| -2 -6 -1 0 4 }} |
| | | 7.2281 |
| | | [[Flora Canou]] (2026) |
| | |- |
| | | [[243/242|Rastma]] |
| | | Luluma |
| | | 1uuM |
| | | 243 / 242 |
| | | {{Monzo| -1 5 0 0 -2 }} |
| | | 7.1391 |
| | | |
| | |- |
| | | [[3388/3375|Myhemiwell comma]] |
| | | Lolozotriguma |
| | | 1ooz3gM |
| | | 3388 / 3375 |
| | | {{Monzo| 2 -3 -3 1 2 }} |
| | | 6.6556 |
| | | |
| | |- |
| | | [[Pythrabian comma]] |
| | | Trisaloma |
| | | 3s1oM |
| | | 94489280512 / 94143178827 |
| | | {{Monzo| 33 -23 0 0 1 }} |
| | | 6.3529 |
| | | [[Dawson Berry]] (2021) |
| | |- |
| | | [[Semiporwellisma]] |
| | | Saluluguma |
| | | s1uugM |
| | | 16384 / 16335 |
| | | {{Monzo| 14 -3 -1 0 -2 }} |
| | | 5.1854 |
| | | [[Flora Canou]] (2021) |
| | |- |
| | | [[Octatonic comma]], undecimal octatonic comma |
| | | Quadbiluma |
| | | 8(1u)M |
| | | 214990848 / 214358881 |
| | | {{Monzo| 15 8 0 0 -8 }} |
| | | 5.0965 |
| | | [[Eliora]] (2023) |
| | |- |
| | | [[385/384|Keenanisma]] |
| | | Lozoyoma |
| | | 1ozyM |
| | | 385 / 384 |
| | | {{Monzo| -7 -1 1 1 1 }} |
| | | 4.5026 |
| | | [[Paul Erlich]] (2001) |
| | |- |
| | | [[8019/8000|Trimitone comma]] |
| | | Lalotriguma |
| | | L1o3gM |
| | | 8019 / 8000 |
| | | {{Monzo| -6 6 -3 0 1 }} |
| | | 4.1068 |
| | | [[Godtone]] (2021) |
| | |- |
| | | [[4-cent comma]] |
| | | Lutritryoma |
| | | 1u9yM |
| | | 1953125 / 1948617 |
| | | {{Monzo| 0 -11 9 0 -1 }} |
| | | 4.0004 |
| | | {{U|Jerdle}} (2021) |
| | |- |
| | | [[441/440|Werckisma]] |
| | | Luzozoguma |
| | | 1uzzgM |
| | | 441 / 440 |
| | | {{Monzo| -3 2 -1 2 -1 }} |
| | | 3.9302 |
| | | |
| | |- |
| | | [[1375/1372|Moctdelisma]] |
| | | Lotriruyo |
| | | 1o3ryM |
| | | 1375 / 1372 |
| | | {{Monzo| -2 0 3 -3 1 }} |
| | | 3.7814 |
| | | |
| | |- |
| | | [[Unisquarisma]], unisquary comma |
| | | Trilu-aquadzo-ayoma |
| | | 3(1u)4zayM |
| | | 12005 / 11979 |
| | | {{Monzo| 0 -2 1 4 -3 }} |
| | | 3.7535 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[6250/6237|Liganellus comma]], liganellisma |
| | | Luruquinyoma |
| | | 1ur5yM |
| | | 6250 / 6237 |
| | | {{Monzo| 1 -4 5 -1 -1 }} |
| | | 3.6047 |
| | | [[Dawson Berry]] (2020) |
| | |} |
|
| |
|
| ==13-limit commas== | | === 13-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || heptasixth comma, 13-cycle secor || 67108864 / 62748517 || | [[tel/26 0 0 0 0 0 -7|26 0 0 0 0 0 -7]] > || 116.306 || | | ! Name(s) |
| || Hunt 13-cycle comma || || | -37 0 0 0 0 0 10 > || 5.277 || | | ! colspan="2" | [[Kite's color notation/Temperament names|Color Name]] |
| || <span style="font-size: 12.8000001907349px;">heptadecasixth comma</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">, neutral thirteenth comma</span> || || | [[tel/63 0 0 0 0 0 -17|63 0 0 0 0 0 -17]] > || 111.030 || | | ! Ratio |
| || 13-cycle neutral second || || | -196 0 0 0 0 0 53 > || 147.966 || | | ! Monzo |
| || <span style="font-size: 12.8000001907349px;">silver half cents comma</span> || || <span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 ></span> || <span style="font-size: 12.8000001907349px;">66.389</span> || | | ! Cents |
| || Hunt minor submediant comma || 1053 / 1024 || | -10 4 0 0 0 0 1 > || 48.348 || | | ! Named by |
| || astbury || 4826809 / 4718592 || | -19 -2 0 0 0 6 > || 39.255 || | | |- |
| || wilsorma || 65 / 64 || | -6 0 1 0 0 1 > || 26.841 || | | | [[1600/1573|Cameratasma]] |
| || winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 > || 26.432 || | | | |
| || negustma || 78 / 77 || | 1 1 0 -1 -1 1 > || 22.229 || | | | |
| || superleap || 91 / 90 || | -1 -2 -1 1 0 1 > || 19.130 || | | | 1600/1573 |
| || animist || 105 / 104 || | -3 1 1 1 0 1 > || 16.567 || | | | {{Monzo| 6 0 2 0 -2 -1 }} |
| || secorian || 28672 / 28431 || | [[tel/12 -7 0 1 0 -1|12 -7 0 1 0 -1]] > || 14.613 ||
| | | 29.464 |
| || mosaic || 3159 / 3136 || |-6 5 0 -2 0 1> || 12.651 || | | | [[Phlub]] (2026) |
| || gassorma || 275 / 273 || | 0 -1 2 -1 1 -1 > || 12.637 || | | |- |
| || [[grossma]] || 144 / 143 || | 4 2 0 0 -1 -1 > || 12.064 ||
| | | [[Lovecraft comma]] |
| || buzurgisma, dhanvantarisma || 169 / 168 || | -3 -1 0 -1 0 2 > || 10.274 || | | | Thothotriluma |
| || catadictma || 1287 / 1280 || | -8 2 -1 0 1 1 > || 9.442 || | | | 3oo3(1u)M |
| || [[mynucumic chords|mynucuma]] || 196 / 195 || | 2 -1 -1 2 0 -1 > || 8.855 || | | | 1352/1331 |
| || [[huntmic chords|huntma]] || 640 / 637 || | 7 0 1 -2 0 -1 > || 8.134 ||
| | | {{Monzo| 3 0 0 0 -3 2 }} |
| || [[threedie]] || 2197 / 2187 || | 0 -7 0 0 0 3 > || 7.897 ||
| | | 27.101 |
| || [[kestrel chords|kestrel comma]] || 1188 / 1183 || | 2 3 0 -1 1 -2 > || 7.302 ||
| | | |
| || [[marveltwin]] || 325 / 324 || | -2 -4 2 0 0 1 > || 5.335 ||
| | |- |
| || [[ratwolf triad|ratwolfsma]] || 351 / 350 || | -1 3 -2 -1 0 1 > || 4.939 ||
| | | [[65/64|Wilsorma]] |
| || [[minthmic chords|minthma]] || 352 / 351 || | 5 -3 0 0 1 -1 > || 4.925 || | | | Thoyoma |
| || [[gentle chords|gentle comma]] || 364 / 363 || | 2 -1 0 1 -2 1 > || 4.763 ||
| | | 3oyM |
| || [[cuthbert triad|cuthbert]] || 847 / 845 || | 0 0 -1 1 2 -2 > || 4.093 ||
| | | 65/64 |
| || tunbarsma || 625 / 624 || | -4 -1 4 0 0 -1 > || 2.772 || | | | {{Monzo| -6 0 1 0 0 1 }} |
| || [[The Archipelago|island comma]] || 676 / 675 || | 2 -3 -2 0 0 2 > || 2.563 ||
| | | 26.841 |
| || [[squbemic chords|squbema]] || 729 / 728 || | -3 6 0 -1 0 -1 > || 2.376 ||
| | | |
| || [[petrmic triad|petrma]] || 2200 / 2197 || | 3 0 2 0 1 -3 > || 2.362 || | | |- |
| || [[nicolic tetrad|nicola]] || 1575 / 1573 || | 0 2 2 1 -2 -1 > || 2.200 ||
| | | [[9625/9477|Toastedosma]] |
| || [[sinbadmic tetrad|sinbadma]] || 1001 / 1000 || | -3 0 -3 1 1 1 > || 1.730 ||
| | | |
| || cantonisma || 10985 / 10976 || | -5 0 1 -3 0 3 > || 1.419 || | | | |
| || lummic || 1716 / 1715 || | 2 1 -1 -3 1 1 > || 1.009 || | | | 9625/9477 |
| || ibnsinma || 2080 / 2079 || | 5 -3 1 -1 -1 1 > || 0.833 || | | | {{Monzo| 0 -6 3 1 1 -1 }} |
| || schismina || 4096 / 4095 || | [[tel/12 -2 -1 -1 0 -1|12 -2 -1 -1 0 -1]] > || 0.423 || | | | 26.827 |
| || leprechaun comma || 4225 / 4224 || | -7 -1 2 0 -1 2 > || 0.410 || | | | See the page. |
| || jacobin || 6656 / 6655 || | 9 0 -1 0 -3 1 > || 0.260 || | | |- |
| || harmonisma || 10648 / 10647 || | 3 -2 0 -1 3 -2 > || 0.163 || | | | [[Hyperpyth comma]] |
| || chalmersima || 123201 / 123200 || | -6 6 -2 -1 -1 2 > || 0.014 || | | | Quadtho-aquinguma |
| | | 4(3o)5gM |
| | | 28561/28125 |
| | | {{Monzo| 0 -2 -5 0 0 4 }} |
| | | 26.632 |
| | | |
| | |- |
| | | [[66/65|Winmeanma]] |
| | | Thuloguma |
| | | 3u1ogM |
| | | 66/65 |
| | | {{Monzo| 1 1 -1 0 1 -1 }} |
| | | 26.432 |
| | | |
| | |- |
| | | [[343/338|Sooty fox comma]] |
| | | Thuthutrizoma |
| | | 3uu3zM |
| | | 343/338 |
| | | {{Monzo| -1 0 0 3 0 -2 }} |
| | | 25.422 |
| | | [[Budjarn Lambeth]] (2024) |
| | |- |
| | | [[Tetris comma]] |
| | | Sathoma |
| | | s3oM |
| | | 6656/6561 |
| | | {{Monzo| 9 -8 0 0 0 1 }} |
| | | 24.888 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[507/500|Large semisixthma]] |
| | | Thothotriguma |
| | | 3oo3gM |
| | | 507/500 |
| | | {{Monzo| -2 1 -3 0 0 2 }} |
| | | 24.069 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[78/77|Negustma]] |
| | | Tholuruma |
| | | 3o1urM |
| | | 78/77 |
| | | {{Monzo| 1 1 0 -1 -1 1 }} |
| | | 22.339 |
| | | |
| | |- |
| | | [[Greater tendoneutralisma]] |
| | | Laquadbithoma |
| | | L8(3o)M |
| | | 815730721 / 805306368 |
| | | {{Monzo| -28 -1 0 0 0 8 }} |
| | | 22.266 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[2025/2002|Beyoncisma]] |
| | | |
| | | |
| | | 2025/2002 |
| | | {{Monzo| -1 4 2 -1 -1 -1 }} |
| | | 19.776 |
| | | [[Phlub]] (2026) |
| | |- |
| | | [[91/90|Biome comma, superleap comma]] |
| | | Thozoguma |
| | | 3ozgM |
| | | 91/90 |
| | | {{Monzo| -1 -2 -1 1 0 1 }} |
| | | 19.130 |
| | | |
| | |- |
| | | [[8281/8192|Diahuntmisma]] |
| | | Labithozoma |
| | | L2(3oz)M |
| | | 8281/8192 |
| | | {{Monzo| -13 0 0 2 0 2 }} |
| | | 18.707 |
| | | [[Xenllium]] (2022) |
| | |- |
| | | [[512/507|Tridecimal neutral thirds comma]] |
| | | Thuthuma |
| | | 3uuM |
| | | 512/507 |
| | | {{Monzo| 9 -1 0 0 0 -2 }} |
| | | 16.990 |
| | | |
| | |- |
| | | [[105/104|Animist comma]] |
| | | Thuzoyoma |
| | | 3uzyM |
| | | 105/104 |
| | | {{Monzo| -3 1 1 1 0 -1 }} |
| | | 16.567 |
| | | |
| | |- |
| | | [[28812/28561|Tesseract comma]] |
| | | Quadthuzoma |
| | | 4(3uz)M |
| | | 28812/28561 |
| | | {{Monzo| 2 1 0 4 0 -4 }} |
| | | 15.148 |
| | | {{U|Unque}} (2025) |
| | |- |
| | | [[832/825|Tholuguguma]] |
| | | Tholuguguma |
| | | 3o1uggM |
| | | 832/825 |
| | | {{Monzo| 6 -1 -2 0 -1 1 }} |
| | | 14.627 |
| | | |
| | |- |
| | | [[Secorian comma]] |
| | | Sathuzoma |
| | | s3uzM |
| | | 28672 / 28431 |
| | | {{Monzo| 12 -7 0 1 0 -1 }} |
| | | 14.613 |
| | | |
| | |- |
| | | [[3159/3136|Mosaic comma]] |
| | | Lathoruruma |
| | | L3orrM |
| | | 3159/3136 |
| | | {{Monzo| -6 5 0 -2 0 1}} |
| | | 12.651 |
| | | |
| | |- |
| | | [[275/273|Gassorma]] |
| | | Thuloruyoyoma |
| | | 3u1oryyM |
| | | 275/273 |
| | | {{Monzo| 0 -1 2 -1 1 -1 }} |
| | | 12.637 |
| | | |
| | |- |
| | | [[144/143|Grossma]] |
| | | Thuluma |
| | | 3u1uM |
| | | 144/143 |
| | | {{Monzo| 4 2 0 0 -1 -1 }} |
| | | 12.064 |
| | | |
| | <!-- |
| | |- |
| | | [[24167/24000]] |
| | | Tritho-alotriguma |
| | | 3(3o)1o3gM |
| | | 24167/24000 |
| | | {{Monzo| -6 -1 -3 0 1 3 }} |
| | | 12.005 |
| | | |
| | --> |
| | |- |
| | | [[Lesser tendoneutralisma]] |
| | | Sasa-quadtrithuma |
| | | ss12(3u)M |
| | | 70368744177664 / 69894255367443 |
| | | {{Monzo| 46 -1 0 0 0 -12 }} |
| | | 11.713 |
| | | [[Godtone]] (2024) |
| | |- |
| | | [[1701/1690|Kuhnausma]] |
| | | |
| | | |
| | | 1701/1690 |
| | | {{Monzo| -1 5 -1 1 0 -2 }} |
| | | 11.232 |
| | | [[Phlub]] (2026) |
| | |- |
| | | [[Dinos comma]] |
| | | Lathuthuquinguma |
| | | L3uu5gM |
| | | 531441/528125 |
| | | {{Monzo| 0 12 -5 0 0 -2 }} |
| | | 10.836 |
| | | [[Dummy Index]] (2024) |
| | |- |
| | | [[169/168|Buzurgisma, dhanvantarisma]] |
| | | Thothoruma |
| | | 3oorM |
| | | 169/168 |
| | | {{Monzo| -3 -1 0 -1 0 2 }} |
| | | 10.274 |
| | | [[Margo Schulter]] (2012) for ''buzurgisma'' |
| | |- |
| | | [[3042/3025|Diagassormisma]] |
| | | Bitholuguma |
| | | 2(3o1ug)M |
| | | 3042/3025 |
| | | {{Monzo| 1 2 -2 0 -2 2 }} |
| | | 9.7020 |
| | | [[Xenllium]] (2022) |
| | |- |
| | | Greater nelindic comma |
| | | Thothoquinru-ayoyoma |
| | | 3oo5rayyM |
| | | 16900/16807 |
| | | {{Monzo| 2 0 2 -5 0 2 }} |
| | | 9.5532 |
| | | {{U|Kaiveran}} (2019) |
| | |- |
| | | [[1287/1280|Catadictma]] |
| | | Thologuma |
| | | 3o1ogM |
| | | 1287/1280 |
| | | {{Monzo| -8 2 -1 0 1 1 }} |
| | | 9.4419 |
| | | |
| | |- |
| | | [[Glacier comma]] |
| | | Quinthuma |
| | | 5(3u)M |
| | | 373248/371293 |
| | | {{Monzo| 9 6 0 0 0 -5 }} |
| | | 9.0917 |
| | | [[ArrowHead294]] (2024) |
| | |- |
| | | [[196/195|Mynucuma]] |
| | | Thuzozoguma |
| | | 3uzzgM |
| | | 196/195 |
| | | {{Monzo| 2 -1 -1 2 0 -1 }} |
| | | 8.8554 |
| | | |
| | |- |
| | | [[1625/1617|Sopreisma]] |
| | | Tholururutriyoma |
| | | 3urr3yM |
| | | 1625/1617 |
| | | {{Monzo| 0 -1 3 -2 -1 1 }} |
| | | 8.5440 |
| | | {{U|Recentlymaterialized}} (2024) |
| | |- |
| | | [[640/637|Huntma]], lesser nelindic comma |
| | | Thururuyoma |
| | | 3urryM |
| | | 640/637 |
| | | {{Monzo| 7 0 1 -2 0 -1 }} |
| | | 8.1342 |
| | | [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma'' |
| | |- |
| | | Sonoma |
| | | Lala-tritritho-aquadyoma |
| | | LL9(3o)4yM |
| | | 6627812108125/6597069766656 |
| | | {{Monzo| -41 -1 4 0 0 9 }} |
| | | 8.0488 |
| | | [https://x.com/vib_gen/status/2038852033244246443 Vib, Misohito Nakai] (2026) |
| | |- |
| | | [[2197/2187|Threedie]] |
| | | Satrithoma |
| | | s3(3o)M |
| | | 2197/2187 |
| | | {{Monzo| 0 -7 0 0 0 3 }} |
| | | 7.8980 |
| | | |
| | |- |
| | | [[Tridecimal nakaisma]] |
| | | Quinsa-quadtritrithu-azoma |
| | | 5s36(3u)zM |
| | | |
| | | {{Monzo| 132 -1 0 1 0 -36 }} |
| | | 7.8751 |
| | | [[User:原井玉葱郎|Misohito Nakai]] (2025) |
| | |- |
| | | [[4394/4375|Hebrewsma]] |
| | | Tritho-aruquadguma |
| | | 3(3o)r4gM |
| | | 4394/4375 |
| | | {{Monzo| 1 0 -4 -1 0 3 }} |
| | | 7.5022 |
| | | [[Eliora]] (2022) |
| | |- |
| | | [[1188/1183|Kestrel comma]] |
| | | Thuthuloruma |
| | | 3uu1orM |
| | | 1188/1183 |
| | | {{Monzo| 2 3 0 -1 1 -2 }} |
| | | 7.3017 |
| | | [[Gene Ward Smith]] (2011) |
| | |- |
| | | [[2D9 comma]] |
| | | Thotriyoma |
| | | 3o3yM |
| | | 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-azozoyoma |
| | | 3(3u)zzM |
| | | 2205/2197 |
| | | {{Monzo| 0 2 1 2 0 -3 }} |
| | | 6.2925 |
| | | [[Francium]] (2025) |
| | |- |
| | | [[Praveensma]] |
| | | Thoquadzoma |
| | | 3o4zM |
| | | 31213/31104 |
| | | {{Monzo| -7 -5 0 4 0 1 }} |
| | | 6.0563 |
| | | [[Praveen Venkataramana]] (2022) |
| | |- |
| | | [[1573/1568|Lambeth comma]] |
| | | Thobiloruma |
| | | 3o2(1or)M |
| | | 1573/1568 |
| | | {{Monzo| -5 0 0 -2 2 1 }} |
| | | 5.5117 |
| | | [[Flora Canou]] (2022) |
| | |- |
| | | [[325/324|Marveltwin comma]] |
| | | Thoyoyoma |
| | | 3oyyM |
| | | 325/324 |
| | | {{Monzo| -2 -4 2 0 0 1 }} |
| | | 5.3351 |
| | | |
| | |- |
| | | [[Valerisma]], Hunt 13-cycle comma |
| | | Laquinbithoma |
| | | L10(3o)M |
| | | 137858491849 / 137438953472 |
| | | {{Monzo| -37 0 0 0 0 10 }} |
| | | 5.2766 |
| | | [[Mason Green]] (2016) |
| | |- |
| | | [[351/350|Ratwolfsma]] |
| | | Thoruguguma |
| | | 3orggM |
| | | 351/350 |
| | | {{Monzo| -1 3 -2 -1 0 1 }} |
| | | 4.9393 |
| | | |
| | |- |
| | | [[352/351|Major minthma, major gentle comma]], 11/13-kleisma |
| | | Thuloma |
| | | 3u1oM |
| | | 352/351 |
| | | {{Monzo| 5 -3 0 0 1 -1 }} |
| | | 4.9253 |
| | | See the page. |
| | |- |
| | | [[364/363|Minor minthma, minor gentle comma]] |
| | | Tholuluzoma |
| | | 3o1uuzM |
| | | 364/363 |
| | | {{Monzo| 2 -1 0 1 -2 1 }} |
| | | 4.7627 |
| | | See the page. |
| | |- |
| | | [[Cheensma]] |
| | | |
| | | |
| | | 41067/40960 |
| | | {{Monzo| -13 5 -1 0 0 2 }} |
| | | 4.5166 |
| | | [[Tristan Bay]] (2025) |
| | |- |
| | | [[847/845|Cuthbert comma]] |
| | | Bithulo-azoguma |
| | | 2(3u1o)zgM |
| | | 847/845 |
| | | {{Monzo| 0 0 -1 1 2 -2 }} |
| | | 4.0928 |
| | | |
| | |} |
|
| |
|
| ==17-limit commas== | | === 17-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || 11 semitone comma || || | [[tel/45 0 0 0 0 0 -11|45 0 0 0 0 0 -11]] > || 45.4905 || | | ! Name(s) |
| || 12 semitone comma || || | -49 0 0 0 0 0 12 > || 59.465 || | | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| || 23 semitone comma || || | -93 0 0 0 0 0 23 > || 13.974 || | | ! Ratio |
| || Hunt 17-cycle comma || || | -138 0 0 0 0 0 34 > || 31.516 || | | ! Monzo |
| || 17-ripple integer cents comma || || | [[tel/327 0 0 0 0 0 -80|327 0 0 0 0 0 -80]] > || 3.568 || | | ! Cents |
| || Hunt flat 2 comma || 4131 / 4096 || | -12 5 0 0 0 0 1 > || 14.730 || | | ! Named by |
| || xenisma || 2058 / 2057 || | 1 1 0 3 -2 0 -1 > || 0.841 || | | |- |
| || || 12376 / 12375 || | 3 -2 -3 1 -1 1 1 > || 0.140 || | | | [[2048/2023|Susurrisma, susurration comma]] |
| || || 14400 / 14399 || | 6 2 2 -1 -2 0 -1 > || 0.120 || | | | Susuruma |
| || scintillisma || 194481 / 194480 || | -4 4 -1 4 -1 -1 -1 > || 0.009 || | | | 17uurM |
| | | 2048/2023 |
| | | {{Monzo| 11 0 0 -1 0 0 -2 }} |
| | | 21.263 |
| | | [[User:Jerdle|Jerdle]] (2026) |
| | |- |
| | | [[85/84|Monk comma]] |
| | | Soruyoma |
| | | 17oryM |
| | | 85/84 |
| | | {{Monzo| -2 -1 1 -1 0 0 1 }} |
| | | 20.488 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[289/286|Lum comma]] |
| | | Sosothuluma |
| | | 17oo3u1uM |
| | | 289/286 |
| | | {{Monzo| -1 0 0 0 -1 -1 2 }} |
| | | 18.065 |
| | | |
| | |- |
| | | [[2197/2176|Mey comma]] |
| | | Sutrithov |
| | | 17u3(3o)M |
| | | 2197/2176 |
| | | {{Monzo| -7 0 0 0 0 3 -1 }} |
| | | 16.628 |
| | | |
| | |- |
| | | [[429/425|Middle semisixthma]] |
| | | Suthologuguma |
| | | 17u3o1oggM |
| | | 429/425 |
| | | {{Monzo| 0 1 -2 0 1 1 -1 }} |
| | | 16.218 |
| | | [[User:Xenllium|Xenllium]] (2024) |
| | |- |
| | | [[4131/4096|Septendecimal comma]], Hunt flat 2 comma |
| | | Lasoma |
| | | L17oM |
| | | 4131/4096 |
| | | {{Monzo| -12 5 0 0 0 0 1 }} |
| | | 14.730 |
| | | [[Flora Canou]] (2020) for ''septendecimal comma'' |
| | |- |
| | | [[120/119|Lynchisma]] |
| | | Suruyoma |
| | | 17uryM |
| | | 120/119 |
| | | {{Monzo| 3 1 1 -1 0 0 -1 }} |
| | | 14.487 |
| | | [[User:Xenllium|Xenllium]] (2022) |
| | |- |
| | | 23-17-comma, 23 semitone comma |
| | | Trila-twethesoma |
| | | 3L23(17o)M |
| | | |
| | | {{Monzo| -94 0 0 0 0 0 23 }} |
| | | 13.974 |
| | | |
| | |- |
| | | [[136/135|Diatisma]], diatic comma, <br>fiventeen comma, septendecimal semicomma |
| | | Soguma |
| | | 17ogM |
| | | 136/135 |
| | | {{Monzo| 3 -3 -1 0 0 0 1 }} |
| | | 12.777 |
| | | See the page. |
| | |- |
| | | [[154/153|Augustma]] |
| | | Sulozoma |
| | | 17u1ozM |
| | | 154/153 |
| | | {{Monzo| 1 -2 0 1 1 0 -1 }} |
| | | 11.278 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[170/169|Major naiadma]] |
| | | Sothuthuyoma |
| | | 17o3uuyM |
| | | 170/169 |
| | | {{Monzo| 1 0 1 0 0 -2 1 }} |
| | | 10.214 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[2187/2176|Septendecimal schisma]] |
| | | Lasuma |
| | | L17uM |
| | | 2187/2176 |
| | | {{Monzo| -7 7 0 0 0 0 -1 }} |
| | | 8.7296 |
| | | [[Plainsound Music Edition]] (2020) |
| | |- |
| | | [[1452/1445|Small semisixthma]] |
| | | Susulologuma |
| | | 17uu1oogM |
| | | 1452/1445 |
| | | {{Monzo| 2 1 -1 0 2 0 -2 }} |
| | | 8.3664 |
| | | [[User:Xenllium|Xenllium]] (2024) |
| | |- |
| | | [[Mean thirds comma]] |
| | | Lasosoyoma |
| | | L17ooyM |
| | | 1053405/1048576 |
| | | {{Monzo|-20 6 1 0 0 0 2}} |
| | | 7.9545 |
| | | [[User:Jerdle|Jerdle]] (2022) |
| | |- |
| | | [[221/220|Minor naiadma]] |
| | | Sotholuguma |
| | | 17o3o1ugM |
| | | 221/220 |
| | | {{Monzo| -2 0 -1 0 -1 1 1 }} |
| | | 7.8514 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[2057/2048|Blume comma]] |
| | | Sololoma |
| | | 17o1ooM |
| | | 2057/2048 |
| | | {{monzo| -11 0 0 0 2 0 1 }} |
| | | 7.5913 |
| | | [[Douglas Blumeyer]] |
| | |- |
| | | [[256/255|Charisma]], charic comma, <br>septendecimal kleisma |
| | | Suguma |
| | | 17ugM |
| | | 256/255 |
| | | {{Monzo| 8 -1 -1 0 0 0 -1 }} |
| | | 6.7759 |
| | | See the page. |
| | |- |
| | | [[273/272|Tannisma, prototannisma]] |
| | | Suthozoma |
| | | 17u3ozM |
| | | 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 |
| | | Sosoma |
| | | 17ooM |
| | | 289/288 |
| | | {{Monzo| -5 -2 0 0 0 0 2 }} |
| | | 6.0008 |
| | | [[Flora Canou]] (2023) ''for semitonisma'' |
| | |- |
| | | [[375/374|Ursulisma]] |
| | | Sulutriyoma |
| | | 17u1u3yM |
| | | 375/374 |
| | | {{Monzo| -1 1 3 0 -1 0 -1 }} |
| | | 4.6228 |
| | | [[Dawson Berry]], [[User:VIxen|VIxen]] (2023) |
| | |- |
| | | [[442/441|Seminaiadma]] |
| | | Sothoruruma |
| | | 17o3orrM |
| | | 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-quinquadquadsuma |
| | | 11s80(17u)M |
| | | |
| | | {{Monzo| 327 0 0 0 0 0 -80 }} |
| | | 3.5672 |
| | | [[Eliora]] (2022) for ''80-17-comma'' |
| | |} |
|
| |
|
| ==19-limit commas== | | === 19-limit commas === |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | | {| class="wikitable" |
| || Hunt 19-cycle comma || 131072 / 130321 || | [[tel/17 0 0 0 0 0 0 -4|17 0 0 0 0 0 0 -4]] > || 9.950 || | | ! Name(s) |
| || <span style="font-size: 12.8000001907349px;">19-cycle meantone prima</span> || || | -174 0 0 0 0 0 0 41 > || 198.034 || | | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| || <span style="font-size: 12.8000001907349px;">19-cycle meantone secunda</span> || || | -191 0 0 0 0 0 0 45 > || 188.086 || | | ! Ratio |
| || 19-cycle minor tone || || | -208 0 0 0 0 0 0 49 > || 178.138 || | | ! Monzo |
| || <span style="font-size: 12.8000001907349px;">19-cycle submajor second</span> || || | -225 0 0 0 0 0 0 53 > || 168.190 || | | ! Cents |
| || Hunt 19-minor mediant comma || 513 / 512 || | -9 3 0 0 0 0 0 1 > || 3.378 || | | ! Named by |
| || spleen comma || 210 / 209 || | 1 1 1 1 -1 0 0 -1 > || 8.264 || | | |- |
| || go comma || 361 / 360 || | -3 -2 -1 0 0 0 0 2 > || 4.802 || | | | [[135/133|Nuruyoma]] |
| || || 165376 / 165375 || | 9 -3 -3 -2 0 0 1 1> || 0.010 || | | | Nuruyoma |
| [[media type="custom" key="25699772"]]</pre></div> | | | 19uryM |
| <h4>Original HTML content:</h4>
| | | 135/133 |
| <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>
| | | {{Monzo| 0 3 1 -1 0 0 0 -1 }} |
| <br />
| | | 25.84 |
| A <strong>comma</strong> is a small interval that occurs in <a class="wiki_link" href="/just%20intonation">just intonation</a>, between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, and generally in a <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em><a class="wiki_link" href="/tempering%20out">tempered out</a></em>, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by <a class="wiki_link" href="/Meantone">meantone temperament</a>. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in <a class="wiki_link" href="/cent">cent</a>s.<br />
| | | |
| <br />
| | |- |
| For commas over 100 cents in size, see <a class="wiki_link" href="/Large%20commas">Large commas</a><br />
| | | [[76/75|Large undevicesimal 1/9-tone]] |
| <br />
| | | Noguguma |
| <!-- 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>
| | | 19oggM |
| <br />
| | | 76/75 |
| <!-- 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>
| | | {{Monzo| 2 -1 -2 0 0 0 0 1 }} |
|
| | | 22.931 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[77/76|Small undevicesimal 1/9-tone]] |
| | | Nulozoma |
| | | 19u1ozM |
| | | 77/76 |
| | | {{Monzo| -2 0 0 1 1 0 0 -1 }} |
| | | 22.631 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | |[[Lanuma]] |
| | |Lanuma |
| | |L19uM |
| | |19683/19456 |
| | |{{Monzo| -10 9 0 0 0 0 0 -1}} |
| | |20.082 |
| | |[[Kite Giedraitis]] (2026) |
| | |- |
| | | [[96/95|19th-partial chroma]] |
| | | Nuguma |
| | | 19ugM |
| | | 96/95 |
| | | {{Monzo| 5 1 -1 0 0 0 0 -1 }} |
| | | 18.128 |
| | | [[User:Flirora|Flirora]] (2021) |
| | |- |
| | | [[Ume comma]] |
| | | Nutrisoma |
| | | 19u3(17o)M |
| | | 4913/4864 |
| | | {{Monzo| -8 0 0 0 0 0 3 -1 }} |
| | | 17.353 |
| | | |
| | |- |
| | | [[729/722|Undevicesimal diaschisma]] |
| | | Lanunuma |
| | | L19uuM |
| | | 729/722 |
| | | {{Monzo| -1 6 0 0 0 0 0 -2 }} |
| | | 16.704 |
| | | [[User:Xenllium|Xenllium]] (2024) |
| | |- |
| | | [[6912/6859|Deviaug comma]] |
| | | Trinuma |
| | | 3(19u)M |
| | | 6912/6859 |
| | | {{Monzo| 8 3 0 0 0 0 0 -3 }} |
| | | 13.326 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[133/132|Minithirdma]] |
| | | Noluzoma |
| | | 19o1uzM |
| | | 133/132 |
| | | {{Monzo| -2 -1 0 1 -1 0 0 1 }} |
| | | 13.066 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[153/152|Ganassisma]], Ganassi's comma |
| | | Nusoma |
| | | 19u17oM |
| | | 153/152 |
| | | {{Monzo| -3 2 0 0 0 0 1 -1 }} |
| | | 11.352 |
| | | [[User:Flirora|+merlan #flirora]] (2021) |
| | |- |
| | | [[171/170|Malcolmisma]] |
| | | Nosuguma |
| | | 19o17ugM |
| | | 171/170 |
| | | {{Monzo| -1 2 -1 0 0 0 -1 1 }} |
| | | 10.154 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[131072/130321|Undevicesimal diminished comma]], Hunt 19-cycle comma |
| | | Saquadnuma |
| | | s4(19u)M |
| | | 131072 / 130321 |
| | | {{Monzo| 17 0 0 0 0 0 0 -4 }} |
| | | 9.9479 |
| | | |
| | |- |
| | | [[Eye comma]] |
| | | Nubisoluma |
| | | 19u2(17o1u)M |
| | | 2312/2299 |
| | | {{Monzo| 3 0 0 0 -2 0 2 -1 }} |
| | | 9.7619 |
| | | |
| | |- |
| | | [[363/361|Godzillisma]] |
| | | Binuloma |
| | | 2(19u1o)M |
| | | 363/361 |
| | | {{Monzo| 0 1 0 0 2 0 0 -2 }} |
| | | 9.5649 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[190/189|Cotylisma]] |
| | | Noruyoma |
| | | 19oryM |
| | | 190/189 |
| | | {{Monzo| 1 -3 1 -1 0 0 0 1 }} |
| | | 9.1358 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[209/208|Yama comma]] |
| | | Nothuloma |
| | | 19o3u1oM |
| | | 209/208 |
| | | {{Monzo| -4 0 0 0 1 -1 0 1 }} |
| | | 8.3033 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[210/209|Spleen comma]] |
| | | Nuluzoyoma |
| | | 19u1uzyM |
| | | 210/209 |
| | | {{Monzo| 1 1 1 1 -1 0 0 -1 }} |
| | | 8.2637 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[1083/1078|Bihendrixma]] |
| | | Nonolururuma |
| | | 19oo1urrM |
| | | 1083/1078 |
| | | {{Monzo| -1 1 0 -2 -1 0 0 2 }} |
| | | 8.0113 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | |[[33698267/33554432|Sylvisma]] |
| | | Latrinoso |
| | | L19o317o33 |
| | | 33698267/33554432 |
| | | {{Monzo| -25 0 0 0 0 0 3 3 }} |
| | | 7.4053 |
| | | [[User:Zeta Function|Zeta Function]] (2026) |
| | |- |
| | | [[286/285|Chthonisma]] |
| | | Nuthologuma |
| | | 19u3o1ogM |
| | | 286/285 |
| | | {{Monzo| 1 -1 -1 0 1 1 0 -1 }} |
| | | 6.0639 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[324/323|Photisma]] |
| | | Nusuma |
| | | 19u17uM |
| | | 324/323 |
| | | {{Monzo| 2 4 0 0 0 0 -1 -1 }} |
| | | 5.3516 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[343/342|Nutrisma]] |
| | | Nutrizoma |
| | | 19u3zM |
| | | 343/342 |
| | | {{Monzo| -1 -2 0 3 0 0 0 -1 }} |
| | | 5.0547 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[Triraptor comma]] |
| | | Trinuso-azoguma |
| | | 3(19u17o)zgM |
| | | 34391/34295 |
| | | {{Monzo|0 0 -1 1 0 0 3 -3}} |
| | | 4.8394 |
| | | [[User:Kaiveran|Kaiveran]] (2023) |
| | |- |
| | | [[361/360|Go comma]], dudon comma |
| | | Nonoguma |
| | | 19oogM |
| | | 361/360 |
| | | {{Monzo| -3 -2 -1 0 0 0 0 2 }} |
| | | 4.8023 |
| | | [[User:Xenwolf|Xenwolf]] (2013) for ''go comma'' |
| | |- |
| | | [[400/399|Devichroma]] |
| | | Nuruyoyoma |
| | | 19uryyM |
| | | 400/399 |
| | | {{Monzo| 4 -1 2 -1 0 0 0 -1 }} |
| | | 4.3335 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[456/455|Abnobisma]] |
| | | Nothuruguma |
| | | 19o3urgM |
| | | 456/455 |
| | | {{Monzo| 3 1 -1 -1 0 -1 0 1 }} |
| | | 3.8007 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[476/475|Hedwigma]] |
| | | Nusozoguguma |
| | | 19u17ozggM |
| | | 476/475 |
| | | {{Monzo| 2 0 -2 1 0 0 1 -1 }} |
| | | 3.6409 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[495/494|Eulalisma]] |
| | | Nuthuloyoma |
| | | 19u3u1oyM |
| | | 495/494 |
| | | {{Monzo| -1 2 1 0 1 -1 0 -1 }} |
| | | 3.5010 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === 23-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | |- |
| </th>
| | ! Name(s) |
| <th>ratio<br />
| | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| </th>
| | ! [[Ratio]] |
| <th>monzo<br />
| | ! [[Monzo]] |
| </th>
| | ! [[Cent]]s |
| <th>cents<br />
| | ! Named by |
| </th>
| | |- |
| </tr>
| | | [[187/184|Twethusoloma]] |
| <tr>
| | | Twethusoloma |
| <td>limma, Pythagorean minor second<br />
| | | 23u17o1oM |
| </td>
| | | 187/184 |
| <td><a class="wiki_link" href="/256_243">256 / 243</a><br />
| | | 2.11.17.23 {{monzo| -3 1 1 -1 }} |
| </td>
| | | 27.999 |
| <td>| 8 -5 &gt;<br />
| | | |
| </td>
| | |- |
| <td>90.225<br />
| | | [[69/68|Large vicesimotertial 1/8-tone]] |
| </td>
| | | Twethosuma |
| </tr>
| | | 23o17uM |
| <tr>
| | | 69/68 |
| <td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br />
| | | 2.3.17.23 {{monzo| -2 1 -1 1 }} |
| </td>
| | | 25.274 |
| <td>531441 / 524288<br />
| | |[[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>| -19 12 &gt;<br />
| | | [[70/69|Small vicesimotertial 1/8-tone]] |
| </td>
| | | Twethuzoyoma |
| <td>23.460<br />
| | | 23uzyM |
| </td>
| | | 70/69 |
| </tr>
| | | 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }} |
| <tr>
| | | 24.910 |
| <td><a class="wiki_link" href="/17-comma">17-comma</a><br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>134217728 / 129140163<br />
| | |[[Twethuluma]] |
| </td>
| | |Twethuluma |
| <td>| 27 -17 &gt;<br />
| | |23u1uM |
| </td>
| | |256/253 |
| <td>66.765<br />
| | |2.7.11.23 {{monzo| 8 -1 -1 }} |
| </td>
| | |20.408 |
| </tr>
| | |[[Kite Giedraitis]] (2026) |
| <tr>
| | |- |
| <td><a class="wiki_link" href="/29-comma">29-comma</a><br />
| | | [[92/91|Undinisma]] |
| </td>
| | | Twethothuruma |
| <td><a class="wiki_link" href="http://tel.wikispaces.com/70368744177664">70368744177664</a> / <a class="wiki_link" href="http://tel.wikispaces.com/68630377364883">68630377364883</a><br />
| | | 23o3urM |
| </td>
| | | 92/91 |
| <td>| 46 -29 &gt;<br />
| | | 2.7.13.23 {{monzo| 2 -1 -1 1 }} |
| </td>
| | | 18.921 |
| <td>43.305<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| </tr>
| | | [[736/729|23-limit Tenney/Cage comma]] |
| <tr>
| | | Satwethoma |
| <td><a class="wiki_link" href="/41-comma">41-comma</a><br />
| | | s23oM |
| </td>
| | | 736/729 |
| <td>36893488147419103232 / 36472996377170786403<br />
| | | 2.3.23 {{monzo| 5 -6 1 }} |
| </td>
| | | 16.544 |
| <td>| 65 -41 &gt;<br />
| | | [[Stephen Weigel]] (2023) |
| </td>
| | |- |
| <td>19.845<br />
| | | [[115/114|Yarmanisma]] |
| </td>
| | | Twethonuyoma |
| </tr>
| | | 23o19uyM |
| <tr>
| | | 115/114 |
| <td>Pythagorean Integer cents comma<br />
| | | 2.3.5.19.23 {{monzo| -1 -1 1 -1 1 }} |
| </td>
| | | 15.120 |
| <td><br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>| 317 -200 &gt;<br />
| | | [[161/160|Major kirnbergerisma]] |
| </td>
| | | Twethozoguma |
| <td>9.000<br />
| | | 23ozgM |
| </td>
| | | 161/160 |
| </tr>
| | | 2.5.7.23 {{monzo| -5 -1 1 1 }} |
| <tr>
| | | 10.787 |
| <td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>19383245667680019896796723 / 19342813113834066795298816<br />
| | | [[162/161|Minor kirnbergerisma]] |
| </td>
| | | Twethuruma |
| <td>| -84 53 &gt;<br />
| | | 23urM |
| </td>
| | | 162/161 |
| <td>3.615<br />
| | | 2.3.7.23 {{monzo| 1 4 -1 -1 }} |
| </td>
| | | 10.720 |
| </tr>
| | | [[User:Xenllium|Xenllium]] (2023) |
| <tr>
| | |- |
| <td>Sasktel comma, <span style="line-height: 1.5;">51-</span>Pythagorean comma<br />
| | | [[208/207|Vicetone comma]] |
| </td>
| | | Twethuthoma |
| <td><br />
| | | 23u3oM |
| </td>
| | | 208/207 |
| <td>| 485 -306 &gt;<br />
| | | 2.3.13.23 {{monzo| 4 -2 1 -1 }} |
| </td>
| | | 8.3433 |
| <td>1.770<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| </tr>
| | | [[231/230|Major neutravicema]] |
| <tr>
| | | Twethulozoguma |
| <td><a class="wiki_link" href="/Satanic%20comma">Satanic comma</a><br />
| | | 23u1ozgM |
| </td>
| | | 231/230 |
| <td><br />
| | | {{monzo| -1 1 -1 1 1 0 0 0 -1 }} |
| </td>
| | | 7.5108 |
| <td>| -1054 665 &gt;<br />
| | | [[User:Xenllium|Xenllium]] (2023) |
| </td>
| | |- |
| <td>0.076<br />
| | | [[Vicesimotertial schisma]] |
| </td>
| | | Lala-twethuma |
| </tr>
| | | LL23uM |
| </table>
| | | 387420489 / 385875968 |
| | | 2.3.23 {{monzo| -24 18 -1 }} |
| | | 6.9157 |
| | | |
| | |- |
| | | [[253/252|Middle neutravicema]] |
| | | Twetholoruma |
| | | 23o1orM |
| | | 253/252 |
| | | 2.3.7.11.23 {{monzo| -2 -2 -1 1 1 }} |
| | | 6.8564 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[276/275|Minor neutravicema]] |
| | | Twetholuguguma |
| | | 23o1uggM |
| | | 276/275 |
| | | 2.3.5.11.23 {{monzo| 2 1 -2 -1 1 }} |
| | | 6.2840 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | 21-23-comma |
| | | Trisa-septritwethuma |
| | | 3s21(23u)M |
| | | 281474976710656 / <br>280462473659039 |
| | | 2.23 {{monzo| 95 -21 }} |
| | | 6.2387 |
| | | |
| | |- |
| | | [[300/299|Major naiadvicema]] |
| | | Twethuthuyoyoma |
| | | 23u3uyyM |
| | | 300/299 |
| | | 2.3.5.13.23 {{monzo| 2 1 2 -1 -1 }} |
| | | 5.7804 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[323/322|Major semivicema]] |
| | | Twethunosoruma |
| | | 23u19o17orM |
| | | 323/322 |
| | | 2.7.17.19.23 {{monzo| -1 -1 1 1 -1 }} |
| | | 5.3682 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[391/390|Minor naiadvicema]] |
| | | Twethosothuguma |
| | | 23o17o3ugM |
| | | 391/390 |
| | | {{monzo| -1 -1 -1 0 0 -1 1 0 1 }} |
| | | 4.4334 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[392/391|Minor semivicema]] |
| | | Twethusuzozoma |
| | | 23u17uzzM |
| | | 392/391 |
| | | 2.7.17.23 {{monzo| 3 2 -1 -1 }} |
| | | 4.4221 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[460/459|Scanisma, vicewolf comma]] |
| | | Twethosuyoma |
| | | 23o17uyM |
| | | 460/459 |
| | | 2.3.5.17.23 {{monzo| 2 -3 1 -1 1 }} |
| | | 3.7676 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |- |
| | | [[484/483|Pittsburghisma]] |
| | | Twethuloloruma |
| | | 23u1oorM |
| | | 484/483 |
| | | 2.3.7.11.23 {{monzo| 2 -1 -1 2 -1 }} |
| | | 3.5806 |
| | | [[User:Xenllium|Xenllium]] (2023) |
| | |} |
|
| |
|
| <br />
| | === 29-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>
| | {| class="wikitable" |
|
| | ! Name(s) |
| | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | ! Named by |
| | |- |
| | | Classical mediant of Didymus' and Archytas' commas |
| | | Twenothuluyoma |
| | | 29o3u1uyM |
| | | 145/143 |
| | | 5.11.13.29 {{monzo| 1 -1 -1 1 }} |
| | | 24.045 |
| | | |
| | |- |
| | | [[88/87|Farewell comma]] |
| | | Twenuloma |
| | | 29u1oM |
| | | 88/87 |
| | | 2.3.11.29 {{monzo| 3 -1 1 -1 }} |
| | | 19.786 |
| | | |
| | |- |
| | | [[116/115|Sironisma]] |
| | | Twenotwethuguma |
| | | 29o23ugM |
| | | 116/115 |
| | | 2.5.23.29 {{monzo| 2 -1 -1 1 }} |
| | | 14.989 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[117/116|Lomisma]] |
| | | Twenuthoma |
| | | 29u3oM |
| | | 117/116 |
| | | 2.3.13.29 {{monzo| -2 2 1 -1 }} |
| | | 14.860 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[145/144|29th-partial chroma]] |
| | | Twenoyoma |
| | | 29oyM |
| | | 145/144 |
| | | 2.3.5.29 {{monzo| -4 -2 1 1 }} |
| | | 11.981 |
| | | {{U|Flirora}} (2023) |
| | |- |
| | | [[175/174|Major chthonovinema]] |
| | | Twenuzoyoyoma |
| | | 29uzyyM |
| | | 175/174 |
| | | 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }} |
| | | 9.9211 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[204/203|Kallistisma]] |
| | | Twenusoruma |
| | | 29u17orM |
| | | 204/203 |
| | | 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }} |
| | | 8.5073 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[232/231|Major paravinema]] |
| | | Twenoluruma |
| | | 29o1urM |
| | | 232/231 |
| | | 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }} |
| | | 7.4783 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[7-29-comma]] |
| | | Laseptwenoma |
| | | L7(29o)M |
| | | 17249876309 / 17179869184 |
| | | 2.29 {{monzo| -34 7 }} |
| | | 7.0404 |
| | | |
| | |- |
| | | [[261/260|Major vinetonema]] |
| | | Twenothuguma |
| | | 29o3ugM |
| | | 261/260 |
| | | 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }} |
| | | 6.6458 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[290/289|Brunisma]] |
| | | Twenosusuyoma |
| | | 29o17uuyM |
| | | 290/289 |
| | | 2.5.17.29 {{monzo| 1 1 -2 1 }} |
| | | 5.9801 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[320/319|Minor paravinema]] |
| | | Twenuluyoma |
| | | 29u1uyM |
| | | 320/319 |
| | | 2.5.11.29 {{monzo| 6 1 -1 -1 }} |
| | | 5.4186 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[378/377|Major semivinema]] |
| | | Twenuthuzoma |
| | | 29u3uzM |
| | | 378/377 |
| | | 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }} |
| | | 4.5861 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[406/405|Minor semivinema]] |
| | | Twenozoguma |
| | | 29ozgM |
| | | 406/405 |
| | | 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }} |
| | | 4.2694 |
| | | [[Xenllium]] (2024) |
| | |- |
| | | [[494/493|Minor vinetonema]] |
| | | Twenunosuthoma |
| | | 29u19o17u3oM |
| | | 494/493 |
| | | 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }} |
| | | 3.5081 |
| | | [[Xenllium]] (2024) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === 31-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | ! Name(s) |
| </th>
| | ! colspan="2" | [[Kite's color notation/Temperament names|Color name]] |
| <th>ratio<br />
| | ! Ratio |
| </th>
| | ! Monzo |
| <th>monzo<br />
| | ! Cents |
| </th>
| | ! Named by |
| <th>cents<br />
| | |- |
| </th>
| | | [[63/62|Co-archytas comma]] |
| </tr>
| | | Thiwuzoma |
| <tr>
| | | 31uzM |
| <td>Twenty-two thirds limma<br />
| | | 63/62 |
| </td>
| | | 2.3.7.31 {{monzo| -1 2 1 -1 }} |
| <td><br />
| | | 27.700 |
| </td>
| | | [[Xenwolf]] (2020) |
| <td>| -51 0 22 &gt;<br />
| | |- |
| </td>
| | | [[93/92|Tricema]] |
| <td>98.902<br />
| | | Thiwotwethuma |
| </td>
| | | 31o23uM |
| </tr>
| | | 93/92 |
| <tr>
| | | 2.3.23.31 {{monzo| -2 1 -1 1 }} |
| <td>sibbolet<br />
| | | 18.716 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td><br />
| | |- |
| </td>
| | | [[125/124|Twizzler]] |
| <td>| -58 0 25 &gt;<br />
| | | Thiwutriyoma |
| </td>
| | | 31u3yM |
| <td>57.843<br />
| | | 125/124 |
| </td>
| | | 2.5.31 {{monzo| -2 3 -1 }} |
| </tr>
| | | 13.906 |
| <tr>
| | | [[Xenwolf]] (2020) |
| <td>Hunt 5-cycle comma<br />
| | |- |
| </td>
| | | [[155/154|Scyllisma]] |
| <td><br />
| | | Thiwoluruyoma |
| </td>
| | | 31o1uryM |
| <td>| -65 0 28 &gt;<br />
| | | 155/154 |
| </td>
| | | 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }} |
| <td>16.784<br />
| | | 11.205 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| </tr>
| | |- |
| <tr>
| | | [[156/155|Xanthippisma]] |
| <td>acute thirds comma<br />
| | | Thiwuthoguma |
| </td>
| | | 31u3ogM |
| <td><br />
| | | 156/155 |
| </td>
| | | 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }} |
| <td>| 72 0 -31 &gt;<br />
| | | 11.133 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td>24.275<br />
| | |- |
| </td>
| | | [[187/186|Lambertisma]] |
| </tr>
| | | Thiwusoloma |
| <tr>
| | | 31u17o1oM |
| <td>34-5-comma<br />
| | | 187/186 |
| </td>
| | | 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }} |
| <td><br />
| | | 9.2828 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td>| 79 0 -34 &gt;<br />
| | |- |
| </td>
| | | [[217/216|Tricesimoprimal kleisma]] |
| <td>65.334<br />
| | | Thiwozoma |
| </td>
| | | 31ozM |
| </tr>
| | | 217/216 |
| <tr>
| | | 2.3.7.31 {{monzo| -3 -3 1 1 }} |
| <td>Schismic thirds chromatic semitone<br />
| | | 7.9965 |
| </td>
| | | |
| <td><br />
| | |- |
| </td>
| | | [[Doctorsma]] |
| <td>| -123 0 53 &gt;<br />
| | | Latrithiwu-athuquadzoma |
| </td>
| | | L3(31u)3u4zM |
| <td>74.627<br />
| | | 388962/387283 |
| </td>
| | | 2.3.7.13.31 {{Monzo|1 4 4 -1 -3}} |
| </tr>
| | | 7.4892 |
| <tr>
| | | [[User:Stavats|Stavats]] (2026) |
| <td>10-15-comma<br />
| | |- |
| </td>
| | | [[248/247|Lameisma]] |
| <td><br />
| | | Thiwonuthuma |
| </td>
| | | 31o19u3uM |
| <td>| -39 10 10 &gt;<br />
| | | 248/247 |
| </td>
| | | 2.13.19.31 {{monzo| 3 -1 -1 1 }} |
| <td>82.687<br />
| | | 6.9949 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| </tr>
| | |- |
| <tr>
| | | [[280/279|Tricetone comma]] |
| <td>11-15-comma<br />
| | | Thiwuzoyoma |
| </td>
| | | 31uzyM |
| <td><br />
| | | 280/279 |
| </td>
| | | 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }} |
| <td>| 43 -11 -11 &gt;<br />
| | | 6.1940 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td>29.044<br />
| | |- |
| </td>
| | | [[Junebug comma]] |
| </tr>
| | | Thiwutwenotwethunusotholuzoyoma |
| <tr>
| | | 31u29o23u19u17o3o1uzyM |
| <td>21-15-comma<br />
| | | 448630/447051 |
| </td>
| | | {{monzo| 1 -1 1 1 -1 1 1 -1 -1 1 -1 }} |
| <td><br />
| | | 6.1040 |
| </td>
| | | [[Tristan Bay]] (2024) |
| <td>| 82 -21 -21 &gt;<br />
| | |- |
| </td>
| | | [[341/340|Californisma]] |
| <td>53.643<br />
| | | Thiwosuloguma |
| </td>
| | | 31o17u1ogM |
| </tr>
| | | 341/340 |
| <tr>
| | | 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }} |
| <td>32-15-comma<br />
| | | 5.0844 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td><br />
| | |- |
| </td>
| | | [[342/341|Endymisma]] |
| <td>| 125 -32 -32 &gt;<br />
| | | Thiwunoluma |
| </td>
| | | 31u19o1uM |
| <td>24.599<br />
| | | 342/341 |
| </td>
| | | 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }} |
| </tr>
| | | 5.0695 |
| <tr>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td>Huntian 15-cycle comma<br />
| | |- |
| </td>
| | | [[435/434|Chinthisma]] |
| <td><br />
| | | Thiwutwenoruyoma |
| </td>
| | | 31u29oryM |
| <td>| -168 43 43 &gt;<br />
| | | 435/434 |
| </td>
| | | 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }} |
| <td>4.445<br />
| | | 3.9844 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| </tr>
| | |- |
| <tr>
| | | [[465/464|Alektisma]] |
| <td>53-15-comma<br />
| | | Thiwotwenuyoma |
| </td>
| | | 31o29uyM |
| <td><br />
| | | 465/464 |
| </td>
| | | 2.3.5.29.31 {{monzo| -4 1 1 -1 1 }} |
| <td>| -207 53 53 &gt;<br />
| | | 3.7271 |
| </td>
| | | [[User:Xenllium|Xenllium]] (2025) |
| <td>78.242<br />
| | |} |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54-15-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 211 -54 -54 &gt;<br />
| |
| </td>
| |
| <td>33.489<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>76-15-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 297 -76 -76 &gt;<br />
| |
| </td>
| |
| <td>91.578<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>major chroma, major limma, pelogic comma<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/135_128">135 / 128</a><br />
| |
| </td>
| |
| <td>| -7 3 1 &gt;<br />
| |
| </td>
| |
| <td>92.179<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>ripple<br />
| |
| </td>
| |
| <td>6561 / 6250<br />
| |
| </td>
| |
| <td>| -1 8 -5 &gt;<br />
| |
| </td>
| |
| <td>84.071<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>doublewide<br />
| |
| </td>
| |
| <td>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><a class="wiki_link" href="http://tel.wikispaces.com/8968066875">8968066875</a> / <a class="wiki_link" href="http://tel.wikispaces.com/8589934592">8589934592</a><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>chromatic semitones comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -52 -17 34 &gt;<br />
| |
| </td>
| |
| <td>4.715<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><a class="wiki_link" href="http://tel.wikispaces.com/2197265625">2197265625</a> / <a class="wiki_link" href="http://tel.wikispaces.com/2147483648">2147483648</a><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="/Maquila%20family">maquila comma</a><br />
| |
| </td>
| |
| <td>562949953421312 / 556182861328125<br />
| |
| </td>
| |
| <td>|49 -6 -17&gt;<br />
| |
| </td>
| |
| <td>20.937<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56-syntonic comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 225 -224 56 &gt;<br />
| |
| </td>
| |
| <td>1.431<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="/Pental%20family">pental comma</a><br />
| |
| </td>
| |
| <td>847288609443 / 838860800000<br />
| |
| </td>
| |
| <td>|-28 25 -5&gt;<br />
| |
| </td>
| |
| <td>17.306<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/graviton">graviton</a>, <a class="wiki_link" href="/Gravity%20family">gravity</a> comma<br />
| |
| </td>
| |
| <td>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>15-3/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -11 -15 15 &gt;<br />
| |
| </td>
| |
| <td>65.381<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>23-3/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 17 23 -23 &gt;<br />
| |
| </td>
| |
| <td>59.750<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34-3/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -25 -34 34 &gt;<br />
| |
| </td>
| |
| <td>68.196<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53-3/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 39 53 -53 &gt;<br />
| |
| </td>
| |
| <td>71.012<br />
| |
| </td>
| |
| </tr>
| |
| <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>| <a class="wiki_link" href="http://tel.wikispaces.com/2746%20-521%20-827">2746 -521 -827</a> &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 />
| | === Higher-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" | [[Kite's color notation/Temperament names|Color name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | ! Named by |
| | |- |
| | | [[714984/704969|Lightyear comma]] |
| | | |
| | | 89u<sup>3</sup>31o<sup>3</sup>M |
| | | 714984/704969 |
| | | 2.3.31.89 {{monzo| 3 1 3 -3 }} |
| | | 24.421 |
| | | [[Budjarn Lambeth]] (2023) |
| | |- |
| | | [[82/81|41-limit Johnston comma]] |
| | | Fowoma |
| | | 41oM |
| | | 82/81 |
| | | 2.3.41 {{monzo| 1 -4 1 }} |
| | | 21.242 |
| | | [[Stephen Weigel]] (2023) |
| | |- |
| | | [[2883/2848|Lilac comma]] |
| | | |
| | | 89u31ooM |
| | | 2883/2848 |
| | | 2.3.31.89 {{monzo| -5 1 2 -1 }} |
| | | 21.146 |
| | | [[Budjarn Lambeth]] (2023) |
| | |- |
| | | [[86/85|43-limit 10th-tone]], large quadracesimotertial 1/10-tone |
| | | Fothosuguma |
| | | 43o17ugM |
| | | 86/85 |
| | | 2.5.17.43 {{monzo| 1 -1 -1 1 }} |
| | | 20.249 |
| | | [[Mister Shaf]] (2025) |
| | |- |
| | | [[87/86|43-limit 10th-tone]], small quadracesimotertial 1/10-tone |
| | | Fothutwenoma |
| | | 43u29oM |
| | | 87/86 |
| | | 2.3.29.43 {{monzo| -1 1 1 -1 }} |
| | | 20.014 |
| | | |
| | |- |
| | | [[89/88|Tailwind comma]] |
| | | |
| | | 89o1uM |
| | | 89/88 |
| | | 2.11.89 {{monzo| -3 -1 1 }} |
| | | 19.562 |
| | | [[Budjarn Lambeth]] (2023) |
| | |- |
| | | [[389/385|Rebbe comma]] |
| | | |
| | | 389o1urgM |
| | | 389/385 |
| | | 5.7.11.389 {{monzo| -1 -1 -1 1 }} |
| | | 17.8794 |
| | | [[Mister Shaf]] (2025) |
| | |- |
| | | [[8277/8192|Lilly pilly comma]] |
| | | |
| | | 89o31oM |
| | | 8277/8192 |
| | | 2.3.31.89 {{monzo| -13 1 1 1 }} |
| | | 17.871 |
| | | [[Budjarn Lambeth]] (2023) |
| | |- |
| | | [[8000/7921|Incisor comma]] |
| | | |
| | | 89uu3yM |
| | | 8000/7921 |
| | | 2.5.89 {{monzo| 6 3 -2 }} |
| | | 17.181 |
| | | [[Budjarn Lambeth]] (2023) |
| | |- |
| | | [[129/128|43-limit Johnston comma]] |
| | | Fothoma |
| | | 43oM |
| | | 129/128 |
| | | 2.3.43 {{monzo| -7 1 1 }} |
| | | 13.473 |
| | | [[Stephen Weigel]] (2023) |
| | |- |
| | | [[979/972|Basement comma]] |
| | | |
| | | 89o1oM |
| | | 979/972 |
| | | 2.3.11.89 {{monzo| -2 -5 1 1 }} |
| | | 12.423 |
| | | [[Budjarn Lambeth]] (2023) |
| | |- |
| | | [[226/225|Reversed marvel comma]] |
| | | |
| | | 113oggM |
| | | 226/225 |
| | | 2.3.5.113 {{monzo| 1 -2 -2 1 }} |
| | | 7.6773 |
| | | [[User:Xenllium|Xenllium]] (2025) |
| | |- |
| | | [[Sidereal comma]] |
| | | |
| | | 73u61ogM |
| | | 366/365 |
| | | 2.3.5.61.73 {{monzo| 1 1 -1 1 -1 }} |
| | | 4.7366 |
| | | [[User:Frostburn|Frostburn]] (2024) |
| | |- |
| | | [[381/380|Five feet comma]] |
| | | |
| | | 127o19ugM |
| | | 381/380 |
| | | 2.3.5.19.127 [-2 1 -1 -1 1⟩ |
| | | 4.5499 |
| | | [[Eliora]] (2022) |
| | |- |
| | | [[481/480|Semaphorisma]] |
| | | Thisothoguma |
| | | 37o3ogM |
| | | 481/480 |
| | | 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }} |
| | | 3.6030 |
| | | [[User:Kaiveran|Kaiveran]] (2023) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == List of irrational commas == |
| <tr>
| | For intervals expressible as edosteps, see [[Interval size measure]]. We skip them here for brevity. |
| <th>name(s)<br />
| |
| </th>
| |
| <th>ratio<br />
| |
| </th>
| |
| <th>monzo<br />
| |
| </th>
| |
| <th>cents<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>hexadecatone comma, 16-7-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 45 0 0 -16 &gt;<br />
| |
| </td>
| |
| <td>98.7855<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21-7-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 59 0 0 -21 &gt;<br />
| |
| </td>
| |
| <td>54.656<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt 7-cycle comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 73 0 0 -26 &gt;<br />
| |
| </td>
| |
| <td>10.526<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>German sixth comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -87 0 0 31 &gt;<br />
| |
| </td>
| |
| <td>33.603<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36-7-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -101 0 0 36 &gt;<br />
| |
| </td>
| |
| <td>77.737<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47-7-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 132 0 0 0 -47 &gt;<br />
| |
| </td>
| |
| <td>65.182<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>slendro integer cents comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 1127 0 0 -400 &gt;<br />
| |
| </td>
| |
| <td>69.637<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -14 0 -29 29 &gt;<br />
| |
| </td>
| |
| <td>92.854<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -15 0 -31 31 &gt;<br />
| |
| </td>
| |
| <td>57.878<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -16 0 -33 33 &gt;<br />
| |
| </td>
| |
| <td>22.902<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 18 0 35 -35 &gt;<br />
| |
| </td>
| |
| <td>12.073<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 19 0 37 -37 &gt;<br />
| |
| </td>
| |
| <td>47.049<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 20 0 39 -39 &gt;<br />
| |
| </td>
| |
| <td>82.0245<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5-21-comma<br />
| |
| </td>
| |
| <td>4194304 / 4084101<br />
| |
| </td>
| |
| <td>| 22 -5 0 -5 &gt;<br />
| |
| </td>
| |
| <td>46.0955<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -79 18 0 18 &gt;<br />
| |
| </td>
| |
| <td>74.056<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -101 23 0 23 &gt;<br />
| |
| </td>
| |
| <td>27.961<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Huntian 21-cycle comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 123 -28 0 -28 &gt;<br />
| |
| </td>
| |
| <td>18.135<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 145 -33 0 -33 &gt;<br />
| |
| </td>
| |
| <td>64.230<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 167 -38 0 -38 &gt;<br />
| |
| </td>
| |
| <td>110.3255<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 189 -43 0 -43 &gt;<br />
| |
| </td>
| |
| <td>156.421<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 36 0 -7 -7 &gt;<br />
| |
| </td>
| |
| <td>114.023<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -41 0 8 8 &gt;<br />
| |
| </td>
| |
| <td>41.117<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 77 0 -15 -15 &gt;<br />
| |
| </td>
| |
| <td>72.906<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 118 0 -23 -23 &gt;<br />
| |
| </td>
| |
| <td>31.789<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -159 0 31 31 &gt;<br />
| |
| </td>
| |
| <td>9.328<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -200 0 39 39 &gt;<br />
| |
| </td>
| |
| <td>50.445<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -241 0 47 47 &gt;<br />
| |
| </td>
| |
| <td>91.562<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Huntian 35-cycle comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 277 0 -54 -54 &gt;<br />
| |
| </td>
| |
| <td>22.4605<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>greenwoodma<br />
| |
| </td>
| |
| <td>405 / 392<br />
| |
| </td>
| |
| <td>| -3 4 1 -2 &gt;<br />
| |
| </td>
| |
| <td>56.482<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Harrison's comm\/a<br />
| |
| </td>
| |
| <td>59049 / 57344<br />
| |
| </td>
| |
| <td>| -13 10 0 -1 &gt;<br />
| |
| </td>
| |
| <td>50.724<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>keega<br />
| |
| </td>
| |
| <td>1029 / 1000<br />
| |
| </td>
| |
| <td>| -3 1 -3 3 &gt;<br />
| |
| </td>
| |
| <td>49.492<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>septimal quarter tone<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/36_35">36 / 35</a><br />
| |
| </td>
| |
| <td>| 2 2 -1 -1 &gt;<br />
| |
| </td>
| |
| <td>48.770<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>quarter tone comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 49 50 -25 -25 &gt;<br />
| |
| </td>
| |
| <td>19.2595<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>cloudy<br />
| |
| </td>
| |
| <td>16807 / 16384<br />
| |
| </td>
| |
| <td>| -14 0 0 5 &gt;<br />
| |
| </td>
| |
| <td>44.130<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>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>slendro 34-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -137 -34 0 68 &gt;<br />
| |
| </td>
| |
| <td>13.692<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34-jubilismic comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -33 0 -68 68 &gt;<br />
| |
| </td>
| |
| <td>10.829<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>tritonic diesis, jubilisma<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/50_49">50 / 49</a><br />
| |
| </td>
| |
| <td>| 1 0 2 -2 &gt;<br />
| |
| </td>
| |
| <td>34.976<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>eric<br />
| |
| </td>
| |
| <td>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>44-septimal comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -263 88 0 44 &gt;<br />
| |
| </td>
| |
| <td>0.294<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 />
| | {| class="wikitable" |
| <br />
| | ! Name(s) |
| <!-- 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>
| | ! colspan="2" | [[Color name]] |
|
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | ! Named by |
| | |- |
| | | [[Caffeinterval]] |
| | | |
| | | |
| | | 2<sup>((7/12) - (1/sqrt(3)))</sup> |
| | | |
| | | 7.1797 |
| | | [[User:R-4981|R-4981]] (2023) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == See also == |
| <tr>
| | * [[Comma and diesis]] |
| <th>name(s)<br />
| |
| </th>
| |
| <th>ratio<br />
| |
| </th>
| |
| <th>monzo<br />
| |
| </th>
| |
| <th>cents<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>11-cycle <span style="font-size: 12.8000001907349px;">enipucrop/</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">neutral second, 9-11-comma</span><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="http://tel.wikispaces.com/2357947691">2357947691</a> / <a class="wiki_link" href="http://tel.wikispaces.com/2147483648">2147483648</a><br />
| |
| </td>
| |
| <td>| -31 0 0 0 9 &gt;<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="http://tel.wikispaces.com/161.8615">161.8615</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11-cycle chroma, 11-11-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -38 0 0 0 11 &gt;<br />
| |
| </td>
| |
| <td>64.497<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11-cycle major second prote, 33-11-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -114 0 0 0 33 &gt;<br />
| |
| </td>
| |
| <td>193.492<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11-cycle major seventh prote, 35-11-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -121 0 0 0 35 &gt;<br />
| |
| </td>
| |
| <td>96.128<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11-cycle schisma, 37-11-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 128 0 0 0 -37 &gt;<br />
| |
| </td>
| |
| <td>1.236<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt 11-cycle comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -83 0 0 0 24 &gt;<br />
| |
| </td>
| |
| <td>31.631<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt flat 5 comma<br />
| |
| </td>
| |
| <td>8192 / 8019<br />
| |
| </td>
| |
| <td>| 13 -6 0 0 -1 &gt;<br />
| |
| </td>
| |
| <td>36.952<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>sterno<br />
| |
| </td>
| |
| <td>352 / 343<br />
| |
| </td>
| |
| <td>| 5 0 0 -3 1 &gt;<br />
| |
| </td>
| |
| <td>44.840<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>the Igs boson<span style="line-height: 1.5;">, 13-11-comma </span><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="http://tel.wikispaces.com/35184372088832">35184372088832</a> / <a class="wiki_link" href="http://tel.wikispaces.com/34522712143931">34522712143931</a><br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/45%200%200%200%20-13">45 0 0 0 -13</a> &gt;<br />
| |
| </td>
| |
| <td>32.867<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>telepathma<br />
| |
| </td>
| |
| <td>55 / 54<br />
| |
| </td>
| |
| <td>| -1 -3 1 0 1 &gt;<br />
| |
| </td>
| |
| <td>31.767<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>thuja comma<br />
| |
| </td>
| |
| <td>163840 / 161051<br />
| |
| </td>
| |
| <td>| 15 0 1 0 -5 &gt;<br />
| |
| </td>
| |
| <td>29.724<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>sensmus<br />
| |
| </td>
| |
| <td>1232 / 1215<br />
| |
| </td>
| |
| <td>| 4 -5 -1 1 1 &gt;<br />
| |
| </td>
| |
| <td>24.055<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>sevnothrush<br />
| |
| </td>
| |
| <td>3168 / 3125<br />
| |
| </td>
| |
| <td>| 5 2 -5 0 1 &gt;<br />
| |
| </td>
| |
| <td>23.659<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>cassacot<br />
| |
| </td>
| |
| <td>245 / 242<br />
| |
| </td>
| |
| <td>| -1 0 1 2 -2 &gt;<br />
| |
| </td>
| |
| <td>21.330<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a><br />
| |
| </td>
| |
| <td>99 / 98<br />
| |
| </td>
| |
| <td>| -1 2 0 -2 1 &gt;<br />
| |
| </td>
| |
| <td>17.576<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/100_99">100 / 99</a><br />
| |
| </td>
| |
| <td>| 2 -2 2 0 -1 &gt;<br />
| |
| </td>
| |
| <td>17.399<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>hemimin<br />
| |
| </td>
| |
| <td>1344 / 1331<br />
| |
| </td>
| |
| <td>| 6 1 0 1 -3 &gt;<br />
| |
| </td>
| |
| <td>16.827<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>biyatisma<br />
| |
| </td>
| |
| <td>121 / 120<br />
| |
| </td>
| |
| <td>| -3 -1 -1 0 2 &gt;<br />
| |
| </td>
| |
| <td>14.367<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>aphrowe<br />
| |
| </td>
| |
| <td>1331 / 1323<br />
| |
| </td>
| |
| <td>| 0 -3 0 -2 3 &gt;<br />
| |
| </td>
| |
| <td>10.437<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a><br />
| |
| </td>
| |
| <td>176 / 175<br />
| |
| </td>
| |
| <td>| 4 0 -2 -1 1 &gt;<br />
| |
| </td>
| |
| <td>9.865<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/pentacircle%20comma">pentacircle</a><br />
| |
| </td>
| |
| <td>896 / 891<br />
| |
| </td>
| |
| <td>| 7 -4 0 1 -1 &gt;<br />
| |
| </td>
| |
| <td>9.688<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>orgonisma<br />
| |
| </td>
| |
| <td>65536 / 65219<br />
| |
| </td>
| |
| <td>| 16 0 0 -2 -3 &gt;<br />
| |
| </td>
| |
| <td>8.394<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/rastmic%20chords">rastma</a><br />
| |
| </td>
| |
| <td>243 / 242<br />
| |
| </td>
| |
| <td>| -1 5 0 0 -2 &gt;<br />
| |
| </td>
| |
| <td>7.139<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>myhemiwell<br />
| |
| </td>
| |
| <td>3388 / 3375<br />
| |
| </td>
| |
| <td>| 2 -3 -3 1 2 &gt;<br />
| |
| </td>
| |
| <td>6.656<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/keenanismic%20chords">keenanisma</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/385_384">385 / 384</a><br />
| |
| </td>
| |
| <td>| -7 -1 1 1 1 &gt;<br />
| |
| </td>
| |
| <td>4.503<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/werckismic%20chords">werckisma</a><br />
| |
| </td>
| |
| <td>441 / 440<br />
| |
| </td>
| |
| <td>| -3 2 -1 2 -1 &gt;<br />
| |
| </td>
| |
| <td>3.930<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>moctdel<br />
| |
| </td>
| |
| <td>1375 / 1372<br />
| |
| </td>
| |
| <td>| -2 0 3 -3 1 &gt;<br />
| |
| </td>
| |
| <td>3.781<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/swetismic%20chords">swetisma</a><br />
| |
| </td>
| |
| <td>540 / 539<br />
| |
| </td>
| |
| <td>| 2 3 1 -2 -1 &gt;<br />
| |
| </td>
| |
| <td>3.209<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>wizardharry<br />
| |
| </td>
| |
| <td>4000 / 3993<br />
| |
| </td>
| |
| <td>| 5 -1 3 0 -3 &gt;<br />
| |
| </td>
| |
| <td>3.032<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>vishdel<br />
| |
| </td>
| |
| <td>5632 / 5625<br />
| |
| </td>
| |
| <td>| 9 -2 -4 0 1 &gt;<br />
| |
| </td>
| |
| <td>2.153<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>sesdecal<br />
| |
| </td>
| |
| <td>234375 / 234256<br />
| |
| </td>
| |
| <td>| -4 1 7 0 -4 &gt;<br />
| |
| </td>
| |
| <td>0.879<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>hemigail<br />
| |
| </td>
| |
| <td>43923 / 43904<br />
| |
| </td>
| |
| <td>| -7 1 0 -3 4 &gt;<br />
| |
| </td>
| |
| <td>0.749<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>lehmerisma<br />
| |
| </td>
| |
| <td>3025 / 3024<br />
| |
| </td>
| |
| <td>| -4 -3 2 -1 2 &gt;<br />
| |
| </td>
| |
| <td>0.572<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>kalisma, Gauss' comma<br />
| |
| </td>
| |
| <td>9801 / 9800<br />
| |
| </td>
| |
| <td>| -3 4 -2 -2 2 &gt;<br />
| |
| </td>
| |
| <td>0.177<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>odiheim<br />
| |
| </td>
| |
| <td>151263 / 151250<br />
| |
| </td>
| |
| <td>| -1 2 -4 5 -2 &gt;<br />
| |
| </td>
| |
| <td>0.149<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>parimo<br />
| |
| </td>
| |
| <td>1771561 / 1771470<br />
| |
| </td>
| |
| <td>| -1 -11 -1 0 6 &gt;<br />
| |
| </td>
| |
| <td>0.089<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>ultimo<br />
| |
| </td>
| |
| <td>3294225 / 3294172<br />
| |
| </td>
| |
| <td>| -2 2 2 -7 4 &gt;<br />
| |
| </td>
| |
| <td>0.028<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | == References == |
| <!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="List of commas, by prime limit-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:13 -->13-limit commas</h2>
| |
|
| |
|
| |
|
| <table class="wiki_table">
| | [[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>heptasixth comma, 13-cycle secor<br />
| |
| </td>
| |
| <td>67108864 / 62748517<br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/26%200%200%200%200%200%20-7">26 0 0 0 0 0 -7</a> &gt;<br />
| |
| </td>
| |
| <td>116.306<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt 13-cycle comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -37 0 0 0 0 0 10 &gt;<br />
| |
| </td>
| |
| <td>5.277<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><span style="font-size: 12.8000001907349px;">heptadecasixth comma</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">, neutral thirteenth comma</span><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/63%200%200%200%200%200%20-17">63 0 0 0 0 0 -17</a> &gt;<br />
| |
| </td>
| |
| <td>111.030<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13-cycle neutral second<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -196 0 0 0 0 0 53 &gt;<br />
| |
| </td>
| |
| <td>147.966<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><span style="font-size: 12.8000001907349px;">silver half cents comma</span><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 &gt;</span><br />
| |
| </td>
| |
| <td><span style="font-size: 12.8000001907349px;">66.389</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt minor submediant comma<br />
| |
| </td>
| |
| <td>1053 / 1024<br />
| |
| </td>
| |
| <td>| -10 4 0 0 0 0 1 &gt;<br />
| |
| </td>
| |
| <td>48.348<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>astbury<br />
| |
| </td>
| |
| <td>4826809 / 4718592<br />
| |
| </td>
| |
| <td>| -19 -2 0 0 0 6 &gt;<br />
| |
| </td>
| |
| <td>39.255<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>wilsorma<br />
| |
| </td>
| |
| <td>65 / 64<br />
| |
| </td>
| |
| <td>| -6 0 1 0 0 1 &gt;<br />
| |
| </td>
| |
| <td>26.841<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>winmeanma<br />
| |
| </td>
| |
| <td>66 / 65<br />
| |
| </td>
| |
| <td>| 1 1 -1 0 1 -1 &gt;<br />
| |
| </td>
| |
| <td>26.432<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>negustma<br />
| |
| </td>
| |
| <td>78 / 77<br />
| |
| </td>
| |
| <td>| 1 1 0 -1 -1 1 &gt;<br />
| |
| </td>
| |
| <td>22.229<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>superleap<br />
| |
| </td>
| |
| <td>91 / 90<br />
| |
| </td>
| |
| <td>| -1 -2 -1 1 0 1 &gt;<br />
| |
| </td>
| |
| <td>19.130<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>animist<br />
| |
| </td>
| |
| <td>105 / 104<br />
| |
| </td>
| |
| <td>| -3 1 1 1 0 1 &gt;<br />
| |
| </td>
| |
| <td>16.567<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>secorian<br />
| |
| </td>
| |
| <td>28672 / 28431<br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/12%20-7%200%201%200%20-1">12 -7 0 1 0 -1</a> &gt;<br />
| |
| </td>
| |
| <td>14.613<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>mosaic<br />
| |
| </td>
| |
| <td>3159 / 3136<br />
| |
| </td>
| |
| <td>|-6 5 0 -2 0 1&gt;<br />
| |
| </td>
| |
| <td>12.651<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>gassorma<br />
| |
| </td>
| |
| <td>275 / 273<br />
| |
| </td>
| |
| <td>| 0 -1 2 -1 1 -1 &gt;<br />
| |
| </td>
| |
| <td>12.637<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/grossma">grossma</a><br />
| |
| </td>
| |
| <td>144 / 143<br />
| |
| </td>
| |
| <td>| 4 2 0 0 -1 -1 &gt;<br />
| |
| </td>
| |
| <td>12.064<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>buzurgisma, dhanvantarisma<br />
| |
| </td>
| |
| <td>169 / 168<br />
| |
| </td>
| |
| <td>| -3 -1 0 -1 0 2 &gt;<br />
| |
| </td>
| |
| <td>10.274<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>catadictma<br />
| |
| </td>
| |
| <td>1287 / 1280<br />
| |
| </td>
| |
| <td>| -8 2 -1 0 1 1 &gt;<br />
| |
| </td>
| |
| <td>9.442<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/mynucumic%20chords">mynucuma</a><br />
| |
| </td>
| |
| <td>196 / 195<br />
| |
| </td>
| |
| <td>| 2 -1 -1 2 0 -1 &gt;<br />
| |
| </td>
| |
| <td>8.855<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/huntmic%20chords">huntma</a><br />
| |
| </td>
| |
| <td>640 / 637<br />
| |
| </td>
| |
| <td>| 7 0 1 -2 0 -1 &gt;<br />
| |
| </td>
| |
| <td>8.134<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/threedie">threedie</a><br />
| |
| </td>
| |
| <td>2197 / 2187<br />
| |
| </td>
| |
| <td>| 0 -7 0 0 0 3 &gt;<br />
| |
| </td>
| |
| <td>7.897<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/kestrel%20chords">kestrel comma</a><br />
| |
| </td>
| |
| <td>1188 / 1183<br />
| |
| </td>
| |
| <td>| 2 3 0 -1 1 -2 &gt;<br />
| |
| </td>
| |
| <td>7.302<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/marveltwin">marveltwin</a><br />
| |
| </td>
| |
| <td>325 / 324<br />
| |
| </td>
| |
| <td>| -2 -4 2 0 0 1 &gt;<br />
| |
| </td>
| |
| <td>5.335<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a><br />
| |
| </td>
| |
| <td>351 / 350<br />
| |
| </td>
| |
| <td>| -1 3 -2 -1 0 1 &gt;<br />
| |
| </td>
| |
| <td>4.939<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/minthmic%20chords">minthma</a><br />
| |
| </td>
| |
| <td>352 / 351<br />
| |
| </td>
| |
| <td>| 5 -3 0 0 1 -1 &gt;<br />
| |
| </td>
| |
| <td>4.925<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/gentle%20chords">gentle comma</a><br />
| |
| </td>
| |
| <td>364 / 363<br />
| |
| </td>
| |
| <td>| 2 -1 0 1 -2 1 &gt;<br />
| |
| </td>
| |
| <td>4.763<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/cuthbert%20triad">cuthbert</a><br />
| |
| </td>
| |
| <td>847 / 845<br />
| |
| </td>
| |
| <td>| 0 0 -1 1 2 -2 &gt;<br />
| |
| </td>
| |
| <td>4.093<br />
| |
| </td>
| |
| </tr>
| |
| <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>| <a class="wiki_link" href="http://tel.wikispaces.com/12%20-2%20-1%20-1%200%20-1">12 -2 -1 -1 0 -1</a> &gt;<br />
| |
| </td>
| |
| <td>0.423<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>leprechaun comma<br />
| |
| </td>
| |
| <td>4225 / 4224<br />
| |
| </td>
| |
| <td>| -7 -1 2 0 -1 2 &gt;<br />
| |
| </td>
| |
| <td>0.410<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>jacobin<br />
| |
| </td>
| |
| <td>6656 / 6655<br />
| |
| </td>
| |
| <td>| 9 0 -1 0 -3 1 &gt;<br />
| |
| </td>
| |
| <td>0.260<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>harmonisma<br />
| |
| </td>
| |
| <td>10648 / 10647<br />
| |
| </td>
| |
| <td>| 3 -2 0 -1 3 -2 &gt;<br />
| |
| </td>
| |
| <td>0.163<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>chalmersima<br />
| |
| </td>
| |
| <td>123201 / 123200<br />
| |
| </td>
| |
| <td>| -6 6 -2 -1 -1 2 &gt;<br />
| |
| </td>
| |
| <td>0.014<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:15:&lt;h2&gt; --><h2 id="toc7"><a name="List of commas, by prime limit-17-limit commas"></a><!-- ws:end:WikiTextHeadingRule:15 -->17-limit commas</h2>
| |
|
| |
| | |
| <table class="wiki_table">
| |
| <tr>
| |
| <th>name(s)<br />
| |
| </th>
| |
| <th>ratio<br />
| |
| </th>
| |
| <th>monzo<br />
| |
| </th>
| |
| <th>cents<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>11 semitone comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/45%200%200%200%200%200%20-11">45 0 0 0 0 0 -11</a> &gt;<br />
| |
| </td>
| |
| <td>45.4905<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12 semitone comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -49 0 0 0 0 0 12 &gt;<br />
| |
| </td>
| |
| <td>59.465<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23 semitone comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -93 0 0 0 0 0 23 &gt;<br />
| |
| </td>
| |
| <td>13.974<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt 17-cycle comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -138 0 0 0 0 0 34 &gt;<br />
| |
| </td>
| |
| <td>31.516<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17-ripple integer cents comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/327%200%200%200%200%200%20-80">327 0 0 0 0 0 -80</a> &gt;<br />
| |
| </td>
| |
| <td>3.568<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt flat 2 comma<br />
| |
| </td>
| |
| <td>4131 / 4096<br />
| |
| </td>
| |
| <td>| -12 5 0 0 0 0 1 &gt;<br />
| |
| </td>
| |
| <td>14.730<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>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>Hunt 19-cycle comma<br />
| |
| </td>
| |
| <td>131072 / 130321<br />
| |
| </td>
| |
| <td>| <a class="wiki_link" href="http://tel.wikispaces.com/17%200%200%200%200%200%200%20-4">17 0 0 0 0 0 0 -4</a> &gt;<br />
| |
| </td>
| |
| <td>9.950<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><span style="font-size: 12.8000001907349px;">19-cycle meantone prima</span><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -174 0 0 0 0 0 0 41 &gt;<br />
| |
| </td>
| |
| <td>198.034<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><span style="font-size: 12.8000001907349px;">19-cycle meantone secunda</span><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -191 0 0 0 0 0 0 45 &gt;<br />
| |
| </td>
| |
| <td>188.086<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19-cycle minor tone<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -208 0 0 0 0 0 0 49 &gt;<br />
| |
| </td>
| |
| <td>178.138<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><span style="font-size: 12.8000001907349px;">19-cycle submajor second</span><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -225 0 0 0 0 0 0 53 &gt;<br />
| |
| </td>
| |
| <td>168.190<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>Hunt 19-minor mediant comma<br />
| |
| </td>
| |
| <td>513 / 512<br />
| |
| </td>
| |
| <td>| -9 3 0 0 0 0 0 1 &gt;<br />
| |
| </td>
| |
| <td>3.378<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>spleen comma<br />
| |
| </td>
| |
| <td>210 / 209<br />
| |
| </td>
| |
| <td>| 1 1 1 1 -1 0 0 -1 &gt;<br />
| |
| </td>
| |
| <td>8.264<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>go comma<br />
| |
| </td>
| |
| <td>361 / 360<br />
| |
| </td>
| |
| <td>| -3 -2 -1 0 0 0 0 2 &gt;<br />
| |
| </td>
| |
| <td>4.802<br />
| |
| </td>
| |
| </tr>
| |
| <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>
| |
| | |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/25699772?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;25699772&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><!-- makes tables pretty -->
| |
| <script type="text/javascript">
| |
| /*<![CDATA[*/
| |
| document.write('<style type="text/css"> .wiki_table td { padding: 3px; } <\/style>');
| |
| /*]]>*/
| |
| </script><!-- ws:end:WikiTextMediaRule:0 --></body></html></pre></div>
| |