Unnoticeable comma: Difference between revisions
Musically irrelevant gunk removed. Tags: Reverted Visual edit |
→List of commas, by prime limit: less absurdities |
||
| (One intermediate revision by one other user not shown) | |||
| Line 8: | Line 8: | ||
== List of commas, by prime limit == | == List of commas, by prime limit == | ||
=== 3-limit commas === | |||
{{See also| Table of 3-limit commas }} | |||
{| class="wikitable" | |||
|- | |||
! Name(s) | |||
! colspan="2" | [[Color name]] | |||
! [[Ratio]] | |||
! [[Monzo]] | |||
! [[Cent]]s | |||
! Named by | |||
|- | |||
| [[Qian's large comma]] | |||
| 359wama | |||
| 359wM | |||
| <abbr title="1934329451767021421190980423006270754962252499447372679942534652297789463068718331568475476554301659845788554312924531179306109686817232569946089263295619210341718686733067/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712">(344 digits)</abbr> | |||
| {{Monzo| -569 359 }} | |||
| 1.8453 | |||
| Chen Yingshi (2009) | |||
|- | |||
| [[Qian's small comma]], sasktel comma | |||
| 306wama | |||
| 306wM | |||
| <abbr title="99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632/99793888233710926097676673961542382339552034110870991187709058567130998942396826836880350287497238272034603157195937657211050782186192219658614729">(292 digits)</abbr> | |||
| {{Monzo| 485 -306 }} | |||
| 1.7697 | |||
| Chen Yingshi (2009) for ''Qian's small comma'' | |||
|- | |||
| [[Satanic comma]] | |||
| 665wama | |||
| 665wM | |||
| <abbr title="193034257116813465350415306746516837350333763798962117430788985740786485136987943002905988649011085058426719117038711696606024631330152759176330399379617346789616335692978372064681236597226671488585092334981423081811727458166457361300251189808300631437024118571790058070714566731059066970852059271394655662607817543843/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984">(636 digits)</abbr> | |||
| {{Monzo| -1054 665 }} | |||
| 0.075575 | |||
| [[Marc Jones]] (1990) | |||
|- | |||
| 15601-comma | |||
| 15601wama | |||
| 15601wM | |||
| (14888 digits) | |||
| {{Monzo| 24727 -15601 }} | |||
| 0.031499 | |||
| | |||
|- | |||
| 31867-comma | |||
| 31867wama | |||
| 31867wM | |||
| (30410 digits) | |||
| {{Monzo| -50508 31867 }} | |||
| 0.012577 | |||
| | |||
|- | |||
| [[Archangelic comma]] | |||
| 190537wama | |||
| 190537wM | |||
| (181820 digits) | |||
| {{monzo| 301994 -190537 }} | |||
| 0.00011162 | |||
| [[Dawson Berry]] (2022) | |||
|} | |||
=== 5-limit commas === | === 5-limit commas === | ||
{| class="wikitable" | |||
|- | |||
! Name(s) | |||
! colspan="2" | [[Color name]] | |||
! [[Ratio]] | |||
! [[Monzo]] | |||
! [[Cent]]s | |||
! Named by | |||
|- | |||
| [[Dodifo comma]] | |||
| Quadla-sepquinyoma | |||
| 4L35yM | |||
| <abbr title="2910383045673370361328125 / 2904698108822600835661824">(50 digits)</abbr> | |||
| {{Monzo| -67 -9 35 }} | |||
| 3.3850 | |||
| [[Petr Pařízek]] (2011) | |||
|- | |||
| [[Vishnu comma]], semisuper comma | |||
| Sasepbiguma | |||
| s14gM | |||
| 6115295232 / 6103515625 | |||
| {{Monzo| 23 6 -14 }} | |||
| 3.3380 | |||
| [[Gene Ward Smith]] (2001), for ''semisuper comma'' | |||
|- | |||
| [[Enneadeca]] | |||
| Neyoma | |||
| 19yM | |||
| 19073486328125 / <br>19042491875328 | |||
| {{Monzo| -14 -19 19 }} | |||
| 2.8155 | |||
| [[Gene Ward Smith]] (2001) | |||
|- | |||
| [[Vavoom comma]] | |||
| Quinla-seyoma | |||
| 5L17yM | |||
| <abbr title="295578376007080078125 / 295147905179352825856">(42 digits)</abbr> | |||
| {{Monzo| -68 18 17 }} | |||
| 2.5232 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Alphatricot comma]] | |||
| Quadsa-triyoma | |||
| 4s3yM | |||
| 68719476736000 / <br>68630377364883 | |||
| {{Monzo| 39 -29 3 }} | |||
| 2.2461 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Schisma]] | |||
| Layoma | |||
| LyM | |||
| 32805 / 32768 | |||
| {{Monzo| -15 8 1 }} | |||
| 1.9537 | |||
| [[Hermann von Helmholtz]], [[Alexander Ellis]] (1875) | |||
|- | |||
| [[Aluminium comma]] | |||
| Sepsa-theguma | |||
| 7s13gM | |||
| <abbr title="4951760157141521099596496896 / 4946966739525117513427734375">(56 digits)</abbr> | |||
| {{Monzo| 92 -39 -13 }} | |||
| 1.6767 | |||
| [[Eliora]] (2023) | |||
|- | |||
| [[Counterschisma]] | |||
| Tribilaguma | |||
| 6LgM | |||
| <abbr title="2954312706550833698643 / 2951479051793528258560">(44 digits)</abbr> | |||
| {{Monzo| -69 45 -1 }} | |||
| 1.6613 | |||
| [[Gene Ward Smith]] (2003) | |||
|- | |||
| [[Neon comma]] | |||
| Laquinquinbiguma | |||
| L50gM | |||
| <abbr title="88900702359186211632409599176343552 / 88817841970012523233890533447265625">(70 digits)</abbr> | |||
| {{monzo| 21 60 -50 }} | |||
| 1.6144 | |||
| [[Eliora]] (2024) | |||
|- | |||
| [[Septendecima]] | |||
| Lala-sebiyoma | |||
| LL34yM | |||
| <abbr title="582076609134674072265625 / 581595589965365114830848">(48 digits)</abbr> | |||
| {{Monzo| -52 -17 34 }} | |||
| 1.4313 | |||
| | |||
|- | |||
| [[Luna comma]], hemithirds comma | |||
| Sasa-quintriguma | |||
| ss15gM | |||
| 274877906944 / <br>274658203125 | |||
| {{Monzo| 38 -2 -15 }} | |||
| 1.3843 | |||
| [[Gene Ward Smith]] (2002) | |||
|- | |||
| [[Minortone comma]] | |||
| Trila-seguma | |||
| 3L17gM | |||
| <abbr title="50031545098999707 / 50000000000000000">(34 digits)</abbr> | |||
| {{Monzo| -16 35 -17 }} | |||
| 1.0919 | |||
| [[Gene Ward Smith]] (2002) | |||
|- | |||
| [[Ennealimma]] | |||
| Satritribiyoma | |||
| s18yM | |||
| 7629394531250 / <br>7625597484987 | |||
| {{Monzo| 1 -27 18 }} | |||
| 0.86183 | |||
| [[Paul Erlich]], [[Gene Ward Smith]] (2001) | |||
|- | |||
| [[Astro comma]] | |||
| Tribisa-thiweguma | |||
| 6s31gM | |||
| <abbr title="2475880078570760549798248448 / 2474715001881122589111328125">(56 digits)</abbr> | |||
| {{Monzo| 91 -12 -31 }} | |||
| 0.81486 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Gaster comma]] | |||
| Quadbila-neguma | |||
| 8L19gM | |||
| <abbr title="22528399544939174411840147874772641 / 22517998136852480000000000000000000">(70 digits)</abbr> | |||
| {{Monzo| -70 72 -19 }} | |||
| 0.79950 | |||
| [[Xenllium]] (2022) | |||
|- | |||
| [[Niobium comma]] | |||
| | |||
| | |||
| | |||
| {{Monzo| -875 492 41 }} | |||
| 0.72269 | |||
| [[Eliora]] (2023) | |||
|- | |||
| [[Kwazy comma]] | |||
| Quadla-quadquadyoma | |||
| 4L16yM | |||
| <abbr title="9010162353515625 / 9007199254740992">(32 digits)</abbr> | |||
| {{Monzo| -53 10 16 }} | |||
| 0.56943 | |||
| [[Paul Erlich]], [[Gene Ward Smith]] (2002) | |||
|- | |||
| [[Whoosh comma]] | |||
| Saletriguma | |||
| s33gM | |||
| <abbr title="116450459770592056836096 / 116415321826934814453125">(48 digits)</abbr> | |||
| {{Monzo| 37 25 -33 }} | |||
| 0.52246 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Egads comma]] | |||
| Setriyoma | |||
| 51yM | |||
| <abbr title="444089209850062616169452667236328125 / 444002166576103304796646509039845376">(72 digits)</abbr> | |||
| {{Monzo| -36 -52 51 }} | |||
| 0.33936 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Monzisma]] | |||
| Quinsa-yoyoma | |||
| 5syyM | |||
| <abbr title="450359962737049600 / 450283905890997363">(36 digits)</abbr> | |||
| {{Monzo| 54 -37 2 }} | |||
| 0.29240 | |||
| [[Margo Schulter]] (2001) | |||
|- | |||
| [[Fortune comma]] | |||
| Tritrila-sepbiyoma | |||
| 9L14yM | |||
| <abbr title="162285243890121480027996826171875 / 162259276829213363391578010288128">(66 digits)</abbr> | |||
| {{Monzo| -107 47 14 }} | |||
| 0.27703 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Gross comma]] | |||
| Quinbisa-foseguma | |||
| 10s47gM | |||
| <abbr title="22300745198530623141535718272648361505980416 / 22297583945629639856633730232715606689453125">(88 digits)</abbr> | |||
| {{Monzo| 144 -22 -47 }} | |||
| 0.24543 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Senior comma]] | |||
| Quadla-sepquinguma | |||
| 4L35gM | |||
| <abbr title="381520424476945831628649898809 / 381469726562500000000000000000">(60 digits)</abbr> | |||
| {{Monzo| -17 62 -35 }} | |||
| 0.23007 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| [[Counterquectisma]], deltapion comma | |||
| Quintritrilayoma | |||
| 45LyM | |||
| | |||
| {{Monzo| -500 314 1 }} | |||
| 0.18399 | |||
| [[Eliora]] (2023) | |||
|- | |||
| [[Septarium comma]] | |||
| Sasepquadtriguma | |||
| s84gM | |||
| <abbr title="51704256436926231056548749215693807357721577836111615492096 / 51698788284564229679463043254372678347863256931304931640625">(118 digits)</abbr> | |||
| {{Monzo| 73 77 -84 }} | |||
| 0.18310 | |||
| [[Xenllium]] (2026) | |||
|- | |||
| [[Quectisma]] | |||
| | |||
| | |||
| | |||
| {{Monzo| 554 -351 1 }} | |||
| 0.10841 | |||
| [[User:CompactStar|CompactStar]] (2023) | |||
|- | |||
| Raider comma | |||
| Tritrisa-thiseyoma | |||
| 9s37yM | |||
| <abbr title="171798691840000000000000000000000000000000000000 / 171792506910670443678820376588540424234035840667">(96 digits)</abbr> | |||
| {{Monzo| 71 -99 37 }} | |||
| 0.062327 | |||
| [[Gene Ward Smith]] (2002) | |||
|- | |||
| Pirate comma | |||
| Quinla-sepsepyoma | |||
| 5L49yM | |||
| <abbr title="17763568394002504646778106689453125 / 17763086495282268024161967871623168">(70 digits)</abbr> | |||
| {{Monzo| -90 -15 49 }} | |||
| 0.046966 | |||
| [[Paul Erlich]] (2002) | |||
|- | |||
| Viking comma | |||
| Nela-siweyoma | |||
| 19L61yM | |||
| | |||
| {{Monzo| -251 69 61 }} | |||
| 0.031605 | |||
| [[Gene Ward Smith]] (2002) | |||
|- | |||
| [[Kirnberger's atom]] | |||
| Sepbisa-quadtriguma | |||
| 14s12gM | |||
| <abbr title="2923003274661805836407369665432566039311865085952 / 2922977339492680612451840826835216578535400390625">(98 digits)</abbr> | |||
| {{Monzo| 161 -84 -12 }} | |||
| 0.015361 | |||
| | |||
|- | |||
| Selenia | |||
| | |||
| | |||
| | |||
| {{Monzo| -433 -137 280 }} | |||
| 0.0047636 | |||
| | |||
|- | |||
| Titania | |||
| | |||
| | |||
| | |||
| {{Monzo| 2746 -521 -827 }} | |||
| 0.0031829 | |||
| | |||
|- | |||
| Quark | |||
| | |||
| | |||
| | |||
| {{Monzo| -573 237 85 }} | |||
| 8.8361 × 10<sup>-4</sup> | |||
| | |||
|- | |||
| Scamp | |||
| | |||
| | |||
| | |||
| {{Monzo| -5836 4293 -417 }} | |||
| 3.3472 × 10<sup>-5</sup> | |||
| | |||
|- | |||
| Rover | |||
| | |||
| | |||
| | |||
| {{Monzo| 1634 1502 -1729 }} | |||
| 2.7513 × 10<sup>-5</sup> | |||
| | |||
|- | |||
| Rascal | |||
| | |||
| | |||
| | |||
| {{Monzo| -7470 2791 1312 }} | |||
| 5.9596 × 10<sup>-6</sup> | |||
| | |||
|} | |||
=== 7-limit commas === | === 7-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||