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| Line 9: |
Line 9: |
| == List of commas, by prime limit == | | == List of commas, by prime limit == |
| === 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)
| |
| |-
| |
| | [[Vishnuzma]], semisuper comma
| |
| | Sasepbiguma
| |
| | s14gM
| |
| | 6115295232 / 6103515625
| |
| | {{Monzo| 23 6 -14 }}
| |
| | 3.3380
| |
| | [[Gene Ward Smith]] (2001), for ''semisuper comma''
| |
| |-
| |
| | [[Enneadeca]], 19-tone-comma
| |
| | 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]], minortonma
| |
| | 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
| |
| | [[User:Xenllium|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
| |
| | Saletriguma
| |
| | s33gM
| |
| | <abbr title="116450459770592056836096 / 116415321826934814453125">(48 digits)</abbr>
| |
| | {{Monzo| 37 25 -33 }}
| |
| | 0.52246
| |
| | [[Paul Erlich]] (2002)
| |
| |-
| |
| | Egads
| |
| | 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
| |
| | Tritrila-sepbiyoma
| |
| | 9L14yM
| |
| | <abbr title="162285243890121480027996826171875 / 162259276829213363391578010288128">(66 digits)</abbr>
| |
| | {{Monzo| -107 47 14 }}
| |
| | 0.27703
| |
| | [[Paul Erlich]] (2002)
| |
| |-
| |
| | Gross
| |
| | Quinbisa-foseguma
| |
| | 10s47gM
| |
| | <abbr title="22300745198530623141535718272648361505980416 / 22297583945629639856633730232715606689453125">(88 digits)</abbr>
| |
| | {{Monzo| 144 -22 -47 }}
| |
| | 0.24543
| |
| | [[Paul Erlich]] (2002)
| |
| |-
| |
| | Senior
| |
| | Quadla-sepquinguma
| |
| | 4L35gM
| |
| | <abbr title="381520424476945831628649898809 / 381469726562500000000000000000">(60 digits)</abbr>
| |
| | {{Monzo| -17 62 -35 }}
| |
| | 0.23007
| |
| | [[Paul Erlich]] (2002)
| |
| |-
| |
| | [[Counterquectisma]], deltapion
| |
| | 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
| |
| | [[User:Xenllium|Xenllium]] (2026)
| |
| |-
| |
| | [[Quectisma]]
| |
| |
| |
| |
| |
| |
| |
| | {{Monzo| 554 -351 1 }}
| |
| | 0.10841
| |
| | [[User:CompactStar|CompactStar]] (2023)
| |
| |-
| |
| | Raider
| |
| | Tritrisa-thiseyoma
| |
| | 9s37yM
| |
| | <abbr title="171798691840000000000000000000000000000000000000 / 171792506910670443678820376588540424234035840667">(96 digits)</abbr>
| |
| | {{Monzo| 71 -99 37 }}
| |
| | 0.062327
| |
| | [[Gene Ward Smith]] (2002)
| |
| |-
| |
| | Pirate
| |
| | Quinla-sepsepyoma
| |
| | 5L49yM
| |
| | <abbr title="17763568394002504646778106689453125 / 17763086495282268024161967871623168">(70 digits)</abbr>
| |
| | {{Monzo| -90 -15 49 }}
| |
| | 0.046966
| |
| | [[Paul Erlich]] (2002)
| |
| |-
| |
| | Viking
| |
| | 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" |