Large comma: Difference between revisions
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| Line 19: | Line 19: | ||
| [[26-comma]] | | [[26-comma]] | ||
| Wa-26 | | Wa-26 | ||
| | | w-26 | ||
| 2541865828329 / 2199023255552 | | 2541865828329 / 2199023255552 | ||
| {{monzo| -41 26 }} | | {{monzo| -41 26 }} | ||
| Line 26: | Line 26: | ||
| 27-comma | | 27-comma | ||
| Wa-27 | | Wa-27 | ||
| | | w-27 | ||
| 8796093022208 / 7625597484987 | | 8796093022208 / 7625597484987 | ||
| {{monzo| 43 -27 }} | | {{monzo| 43 -27 }} | ||
| Line 40: | Line 40: | ||
| 43-comma | | 43-comma | ||
| Wa-43 | | Wa-43 | ||
| | | w-43 | ||
| | | | ||
| {{monzo| -68 43 }} | | {{monzo| -68 43 }} | ||
| Line 47: | Line 47: | ||
| 63-comma | | 63-comma | ||
| Wa-63 | | Wa-63 | ||
| | | w-63 | ||
| | | | ||
| {{monzo| 100 -63 }} | | {{monzo| 100 -63 }} | ||
| Line 54: | Line 54: | ||
| [[31st-octave temperaments|31-comma]] | | [[31st-octave temperaments|31-comma]] | ||
| Wa-31 | | Wa-31 | ||
| | | w-31 | ||
| 617673396283947 / <br>562949953421312 | | 617673396283947 / <br>562949953421312 | ||
| {{monzo| -49 31 }} | | {{monzo| -49 31 }} | ||
| Line 61: | Line 61: | ||
| 22-comma | | 22-comma | ||
| Wa-22 | | Wa-22 | ||
| | | w-22 | ||
| 34359738368 / <br>31381059609 | | 34359738368 / <br>31381059609 | ||
| {{monzo| 35 -22 }} | | {{monzo| 35 -22 }} | ||
| Line 68: | Line 68: | ||
| 19-comma | | 19-comma | ||
| Wa-19 | | Wa-19 | ||
| | | w-19 | ||
| 1162261467 / 1073741824 | | 1162261467 / 1073741824 | ||
| {{monzo| -30 19 }} | | {{monzo| -30 19 }} | ||
| Line 82: | Line 82: | ||
| 46-comma | | 46-comma | ||
| Wa-46 | | Wa-46 | ||
| | | w-46 | ||
| | | | ||
| {{monzo| 73 -46 }} | | {{monzo| 73 -46 }} | ||
| Line 106: | Line 106: | ||
| Delorean | | Delorean | ||
| Tribigu | | Tribigu | ||
| | | 6g3 | ||
| 17496 / 15625 | | 17496 / 15625 | ||
| {{monzo| 3 7 -6 }} | | {{monzo| 3 7 -6 }} | ||
| 195.803 | | 195.803 | ||
|- | |- | ||
| 31-3/5-comma | | 31-3/5-comma | ||
| Thiwegu | | Thiwegu | ||
| | | 31g7 | ||
| | | | ||
| {{monzo| 23 31 -31 }} | | {{monzo| 23 31 -31 }} | ||
| 184.88 | | 184.88 | ||
| Line 134: | Line 127: | ||
| 5-cycle major second, hexadecathird comma | | 5-cycle major second, hexadecathird comma | ||
| Lala-quadquadyo | | Lala-quadquadyo | ||
| | | LL16y-4 | ||
| 152587890625 / <br>137438953472 | | 152587890625 / <br>137438953472 | ||
| {{monzo| -37 0 16 }} | | {{monzo| -37 0 16 }} | ||
| Line 141: | Line 134: | ||
| [[Nadir comma]] | | [[Nadir comma]] | ||
| Lalatrigu | | Lalatrigu | ||
| | | LL3g1 | ||
| 1162261467 / 1048576000 | | 1162261467 / 1048576000 | ||
| {{monzo| -23 19 -3 }} | | {{monzo| -23 19 -3 }} | ||
| Line 148: | Line 141: | ||
| | | | ||
| Legu | | Legu | ||
| | | 11g4 | ||
| [[53747712 / 48828125]] | | [[53747712 / 48828125]] | ||
| {{monzo| 13 8 -11 }} | | {{monzo| 13 8 -11 }} | ||
| Line 155: | Line 148: | ||
| Enipucrop | | Enipucrop | ||
| Latriyobi | | Latriyobi | ||
| | | L3y1 | ||
| 1125 / 1024 | | 1125 / 1024 | ||
| {{monzo| -10 2 3 }} | | {{monzo| -10 2 3 }} | ||
| Line 176: | Line 169: | ||
| [[Rarity comma]] | | [[Rarity comma]] | ||
| Quadla-theyo | | Quadla-theyo | ||
| | | 4L13y-5 | ||
| | | | ||
| {{monzo| -57 17 13 }} | | {{monzo| -57 17 13 }} | ||
| Line 183: | Line 176: | ||
| Gorgo, laconic | | Gorgo, laconic | ||
| Latrigubi | | Latrigubi | ||
| | | L3g2 | ||
| 2187 / 2000 | | 2187 / 2000 | ||
| {{monzo| -4 7 -3 }} | | {{monzo| -4 7 -3 }} | ||
| Line 190: | Line 183: | ||
| [[2048/1875|Smate]], symbolic comma | | [[2048/1875|Smate]], symbolic comma | ||
| Saquadgu | | Saquadgu | ||
| | | s4g3 | ||
| 2048 / 1875 | | 2048 / 1875 | ||
| {{monzo| 11 -1 -4 }} | | {{monzo| 11 -1 -4 }} | ||
| Line 197: | Line 190: | ||
| Acute limma | | Acute limma | ||
| Trila-neyobi | | Trila-neyobi | ||
| | | 3L19y-5 | ||
| 19073486328125 / <br>17592186044416 | | 19073486328125 / <br>17592186044416 | ||
| {{monzo| -44 0 19 }} | | {{monzo| -44 0 19 }} | ||
| Line 204: | Line 197: | ||
| 31-15-comma | | 31-15-comma | ||
| Tritrila-thiweyo | | Tritrila-thiweyo | ||
| | | 9L31y-11 | ||
| | | | ||
| {{monzo| -121 31 31 }} | | {{monzo| -121 31 31 }} | ||
| Line 225: | Line 218: | ||
| 11-3/5-comma | | 11-3/5-comma | ||
| Leyo | | Leyo | ||
| | | 11y-2 | ||
| 48828125 / 45349632 | | 48828125 / 45349632 | ||
| {{monzo| -8 -11 11 }} | | {{monzo| -8 -11 11 }} | ||
| Line 232: | Line 225: | ||
| 27-3/5-comma | | 27-3/5-comma | ||
| Tritritrigu | | Tritritrigu | ||
| | | 27g6 | ||
| | | | ||
| {{monzo| 20 27 -27 }} | | {{monzo| 20 27 -27 }} | ||
| Line 239: | Line 232: | ||
| Lemba | | Lemba | ||
| Latribiyo | | Latribiyo | ||
| | | L6y-2 | ||
| 140625 / 131072 | | 140625 / 131072 | ||
| {{monzo| -17 2 6 }} | | {{monzo| -17 2 6 }} | ||
| Line 253: | Line 246: | ||
| [[3125/2916|Sixix comma]] | | [[3125/2916|Sixix comma]] | ||
| Quinyo | | Quinyo | ||
| | | 5y1 | ||
| 3125 / 2916 | | 3125 / 2916 | ||
| {{monzo| -2 -6 5 }} | | {{monzo| -2 -6 5 }} | ||
| Line 260: | Line 253: | ||
| Diesma | | Diesma | ||
| Lathegu | | Lathegu | ||
| | | L13g3 | ||
| 10460353203 / <br>9765625000 | | 10460353203 / <br>9765625000 | ||
| {{monzo| -3 21 -13 }} | | {{monzo| -3 21 -13 }} | ||
| Line 267: | Line 260: | ||
| Comic comma | | Comic comma | ||
| Saquadyobi | | Saquadyobi | ||
| | | s4y2 | ||
| 5120000 / 4782969 | | 5120000 / 4782969 | ||
| {{monzo| 13 -14 4 }} | | {{monzo| 13 -14 4 }} | ||
| Line 295: | Line 288: | ||
| Wronecki | | Wronecki | ||
| Latribigu | | Latribigu | ||
| | | L6g2 | ||
| 531441 / 500000 | | 531441 / 500000 | ||
| {{monzo| -5 12 -6 }} | | {{monzo| -5 12 -6 }} | ||
| Line 302: | Line 295: | ||
| [[Wesley comma]] | | [[Wesley comma]] | ||
| Lasepyobi | | Lasepyobi | ||
| | | L7y-2 | ||
| 78125 / 73728 | | 78125 / 73728 | ||
| {{monzo| -13 -2 7 }} | | {{monzo| -13 -2 7 }} | ||
| Line 319: | Line 312: | ||
| [[Antidilemma]] | | [[Antidilemma]] | ||
| Sasa-theruquad | | Sasa-theruquad | ||
| | | ss13r-2 | ||
| 137438953472 / 96889010407 | | 137438953472 / 96889010407 | ||
| {{monzo| 37 0 0 -13 }} | | {{monzo| 37 0 0 -13 }} | ||
| Line 326: | Line 319: | ||
| [[Dilemma]] | | [[Dilemma]] | ||
| Lala-thezoquad | | Lala-thezoquad | ||
| | | LL13z9 | ||
| 96889010407 / 68719476736 | | 96889010407 / 68719476736 | ||
| {{monzo| -36 0 0 13 }} | | {{monzo| -36 0 0 13 }} | ||
| Line 341: | Line 334: | ||
| Hexatone comma, 6-7-comma | | Hexatone comma, 6-7-comma | ||
| Satribiru | | Satribiru | ||
| | | s6r-2 | ||
| 131072 / 117649 | | 131072 / 117649 | ||
| {{monzo| 17 0 0 -6 }} | | {{monzo| 17 0 0 -6 }} | ||
| Line 348: | Line 341: | ||
| 45-7/5-comma | | 45-7/5-comma | ||
| Quintritriruyo | | Quintritriruyo | ||
| | | 45ry-27 | ||
| | | | ||
| {{monzo| 22 0 45 -45 }} | | {{monzo| 22 0 45 -45 }} | ||
| Line 355: | Line 348: | ||
| 63-35-comma | | 63-35-comma | ||
| Tritribila-septritrizoyo | | Tritribila-septritrizoyo | ||
| | | 18L63zy8 | ||
| | | | ||
| {{monzo| -323 0 63 63 }} | | {{monzo| -323 0 63 63 }} | ||
| Line 362: | Line 355: | ||
| 8-21-comma | | 8-21-comma | ||
| Lala-quadbizo | | Lala-quadbizo | ||
| | | LL8z4 | ||
| 37822859361 / <br>34359738368 | | 37822859361 / <br>34359738368 | ||
| {{monzo| -35 8 0 8 }} | | {{monzo| -35 8 0 8 }} | ||
| Line 369: | Line 362: | ||
| 46-7-comma | | 46-7-comma | ||
| Sepla-twethebizobi | | Sepla-twethebizobi | ||
| | | 7L46z18 | ||
| | | | ||
| {{monzo| -129 0 0 46 }} | | {{monzo| -129 0 0 46 }} | ||
| Line 376: | Line 369: | ||
| 25-7/5-comma | | 25-7/5-comma | ||
| Quinquinzogu | | Quinquinzogu | ||
| | | 25zg17 | ||
| | | | ||
| {{monzo| -12 0 -25 25 }} | | {{monzo| -12 0 -25 25 }} | ||
| Line 383: | Line 376: | ||
| 43-21-comma | | 43-21-comma | ||
| Quadtrisa-fotherubi | | Quadtrisa-fotherubi | ||
| | | 12s43r-11 | ||
| | | | ||
| {{monzo| 189 -43 0 -43 }} | | {{monzo| 189 -43 0 -43 }} | ||
| Line 397: | Line 390: | ||
| 43-7/5-comma | | 43-7/5-comma | ||
| Fotheruyo | | Fotheruyo | ||
| | | 43ry-26 | ||
| | | | ||
| {{monzo| 21 0 43 -43 }} | | {{monzo| 21 0 43 -43 }} | ||
| Line 418: | Line 411: | ||
| Hendecatone comma, 11-7-comma | | Hendecatone comma, 11-7-comma | ||
| Sasa-leru | | Sasa-leru | ||
| | | ss11r-4 | ||
| 2147483648 / 1977326743 | | 2147483648 / 1977326743 | ||
| {{monzo| 31 0 0 -11 }} | | {{monzo| 31 0 0 -11 }} | ||
| Line 432: | Line 425: | ||
| 55-35-comma | | 55-35-comma | ||
| Quadquadla-lequinzoyobi | | Quadquadla-lequinzoyobi | ||
| | | 16L55zy7 | ||
| | | | ||
| {{monzo| -282 0 55 55 }} | | {{monzo| -282 0 55 55 }} | ||
| Line 439: | Line 432: | ||
| 27-7/5-comma | | 27-7/5-comma | ||
| Tritritrizogu | | Tritritrizogu | ||
| | | 27zg18 | ||
| | | | ||
| {{monzo| -13 0 -27 27 }} | | {{monzo| -13 0 -27 27 }} | ||
| Line 446: | Line 439: | ||
| 41-7-comma | | 41-7-comma | ||
| Tribila-fowezo | | Tribila-fowezo | ||
| | | 6L41z16 | ||
| | | | ||
| {{monzo| -115 0 0 41 }} | | {{monzo| -115 0 0 41 }} | ||
| Line 453: | Line 446: | ||
| 13-21-comma | | 13-21-comma | ||
| Quadla-thezobi | | Quadla-thezobi | ||
| | | 4L13z5 | ||
| | | | ||
| {{monzo| -57 13 0 13 }} | | {{monzo| -57 13 0 13 }} | ||
| Line 474: | Line 467: | ||
| 41-7/5-comma | | 41-7/5-comma | ||
| Foweruyo | | Foweruyo | ||
| | | 41ry-25 | ||
| | | | ||
| {{monzo| 20 0 41 -41 }} | | {{monzo| 20 0 41 -41 }} | ||
| Line 481: | Line 474: | ||
| 7-35-comma | | 7-35-comma | ||
| Sasa-seprugu | | Sasa-seprugu | ||
| | | ss7rg1 | ||
| 68719476736 / <br>64339296875 | | 68719476736 / <br>64339296875 | ||
| {{monzo| 36 0 -7 -7 }} | | {{monzo| 36 0 -7 -7 }} | ||
| Line 488: | Line 481: | ||
| 38-21-comma | | 38-21-comma | ||
| Lesa-nebiru | | Lesa-nebiru | ||
| | | 11s38r-10 | ||
| | | | ||
| {{monzo| 167 -38 0 -38 }} | | {{monzo| 167 -38 0 -38 }} | ||
| Line 495: | Line 488: | ||
| [[729/686|Triru comma]] | | [[729/686|Triru comma]] | ||
| Triru | | Triru | ||
| | | 3r-2 | ||
| 729 / 686 | | 729 / 686 | ||
| {{monzo| -1 6 0 -3 }} | | {{monzo| -1 6 0 -3 }} | ||
| Line 512: | Line 505: | ||
| 11-cycle major second prote, 33-11-comma | | 11-cycle major second prote, 33-11-comma | ||
| Quinla-letrilobi | | Quinla-letrilobi | ||
| | | 5L33(1o)-7 | ||
| | | | ||
| {{monzo| -114 0 0 0 33 }} | | {{monzo| -114 0 0 0 33 }} | ||
| Line 526: | Line 519: | ||
| 11-enipucrop, 9-11-comma | | 11-enipucrop, 9-11-comma | ||
| Latritrilo | | Latritrilo | ||
| | | L9(1o)-2 | ||
| 2357947691 / 2147483648 | | 2357947691 / 2147483648 | ||
| {{monzo| -31 0 0 0 9 }} | | {{monzo| -31 0 0 0 9 }} | ||
| Line 557: | Line 550: | ||
| 13-cycle neutral second | | 13-cycle neutral second | ||
| Quadbila-fithethobi | | Quadbila-fithethobi | ||
| | | 8L53(3o)7 | ||
| | | | ||
| {{monzo| -196 0 0 0 0 53 }} | | {{monzo| -196 0 0 0 0 53 }} | ||
| Line 578: | Line 571: | ||
| Heptasixth comma, 13-cycle secor | | Heptasixth comma, 13-cycle secor | ||
| Sasepthu | | Sasepthu | ||
| | | s7(3u)1 | ||
| 67108864 / 62748517 | | 67108864 / 62748517 | ||
| {{monzo| 26 0 0 0 0 -7 }} | | {{monzo| 26 0 0 0 0 -7 }} | ||
| Line 585: | Line 578: | ||
| Heptadecasixth comma, neutral thirteenth comma | | Heptadecasixth comma, neutral thirteenth comma | ||
| Sasa-sethubi | | Sasa-sethubi | ||
| | | ss17(3u)-2 | ||
| | | | ||
| {{monzo| 63 0 0 0 0 -17 }} | | {{monzo| 63 0 0 0 0 -17 }} | ||
| Line 626: | Line 619: | ||
| 19-cycle meantone prima | | 19-cycle meantone prima | ||
| Tribila-foweno | | Tribila-foweno | ||
| | | 6L41(19o)13 | ||
| | | | ||
| {{monzo| -174 0 0 0 0 0 0 41 }} | | {{monzo| -174 0 0 0 0 0 0 41 }} | ||
| Line 640: | Line 633: | ||
| 19-cycle meantone secunda | | 19-cycle meantone secunda | ||
| Tribila-quintritrino | | Tribila-quintritrino | ||
| | | 6L45(19o)14 | ||
| | | | ||
| {{monzo| -191 0 0 0 0 0 0 45 }} | | {{monzo| -191 0 0 0 0 0 0 45 }} | ||
| Line 647: | Line 640: | ||
| 19-cycle minor tone | | 19-cycle minor tone | ||
| Sepla-sepsepno | | Sepla-sepsepno | ||
| | | 7L49(19o)15 | ||
| | | | ||
| {{monzo| -208 0 0 0 0 0 0 49 }} | | {{monzo| -208 0 0 0 0 0 0 49 }} | ||
| Line 661: | Line 654: | ||
| 19-cycle submajor second | | 19-cycle submajor second | ||
| Quadbila-fithenobi | | Quadbila-fithenobi | ||
| | | 8L53(19o)16 | ||
| | | | ||
| {{monzo| -225 0 0 0 0 0 0 53 }} | | {{monzo| -225 0 0 0 0 0 0 53 }} | ||
| Line 722: | Line 715: | ||
|- | |- | ||
| [[47/44]] | | [[47/44]] | ||
| | | Fosolu | ||
| | | 47o1u2 | ||
| 47 / 44 | | 47 / 44 | ||
| 2.11.47 {{monzo| -2 -1 1 }} | | 2.11.47 {{monzo| -2 -1 1 }} | ||
Revision as of 23:37, 3 May 2025
A large comma is a comma whose size is approximately 100 cents and larger. As intervals, these commas are steps or even skips.
For commas under 100 cents, see Medium comma for commas in between 30 and 100 cents or Small comma for commas under 30 cents. For commas under 3.5 cents, see Unnoticeable comma.
Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.
List of commas, by prime limit
3-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 26-comma | Wa-26 | w-26 | 2541865828329 / 2199023255552 | [-41 26⟩ | 250.83 |
| 27-comma | Wa-27 | w-27 | 8796093022208 / 7625597484987 | [43 -27⟩ | 247.21 |
| Pythagorean whole tone | Wa 2nd | w2 | 9 / 8 | [-3 2⟩ | 203.91 |
| 43-comma | Wa-43 | w-43 | [-68 43⟩ | 184.065 | |
| 63-comma | Wa-63 | w-63 | [100 -63⟩ | 176.835 | |
| 31-comma | Wa-31 | w-31 | 617673396283947 / 562949953421312 |
[-49 31⟩ | 160.605 |
| 22-comma | Wa-22 | w-22 | 34359738368 / 31381059609 |
[35 -22⟩ | 156.99 |
| 19-comma | Wa-19 | w-19 | 1162261467 / 1073741824 | [-30 19⟩ | 137.145 |
| Apotome | Lawa | Lw1 | 2187 / 2048 | [-11 7⟩ | 113.685 |
| 46-comma | Wa-46 | w-46 | [73 -46⟩ | 110.07 | |
5-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Shallowtone comma | Lalayobi | LLy1 | 295245 / 262144 | [-18 10 1⟩ | 205.864 |
| Delorean | Tribigu | 6g3 | 17496 / 15625 | [3 7 -6⟩ | 195.803 |
| 31-3/5-comma | Thiwegu | 31g7 | [23 31 -31⟩ | 184.88 | |
| Minor whole tone, yo 2nd | Yo | y2 | 10 / 9 | [1 -2 1⟩ | 182.404 |
| 5-cycle major second, hexadecathird comma | Lala-quadquadyo | LL16y-4 | 152587890625 / 137438953472 |
[-37 0 16⟩ | 181.019 |
| Nadir comma | Lalatrigu | LL3g1 | 1162261467 / 1048576000 | [-23 19 -3⟩ | 178.204 |
| Legu | 11g4 | 53747712 / 48828125 | [13 8 -11⟩ | 166.189 | |
| Enipucrop | Latriyobi | L3y1 | 1125 / 1024 | [-10 2 3⟩ | 162.851 |
| Supersharp | Sayoyo | syy2 | 800 / 729 | [5 -6 2⟩ | 160.897 |
| Nether comma | Lala-gugu | LLgg1 | 14348907 / 13107200 | [-19 15 -2⟩ | 156.698 |
| Rarity comma | Quadla-theyo | 4L13y-5 | [-57 17 13⟩ | 155.313 | |
| Gorgo, laconic | Latrigubi | L3g2 | 2187 / 2000 | [-4 7 -3⟩ | 154.744 |
| Smate, symbolic comma | Saquadgu | s4g3 | 2048 / 1875 | [11 -1 -4⟩ | 152.790 |
| Acute limma | Trila-neyobi | 3L19y-5 | 19073486328125 / 17592186044416 |
[-44 0 19⟩ | 139.961 |
| 31-15-comma | Tritrila-thiweyo | 9L31y-11 | [-121 31 31⟩ | 136.33 | |
| Deeptone comma, Tragicomma | Lagu | Lg1 | 177147 / 163840 | [-15 11 -1⟩ | 135.191 |
| Large limma | Gugu | gg2 | 27 / 25 | [0 3 -2⟩ | 133.238 |
| 11-3/5-comma | Leyo | 11y-2 | 48828125 / 45349632 | [-8 -11 11⟩ | 127.946 |
| 27-3/5-comma | Tritritrigu | 27g6 | [20 27 -27⟩ | 122.315 | |
| Lemba | Latribiyo | L6y-2 | 140625 / 131072 | [-17 2 6⟩ | 121.792 |
| 87-15-comma | [340 -87 -87⟩ | 120.622 | |||
| Sixix comma | Quinyo | 5y1 | 3125 / 2916 | [-2 -6 5⟩ | 119.839 |
| Diesma | Lathegu | L13g3 | 10460353203 / 9765625000 |
[-3 21 -13⟩ | 118.977 |
| Comic comma | Saquadyobi | s4y2 | 5120000 / 4782969 | [13 -14 4⟩ | 117.885 |
| Just diatonic semitone | Gubi | g2 | 16 / 15 | [4 -1 -1⟩ | 111.731 |
| Beatles | Sasa-gugu | ssgg3 | 524288 / 492075 | [19 -9 -2⟩ | 109.778 |
| 300-3/5-comma | [-221 -300 300⟩ | 107.614 | |||
| Wronecki | Latribigu | L6g2 | 531441 / 500000 | [-5 12 -6⟩ | 105.578 |
| Wesley comma | Lasepyobi | L7y-2 | 78125 / 73728 | [-13 -2 7⟩ | 100.286 |
7-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Antidilemma | Sasa-theruquad | ss13r-2 | 137438953472 / 96889010407 | [37 0 0 -13⟩ | 605.263 |
| Dilemma | Lala-thezoquad | LL13z9 | 96889010407 / 68719476736 | [-36 0 0 13⟩ | 594.737 |
| Septimal major second, supermajor second,
augmented whole-tone, ru 2nd |
Rubi | r2 | 8 / 7 | [3 0 0 -1⟩ | 231.174 |
| Hexatone comma, 6-7-comma | Satribiru | s6r-2 | 131072 / 117649 | [17 0 0 -6⟩ | 187.045 |
| 45-7/5-comma | Quintritriruyo | 45ry-27 | [22 0 45 -45⟩ | 186.951 | |
| 63-35-comma | Tritribila-septritrizoyo | 18L63zy8 | [-323 0 63 63⟩ | 173.796 | |
| 8-21-comma | Lala-quadbizo | LL8z4 | 37822859361 / 34359738368 |
[-35 8 0 8⟩ | 166.247 |
| 46-7-comma | Sepla-twethebizobi | 7L46z18 | [-129 0 0 46⟩ | 165.992 | |
| 25-7/5-comma | Quinquinzogu | 25zg17 | [-12 0 -25 25⟩ | 162.805 | |
| 43-21-comma | Quadtrisa-fotherubi | 12s43r-11 | [189 -43 0 -43⟩ | 156.421 | |
| Septimal neutral second, 35th harmonic | Zoyo | zy2 | 35 / 32 | [-5 0 1 1⟩ | 155.140 |
| 43-7/5-comma | Fotheruyo | 43ry-26 | [21 0 43 -43⟩ | 151.976 | |
| Swetismic neutral second | Zozogu | zzg3 | 49 / 45 | [0 -2 -1 2⟩ | 147.428 |
| 160/147 | Ruruyobi | rry1 | 160 / 147 | [5 -1 1 -2⟩ | 146.707 |
| Hendecatone comma, 11-7-comma | Sasa-leru | ss11r-4 | 2147483648 / 1977326743 | [31 0 0 -11⟩ | 142.915 |
| Septimal subtone | Larubi | Lr1 | 243 / 224 | [-5 5 0 -1⟩ | 140.949 |
| 55-35-comma | Quadquadla-lequinzoyobi | 16L55zy7 | [-282 0 55 55⟩ | 132.679 | |
| 27-7/5-comma | Tritritrizogu | 27zg18 | [-13 0 -27 27⟩ | 127.829 | |
| 41-7-comma | Tribila-fowezo | 6L41z16 | [-115 0 0 41⟩ | 121.862 | |
| 13-21-comma | Quadla-thezobi | 4L13z5 | [-57 13 0 13⟩ | 120.152 | |
| Major diatonic semitone | Ruyo | ry1 | 15 / 14 | [-1 1 1 -1⟩ | 119.443 |
| Primate comma | Saru | sr2 | 16384 / 15309 | [14 -7 0 -1⟩ | 117.489 |
| 41-7/5-comma | Foweruyo | 41ry-25 | [20 0 41 -41⟩ | 117 | |
| 7-35-comma | Sasa-seprugu | ss7rg1 | 68719476736 / 64339296875 |
[36 0 -7 -7⟩ | 114.023 |
| 38-21-comma | Lesa-nebiru | 11s38r-10 | [167 -38 0 -38⟩ | 110.326 | |
| Triru comma | Triru | 3r-2 | 729 / 686 | [-1 6 0 -3⟩ | 105.252 |
11-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 11-cycle major second prote, 33-11-comma | Quinla-letrilobi | 5L33(1o)-7 | [-114 0 0 0 33⟩ | 193.492 | |
| 4/5-tone, Ptolemy's second | Logu | 1og2 | 11 / 10 | [-1 0 -1 0 1⟩ | 165.004 |
| 11-enipucrop, 9-11-comma | Latritrilo | L9(1o)-2 | 2357947691 / 2147483648 | [-31 0 0 0 9⟩ | 161.862 |
| 3/4-tone, undecimal neutral second | Lu | 1u2 | 12 / 11 | [2 1 0 0 -1⟩ | 150.637 |
| Undecimal secor | Lozo | 1oz2 | 77 / 72 | [-3 -2 0 1 1⟩ | 116.234 |
13-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 13-cycle neutral second | Quadbila-fithethobi | 8L53(3o)7 | [-196 0 0 0 0 53⟩ | 147.966 | |
| Large tridecimal 2/3-tone, tridecimal neutral second | Tho | 3o2 | 13 / 12 | [-2 -1 0 0 0 1⟩ | 138.573 |
| Small tridecimal 2/3-tone, tridecimal limma, trienthird | Thuzo | 3uz2 | 14 / 13 | [1 0 0 1 0 -1⟩ | 128.298 |
| Heptasixth comma, 13-cycle secor | Sasepthu | s7(3u)1 | 67108864 / 62748517 | [26 0 0 0 0 -7⟩ | 116.306 |
| Heptadecasixth comma, neutral thirteenth comma | Sasa-sethubi | ss17(3u)-2 | [63 0 0 0 0 -17⟩ | 111.030 | |
17-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 17-limit rational eventone | Sogubi | 17og3 | 17 / 15 | [0 -1 -1 0 0 0 1⟩ | 216.687 |
| 17th harmonic | Iso | 17o2 | 17 / 16 | [-4 0 0 0 0 0 1⟩ | 104.955 |
19-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 19-cycle meantone prima | Tribila-foweno | 6L41(19o)13 | [-174 0 0 0 0 0 0 41⟩ | 198.034 | |
| Undevicesimal rational meantone | Nosu | 19o17u2 | 19 / 17 | [0 0 0 0 0 0 -1 1⟩ | 192.558 |
| 19-cycle meantone secunda | Tribila-quintritrino | 6L45(19o)14 | [-191 0 0 0 0 0 0 45⟩ | 188.086 | |
| 19-cycle minor tone | Sepla-sepsepno | 7L49(19o)15 | [-208 0 0 0 0 0 0 49⟩ | 178.138 | |
| Undevicesimal rational submajor second | Nuzo | 19uz2 | 21 / 19 | [0 1 0 1 0 0 0 -1⟩ | 173.268 |
| 19-cycle submajor second | Quadbila-fithenobi | 8L53(19o)16 | [-225 0 0 0 0 0 0 53⟩ | 168.190 | |
| Dog comma | Inu | 19u1 | 81 / 76 | [-2 4 0 0 0 0 0 -1⟩ | 110.307 |
23-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Large vicesimotertial neutral second | Twethoru | 23or2 | 23 / 21 | 3.7.23 [-1 -1 1⟩ | 157.493 |
| Small vicesimotertial neutral second | Twethuyoyo | 23uyy1 | 25 / 23 | 5.23 [2 -1⟩ | 144.353 |
| 69th harmonic | Twetho | 23o2 | 69 / 64 | 2.3.23 [-6 1 1⟩ | 130.229 |
Higher-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 29th subharmonic | Twenu | 29u2 | 32 / 29 | 2.29 [5 -1⟩ | 170.423 |
| 47/44 | Fosolu | 47o1u2 | 47 / 44 | 2.11.47 [-2 -1 1⟩ | 114.189 |