Medium comma: Difference between revisions
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updated the color names |
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| Line 28: | Line 28: | ||
|[[29-comma]] | |[[29-comma]] | ||
|wa-29 comma | |wa-29 comma | ||
| | |w-29 | ||
|70368744177664 / 68630377364883 | |70368744177664 / 68630377364883 | ||
|{{Monzo| 46 -29 }} | |{{Monzo| 46 -29 }} | ||
| Line 35: | Line 35: | ||
|70-comma | |70-comma | ||
|wa-70 comma | |wa-70 comma | ||
| | |w-70 | ||
| | | | ||
|{{Monzo| 111 -70 }} | |{{Monzo| 111 -70 }} | ||
| Line 42: | Line 42: | ||
|77-comma | |77-comma | ||
|wa-77 comma | |wa-77 comma | ||
| | |w-77 | ||
| | | | ||
|{{Monzo| -122 77 }} | |{{Monzo| -122 77 }} | ||
| Line 604: | Line 604: | ||
|{{Monzo| -1 3 0 0 0 -1 }} | |{{Monzo| -1 3 0 0 0 -1 }} | ||
|65.337 | |65.337 | ||
|- | |- | ||
|tridecimal 1/3-tone | |tridecimal 1/3-tone | ||
| Line 684: | Line 677: | ||
|- | |- | ||
|11 semitone comma | |11 semitone comma | ||
| | |Sasa-lesu | ||
| | |ss17u<sup>11</sup>-5 | ||
|35184372088832 / 34271896307633 | |35184372088832 / 34271896307633 | ||
|{{Monzo| 45 0 0 0 0 0 -11 }} | |{{Monzo| 45 0 0 0 0 0 -11 }} | ||
| Line 691: | Line 684: | ||
|- | |- | ||
|12 semitone comma | |12 semitone comma | ||
| | |Lala-quadtriso | ||
| | |LL17o<sup>12</sup>6 | ||
|582622237229761 / 562949953421312 | |582622237229761 / 562949953421312 | ||
|{{Monzo| -49 0 0 0 0 0 12 }} | |{{Monzo| -49 0 0 0 0 0 12 }} | ||
Revision as of 21:27, 22 April 2020
Lists of commas between 30 and 100 cents in size. For commas over 100 cents, see Large commas and for commas under 30 cents, see Comma or 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.
List of commas, by prime limit
3-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| limma, Pythagorean minor second | small wa 2nd | sw2 | 256 / 243 | [8 -5⟩ | 90.225 |
| 17-comma | wa-17 comma | ssw3 | 134217728 / 129140163 | [27 -17⟩ | 66.765 |
| 29-comma | wa-29 comma | w-29 | 70368744177664 / 68630377364883 | [46 -29⟩ | 43.305 |
| 70-comma | wa-70 comma | w-70 | [111 -70⟩ | 63.15 | |
| 77-comma | wa-77 comma | w-77 | [-122 77⟩ | 50.535 | |
5-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| double large yoyo negative 2nd | Lala-yoyo | LLyy-2 | 4428675 / 4194304 | [-22 11 2⟩ | 94.132 |
| major chroma, major limma, pelogic comma | Layobi | Ly1 | 135 / 128 | [-7 3 1⟩ | 92.179 |
| double small gu 3rd | Sasagu | ssg3 | 8388608 / 7971615 | [23 -13 -1⟩ | 88.271 |
| bohpier, 13edt comma | Satheyo | sy13-2 | 1220703125 / 1162261467 | [0 -19 13⟩ | 84.933 |
| ripple | Quingu | g52 | 6561 / 6250 | [-1 8 -5⟩ | 84.071 |
| doublewide | Quadbiyo | y8-2 | 390625 / 373248 | [-9 -6 8⟩ | 78.78 |
| sevond | Sasepyo | sy71 | 5000000 / 4782969 | [6 -14 7⟩ | 76.826 |
| nusecond | Legu | g113 | 51018336 / 48828125 | [5 13 -11⟩ | 75.964 |
| sentinel | Trila-quadyo | L3y4-3 | 8968066875 / 8589934592 | [-33 15 4⟩ | 74.580 |
| large triyo negative 2nd | Latriyo | Ly3-2 | 273375 / 262144 | [-18 7 3⟩ | 72.626 |
| chromatic semitone | Yoyo | yy1 | 25 / 24 | [-3 -1 2⟩ | 70.672 |
| superpyth, grave minor second | Sayo | sy2 | 20480 / 19683 | [12 -9 1⟩ | 68.719 |
| major diesis, diminished comma | Quadgu | g42 | 648 / 625 | [3 4 -4⟩ | 62.565 |
| passion | Saquingu | sg53 | 262144 / 253125 | [18 -4 -5⟩ | 60.611 |
| shibboleth | Tritriyo | y9-2 | 1953125 / 1889568 | [-5 -10 9⟩ | 57.273 |
| mynic | Quinbigu | g103 | 10077696 / 9765625 | [9 9 -10⟩ | 54.458 |
| tritonic | Lala-quinyo | LLy5-3 | 553584375 / 536870912 | [-29 11 5⟩ | 53.074 |
| negri comma, double augmentation diesis | Laquadyo | Ly4-2 | 16875 / 16384 | [-14 3 4⟩ | 51.120 |
| maximal diesis, porcupine | Triyo | y31 | 250 / 243 | [1 -5 3⟩ | 49.166 |
| mowgli, 15edt comma | Laquintrigu | Lg153 | 31381059609 / 30517578125 | [0 22 -15⟩ | 48.304 |
| immunity | Sasa-yoyo | ssyy2 | 1638400 / 1594323 | [16 -13 2⟩ | 47.212 |
| lalagu comma | Lalagu | LLg-2 | 43046721 / 41943040 | [-23 16 -1⟩ | 44.966 |
| diesis, augmented comma | Trigu | g32 | 128 / 125 | [7 0 -3⟩ | 41.059 |
| wizard | Lala-quadtriyo | LLy12-4 | 2197265625 / 2147483648 | [-31 2 12⟩ | 39.675 |
| sycamore | Laleyo | Ly11-3 | 48828125 / 47775744 | [-16 -6 11⟩ | 37.721 |
| absurdity | Lala-sepgu | LLg71 | 10460353203 / 10240000000 | [-17 21 -7⟩ | 36.859 |
| fifive | Saquinbiyo | sy10-2 | 9765625 / 9565938 | [-1 -14 10⟩ | 35.767 |
| unicorn | Laquadbigu | Lg82 | 1594323 / 1562500 | [-2 13 -8⟩ | 34.905 |
| valentine comma | Satritrigu | sg93 | 1990656 / 1953125 | [13 5 -9⟩ | 32.952 |
| ampersand, Ampersand's comma | Lala-tribiyo | LLy6-3 | 34171875 / 33554432 | [-25 7 6⟩ | 31.567 |
| mabila comma | Sasa-quinbigu | ssg104 | 268435456 / 263671875 | [28 -3 -10⟩ | 30.998 |
7-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| hexadecatone comma, 16-7-comma | Sasa-quadquadrubi | ssr16-6 | 35184372088832 / 33232930569601 | [45 0 0 -16⟩ | 98.785 |
| 29-7/5-comma | [-14 0 -29 29⟩ | 92.854 | |||
| 47-35-comma | [-241 0 47 47⟩ | 91.562 | |||
| minor semitone | Zogu | zg2 | 21 / 20 | [-2 1 -1 1⟩ | 84.467 |
| 39-7/5-comma | [19 0 39 -39⟩ | 82.024 | |||
| laruru negative 2nd | Laruru | Lrr-2 | 6561 / 6272 | [-7 8 0 -2⟩ | 77.988 |
| 36-7-comma | [-101 0 0 36⟩ | 77.733 | |||
| bapbo | Rurugu | rrg1 | 256 / 245 | [8 0 -1 -2⟩ | 76.034 |
| 18-21-comma | [-79 18 0 18⟩ | 74.056 | |||
| 15-35-comma | [77 0 -15 -15⟩ | 72.906 | |||
| [1123 0 0 -400⟩ | 69.637 | ||||
| 47-7-comma | [132 0 0 -47⟩ | 65.182 | |||
| 33-21-comma | [145 -33 0 -33⟩ | 64.23 | |||
| Archytas' 1/3-tone | Zo | z2 | 28 / 27 | [2 -3 0 1⟩ | 62.961 |
| 31-7/5-comma | [-15 0 -31 31⟩ | 57.878 | |||
| greenwoodma | Ruruyo | rry-2 | 405 / 392 | [-3 4 1 -2⟩ | 56.482 |
| 21-7-comma | 576460752303423488 / 558545864083284007 | [59 0 0 -21⟩ | 54.656 | ||
| Harrison's comma | Laru | Lr-2 | 59049 / 57344 | [-13 10 0 -1⟩ | 50.724 |
| 39-35-comma | [-200 0 39 39⟩ | 50.445 | |||
| keega | Trizogu | z3g33 | 1029 / 1000 | [-3 1 -3 3⟩ | 49.492 |
| septimal quarter tone | Rugu | rg1 | 36 / 35 | [2 2 -1 -1⟩ | 48.77 |
| 37-7/5-comma | [18 0 37 -37⟩ | 47.049 | |||
| 5-21-comma | Saquinru | sr5-2 | 4194304 / 4084101 | [22 -5 0 -5⟩ | 46.095 |
| cloudy | Laquinzo | Lz53 | 16807 / 16384 | [-14 0 0 5⟩ | 44.13 |
| Avicenna, Avicenna's enharmonic diesis | Lazoyoyo | Lzyy1 | 525 / 512 | [-9 1 2 1⟩ | 43.408 |
| 8-35-comma | Lala-quadbizoyo | LLz8y82 | 2251875390625 / 2199023255552 | [-41 0 8 8⟩ | 41.117 |
| slendro diesis | Zozo | zz2 | 49 / 48 | [-4 -1 0 2⟩ | 35.697 |
| tritonic diesis, jubilisma | Biruyo | rryy-2 | 50 / 49 | [1 0 2 -2⟩ | 34.976 |
| eric | Sepru | r7-4 | 839808 / 823543 | [7 8 0 -7⟩ | 33.859 |
| German sixth comma | [-87 0 0 31⟩ | 33.603 | |||
| 23-35-comma | [118 0 -23 -23⟩ | 31.789 | |||
11-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 11-cycle major seventh prote, 35-11-comma | [-121 0 0 0 35⟩ | 96.128 | |||
| undecimal minor semitone | Loru | 1or1 | 22 / 21 | [1 -1 0 -1 1⟩ | 80.537 |
| lalu unison | Lalu | L1u1 | 729 / 704 | [-6 6 0 0 -1⟩ | 60.412 |
| undecimal comma, al-Farabi's 1/4-tone | Ilo | 1o1 | 33 / 32 | [-5 1 0 0 1⟩ | 53.273 |
| Hunt flat 5 comma | Salu | s1u2 | 8192 / 8019 | [13 -6 0 0 -1⟩ | 36.952 |
| sterno | Lotriru | 1or3-2 | 352 / 343 | [5 0 0 -3 1⟩ | 44.84 |
| 1/5-tone | Loyo | 1uy1 | 45 / 44 | [-2 2 1 0 -1⟩ | 38.906 |
| undecimal diesis | Lozogu | 1uzg2 | 56 / 55 | [3 0 -1 1 -1⟩ | 31.194 |
| telepathma | Loyo | 1oy1 | 55 / 54 | [-1 -3 1 0 1⟩ | 31.767 |
| 11-cycle chroma, 11-11-comma | Lala-lelo | LL1o11-3 | 285311670611 / 274877906944 | [-38 0 0 0 11⟩ | 64.497 |
| the Igs boson, 13-11-comma | Sasa-thelu | ss1u134 | 35184372088832 / 34522712143931 | [45 0 0 0 -13⟩ | 32.867 |
| Hunt 11-cycle comma | [-83 0 0 0 24⟩ | 31.631 | |||
13-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| tridecimal comma | Thu | 3u1 | 27 / 26 | [-1 3 0 0 0 -1⟩ | 65.337 |
| tridecimal 1/3-tone | Thogu | 3og2 | 26 / 25 | [1 0 -2 0 0 1⟩ | 67.9 |
| Hunt minor submediant comma | Latho | L3o1 | 1053 / 1024 | [-10 4 0 0 0 1⟩ | 48.348 |
| tridecimal minor diesis | Thuyo | 3uy1 | 40 / 39 | [3 -1 1 0 0 -1⟩ | 43.831 |
| astburyp | Latribitho | L3o62 | 4826809 / 4718592 | [-19 -2 0 0 0 6⟩ | 39.256 |
17-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Arabic lute index finger | Su | 17u1 | 18 / 17 | [1 2 0 0 0 0 -1⟩ | 98.955 |
| septendecimal 1/4-tone | Suzoyo | 17uzy1 | 35 / 34 | [-1 0 1 1 0 0 -1⟩ | 50.184 |
| solu 2nd | Solu | 17o1u2 | 34 / 33 | [1 -1 0 0 -1 0 1⟩ | 51.682 |
| 17th-partial chroma | Sogugu | 17ogg2 | 51 / 50 | [-1 1 -2 0 0 0 1⟩ | 34.283 |
| sutho unison | Sutho | 17u3o1 | 52 / 51 | [2 -1 0 0 0 1 -1⟩ | 33.617 |
| 11 semitone comma | Sasa-lesu | ss17u11-5 | 35184372088832 / 34271896307633 | [45 0 0 0 0 0 -11⟩ | 45.49 |
| 12 semitone comma | Lala-quadtriso | LL17o126 | 582622237229761 / 562949953421312 | [-49 0 0 0 0 0 12⟩ | 59.465 |
| Hunt 17-cycle comma | [139 0 0 0 0 0 -34⟩ | 31.516 | |||
19-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| undevicesimal semitone | Ino | 19o2 | 19 / 18 | [-1 -2 0 0 0 0 0 1⟩ | 93.603 |
| small undevicesimal semitone | Nuyo | 19uy1 | 20 / 19 | [2 0 1 0 0 0 0 -1⟩ | 88.801 |
| nutho unison | Nutho | 19u3o1 | 39 / 38 | [-1 1 0 0 0 1 0 -1⟩ | 44.97 |
| noru unison | Noru | 19or1 | 57 / 56 | [-3 1 0 -1 0 0 0 1⟩ | 30.642 |