Medium comma
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A medium comma is a comma whose size is approximately between 30 and 100 cents. These commas are easily perceptible. Many schools do not consider them true commas. In Sagittal notation, intervals in the smaller part of this category are dieses, and intervals in the larger part of this category are semitones[1].
For commas over 100 cents, see Large comma; for commas under 30 cents, see Small comma; for such 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.
List of commas, by prime limit
3-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Pythagorean limma, blackwood comma | Sawa | sw2 | 256 / 243 | [8 -5⟩ | 90.225 | |
301-comma | Wa-301 | w-301 | [-477 301⟩ | 88.455 | ||
248-comma | Wa-248 | w-248 | [-393 248⟩ | 84.840 | ||
111-comma | Wa-111 | w-111 | [176 -111⟩ | 82.995 | ||
142-comma | Wa-142 | w-142 | [-225 142⟩ | 77.610 | ||
217-comma | Wa-217 | w-217 | [344 -217⟩ | 75.765 | ||
89-comma | Wa-89 | w-89 | [-141 89⟩ | 73.995 | ||
Gothic comma, Pythagorean gothma, 17-comma | Wa-17 | ssw3 | 134217728 / 129140163 | [27 -17⟩ | 66.765 | Flora Canou (2023) (for Pyth. gothma and gothic comma) |
289-comma | Wa-289 | w-289 | [-458 289⟩ | 64.995 | ||
70-comma | Wa-70 | w-70 | [111 -70⟩ | 63.150 | ||
183-comma | Wa-183 | w-183 | [-290 183⟩ | 57.765 | ||
176-comma | Wa-176 | w-176 | [279 -176⟩ | 55.920 | ||
229-comma | Wa-229 | w-229 | [363 -229⟩ | 52.305 | ||
77-comma | Wa-77 | w-77 | [-122 77⟩ | 50.535 | ||
Mystery comma, 29-comma | Wa-29 | w-29 | 70368744177664 / 68630377364883 |
[46 -29⟩ | 43.305 | |
277-comma | Wa-277 | w-277 | [-439 277⟩ | 41.535 | ||
224-comma | Wa-224 | w-224 | [-355 224⟩ | 37.920 | ||
135-comma | Wa-135 | w-135 | [214 -135⟩ | 36.075 | ||
171-comma | Wa-171 | w-171 | [-271 171⟩ | 34.305 | ||
118-comma | Wa-118 | w-118 | [-187 118⟩ | 30.690 |
5-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Hogzilla comma | Lala-yoyo | LLyy-2 | 4428675 / 4194304 | [-22 11 2⟩ | 94.132 | |
Pelogic comma, major chroma | Layobi | Ly1 | 135 / 128 | [-7 3 1⟩ | 92.179 | |
Quasisuper comma | Sasagu | ssg3 | 8388608 / 7971615 | [23 -13 -1⟩ | 88.271 | |
Bohpier comma, 13edt comma | Satheyo | sy13-2 | 1220703125 / 1162261467 | [0 -19 13⟩ | 84.933 | |
Ripple comma | Quingu | g52 | 6561 / 6250 | [-1 8 -5⟩ | 84.071 | |
Dodecoid comma | Sasa-sepgu | ssg74 | 536870912 / 512578125 | [29 -8 -7⟩ | 80.164 | CompactStar (2023) |
Doublewide comma | Quadbiyo | y8-2 | 390625 / 373248 | [-9 -6 8⟩ | 78.78 | |
Sevond comma | Sasepyo | sy71 | 5000000 / 4782969 | [6 -14 7⟩ | 76.826 | Petr Pařízek (2011) |
Nusecond comma | Legu | g113 | 51018336 / 48828125 | [5 13 -11⟩ | 75.964 | |
Sentinel comma | Trila-quadyo | L3y4-3 | 8968066875 / 8589934592 | [-33 15 4⟩ | 74.580 | |
Hypovishnuzma | Saquadtrigu | sg124 | 254803968 / 244140625 | [20 5 -12⟩ | 74.010 | ArrowHead294 (2024) |
Stump comma | Latriyo | Ly3-2 | 273375 / 262144 | [-18 7 3⟩ | 72.626 | |
Dicot comma, classic(al) chroma | Yoyo | yy1 | 25 / 24 | [-3 -1 2⟩ | 70.672 | |
Superpyth comma, grave minor second | Sayo | sy2 | 20480 / 19683 | [12 -9 1⟩ | 68.719 | |
Diminished comma, major diesis | Quadgu | g42 | 648 / 625 | [3 4 -4⟩ | 62.565 | Paul Erlich, Carl Lumma (2002) |
Passion comma | Saquingu | sg53 | 262144 / 253125 | [18 -4 -5⟩ | 60.611 | Paul Erlich (2004) |
Shibboleth comma | Tritriyo | y9-2 | 1953125 / 1889568 | [-5 -10 9⟩ | 57.273 | Paul Erlich (2002) |
Mynic comma | Quinbigu | g103 | 10077696 / 9765625 | [9 9 -10⟩ | 54.458 | |
Tritonic comma | Lala-quinyo | LLy5-3 | 553584375 / 536870912 | [-29 11 5⟩ | 53.074 | |
Magus comma | Salegu | sg114 | 50331648 / 48828125 | [24 1 -11⟩ | 52.504 | ArrowHead294 (2024) |
Negri comma, double augmentation diesis | Laquadyo | Ly4-2 | 16875 / 16384 | [-14 3 4⟩ | 51.120 | Paul Erlich (2002) |
Goldis comma | Trisa-quadtrigu | s3g125 | 549755813888 / 533935546875 | [39 -7 -12⟩ | 50.550 | Godtone (2024) |
Porcupine comma, maximal diesis | Triyo | y31 | 250 / 243 | [1 -5 3⟩ | 49.166 | Herman Miller (1999) |
Mowgli comma, 15edt comma | Laquintrigu | Lg153 | 31381059609 / 30517578125 |
[0 22 -15⟩ | 48.304 | |
Immunity comma | Sasa-yoyo | ssyy2 | 1638400 / 1594323 | [16 -13 2⟩ | 47.212 | Mike Battaglia (2011) |
Python comma | Lalagu | LLg-2 | 43046721 / 41943040 | [-23 16 -1⟩ | 44.966 | CompactStar (2023) |
Augmented comma, diesis | Trigu | g32 | 128 / 125 | [7 0 -3⟩ | 41.059 | Paul Erlich, Carl Lumma (2002) |
Wizard comma | Lala-quadtriyo | LLy12-4 | 2197265625 / 2147483648 | [-31 2 12⟩ | 39.675 | |
Sycamore comma | Laleyo | Ly11-3 | 48828125 / 47775744 | [-16 -6 11⟩ | 37.721 | Paul Erlich (2002) |
Absurdity comma | Lala-sepgu | LLg71 | 10460353203 / 10240000000 |
[-17 21 -7⟩ | 36.859 | Mike Battaglia (2011) |
Fifive comma | Saquinbiyo | sy10-2 | 9765625 / 9565938 | [-1 -14 10⟩ | 35.767 | Petr Pařízek (2011) |
Unicorn comma | Laquadbigu | Lg82 | 1594323 / 1562500 | [-2 13 -8⟩ | 34.905 | Paul Erlich (2002) |
Valentine comma | Satritrigu | sg93 | 1990656 / 1953125 | [13 5 -9⟩ | 32.952 | Paul Erlich (2002) |
Aenima comma | Trisa-quadbiyo | s3y82 | 209715200000000 / 205891132094649 |
[29 -30 8⟩ | 31.860 | Douglas Blumeyer (2023) |
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 | Named by | |
---|---|---|---|---|---|---|
Hexadecatone comma, 16-7-comma | Sasa-quadquadrubi | ssr16-6 | 35184372088832 / 33232930569601 |
[45 0 0 -16⟩ | 98.785 | |
Gamelismic minor second | Trizo | z33 | 343 / 324 | [-2 -4 0 3⟩ | 98.658 | Jerdle (2021) |
29-7/5-comma | Twenezogu | z29g2919 | [-14 0 -29 29⟩ | 92.854 | ||
47-35-comma | Thela-fosezoyo | L13z47y476 | [-241 0 47 47⟩ | 91.562 | ||
Septimal minor semitone | Zogu | zg2 | 21 / 20 | [-2 1 -1 1⟩ | 84.467 | |
39-7/5-comma | Thetriruyo | r39y39-24 | [19 0 39 -39⟩ | 82.024 | ||
6561/6272 | Laruru | Lrr-2 | 6561 / 6272 | [-7 8 0 -2⟩ | 77.988 | |
36-7-comma | Quinla-quadtritrizo | L5z3614 | [-101 0 0 36⟩ | 77.733 | ||
Prograde comma, ed7/4 microdiatonic comma | Zozotrigu | zzg33 | 392 / 375 | [3 -1 -3 2⟩ | 76.756 | OffsuitKnave (2022) |
Bapbo comma | Rurugu | rrg1 | 256 / 245 | [8 0 -1 -2⟩ | 76.034 | Flirora (2021) |
18-21-comma | Quinla-tritribizo | L5z186 | [-79 18 0 18⟩ | 74.056 | ||
15-35-comma | Quadsa-quintrirugu | s4r15g15-2 | [77 0 -15 -15⟩ | 72.906 | ||
[1123 0 0 -400⟩ | 69.637 | |||||
47-7-comma | Sepsa-foseru | s7r47-17 | [132 0 0 -47⟩ | 65.182 | ||
35 large diesis | Lazoyo | Lzy1 | 8505 / 8192 | [-13 5 1 1⟩ | 64.915 | Douglas Blumeyer (2024) |
33-21-comma | Tritrisa-letriru | s9r33-9 | [145 -33 0 -33⟩ | 64.23 | ||
Trienstonic comma, septimal third-tone | Zo | z2 | 28 / 27 | [2 -3 0 1⟩ | 62.961 | |
31-7/5-comma | Thiwezogu | z31g3120 | [-15 0 -31 31⟩ | 57.878 | ||
Septimal 2/7-tone | Lazozogu | Lzzg2 | 1323 / 1280 | [-8 3 -1 2⟩ | 57.203 | Eliora (2022) |
Greenwoodma | Ruruyo | rry-2 | 405 / 392 | [-3 4 1 -2⟩ | 56.482 | Francium (2023) |
21-7-comma | Trisa-septriru | s3r21-8 | 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 | Lela-thetrizoyo | L11z39y395 | [-200 0 39 39⟩ | 50.445 | ||
Keega | Trizogu | z3g33 | 1029 / 1000 | [-3 1 -3 3⟩ | 49.492 | Gene Ward Smith (2005) |
Mint comma, septimal quartertone | Rugu | rg1 | 36 / 35 | [2 2 -1 -1⟩ | 48.77 | Mike Battaglia (2012) |
37-7/5-comma | Thiseruyo | r37y37-23 | [18 0 37 -37⟩ | 47.049 | ||
5-21-comma | Saquinru | sr5-2 | 4194304 / 4084101 | [22 -5 0 -5⟩ | 46.095 | |
Nonary comma | 7247757312/7061881225 | [28 3 -2 -10⟩ | 44.98 | Fitzgerald Lee (2024) | ||
Cloudy comma | Laquinzo | Lz53 | 16807 / 16384 | [-14 0 0 5⟩ | 44.13 | Flirora (2021) |
Avicennma, Avicenna's enharmonic diesis | Lazoyoyo | Lzyy1 | 525 / 512 | [-9 1 2 1⟩ | 43.408 | |
Skwares comma | Laquadru | Lr4-3 | 19683 / 19208 | [-3 9 0 -4⟩ | 42.291 | |
Septimal inframinor second | Sazoyo | szy2 | 2240 / 2187 | [6 -7 1 1⟩ | 41.456 | FloraC (2023) |
Septimal octatonic comma | Lala-quadbizoyo | LLz8y82 | 2251875390625 / 2199023255552 |
[-41 0 8 8⟩ | 41.117 | ArrowHead294 (2024) |
Mabilisma | Latrizo-aquinyo | Lz3y51 | 1071875 / 1048576 | [-20 0 5 3⟩ | 38.046 | |
Slendro diesis | Zozo | zz2 | 49 / 48 | [-4 -1 0 2⟩ | 35.697 | |
Arcturus comma | Larutribiyo | Lry6-2 | 15625 / 15309 | [0 -7 6 -1⟩ | 35.371 | |
Jubilisma, tritonic diesis | 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 | Quadla-thiwezo | L4z3112 | [-87 0 0 31⟩ | 33.603 | ||
Llywelynsma, llywelyn comma | Sasepru-agu | sr7g-3 | 4194304 / 4117715 | [22 0 -1 -7⟩ | 31.905 | +merlan #flirora (2021) |
23-35-comma | Sepsa-twetherugu | s7r23g23-3 | [118 0 -23 -23⟩ | 31.789 |
11-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Axirabian limma | Lulubi | 1uu2 | 128 / 121 | [7 0 0 0 -2⟩ | 97.364 | Dawson Berry (2021) |
11-cycle major seventh prote, 35-11-comma | Quinla-sepquinlo | L51o35-8 | [-121 0 0 0 35⟩ | 96.128 | ||
Undecimal minor semitone | Loru | 1or1 | 22 / 21 | [1 -1 0 -1 1⟩ | 80.537 | |
Wormwoodma | Lolozogu | 1oozg2 | 847 / 810 | [-1 -4 -1 1 2⟩ | 77.328 | Jerdle (2023) |
11-cycle chroma, 11-11-comma | Lala-lelo | LL1o11-3 | 285311670611 / 274877906944 |
[-38 0 0 0 11⟩ | 64.497 | |
Undecimal major diesis | Lalu | L1u1 | 729 / 704 | [-6 6 0 0 -1⟩ | 60.412 | |
Jug comma | Lulutrityo | 1uuy31 | 125 / 121 | [0 0 3 0 -2⟩ | 56.305 | CompactStar (2024) |
Io comma, undecimal quartertone, al-Farabi quartertone | Ilo | 1o1 | 33 / 32 | [-5 1 0 0 1⟩ | 53.273 | |
25·11/7 medium diesis | Luzogugu | 1uzgg2 | 567 / 550 | [-1 4 -2 1 -1⟩ | 52.701 | Douglas Blumeyer (2024) |
Sterno | Lotriru | 1or3-2 | 352 / 343 | [5 0 0 -3 1⟩ | 44.84 | |
Alpharabian paralimma | Satrilu | s1u32 | 4096 / 3993 | [12 -1 0 0 -3⟩ | 44.091 | Dawson Berry (2021) |
Nokotan, Shikanokonokonokokoshitantanma |
Luzoquinyo | 1uzy51 | 21875 / 21384 | [-3 -5 5 1 -1⟩ | 39.302 | Budjarn Lambeth (2024, short name) R-4981 (2024, long name) |
Undecimal 1/5-tone | Luyo | 1uy1 | 45 / 44 | [-2 2 1 0 -1⟩ | 38.906 | |
Hunt flat 5 comma | Salu | s1u2 | 8192 / 8019 | [13 -6 0 0 -1⟩ | 36.952 | |
11/7 comma | Laluzo | L1uz1 | 45927 / 45056 | [-12 8 0 1 -1⟩ | 33.148 | Douglas Blumeyer (2024) |
Igs boson, 13-11-comma | Sasa-thelu | ss1u134 | 35184372088832 / 34522712143931 |
[45 0 0 0 -13⟩ | 32.867 | |
Telepathma | Loyo | 1oy1 | 55 / 54 | [-1 -3 1 0 1⟩ | 31.767 | Gene Ward Smith (2014) |
Hunt 11-cycle comma | Trila-quadtribilo | L31o24-6 | [-83 0 0 0 24⟩ | 31.631 | ||
Undecimal diesis, konbini comma | Luzogu | 1uzg2 | 56 / 55 | [3 0 -1 1 -1⟩ | 31.194 |
13-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
55/52 | Thuloyo | 3u1oy1 | 55 / 52 | [-2 0 1 0 1 -1⟩ | 97.104 | |
Large tridecimal 1/3-tone | Thogugu | 3ogg2 | 26 / 25 | [1 0 -2 0 0 1⟩ | 67.900 | |
Small tridecimal 1/3-tone | Thu | 3u1 | 27 / 26 | [-1 3 0 0 0 -1⟩ | 65.337 | |
Superflat comma, tridecimal quartertone, Hunt minor submediant comma |
Latho | L3o1 | 1053 / 1024 | [-10 4 0 0 0 1⟩ | 48.348 | Flora Canou (2020) for tridecimal quartertone CompactStar (2023) for superflat comma |
Tridecimal ennealimma | Tritritho | 3o93 | 10604499373 / 10319560704 | [-19 -9 0 0 0⟩ | 47.154 | ArrowHead294 (2024) |
416/405 | Thogu | 3og2 | 416 / 405 | [5 -4 -1 0 0 1⟩ | 46.394 | |
Tridecimal minor diesis | Thuyo | 3uy1 | 40 / 39 | [3 -1 1 0 0 -1⟩ | 43.831 | |
Keladisma | Thotriru | 3or3-2 | 351/343 | [0 3 0 -3 0 1⟩ | 39.915 | Lériendil (2024) |
Astbury | Latribitho | L3o62 | 4826809 / 4718592 | [-19 -2 0 0 0 6⟩ | 39.256 | Peter Kosmorsky (2012) |
13/7 small diesis | Lathuzo | L3uz1 | 1701 / 1664 | [-7 5 0 1 0 -1⟩ | 38.073 | Douglas Blumeyer (2024) |
17-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Small septendecimal semitone, Arabic lute index finger | Su | 17u1 | 18 / 17 | [1 2 0 0 0 0 -1⟩ | 98.955 | |
Septendecimal ~20edo-step | Sulogu | 17u1og1 | 88 / 85 | [3 0 -1 0 1 0 -1⟩ | 60.049 | Budjarn Lambeth (2024) |
12 semitone comma | Lala-quadtriso | LL17o126 | 582622237229761 / 562949953421312 |
[-49 0 0 0 0 0 12⟩ | 59.465 | |
Large septendecimal quartertone | Solu | 17o1u2 | 34 / 33 | [1 -1 0 0 -1 0 1⟩ | 51.682 | Flora Canou (2021) |
Small septendecimal quartertone | Suzoyo | 17uzy1 | 35 / 34 | [-1 0 1 1 0 0 -1⟩ | 50.184 | Flora Canou (2021) |
11 semitone comma | Sasa-lesu | ss17u11-5 | 35184372088832 / 34271896307633 |
[45 0 0 0 0 0 -11⟩ | 45.49 | |
Large septendecimal 1/6-tone, 17th-partial chroma | Sogugu | 17ogg2 | 51 / 50 | [-1 1 -2 0 0 0 1⟩ | 34.283 | Flora Canou (2023) |
Small septendecimal 1/6-tone | Sutho | 17u3o1 | 52 / 51 | [2 -1 0 0 0 1 -1⟩ | 33.617 | Xenllium (2023) |
Hunt 17-cycle comma | Quinsa-sebisu | s517u-34-14 | [139 0 0 0 0 0 -34⟩ | 31.516 |
19-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Large undevicesimal semitone | Ino | 19o2 | 19 / 18 | [-1 -2 0 0 0 0 0 1⟩ | 93.603 | Xenllium (2019) |
Small undevicesimal semitone | Nuyo | 19uy1 | 20 / 19 | [2 0 1 0 0 0 0 -1⟩ | 88.801 | Xenllium (2019) |
Undevicesimal 2/9-tone | Nutho | 19u3o1 | 39 / 38 | [-1 1 0 0 0 1 0 -1⟩ | 44.97 | Xenllium (2023) |
Hendrix comma | Noru | 19or1 | 57 / 56 | [-3 1 0 -1 0 0 0 1⟩ | 30.642 |
23-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Large vicesimotertial semitone | Twetholu | 23o1u2 | 23 / 22 | 2.11.23 [-1 -1 1⟩ | 76.956 | Xenwolf (2020) |
Small vicesimotertial semitone | Twethu | 23u1 | 24 / 23 | 2.3.23 [3 1 -1⟩ | 73.681 | Xenwolf (2020) |
Undecimisma | Twethosusutho | 23o17uu3o1 | 299 / 289 | 13.17.23 [1 -2 1⟩ | 58.891 | Inisil (2024) |
Lipsett comma | Labitwethu | L23uu-2 | 2187 / 2116 | 2.3.23 [-2 7 -2⟩ | 57.136 | Budjarn Lambeth (2024) |
Vicesimotertial 1/5-tone | Twethogu | 23og2 | 46 / 45 | 2.3.5.23 [1 -2 -1 1⟩ | 38.051 | Flirora (2023) |
Higher-limit commas
Name(s) | Color name | Ratio | Monzo | Cents | Named by | |
---|---|---|---|---|---|---|
Engineer's comma | π / 3 | 79.840 | Eliora (2022) | |||
47-limit ~quartertone comma | Safoso | s47o2 | 752 / 729 | 2.3.47 [4 -6 1⟩ | 53.777 | Stephen Weigel (2023) |
37-limit Wyschnegradsky ~quartertone | Thiso | 37o2 | 37 / 36 | 2.3.37 [-2 -2 1⟩ | 47.434 | Stephen Weigel (2023) |
Oxidizer comma | 729 / 712 | 2.3.89 [-3 6 -1⟩ | 40.850 | Budjarn Lambeth (2023) | ||
Lutra comma | Latrithiwo | L31o3-3 | 268119 / 262144 | 2.3.31 [-18 2 3⟩ | 39.017 | Budjarn Lambeth (2024) |
Canine comma | 1000 / 979 | 2.5.11.89 [3 3 -1 -1⟩ | 36.743 | Budjarn Lambeth (2023) | ||
48/47 | Fosu | 47u1 | 48 / 47 | 2.3.47 [4 1 -1⟩ | 36.448 | |
Vicesimononal comma | Tweno | 29o1 | 261 / 256 | 2.3.29 [-8 2 1⟩ | 33.487 | Stephen Weigel (2023) |
Attic comma | 7921 / 7776 | 2.3.89 [-5 -5 2⟩ | 31.985 | Budjarn Lambeth (2023) |