Medium comma: Difference between revisions

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Update and prefer "comma names" to "interval names" of each comma
Line 16: Line 16:
! [[Cents]]
! [[Cents]]
|-
|-
| limma, Pythagorean minor second
| [[256/243|limma, Pythagorean minor second]]
| Sawa
| Sawa
| sw2
| sw2
| [[256/243|256 / 243]]
| 256 / 243
| {{monzo| 8 -5 }}
| {{monzo| 8 -5 }}
| 90.225
| 90.225
Line 173: Line 173:
| 94.132
| 94.132
|-
|-
| major chroma, pelogic comma
| [[135/128|pelogic comma]], major chroma
| Layobi
| Layobi
| Ly1
| Ly1
| [[135/128|135 / 128]]
| 135 / 128
| {{monzo| -7 3 1 }}
| {{monzo| -7 3 1 }}
| 92.179
| 92.179
Line 236: Line 236:
| 72.626
| 72.626
|-
|-
| classic chromatic semitone
| [[25/24|dicot comma]], classic(al) chroma
| Yoyo
| Yoyo
| yy1
| yy1
| [[25/24|25 / 24]]
| 25 / 24
| {{monzo| -3 -1 2 }}
| {{monzo| -3 -1 2 }}
| 70.672
| 70.672
Line 250: Line 250:
| 68.719
| 68.719
|-
|-
| major diesis, [[648/625|diminished comma]]
| [[648/625|diminished comma]], major diesis
| Quadgu
| Quadgu
| g<sup>4</sup>2
| g<sup>4</sup>2
Line 292: Line 292:
| 51.120
| 51.120
|-
|-
| porcupine comma, maximal diesis
| [[250/243|porcupine comma]], maximal diesis
| Triyo
| Triyo
| y<sup>3</sup>1
| y<sup>3</sup>1
| [[250/243|250 / 243]]
| 250 / 243
| {{monzo| 1 -5 3 }}
| {{monzo| 1 -5 3 }}
| 49.166
| 49.166
Line 320: Line 320:
| 44.966
| 44.966
|-
|-
| diesis, augmented comma
| [[128/125|augmented comma]], diesis
| Trigu
| Trigu
| g<sup>3</sup>2
| g<sup>3</sup>2
| [[128/125|128 / 125]]
| 128 / 125
| {{monzo| 7 0 -3 }}
| {{monzo| 7 0 -3 }}
| 41.059
| 41.059
Line 334: Line 334:
| 39.675
| 39.675
|-
|-
| [[sycamore]]
| [[sycamore comma]]
| Laleyo
| Laleyo
| Ly<sup>11</sup>-3
| Ly<sup>11</sup>-3
Line 413: Line 413:
| 91.562
| 91.562
|-
|-
| septimal minor semitone
| [[21/20|septimal minor semitone]]
| Zogu
| Zogu
| zg2
| zg2
Line 441: Line 441:
| 77.733
| 77.733
|-
|-
| [[Ed7/4|ED7/4]] microdiatonic comma
| [[392/375|prograde comma]], ed7/4 microdiatonic comma
| Zozotrigu
| Zozotrigu
| zzg<sup>3</sup>3
| zzg<sup>3</sup>3
| [[392/375|392 / 375]]
| 392 / 375
| {{monzo| 3 -1 -3 2 }}
| {{monzo| 3 -1 -3 2 }}
| 76.756
| 76.756
|-
|-
| bapbo
| [[256/245|bapbo]]
| Rurugu
| Rurugu
| rrg1
| rrg1
Line 469: Line 469:
| 72.906
| 72.906
|-
|-
| <strike>slendro integer cents comma</strike>
| <strike>slendro integer cents comma</strike>{{clarify}}
|
|
|
|
Line 490: Line 490:
| 64.23
| 64.23
|-
|-
| Archytas' 1/3-tone
| [[28/27|trienstonic comma]], septimal third-tone
| Zo
| Zo
| z2
| z2
Line 518: Line 518:
| 54.656
| 54.656
|-
|-
| Harrison's comma
| [[59049/57344|Harrison's comma]]
| Laru
| Laru
| Lr-2
| Lr-2
| [[59049/57344|59049 / 57344]]
| 59049 / 57344
| {{monzo| -13 10 0 -1 }}
| {{monzo| -13 10 0 -1 }}
| 50.724
| 50.724
Line 539: Line 539:
| 49.492
| 49.492
|-
|-
| septimal 1/4-tone
| [[36/35|mint comma]], septimal 1/4-tone
| Rugu
| Rugu
| rg1
| rg1
| [[36/35|36 / 35]]
| 36 / 35
| {{monzo| 2 2 -1 -1 }}
| {{monzo| 2 2 -1 -1 }}
| 48.77
| 48.77
Line 567: Line 567:
| 44.13
| 44.13
|-
|-
| Avicennma, Avicenna's enharmonic diesis
| avicennma, Avicenna's enharmonic diesis
| Lazoyoyo
| Lazoyoyo
| Lzyy1
| Lzyy1
Line 581: Line 581:
| 41.117
| 41.117
|-
|-
| [[Mabilismic clan|mabilisma]]
| [[mabilisma]]
| Latrizo-aquinyo
| Latrizo-aquinyo
| Lz<sup>3</sup>y<sup>5</sup>1
| Lz<sup>3</sup>y<sup>5</sup>1
Line 588: Line 588:
| 38.046
| 38.046
|-
|-
| slendro diesis
| [[49/48|slendro diesis]]
| Zozo
| Zozo
| zz2
| zz2
| [[49/48|49 / 48]]
| 49 / 48
| {{monzo| -4 -1 0 2 }}
| {{monzo| -4 -1 0 2 }}
| 35.697
| 35.697
|-
|-
| [[Arcturus clan|Arcturus comma]]
| [[arcturus comma]]
| Larutribiyo
| Larutribiyo
| Lry<sup>6</sup>-2
| Lry<sup>6</sup>-2
Line 602: Line 602:
| 35.371
| 35.371
|-
|-
| jubilisma, tritonic diesis
| [[50/49|jubilisma]], tritonic diesis
| Biruyo
| Biruyo
| rryy-2
| rryy-2
| [[50/49|50 / 49]]
| 50 / 49
| {{monzo| 1 0 2 -2 }}
| {{monzo| 1 0 2 -2 }}
| 34.976
| 34.976
Line 623: Line 623:
| 33.603
| 33.603
|-
|-
| [[Llywelyn clan|llywelyn comma]]
| [[4194304/4117715|llywelyn comma]]
| Sasepru-agu
| Sasepru-agu
| sr<sup>7</sup>g-3
| sr<sup>7</sup>g-3
| [[4194304/4117715|4194304 / 4117715]]
| 4194304 / 4117715
| {{monzo| 22 0 -1 -7 }}
| {{monzo| 22 0 -1 -7 }}
| 31.905
| 31.905
Line 653: Line 653:
| 96.128
| 96.128
|-
|-
| undecimal minor semitone
| [[22/21|undecimal minor semitone]]
| Loru
| Loru
| 1or1
| 1or1
Line 667: Line 667:
| 64.497
| 64.497
|-
|-
| lalu unison
| [[729/704|undecimal major diesis]]
| Lalu
| Lalu
| L1u1
| L1u1
Line 674: Line 674:
| 60.412
| 60.412
|-
|-
| undecimal 1/4-tone, al-Farabi's 1/4-tone
| [[33/32|undecimal 1/4-tone, al-Farabi's 1/4-tone]]
| Ilo
| Ilo
| 1o1
| 1o1
Line 688: Line 688:
| 44.84
| 44.84
|-
|-
| undecimal 1/5-tone
| [[45/44|undecimal 1/5-tone]]
| Luyo
| Luyo
| 1uy1
| 1uy1
Line 709: Line 709:
| 32.867
| 32.867
|-
|-
| telepathma
| [[55/54|telepathma]]
| Loyo
| Loyo
| 1oy1
| 1oy1
Line 723: Line 723:
| 31.631
| 31.631
|-
|-
| undecimal diesis
| [[56/55|undecimal diesis]]
| Luzogu
| Luzogu
| 1uzg2
| 1uzg2
Line 739: Line 739:
! [[Cent]]s
! [[Cent]]s
|-
|-
| large tridecimal 1/3-tone
| [[26/25|large tridecimal 1/3-tone]]
| Thogugu
| Thogugu
| 3ogg2
| 3ogg2
| [[26/25|26 / 25]]
| 26 / 25
| {{monzo| 1 0 -2 0 0 1 }}
| {{monzo| 1 0 -2 0 0 1 }}
| 67.9
| 67.9
|-
|-
| small tridecimal 1/3-tone
| [[27/26|small tridecimal 1/3-tone]]
| Thu
| Thu
| 3u1
| 3u1
| [[27/26|27 / 26]]
| 27 / 26
| {{monzo| -1 3 0 0 0 -1 }}
| {{monzo| -1 3 0 0 0 -1 }}
| 65.337
| 65.337
|-
|-
| tridecimal 1/4-tone, Hunt minor submediant comma
| [[1053/1024|tridecimal 1/4-tone]], Hunt minor submediant comma
| Latho
| Latho
| L3o1
| L3o1
| [[1053/1024|1053 / 1024]]
| 1053 / 1024
| {{monzo| -10 4 0 0 0 1 }}
| {{monzo| -10 4 0 0 0 1 }}
| 48.348
| 48.348
|-
|-
| tridecimal minor diesis
| [[40/39|tridecimal minor diesis]]
| Thuyo
| Thuyo
| 3uy1
| 3uy1
Line 783: Line 783:
! [[Cent]]s
! [[Cent]]s
|-
|-
| small septendeciml semitone, Arabic lute index finger
| [[18/17|small septendeciml semitone]], Arabic lute index finger
| Su
| Su
| 17u1
| 17u1
Line 797: Line 797:
| 59.465
| 59.465
|-
|-
| large septendecimal 1/4-tone
| [[34/33|large septendecimal 1/4-tone]]
| Solu
| Solu
| 17o1u2
| 17o1u2
Line 804: Line 804:
| 51.682
| 51.682
|-
|-
| small septendecimal 1/4-tone
| [[35/34|small septendecimal 1/4-tone]]
| Suzoyo
| Suzoyo
| 17uzy1
| 17uzy1
Line 818: Line 818:
| 45.49
| 45.49
|-
|-
| large septendecimal 1/6-tone, 17th-partial chroma
| [[51/50|large septendecimal 1/6-tone]], 17th-partial chroma
| Sogugu
| Sogugu
| 17ogg2
| 17ogg2
Line 825: Line 825:
| 34.283
| 34.283
|-
|-
| small septendecimal 1/6-tone
| [[52/51|small septendecimal 1/6-tone]]
| Sutho
| Sutho
| 17u3o1
| 17u3o1
Line 848: Line 848:
! [[Cent]]s
! [[Cent]]s
|-
|-
| large undevicesimal semitone
| [[19/18|large undevicesimal semitone]]
| Ino
| Ino
| 19o2
| 19o2
Line 855: Line 855:
| 93.603
| 93.603
|-
|-
| small undevicesimal semitone
| [[20/19|small undevicesimal semitone]]
| Nuyo
| Nuyo
| 19uy1
| 19uy1
Line 869: Line 869:
| 44.97
| 44.97
|-
|-
| noru unison
| [[57/56|hendrix comma]]
| Noru
| Noru
| 19or1
| 19or1

Revision as of 08:55, 17 February 2023

A medium comma is a comma whose size is approximately between 30 and 100 cents. These commas are easily perceptible.

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

See also: Table of 3-limit commas
Name(s) Color Name Ratio Monzo Cents
limma, Pythagorean minor second 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
17-comma Wa-17 ssw3 134217728 / 129140163 [27 -17⟩ 66.765
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
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

See also: Table of 5-limit commas
Name(s) Color Name Ratio Monzo Cents
hogzilla Lala-yoyo LLyy-2 4428675 / 4194304 [-22 11 2⟩ 94.132
pelogic comma, major chroma Layobi Ly1 135 / 128 [-7 3 1⟩ 92.179
sasagu 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
stump 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, 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
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
porcupine comma, maximal diesis 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
augmented comma, diesis Trigu g32 128 / 125 [7 0 -3⟩ 41.059
wizard Lala-quadtriyo LLy12-4 2197265625 / 2147483648 [-31 2 12⟩ 39.675
sycamore comma 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 Twenezogu [-14 0 -29 29⟩ 92.854
47-35-comma Thela-fosezoyo [-241 0 47 47⟩ 91.562
septimal minor semitone Zogu zg2 21 / 20 [-2 1 -1 1⟩ 84.467
39-7/5-comma Thetriruyo [19 0 39 -39⟩ 82.024
laruru negative 2nd Laruru Lrr-2 6561 / 6272 [-7 8 0 -2⟩ 77.988
36-7-comma Quinla-quadtritrizo [-101 0 0 36⟩ 77.733
prograde comma, ed7/4 microdiatonic comma Zozotrigu zzg33 392 / 375 [3 -1 -3 2⟩ 76.756
bapbo Rurugu rrg1 256 / 245 [8 0 -1 -2⟩ 76.034
18-21-comma Quinla-tritribizo [-79 18 0 18⟩ 74.056
15-35-comma Quadsa-quintrirugu [77 0 -15 -15⟩ 72.906
slendro integer cents comma[clarification needed] [1123 0 0 -400⟩ 69.637
47-7-comma Sepsa-foseru [132 0 0 -47⟩ 65.182
33-21-comma Tritrisa-letriru [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 [-15 0 -31 31⟩ 57.878
greenwoodma Ruruyo rry-2 405 / 392 [-3 4 1 -2⟩ 56.482
21-7-comma Trisa-septriru 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 [-200 0 39 39⟩ 50.445
keega Trizogu z3g33 1029 / 1000 [-3 1 -3 3⟩ 49.492
mint comma, septimal 1/4-tone Rugu rg1 36 / 35 [2 2 -1 -1⟩ 48.77
37-7/5-comma Thiseruyo [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
avicennma, 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
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 [-87 0 0 31⟩ 33.603
llywelyn comma Sasepru-agu sr7g-3 4194304 / 4117715 [22 0 -1 -7⟩ 31.905
23-35-comma Sepsa-twetherugu [118 0 -23 -23⟩ 31.789

11-limit commas

Name(s) Color Name Ratio Monzo Cents
11-cycle major seventh prote, 35-11-comma Quinla-sepquinlo [-121 0 0 0 35⟩ 96.128
undecimal minor semitone Loru 1or1 22 / 21 [1 -1 0 -1 1⟩ 80.537
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
undecimal 1/4-tone, al-Farabi's 1/4-tone Ilo 1o1 33 / 32 [-5 1 0 0 1⟩ 53.273
sterno Lotriru 1or3-2 352 / 343 [5 0 0 -3 1⟩ 44.84
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
the 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
Hunt 11-cycle comma Trila-quadtribilo [-83 0 0 0 24⟩ 31.631
undecimal diesis Luzogu 1uzg2 56 / 55 [3 0 -1 1 -1⟩ 31.194

13-limit commas

Name(s) Color Name Ratio Monzo Cents
large tridecimal 1/3-tone Thogugu 3ogg2 26 / 25 [1 0 -2 0 0 1⟩ 67.9
small tridecimal 1/3-tone Thu 3u1 27 / 26 [-1 3 0 0 0 -1⟩ 65.337
tridecimal 1/4-tone, 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
small septendeciml semitone, Arabic lute index finger Su 17u1 18 / 17 [1 2 0 0 0 0 -1⟩ 98.955
12 semitone comma Lala-quadtriso LL17o126 582622237229761 / 562949953421312 [-49 0 0 0 0 0 12⟩ 59.465
large septendecimal 1/4-tone Solu 17o1u2 34 / 33 [1 -1 0 0 -1 0 1⟩ 51.682
small septendecimal 1/4-tone Suzoyo 17uzy1 35 / 34 [-1 0 1 1 0 0 -1⟩ 50.184
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
small septendecimal 1/6-tone Sutho 17u3o1 52 / 51 [2 -1 0 0 0 1 -1⟩ 33.617
Hunt 17-cycle comma [139 0 0 0 0 0 -34⟩ 31.516

19-limit commas

Name(s) Color Name Ratio Monzo Cents
large 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
hendrix comma Noru 19or1 57 / 56 [-3 1 0 -1 0 0 0 1⟩ 30.642
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