Medium comma: Difference between revisions

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Line 38: Line 38:
|
|
|{{Monzo| 111 -70 }}
|{{Monzo| 111 -70 }}
|63.150
|63.15
|-
|-
|77-comma
|77-comma
Line 95: Line 95:
|390625 / 373248
|390625 / 373248
|{{Monzo| -9 -6 8 }}
|{{Monzo| -9 -6 8 }}
|78.780
|78.78
|-
|-
|sevond
|sevond
Line 334: Line 334:
|[[36/35|36 / 35]]
|[[36/35|36 / 35]]
|{{Monzo| 2 2 -1 -1 }}
|{{Monzo| 2 2 -1 -1 }}
|48.770
|48.77
|-
|-
|5-21-comma
|5-21-comma
Line 348: Line 348:
|16807 / 16384
|16807 / 16384
|{{Monzo| -14 0 0 5 }}
|{{Monzo| -14 0 0 5 }}
|44.130
|44.13
|-
|-
|Avicenna, Avicenna's enharmonic diesis
|Avicenna, Avicenna's enharmonic diesis
Line 446: Line 446:
|
|
|{{Monzo| 145 -33 0 -33 }}
|{{Monzo| 145 -33 0 -33 }}
|64.230
|64.23
|-
|-
|36-7-comma
|36-7-comma
Line 505: Line 505:
!Monzo
!Monzo
!Cents
!Cents
|-
|11-cycle major seventh prote, 35-11-comma
|
|
|
|{{Monzo| -121 0 0 0 35 }}
|96.128
|-
|-
|undecimal minor semitone
|undecimal minor semitone
Line 539: Line 546:
|352 / 343
|352 / 343
|{{Monzo| 5 0 0 -3 1 }}
|{{Monzo| 5 0 0 -3 1 }}
|44.840
|44.84
|-
|-
|1/5-tone
|1/5-tone
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|{{Monzo| -83 0 0 0 24 }}
|{{Monzo| -83 0 0 0 24 }}
|31.631
|31.631
|-
|11-cycle major seventh prote, 35-11-comma
|
|
|
|{{Monzo| -121 0 0 0 35 }}
|96.128
|}
|}
===13-limit commas===
===13-limit commas===
Line 604: Line 604:
|{{Monzo| -1 3 0 0 0 -1 }}
|{{Monzo| -1 3 0 0 0 -1 }}
|65.337
|65.337
|-
|<strike>silver half cents comma</strike>
|
|
|
|{{Monzo| -8881 0 0 0 0 2400 }}
|66.388
|-
|-
|tridecimal 1/3-tone
|tridecimal 1/3-tone
Line 610: Line 617:
|26 / 25
|26 / 25
|{{Monzo| 1 0 -2 0 0 1 }}
|{{Monzo| 1 0 -2 0 0 1 }}
|67.900
|67.9
|-
|-
|Hunt minor submediant comma
|Hunt minor submediant comma
Line 632: Line 639:
|{{Monzo| -19 -2 0 0 0 6 }}
|{{Monzo| -19 -2 0 0 0 6 }}
|39.256
|39.256
|-
|<strike>silver half cents comma</strike>
|
|
|
|{{Monzo| -8881 0 0 0 0 2400 }}
|66.388
|}
|}
===17-limit commas===
===17-limit commas===
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|35184372088832 / 34271896307633
|35184372088832 / 34271896307633
|{{Monzo| 45 0 0 0 0 0 -11 }}
|{{Monzo| 45 0 0 0 0 0 -11 }}
|45.490
|45.49
|-
|-
|12 semitone comma
|12 semitone comma

Revision as of 21:28, 9 April 2019

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 s4w4 70368744177664 / 68630377364883 [46 -29⟩ 43.305
70-comma wa-70 comma s10w8 [111 -70⟩ 63.15
77-comma wa-77 comma L11w-8 [-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
minor semitone Zogu zg2 21 / 20 [-2 1 -1 1⟩ 84.467
laruru negative 2nd Laruru Lrr-2 6561 / 6272 [-7 8 0 -2⟩ 77.988
bapbo Rurugu rrg1 256 / 245 [8 0 -1 -2⟩ 76.034
Archytas' 1/3-tone Zo z2 28 / 27 [2 -3 0 1⟩ 62.961
greenwoodma Ruruyo rry-2 405 / 392 [-3 4 1 -2⟩ 56.482
Harrison's comma Laru Lr-2 59049 / 57344 [-13 10 0 -1⟩ 50.724
keega Trizogu z3g33 1029 / 1000 [-3 1 -3 3⟩ 49.492
septimal quarter tone Rugu rg1 36 / 35 [2 2 -1 -1⟩ 48.77
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
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
8-35-comma Lala-quadbizoyo LLz8y82 2251875390625 / 2199023255552 [-41 0 8 8⟩ 41.117
15-35-comma [77 0 -15 -15⟩ 72.906
hexadecatone comma, 16-7-comma Sasa-quadquadrubi ssr16-6 35184372088832 / 33232930569601 [45 0 0 -16⟩ 98.785
18-21-comma [-79 18 0 18⟩ 74.056
21-7-comma 576460752303423488 / 558545864083284007 [59 0 0 -21⟩ 54.656
23-35-comma [118 0 -23 -23⟩ 31.789
29-7/5-comma [-14 0 -29 29⟩ 92.854
German sixth comma [-87 0 0 31⟩ 33.603
31-7/5-comma [-15 0 -31 31⟩ 57.878
33-21-comma [145 -33 0 -33⟩ 64.23
36-7-comma [-101 0 0 36⟩ 77.733
37-7/5-comma [18 0 37 -37⟩ 47.049
39-7/5-comma [19 0 39 -39⟩ 82.024
39-35-comma [-200 0 39 39⟩ 50.445
47-7-comma [132 0 0 -47⟩ 65.182
47-35-comma [-241 0 47 47⟩ 91.562
slendro integer cents comma [1123 0 0 -400⟩ 69.637

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
silver half cents comma [-8881 0 0 0 0 2400⟩ 66.388
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 35184372088832 / 34271896307633 [45 0 0 0 0 0 -11⟩ 45.49
12 semitone comma 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⟩ 44.970
noru unison Noru 19or1 57 / 56 [-3 1 0 -1 0 0 0 1⟩ 30.642
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