Medium comma: Difference between revisions

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==List of commas, by prime limit==
==List of commas, by prime limit==
===Often considered [[3-limit commas]]===
===[[3-limit commas]]===
{| class="wikitable"
!Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Monzo]]
![[Cents]]
|-
| 229-comma
| Wa-229
| w-229
| {{monzo| 363 -229 }}
| 52.305
|-
| 77-comma
| Wa-77
| w-77
| {{monzo| -122 77 }}
| 50.535
|-
| [[29-comma]]
| Wa-29
| w-29
| {{monzo| 46 -29 }}
| 43.305
|-
| 277-comma
| Wa-277
| w-277
| {{monzo| -439 277 }}
| 41.535
|-
| 224-comma
| Wa-224
| w-224
| {{monzo| -355 224 }}
| 37.920
|-
| 135-comma
| Wa-135
| w-135
| {{monzo| 214 -135 }}
| 36.075
|-
| 171-comma
| Wa-171
| w-171
| {{monzo| -271 171 }}
| 34.305
|-
| 118-comma
| Wa-118
| w-118
| {{monzo| -187 118 }}
| 30.690
|}
 
===Often not considered [[3-limit commas]]===
{| class="wikitable"
{| class="wikitable"
!Name(s)
!Name(s)
Line 73: Line 17:
| Sawa
| Sawa
| sw2
| sw2
|[[256/243|256 / 243]]
| [[256/243|256 / 243]]
|{{monzo| 8 -5 }}
| {{monzo| 8 -5 }}
| 90.225
| 90.225
|-
|-
Line 81: Line 25:
| w-301
| w-301
|
|
|{{monzo| -477 301 }}
| {{monzo| -477 301 }}
| 88.455
| 88.455
|-
|-
Line 88: Line 32:
| w-248
| w-248
|
|
|{{monzo| -393 248 }}
| {{monzo| -393 248 }}
| 84.840
| 84.840
|-
|-
Line 95: Line 39:
| w-111
| w-111
|
|
|{{monzo| 176 -111 }}
| {{monzo| 176 -111 }}
| 82.995
| 82.995
|-
|-
Line 102: Line 46:
| w-142
| w-142
|
|
|{{monzo| -225 142 }}
| {{monzo| -225 142 }}
| 77.610
| 77.610
|-
|-
Line 109: Line 53:
| w-217
| w-217
|
|
|{{monzo| 344 -217 }}
| {{monzo| 344 -217 }}
| 75.765
| 75.765
|-
|-
Line 116: Line 60:
| w-89
| w-89
|
|
|{{monzo| -141 89 }}
| {{monzo| -141 89 }}
| 73.995
| 73.995
|-
|-
|[[17-comma]]
| [[17-comma]]
| Wa-17
| Wa-17
| ssw3
| ssw3
| 134217728 / 129140163
| 134217728 / 129140163
|{{monzo| 27 -17 }}
| {{monzo| 27 -17 }}
| 66.765
| 66.765
|-
|-
Line 130: Line 74:
| w-289
| w-289
|
|
|{{monzo| -458 289 }}
| {{monzo| -458 289 }}
| 64.995
| 64.995
|-
|-
Line 137: Line 81:
| w-70
| w-70
|
|
|{{monzo| 111 -70 }}
| {{monzo| 111 -70 }}
| 63.150
| 63.150
|-
|-
Line 144: Line 88:
| w-183
| w-183
|
|
|{{monzo| -290 183 }}
| {{monzo| -290 183 }}
| 57.765
| 57.765
|-
| 176-comma
| Wa-176
| w-176
|
| {{monzo| 279 -176 }}
| 55.920
|-
| 229-comma
| Wa-229
| w-229
|
| {{monzo| 363 -229 }}
| 52.305
|-
| 77-comma
| Wa-77
| w-77
|
| {{monzo| -122 77 }}
| 50.535
|-
| [[29-comma]]
| Wa-29
| w-29
| 70368744177664 / 68630377364883
| {{monzo| 46 -29 }}
| 43.305
|-
| 277-comma
| Wa-277
| w-277
|
| {{monzo| -439 277 }}
| 41.535
|-
| 224-comma
| Wa-224
| w-224
|
| {{monzo| -355 224 }}
| 37.920
|-
| 135-comma
| Wa-135
| w-135
|
| {{monzo| 214 -135 }}
| 36.075
|-
| 171-comma
| Wa-171
| w-171
|
| {{monzo| -271 171 }}
| 34.305
|-
| 118-comma
| Wa-118
| w-118
|
| {{monzo| -187 118 }}
| 30.690
|}
|}


===Often considered [[5-limit commas]]===
===[[5-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
! [[Ratio]]
![[Monzo]]
! [[Monzo]]
![[Cents]]
! [[Cents]]
|-
| hogzilla
| Lala-yoyo
| LLyy-2
| 4428675 / 4194304
| {{monzo| -22 11 2 }}
| 94.132
|-
| major chroma, pelogic comma
| Layobi
| Ly1
| [[135/128|135 / 128]]
| {{monzo| -7 3 1 }}
| 92.179
|-
| sasagu
| Sasagu
| ssg3
| 8388608 / 7971615
| {{monzo| 23 -13 -1 }}
| 88.271
|-
| bohpier, [[13edt]] comma
| Satheyo
| sy<sup>13</sup>-2
| 1220703125 / 1162261467
| {{monzo| 0 -19 13 }}
| 84.933
|-
| ripple
| Quingu
| g<sup>5</sup>2
| 6561 / 6250
| {{monzo| -1 8 -5 }}
| 84.071
|-
| doublewide
| Quadbiyo
| y<sup>8</sup>-2
| 390625 / 373248
| {{monzo| -9 -6 8 }}
| 78.78
|-
| sevond
| Sasepyo
| sy<sup>7</sup>1
| 5000000 / 4782969
| {{monzo| 6 -14 7 }}
| 76.826
|-
| nusecond
| Legu
| g<sup>11</sup>3
| 51018336 / 48828125
| {{monzo| 5 13 -11 }}
| 75.964
|-
| sentinel
| Trila-quadyo
| L<sup>3</sup>y<sup>4</sup>-3
| 8968066875 / 8589934592
| {{monzo| -33 15 4 }}
| 74.580
|-
| stump
| Latriyo
| Ly<sup>3</sup>-2
| 273375 / 262144
| {{monzo| -18 7 3 }}
| 72.626
|-
| classic chromatic semitone
| Yoyo
| yy1
| [[25/24|25 / 24]]
| {{monzo| -3 -1 2 }}
| 70.672
|-
| superpyth, grave minor second
| Sayo
| sy2
| 20480 / 19683
| {{monzo| 12 -9 1 }}
| 68.719
|-
| major diesis, [[648/625|diminished comma]]
| Quadgu
| g<sup>4</sup>2
| [[648/625|648 / 625]]
| {{monzo| 3 4 -4 }}
| 62.565
|-
| passion
| Saquingu
| sg<sup>5</sup>3
| 262144 / 253125
| {{monzo| 18 -4 -5 }}
| 60.611
|-
| shibboleth
| Tritriyo
| y<sup>9</sup>-2
| 1953125 / 1889568
| {{monzo| -5 -10 9 }}
| 57.273
|-
|-
| mynic
| mynic
| Quinbigu
| Quinbigu
| g<sup>10</sup>3
| g<sup>10</sup>3
|  
| 10077696 / 9765625
|{{monzo| 9 9 -10 }}
| {{monzo| 9 9 -10 }}
| 54.458
| 54.458
|-
|-
Line 167: Line 279:
| LLy<sup>5</sup>-3
| LLy<sup>5</sup>-3
| 553584375 / 536870912
| 553584375 / 536870912
|{{monzo| -29 11 5 }}
| {{monzo| -29 11 5 }}
| 53.074
| 53.074
|-
|-
|[[negri comma]], double augmentation diesis
| [[negri comma]], double augmentation diesis
| Laquadyo
| Laquadyo
| Ly<sup>4</sup>-2
| Ly<sup>4</sup>-2
| 16875 / 16384
| 16875 / 16384
|{{monzo| -14 3 4 }}
| {{monzo| -14 3 4 }}
| 51.120
| 51.120
|-
|-
Line 180: Line 292:
| Triyo
| Triyo
| y<sup>3</sup>1
| y<sup>3</sup>1
|[[250/243|250 / 243]]
| [[250/243|250 / 243]]
|{{monzo| 1 -5 3 }}
| {{monzo| 1 -5 3 }}
| 49.166
| 49.166
|-
|-
Line 187: Line 299:
| Laquintrigu
| Laquintrigu
| Lg<sup>15</sup>3
| Lg<sup>15</sup>3
|  
| 31381059609 / 30517578125
|{{monzo| 0 22 -15 }}
| {{monzo| 0 22 -15 }}
| 48.304
| 48.304
|-
|-
Line 194: Line 306:
| Sasa-yoyo
| Sasa-yoyo
| ssyy2
| ssyy2
|  
| 1638400 / 1594323
|{{monzo| 16 -13 2 }}
| {{monzo| 16 -13 2 }}
| 47.212
| 47.212
|-
|-
Line 201: Line 313:
| Lalagu
| Lalagu
| LLg-2
| LLg-2
|  
| 43046721 / 41943040
|{{monzo| -23 16 -1 }}
| {{monzo| -23 16 -1 }}
| 44.966
| 44.966
|-
|-
Line 208: Line 320:
| Trigu
| Trigu
| g<sup>3</sup>2
| g<sup>3</sup>2
|[[128/125|128 / 125]]
| [[128/125|128 / 125]]
|{{monzo| 7 0 -3 }}
| {{monzo| 7 0 -3 }}
| 41.059
| 41.059
|-
|-
Line 215: Line 327:
| Lala-quadtriyo
| Lala-quadtriyo
| LLy<sup>12</sup>-4
| LLy<sup>12</sup>-4
|  
| 2197265625 / 2147483648
|{{monzo| -31 2 12 }}
| {{monzo| -31 2 12 }}
| 39.675
| 39.675
|-
|-
|[[sycamore]]
| [[sycamore]]
| Laleyo
| Laleyo
| Ly<sup>11</sup>-3
| Ly<sup>11</sup>-3
|  
| 48828125 / 47775744
|{{monzo| -16 -6 11 }}
| {{monzo| -16 -6 11 }}
| 37.721
| 37.721
|-
|-
Line 229: Line 341:
| Lala-sepgu
| Lala-sepgu
| LLg<sup>7</sup>1
| LLg<sup>7</sup>1
|  
| 10460353203 / 10240000000
|{{monzo| -17 21 -7 }}
| {{monzo| -17 21 -7 }}
| 36.859
| 36.859
|-
|-
Line 236: Line 348:
| Saquinbiyo
| Saquinbiyo
| sy<sup>10</sup>-2
| sy<sup>10</sup>-2
|  
| 9765625 / 9565938
|{{monzo| -1 -14 10 }}
| {{monzo| -1 -14 10 }}
| 35.767
| 35.767
|-
|-
Line 243: Line 355:
| Laquadbigu
| Laquadbigu
| Lg<sup>8</sup>2
| Lg<sup>8</sup>2
|  
| 1594323 / 1562500
|{{monzo| -2 13 -8 }}
| {{monzo| -2 13 -8 }}
| 34.905
| 34.905
|-
|-
Line 250: Line 362:
| Satritrigu
| Satritrigu
| sg<sup>9</sup>3
| sg<sup>9</sup>3
|  
| 1990656 / 1953125
|{{monzo| 13 5 -9 }}
| {{monzo| 13 5 -9 }}
| 32.952
| 32.952
|-
|-
|[[ampersand]], Ampersand's comma
| [[ampersand]], Ampersand's comma
| Lala-tribiyo
| Lala-tribiyo
| LLy<sup>6</sup>-3
| LLy<sup>6</sup>-3
|  
| 34171875 / 33554432
|{{monzo| -25 7 6 }}
| {{monzo| -25 7 6 }}
| 31.567
| 31.567
|-
|-
Line 265: Line 377:
| ssg<sup>10</sup>4
| ssg<sup>10</sup>4
| 268435456 / 263671875
| 268435456 / 263671875
|{{monzo| 28 -3 -10 }}
| {{monzo| 28 -3 -10 }}
| 30.998
| 30.998
|}
|}


=== Often not considered [[5-limit commas]] ===
===[[7-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
! [[Ratio]]
![[Monzo]]
! [[Monzo]]
![[Cents]]
! [[Cents]]
|-
| hexadecatone comma, 16-7-comma
| Sasa-quadquadrubi
| ssr<sup>16</sup>-6
| 35184372088832 / 33232930569601
| {{monzo| 45 0 0 -16 }}
| 98.785
|-
|-
| hogzilla
| 29-7/5-comma
| Lala-yoyo
| Twenezogu
| LLyy-2
|
|  
|
|{{monzo| -22 11 2 }}
| {{monzo| -14 0 -29 29 }}
| 94.132
| 92.854
|-
|-
| major chroma, pelogic comma
| 47-35-comma
| Layobi
| Thela-fosezoyo
| Ly1
|
|[[135/128|135 / 128]]
|
|{{monzo| -7 3 1 }}
| {{monzo| -241 0 47 47 }}
| 92.179
| 91.562
|-
|-
| sasagu
| septimal minor semitone
| Sasagu
| Zogu
| ssg3
| zg2
|  
| 21 / 20
|{{monzo| 23 -13 -1 }}
| {{monzo| -2 1 -1 1 }}
| 88.271
| 84.467
|-
|-
| bohpier, [[13edt]] comma
| 39-7/5-comma
| Satheyo
| Thetriruyo
| sy<sup>13</sup>-2
|
|  
|
|{{monzo| 0 -19 13 }}
| {{monzo| 19 0 39 -39 }}
| 84.933
| 82.024
|-
|-
| ripple
| laruru negative 2nd
| Quingu
| Laruru
| g<sup>5</sup>2
| Lrr-2
| 6561 / 6250
| 6561 / 6272
|{{monzo| -1 8 -5 }}
| {{monzo| -7 8 0 -2 }}
| 84.071
| 77.988
|-
|-
| doublewide
| 36-7-comma
| Quadbiyo
| Quinla-quadtritrizo
| y<sup>8</sup>-2
|
|  
|
|{{monzo| -9 -6 8 }}
| {{monzo| -101 0 0 36 }}
| 78.78
| 77.733
|-
|-
| sevond
| [[Ed7/4|ED7/4]] microdiatonic comma
| Sasepyo
| Zozotrigu
| sy<sup>7</sup>1
| zzg<sup>3</sup>3
|  
| [[392/375|392 / 375]]
|{{monzo| 6 -14 7 }}
| {{monzo| 3 -1 -3 2 }}
| 76.826
| 76.756
|-
|-
| nusecond
| bapbo
| Legu
| Rurugu
| g<sup>11</sup>3
| rrg1
|  
| 256 / 245
|{{monzo| 5 13 -11 }}
| {{monzo| 8 0 -1 -2 }}
| 75.964
| 76.034
|-
|-
| sentinel
| 18-21-comma
| Trila-quadyo
| Quinla-tritribizo
| L<sup>3</sup>y<sup>4</sup>-3
|
|  
|
|{{monzo| -33 15 4 }}
| {{monzo| -79 18 0 18 }}
| 74.580
| 74.056
|-
|-
| stump
| 15-35-comma
| Latriyo
| Quadsa-quintrirugu
| Ly<sup>3</sup>-2
|
|  
|
|{{monzo| -18 7 3 }}
| {{monzo| 77 0 -15 -15 }}
| 72.626
| 72.906
|-
|-
| classic chromatic semitone
| <strike>slendro integer cents comma</strike>
| Yoyo
|
| yy1
|
|[[25/24|25 / 24]]
|
|{{monzo| -3 -1 2 }}
| {{monzo| 1123 0 0 -400 }}
| 70.672
| 69.637
|-
|-
| superpyth, grave minor second
| 47-7-comma
| Sayo
| Sepsa-foseru
| sy2
|
| 20480 / 19683
|
|{{monzo| 12 -9 1 }}
| {{monzo| 132 0 0 -47 }}
| 68.719
| 65.182
|-
|-
| major diesis, [[648/625|diminished comma]]
| 33-21-comma
| Quadgu
| Tritrisa-letriru
| g<sup>4</sup>2
|
|[[648/625|648 / 625]]
|
|{{monzo| 3 4 -4 }}
| {{monzo| 145 -33 0 -33 }}
| 62.565
| 64.23
|-
|-
| passion
| Archytas' 1/3-tone
| Saquingu
| Zo
| sg<sup>5</sup>3
| z2
|  
| 28 / 27
|{{monzo| 18 -4 -5 }}
| {{monzo| 2 -3 0 1 }}
| 60.611
| 62.961
|-
|-
| shibboleth
| 31-7/5-comma
| Tritriyo
| Thiwezogu
| y<sup>9</sup>-2
|
|  
|
|{{monzo| -5 -10 9 }}
| {{monzo| -15 0 -31 31 }}
| 57.273
| 57.878
|}
 
===Often considered [[7-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
![[Monzo]]
![[Cents]]
|-
|-
| greenwoodma
| greenwoodma
Line 395: Line 505:
| rry-2
| rry-2
| 405 / 392
| 405 / 392
|{{monzo| -3 4 1 -2 }}
| {{monzo| -3 4 1 -2 }}
| 56.482
| 56.482
|-
|-
Line 402: Line 512:
|
|
| 576460752303423488 / 558545864083284007
| 576460752303423488 / 558545864083284007
|{{monzo| 59 0 0 -21 }}
| {{monzo| 59 0 0 -21 }}
| 54.656
| 54.656
|-
|-
Line 408: Line 518:
| Laru
| Laru
| Lr-2
| Lr-2
|[[59049/57344|59049 / 57344]]
| [[59049/57344|59049 / 57344]]
|{{monzo| -13 10 0 -1 }}
| {{monzo| -13 10 0 -1 }}
| 50.724
| 50.724
|-
|-
Line 416: Line 526:
|
|
|
|
|{{monzo| -200 0 39 39 }}
| {{monzo| -200 0 39 39 }}
| 50.445
| 50.445
|-
|-
Line 423: Line 533:
| z<sup>3</sup>g<sup>3</sup>3
| z<sup>3</sup>g<sup>3</sup>3
| 1029 / 1000
| 1029 / 1000
|{{monzo| -3 1 -3 3 }}
| {{monzo| -3 1 -3 3 }}
| 49.492
| 49.492
|-
|-
Line 429: Line 539:
| Rugu
| Rugu
| rg1
| rg1
|[[36/35|36 / 35]]
| [[36/35|36 / 35]]
|{{monzo| 2 2 -1 -1 }}
| {{monzo| 2 2 -1 -1 }}
| 48.77
| 48.77
|-
|-
Line 437: Line 547:
|
|
|
|
|{{monzo| 18 0 37 -37 }}
| {{monzo| 18 0 37 -37 }}
| 47.049
| 47.049
|-
|-
Line 443: Line 553:
| Saquinru
| Saquinru
| sr<sup>5</sup>-2
| sr<sup>5</sup>-2
|  
| 4194304 / 4084101
|{{monzo| 22 -5 0 -5 }}
| {{monzo| 22 -5 0 -5 }}
| 46.095
| 46.095
|-
|-
Line 451: Line 561:
| Lz<sup>5</sup>3
| Lz<sup>5</sup>3
| 16807 / 16384
| 16807 / 16384
|{{monzo| -14 0 0 5 }}
| {{monzo| -14 0 0 5 }}
| 44.13
| 44.13
|-
|-
Line 458: Line 568:
| Lzyy1
| Lzyy1
| 525 / 512
| 525 / 512
|{{monzo| -9 1 2 1 }}
| {{monzo| -9 1 2 1 }}
| 43.408
| 43.408
|-
|-
Line 464: Line 574:
| Lala-quadbizoyo
| Lala-quadbizoyo
| LLz<sup>8</sup>y<sup>8</sup>2
| LLz<sup>8</sup>y<sup>8</sup>2
|  
| 2251875390625 / 2199023255552
|{{monzo| -41 0 8 8 }}
| {{monzo| -41 0 8 8 }}
| 41.117
| 41.117
|-
|-
|[[Mabilismic clan|mabilisma]]
| [[Mabilismic clan|mabilisma]]
| Latrizo-aquinyo
| Latrizo-aquinyo
| Lz<sup>3</sup>y<sup>5</sup>1
| Lz<sup>3</sup>y<sup>5</sup>1
|  
| 1071875 / 1048576
|{{monzo| -20 0 5 3 }}
| {{monzo| -20 0 5 3 }}
| 38.046
| 38.046
|-
|-
Line 478: Line 588:
| Zozo
| Zozo
| zz2
| zz2
|[[49/48|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 clan|Arcturus comma]]
| Larutribiyo
| Larutribiyo
| Lry<sup>6</sup>-2
| Lry<sup>6</sup>-2
| 15625 / 15309
| 15625 / 15309
|{{monzo| 0 -7 6 -1 }}
| {{monzo| 0 -7 6 -1 }}
| 35.371
| 35.371
|-
|-
Line 492: Line 602:
| Biruyo
| Biruyo
| rryy-2
| rryy-2
|[[50/49|50 / 49]]
| [[50/49|50 / 49]]
|{{monzo| 1 0 2 -2 }}
| {{monzo| 1 0 2 -2 }}
| 34.976
| 34.976
|-
|-
Line 499: Line 609:
| Sepru
| Sepru
| r<sup>7</sup>-4
| r<sup>7</sup>-4
|  
| 839808 / 823543
|{{monzo| 7 8 0 -7 }}
| {{monzo| 7 8 0 -7 }}
| 33.859
| 33.859
|-
|-
Line 507: Line 617:
|
|
|
|
|{{monzo| -87 0 0 31 }}
| {{monzo| -87 0 0 31 }}
| 33.603
| 33.603
|-
|-
|[[Llywelyn clan|llywelyn comma]]
| [[Llywelyn clan|llywelyn comma]]
| Sasepru-agu
| Sasepru-agu
| sr<sup>7</sup>g-3
| sr<sup>7</sup>g-3
|[[4194304/4117715|4194304 / 4117715]]
| [[4194304/4117715|4194304 / 4117715]]
|{{monzo| 22 0 -1 -7 }}
| {{monzo| 22 0 -1 -7 }}
| 31.905
| 31.905
|-
|-
Line 521: Line 631:
|
|
|
|
|{{monzo| 118 0 -23 -23 }}
| {{monzo| 118 0 -23 -23 }}
| 31.789
| 31.789
|}
|}


===Often not considered [[7-limit commas]]===
===[[11-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
! Ratio
![[Monzo]]
! Monzo
![[Cents]]
! Cents
|-
|-
| hexadecatone comma, 16-7-comma
| 11-cycle major seventh prote, 35-11-comma
| Sasa-quadquadrubi
| Quinla-sepquinlo
| ssr<sup>16</sup>-6
|  
|  
|  
|{{monzo| 45 0 0 -16 }}
| {{monzo| -121 0 0 0 35 }}
| 98.785
| 96.128
|-
|-
| 29-7/5-comma
| undecimal minor semitone
| Twenezogu
| Loru
|
| 1or1
|
| 22 / 21
|{{monzo| -14 0 -29 29 }}
| {{monzo| 1 -1 0 -1 1 }}
| 92.854
| 80.537
|-
|-
| 47-35-comma
| 11-cycle chroma, 11-11-comma
| Thela-fosezoyo
| Lala-lelo
|
| LL1o<sup>11</sup>-3
|
| 285311670611 / 274877906944
|{{monzo| -241 0 47 47 }}
| {{monzo| -38 0 0 0 11 }}
| 91.562
| 64.497
|-
|-
| septimal minor semitone
| lalu unison
| Zogu
| Lalu
| zg2
| L1u1
| 21 / 20
| 729 / 704
|{{monzo| -2 1 -1 1 }}
| {{monzo| -6 6 0 0 -1 }}
| 84.467
| 60.412
|-
| 39-7/5-comma
| Thetriruyo
|
|
|{{monzo| 19 0 39 -39 }}
| 82.024
|-
| laruru negative 2nd
| Laruru
| Lrr-2
| 6561 / 6272
|{{monzo| -7 8 0 -2 }}
| 77.988
|-
| 36-7-comma
| Quinla-quadtritrizo
|
|
|{{monzo| -101 0 0 36 }}
| 77.733
|-
|[[Ed7/4|ED7/4]] microdiatonic comma
| Zozotrigu
| zzg<sup>3</sup>3
|[[392/375|392 / 375]]
|{{monzo| 3 -1 -3 2 }}
| 76.756
|-
| bapbo
| Rurugu
| rrg1
| 256 / 245
|{{monzo| 8 0 -1 -2 }}
| 76.034
|-
| 18-21-comma
| Quinla-tritribizo
|
|
|{{monzo| -79 18 0 18 }}
| 74.056
|-
| 15-35-comma
| Quadsa-quintrirugu
|
|
|{{monzo| 77 0 -15 -15 }}
| 72.906
|-
|<strike>slendro integer cents comma</strike>
|
|
|
|{{monzo| 1123 0 0 -400 }}
| 69.637
|-
| 47-7-comma
| Sepsa-foseru
|
|
|{{monzo| 132 0 0 -47 }}
| 65.182
|-
| 33-21-comma
| Tritrisa-letriru
|
|
|{{monzo| 145 -33 0 -33 }}
| 64.23
|-
| Archytas' 1/3-tone
| Zo
| z2
| 28 / 27
|{{monzo| 2 -3 0 1 }}
| 62.961
|-
| 31-7/5-comma
| Thiwezogu
|
|
|{{monzo| -15 0 -31 31 }}
| 57.878
|}
 
===Often considered [[11-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
|-
|-
| undecimal 1/4-tone, al-Farabi's 1/4-tone
| undecimal 1/4-tone, al-Farabi's 1/4-tone
Line 658: Line 675:
| 1o1
| 1o1
| 33 / 32
| 33 / 32
|{{monzo| -5 1 0 0 1 }}
| {{monzo| -5 1 0 0 1 }}
| 53.273
| 53.273
|-
|-
Line 665: Line 682:
| 1or<sup>3</sup>-2
| 1or<sup>3</sup>-2
| 352 / 343
| 352 / 343
|{{monzo| 5 0 0 -3 1 }}
| {{monzo| 5 0 0 -3 1 }}
| 44.84
| 44.84
|-
|-
Line 672: Line 689:
| 1uy1
| 1uy1
| 45 / 44
| 45 / 44
|{{monzo| -2 2 1 0 -1 }}
| {{monzo| -2 2 1 0 -1 }}
| 38.906
| 38.906
|-
|-
Line 679: Line 696:
| s1u2
| s1u2
| 8192 / 8019
| 8192 / 8019
|{{monzo| 13 -6 0 0 -1 }}
| {{monzo| 13 -6 0 0 -1 }}
| 36.952
| 36.952
|-
|-
Line 685: Line 702:
| Sasa-thelu
| Sasa-thelu
| ss1u<sup>13</sup>4
| ss1u<sup>13</sup>4
|  
| 35184372088832 / 34522712143931
|{{monzo| 45 0 0 0 -13 }}
| {{monzo| 45 0 0 0 -13 }}
| 32.867
| 32.867
|-
|-
Line 693: Line 710:
| 1oy1
| 1oy1
| 55 / 54
| 55 / 54
|{{monzo| -1 -3 1 0 1 }}
| {{monzo| -1 -3 1 0 1 }}
| 31.767
| 31.767
|-
|-
Line 700: Line 717:
|  
|  
|  
|  
|{{monzo| -83 0 0 0 24 }}
| {{monzo| -83 0 0 0 24 }}
| 31.631
| 31.631
|-
|-
Line 707: Line 724:
| 1uzg2
| 1uzg2
| 56 / 55
| 56 / 55
|{{monzo| 3 0 -1 1 -1 }}
| {{monzo| 3 0 -1 1 -1 }}
| 31.194
| 31.194
|}
|}


===Often not considered [[11-limit commas]]===
===[[13-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 719: Line 736:
! Cents
! Cents
|-
|-
| 11-cycle major seventh prote, 35-11-comma
| large tridecimal 1/3-tone
| Quinla-sepquinlo
| Thogugu
|  
| 3ogg2
|  
| [[26/25|26 / 25]]
|{{monzo| -121 0 0 0 35 }}
| {{monzo| 1 0 -2 0 0 1 }}
| 96.128
| 67.9
|-
|-
| undecimal minor semitone
| small tridecimal 1/3-tone
| Loru
| Thu
| 1or1
| 3u1
| 22 / 21
| [[27/26|27 / 26]]
|{{monzo| 1 -1 0 -1 1 }}
| {{monzo| -1 3 0 0 0 -1 }}
| 80.537
| 65.337
|-
| 11-cycle chroma, 11-11-comma
| Lala-lelo
| LL1o<sup>11</sup>-3
|
|{{monzo| -38 0 0 0 11 }}
| 64.497
|-
| lalu unison
| Lalu
| L1u1
| 729 / 704
|{{monzo| -6 6 0 0 -1 }}
| 60.412
|}
 
===Often considered [[13-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
|-
|-
| tridecimal 1/4-tone, Hunt minor submediant comma
| tridecimal 1/4-tone, Hunt minor submediant comma
| Latho
| Latho
| L3o1
| L3o1
|[[1053/1024|1053 / 1024]]
| [[1053/1024|1053 / 1024]]
|{{monzo| -10 4 0 0 0 1 }}
| {{monzo| -10 4 0 0 0 1 }}
| 48.348
| 48.348
|-
|-
Line 767: Line 761:
| 3uy1
| 3uy1
| 40 / 39
| 40 / 39
|{{monzo| 3 -1 1 0 0 -1 }}
| {{monzo| 3 -1 1 0 0 -1 }}
| 43.831
| 43.831
|-
|-
Line 773: Line 767:
| Latribitho
| Latribitho
| L3o<sup>6</sup>2
| L3o<sup>6</sup>2
|  
| 4826809 / 4718592
|{{monzo| -19 -2 0 0 0 6 }}
| {{monzo| -19 -2 0 0 0 6 }}
| 39.256
| 39.256
|}
|}
===Often not considered [[13-limit commas]]===
===[[17-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 785: Line 779:
! Cents
! Cents
|-
|-
| large tridecimal 1/3-tone
| small septendeciml semitone, Arabic lute index finger
| Thogugu
| Su
| 3ogg2
| 17u1
|[[26/25|26 / 25]]
| 18 / 17
|{{monzo| 1 0 -2 0 0 1 }}
| {{monzo| 1 2 0 0 0 0 -1 }}
| 67.9
| 98.955
|-
|-
| small tridecimal 1/3-tone
| 12 semitone comma
| Thu
| Lala-quadtriso
| 3u1
| LL17o<sup>12</sup>6
|[[27/26|27 / 26]]
| 582622237229761 / 562949953421312
|{{monzo| -1 3 0 0 0 -1 }}
| {{monzo| -49 0 0 0 0 0 12 }}
| 65.337
| 59.465
|}
===Often considered [[17-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
|-
|-
| large septendecimal 1/4-tone
| large septendecimal 1/4-tone
Line 811: Line 797:
| 17o1u2
| 17o1u2
| 34 / 33
| 34 / 33
|{{monzo| 1 -1 0 0 -1 0 1 }}
| {{monzo| 1 -1 0 0 -1 0 1 }}
| 51.682
| 51.682
|-
|-
Line 818: Line 804:
| 17uzy1
| 17uzy1
| 35 / 34
| 35 / 34
|{{monzo| -1 0 1 1 0 0 -1 }}
| {{monzo| -1 0 1 1 0 0 -1 }}
| 50.184
| 50.184
|-
|-
Line 824: Line 810:
| Sasa-lesu
| Sasa-lesu
| ss17u<sup>11</sup>-5
| ss17u<sup>11</sup>-5
|  
| 35184372088832 / 34271896307633
|{{monzo| 45 0 0 0 0 0 -11 }}
| {{monzo| 45 0 0 0 0 0 -11 }}
| 45.49
| 45.49
|-
|-
Line 832: Line 818:
| 17ogg2
| 17ogg2
| 51 / 50
| 51 / 50
|{{monzo| -1 1 -2 0 0 0 1 }}
| {{monzo| -1 1 -2 0 0 0 1 }}
| 34.283
| 34.283
|-
|-
Line 839: Line 825:
| 17u3o1
| 17u3o1
| 52 / 51
| 52 / 51
|{{monzo| 2 -1 0 0 0 1 -1 }}
| {{monzo| 2 -1 0 0 0 1 -1 }}
| 33.617
| 33.617
|-
|-
Line 846: Line 832:
|
|
|
|
|{{monzo| 139 0 0 0 0 0 -34 }}
| {{monzo| 139 0 0 0 0 0 -34 }}
| 31.516
| 31.516
|}
|}


===Often not considered [[17-limit commas]]===
===[[19-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 858: Line 844:
! Cents
! Cents
|-
|-
| small septendeciml semitone, Arabic lute index finger
| large undevicesimal semitone
| Su
| Ino
| 17u1
| 19o2
| 18 / 17
| 19 / 18
|{{monzo| 1 2 0 0 0 0 -1 }}
| {{monzo| -1 -2 0 0 0 0 0 1 }}
| 98.955
| 93.603
|-
|-
| 12 semitone comma
| small undevicesimal semitone
| Lala-quadtriso
| Nuyo
| LL17o<sup>12</sup>6
| 19uy1
|  
| 20 / 19
|{{monzo| -49 0 0 0 0 0 12 }}
| {{monzo| 2 0 1 0 0 0 0 -1 }}
| 59.465
| 88.801
|}
 
===Often considered [[19-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
|-
|-
| nutho unison
| nutho unison
Line 885: Line 862:
| 19u3o1
| 19u3o1
| 39 / 38
| 39 / 38
|{{monzo| -1 1 0 0 0 1 0 -1 }}
| {{monzo| -1 1 0 0 0 1 0 -1 }}
| 44.97
| 44.97
|-
|-
Line 892: Line 869:
| 19or1
| 19or1
| 57 / 56
| 57 / 56
|{{monzo| -3 1 0 -1 0 0 0 1 }}
| {{monzo| -3 1 0 -1 0 0 0 1 }}
| 30.642
| 30.642
|}
[[Category:Commas]]
[[Category:Medium commas| ]]
===Often not considered [[19-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
|-
| large undevicesimal semitone
| Ino
| 19o2
| 19 / 18
|{{monzo| -1 -2 0 0 0 0 0 1 }}
| 93.603
|-
| small undevicesimal semitone
| Nuyo
| 19uy1
| 20 / 19
|{{monzo| 2 0 1 0 0 0 0 -1 }}
| 88.801
|}
|}



Revision as of 08:25, 19 January 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

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

Name(s) Color Name Ratio Monzo Cents
hogzilla Lala-yoyo LLyy-2 4428675 / 4194304 [-22 11 2 94.132
major chroma, pelogic comma 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
classic 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
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
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 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
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 [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
Archytas' 1/3-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
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
lalu unison 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
noru unison Noru 19or1 57 / 56 [-3 1 0 -1 0 0 0 1 30.642