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==List of commas, by prime limit==
==List of commas, by prime limit==
===[[3-limit commas]]===
===Often considered [[3-limit commas]]===
{| class="wikitable"
{| class="wikitable"
!Name(s)
!Name(s)
Line 13: Line 13:
![[Monzo]]
![[Monzo]]
![[Cents]]
![[Cents]]
|-
| limma, Pythagorean minor second
| Sawa
| sw2
| [[256/243|256 / 243]]
| {{monzo| 8 -5 }}
| 90.225
|-
| 301-comma
| Wa-301
| w-301
|
| {{monzo| -477 301 }}
| 88.455
|-
| 248-comma
| Wa-248
| w-248
|
| {{monzo| -393 248 }}
| 84.840
|-
| 111-comma
| Wa-111
| w-111
|
| {{monzo| 176 -111 }}
| 82.995
|-
| 142-comma
| Wa-142
| w-142
|
| {{monzo| -225 142 }}
| 77.610
|-
| 217-comma
| Wa-217
| w-217
|
| {{monzo| 344 -217 }}
| 75.765
|-
| 89-comma
| Wa-89
| w-89
|
| {{monzo| -141 89 }}
| 73.995
|-
| [[17-comma]]
| Wa-17
| ssw3
| 134217728 / 129140163
| {{monzo| 27 -17 }}
| 66.765
|-
| 289-comma
| Wa-289
| w-289
|
| {{monzo| -458 289 }}
| 64.995
|-
| 70-comma
| Wa-70
| w-70
|
| {{monzo| 111 -70 }}
| 63.150
|-
| 183-comma
| Wa-183
| w-183
|
| {{monzo| -290 183 }}
| 57.765
|-
| 176-comma
| Wa-176
| w-176
|
| {{monzo| 279 -176 }}
| 55.920
|-
|-
| 229-comma
| 229-comma
Line 115: Line 31:
| Wa-29
| Wa-29
| w-29
| w-29
| 70368744177664 / 68630377364883
| [[Tel:70368744177664|70368744177664]] / [[Tel:68630377364883|68630377364883]]
| {{monzo| 46 -29 }}
| {{monzo| 46 -29 }}
| 43.305
| 43.305
Line 155: Line 71:
|}
|}


===[[5-limit commas]]===
===Often not considered [[3-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
| limma, Pythagorean minor second
| Lala-yoyo
| Sawa
| LLyy-2
| sw2
| 4428675 / 4194304
|[[256/243|256 / 243]]
| {{monzo| -22 11 2 }}
|{{monzo| 8 -5 }}
| 94.132
| 90.225
|-
|-
| major chroma, pelogic comma
| 301-comma
| Layobi
| Wa-301
| Ly1
| w-301
| [[135/128|135 / 128]]
|
| {{monzo| -7 3 1 }}
|{{monzo| -477 301 }}
| 92.179
| 88.455
|-
|-
| sasagu
| 248-comma
| Sasagu
| Wa-248
| ssg3
| w-248
| 8388608 / 7971615
|
| {{monzo| 23 -13 -1 }}
|{{monzo| -393 248 }}
| 88.271
| 84.840
|-
|-
| bohpier, [[13edt]] comma
| 111-comma
| Satheyo
| Wa-111
| sy<sup>13</sup>-2
| w-111
| 1220703125 / 1162261467
|
| {{monzo| 0 -19 13 }}
|{{monzo| 176 -111 }}
| 84.933
| 82.995
|-
|-
| ripple
| 142-comma
| Quingu
| Wa-142
| g<sup>5</sup>2
| w-142
| 6561 / 6250
|
| {{monzo| -1 8 -5 }}
|{{monzo| -225 142 }}
| 84.071
| 77.610
|-
|-
| doublewide
| 217-comma
| Quadbiyo
| Wa-217
| y<sup>8</sup>-2
| w-217
| 390625 / 373248
|
| {{monzo| -9 -6 8 }}
|{{monzo| 344 -217 }}
| 78.78
| 75.765
|-
|-
| sevond
| 89-comma
| Sasepyo
| Wa-89
| sy<sup>7</sup>1
| w-89
| 5000000 / 4782969
|
| {{monzo| 6 -14 7 }}
|{{monzo| -141 89 }}
| 76.826
| 73.995
|-
|-
| nusecond
|[[17-comma]]
| Legu
| Wa-17
| g<sup>11</sup>3
| ssw3
| 51018336 / 48828125
| 134217728 / 129140163
| {{monzo| 5 13 -11 }}
|{{monzo| 27 -17 }}
| 75.964
| 66.765
|-
|-
| sentinel
| 289-comma
| Trila-quadyo
| Wa-289
| L<sup>3</sup>y<sup>4</sup>-3
| w-289
| 8968066875 / 8589934592
|
| {{monzo| -33 15 4 }}
|{{monzo| -458 289 }}
| 74.580
| 64.995
|-
|-
| stump
| 70-comma
| Latriyo
| Wa-70
| Ly<sup>3</sup>-2
| w-70
| 273375 / 262144
|
| {{monzo| -18 7 3 }}
|{{monzo| 111 -70 }}
| 72.626
| 63.150
|-
|-
| classic chromatic semitone
| 183-comma
| Yoyo
| Wa-183
| yy1
| w-183
| [[25/24|25 / 24]]
|
| {{monzo| -3 -1 2 }}
|{{monzo| -290 183 }}
| 70.672
| 57.765
|-
|}
| superpyth, grave minor second
 
| Sayo
===Often considered [[5-limit commas]]===
| sy2
{| class="wikitable"
| 20480 / 19683
! Name(s)
| {{monzo| 12 -9 1 }}
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
| 68.719
![[Ratio]]
|-
![[Monzo]]
| major diesis, [[648/625|diminished comma]]
![[Cents]]
| 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
| [[Tel:10077696 / 9765625|10077696 / 9765625]]
| {{monzo| 9 9 -10 }}
|{{monzo| 9 9 -10 }}
| 54.458
| 54.458
|-
|-
Line 279: Line 176:
| 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 292: Line 189:
| 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 299: Line 196:
| Laquintrigu
| Laquintrigu
| Lg<sup>15</sup>3
| Lg<sup>15</sup>3
| 31381059609 / 30517578125
| [[Tel:31381059609|31381059609]] / [[Tel:30517578125|30517578125]]
| {{monzo| 0 22 -15 }}
|{{monzo| 0 22 -15 }}
| 48.304
| 48.304
|-
|-
Line 306: Line 203:
| Sasa-yoyo
| Sasa-yoyo
| ssyy2
| ssyy2
| 1638400 / 1594323
| [[Tel:1638400 / 1594323|1638400 / 1594323]]
| {{monzo| 16 -13 2 }}
|{{monzo| 16 -13 2 }}
| 47.212
| 47.212
|-
|-
Line 313: Line 210:
| Lalagu
| Lalagu
| LLg-2
| LLg-2
| 43046721 / 41943040
| [[Tel:43046721 / 41943040|43046721 / 41943040]]
| {{monzo| -23 16 -1 }}
|{{monzo| -23 16 -1 }}
| 44.966
| 44.966
|-
|-
Line 320: Line 217:
| 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 327: Line 224:
| Lala-quadtriyo
| Lala-quadtriyo
| LLy<sup>12</sup>-4
| LLy<sup>12</sup>-4
| 2197265625 / 2147483648
| [[Tel:2197265625|2197265625]] / [[Tel:2147483648|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
| [[Tel:48828125 / 47775744|48828125 / 47775744]]
| {{monzo| -16 -6 11 }}
|{{monzo| -16 -6 11 }}
| 37.721
| 37.721
|-
|-
Line 341: Line 238:
| Lala-sepgu
| Lala-sepgu
| LLg<sup>7</sup>1
| LLg<sup>7</sup>1
| 10460353203 / 10240000000
| [[Tel:10460353203|10460353203]] / [[Tel:10240000000|10240000000]]
| {{monzo| -17 21 -7 }}
|{{monzo| -17 21 -7 }}
| 36.859
| 36.859
|-
|-
Line 348: Line 245:
| Saquinbiyo
| Saquinbiyo
| sy<sup>10</sup>-2
| sy<sup>10</sup>-2
| 9765625 / 9565938
| [[Tel:9765625 / 9565938|9765625 / 9565938]]
| {{monzo| -1 -14 10 }}
|{{monzo| -1 -14 10 }}
| 35.767
| 35.767
|-
|-
Line 355: Line 252:
| Laquadbigu
| Laquadbigu
| Lg<sup>8</sup>2
| Lg<sup>8</sup>2
| 1594323 / 1562500
| [[Tel:1594323 / 1562500|1594323 / 1562500]]
| {{monzo| -2 13 -8 }}
|{{monzo| -2 13 -8 }}
| 34.905
| 34.905
|-
|-
Line 362: Line 259:
| Satritrigu
| Satritrigu
| sg<sup>9</sup>3
| sg<sup>9</sup>3
| 1990656 / 1953125
| [[Tel:1990656 / 1953125|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
| [[Tel:34171875 / 33554432|34171875 / 33554432]]
| {{monzo| -25 7 6 }}
|{{monzo| -25 7 6 }}
| 31.567
| 31.567
|-
|-
Line 377: Line 274:
| 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
|}
|}


===[[7-limit commas]]===
=== Often not considered [[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]]
|-
|-
| hexadecatone comma, 16-7-comma
| hogzilla
| Sasa-quadquadrubi
| Lala-yoyo
| ssr<sup>16</sup>-6
| LLyy-2
| 35184372088832 / 33232930569601
| [[Tel:4428675 / 4194304|4428675 / 4194304]]
| {{monzo| 45 0 0 -16 }}
|{{monzo| -22 11 2 }}
| 98.785
| 94.132
|-
|-
| 29-7/5-comma
| major chroma, pelogic comma
| Twenezogu
| Layobi
|
| Ly1
|
|[[135/128|135 / 128]]
| {{monzo| -14 0 -29 29 }}
|{{monzo| -7 3 1 }}
| 92.854
| 92.179
|-
|-
| 47-35-comma
| sasagu
| Thela-fosezoyo
| Sasagu
|
| ssg3
|
| [[Tel:8388608 / 7971615|8388608 / 7971615]]
| {{monzo| -241 0 47 47 }}
|{{monzo| 23 -13 -1 }}
| 91.562
| 88.271
|-
|-
| septimal minor semitone
| bohpier, [[13edt]] comma
| Zogu
| Satheyo
| zg2
| sy<sup>13</sup>-2
| 21 / 20
| [[Tel:1220703125|1220703125]] / [[Tel:1162261467|1162261467]]
| {{monzo| -2 1 -1 1 }}
|{{monzo| 0 -19 13 }}
| 84.467
| 84.933
|-
|-
| 39-7/5-comma
| ripple
| Thetriruyo
| Quingu
|
| g<sup>5</sup>2
|
| 6561 / 6250
| {{monzo| 19 0 39 -39 }}
|{{monzo| -1 8 -5 }}
| 82.024
| 84.071
|-
|-
| laruru negative 2nd
| doublewide
| Laruru
| Quadbiyo
| Lrr-2
| y<sup>8</sup>-2
| 6561 / 6272
| [[Tel:390625 / 373248|390625 / 373248]]
| {{monzo| -7 8 0 -2 }}
|{{monzo| -9 -6 8 }}
| 77.988
| 78.78
|-
|-
| 36-7-comma
| sevond
| Quinla-quadtritrizo
| Sasepyo
|
| sy<sup>7</sup>1
|
| [[Tel:5000000 / 4782969|5000000 / 4782969]]
| {{monzo| -101 0 0 36 }}
|{{monzo| 6 -14 7 }}
| 77.733
| 76.826
|-
|-
| [[Ed7/4|ED7/4]] microdiatonic comma
| nusecond
| Zozotrigu
| Legu
| zzg<sup>3</sup>3
| g<sup>11</sup>3
| [[392/375|392 / 375]]
| [[Tel:51018336 / 48828125|51018336 / 48828125]]
| {{monzo| 3 -1 -3 2 }}
|{{monzo| 5 13 -11 }}
| 76.756
| 75.964
|-
|-
| bapbo
| sentinel
| Rurugu
| Trila-quadyo
| rrg1
| L<sup>3</sup>y<sup>4</sup>-3
| 256 / 245
| [[Tel:8968066875|8968066875]] / [[Tel:8589934592|8589934592]]
| {{monzo| 8 0 -1 -2 }}
|{{monzo| -33 15 4 }}
| 76.034
| 74.580
|-
|-
| 18-21-comma
| stump
| Quinla-tritribizo
| Latriyo
|
| Ly<sup>3</sup>-2
|
| [[Tel:273375 / 262144|273375 / 262144]]
| {{monzo| -79 18 0 18 }}
|{{monzo| -18 7 3 }}
| 74.056
| 72.626
|-
|-
| 15-35-comma
| classic chromatic semitone
| Quadsa-quintrirugu
| Yoyo
|
| yy1
|
|[[25/24|25 / 24]]
| {{monzo| 77 0 -15 -15 }}
|{{monzo| -3 -1 2 }}
| 72.906
| 70.672
|-
|-
| <strike>slendro integer cents comma</strike>
| superpyth, grave minor second
|
| Sayo
|
| sy2
|
| 20480 / 19683
| {{monzo| 1123 0 0 -400 }}
|{{monzo| 12 -9 1 }}
| 69.637
| 68.719
|-
|-
| 47-7-comma
| major diesis, [[648/625|diminished comma]]
| Sepsa-foseru
| Quadgu
|
| g<sup>4</sup>2
|
|[[648/625|648 / 625]]
| {{monzo| 132 0 0 -47 }}
|{{monzo| 3 4 -4 }}
| 65.182
| 62.565
|-
|-
| 33-21-comma
| passion
| Tritrisa-letriru
| Saquingu
|
| sg<sup>5</sup>3
|
| [[Tel:262144 / 253125|262144 / 253125]]
| {{monzo| 145 -33 0 -33 }}
|{{monzo| 18 -4 -5 }}
| 64.23
| 60.611
|-
|-
| Archytas' 1/3-tone
| shibboleth
| Zo
| Tritriyo
| z2
| y<sup>9</sup>-2
| 28 / 27
| [[Tel:1953125 / 1889568|1953125 / 1889568]]
| {{monzo| 2 -3 0 1 }}
|{{monzo| -5 -10 9 }}
| 62.961
| 57.273
|-
|}
| 31-7/5-comma
 
| Thiwezogu
===Often considered [[7-limit commas]]===
|
{| class="wikitable"
|
! Name(s)
| {{monzo| -15 0 -31 31 }}
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
| 57.878
![[Ratio]]
![[Monzo]]
![[Cents]]
|-
|-
| greenwoodma
| greenwoodma
Line 505: Line 404:
| rry-2
| rry-2
| 405 / 392
| 405 / 392
| {{monzo| -3 4 1 -2 }}
|{{monzo| -3 4 1 -2 }}
| 56.482
| 56.482
|-
|-
Line 512: Line 411:
|
|
| 576460752303423488 / 558545864083284007
| 576460752303423488 / 558545864083284007
| {{monzo| 59 0 0 -21 }}
|{{monzo| 59 0 0 -21 }}
| 54.656
| 54.656
|-
|-
Line 518: Line 417:
| 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 526: Line 425:
|
|
|
|
| {{monzo| -200 0 39 39 }}
|{{monzo| -200 0 39 39 }}
| 50.445
| 50.445
|-
|-
Line 533: Line 432:
| 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 539: Line 438:
| 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 547: Line 446:
|
|
|
|
| {{monzo| 18 0 37 -37 }}
|{{monzo| 18 0 37 -37 }}
| 47.049
| 47.049
|-
|-
Line 553: Line 452:
| Saquinru
| Saquinru
| sr<sup>5</sup>-2
| sr<sup>5</sup>-2
| 4194304 / 4084101
| [[Tel:4194304 / 4084101|4194304 / 4084101]]
| {{monzo| 22 -5 0 -5 }}
|{{monzo| 22 -5 0 -5 }}
| 46.095
| 46.095
|-
|-
Line 561: Line 460:
| 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 568: Line 467:
| Lzyy1
| Lzyy1
| 525 / 512
| 525 / 512
| {{monzo| -9 1 2 1 }}
|{{monzo| -9 1 2 1 }}
| 43.408
| 43.408
|-
|-
Line 574: Line 473:
| Lala-quadbizoyo
| Lala-quadbizoyo
| LLz<sup>8</sup>y<sup>8</sup>2
| LLz<sup>8</sup>y<sup>8</sup>2
| 2251875390625 / 2199023255552
| [[Tel:2251875390625|2251875390625]] / [[Tel:2199023255552|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
| [[Tel:1071875 / 1048576|1071875 / 1048576]]
| {{monzo| -20 0 5 3 }}
|{{monzo| -20 0 5 3 }}
| 38.046
| 38.046
|-
|-
Line 588: Line 487:
| 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 602: Line 501:
| 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 609: Line 508:
| Sepru
| Sepru
| r<sup>7</sup>-4
| r<sup>7</sup>-4
| 839808 / 823543
| [[Tel:839808 / 823543|839808 / 823543]]
| {{monzo| 7 8 0 -7 }}
|{{monzo| 7 8 0 -7 }}
| 33.859
| 33.859
|-
|-
Line 617: Line 516:
|
|
|
|
| {{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 631: Line 530:
|
|
|
|
| {{monzo| 118 0 -23 -23 }}
|{{monzo| 118 0 -23 -23 }}
| 31.789
| 31.789
|}
|}


===[[11-limit commas]]===
===Often not considered [[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
| [[Tel:35184372088832|35184372088832]] / [[Tel:33232930569601|33232930569601]]
|{{monzo| 45 0 0 -16 }}
| 98.785
|-
| 29-7/5-comma
| Twenezogu
|
|
|{{monzo| -14 0 -29 29 }}
| 92.854
|-
| 47-35-comma
| Thela-fosezoyo
|
|
|{{monzo| -241 0 47 47 }}
| 91.562
|-
| septimal minor semitone
| Zogu
| zg2
| 21 / 20
|{{monzo| -2 1 -1 1 }}
| 84.467
|-
| 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
|-
|-
| 11-cycle major seventh prote, 35-11-comma
| 47-7-comma
| Quinla-sepquinlo
| Sepsa-foseru
|  
|
|  
|
| {{monzo| -121 0 0 0 35 }}
|{{monzo| 132 0 0 -47 }}
| 96.128
| 65.182
|-
|-
| undecimal minor semitone
| 33-21-comma
| Loru
| Tritrisa-letriru
| 1or1
|
| 22 / 21
|
| {{monzo| 1 -1 0 -1 1 }}
|{{monzo| 145 -33 0 -33 }}
| 80.537
| 64.23
|-
|-
| 11-cycle chroma, 11-11-comma
| Archytas' 1/3-tone
| Lala-lelo
| Zo
| LL1o<sup>11</sup>-3
| z2
| 285311670611 / 274877906944
| 28 / 27
| {{monzo| -38 0 0 0 11 }}
|{{monzo| 2 -3 0 1 }}
| 64.497
| 62.961
|-
|-
| lalu unison
| 31-7/5-comma
| Lalu
| Thiwezogu
| L1u1
|
| 729 / 704
|
| {{monzo| -6 6 0 0 -1 }}
|{{monzo| -15 0 -31 31 }}
| 60.412
| 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 675: Line 667:
| 1o1
| 1o1
| 33 / 32
| 33 / 32
| {{monzo| -5 1 0 0 1 }}
|{{monzo| -5 1 0 0 1 }}
| 53.273
| 53.273
|-
|-
Line 682: Line 674:
| 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 689: Line 681:
| 1uy1
| 1uy1
| 45 / 44
| 45 / 44
| {{monzo| -2 2 1 0 -1 }}
|{{monzo| -2 2 1 0 -1 }}
| 38.906
| 38.906
|-
|-
Line 696: Line 688:
| s1u2
| s1u2
| 8192 / 8019
| 8192 / 8019
| {{monzo| 13 -6 0 0 -1 }}
|{{monzo| 13 -6 0 0 -1 }}
| 36.952
| 36.952
|-
|-
Line 702: Line 694:
| Sasa-thelu
| Sasa-thelu
| ss1u<sup>13</sup>4
| ss1u<sup>13</sup>4
| 35184372088832 / 34522712143931
| [[Tel:35184372088832|35184372088832]] / [[Tel:34522712143931|34522712143931]]
| {{monzo| 45 0 0 0 -13 }}
|{{monzo| 45 0 0 0 -13 }}
| 32.867
| 32.867
|-
|-
Line 710: Line 702:
| 1oy1
| 1oy1
| 55 / 54
| 55 / 54
| {{monzo| -1 -3 1 0 1 }}
|{{monzo| -1 -3 1 0 1 }}
| 31.767
| 31.767
|-
|-
Line 717: Line 709:
|  
|  
|  
|  
| {{monzo| -83 0 0 0 24 }}
|{{monzo| -83 0 0 0 24 }}
| 31.631
| 31.631
|-
|-
Line 724: Line 716:
| 1uzg2
| 1uzg2
| 56 / 55
| 56 / 55
| {{monzo| 3 0 -1 1 -1 }}
|{{monzo| 3 0 -1 1 -1 }}
| 31.194
| 31.194
|}
|}


===[[13-limit commas]]===
===Often not considered [[11-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 736: Line 728:
! Cents
! Cents
|-
|-
| large tridecimal 1/3-tone
| 11-cycle major seventh prote, 35-11-comma
| Thogugu
| Quinla-sepquinlo
| 3ogg2
|
| [[26/25|26 / 25]]
|
| {{monzo| 1 0 -2 0 0 1 }}
|{{monzo| -121 0 0 0 35 }}
| 67.9
| 96.128
|-
| undecimal minor semitone
| Loru
| 1or1
| 22 / 21
|{{monzo| 1 -1 0 -1 1 }}
| 80.537
|-
| 11-cycle chroma, 11-11-comma
| Lala-lelo
| LL1o<sup>11</sup>-3
| [[Tel:285311670611|285311670611]] / [[Tel:274877906944|274877906944]]
|{{monzo| -38 0 0 0 11 }}
| 64.497
|-
| lalu unison
| Lalu
| L1u1
| 729 / 704
|{{monzo| -6 6 0 0 -1 }}
| 60.412
|-
|-
| small tridecimal 1/3-tone
| colspan="6" | undecimal 1/4-tone, al-Farabi's 1/4-tone
| Thu
|}
| 3u1
 
| [[27/26|27 / 26]]
===Often considered [[13-limit commas]]===
| {{monzo| -1 3 0 0 0 -1 }}
{| class="wikitable"
| 65.337
! 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 761: Line 778:
| 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 767: Line 784:
| Latribitho
| Latribitho
| L3o<sup>6</sup>2
| L3o<sup>6</sup>2
| 4826809 / 4718592
| [[Tel:4826809 / 4718592|4826809 / 4718592]]
| {{monzo| -19 -2 0 0 0 6 }}
|{{monzo| -19 -2 0 0 0 6 }}
| 39.256
| 39.256
|}
|}
===[[17-limit commas]]===
===Often not considered [[13-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 779: Line 796:
! Cents
! Cents
|-
|-
| small septendeciml semitone, Arabic lute index finger
| large tridecimal 1/3-tone
| Su
| Thogugu
| 17u1
| 3ogg2
| 18 / 17
|[[26/25|26 / 25]]
| {{monzo| 1 2 0 0 0 0 -1 }}
|{{monzo| 1 0 -2 0 0 1 }}
| 98.955
| 67.9
|-
|-
| 12 semitone comma
| small tridecimal 1/3-tone
| Lala-quadtriso
| Thu
| LL17o<sup>12</sup>6
| 3u1
| 582622237229761 / 562949953421312
|[[27/26|27 / 26]]
| {{monzo| -49 0 0 0 0 0 12 }}
|{{monzo| -1 3 0 0 0 -1 }}
| 59.465
| 65.337
|}
===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 797: Line 822:
| 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 804: Line 829:
| 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 810: Line 835:
| Sasa-lesu
| Sasa-lesu
| ss17u<sup>11</sup>-5
| ss17u<sup>11</sup>-5
| 35184372088832 / 34271896307633
| [[Tel:35184372088832|35184372088832]] / [[Tel:34271896307633|34271896307633]]
| {{monzo| 45 0 0 0 0 0 -11 }}
|{{monzo| 45 0 0 0 0 0 -11 }}
| 45.49
| 45.49
|-
|-
Line 818: Line 843:
| 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 825: Line 850:
| 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 832: Line 857:
|
|
|
|
| {{monzo| 139 0 0 0 0 0 -34 }}
|{{monzo| 139 0 0 0 0 0 -34 }}
| 31.516
| 31.516
|}
|}


===[[19-limit commas]]===
===Often not considered [[17-limit commas]]===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 844: Line 869:
! Cents
! Cents
|-
|-
| large undevicesimal semitone
| small septendeciml semitone, Arabic lute index finger
| Ino
| Su
| 19o2
| 17u1
| 19 / 18
| 18 / 17
| {{monzo| -1 -2 0 0 0 0 0 1 }}
|{{monzo| 1 2 0 0 0 0 -1 }}
| 93.603
| 98.955
|-
|-
| small undevicesimal semitone
| 12 semitone comma
| Nuyo
| Lala-quadtriso
| 19uy1
| LL17o<sup>12</sup>6
| 20 / 19
| 582622237229761 / [[Tel:562949953421312|562949953421312]]
| {{monzo| 2 0 1 0 0 0 0 -1 }}
|{{monzo| -49 0 0 0 0 0 12 }}
| 88.801
| 59.465
|}
 
===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 862: Line 896:
| 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 869: Line 903:
| 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
|}
|}


Retrieved from "https://en.xen.wiki/w/Medium_comma"