Medium comma: Difference between revisions

m 13-limit commas: corrected a typo in Monzo
 
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A '''medium comma''' is a [[comma]] whose size is approximately between 30 and 100 cents. These commas are easily perceptible.
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 [[diesis (interval region)|dieses]], and intervals in the larger part of this category are [[semitone (interval region)|semitones]]<ref>[https://sagittal.org/sagittal.pdf ''Sagittal – A Microtonal Notation System''] by [[George Secor|George D. Secor]] and [[Dave Keenan|David C. Keenan]]</ref>.  


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]].
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]].
Line 5: Line 5:
Except for the 3-limit commas, the [[color name]] refers to both the comma and the temperament created when it is tempered out.
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==
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.
===Often considered [[3-limit commas]]===
 
{| class="wikitable"
== List of commas, by prime limit ==
!Name(s)
=== 3-limit commas ===
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
{{See also| Table of 3-limit commas }}
![[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)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
! [[Ratio]]
![[Monzo]]
! [[Monzo]]
![[Cents]]
! [[Cents]]
! Named by
|-
|-
| limma, Pythagorean minor second
| [[256/243|Pythagorean limma]], blackwood comma
| Sawa
| Sawa
| sw2
| sw2
|[[256/243|256 / 243]]
| 256 / 243
|{{monzo| 8 -5 }}
| {{monzo| 8 -5 }}
| 90.225
| 90.225
|
|-
|-
| 301-comma
| 301-comma
Line 81: Line 31:
| w-301
| w-301
|
|
|{{monzo| -477 301 }}
| {{monzo| -477 301 }}
| 88.455
| 88.455
|
|-
|-
| 248-comma
| 248-comma
Line 88: Line 39:
| w-248
| w-248
|
|
|{{monzo| -393 248 }}
| {{monzo| -393 248 }}
| 84.840
| 84.840
|
|-
|-
| 111-comma
| 111-comma
Line 95: Line 47:
| w-111
| w-111
|
|
|{{monzo| 176 -111 }}
| {{monzo| 176 -111 }}
| 82.995
| 82.995
|
|-
|-
| 142-comma
| 142-comma
Line 102: Line 55:
| w-142
| w-142
|
|
|{{monzo| -225 142 }}
| {{monzo| -225 142 }}
| 77.610
| 77.610
|
|-
|-
| 217-comma
| 217-comma
Line 109: Line 63:
| w-217
| w-217
|
|
|{{monzo| 344 -217 }}
| {{monzo| 344 -217 }}
| 75.765
| 75.765
|
|-
|-
| 89-comma
| 89-comma
Line 116: Line 71:
| w-89
| w-89
|
|
|{{monzo| -141 89 }}
| {{monzo| -141 89 }}
| 73.995
| 73.995
|
|-
|-
|[[17-comma]]
| [[Gothic comma]], Pythagorean gothma, 17-comma
| Wa-17
| Wa-17
| ssw3
| ssw3
| 134217728 / 129140163
| 134217728 / 129140163
|{{monzo| 27 -17 }}
| {{monzo| 27 -17 }}
| 66.765
| 66.765
| [[Flora Canou]] (2023) for ''Pyth. gothma'' and ''gothic comma''
|-
|-
| 289-comma
| 289-comma
Line 130: Line 87:
| w-289
| w-289
|
|
|{{monzo| -458 289 }}
| {{monzo| -458 289 }}
| 64.995
| 64.995
|
|-
|-
| 70-comma
| 70-comma
Line 137: Line 95:
| w-70
| w-70
|
|
|{{monzo| 111 -70 }}
| {{monzo| 111 -70 }}
| 63.150
| 63.150
|
|-
|-
| 183-comma
| 183-comma
Line 144: Line 103:
| w-183
| w-183
|
|
|{{monzo| -290 183 }}
| {{monzo| -290 183 }}
| 57.765
| 57.765
|}
===Often considered [[5-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
![[Monzo]]
![[Cents]]
|-
| mynic
| Quinbigu
| g<sup>10</sup>3
|  
|  
|{{monzo| 9 9 -10 }}
| 54.458
|-
|-
| tritonic
| 176-comma
| Lala-quinyo
| Wa-176
| LLy<sup>5</sup>-3
| w-176
| 553584375 / 536870912
|
|{{monzo| -29 11 5 }}
| {{monzo| 279 -176 }}
| 53.074
| 55.920
|-
|[[negri comma]], double augmentation diesis
| Laquadyo
| Ly<sup>4</sup>-2
| 16875 / 16384
|{{monzo| -14 3 4 }}
| 51.120
|-
| porcupine comma, maximal diesis
| Triyo
| y<sup>3</sup>1
|[[250/243|250 / 243]]
|{{monzo| 1 -5 3 }}
| 49.166
|-
| mowgli, [[15edt]] comma
| Laquintrigu
| Lg<sup>15</sup>3
|  
|  
|{{monzo| 0 22 -15 }}
| 48.304
|-
|-
| immunity
| 229-comma
| Sasa-yoyo
| Wa-229
| ssyy2
| w-229
|
| {{monzo| 363 -229 }}
| 52.305
|  
|  
|{{monzo| 16 -13 2 }}
| 47.212
|-
|-
| lalagu comma
| 77-comma
| Lalagu
| Wa-77
| LLg-2
| w-77
|
| {{monzo| -122 77 }}
| 50.535
|  
|  
|{{monzo| -23 16 -1 }}
| 44.966
|-
|-
| diesis, augmented comma
| [[Mystery comma]], 29-comma
| Trigu
| Wa-29
| g<sup>3</sup>2
| w-29
|[[128/125|128 / 125]]
| 70368744177664 / 68630377364883
|{{monzo| 7 0 -3 }}
| {{monzo| 46 -29 }}
| 41.059
| 43.305
|-
| wizard
| Lala-quadtriyo
| LLy<sup>12</sup>-4
|  
|  
|{{monzo| -31 2 12 }}
| 39.675
|-
|-
|[[sycamore]]
| 277-comma
| Laleyo
| Wa-277
| Ly<sup>11</sup>-3
| w-277
|
| {{monzo| -439 277 }}
| 41.535
|  
|  
|{{monzo| -16 -6 11 }}
| 37.721
|-
|-
| absurdity
| 224-comma
| Lala-sepgu
| Wa-224
| LLg<sup>7</sup>1
| w-224
|
| {{monzo| -355 224 }}
| 37.920
|  
|  
|{{monzo| -17 21 -7 }}
| 36.859
|-
|-
| fifive
| 135-comma
| Saquinbiyo
| Wa-135
| sy<sup>10</sup>-2
| w-135
|  
|
|{{monzo| -1 -14 10 }}
| {{monzo| 214 -135 }}
| 35.767
| 36.075
|-
| unicorn
| Laquadbigu
| Lg<sup>8</sup>2
|  
|  
|{{monzo| -2 13 -8 }}
| 34.905
|-
|-
| valentine comma
| 171-comma
| Satritrigu
| Wa-171
| sg<sup>9</sup>3
| w-171
|
| {{monzo| -271 171 }}
| 34.305
|  
|  
|{{monzo| 13 5 -9 }}
| 32.952
|-
|-
|[[ampersand]], Ampersand's comma
| 118-comma
| Lala-tribiyo
| Wa-118
| LLy<sup>6</sup>-3
| w-118
|
| {{monzo| -187 118 }}
| 30.690
|  
|  
|{{monzo| -25 7 6 }}
| 31.567
|-
| mabila comma
| Sasa-quinbigu
| ssg<sup>10</sup>4
| 268435456 / 263671875
|{{monzo| 28 -3 -10 }}
| 30.998
|}
|}


=== Often not considered [[5-limit commas]] ===
=== 5-limit commas ===
{{See also| Table of 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]]
! Named by
|-
|-
| hogzilla
| Hogzilla comma
| Lala-yoyo
| Lala-yoyo
| LLyy-2
| LLyy-2
| 4428675 / 4194304
| {{Monzo| -22 11 2 }}
| 94.132
|  
|  
|{{monzo| -22 11 2 }}
| 94.132
|-
|-
| major chroma, pelogic comma
| [[135/128|Mavila 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
|
|-
|-
| sasagu
| Quasisuper comma
| Sasagu
| Sasagu
| ssg3
| ssg3
| 8388608 / 7971615
| {{Monzo| 23 -13 -1 }}
| 88.271
|  
|  
|{{monzo| 23 -13 -1 }}
| 88.271
|-
|-
| bohpier, [[13edt]] comma
| Bohpier comma, [[13edt]] comma
| Satheyo
| Satheyo
| sy<sup>13</sup>-2
| s13y-2
| 1220703125 / 1162261467
| {{Monzo| 0 -19 13 }}
| 84.933
|  
|  
|{{monzo| 0 -19 13 }}
| 84.933
|-
|-
| ripple
| [[6561/6250|Ripple comma]]
| Quingu
| Quingu
| g<sup>5</sup>2
| 5g2
| 6561 / 6250
| 6561 / 6250
|{{monzo| -1 8 -5 }}
| {{Monzo| -1 8 -5 }}
| 84.071
| 84.071
|
|-
|-
| doublewide
| [[Dodecoid comma]]
| Sasa-sepgu
| ss7g4
| 536870912 / 512578125
| {{Monzo| 29 -8 -7 }}
| 80.164
| [[User:CompactStar|CompactStar]] (2023)
|-
| Doublewide comma
| Quadbiyo
| Quadbiyo
| y<sup>8</sup>-2
| 8y-2
| 390625 / 373248
| {{Monzo| -9 -6 8 }}
| 78.78
|  
|  
|{{monzo| -9 -6 8 }}
| 78.78
|-
|-
| sevond
| Sevond comma
| Sasepyo
| Sasepyo
| sy<sup>7</sup>1
| s7y1
|  
| 5000000 / 4782969
|{{monzo| 6 -14 7 }}
| {{Monzo| 6 -14 7 }}
| 76.826
| 76.826
| [[Petr Pařízek]] (2011)
|-
|-
| nusecond
| Nusecond comma
| Legu
| Legu
| g<sup>11</sup>3
| 11g3
| 51018336 / 48828125
| {{Monzo| 5 13 -11 }}
| 75.964
|  
|  
|{{monzo| 5 13 -11 }}
| 75.964
|-
|-
| sentinel
| Sentinel comma
| Trila-quadyo
| Trila-quadyo
| L<sup>3</sup>y<sup>4</sup>-3
| 3L4y-3
| 8968066875 / 8589934592
| {{Monzo| -33 15 4 }}
| 74.580
|  
|  
|{{monzo| -33 15 4 }}
| 74.580
|-
|-
| stump
| [[Hypovishnuzma]]
| Saquadtrigu
| s12g4
| 254803968 / 244140625
| {{Monzo| 20 5 -12 }}
| 74.010
| [[ArrowHead294]] (2024)
|-
| Stump comma
| Latriyo
| Latriyo
| Ly<sup>3</sup>-2
| L3y-2
| 273375 / 262144
| {{Monzo| -18 7 3 }}
| 72.626
|  
|  
|{{monzo| -18 7 3 }}
| 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
|
|-
|-
| superpyth, grave minor second
| [[20480/19683|Superpyth comma]], grave minor second
| Sayo
| Sayo
| sy2
| sy2
| 20480 / 19683
| 20480 / 19683
|{{monzo| 12 -9 1 }}
| {{Monzo| 12 -9 1 }}
| 68.719
| 68.719
|
|-
|-
| major diesis, [[648/625|diminished comma]]
| [[648/625|Diminished comma]], major diesis
| Quadgu
| Quadgu
| g<sup>4</sup>2
| 4g2
|[[648/625|648 / 625]]
| 648 / 625
|{{monzo| 3 4 -4 }}
| {{Monzo| 3 4 -4 }}
| 62.565
| 62.565
| [[Paul Erlich]], [[Carl Lumma]] (2002)
|-
|-
| passion
| [[Passion comma]]
| Saquingu
| Saquingu
| sg<sup>5</sup>3
| s5g3
|  
| 262144 / 253125
|{{monzo| 18 -4 -5 }}
| {{Monzo| 18 -4 -5 }}
| 60.611
| 60.611
| [[Paul Erlich]] (2004)
|-
|-
| shibboleth
| [[Shibboleth comma]]
| Tritriyo
| Tritriyo
| y<sup>9</sup>-2
| 9y-2
|  
| 1953125 / 1889568
|{{monzo| -5 -10 9 }}
| {{Monzo| -5 -10 9 }}
| 57.273
| 57.273
|}
| [[Paul Erlich]] (2002)
 
===Often considered [[7-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
![[Ratio]]
![[Monzo]]
![[Cents]]
|-
|-
| greenwoodma
| Mynic comma
| Ruruyo
| Quinbigu
| rry-2
| 10g3
| 405 / 392
| 10077696 / 9765625
|{{monzo| -3 4 1 -2 }}
| {{Monzo| 9 9 -10 }}
| 56.482
| 54.458
|
|-
|-
| 21-7-comma
| Tritonic comma
| Trisa-septriru
| Lala-quinyo
|
| LL5y-3
| 576460752303423488 / 558545864083284007
| 553584375 / 536870912
|{{monzo| 59 0 0 -21 }}
| {{Monzo| -29 11 5 }}
| 54.656
| 53.074
|
|-
|-
| Harrison's comma
| [[Magus comma]]
| Laru
| Salegu
| Lr-2
| s11g4
|[[59049/57344|59049 / 57344]]
| 50331648 / 48828125
|{{monzo| -13 10 0 -1 }}
| {{Monzo| 24 1 -11 }}
| 50.724
| 52.504
| [[ArrowHead294]] (2024)
|-
|-
| 39-35-comma
| [[Negri comma]], double augmentation diesis
| Lela-thetrizoyo
| Laquadyo
|
| L4y-2
|
| 16875 / 16384
|{{monzo| -200 0 39 39 }}
| {{Monzo| -14 3 4 }}
| 50.445
| 51.120
| [[Paul Erlich]] (2002)
|-
|-
| keega
| [[Goldis comma]]
| Trizogu
| Trisa-quadtrigu
| z<sup>3</sup>g<sup>3</sup>3
| 3s12g5
| 1029 / 1000
| 549755813888 / 533935546875
|{{monzo| -3 1 -3 3 }}
| {{Monzo| 39 -7 -12 }}
| 49.492
| 50.550
| [[Userminusone]] (2021)
|-
|-
| septimal 1/4-tone
| [[250/243|Porcupine comma]], maximal diesis
| Rugu
| Triyo
| rg1
| 3y1
|[[36/35|36 / 35]]
| 250 / 243
|{{monzo| 2 2 -1 -1 }}
| {{Monzo| 1 -5 3 }}
| 48.77
| 49.166
| [[Herman Miller]] (1999)
|-
|-
| 37-7/5-comma
| Mowgli comma, [[15edt]] comma
| Thiseruyo
| Laquintrigu
|
| L15g3
|
| 31381059609 / <br>30517578125
|{{monzo| 18 0 37 -37 }}
| {{Monzo| 0 22 -15 }}
| 47.049
| 48.304
|
|-
|-
| 5-21-comma
| [[Immunity comma]]
| Saquinru
| Sasa-yoyo
| sr<sup>5</sup>-2
| ssyy2
|  
| 1638400 / 1594323
|{{monzo| 22 -5 0 -5 }}
| {{Monzo| 16 -13 2 }}
| 46.095
| 47.212
| [[Mike Battaglia]] (2011)
|-
|-
| cloudy
| [[Python comma]]
| Laquinzo
| Lalagu
| Lz<sup>5</sup>3
| LLg-2
| 16807 / 16384
| 43046721 / 41943040
|{{monzo| -14 0 0 5 }}
| {{Monzo| -23 16 -1 }}
| 44.13
| 44.966
| [[CompactStar]] (2023)
|-
|-
| Avicennma, Avicenna's enharmonic diesis
| [[128/125|Augmented comma]], diesis
| Lazoyoyo
| Trigu
| Lzyy1
| 3g2
| 525 / 512
| 128 / 125
|{{monzo| -9 1 2 1 }}
| {{Monzo| 7 0 -3 }}
| 43.408
| 41.059
| [[Paul Erlich]], [[Carl Lumma]] (2002)
|-
|-
| 8-35-comma
| Wizard comma
| Lala-quadbizoyo
| Lala-quadtriyo
| LLz<sup>8</sup>y<sup>8</sup>2
| LL12y-4
| 2197265625 / 2147483648
| {{Monzo| -31 2 12 }}
| 39.675
|  
|  
|{{monzo| -41 0 8 8 }}
| 41.117
|-
|-
|[[Mabilismic clan|mabilisma]]
| [[Sycamore comma]]
| Latrizo-aquinyo
| Laleyo
| Lz<sup>3</sup>y<sup>5</sup>1
| L11y-3
|  
| 48828125 / 47775744
|{{monzo| -20 0 5 3 }}
| {{Monzo| -16 -6 11 }}
| 38.046
| 37.721
| [[Paul Erlich]] (2002)
|-
|-
| slendro diesis
| Absurdity comma
| Zozo
| Lala-sepgu
| zz2
| LL7g1
|[[49/48|49 / 48]]
| 10460353203 / <br>10240000000
|{{monzo| -4 -1 0 2 }}
| {{Monzo| -17 21 -7 }}
| 35.697
| 36.859
| [[Mike Battaglia]] (2011)
|-
|-
|[[Arcturus clan|Arcturus comma]]
| Fifive comma
| Larutribiyo
| Saquinbiyo
| Lry<sup>6</sup>-2
| s10y-2
| 15625 / 15309
| 9765625 / 9565938
|{{monzo| 0 -7 6 -1 }}
| {{Monzo| -1 -14 10 }}
| 35.371
| 35.767
| [[Petr Pařízek]] (2011)
|-
|-
| jubilisma, tritonic diesis
| [[Unicorn comma]]
| Biruyo
| Laquadbigu
| rryy-2
| L8g2
|[[50/49|50 / 49]]
| 1594323 / 1562500
|{{monzo| 1 0 2 -2 }}
| {{Monzo| -2 13 -8 }}
| 34.976
| 34.905
| [[Paul Erlich]] (2002)
|-
|-
| eric
| [[Valentine comma]]
| Sepru
| Satritrigu
| r<sup>7</sup>-4
| s9g3
|  
| 1990656 / 1953125
|{{monzo| 7 8 0 -7 }}
| {{Monzo| 13 5 -9 }}
| 33.859
| 32.952
| [[Paul Erlich]] (2002)
|-
|-
| German sixth comma
| [[Aenima comma]]
| Quadla-thiwezo
| Trisa-quadbiyo
|
| 3s8y2
|
| 209715200000000 / 205891132094649
|{{monzo| -87 0 0 31 }}
| {{Monzo| 29 -30 8 }}
| 33.603
| 31.860
| [[Douglas Blumeyer]] (2023)
|-
|-
|[[Llywelyn clan|llywelyn comma]]
| [[Ampersand comma]], Ampersand's comma
| Sasepru-agu
| Lala-tribiyo
| sr<sup>7</sup>g-3
| LL6y-3
|[[4194304/4117715|4194304 / 4117715]]
| 34171875 / 33554432
|{{monzo| 22 0 -1 -7 }}
| {{Monzo| -25 7 6 }}
| 31.905
| 31.567
|
|-
|-
| 23-35-comma
| Mabila comma
| Sepsa-twetherugu
| Sasa-quinbigu
|
| ss10g4
|
| 268435456 / 263671875
|{{monzo| 118 0 -23 -23 }}
| {{Monzo| 28 -3 -10 }}
| 31.789
| 30.998
|
|}
|}


===Often not considered [[7-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]]
! Named by
|-
|-
| hexadecatone comma, 16-7-comma
| Hexadecatone comma, 16-7-comma
| Sasa-quadquadrubi
| Sasa-quadquadrubi
| ssr<sup>16</sup>-6
| ss16r-6
| 35184372088832 / 33232930569601
| {{Monzo| 45 0 0 -16 }}
| 98.785
|  
|  
|{{monzo| 45 0 0 -16 }}
|-
| 98.785
| [[343/324|Gamelismic minor second]]
| Trizo
| 3z3
| 343 / 324
| {{Monzo| -2 -4 0 3 }}
| 98.658
| [[User:Jerdle|Jerdle]] (2021)
|-
|-
| 29-7/5-comma
| 29-7/5-comma
| Twenezogu
| Twenezogu
|
| 29zg19
|
| <abbr title="3219905755813179726837607 / 3051757812500000000000000">(50 digits)</abbr>
|{{monzo| -14 0 -29 29 }}
| {{Monzo| -14 0 -29 29 }}
| 92.854
| 92.854
|
|-
|-
| 47-35-comma
| 47-35-comma
| Thela-fosezoyo
| Thela-fosezoyo
|
| 13L47zy6
|
|  
|{{monzo| -241 0 47 47 }}
| {{Monzo| -241 0 47 47 }}
| 91.562
| 91.562
|
|-
|-
| septimal minor semitone
| [[21/20|Septimal minor semitone]]
| Zogu
| Zogu
| zg2
| zg2
| 21 / 20
| 21 / 20
|{{monzo| -2 1 -1 1 }}
| {{Monzo| -2 1 -1 1 }}
| 84.467
| 84.467
|
|-
|-
| 39-7/5-comma
| 39-7/5-comma
| Thetriruyo
| Thetriruyo
| 39ry-24
|
|
|
| {{Monzo| 19 0 39 -39 }}
|{{monzo| 19 0 39 -39 }}
| 82.024
| 82.024
|
|-
|-
| laruru negative 2nd
| 6561/6272
| Laruru
| Laruru
| Lrr-2
| Lrr-2
| 6561 / 6272
| 6561 / 6272
|{{monzo| -7 8 0 -2 }}
| {{Monzo| -7 8 0 -2 }}
| 77.988
| 77.988
|
|-
|-
| 36-7-comma
| 36-7-comma
| Quinla-quadtritrizo
| Quinla-quadtritrizo
| 5L36z14
|
|
|
| {{Monzo| -101 0 0 36 }}
|{{monzo| -101 0 0 36 }}
| 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
| zz3g3
|[[392/375|392 / 375]]
| 392 / 375
|{{monzo| 3 -1 -3 2 }}
| {{Monzo| 3 -1 -3 2 }}
| 76.756
| 76.756
| [[User:OffsuitKnave|OffsuitKnave]] (2022)
|-
|-
| bapbo
| [[256/245|Bapbo comma]]
| Rurugu
| Rurugu
| rrg1
| rrg1
| 256 / 245
| 256 / 245
|{{monzo| 8 0 -1 -2 }}
| {{Monzo| 8 0 -1 -2 }}
| 76.034
| 76.034
| [[User:Flirora|+merlan #flirora]] (2021)
|-
|-
| 18-21-comma
| 18-21-comma
| Quinla-tritribizo
| Quinla-tritribizo
| 5L18z6
|
|
|
| {{Monzo| -79 18 0 18 }}
|{{monzo| -79 18 0 18 }}
| 74.056
| 74.056
|
|-
|-
| 15-35-comma
| 15-35-comma
| Quadsa-quintrirugu
| Quadsa-quintrirugu
| 4s15rg-2
|
|
|
| {{Monzo| 77 0 -15 -15 }}
|{{monzo| 77 0 -15 -15 }}
| 72.906
| 72.906
|
|-
|-
|<strike>slendro integer cents comma</strike>
| <strike>slendro integer cents comma</strike>{{clarify}}
|
|
|
|
|
|
|{{monzo| 1123 0 0 -400 }}
| {{Monzo| 1123 0 0 -400 }}
| 69.637
| 69.637
|
|-
|-
| 47-7-comma
| 47-7-comma
| Sepsa-foseru
| Sepsa-foseru
| 7s47r-17
|
|
|
| {{Monzo| 132 0 0 -47 }}
|{{monzo| 132 0 0 -47 }}
| 65.182
| 65.182
|
|-
| [[8505/8192|35 large diesis]]
| Lazoyo
| Lzy1
| 8505 / 8192
| {{Monzo| -13 5 1 1 }}
| 64.915
| [[Douglas Blumeyer]] (2024)
|-
|-
| 33-21-comma
| 33-21-comma
| Tritrisa-letriru
| Tritrisa-letriru
| 9s33r-9
|
|
|
| {{Monzo| 145 -33 0 -33 }}
|{{monzo| 145 -33 0 -33 }}
| 64.23
| 64.23
|
|-
|-
| Archytas' 1/3-tone
| [[28/27|Trienstonic comma]], septimal third-tone
| Zo
| Zo
| z2
| z2
| 28 / 27
| 28 / 27
|{{monzo| 2 -3 0 1 }}
| {{Monzo| 2 -3 0 1 }}
| 62.961
| 62.961
|
|-
|-
| 31-7/5-comma
| 31-7/5-comma
| Thiwezogu
| Thiwezogu
| 31zg20
|
|
| {{Monzo| -15 0 -31 31 }}
| 57.878
|
|-
| [[1323/1280|Septimal 2/7-tone]]
| Lazozogu
| Lzzg2
| 1323 / 1280
| {{Monzo| -8 3 -1 2 }}
| 57.203
| [[Eliora]] (2022)
|-
| [[405/392|Greenwoodma]]
| Ruruyo
| rry-2
| 405 / 392
| {{Monzo| -3 4 1 -2 }}
| 56.482
| [[Francium]] (2023)
|-
| 21-7-comma
| Trisa-septriru
| 3s21r-8
| <abbr title="576460752303423488 / 558545864083284007">(36 digits)</abbr>
| {{Monzo| 59 0 0 -21 }}
| 54.656
|
|-
| [[59049/57344|Harrison's comma]]
| Laru
| Lr-2
| 59049 / 57344
| {{Monzo| -13 10 0 -1 }}
| 50.724
|
|-
| 39-35-comma
| Lela-thetrizoyo
| 11L39zy5
|
|
|{{monzo| -15 0 -31 31 }}
| {{Monzo| -200 0 39 39 }}
| 57.878
| 50.445
|
|-
| [[1029/1000|Keega]]
| Trizogu
| 3zg3
| 1029 / 1000
| {{Monzo| -3 1 -3 3 }}
| 49.492
| [[Gene Ward Smith]] (2005)
|-
| [[36/35|Mint comma]], septimal quartertone
| Rugu
| rg1
| 36 / 35
| {{Monzo| 2 2 -1 -1 }}
| 48.77
| [[Mike Battaglia]] (2012)
|-
| 37-7/5-comma
| Thiseruyo
| 37ry-23
|
| {{Monzo| 18 0 37 -37 }}
| 47.049
|
|-
| 5-21-comma
| Saquinru
| s5r-2
| 4194304 / 4084101
| {{Monzo| 22 -5 0 -5 }}
| 46.095
|
|-
| [[Nonary comma]]
| Saquinbiru-agugu
| s10ragg-4
| 7247757312 / 7061881225
| {{Monzo| 28 3 -2 -10 }}
| 44.98
| [[User:Fitzgerald Lee|Fitzgerald Lee]] (2024)
|-
| [[Cloudy comma]]
| Laquinzo
| L5z3
| 16807 / 16384
| {{Monzo| -14 0 0 5 }}
| 44.13
| [[User:Flirora|+merlan #flirora]] (2021)
|-
| [[525/512|Avicennma]], Avicenna's enharmonic diesis
| Lazoyoyo
| Lzyy1
| 525 / 512
| {{Monzo| -9 1 2 1 }}
| 43.408
|
|-
| [[Skwares comma]]
| Laquadru
| L4r-3
| 19683 / 19208
| {{monzo| -3 9 0 -4 }}
| 42.291
|
|-
| [[2240/2187|Septimal inframinor second]]
| Sazoyo
| szy2
| 2240 / 2187
| {{monzo| 6 -7 1 1 }}
| 41.456
| [[User:FloraC|FloraC]] (2023)
|-
| [[Septimal octatonic comma]]
| Lala-quadbizoyo
| LL8zy2
| 2251875390625 / <br>2199023255552
| {{monzo| -41 0 8 8 }}
| 41.117
| [[User:ArrowHead294|ArrowHead294]] (2024)
|-
| [[Mabilisma]]
| Latrizo-aquinyo
| L3za5y1
| 1071875 / 1048576
| {{Monzo| -20 0 5 3 }}
| 38.046
|
|-
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| zz2
| 49 / 48
| {{Monzo| -4 -1 0 2 }}
| 35.697
|
|-
| [[15625/15309|Arcturus comma]]
| Larutribiyo
| Lr6y-2
| 15625 / 15309
| {{Monzo| 0 -7 6 -1 }}
| 35.371
|
|-
| [[50/49|Jubilisma]], small septimal diesis, tritonic diesis
| Biruyo
| 2ry-2
| 50 / 49
| {{Monzo| 1 0 2 -2 }}
| 34.976
|
|-
| Eric
| Sepru
| 7r-4
| 839808 / 823543
| {{Monzo| 7 8 0 -7 }}
| 33.859
|
|-
| German sixth comma
| Quadla-thiwezo
| 4L31z12
|
| {{Monzo| -87 0 0 31 }}
| 33.603
|
|-
| [[Llywelynsma]], llywelyn comma
| Sasepru-agu
| s7rag-3
| 4194304 / 4117715
| {{Monzo| 22 0 -1 -7 }}
| 31.905
| [[User:Flirora|+merlan #flirora]] (2021)
|-
| 23-35-comma
| Sepsa-twetherugu
| 7s23rg-3
|
| {{Monzo| 118 0 -23 -23 }}
| 31.789
|
|}
|}


===Often considered [[11-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
! [[Cent]]s
! Named by
|-
| [[128/121|Axirabian limma]]
| Lulubi
| 1uu2
| 128 / 121
| {{monzo| 7 0 0 0 -2 }}
| 97.364
| [[Dawson Berry]] (2021)
|-
| 11-cycle major seventh prote, 35-11-comma
| Quinla-sepquinlo
| 5L35(1o)-8
|
| {{monzo| -121 0 0 0 35 }}
| 96.128
|
|-
| [[22/21|Undecimal minor semitone]]
| Loru
| 1or1
| 22 / 21
| {{monzo| 1 -1 0 -1 1 }}
| 80.537
|
|-
| [[847/810|Wormwoodma]]
| Lolozogu
| 1oozg2
| 847 / 810
| {{monzo| -1 -4 -1 1 2 }}
| 77.328
| [[User:Jerdle|Jerdle]] (2023)
|-
| 11-cycle chroma, 11-11-comma
| Lala-lelo
| LL11(1o)-3
| 285311670611 / 274877906944
| {{monzo| -38 0 0 0 11 }}
| 64.497
|
|-
| [[729/704|Undecimal major diesis]]
| Lalu
| L1u1
| 729 / 704
| {{monzo| -6 6 0 0 -1 }}
| 60.412
|
|-
| [[125/121|Jug comma]]
| Lulutrityo
| 1uu3y1
| 125 / 121
| {{monzo| 0 0 3 0 -2 }}
| 56.305
| [[CompactStar]] (2024)
|-
|-
| undecimal 1/4-tone, al-Farabi's 1/4-tone
| [[33/32|Io comma]], undecimal quartertone, al-Farabi quartertone
| Ilo
| Ilo
| 1o1
| 1o1
| 33 / 32
| 33 / 32
|{{monzo| -5 1 0 0 1 }}
| {{monzo| -5 1 0 0 1 }}
| 53.273
| 53.273
| [[CompactStar]] (2024) for ''io comma''
|-
|-
| sterno
| [[567/550|25·11/7 medium diesis]]
| Luzogugu
| 1uzgg2
| 567 / 550
| {{monzo| -1 4 -2 1 -1 }}
| 52.701
| [[Douglas Blumeyer]] (2024)
|-
| [[Twinprimisma]]
| Salelo-asepru-aquingu
| s11(1o)7ra5g5
| 285311670611 / 277945762500
| {{Monzo|-2 -3 -5 -7 11}}
| 45.282
| [[User:原井玉葱郎|Misohito Nakai]] (2025)
|-
| [[352/343|Sterno]]
| Lotriru
| Lotriru
| 1or<sup>3</sup>-2
| 1o3r-2
| 352 / 343
| 352 / 343
|{{monzo| 5 0 0 -3 1 }}
| {{monzo| 5 0 0 -3 1 }}
| 44.84
| 44.84
|
|-
|-
| undecimal 1/5-tone
| [[4096/3993|Alpharabian paralimma]]
| Satrilu
| s3(1u)2
| 4096 / 3993
| {{monzo| 12 -1 0 0 -3 }}
| 44.091
| [[Dawson Berry]] (2021)
|-
| [[Nokotan]], <br>Shikanokonokonokokoshitantanma
| Luzoquinyo
| 1uz5y1
| 21875 / 21384
| {{monzo| -3 -5 5 1 -1 }}
| 39.302
| [[Budjarn Lambeth]] (2024, short name) <br>[[User:R-4981|R-4981]] (2024, long name)
|-
| [[45/44|Undecimal 1/5-tone]], cake comma
| Luyo
| Luyo
| 1uy1
| 1uy1
| 45 / 44
| 45 / 44
|{{monzo| -2 2 1 0 -1 }}
| {{monzo| -2 2 1 0 -1 }}
| 38.906
| 38.906
|
|-
|-
| Hunt flat 5 comma
| Hunt flat 5 comma
Line 679: Line 942:
| s1u2
| s1u2
| 8192 / 8019
| 8192 / 8019
|{{monzo| 13 -6 0 0 -1 }}
| {{monzo| 13 -6 0 0 -1 }}
| 36.952
| 36.952
|
|-
|-
| the Igs boson, 13-11-comma
| [[45927/45056|11/7 comma]]
| Laluzo
| L1uz1
| 45927 / 45056
| {{monzo| -12 8 0 1 -1 }}
| 33.148
| [[Douglas Blumeyer]] (2024)
|-
| Igs boson, 13-11-comma
| Sasa-thelu
| Sasa-thelu
| ss1u<sup>13</sup>4
| ss13(1u)4
| 35184372088832 / 34522712143931
| {{monzo| 45 0 0 0 -13 }}
| 32.867
|  
|  
|{{monzo| 45 0 0 0 -13 }}
| 32.867
|-
|-
| telepathma
| [[55/54|Telepathma]]
| Loyo
| Loyo
| 1oy1
| 1oy1
| 55 / 54
| 55 / 54
|{{monzo| -1 -3 1 0 1 }}
| {{monzo| -1 -3 1 0 1 }}
| 31.767
| 31.767
| [[Gene Ward Smith]] (2014)
|-
|-
| Hunt 11-cycle comma
| Hunt 11-cycle comma
| Trila-quadtribilo
| Trila-quadtribilo
| 3L24(1o)-6
|  
|  
| {{monzo| -83 0 0 0 24 }}
| 31.631
|  
|  
|{{monzo| -83 0 0 0 24 }}
| 31.631
|-
|-
| undecimal diesis
| [[56/55|Undecimal diesis]], konbini comma
| Luzogu
| Luzogu
| 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)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! [[Ratio]]
! Monzo
! [[Monzo]]
! Cents
! [[Cent]]s
! Named by
|-
|-
| 11-cycle major seventh prote, 35-11-comma
| [[55/52]]
| Quinla-sepquinlo
| Thuloyo
| 3u1oy1
| 55 / 52
| {{monzo| -2 0 1 0 1 -1 }}
| 97.104
|  
|  
|-
| [[26/25|Large tridecimal 1/3-tone]]
| Thogugu
| 3ogg2
| 26 / 25
| {{monzo| 1 0 -2 0 0 1 }}
| 67.900
|  
|  
|{{monzo| -121 0 0 0 35 }}
| 96.128
|-
|-
| undecimal minor semitone
| [[27/26|Small tridecimal 1/3-tone]]
| Loru
| Thu
| 1or1
| 3u1
| 22 / 21
| 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
| [[65/63|Radius of tolerance (FJS)]]
| Lala-lelo
| Thoruyo
| LL1o<sup>11</sup>-3
| 3ory1
| 65 / 63
| {{monzo| 0 -2 1 -1 0 1 }}
| 54.105
|  
|  
|{{monzo| -38 0 0 0 11 }}
| 64.497
|-
|-
| lalu unison
| [[1053/1024|Superflat comma, tridecimal quartertone]], <br>Hunt minor submediant comma
| 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
| 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
| [[Flora Canou]] (2020) for ''tridecimal quartertone'' <br>[[User:CompactStar|CompactStar]] (2023) for ''superflat comma''
|-
|-
| tridecimal minor diesis
| [[Tridecimal ennealimma]]
| Tritritho
| 9(3o)3
| 10604499373 / 10319560704
| {{monzo| -19 -9 0 0 0 9 }}
| 47.154
| [[User:ArrowHead294|ArrowHead294]] (2024)
|-
| [[416/405]]
| Thogu
| 3og2
| 416 / 405
| {{monzo| 5 -4 -1 0 0 1 }}
| 46.394
|
|-
| [[40/39|Tridecimal minor diesis]]
| Thuyo
| Thuyo
| 3uy1
| 3uy1
| 40 / 39
| 40 / 39
|{{monzo| 3 -1 1 0 0 -1 }}
| {{monzo| 3 -1 1 0 0 -1 }}
| 43.831
| 43.831
|
|-
|-
| astburyp
| [[351/343|Keladisma]]
| Thotriru
| 3o3r-2
| 351/343
| {{monzo| 0 3 0 -3 0 1 }}
| 39.915
| [[User:Lériendil|Lériendil]] (2024)
|-
| Astbury
| Latribitho
| Latribitho
| L3o<sup>6</sup>2
| L6(3o)2
|  
| 4826809 / 4718592
|{{monzo| -19 -2 0 0 0 6 }}
| {{monzo| -19 -2 0 0 0 6 }}
| 39.256
| 39.256
| [[Peter Kosmorsky]] (2012)
|-
| [[1701/1664|13/7 small diesis]]
| Lathuzo
| L3uz1
| 1701 / 1664
| {{monzo| -7 5 0 1 0 -1 }}
| 38.073
| [[Douglas Blumeyer]] (2024)
|}
|}
===Often not considered [[13-limit commas]]===
 
=== 17-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
! [[Cent]]s
! Named by
|-
| [[18/17|Small septendecimal semitone]], Arabic lute index finger
| Su
| 17u1
| 18 / 17
| {{monzo| 1 2 0 0 0 0 -1 }}
| 98.955
|
|-
|-
| large tridecimal 1/3-tone
| [[88/85|Septendecimal ~20edo-step]]
| Thogugu
| Sulogu
| 3ogg2
| 17u1og1
|[[26/25|26 / 25]]
| 88 / 85
|{{monzo| 1 0 -2 0 0 1 }}
| {{monzo| 3 0 -1 0 1 0 -1 }}
| 67.9
| 60.049
| [[Budjarn Lambeth]] (2024)
|-
|-
| small tridecimal 1/3-tone
| 12 semitone comma
| Thu
| Lala-quadtriso
| 3u1
| LL12(17o)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
| [[34/33|Large septendecimal quartertone]]
| Solu
| Solu
| 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
| [[Flora Canou]] (2021)
|-
|-
| small septendecimal 1/4-tone
| [[35/34|Small septendecimal quartertone]]
| Suzoyo
| Suzoyo
| 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
| [[Flora Canou]] (2021)
|-
|-
| 11 semitone comma
| 11 semitone comma
| Sasa-lesu
| Sasa-lesu
| ss17u<sup>11</sup>-5
| ss11(17u)-5
| 35184372088832 / 34271896307633
| {{monzo| 45 0 0 0 0 0 -11 }}
| 45.49
|  
|  
|{{monzo| 45 0 0 0 0 0 -11 }}
| 45.49
|-
|-
| large septendecimal 1/6-tone, 17th-partial chroma
| [[51/50|Large septendecimal 1/6-tone]], 17th-partial chroma
| Sogugu
| Sogugu
| 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
| [[Flora Canou]] (2023)
|-
|-
| small septendecimal 1/6-tone
| [[52/51|Small septendecimal 1/6-tone]]
| Sutho
| Sutho
| 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
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| Hunt 17-cycle comma
| Hunt 17-cycle comma
| Quinsa-sebisu
| 5s34(17u)-14
|
|
|
| {{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)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! [[Ratio]]
! Monzo
! [[Monzo]]
! Cents
! [[Cent]]s
! Named by
|-
|-
| small septendeciml semitone, Arabic lute index finger
| [[19/18|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
| [[User:Xenllium|Xenllium]] (2019)
|-
|-
| 12 semitone comma
| [[20/19|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
|}
| [[User:Xenllium|Xenllium]] (2019)
 
===Often considered [[19-limit commas]]===
{| class="wikitable"
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! Ratio
! Monzo
! Cents
|-
|-
| nutho unison
| [[39/38|Undevicesimal diesis]], undevicesimal 2/9-tone
| Nutho
| Nutho
| 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
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| noru unison
| [[57/56|Hendrix comma]]
| Noru
| Noru
| 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]]
=== 23-limit commas ===
[[Category:Medium commas| ]]
===Often not considered [[19-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]]
! [[Monzo]]
! [[Cent]]s
! Named by
|-
| [[23/22|Large vicesimotertial semitone]]
| Twetholu
| 23o1u2
| 23 / 22
| 2.11.23 {{monzo| -1 -1 1 }}
| 76.956
| [[Xenwolf]] (2020)
|-
| [[24/23|Small vicesimotertial semitone]]
| Twethu
| 23u1
| 24 / 23
| 2.3.23 {{monzo| 3 1 -1 }}
| 73.681
| [[Xenwolf]] (2020)
|-
| [[299/289|Undecimisma]]
| Twethosusutho
| 23o17uu3o1
| 299 / 289
| 13.17.23 {{monzo| 1 -2 1 }}
| 58.891
| [[User:Inisil|Inisil]] (2024)
|-
| [[2187/2116|Lipsett comma]]
| Labitwethu
| L23uu-2
| 2187 / 2116
| 2.3.23 {{monzo| -2 7 -2 }}
| 57.136
| [[Budjarn Lambeth]] (2024)
|-
| [[46/45|Vicesimotertial 1/5-tone]]
| Twethogu
| 23og2
| 46 / 45
| 2.3.5.23 {{monzo| 1 -2 -1 1 }}
| 38.051
| [[User:Flirora|Flirora]] (2023)
|}
=== Higher-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
! Named by
|-
| [[41/39]]
| Fowothu
| 41o3u1
| 41 / 39
| 3.13.41 {{monzo| -1 -1 1 }}
| 86.580
|
|-
| [[32/31|Octave-reduced 31st subharmonic]]
| Thiwu
| 31u2
| 32 / 31
| 2.31 {{monzo| 5 -1 }}
| 54.964
|
|-
| [[752/729|47-limit ~quartertone comma]]
| Safoso
| s47o2
| 752 / 729
| 2.3.47 {{monzo| 4 -6 1 }}
| 53.777
| [[Stephen Weigel]] (2023)
|-
| [[37/36|37-limit Wyschnegradsky ~quartertone]]
| Thiso
| 37o2
| 37 / 36
| 2.3.37 {{monzo| -2 -2 1 }}
| 47.434
| [[Stephen Weigel]] (2023)
|-
| [[729/712|Oxidizer comma]]
|
|
| 729 / 712
| 2.3.89 {{monzo| -3 6 -1 }}
| 40.850
| [[Budjarn Lambeth]] (2023)
|-
| [[43/42]]
| Fothoru
| 43or1
| 43 / 42
| 2.3.7.43 {{monzo| -1 -1 -1 1 }}
| 40.737
|
|-
| [[Lutra comma]]
| Latrithiwo
| L3(31o)-3
| 268119 / 262144
| 2.3.31 {{monzo| -18 2 3 }}
| 39.017
| [[Budjarn Lambeth]] (2024)
|-
|-
| large undevicesimal semitone
| [[1000/979|Canine comma]]
| Ino
|
| 19o2
|
| 19 / 18
| 1000 / 979
|{{monzo| -1 -2 0 0 0 0 0 1 }}
| 2.5.11.89 {{monzo| 3 3 -1 -1 }}
| 93.603
| 36.743
| [[Budjarn Lambeth]] (2023)
|-
| [[48/47|47th-partial chroma]]
| Fosu
| 47u1
| 48 / 47
| 2.3.47 {{monzo| 4 1 -1 }}
| 36.448
|
|-
| [[248/243|Tricesimoprimal comma]]
| Sathiwo
| s31o1
| 248 / 243
| 2.3.31 {{monzo| 3 -5 1 }}
| 35.261
|
|-
| [[261/256|Vicesimononal comma]]
| Tweno
| 29o1
| 261 / 256
| 2.3.29 {{monzo| -8 2 1 }}
| 33.487
| [[Stephen Weigel]] (2023)
|-
| [[7921/7776|Attic comma]]
|
|
| 7921 / 7776
| 2.3.89 {{monzo| -5 -5 2 }}
| 31.985
| [[Budjarn Lambeth]] (2023)
|-
| [[58/57|Vicesimononal 1/7-tone]]
| Twenonu
| 29o19u1
| 58 / 57
| 2.3.19.29 {{monzo| 1 -1 -1 1 }}
| 30.109
|
|}
 
== List of irrational commas ==
For intervals expressible as edosteps, see [[Interval size measure]]. We skip them here for brevity.
 
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
|-
| small undevicesimal semitone
| [[Engineer's comma]]
| Nuyo
|  
| 19uy1
|  
| 20 / 19
| π / 3
|{{monzo| 2 0 1 0 0 0 0 -1 }}
|  
| 88.801
| 79.840
| [[Eliora]] (2022)
|}
|}


[[Category:Commas]]
== Notes ==
[[Category:Medium commas| ]]
 
<!-- main article -->
[[Category:Medium commas| ]] <!-- main article -->
[[Category:Lists of commas]]
{{todo|complete table|add color name}}
<references />