Medium comma: Difference between revisions

Update and prefer "comma names" to "interval names" of each comma
m 13-limit commas: corrected a typo in Monzo
 
(133 intermediate revisions by 11 users not shown)
Line 1: Line 1:
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]].


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.
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.


== List of commas, by prime limit ==
== List of commas, by prime limit ==
Line 15: Line 17:
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Named by
|-
|-
| [[256/243|limma, Pythagorean minor second]]
| [[256/243|Pythagorean limma]], blackwood comma
| Sawa
| Sawa
| sw2
| sw2
Line 22: Line 25:
| {{monzo| 8 -5 }}
| {{monzo| 8 -5 }}
| 90.225
| 90.225
|
|-
|-
| 301-comma
| 301-comma
Line 29: Line 33:
| {{monzo| -477 301 }}
| {{monzo| -477 301 }}
| 88.455
| 88.455
|
|-
|-
| 248-comma
| 248-comma
Line 36: Line 41:
| {{monzo| -393 248 }}
| {{monzo| -393 248 }}
| 84.840
| 84.840
|
|-
|-
| 111-comma
| 111-comma
Line 43: Line 49:
| {{monzo| 176 -111 }}
| {{monzo| 176 -111 }}
| 82.995
| 82.995
|
|-
|-
| 142-comma
| 142-comma
Line 50: Line 57:
| {{monzo| -225 142 }}
| {{monzo| -225 142 }}
| 77.610
| 77.610
|
|-
|-
| 217-comma
| 217-comma
Line 57: Line 65:
| {{monzo| 344 -217 }}
| {{monzo| 344 -217 }}
| 75.765
| 75.765
|
|-
|-
| 89-comma
| 89-comma
Line 64: Line 73:
| {{monzo| -141 89 }}
| {{monzo| -141 89 }}
| 73.995
| 73.995
|
|-
|-
| [[17-comma]]
| [[Gothic comma]], Pythagorean gothma, 17-comma
| Wa-17
| Wa-17
| ssw3
| ssw3
Line 71: Line 81:
| {{monzo| 27 -17 }}
| {{monzo| 27 -17 }}
| 66.765
| 66.765
| [[Flora Canou]] (2023) for ''Pyth. gothma'' and ''gothic comma''
|-
|-
| 289-comma
| 289-comma
Line 78: Line 89:
| {{monzo| -458 289 }}
| {{monzo| -458 289 }}
| 64.995
| 64.995
|
|-
|-
| 70-comma
| 70-comma
Line 85: Line 97:
| {{monzo| 111 -70 }}
| {{monzo| 111 -70 }}
| 63.150
| 63.150
|
|-
|-
| 183-comma
| 183-comma
Line 92: Line 105:
| {{monzo| -290 183 }}
| {{monzo| -290 183 }}
| 57.765
| 57.765
|
|-
|-
| 176-comma
| 176-comma
Line 99: Line 113:
| {{monzo| 279 -176 }}
| {{monzo| 279 -176 }}
| 55.920
| 55.920
|
|-
|-
| 229-comma
| 229-comma
Line 106: Line 121:
| {{monzo| 363 -229 }}
| {{monzo| 363 -229 }}
| 52.305
| 52.305
|
|-
|-
| 77-comma
| 77-comma
Line 113: Line 129:
| {{monzo| -122 77 }}
| {{monzo| -122 77 }}
| 50.535
| 50.535
|
|-
|-
| [[29-comma]]
| [[Mystery comma]], 29-comma
| Wa-29
| Wa-29
| w-29
| w-29
Line 120: Line 137:
| {{monzo| 46 -29 }}
| {{monzo| 46 -29 }}
| 43.305
| 43.305
|
|-
|-
| 277-comma
| 277-comma
Line 127: Line 145:
| {{monzo| -439 277 }}
| {{monzo| -439 277 }}
| 41.535
| 41.535
|
|-
|-
| 224-comma
| 224-comma
Line 134: Line 153:
| {{monzo| -355 224 }}
| {{monzo| -355 224 }}
| 37.920
| 37.920
|
|-
|-
| 135-comma
| 135-comma
Line 141: Line 161:
| {{monzo| 214 -135 }}
| {{monzo| 214 -135 }}
| 36.075
| 36.075
|
|-
|-
| 171-comma
| 171-comma
Line 148: Line 169:
| {{monzo| -271 171 }}
| {{monzo| -271 171 }}
| 34.305
| 34.305
|
|-
|-
| 118-comma
| 118-comma
Line 155: Line 177:
| {{monzo| -187 118 }}
| {{monzo| -187 118 }}
| 30.690
| 30.690
|
|}
|}


Line 165: Line 188:
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Named by
|-
|-
| hogzilla
| Hogzilla comma
| Lala-yoyo
| Lala-yoyo
| LLyy-2
| LLyy-2
| 4428675 / 4194304
| 4428675 / 4194304
| {{monzo| -22 11 2 }}
| {{Monzo| -22 11 2 }}
| 94.132
| 94.132
|
|-
|-
| [[135/128|pelogic comma]], major chroma
| [[135/128|Mavila comma]], major chroma
| Layobi
| Layobi
| Ly1
| Ly1
| 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
| 8388608 / 7971615
| {{monzo| 23 -13 -1 }}
| {{Monzo| 23 -13 -1 }}
| 88.271
| 88.271
|
|-
|-
| bohpier, [[13edt]] comma
| Bohpier comma, [[13edt]] comma
| Satheyo
| Satheyo
| sy<sup>13</sup>-2
| s13y-2
| 1220703125 / 1162261467
| 1220703125 / 1162261467
| {{monzo| 0 -19 13 }}
| {{Monzo| 0 -19 13 }}
| 84.933
| 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
| 390625 / 373248
| {{monzo| -9 -6 8 }}
| {{Monzo| -9 -6 8 }}
| 78.78
| 78.78
|
|-
|-
| sevond
| Sevond comma
| Sasepyo
| Sasepyo
| sy<sup>7</sup>1
| s7y1
| 5000000 / 4782969
| 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
| 51018336 / 48828125
| {{monzo| 5 13 -11 }}
| {{Monzo| 5 13 -11 }}
| 75.964
| 75.964
|
|-
|-
| sentinel
| Sentinel comma
| Trila-quadyo
| Trila-quadyo
| L<sup>3</sup>y<sup>4</sup>-3
| 3L4y-3
| 8968066875 / 8589934592
| 8968066875 / 8589934592
| {{monzo| -33 15 4 }}
| {{Monzo| -33 15 4 }}
| 74.580
| 74.580
|
|-
| [[Hypovishnuzma]]
| Saquadtrigu
| s12g4
| 254803968 / 244140625
| {{Monzo| 20 5 -12 }}
| 74.010
| [[ArrowHead294]] (2024)
|-
|-
| stump
| Stump comma
| Latriyo
| Latriyo
| Ly<sup>3</sup>-2
| L3y-2
| 273375 / 262144
| 273375 / 262144
| {{monzo| -18 7 3 }}
| {{Monzo| -18 7 3 }}
| 72.626
| 72.626
|
|-
|-
| [[25/24|dicot comma]], classic(al) chroma
| [[25/24|Dicot comma]], classic(al) chroma
| Yoyo
| Yoyo
| yy1
| yy1
| 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
|
|-
|-
| [[648/625|diminished comma]], major diesis
| [[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
| 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
| 1953125 / 1889568
| {{monzo| -5 -10 9 }}
| {{Monzo| -5 -10 9 }}
| 57.273
| 57.273
| [[Paul Erlich]] (2002)
|-
|-
| mynic
| Mynic comma
| Quinbigu
| Quinbigu
| g<sup>10</sup>3
| 10g3
| 10077696 / 9765625
| 10077696 / 9765625
| {{monzo| 9 9 -10 }}
| {{Monzo| 9 9 -10 }}
| 54.458
| 54.458
|
|-
|-
| tritonic
| Tritonic comma
| Lala-quinyo
| Lala-quinyo
| LLy<sup>5</sup>-3
| LL5y-3
| 553584375 / 536870912
| 553584375 / 536870912
| {{monzo| -29 11 5 }}
| {{Monzo| -29 11 5 }}
| 53.074
| 53.074
|
|-
|-
| [[negri comma]], double augmentation diesis
| [[Magus comma]]
| Salegu
| s11g4
| 50331648 / 48828125
| {{Monzo| 24 1 -11 }}
| 52.504
| [[ArrowHead294]] (2024)
|-
| [[Negri comma]], double augmentation diesis
| Laquadyo
| Laquadyo
| Ly<sup>4</sup>-2
| L4y-2
| 16875 / 16384
| 16875 / 16384
| {{monzo| -14 3 4 }}
| {{Monzo| -14 3 4 }}
| 51.120
| 51.120
| [[Paul Erlich]] (2002)
|-
|-
| [[250/243|porcupine comma]], maximal diesis
| [[Goldis comma]]
| Trisa-quadtrigu
| 3s12g5
| 549755813888 / 533935546875
| {{Monzo| 39 -7 -12 }}
| 50.550
| [[Userminusone]] (2021)
|-
| [[250/243|Porcupine comma]], maximal diesis
| Triyo
| Triyo
| y<sup>3</sup>1
| 3y1
| 250 / 243
| 250 / 243
| {{monzo| 1 -5 3 }}
| {{Monzo| 1 -5 3 }}
| 49.166
| 49.166
| [[Herman Miller]] (1999)
|-
|-
| mowgli, [[15edt]] comma
| Mowgli comma, [[15edt]] comma
| Laquintrigu
| Laquintrigu
| Lg<sup>15</sup>3
| L15g3
| 31381059609 / 30517578125
| 31381059609 / <br>30517578125
| {{monzo| 0 22 -15 }}
| {{Monzo| 0 22 -15 }}
| 48.304
| 48.304
|
|-
|-
| immunity
| [[Immunity comma]]
| Sasa-yoyo
| Sasa-yoyo
| ssyy2
| ssyy2
| 1638400 / 1594323
| 1638400 / 1594323
| {{monzo| 16 -13 2 }}
| {{Monzo| 16 -13 2 }}
| 47.212
| 47.212
| [[Mike Battaglia]] (2011)
|-
|-
| lalagu comma
| [[Python comma]]
| Lalagu
| Lalagu
| LLg-2
| LLg-2
| 43046721 / 41943040
| 43046721 / 41943040
| {{monzo| -23 16 -1 }}
| {{Monzo| -23 16 -1 }}
| 44.966
| 44.966
| [[CompactStar]] (2023)
|-
|-
| [[128/125|augmented comma]], diesis
| [[128/125|Augmented comma]], diesis
| Trigu
| Trigu
| g<sup>3</sup>2
| 3g2
| 128 / 125
| 128 / 125
| {{monzo| 7 0 -3 }}
| {{Monzo| 7 0 -3 }}
| 41.059
| 41.059
| [[Paul Erlich]], [[Carl Lumma]] (2002)
|-
|-
| wizard
| Wizard comma
| Lala-quadtriyo
| Lala-quadtriyo
| LLy<sup>12</sup>-4
| LL12y-4
| 2197265625 / 2147483648
| 2197265625 / 2147483648
| {{monzo| -31 2 12 }}
| {{Monzo| -31 2 12 }}
| 39.675
| 39.675
|
|-
|-
| [[sycamore comma]]
| [[Sycamore comma]]
| Laleyo
| Laleyo
| Ly<sup>11</sup>-3
| L11y-3
| 48828125 / 47775744
| 48828125 / 47775744
| {{monzo| -16 -6 11 }}
| {{Monzo| -16 -6 11 }}
| 37.721
| 37.721
| [[Paul Erlich]] (2002)
|-
|-
| absurdity
| Absurdity comma
| Lala-sepgu
| Lala-sepgu
| LLg<sup>7</sup>1
| LL7g1
| 10460353203 / 10240000000
| 10460353203 / <br>10240000000
| {{monzo| -17 21 -7 }}
| {{Monzo| -17 21 -7 }}
| 36.859
| 36.859
| [[Mike Battaglia]] (2011)
|-
|-
| fifive
| Fifive comma
| Saquinbiyo
| Saquinbiyo
| sy<sup>10</sup>-2
| s10y-2
| 9765625 / 9565938
| 9765625 / 9565938
| {{monzo| -1 -14 10 }}
| {{Monzo| -1 -14 10 }}
| 35.767
| 35.767
| [[Petr Pařízek]] (2011)
|-
|-
| unicorn
| [[Unicorn comma]]
| Laquadbigu
| Laquadbigu
| Lg<sup>8</sup>2
| L8g2
| 1594323 / 1562500
| 1594323 / 1562500
| {{monzo| -2 13 -8 }}
| {{Monzo| -2 13 -8 }}
| 34.905
| 34.905
| [[Paul Erlich]] (2002)
|-
|-
| valentine comma
| [[Valentine comma]]
| Satritrigu
| Satritrigu
| sg<sup>9</sup>3
| s9g3
| 1990656 / 1953125
| 1990656 / 1953125
| {{monzo| 13 5 -9 }}
| {{Monzo| 13 5 -9 }}
| 32.952
| 32.952
| [[Paul Erlich]] (2002)
|-
| [[Aenima comma]]
| Trisa-quadbiyo
| 3s8y2
| 209715200000000 / 205891132094649
| {{Monzo| 29 -30 8 }}
| 31.860
| [[Douglas Blumeyer]] (2023)
|-
|-
| [[ampersand]], Ampersand's comma
| [[Ampersand comma]], Ampersand's comma
| Lala-tribiyo
| Lala-tribiyo
| LLy<sup>6</sup>-3
| LL6y-3
| 34171875 / 33554432
| 34171875 / 33554432
| {{monzo| -25 7 6 }}
| {{Monzo| -25 7 6 }}
| 31.567
| 31.567
|
|-
|-
| mabila comma
| Mabila comma
| Sasa-quinbigu
| Sasa-quinbigu
| ssg<sup>10</sup>4
| ss10g4
| 268435456 / 263671875
| 268435456 / 263671875
| {{monzo| 28 -3 -10 }}
| {{Monzo| 28 -3 -10 }}
| 30.998
| 30.998
|
|}
|}


Line 391: Line 486:
! [[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
| 35184372088832 / 33232930569601
| {{monzo| 45 0 0 -16 }}
| {{Monzo| 45 0 0 -16 }}
| 98.785
| 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
|
|-
|-
| [[21/20|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
|
|-
|-
| [[392/375|prograde comma]], ed7/4 microdiatonic comma
| [[392/375|Prograde comma]], ed7/4 microdiatonic comma
| Zozotrigu
| Zozotrigu
| zzg<sup>3</sup>3
| zz3g3
| 392 / 375
| 392 / 375
| {{monzo| 3 -1 -3 2 }}
| {{Monzo| 3 -1 -3 2 }}
| 76.756
| 76.756
| [[User:OffsuitKnave|OffsuitKnave]] (2022)
|-
|-
| [[256/245|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>{{clarify}}
| <strike>slendro integer cents comma</strike>{{clarify}}
Line 473: Line 588:
|
|
|
|
| {{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
|
|-
|-
| [[28/27|trienstonic comma]], septimal third-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 }}
| {{monzo| -15 0 -31 31 }}
| 57.878
| 57.878
|
|-
| [[1323/1280|Septimal 2/7-tone]]
| Lazozogu
| Lzzg2
| 1323 / 1280
| {{Monzo| -8 3 -1 2 }}
| 57.203
| [[Eliora]] (2022)
|-
|-
| greenwoodma
| [[405/392|Greenwoodma]]
| Ruruyo
| Ruruyo
| rry-2
| rry-2
| 405 / 392
| 405 / 392
| {{monzo| -3 4 1 -2 }}
| {{Monzo| -3 4 1 -2 }}
| 56.482
| 56.482
| [[Francium]] (2023)
|-
|-
| 21-7-comma
| 21-7-comma
| Trisa-septriru
| Trisa-septriru
|
| 3s21r-8
| 576460752303423488 / 558545864083284007
| <abbr title="576460752303423488 / 558545864083284007">(36 digits)</abbr>
| {{monzo| 59 0 0 -21 }}
| {{Monzo| 59 0 0 -21 }}
| 54.656
| 54.656
|
|-
|-
| [[59049/57344|Harrison's comma]]
| [[59049/57344|Harrison's comma]]
Line 522: Line 660:
| Lr-2
| Lr-2
| 59049 / 57344
| 59049 / 57344
| {{monzo| -13 10 0 -1 }}
| {{Monzo| -13 10 0 -1 }}
| 50.724
| 50.724
|
|-
|-
| 39-35-comma
| 39-35-comma
| Lela-thetrizoyo
| Lela-thetrizoyo
| 11L39zy5
|
|
|
| {{Monzo| -200 0 39 39 }}
| {{monzo| -200 0 39 39 }}
| 50.445
| 50.445
|
|-
|-
| keega
| [[1029/1000|Keega]]
| Trizogu
| Trizogu
| z<sup>3</sup>g<sup>3</sup>3
| 3zg3
| 1029 / 1000
| 1029 / 1000
| {{monzo| -3 1 -3 3 }}
| {{Monzo| -3 1 -3 3 }}
| 49.492
| 49.492
| [[Gene Ward Smith]] (2005)
|-
|-
| [[36/35|mint comma]], septimal 1/4-tone
| [[36/35|Mint comma]], septimal quartertone
| Rugu
| Rugu
| rg1
| rg1
| 36 / 35
| 36 / 35
| {{monzo| 2 2 -1 -1 }}
| {{Monzo| 2 2 -1 -1 }}
| 48.77
| 48.77
| [[Mike Battaglia]] (2012)
|-
|-
| 37-7/5-comma
| 37-7/5-comma
| Thiseruyo
| Thiseruyo
| 37ry-23
|
|
|
| {{Monzo| 18 0 37 -37 }}
| {{monzo| 18 0 37 -37 }}
| 47.049
| 47.049
|
|-
|-
| 5-21-comma
| 5-21-comma
| Saquinru
| Saquinru
| sr<sup>5</sup>-2
| s5r-2
| 4194304 / 4084101
| 4194304 / 4084101
| {{monzo| 22 -5 0 -5 }}
| {{Monzo| 22 -5 0 -5 }}
| 46.095
| 46.095
|
|-
| [[Nonary comma]]
| Saquinbiru-agugu
| s10ragg-4
| 7247757312 / 7061881225
| {{Monzo| 28 3 -2 -10 }}
| 44.98
| [[User:Fitzgerald Lee|Fitzgerald Lee]] (2024)
|-
|-
| cloudy
| [[Cloudy comma]]
| Laquinzo
| Laquinzo
| Lz<sup>5</sup>3
| L5z3
| 16807 / 16384
| 16807 / 16384
| {{monzo| -14 0 0 5 }}
| {{Monzo| -14 0 0 5 }}
| 44.13
| 44.13
| [[User:Flirora|+merlan #flirora]] (2021)
|-
|-
| avicennma, Avicenna's enharmonic diesis
| [[525/512|Avicennma]], Avicenna's enharmonic diesis
| Lazoyoyo
| Lazoyoyo
| Lzyy1
| Lzyy1
| 525 / 512
| 525 / 512
| {{monzo| -9 1 2 1 }}
| {{Monzo| -9 1 2 1 }}
| 43.408
| 43.408
|
|-
|-
| 8-35-comma
| [[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
| Lala-quadbizoyo
| LLz<sup>8</sup>y<sup>8</sup>2
| LL8zy2
| 2251875390625 / 2199023255552
| 2251875390625 / <br>2199023255552
| {{monzo| -41 0 8 8 }}
| {{monzo| -41 0 8 8 }}
| 41.117
| 41.117
| [[User:ArrowHead294|ArrowHead294]] (2024)
|-
|-
| [[mabilisma]]
| [[Mabilisma]]
| Latrizo-aquinyo
| Latrizo-aquinyo
| Lz<sup>3</sup>y<sup>5</sup>1
| L3za5y1
| 1071875 / 1048576
| 1071875 / 1048576
| {{monzo| -20 0 5 3 }}
| {{Monzo| -20 0 5 3 }}
| 38.046
| 38.046
|
|-
|-
| [[49/48|slendro diesis]]
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| Zozo
| zz2
| zz2
| 49 / 48
| 49 / 48
| {{monzo| -4 -1 0 2 }}
| {{Monzo| -4 -1 0 2 }}
| 35.697
| 35.697
|
|-
|-
| [[arcturus comma]]
| [[15625/15309|Arcturus comma]]
| Larutribiyo
| Larutribiyo
| Lry<sup>6</sup>-2
| Lr6y-2
| 15625 / 15309
| 15625 / 15309
| {{monzo| 0 -7 6 -1 }}
| {{Monzo| 0 -7 6 -1 }}
| 35.371
| 35.371
|
|-
|-
| [[50/49|jubilisma]], tritonic diesis
| [[50/49|Jubilisma]], small septimal diesis, tritonic diesis
| Biruyo
| Biruyo
| rryy-2
| 2ry-2
| 50 / 49
| 50 / 49
| {{monzo| 1 0 2 -2 }}
| {{Monzo| 1 0 2 -2 }}
| 34.976
| 34.976
|
|-
|-
| eric
| Eric
| Sepru
| Sepru
| r<sup>7</sup>-4
| 7r-4
| 839808 / 823543
| 839808 / 823543
| {{monzo| 7 8 0 -7 }}
| {{Monzo| 7 8 0 -7 }}
| 33.859
| 33.859
|
|-
|-
| German sixth comma
| German sixth comma
| Quadla-thiwezo
| Quadla-thiwezo
| 4L31z12
|
|
|
| {{Monzo| -87 0 0 31 }}
| {{monzo| -87 0 0 31 }}
| 33.603
| 33.603
|
|-
|-
| [[4194304/4117715|llywelyn comma]]
| [[Llywelynsma]], llywelyn comma
| Sasepru-agu
| Sasepru-agu
| sr<sup>7</sup>g-3
| s7rag-3
| 4194304 / 4117715
| 4194304 / 4117715
| {{monzo| 22 0 -1 -7 }}
| {{Monzo| 22 0 -1 -7 }}
| 31.905
| 31.905
| [[User:Flirora|+merlan #flirora]] (2021)
|-
|-
| 23-35-comma
| 23-35-comma
| Sepsa-twetherugu
| Sepsa-twetherugu
| 7s23rg-3
|
|
|
| {{Monzo| 118 0 -23 -23 }}
| {{monzo| 118 0 -23 -23 }}
| 31.789
| 31.789
|
|}
|}


Line 645: Line 824:
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[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
| 11-cycle major seventh prote, 35-11-comma
| Quinla-sepquinlo
| Quinla-sepquinlo
|  
| 5L35(1o)-8
|  
|  
| {{monzo| -121 0 0 0 35 }}
| {{monzo| -121 0 0 0 35 }}
| 96.128
| 96.128
|
|-
|-
| [[22/21|undecimal minor semitone]]
| [[22/21|Undecimal minor semitone]]
| Loru
| Loru
| 1or1
| 1or1
Line 659: Line 848:
| {{monzo| 1 -1 0 -1 1 }}
| {{monzo| 1 -1 0 -1 1 }}
| 80.537
| 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
| 11-cycle chroma, 11-11-comma
| Lala-lelo
| Lala-lelo
| LL1o<sup>11</sup>-3
| LL11(1o)-3
| 285311670611 / 274877906944
| 285311670611 / 274877906944
| {{monzo| -38 0 0 0 11 }}
| {{monzo| -38 0 0 0 11 }}
| 64.497
| 64.497
|
|-
|-
| [[729/704|undecimal major diesis]]
| [[729/704|Undecimal major diesis]]
| Lalu
| Lalu
| L1u1
| L1u1
Line 673: Line 872:
| {{monzo| -6 6 0 0 -1 }}
| {{monzo| -6 6 0 0 -1 }}
| 60.412
| 60.412
|
|-
|-
| [[33/32|undecimal 1/4-tone, al-Farabi's 1/4-tone]]
| [[125/121|Jug comma]]
| Lulutrityo
| 1uu3y1
| 125 / 121
| {{monzo| 0 0 3 0 -2 }}
| 56.305
| [[CompactStar]] (2024)
|-
| [[33/32|Io comma]], undecimal quartertone, al-Farabi quartertone
| Ilo
| Ilo
| 1o1
| 1o1
Line 680: Line 888:
| {{monzo| -5 1 0 0 1 }}
| {{monzo| -5 1 0 0 1 }}
| 53.273
| 53.273
| [[CompactStar]] (2024) for ''io comma''
|-
| [[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)
|-
|-
| sterno
| [[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
|
|-
|-
| [[45/44|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
Line 694: Line 936:
| {{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 701: Line 944:
| {{monzo| 13 -6 0 0 -1 }}
| {{monzo| 13 -6 0 0 -1 }}
| 36.952
| 36.952
|
|-
| [[45927/45056|11/7 comma]]
| Laluzo
| L1uz1
| 45927 / 45056
| {{monzo| -12 8 0 1 -1 }}
| 33.148
| [[Douglas Blumeyer]] (2024)
|-
|-
| the Igs boson, 13-11-comma
| Igs boson, 13-11-comma
| Sasa-thelu
| Sasa-thelu
| ss1u<sup>13</sup>4
| ss13(1u)4
| 35184372088832 / 34522712143931
| 35184372088832 / 34522712143931
| {{monzo| 45 0 0 0 -13 }}
| {{monzo| 45 0 0 0 -13 }}
| 32.867
| 32.867
|
|-
|-
| [[55/54|telepathma]]
| [[55/54|Telepathma]]
| Loyo
| Loyo
| 1oy1
| 1oy1
Line 715: Line 968:
| {{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 }}
| {{monzo| -83 0 0 0 24 }}
| 31.631
| 31.631
|
|-
|-
| [[56/55|undecimal diesis]]
| [[56/55|Undecimal diesis]], konbini comma
| Luzogu
| Luzogu
| 1uzg2
| 1uzg2
Line 729: Line 984:
| {{monzo| 3 0 -1 1 -1 }}
| {{monzo| 3 0 -1 1 -1 }}
| 31.194
| 31.194
|
|}
|}


Line 738: Line 994:
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[Cent]]s
! Named by
|-
|-
| [[26/25|large tridecimal 1/3-tone]]
| [[55/52]]
| Thuloyo
| 3u1oy1
| 55 / 52
| {{monzo| -2 0 1 0 1 -1 }}
| 97.104
|
|-
| [[26/25|Large tridecimal 1/3-tone]]
| Thogugu
| Thogugu
| 3ogg2
| 3ogg2
| 26 / 25
| 26 / 25
| {{monzo| 1 0 -2 0 0 1 }}
| {{monzo| 1 0 -2 0 0 1 }}
| 67.9
| 67.900
|
|-
|-
| [[27/26|small tridecimal 1/3-tone]]
| [[27/26|Small tridecimal 1/3-tone]]
| Thu
| Thu
| 3u1
| 3u1
Line 752: Line 1,018:
| {{monzo| -1 3 0 0 0 -1 }}
| {{monzo| -1 3 0 0 0 -1 }}
| 65.337
| 65.337
|
|-
| [[65/63|Radius of tolerance (FJS)]]
| Thoruyo
| 3ory1
| 65 / 63
| {{monzo| 0 -2 1 -1 0 1 }}
| 54.105
|
|-
|-
| [[1053/1024|tridecimal 1/4-tone]], Hunt minor submediant comma
| [[1053/1024|Superflat comma, tridecimal quartertone]], <br>Hunt minor submediant comma
| Latho
| Latho
| L3o1
| L3o1
Line 759: Line 1,034:
| {{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 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]]
| [[40/39|Tridecimal minor diesis]]
| Thuyo
| Thuyo
| 3uy1
| 3uy1
Line 766: Line 1,058:
| {{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
| 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)
|}
|}


Line 782: Line 1,092:
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[Cent]]s
! Named by
|-
|-
| [[18/17|small septendeciml semitone]], Arabic lute index finger
| [[18/17|Small septendecimal semitone]], Arabic lute index finger
| Su
| Su
| 17u1
| 17u1
Line 789: Line 1,100:
| {{monzo| 1 2 0 0 0 0 -1 }}
| {{monzo| 1 2 0 0 0 0 -1 }}
| 98.955
| 98.955
|
|-
| [[88/85|Septendecimal ~20edo-step]]
| Sulogu
| 17u1og1
| 88 / 85
| {{monzo| 3 0 -1 0 1 0 -1 }}
| 60.049
| [[Budjarn Lambeth]] (2024)
|-
|-
| 12 semitone comma
| 12 semitone comma
| Lala-quadtriso
| Lala-quadtriso
| LL17o<sup>12</sup>6
| LL12(17o)6
| 582622237229761 / 562949953421312
| 582622237229761 / 562949953421312
| {{monzo| -49 0 0 0 0 0 12 }}
| {{monzo| -49 0 0 0 0 0 12 }}
| 59.465
| 59.465
|
|-
|-
| [[34/33|large septendecimal 1/4-tone]]
| [[34/33|Large septendecimal quartertone]]
| Solu
| Solu
| 17o1u2
| 17o1u2
Line 803: Line 1,124:
| {{monzo| 1 -1 0 0 -1 0 1 }}
| {{monzo| 1 -1 0 0 -1 0 1 }}
| 51.682
| 51.682
| [[Flora Canou]] (2021)
|-
|-
| [[35/34|small septendecimal 1/4-tone]]
| [[35/34|Small septendecimal quartertone]]
| Suzoyo
| Suzoyo
| 17uzy1
| 17uzy1
Line 810: Line 1,132:
| {{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
| 35184372088832 / 34271896307633
| {{monzo| 45 0 0 0 0 0 -11 }}
| {{monzo| 45 0 0 0 0 0 -11 }}
| 45.49
| 45.49
|
|-
|-
| [[51/50|large septendecimal 1/6-tone]], 17th-partial chroma
| [[51/50|Large septendecimal 1/6-tone]], 17th-partial chroma
| Sogugu
| Sogugu
| 17ogg2
| 17ogg2
Line 824: Line 1,148:
| {{monzo| -1 1 -2 0 0 0 1 }}
| {{monzo| -1 1 -2 0 0 0 1 }}
| 34.283
| 34.283
| [[Flora Canou]] (2023)
|-
|-
| [[52/51|small septendecimal 1/6-tone]]
| [[52/51|Small septendecimal 1/6-tone]]
| Sutho
| Sutho
| 17u3o1
| 17u3o1
Line 831: Line 1,156:
| {{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
|
|}
|}


Line 847: Line 1,174:
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[Cent]]s
! Named by
|-
|-
| [[19/18|large undevicesimal semitone]]
| [[19/18|Large undevicesimal semitone]]
| Ino
| Ino
| 19o2
| 19o2
Line 854: Line 1,182:
| {{monzo| -1 -2 0 0 0 0 0 1 }}
| {{monzo| -1 -2 0 0 0 0 0 1 }}
| 93.603
| 93.603
| [[User:Xenllium|Xenllium]] (2019)
|-
|-
| [[20/19|small undevicesimal semitone]]
| [[20/19|Small undevicesimal semitone]]
| Nuyo
| Nuyo
| 19uy1
| 19uy1
Line 861: Line 1,190:
| {{monzo| 2 0 1 0 0 0 0 -1 }}
| {{monzo| 2 0 1 0 0 0 0 -1 }}
| 88.801
| 88.801
| [[User:Xenllium|Xenllium]] (2019)
|-
|-
| nutho unison
| [[39/38|Undevicesimal diesis]], undevicesimal 2/9-tone
| Nutho
| Nutho
| 19u3o1
| 19u3o1
Line 868: Line 1,198:
| {{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)
|-
|-
| [[57/56|hendrix comma]]
| [[57/56|Hendrix comma]]
| Noru
| Noru
| 19or1
| 19or1
Line 875: Line 1,206:
| {{monzo| -3 1 0 -1 0 0 0 1 }}
| {{monzo| -3 1 0 -1 0 0 0 1 }}
| 30.642
| 30.642
|
|}
=== 23-limit commas ===
{| class="wikitable"
! Name(s)
! 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
! Monzo
! 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)
|-
| [[1000/979|Canine comma]]
|
|
| 1000 / 979
| 2.5.11.89 {{monzo| 3 3 -1 -1 }}
| 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
|
|}
|}


[[Category:Commas]]
== 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
|-
| [[Engineer's comma]]
|
|
| π / 3
|
| 79.840
| [[Eliora]] (2022)
|}
 
== Notes ==
 
[[Category:Medium commas| ]] <!-- main article -->
[[Category:Medium commas| ]] <!-- main article -->
[[Category:Lists of commas]]
{{todo|complete table|add color name}}
<references />