Xenharmonic Wiki

Medium comma: Difference between revisions

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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]].


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 73: Line 75:
|  
|  
|-
|-
| [[17-comma]], Pythagorean gothma, gothic comma
| [[Gothic comma]], Pythagorean gothma, 17-comma
| Wa-17
| Wa-17
| ssw3
| ssw3
Line 79: Line 81:
| {{monzo| 27 -17 }}
| {{monzo| 27 -17 }}
| 66.765
| 66.765
| [[Flora Canou]] (2023)
| [[Flora Canou]] (2023) for ''Pyth. gothma'' and ''gothic comma''
|-
|-
| 289-comma
| 289-comma
Line 129: Line 131:
|  
|  
|-
|-
| [[29-comma]], mystery comma
| [[Mystery comma]], 29-comma
| Wa-29
| Wa-29
| w-29
| w-29
Line 188: Line 190:
! Named by
! 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
|  
|  
|-
|-
| 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
| 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)
| [[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)
| [[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)
| [[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)
| [[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 comma
| [[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)
| [[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)
| [[Paul Erlich]] (2002)
|-
|-
| [[ampersand]], Ampersand's comma
| [[Aenima comma]]
| Trisa-quadbiyo
| 3s8y2
| 209715200000000 / 205891132094649
| {{Monzo| 29 -30 8 }}
| 31.860
| [[Douglas Blumeyer]] (2023)
|-
| [[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 446: Line 488:
! Named by
! 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
|  
|  
Line 464: Line 514:
| 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
|  
|  
Line 480: Line 530:
| 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
|  
|  
Line 496: Line 546:
| 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
|  
|  
Line 528: Line 578:
| 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
|  
|  
Line 538: Line 588:
|
|
|
|
| {{monzo| 1123 0 0 -400 }}
| {{Monzo| 1123 0 0 -400 }}
| 69.637
| 69.637
|  
|  
Line 544: Line 594:
| 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
|  
|  
Line 568: Line 626:
| 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
|  
|  
|-
|-
| greenwoodma
| [[1323/1280|Septimal 2/7-tone]]
| Lazozogu
| Lzzg2
| 1323 / 1280
| {{Monzo| -8 3 -1 2 }}
| 57.203
| [[Eliora]] (2022)
|-
| [[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
|  
|  
Line 594: Line 660:
| Lr-2
| Lr-2
| 59049 / 57344
| 59049 / 57344
| {{monzo| -13 10 0 -1 }}
| {{Monzo| -13 10 0 -1 }}
| 50.724
| 50.724
|  
|  
Line 600: Line 666:
| 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
|  
|  
Line 632: Line 698:
| 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
|  
|  
|-
|-
| [[cloudy comma]]
| [[Nonary comma]]
| Saquinbiru-agugu
| s10ragg-4
| 7247757312 / 7061881225
| {{Monzo| 28 3 -2 -10 }}
| 44.98
| [[User:Fitzgerald Lee|Fitzgerald Lee]] (2024)
|-
| [[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)
|-
|-
| [[525/512|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
|  
|  
Line 704: Line 794:
| 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
|  
|  
|-
|-
| [[llywelynsma]], 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 )
| [[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 735: Line 825:
! [[Cent]]s
! [[Cent]]s
! Named by
! 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 }}
Line 744: Line 842:
|  
|  
|-
|-
| [[22/21|undecimal minor semitone]]
| [[22/21|Undecimal minor semitone]]
| Loru
| Loru
| 1or1
| 1or1
Line 751: Line 849:
| 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 }}
Line 760: Line 866:
|  
|  
|-
|-
| [[729/704|undecimal major diesis]]
| [[729/704|Undecimal major diesis]]
| Lalu
| Lalu
| L1u1
| L1u1
Line 768: Line 874:
|  
|  
|-
|-
| [[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 774: 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 }}
Line 784: Line 914:
|  
|  
|-
|-
| [[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 799: Line 945:
| 36.952
| 36.952
|  
|  
|-
| [[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
| 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 }}
Line 808: Line 962:
|  
|  
|-
|-
| [[55/54|telepathma]]
| [[55/54|Telepathma]]
| Loyo
| Loyo
| 1oy1
| 1oy1
Line 814: 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 }}
Line 824: Line 978:
|  
|  
|-
|-
| [[56/55|undecimal diesis]]
| [[56/55|Undecimal diesis]], konbini comma
| Luzogu
| Luzogu
| 1uzg2
| 1uzg2
Line 842: Line 996:
! Named by
! 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 858: Line 1,020:
|  
|  
|-
|-
| [[1053/1024|tridecimal 1/4-tone]], Hunt minor submediant comma
| [[65/63|Radius of tolerance (FJS)]]
| Thoruyo
| 3ory1
| 65 / 63
| {{monzo| 0 -2 1 -1 0 1 }}
| 54.105
|
|-
| [[1053/1024|Superflat comma, tridecimal quartertone]], <br>Hunt minor submediant comma
| Latho
| Latho
| L3o1
| L3o1
Line 864: 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 874: Line 1,060:
|  
|  
|-
|-
| astbury
| [[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)
| [[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 892: Line 1,094:
! Named by
! 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 899: Line 1,101:
| 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 }}
Line 908: Line 1,118:
|  
|  
|-
|-
| [[34/33|large septendecimal 1/4-tone]]
| [[34/33|Large septendecimal quartertone]]
| Solu
| Solu
| 17o1u2
| 17o1u2
Line 914: 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 922: 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 }}
Line 932: Line 1,142:
|  
|  
|-
|-
| [[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 938: 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 946: 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 }}
Line 966: Line 1,176:
! Named by
! Named by
|-
|-
| [[19/18|large undevicesimal semitone]]
| [[19/18|Large undevicesimal semitone]]
| Ino
| Ino
| 19o2
| 19o2
Line 972: 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 980: 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 988: 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 1,008: Line 1,218:
! Named by
! Named by
|-
|-
| [[23/22|large vicesimotertial semitone]]
| [[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
|  
|  
| 23 / 22
|-
| {{monzo| -1 0 0 0 -1 0 0 0 1 }}
| [[Lutra comma]]
| 76.956
| 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
|  
|  
|-
|-
| [[24/23|small vicesimotertial semitone]]
| [[261/256|Vicesimononal comma]]
| Tweno
| 29o1
| 261 / 256
| 2.3.29 {{monzo| -8 2 1 }}
| 33.487
| [[Stephen Weigel]] (2023)
|-
| [[7921/7776|Attic comma]]
|  
|  
|  
|  
| 24 / 23
| 7921 / 7776
| {{monzo| 3 1 0 0 0 0 0 0 -1 }}
| 2.3.89 {{monzo| -5 -5 2 }}
| 73.681
| 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
|-
|-
| [[46/45|vicesimotertial fifth-tone]]
| [[Engineer's comma]]
|  
|  
|  
|  
| 46 / 45
| π / 3
| {{monzo| 1 -2 -1 0 0 0 0 0 1 }}
| 38.051
|  
|  
| 79.840
| [[Eliora]] (2022)
|}
|}
== Notes ==


[[Category:Medium commas| ]] <!-- main article -->
[[Category:Medium commas| ]] <!-- main article -->
[[Category:Lists of commas]]
[[Category:Lists of commas]]
{{todo|complete table|add color name}}
<references />
Retrieved from "https://en.xen.wiki/w/Medium_comma"