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. Many schools do not consider them true commas. In [[Sagittal notation]], intervals in the smaller part of this category are [[diesis (melodic unit)|dieses]], and intervals in the larger part of this category are 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>.  
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
| 70368744177664 / <br>68630377364883
| 70368744177664 / 68630377364883
| {{monzo| 46 -29 }}
| {{monzo| 46 -29 }}
| 43.305
| 43.305
Line 188: Line 190:
! Named by
! Named by
|-
|-
| Hogzilla
| Hogzilla comma
| Lala-yoyo
| Lala-yoyo
| LLyy-2
| LLyy-2
Line 196: Line 198:
|  
|  
|-
|-
| [[135/128|Pelogic comma]], major chroma
| [[135/128|Mavila comma]], major chroma
| Layobi
| Layobi
| Ly1
| Ly1
Line 204: Line 206:
|  
|  
|-
|-
| Sasagu comma
| Quasisuper comma
| Sasagu
| Sasagu
| ssg3
| ssg3
Line 212: Line 214:
|  
|  
|-
|-
| 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 }}
Line 220: Line 222:
|  
|  
|-
|-
| 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 }}
Line 230: Line 232:
| [[Dodecoid comma]]
| [[Dodecoid comma]]
| Sasa-sepgu
| Sasa-sepgu
| ssg<sup>7</sup>4
| ss7g4
| 536870912 / 512578125
| 536870912 / 512578125
| {{Monzo| 29 -8 -7 }}
| {{Monzo| 29 -8 -7 }}
Line 236: Line 238:
| [[User:CompactStar|CompactStar]] (2023)
| [[User:CompactStar|CompactStar]] (2023)
|-
|-
| Doublewide
| Doublewide comma
| Quadbiyo
| Quadbiyo
| y<sup>8</sup>-2
| 8y-2
| 390625 / 373248
| 390625 / 373248
| {{Monzo| -9 -6 8 }}
| {{Monzo| -9 -6 8 }}
Line 246: Line 248:
| Sevond comma
| Sevond comma
| Sasepyo
| Sasepyo
| sy<sup>7</sup>1
| s7y1
| 5000000 / 4782969
| 5000000 / 4782969
| {{Monzo| 6 -14 7 }}
| {{Monzo| 6 -14 7 }}
Line 252: Line 254:
| [[Petr Pařízek]] (2011)
| [[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 }}
Line 260: Line 262:
|  
|  
|-
|-
| 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 }}
Line 268: Line 270:
|  
|  
|-
|-
| 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 }}
Line 284: Line 294:
|  
|  
|-
|-
| Superpyth, grave minor second
| [[20480/19683|Superpyth comma]], grave minor second
| Sayo
| Sayo
| sy2
| sy2
Line 294: Line 304:
| [[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)
| [[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 }}
Line 316: Line 326:
| [[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 }}
Line 324: Line 334:
|  
|  
|-
|-
| 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
|  
|  
|-
| [[Magus comma]]
| Salegu
| s11g4
| 50331648 / 48828125
| {{Monzo| 24 1 -11 }}
| 52.504
| [[ArrowHead294]] (2024)
|-
|-
| [[Negri comma]], double augmentation diesis
| [[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)
|-
| [[Goldis comma]]
| Trisa-quadtrigu
| 3s12g5
| 549755813888 / 533935546875
| {{Monzo| 39 -7 -12 }}
| 50.550
| [[Userminusone]] (2021)
|-
|-
| [[250/243|Porcupine comma]], maximal diesis
| [[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 }}
Line 348: Line 374:
| [[Herman Miller]] (1999)
| [[Herman Miller]] (1999)
|-
|-
| Mowgli, [[15edt]] comma
| Mowgli comma, [[15edt]] comma
| Laquintrigu
| Laquintrigu
| Lg<sup>15</sup>3
| L15g3
| 31381059609 / <br>30517578125
| 31381059609 / <br>30517578125
| {{Monzo| 0 22 -15 }}
| {{Monzo| 0 22 -15 }}
Line 364: Line 390:
| [[Mike Battaglia]] (2011)
| [[Mike Battaglia]] (2011)
|-
|-
| Lalagu comma
| [[Python comma]]
| Lalagu
| Lalagu
| LLg-2
| LLg-2
Line 370: Line 396:
| {{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 }}
Line 380: Line 406:
| [[Paul Erlich]], [[Carl Lumma]] (2002)
| [[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 }}
Line 390: Line 416:
| [[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 }}
Line 398: Line 424:
| Absurdity comma
| Absurdity comma
| Lala-sepgu
| Lala-sepgu
| LLg<sup>7</sup>1
| LL7g1
| 10460353203 / <br>10240000000
| 10460353203 / <br>10240000000
| {{Monzo| -17 21 -7 }}
| {{Monzo| -17 21 -7 }}
Line 406: Line 432:
| Fifive comma
| Fifive comma
| Saquinbiyo
| Saquinbiyo
| sy<sup>10</sup>-2
| s10y-2
| 9765625 / 9565938
| 9765625 / 9565938
| {{Monzo| -1 -14 10 }}
| {{Monzo| -1 -14 10 }}
Line 412: Line 438:
| [[Petr Pařízek]] (2011)
| [[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 }}
Line 420: Line 446:
| [[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 }}
Line 430: Line 456:
| [[Aenima comma]]
| [[Aenima comma]]
| Trisa-quadbiyo
| Trisa-quadbiyo
| s<sup>3</sup>y<sup>8</sup>2
| 3s8y2
| 209715200000000 / <br>205891132094649
| 209715200000000 / 205891132094649
| {{Monzo| 29 -30 8 }}
| {{Monzo| 29 -30 8 }}
| 31.860
| 31.860
| [[Douglas Blumeyer]] (2023)
| [[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 }}
Line 446: Line 472:
| 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 }}
Line 464: Line 490:
| Hexadecatone comma, 16-7-comma
| Hexadecatone comma, 16-7-comma
| Sasa-quadquadrubi
| Sasa-quadquadrubi
| ssr<sup>16</sup>-6
| ss16r-6
| 35184372088832 / <br>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
| z<sup>29</sup>g<sup>29</sup>19
| 29zg19
|
| <abbr title="3219905755813179726837607 / 3051757812500000000000000">(50 digits)</abbr>
| {{Monzo| -14 0 -29 29 }}
| {{Monzo| -14 0 -29 29 }}
| 92.854
| 92.854
Line 480: Line 514:
| 47-35-comma
| 47-35-comma
| Thela-fosezoyo
| Thela-fosezoyo
| L<sup>13</sup>z<sup>47</sup>y<sup>47</sup>6
| 13L47zy6
|
|  
| {{Monzo| -241 0 47 47 }}
| {{Monzo| -241 0 47 47 }}
| 91.562
| 91.562
Line 496: Line 530:
| 39-7/5-comma
| 39-7/5-comma
| Thetriruyo
| Thetriruyo
| r<sup>39</sup>y<sup>39</sup>-24
| 39ry-24
|
|
| {{Monzo| 19 0 39 -39 }}
| {{Monzo| 19 0 39 -39 }}
Line 502: Line 536:
|  
|  
|-
|-
| Laruru negative 2nd
| 6561/6272
| Laruru
| Laruru
| Lrr-2
| Lrr-2
Line 512: Line 546:
| 36-7-comma
| 36-7-comma
| Quinla-quadtritrizo
| Quinla-quadtritrizo
| L<sup>5</sup>z<sup>36</sup>14
| 5L36z14
|
|
| {{Monzo| -101 0 0 36 }}
| {{Monzo| -101 0 0 36 }}
Line 520: Line 554:
| [[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 comma]]
| [[256/245|Bapbo comma]]
Line 532: Line 566:
| {{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
| L<sup>5</sup>z<sup>18</sup>6
| 5L18z6
|
|
| {{Monzo| -79 18 0 18 }}
| {{Monzo| -79 18 0 18 }}
Line 544: Line 578:
| 15-35-comma
| 15-35-comma
| Quadsa-quintrirugu
| Quadsa-quintrirugu
| s<sup>4</sup>r<sup>15</sup>g<sup>15</sup>-2
| 4s15rg-2
|
|
| {{Monzo| 77 0 -15 -15 }}
| {{Monzo| 77 0 -15 -15 }}
Line 560: Line 594:
| 47-7-comma
| 47-7-comma
| Sepsa-foseru
| Sepsa-foseru
| s<sup>7</sup>r<sup>47</sup>-17
| 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
| s<sup>9</sup>r<sup>33</sup>-9
| 9s33r-9
|
|
| {{Monzo| 145 -33 0 -33 }}
| {{Monzo| 145 -33 0 -33 }}
Line 584: Line 626:
| 31-7/5-comma
| 31-7/5-comma
| Thiwezogu
| Thiwezogu
| z<sup>31</sup>g<sup>31</sup>20
| 31zg20
|
|
| {{Monzo| -15 0 -31 31 }}
| {{Monzo| -15 0 -31 31 }}
Line 590: Line 632:
|  
|  
|-
|-
| 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
Line 596: Line 646:
| {{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
| s<sup>3</sup>r<sup>21</sup>-8
| 3s21r-8
| 576460752303423488 / <br>558545864083284007
| <abbr title="576460752303423488 / 558545864083284007">(36 digits)</abbr>
| {{Monzo| 59 0 0 -21 }}
| {{Monzo| 59 0 0 -21 }}
| 54.656
| 54.656
Line 616: Line 666:
| 39-35-comma
| 39-35-comma
| Lela-thetrizoyo
| Lela-thetrizoyo
| L<sup>11</sup>z<sup>39</sup>y<sup>39</sup>5
| 11L39zy5
|
|
| {{Monzo| -200 0 39 39 }}
| {{Monzo| -200 0 39 39 }}
Line 624: Line 674:
| [[1029/1000|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 }}
Line 640: Line 690:
| 37-7/5-comma
| 37-7/5-comma
| Thiseruyo
| Thiseruyo
| r<sup>37</sup>y<sup>37</sup>-23
| 37ry-23
|
|
| {{Monzo| 18 0 37 -37 }}
| {{Monzo| 18 0 37 -37 }}
Line 648: 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
|  
|  
|-
| [[Nonary comma]]
| Saquinbiru-agugu
| s10ragg-4
| 7247757312 / 7061881225
| {{Monzo| 28 3 -2 -10 }}
| 44.98
| [[User:Fitzgerald Lee|Fitzgerald Lee]] (2024)
|-
|-
| [[Cloudy comma]]
| [[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
Line 670: Line 728:
|  
|  
|-
|-
| 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 / <br>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 }}
Line 686: Line 760:
|  
|  
|-
|-
| [[49/48|Slendro diesis]]
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| Zozo
| zz2
| zz2
Line 694: Line 768:
|  
|  
|-
|-
| [[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 }}
Line 702: Line 776:
|  
|  
|-
|-
| [[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 }}
Line 712: Line 786:
| 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 }}
Line 720: Line 794:
| German sixth comma
| German sixth comma
| Quadla-thiwezo
| Quadla-thiwezo
| L<sup>4</sup>z<sup>31</sup>12
| 4L31z12
|
|
| {{Monzo| -87 0 0 31 }}
| {{Monzo| -87 0 0 31 }}
Line 728: Line 802:
| [[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 }}
Line 736: Line 810:
| 23-35-comma
| 23-35-comma
| Sepsa-twetherugu
| Sepsa-twetherugu
| s<sup>7</sup>r<sup>23</sup>g<sup>23</sup>-3
| 7s23rg-3
|
|
| {{Monzo| 118 0 -23 -23 }}
| {{Monzo| 118 0 -23 -23 }}
Line 751: 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
| L<sup>5</sup>1o<sup>35</sup>-8
| 5L35(1o)-8
|  
|  
| {{monzo| -121 0 0 0 35 }}
| {{monzo| -121 0 0 0 35 }}
Line 767: 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 / <br>274877906944
| 285311670611 / 274877906944
| {{monzo| -38 0 0 0 11 }}
| {{monzo| -38 0 0 0 11 }}
| 64.497
| 64.497
Line 784: Line 874:
|  
|  
|-
|-
| [[33/32|Undecimal quartertone, 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 790: 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 800: 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 815: 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 / <br>34522712143931
| 35184372088832 / 34522712143931
| {{monzo| 45 0 0 0 -13 }}
| {{monzo| 45 0 0 0 -13 }}
| 32.867
| 32.867
Line 830: 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
| L<sup>3</sup>1o<sup>24</sup>-6
| 3L24(1o)-6
|  
|  
| {{monzo| -83 0 0 0 24 }}
| {{monzo| -83 0 0 0 24 }}
Line 858: 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 874: Line 1,020:
|  
|  
|-
|-
| [[1053/1024|tridecimal quartertone]], 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 880: 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 889: Line 1,059:
| 43.831
| 43.831
|  
|  
|-
| [[351/343|Keladisma]]
| Thotriru
| 3o3r-2
| 351/343
| {{monzo| 0 3 0 -3 0 1 }}
| 39.915
| [[User:Lériendil|Lériendil]] (2024)
|-
|-
| Astbury
| 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 908: 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 915: 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 / <br>562949953421312
| 582622237229761 / 562949953421312
| {{monzo| -49 0 0 0 0 0 12 }}
| {{monzo| -49 0 0 0 0 0 12 }}
| 59.465
| 59.465
Line 930: 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 quartertone]]
| [[35/34|Small septendecimal quartertone]]
Line 938: 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 / <br>34271896307633
| 35184372088832 / 34271896307633
| {{monzo| 45 0 0 0 0 0 -11 }}
| {{monzo| 45 0 0 0 0 0 -11 }}
| 45.49
| 45.49
Line 954: 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]]
Line 962: 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
| Quinsa-sebisu
| s<sup>5</sup>17u<sup>-34</sup>-14
| 5s34(17u)-14
|
|
| {{monzo| 139 0 0 0 0 0 -34 }}
| {{monzo| 139 0 0 0 0 0 -34 }}
Line 988: 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]]
Line 996: 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)
|-
|-
| [[39/38|Undevicesimal 2/9-tone]]
| [[39/38|Undevicesimal diesis]], undevicesimal 2/9-tone
| Nutho
| Nutho
| 19u3o1
| 19u3o1
Line 1,004: 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 1,030: Line 1,224:
| 2.11.23 {{monzo| -1 -1 1 }}
| 2.11.23 {{monzo| -1 -1 1 }}
| 76.956
| 76.956
|  
| [[Xenwolf]] (2020)
|-
|-
| [[24/23|Small vicesimotertial semitone]]
| [[24/23|Small vicesimotertial semitone]]
Line 1,038: Line 1,232:
| 2.3.23 {{monzo| 3 1 -1 }}
| 2.3.23 {{monzo| 3 1 -1 }}
| 73.681
| 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]]
| [[46/45|Vicesimotertial 1/5-tone]]
Line 1,046: Line 1,256:
| 2.3.5.23 {{monzo| 1 -2 -1 1 }}
| 2.3.5.23 {{monzo| 1 -2 -1 1 }}
| 38.051
| 38.051
|  
| [[User:Flirora|Flirora]] (2023)
|}
|}


Line 1,057: Line 1,267:
! Cents
! Cents
! Named by
! 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|Oxidizer comma]]
|  
|  
|  
|  
| 729/712
| 729 / 712
| 2.3.89 {{monzo| -3 6 -1 }}
| 2.3.89 {{monzo| -3 6 -1 }}
| 40.8499
| 40.850
| [[Budjarn Lambeth]] (2023)
| [[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|Canine comma]]
|  
|  
|  
|  
| 1000/979
| 1000 / 979
| 2.5.11.89 {{monzo| 3 3 -1 -1 }}
| 2.5.11.89 {{monzo| 3 3 -1 -1 }}
| 36.7431
| 36.743
| [[Budjarn Lambeth]] (2023)
| [[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|Attic comma]]
|  
|  
|  
|  
| 7921/7776
| 7921 / 7776
| 2.3.89 {{monzo| -5 -5 2 }}
| 2.3.89 {{monzo| -5 -5 2 }}
| 31.9852
| 31.985
| [[Budjarn Lambeth]] (2023)
| [[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
|-
| [[Engineer's comma]]
|
|
| π / 3
|
| 79.840
| [[Eliora]] (2022)
|}
|}


Line 1,087: Line 1,397:
[[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"