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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 196: Line 198:
|  
|  
|-
|-
| [[135/128|Pelogic comma]], major chroma
| [[135/128|Mavila comma]], major chroma
| Layobi
| Layobi
| Ly1
| Ly1
Line 214: Line 216:
| Bohpier comma, [[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 222: Line 224:
| [[6561/6250|Ripple comma]]
| [[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 238: Line 240:
| Doublewide comma
| 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 254: Line 256:
| Nusecond comma
| Nusecond comma
| Legu
| Legu
| g<sup>11</sup>3
| 11g3
| 51018336 / 48828125
| 51018336 / 48828125
| {{Monzo| 5 13 -11 }}
| {{Monzo| 5 13 -11 }}
Line 262: Line 264:
| Sentinel comma
| 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 270: Line 272:
| [[Hypovishnuzma]]
| [[Hypovishnuzma]]
| Saquadtrigu
| Saquadtrigu
| sg<sup>12</sup>4
| s12g4
| 254803968 / 244140625
| 254803968 / 244140625
| {{Monzo| 20 5 -12 }}
| {{Monzo| 20 5 -12 }}
| 74.010
| 74.010
|  
| [[ArrowHead294]] (2024)
|-
|-
| Stump comma
| Stump comma
| Latriyo
| Latriyo
| Ly<sup>3</sup>-2
| L3y-2
| 273375 / 262144
| 273375 / 262144
| {{Monzo| -18 7 3 }}
| {{Monzo| -18 7 3 }}
Line 302: 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
| {{Monzo| 3 4 -4 }}
| {{Monzo| 3 4 -4 }}
Line 310: Line 312:
| [[Passion comma]]
| [[Passion comma]]
| Saquingu
| Saquingu
| sg<sup>5</sup>3
| s5g3
| 262144 / 253125
| 262144 / 253125
| {{Monzo| 18 -4 -5 }}
| {{Monzo| 18 -4 -5 }}
Line 316: Line 318:
| [[Paul Erlich]] (2004)
| [[Paul Erlich]] (2004)
|-
|-
| Shibboleth comma
| [[Shibboleth comma]]
| Tritriyo
| Tritriyo
| y<sup>9</sup>-2
| 9y-2
| 1953125 / 1889568
| 1953125 / 1889568
| {{Monzo| -5 -10 9 }}
| {{Monzo| -5 -10 9 }}
Line 326: Line 328:
| Mynic comma
| Mynic comma
| Quinbigu
| Quinbigu
| g<sup>10</sup>3
| 10g3
| 10077696 / 9765625
| 10077696 / 9765625
| {{Monzo| 9 9 -10 }}
| {{Monzo| 9 9 -10 }}
Line 334: Line 336:
| Tritonic comma
| 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 358: Line 376:
| Mowgli comma, [[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 378: Line 396:
| {{Monzo| -23 16 -1 }}
| {{Monzo| -23 16 -1 }}
| 44.966
| 44.966
| CompactStar (2023)
| [[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 390: Line 408:
| Wizard comma
| 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 398: 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 406: 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 414: 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 420: 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 430: Line 448:
| [[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 438: 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 454: 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 472: 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
|  
|  
|-
|-
| Gamelismic minor second
| [[343/324|Gamelismic minor second]]
|  
| Trizo
|  
| 3z3
| 343 / 324
| 343 / 324
| {{Monzo| -2 -4 0 3 }}
| {{Monzo| -2 -4 0 3 }}
Line 488: Line 506:
| 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 496: 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 512: 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 518: Line 536:
|  
|  
|-
|-
| Laruru negative 2nd
| 6561/6272
| Laruru
| Laruru
| Lrr-2
| Lrr-2
Line 528: 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 536: 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 548: 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 560: 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 576: 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 }}
Line 583: Line 601:
|-
|-
| [[8505/8192|35 large diesis]]
| [[8505/8192|35 large diesis]]
|  
| Lazoyo
|  
| Lzy1
| 8505 / 8192
| 8505 / 8192
| {{Monzo| -13 5 1 1 }}
| {{Monzo| -13 5 1 1 }}
Line 592: Line 610:
| 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 608: 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 615: Line 633:
|-
|-
| [[1323/1280|Septimal 2/7-tone]]
| [[1323/1280|Septimal 2/7-tone]]
|  
| Lazozogu
|  
| Lzzg2
| 1323 / 1280
| 1323 / 1280
| {{Monzo| -15 0 -31 31 }}
| {{Monzo| -8 3 -1 2 }}
| 57.203
| 57.203
| [[Eliora]] (2022)
| [[Eliora]] (2022)
|-
|-
| Greenwoodma
| [[405/392|Greenwoodma]]
| Ruruyo
| Ruruyo
| rry-2
| rry-2
Line 628: 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 648: 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 656: 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 672: 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 680: 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 700: Line 726:
| {{Monzo| -9 1 2 1 }}
| {{Monzo| -9 1 2 1 }}
| 43.408
| 43.408
|
|-
| [[Skwares comma]]
| Laquadru
| L4r-3
| 19683 / 19208
| {{monzo| -3 9 0 -4 }}
| 42.291
|  
|  
|-
|-
| [[2240/2187|Septimal inframinor second]]
| [[2240/2187|Septimal inframinor second]]
|  
| Sazoyo
|  
| szy2
| 2240 / 2187
| 2240 / 2187
| {{monzo| 6 -7 1 1 }}
| {{monzo| 6 -7 1 1 }}
Line 712: Line 746:
| [[Septimal octatonic comma]]
| [[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 }}
Line 720: Line 754:
| [[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 726: Line 760:
|  
|  
|-
|-
| [[49/48|Slendro diesis]]
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| Zozo
| zz2
| zz2
Line 736: Line 770:
| [[15625/15309|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 742: 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 752: 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 760: 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 768: 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 776: 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 793: Line 827:
|-
|-
| [[128/121|Axirabian limma]]
| [[128/121|Axirabian limma]]
|  
| Lulubi
|  
| 1uu2
| 128 / 121
| 128 / 121
| {{monzo| 7 0 0 0 -2 }}
| {{monzo| 7 0 0 0 -2 }}
| 97.364
| 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 815: 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 833: Line 875:
|-
|-
| [[125/121|Jug comma]]
| [[125/121|Jug comma]]
|  
| Lulutrityo
|  
| 1uu3y1
| 125 / 121
| 125 / 121
| {{monzo| 0 0 3 0 -2 }}
| {{monzo| 0 0 3 0 -2 }}
Line 840: Line 882:
| [[CompactStar]] (2024)
| [[CompactStar]] (2024)
|-
|-
| [[33/32|Undecimal quartertone, al-Farabi's 1/4-tone]]
| [[33/32|Io comma]], undecimal quartertone, al-Farabi quartertone
| Ilo
| Ilo
| 1o1
| 1o1
Line 846: 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]]
| [[567/550|25·11/7 medium diesis]]
|  
| Luzogugu
|  
| 1uzgg2
| 567 / 550
| 567 / 550
| {{monzo| -1 4 -2 1 -1 }}
| {{monzo| -1 4 -2 1 -1 }}
Line 856: Line 898:
| [[Douglas Blumeyer]] (2024)
| [[Douglas Blumeyer]] (2024)
|-
|-
| Sterno
| [[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 }}
Line 864: Line 914:
|  
|  
|-
|-
| [[Nokotan]], Shikanokonokonokokoshitantanma
| [[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
| 21875 / 21384
| {{monzo| -3 -5 5 1 -1 }}
| {{monzo| -3 -5 5 1 -1 }}
| 39.302
| 39.302
| [[User:R-4981|R-4981]] (2024) (long name), [[Budjarn Lambeth]] (2024) (short name)
| [[Budjarn Lambeth]] (2024, short name) <br>[[User:R-4981|R-4981]] (2024, long name)
|-
|-
| [[45/44|Undecimal 1/5-tone]]
| [[45/44|Undecimal 1/5-tone]], cake comma
| Luyo
| Luyo
| 1uy1
| 1uy1
Line 889: Line 947:
|-
|-
| [[45927/45056|11/7 comma]]
| [[45927/45056|11/7 comma]]
|  
| Laluzo
|  
| L1uz1
| 45927 / 45056
| 45927 / 45056
| {{monzo| -12 8 0 1 -1 }}
| {{monzo| -12 8 0 1 -1 }}
| 33.148
| 33.148
| [[Douglas Blumeyer]]
| [[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 910: 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 938: 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 954: 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 960: 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]]
| [[Tridecimal ennealimma]]
|  
| Tritritho
|  
| 9(3o)3
| 10604499373/10319560704
| 10604499373 / 10319560704
| {{monzo| -19 -9 0 0 0 }}
| {{monzo| -19 -9 0 0 0 9 }}
| 47.154
| 47.154
| [[User:ArrowHead294|ArrowHead294]] (2024)
| [[User:ArrowHead294|ArrowHead294]] (2024)
|-
|-
| [[40/39|tridecimal minor diesis]]
| [[416/405]]
| Thogu
| 3og2
| 416 / 405
| {{monzo| 5 -4 -1 0 0 1 }}
| 46.394
|
|-
| [[40/39|Tridecimal minor diesis]]
| Thuyo
| Thuyo
| 3uy1
| 3uy1
Line 979: Line 1,061:
|-
|-
| [[351/343|Keladisma]]
| [[351/343|Keladisma]]
|
| Thotriru
|  
| 3o3r-2
| 351/343
| 351/343
| {{monzo| 0 3 0 -3 0 1 }}
| {{monzo| 0 3 0 -3 0 1 }}
Line 988: Line 1,070:
| 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 1,004: 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 1,011: 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 1,026: 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 1,034: 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 1,050: 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 1,058: 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 1,084: 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 1,092: 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 1,100: 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]]
Line 1,126: 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 1,134: 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]]
| [[2187/2116|Lipsett comma]]
|  
| Labitwethu
|  
| L23uu-2
| 2187 / 2116
| 2187 / 2116
| 2.3.23 {{monzo| -2 7 -2 }}
| 2.3.23 {{monzo| -2 7 -2 }}
Line 1,150: 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 1,162: 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]]
Line 1,170: Line 1,307:
| 40.850
| 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]]
| [[Lutra comma]]
|  
| Latrithiwo
|  
| L3(31o)-3
| 268119 / 262144
| 268119 / 262144
| 2.3.31 {{monzo| -18 2 3 }}
| 2.3.31 {{monzo| -18 2 3 }}
Line 1,187: Line 1,332:
| [[Budjarn Lambeth]] (2023)
| [[Budjarn Lambeth]] (2023)
|-
|-
| [[261/256|Vicesimononal comma]]
| [[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
| 261 / 256
| 2.3.29 {{monzo| -8 2 1 }}
| 2.3.29 {{monzo| -8 2 1 }}
Line 1,202: Line 1,363:
| 31.985
| 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 1,208: 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"