Xenharmonic Wiki

Medium comma: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
m →13-limit commas: corrected a typo in Monzo
 
(62 intermediate revisions by 7 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. 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 }}
Line 349: Line 359:
|-
|-
| [[Goldis comma]]
| [[Goldis comma]]
|  
| Trisa-quadtrigu
|  
| 3s12g5
| 549755813888 / 533935546875
| 549755813888 / 533935546875
| {{Monzo| 39 -7 -12 }}
| {{Monzo| 39 -7 -12 }}
| 50.550
| 50.550
| [[Godtone]] (2024)
| [[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 366: 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 386: 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 398: 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 406: 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 414: 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 422: 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 428: 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 438: 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 446: 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 462: 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 480: 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
Line 487: Line 497:
|-
|-
| [[343/324|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 496: 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 504: 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 520: 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 526: Line 536:
|  
|  
|-
|-
| Laruru negative 2nd
| 6561/6272
| Laruru
| Laruru
| Lrr-2
| Lrr-2
Line 536: 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 544: 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 556: 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 568: 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 584: 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 591: 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 600: 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 616: 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 623: 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)
Line 640: Line 650:
| 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 656: 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 664: 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 680: 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 688: 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 708: 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 720: 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 728: 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 734: Line 760:
|  
|  
|-
|-
| [[49/48|Slendro diesis]]
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| Zozo
| zz2
| zz2
Line 744: 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 750: 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 760: 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 768: 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 776: 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 784: 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 801: 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 825: Line 851:
|-
|-
| [[847/810|Wormwoodma]]
| [[847/810|Wormwoodma]]
|  
| Lolozogu
|  
| 1oozg2
| 847 / 810
| 847 / 810
| {{monzo| -1 -4 -1 1 2 }}
| {{monzo| -1 -4 -1 1 2 }}
Line 834: Line 860:
| 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 849: 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 856: 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 862: 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 872: 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 881: Line 915:
|-
|-
| [[4096/3993|Alpharabian paralimma]]
| [[4096/3993|Alpharabian paralimma]]
|  
| Satrilu
|  
| s3(1u)2
| 4096 / 3993
| 4096 / 3993
| {{monzo| 12 -1 0 0 -3 }}
| {{monzo| 12 -1 0 0 -3 }}
| 44.091
| 44.091
| [[User:Aura|Aura]] (2021)
| [[Dawson Berry]] (2021)
|-
|-
| [[Nokotan]], Shikanokonokonokokoshitantanma
| [[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 913: 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 934: 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 962: Line 996:
! Named by
! Named by
|-
|-
| [[55/52|Studnička semitone]]
| [[55/52]]
|  
| Thuloyo
|  
| 3u1oy1
| 55 / 52
| 55 / 52
| {{monzo| -2 0 1 0 1 -1 }}
| {{monzo| -2 0 1 0 1 -1 }}
| 97.104
| 97.104
| [[Budjarn Lambeth]] (2023)
|  
|-
|-
| [[26/25|Large tridecimal 1/3-tone]]
| [[26/25|Large tridecimal 1/3-tone]]
Line 975: Line 1,009:
| 26 / 25
| 26 / 25
| {{monzo| 1 0 -2 0 0 1 }}
| {{monzo| 1 0 -2 0 0 1 }}
| 67.9
| 67.900
|  
|  
|-
|-
Line 986: 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 992: 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)
|-
|-
| [[416/405|Thogu comma]]
| [[416/405]]
|  
| Thogu
|  
| 3og2
| 416 / 405
| 416 / 405
| {{monzo| 5 -4 -1 0 0 1 }}
| {{monzo| 5 -4 -1 0 0 1 }}
| 46.394
| 46.394
| [[User:TallKite|TallKite]] (2023)
|  
|-
|-
| [[40/39|Tridecimal minor diesis]]
| [[40/39|Tridecimal minor diesis]]
Line 1,019: 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 1,028: 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 1,044: 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 1,052: Line 1,102:
|  
|  
|-
|-
| [[88/85|Sette comma]]
| [[88/85|Septendecimal ~20edo-step]]
|  
| Sulogu
|  
| 17u1og1
| 88 / 85
| 88 / 85
| {{monzo| 3 0 -1 0 1 0 -1 }}
| {{monzo| 3 0 -1 0 1 0 -1 }}
| 60.049
| 60.049
| [[Budjarn Lambeth]] (2023)
| [[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 1,074: 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 1,082: 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 1,098: 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 1,106: 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 1,132: 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 1,140: 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 1,148: 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 1,174: 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 1,182: 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 1,198: 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 1,211: Line 1,268:
! Named by
! Named by
|-
|-
| [[Engineer's comma]]
| [[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
|  
|  
| π / 3
|
| 79.840
| [[Eliora]] (2022)
|-
|-
| [[752/729|47-limit ~quartertone comma]]
| [[752/729|47-limit ~quartertone comma]]
|  
| Safoso
|  
| s47o2
| 752 / 729
| 752 / 729
| 2.3.47 {{monzo| 4 -6 1 }}
| 2.3.47 {{monzo| 4 -6 1 }}
Line 1,228: Line 1,293:
|-
|-
| [[37/36|37-limit Wyschnegradsky ~quartertone]]
| [[37/36|37-limit Wyschnegradsky ~quartertone]]
|  
| Thiso
|  
| 37o2
| 37 / 36
| 37 / 36
| 2.3.37 {{monzo| -2 -2 1 }}
| 2.3.37 {{monzo| -2 -2 1 }}
Line 1,242: 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 1,259: 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 1,274: 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 1,280: 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"