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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 11: Line 13:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 18: Line 20:
|-
|-
| [[256/243|Pythagorean limma]], blackwood comma
| [[256/243|Pythagorean limma]], blackwood comma
| Sawa
| Sawama
| sw2
| swM
| 256 / 243
| 256 / 243
| {{monzo| 8 -5 }}
| {{Monzo| 8 -5 }}
| 90.225
| 90.225
|  
|  
|-
|-
| 301-comma
| 301-comma
| Wa-301
| 301wama
| w-301
| 301wM
|
|
| {{monzo| -477 301 }}
| {{Monzo| -477 301 }}
| 88.455
| 88.455
|  
|  
|-
|-
| 248-comma
| 248-comma
| Wa-248
| 248wama
| w-248
| 248wM
|
|
| {{monzo| -393 248 }}
| {{Monzo| -393 248 }}
| 84.840
| 84.840
|  
|  
|-
|-
| 111-comma
| 111-comma
| Wa-111
| 111wama
| w-111
| 111wM
|
|
| {{monzo| 176 -111 }}
| {{Monzo| 176 -111 }}
| 82.995
| 82.995
|  
|  
|-
|-
| 142-comma
| 142-comma
| Wa-142
| 142wama
| w-142
| 142wM
|
|
| {{monzo| -225 142 }}
| {{Monzo| -225 142 }}
| 77.610
| 77.610
|  
|  
|-
|-
| 217-comma
| 217-comma
| Wa-217
| 217wama
| w-217
| 217wM
|
|
| {{monzo| 344 -217 }}
| {{Monzo| 344 -217 }}
| 75.765
| 75.765
|  
|  
|-
|-
| 89-comma
| 89-comma
| Wa-89
| 89wama
| w-89
| 89wM
|
|
| {{monzo| -141 89 }}
| {{Monzo| -141 89 }}
| 73.995
| 73.995
|  
|  
|-
|-
| [[17-comma]], Pythagorean gothma, gothic comma
| [[Gothic comma]], Pythagorean gothma, 17-comma
| Wa-17
| 17wama, Sewama
| ssw3
| 17wM
| 134217728 / 129140163
| 134217728 / 129140163
| {{monzo| 27 -17 }}
| {{Monzo| 27 -17 }}
| 66.765
| 66.765
| [[Flora Canou]] (2023) ''(for Pyth. gothma and gothic comma)''
| [[Flora Canou]] (2023)
|-
|-
| 289-comma
| 289-comma
| Wa-289
| 289wama
| w-289
| 289wM
|
|
| {{monzo| -458 289 }}
| {{Monzo| -458 289 }}
| 64.995
| 64.995
|  
|  
|-
|-
| 70-comma
| [[Jorgensen comma]], 70-comma
| Wa-70
| 70wama
| w-70
| 70wM
|
|
| {{monzo| 111 -70 }}
| {{Monzo| 111 -70 }}
| 63.150
| 63.150
|  
| [[Mike Battaglia]] (2012)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_103982.html Yahoo! Tuning Group | ''Jorgensen Temperament'']</ref>
|-
|-
| 183-comma
| 183-comma
| Wa-183
| 183wama
| w-183
| 183wM
|
|
| {{monzo| -290 183 }}
| {{Monzo| -290 183 }}
| 57.765
| 57.765
|  
|  
|-
|-
| 176-comma
| 176-comma
| Wa-176
| 176wama
| w-176
| 176wM
|
|
| {{monzo| 279 -176 }}
| {{Monzo| 279 -176 }}
| 55.920
| 55.920
|  
|  
|-
|-
| 229-comma
| 229-comma
| Wa-229
| 229wama
| w-229
| 229wM
|
|
| {{monzo| 363 -229 }}
| {{Monzo| 363 -229 }}
| 52.305
| 52.305
|  
|  
|-
|-
| 77-comma
| 77-comma
| Wa-77
| 77wama
| w-77
| 77wM
|
|
| {{monzo| -122 77 }}
| {{Monzo| -122 77 }}
| 50.535
| 50.535
|  
|  
|-
|-
| [[29-comma]], mystery comma
| [[Mystery comma]], 29-comma
| Wa-29
| 29wama, Twenewama
| w-29
| 29wM
| 70368744177664 / <br>68630377364883
| 70368744177664 / 68630377364883
| {{monzo| 46 -29 }}
| {{Monzo| 46 -29 }}
| 43.305
| 43.305
|  
|  
|-
|-
| 277-comma
| 277-comma
| Wa-277
| 277wama
| w-277
| 277wM
|
|
| {{monzo| -439 277 }}
| {{Monzo| -439 277 }}
| 41.535
| 41.535
|  
|  
|-
|-
| 224-comma
| 224-comma
| Wa-224
| 224wama
| w-224
| 224wM
|
|
| {{monzo| -355 224 }}
| {{Monzo| -355 224 }}
| 37.920
| 37.920
|  
|  
|-
|-
| 135-comma
| 135-comma
| Wa-135
| 135wama
| w-135
| 135wM
|
|
| {{monzo| 214 -135 }}
| {{Monzo| 214 -135 }}
| 36.075
| 36.075
|  
|  
|-
|-
| 171-comma
| 171-comma
| Wa-171
| 171wama
| w-171
| 171wM
|
|
| {{monzo| -271 171 }}
| {{Monzo| -271 171 }}
| 34.305
| 34.305
|  
|  
|-
|-
| 118-comma
| 118-comma
| Wa-118
| 118wama
| w-118
| 118wM
|
|
| {{monzo| -187 118 }}
| {{Monzo| -187 118 }}
| 30.690
| 30.690
|  
|  
Line 179: Line 181:


=== 5-limit commas ===
=== 5-limit commas ===
{{See also| Table of 5-limit commas }}
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 196: Line 197:
|  
|  
|-
|-
| [[135/128|Pelogic comma]], major chroma
| [[135/128|Mavila comma]], major chroma
| Layobi
| Layobi
| Ly1
| Ly1
Line 202: Line 203:
| {{Monzo| -7 3 1 }}
| {{Monzo| -7 3 1 }}
| 92.179
| 92.179
|  
| [[Erv Wilson]] (1989)
|-
|-
| Quasisuper comma
| Quasisuper comma
Line 214: Line 215:
| 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 223:
| [[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 231:
| [[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 239:
| 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 247:
| 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 255:
| 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 263:
| 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 271:
| [[Hypovishnuzma]]
| [[Hypovishnuzma]]
| Saquadtrigu
| Saquadtrigu
| sg<sup>12</sup>4
| s12g4
| 254803968 / 244140625
| 254803968 / 244140625
| {{Monzo| 20 5 -12 }}
| {{Monzo| 20 5 -12 }}
Line 278: Line 279:
| 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 303:
| [[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 311:
| [[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 318: Line 319:
| [[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 }}
| 57.273
| 57.273
| [[Paul Erlich]] (2002)
| [[Paul Erlich]] (2002)
|-
| [[Xenial comma]]
| Latritrigu
| L9g2
| 129140163 / 125000000
| {{Monzo| -6 17 -9 }}
| 56.412
| [[User:Xenllium|Xenllium]] (2026)
|-
|-
| 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 343:
| 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 }}
Line 342: Line 351:
| [[Magus comma]]
| [[Magus comma]]
| Salegu
| Salegu
| sg<sup>11</sup>4
| s11g4
| 50331648 / 48828125
| 50331648 / 48828125
| {{Monzo| 24 1 -11 }}
| {{Monzo| 24 1 -11 }}
| 52.504
| 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 358: Line 367:
| [[Goldis comma]]
| [[Goldis comma]]
| Trisa-quadtrigu
| Trisa-quadtrigu
| s<sup>3</sup>g<sup>12</sup>5
| 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 374: Line 383:
| 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 398: Line 407:
| [[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 406: Line 415:
| 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 414: Line 423:
| [[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 422: Line 431:
| 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 430: Line 439:
| 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 438: Line 447:
| [[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 446: Line 455:
| [[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 454: Line 463:
| [[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 470: Line 479:
| 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 489:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 488: Line 497:
| 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 496: Line 505:
| [[343/324|Gamelismic minor second]]
| [[343/324|Gamelismic minor second]]
| Trizo
| Trizo
| z<sup>3</sup>3
| 3z3
| 343 / 324
| 343 / 324
| {{Monzo| -2 -4 0 3 }}
| {{Monzo| -2 -4 0 3 }}
| 98.658
| 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 512: Line 521:
| 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 528: Line 537:
| 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 534: Line 543:
|  
|  
|-
|-
| 6561/6272
| [[6561/6272]]
| Laruru
| Laruru
| Lrr-2
| Lrr-2
Line 544: Line 553:
| 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 550: Line 559:
|  
|  
|-
|-
| [[392/375|Prograde comma]], ed7/4 microdiatonic comma
| [[392/375|Prograde comma]]
| Zozotrigu
| Zozotrigu
| zzg<sup>3</sup>3
| zz3g3
| 392 / 375
| 392 / 375
| {{Monzo| 3 -1 -3 2 }}
| {{Monzo| 3 -1 -3 2 }}
Line 564: Line 573:
| {{Monzo| 8 0 -1 -2 }}
| {{Monzo| 8 0 -1 -2 }}
| 76.034
| 76.034
| [[User:Flirora|Flirora]] (2021)
| [[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 576: Line 585:
| 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 582: Line 591:
|  
|  
|-
|-
| <strike>slendro integer cents comma</strike>{{clarify}}
| 400-7-comma
|
|
|
|
Line 592: Line 601:
| 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 604: Line 613:
| {{Monzo| -13 5 1 1 }}
| {{Monzo| -13 5 1 1 }}
| 64.915
| 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 624: Line 633:
| 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 636: Line 645:
| {{Monzo| -8 3 -1 2 }}
| {{Monzo| -8 3 -1 2 }}
| 57.203
| 57.203
| [[Eliora]] (2022)
|  
|-
|-
| [[405/392|Greenwoodma]]
| [[405/392|Greenwoodma]]
Line 644: Line 653:
| {{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 664: Line 673:
| 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 672: Line 681:
| [[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 688: Line 697:
| 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 694: Line 703:
|  
|  
|-
|-
| 5-21-comma
| [[Obsceniton]], 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
|  
| [[VectorGraphics]] (2025)
|-
| [[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|Flirora]] (2021)
| [[User:Flirora|+merlan #flirora]] (2021)
|-
|-
| [[525/512|Avicennma]], Avicenna's enharmonic diesis
| [[525/512|Avicennma]], Avicenna's enharmonic diesis
Line 720: Line 737:
| [[Skwares comma]]
| [[Skwares comma]]
| Laquadru
| Laquadru
| Lr<sup>4</sup>-3
| L4r-3
| 19683 / 19208
| 19683 / 19208
| {{monzo| -3 9 0 -4 }}
| {{Monzo| -3 9 0 -4 }}
| 42.291
| 42.291
|  
|  
Line 730: Line 747:
| szy2
| szy2
| 2240 / 2187
| 2240 / 2187
| {{monzo| 6 -7 1 1 }}
| {{Monzo| 6 -7 1 1 }}
| 41.456
| 41.456
| [[User:FloraC|FloraC]] (2023)
|  
|-
|-
| [[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 }}
| 41.117
| 41.117
| [[User:ArrowHead294|ArrowHead294]] (2024)
| [[User:ArrowHead294|ArrowHead294]] (2024)
Line 744: Line 761:
| [[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 750: Line 767:
|  
|  
|-
|-
| [[49/48|Slendro diesis]]
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| Zozo
| zz2
| zz2
Line 760: Line 777:
| [[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 766: Line 783:
|  
|  
|-
|-
| [[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 774: Line 791:
|  
|  
|-
|-
| Eric
| [[Naiadisma]]
| Satritrizogu
| s9zg7
| 161414428 / 158203125
| {{Monzo| 2 -4 -9 9 }}
| 34.790
| [[User:Xenllium|Xenllium]] (2026)
|-
| Eric comma
| Sepru
| Sepru
| r<sup>7</sup>-4
| 7r-4
| 839808 / 823543
| 839808 / 823543
| {{Monzo| 7 8 0 -7 }}
| {{Monzo| 7 8 0 -7 }}
Line 782: Line 807:
|  
|  
|-
|-
| German sixth comma
| 31-7-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 792: Line 817:
| [[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 800: Line 825:
| 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 810: Line 835:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 826: Line 851:
| 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 850: Line 875:
| 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 866: Line 891:
| [[125/121|Jug comma]]
| [[125/121|Jug comma]]
| Lulutrityo
| Lulutrityo
| 1uuy<sup>3</sup>1
| 1uu3y1
| 125 / 121
| 125 / 121
| {{monzo| 0 0 3 0 -2 }}
| {{monzo| 0 0 3 0 -2 }}
Line 872: Line 897:
| [[CompactStar]] (2024)
| [[CompactStar]] (2024)
|-
|-
| [[33/32|Io comma, undecimal quartertone, al-Farabi quartertone]]
| [[33/32|Io comma]], undecimal quartertone, al-Farabi quartertone
| Ilo
| Ilo
| 1o1
| 1o1
Line 878: Line 903:
| {{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]]
Line 887: Line 912:
| 52.701
| 52.701
| [[Douglas Blumeyer]] (2024)
| [[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)
|-
|-
| [[352/343|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 898: Line 931:
| [[4096/3993|Alpharabian paralimma]]
| [[4096/3993|Alpharabian paralimma]]
| Satrilu
| Satrilu
| s1u<sup>3</sup>2
| s3(1u)2
| 4096 / 3993
| 4096 / 3993
| {{monzo| 12 -1 0 0 -3 }}
| {{monzo| 12 -1 0 0 -3 }}
Line 906: Line 939:
| [[Nokotan]], <br>Shikanokonokonokokoshitantanma
| [[Nokotan]], <br>Shikanokonokonokokoshitantanma
| Luzoquinyo
| Luzoquinyo
| 1uzy<sup>5</sup>1
| 1uz5y1
| 21875 / 21384
| 21875 / 21384
| {{monzo| -3 -5 5 1 -1 }}
| {{monzo| -3 -5 5 1 -1 }}
Line 912: Line 945:
| [[Budjarn Lambeth]] (2024, short name) <br>[[User:R-4981|R-4981]] (2024, long 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 938: Line 971:
| 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 952: Line 985:
| [[Gene Ward Smith]] (2014)
| [[Gene Ward Smith]] (2014)
|-
|-
| Hunt 11-cycle comma
| Hunt 11-cycle comma, 24-11-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 966: Line 999:
| {{monzo| 3 0 -1 1 -1 }}
| {{monzo| 3 0 -1 1 -1 }}
| 31.194
| 31.194
|  
|
|}
|}


Line 972: Line 1,005:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 1,000: Line 1,033:
| {{monzo| -1 3 0 0 0 -1 }}
| {{monzo| -1 3 0 0 0 -1 }}
| 65.337
| 65.337
|
|-
| [[65/63|Radius of tolerance (FJS)]]
| Thoruyo
| 3ory1
| 65 / 63
| {{monzo| 0 -2 1 -1 0 1 }}
| 54.105
|  
|  
|-
|-
Line 1,008: Line 1,049:
| {{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''
| [[Flora Canou]] (2020) for ''tridecimal quartertone'' <br>[[User:CompactStar|CompactStar]] (2023) for ''superflat comma''
|-
|-
| [[Tridecimal ennealimma]]
| [[Tridecimal ennealimma]]
| Tritritho
| Tritritho
| 3o<sup>9</sup>3
| 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)
Line 1,036: Line 1,077:
| [[351/343|Keladisma]]
| [[351/343|Keladisma]]
| Thotriru
| Thotriru
| 3or<sup>3</sup>-2
| 3o3r-2
| 351/343
| 351/343
| {{monzo| 0 3 0 -3 0 1 }}
| {{monzo| 0 3 0 -3 0 1 }}
Line 1,044: Line 1,085:
| 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 }}
Line 1,062: Line 1,103:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 1,074: Line 1,115:
| {{monzo| 1 2 0 0 0 0 -1 }}
| {{monzo| 1 2 0 0 0 0 -1 }}
| 98.955
| 98.955
|
|-
| [[68/65|Valentine semitone]]
| Sothugu
| 17o3ug2
| 68 / 65
| {{monzo| 2 0 -1 0 0 -1 1 }}
| 78.114
|  
|  
|-
|-
Line 1,086: Line 1,135:
| 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 1,110: Line 1,159:
| 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 1,132: Line 1,181:
| [[User:Xenllium|Xenllium]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| Hunt 17-cycle comma
| Hunt 17-cycle comma, 34-17-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 1,144: Line 1,193:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 1,166: Line 1,215:
| [[User:Xenllium|Xenllium]] (2019)
| [[User:Xenllium|Xenllium]] (2019)
|-
|-
| [[39/38|Undevicesimal 2/9-tone]]
| [[39/38|Undevicesimal diesis]], undevicesimal 2/9-tone
| Nutho
| Nutho
| 19u3o1
| 19u3o1
Line 1,186: Line 1,235:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 1,196: Line 1,245:
| 23o1u2
| 23o1u2
| 23 / 22
| 23 / 22
| 2.11.23 {{monzo| -1 -1 1 }}
| {{Monzo| -1 0 0 0 -1 0 0 0 1 }}
| 76.956
| 76.956
| [[Xenwolf]] (2020)
| [[Xenwolf]] (2020)
Line 1,204: Line 1,253:
| 23u1
| 23u1
| 24 / 23
| 24 / 23
| 2.3.23 {{monzo| 3 1 -1 }}
| {{Monzo| 3 1 0 0 0 0 0 0 -1 }}
| 73.681
| 73.681
| [[Xenwolf]] (2020)
| [[Xenwolf]] (2020)
|-
| [[299/289|Arrokothisma]]
| Twethosusutho
| 23o17uu3o1
| 299 / 289
| {{Monzo| 0 0 0 0 0 1 -2 0 1 }}
| 58.891
| [[User:Inisil|Iniðil]] (2024)
|-
|-
| [[2187/2116|Lipsett comma]]
| [[2187/2116|Lipsett comma]]
Line 1,212: Line 1,269:
| L23uu-2
| L23uu-2
| 2187 / 2116
| 2187 / 2116
| 2.3.23 {{monzo| -2 7 -2 }}
| {{Monzo| -2 7 0 0 0 0 0 0 -2 }}
| 57.136
| 57.136
| [[Budjarn Lambeth]] (2024)
| [[Budjarn Lambeth]] (2024)
|-
| [[253/247|Quaoarisma]]
| Twethonuthulo
| 23o19u3u1o1
| 253 / 247
| {{Monzo| 0 0 0 0 1 -1 0 -1 1 }}
| 41.552
| [[User:Inisil|Iniðil]] (2025)
|-
|-
| [[46/45|Vicesimotertial 1/5-tone]]
| [[46/45|Vicesimotertial 1/5-tone]]
Line 1,220: Line 1,285:
| 23og2
| 23og2
| 46 / 45
| 46 / 45
| 2.3.5.23 {{monzo| 1 -2 -1 1 }}
| {{Monzo| 1 -2 -1 0 0 0 0 0 1 }}
| 38.051
| 38.051
| [[User:Flirora|Flirora]] (2023)
| [[User:Flirora|Flirora]] (2023)
|-
|}
|}


Line 1,235: Line 1,299:
! 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]]
Line 1,266: Line 1,338:
| 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
| Latrithiwo
| L31o<sup>3</sup>-3
| L3(31o)-3
| 268119 / 262144
| 268119 / 262144
| 2.3.31 {{monzo| -18 2 3 }}
| 2.3.31 {{monzo| -18 2 3 }}
Line 1,282: Line 1,362:
| 36.743
| 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]]
| [[261/256|Vicesimononal comma]]
Line 1,298: Line 1,394:
| 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)
|}
|}


== Notes ==
== References ==
<references />


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