Xenharmonic Wiki

Medium comma: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
Add systematic names for the Hunt commas
 
(79 intermediate revisions by 10 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 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)
| [[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 }}
| 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 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 316: Line 317:
| [[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 }}
| 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 }}
| 53.074
| 53.074
|
|-
| [[Magus comma]]
| Salegu
| s11g4
| 50331648 / 48828125
| {{Monzo| 24 1 -11 }}
| 52.504
|  
|  
|-
|-
| [[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 366:
|-
|-
| [[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 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 386: Line 403:
| {{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 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 406: 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 414: 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 422: 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 428: Line 445:
| [[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 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 446: 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 462: 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 472: 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 480: 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 487: Line 504:
|-
|-
| [[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 }}
| 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 504: 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 520: 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 526: Line 543:
|  
|  
|-
|-
| Laruru negative 2nd
| [[6561/6272]]
| Laruru
| Laruru
| Lrr-2
| Lrr-2
Line 536: 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 542: 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 }}
| 76.756
| 76.756
|  
| [[User:OffsuitKnave|OffsuitKnave]] (2022)
|-
|-
| [[256/245|Bapbo comma]]
| [[256/245|Bapbo comma]]
Line 556: Line 573:
| {{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 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 574: Line 591:
|  
|  
|-
|-
| <strike>slendro integer cents comma</strike>{{clarify}}
| 400-7-comma
|
|
|
|
Line 584: 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 591: Line 608:
|-
|-
| [[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 }}
| 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 616: 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 623: Line 640:
|-
|-
| [[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)
|  
|-
|-
| [[405/392|Greenwoodma]]
| [[405/392|Greenwoodma]]
Line 636: 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 656: 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 664: 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 680: 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 686: 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|+merlan #flirora]] (2021)
|-
|-
| [[525/512|Avicennma]], Avicenna's enharmonic diesis
| [[525/512|Avicennma]], Avicenna's enharmonic diesis
Line 708: Line 733:
| {{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 }}
| 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 728: 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 734: Line 767:
|  
|  
|-
|-
| [[49/48|Slendro diesis]]
| [[49/48|Semaphoresma]], large septimal diesis, slendro diesis
| Zozo
| Zozo
| zz2
| zz2
Line 744: 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 750: 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 758: 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 766: 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 776: 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 784: 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 794: 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 801: Line 842:
|-
|-
| [[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 866:
|-
|-
| [[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 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 849: Line 890:
|-
|-
| [[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 897:
| [[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 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]]
|  
| Luzogugu
|  
| 1uzgg2
| 567 / 550
| 567 / 550
| {{monzo| -1 4 -2 1 -1 }}
| {{monzo| -1 4 -2 1 -1 }}
Line 872: Line 913:
| [[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 930:
|-
|-
| [[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 962:
|-
|-
| [[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 983:
| {{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, 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 950: Line 999:
| {{monzo| 3 0 -1 1 -1 }}
| {{monzo| 3 0 -1 1 -1 }}
| 31.194
| 31.194
|  
|
|}
|}


Line 956: 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 962: Line 1,011:
! 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 1,024:
| 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 1,035:
|  
|  
|-
|-
| [[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 1,049:
| {{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''
|-
|-
| [[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 1,076:
|-
|-
| [[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 1,085:
| 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 }}
| 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 1,038: 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 1,044: Line 1,109:
! 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 1,117:
|  
|  
|-
|-
| [[88/85|Sette comma]]
| [[68/65|Valentine semitone]]
|  
| Sothugu
| 17o3ug2
| 68 / 65
| {{monzo| 2 0 -1 0 0 -1 1 }}
| 78.114
|  
|  
|-
| [[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 1,147:
| {{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 1,155:
| {{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 1,171:
| {{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 1,179:
| {{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, 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 1,120: 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 1,132: Line 1,205:
| {{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 1,213:
| {{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 1,221:
| {{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 1,162: 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 1,172: 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)
|-
|-
| [[24/23|Small vicesimotertial semitone]]
| [[24/23|Small vicesimotertial semitone]]
Line 1,180: 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)
|-
| [[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]]
|  
| Labitwethu
|  
| 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 1,196: 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)
|-
|}
|}


Line 1,211: 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]]
|  
| Safoso
|  
| s47o2
| 752 / 729
| 752 / 729
| 2.3.47 {{monzo| 4 -6 1 }}
| 2.3.47 {{monzo| 4 -6 1 }}
Line 1,228: Line 1,324:
|-
|-
| [[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 1,338:
| 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
|  
| 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 1,363:
| [[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 1,394:
| 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}}
Retrieved from "https://en.xen.wiki/w/Medium_comma"