Xenharmonic Wiki

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{{interwiki
A '''small comma''' is a [[comma]] whose size is approximately between 3.5 and 30 cents. These intervals are in the range from just noticeable up to usable as melodic steps. The actual perception of course varies.
| de = Komma
| en = Comma
| es =
| ja =
}}
== Definition ==
A '''comma''' is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1/1 (0 [[cent]]s) and not a power such as a square or cube of any other interval, and generally in a low [[prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is ''[[tempered out]]'', which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between [[10/9]] and [[9/8]], as well as [[81/64]] and [[5/4]], is tempered out by [[meantone]] temperament. Commas are usually written as [[ratio]]s, but they can also be written as [[monzo]]s. The following lists mostly give both forms, as well as the size in [[cent]]s. The [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out, except for 3-limit commas, which create [[edo]]s.


For commas over 100 cents in size, see [[Large comma]]s; for commas in between 30 and 100 cents in size, see [[Medium comma]]s; and for commas under 3.5 cents in size, see [[Unnoticeable comma]]s
For commas over 100 cents in size, see [[Large comma]]; for commas in between 30 and 100 cents in size, see [[Medium comma]]; and for commas under 3.5 cents in size, see [[Unnoticeable comma]].


Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[conventions|convention]] elsewhere on the wiki.
Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[Xenharmonic Wiki: Conventions|convention]] elsewhere on the wiki.
 
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 ==
=== 3-limit commas ===
=== 3-limit commas ===
{{See also| Table of 3-limit commas }}


{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" |[[Color notation/Temperament Names|Color Name]]
! colspan="2" |[[Color notation/Temperament names|Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Named by
|-
|-
| 65-comma
| 241-comma
| wa-65 comma
| Wa-241
| w-241
|
| {{Monzo| 382 -241 }}
| 28.845
|
|-
| 65-comma, <br>Pythagorean septimal comma
| Wa-65
| w-65
| w-65
|
| {{Monzo| -103 65 }}
| 27.075
|  
|  
| {{monzo| -103 65}}
|27.075
|-
|-
| [[Pythagorean comma]]
| [[Pythagorean comma]]
| lalawa comma
| Lalawa
or wa comma
| LLw-2
| LLw-2
| 531441 / 524288
| 531441 / 524288
| {{Monzo| -19 12 }}
| {{Monzo| -19 12 }}
| 23.460
| 23.460
|
|-
|-
| [[41-comma]]
| [[41-comma]], Pythagorean countercomma, <br>countercomp comma
| wa-41 comma
| Wa-41
| w-41
| w-41
| 36893488147419103232 /<br>36472996377170786403
| <abbr title="36893488147419103232 / 36472996377170786403">(40 digits)</abbr>
| {{Monzo| 65 -41 }}
| {{Monzo| 65 -41 }}
| 19.845
| 19.845
| [[Flora Canou]] (2022)
|-
|-
| 94-comma
| [[94-comma]], garistearn comma
| wa-94 comma
| Wa-94
| w-94
| w-94
|
|
| {{monzo| 149 -94 }}
| {{Monzo| 149 -94 }}
| 16.230
| 16.230
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 200-comma, Pythagorean integer cents comma <!-- the meaning of "integer cents" is ambiguous, because this comma is both near an integer in cents and involves integer cent fifths (702 cents), causing that term to be inconsistently used for one or the other -->
| 147-comma
| wa-200 comma
| Wa-147
| w-147
|
| {{Monzo| 233 -147 }}
| 12.615
|
|-
| 200-comma, <br>Pythagorean integer-cent ET comma
| Wa-200
| w-200
| w-200
|  
|
| {{Monzo| 317 -200 }}
| {{Monzo| 317 -200 }}
| 8.9998
| 8.9998
|
|-
| 253-comma
| Wa-253
| w-253
|
| {{Monzo| 401 -253 }}
| 5.3848
|
|-
|-
| [[Mercator's comma]], 53-comma
| [[Mercator's comma]], 53-comma
| wa-53 comma
| Wa-53
| w-53
| w-53
| 19383245667680019896796723 /<br>19342813113834066795298816
| <abbr title="19383245667680019896796723 / 19342813113834066795298816">(52 digits)</abbr>
| {{Monzo| -84 53 }}
| {{Monzo| -84 53 }}
| 3.6150
| 3.6150
|-
|  
| 51-[[Pythagorean comma]]
|
|
|
| {{monzo|-970 612}}
| 3.5395
|}
|}


=== 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 notation/Temperament names|Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Named by
|-
|-
| small diesis, [[magic comma]]
| [[Magic comma]], small diesis
| Laquinyo
| Laquinyo
| Ly<sup>5</sup>-2
| L5y-2
| 3125/3072
| 3125 / 3072
| {{Monzo| -10 -1 5 }}
| {{Monzo| -10 -1 5 }}
| 29.614
| 29.614
|
|-
|-
| 11-15-comma, hendecatonic comma
| [[Hendecatonic comma]]
| Trisa-legu
| Trisa-legu
| s<sup>3</sup>g<sup>11</sup>5
| 3s11g5
| 8796093022208 / 8649755859375
| 8796093022208 / 8649755859375
| {{Monzo| 43 -11 -11 }}
| {{Monzo| 43 -11 -11 }}
| 29.044
| 29.044
|
|-
|-
| minimal diesis, [[tetracot comma]]
| [[Tetracot comma]], minimal diesis
| Saquadyo
| Saquadyo
| sy<sup>4</sup>1
| s4y1
| 20000 / 19683
| 20000 / 19683
| {{Monzo| 5 -9 4 }}
| {{Monzo| 5 -9 4 }}
| 27.660
| 27.660
|
|-
|-
| semaja
| [[Semaja comma]]
| Lalaneyo
| Lalaneyo
| LLy<sup>19</sup>-5
| LL19y-5
| 19073486328125 / 18786186952704
| 19073486328125 / 18786186952704
| {{Monzo| -33 -7 19 }}
| {{Monzo| -33 -7 19 }}
| 26.276
| 26.276
| [[Petr Pařízek]] (2011)
|-
|-
| quanic comma
| [[Quanic comma]]
| Sepsa-quinyo
| Sepsa-quinyo
| s<sup>7</sup>y<sup>5</sup>5
| 7s5y5
|  
|  
| {{Monzo| 74 -54 5 }}
| {{Monzo| 74 -54 5 }}
| 25.999
| 25.999
|
|-
|-
| roda
| [[Roda]], rodan comma
| Sasa-triyo
| Sasa-triyo
| ssy<sup>3</sup>2
| ss3y2
| 131072000 / 129140163
| 131072000 / 129140163
| {{Monzo| 20 -17 3 }}
| {{Monzo| 20 -17 3 }}
| 25.706
| 25.706
|
|-
| Gracecordial comma
| Trilayo
| 3Ly-3
| 17433922005 / 17179869184
| {{Monzo| -34 20 1 }}
| 25.414
|
|-
|-
| [[Trisedodge family|trisedodge comma]]
| [[Trisedodge comma]]
| Saquintrigu
| Saquintrigu
| sg<sup>15</sup>4
| s15g4
| 30958682112 / 30517578125
| 30958682112 / 30517578125
| {{Monzo| 19 10 -15 }}
| {{Monzo| 19 10 -15 }}
| 24.844
| 24.844
| [[Petr Pařízek]] (2011)
|-
|-
| maja
| [[Birds comma]]
| Quadsa-thiwegu
| 4s31g9
|
| {{Monzo| 72 0 -31 }}
| 24.275
|
|-
| [[Neuk comma]]
| Trisa-yoyo
| 3syy3
| 858993459200 / 847288609443
| {{Monzo| 35 -25 2 }}
| 23.752
| [[User:CompactStar|CompactStar]] (2023)
|-
| [[Maja comma]]
| Saseyo
| Saseyo
| sy<sup>17</sup>-3
| s17y-3
| 762939453125 / 753145430616
| 762939453125 / 753145430616
| {{Monzo| -3 -23 17 }}
| {{Monzo| -3 -23 17 }}
| 22.368
| 22.368
| [[Petr Pařízek]] (2011)
|-
|-
| [[Garischismic temperaments|satin comma]]
| [[Satin comma]]
| Quinbisa-triyo
| Quinbisa-triyo
| s<sup>10</sup>y<sup>3</sup>7
| 10s3y7
|  
|  
| {{Monzo| 104 -70 3 }}
| {{Monzo| 104 -70 3 }}
| 22.091
| 22.091
|
|-
|-
| misneb
| [[Misneb comma]]
| Quadla-quintriyo
| Quadla-quintriyo
| L<sup>4</sup>y<sup>15</sup>-6
| 4L15y-6
|
| <abbr title="145964630126953125 / 144115188075855872">(36 digits)</abbr>
| {{Monzo| -57 14 15 }}
| {{Monzo| -57 14 15 }}
| 22.076
| 22.076
| [[Petr Pařízek]] (2011)
|-
|-
| syntonic / Didymos / meantone comma
| [[Syntonic comma]], Didymus comma, meantone comma
| Gu or Meantone
| Gu
| g1
| g1
| [[81/80]]
| 81 / 80
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| 21.506
| 21.506
|
|-
|-
| [[Maquila family|maquila comma]]
| [[Maquila comma]]
| Trisa-segu
| Trisa-segu
| s<sup>3</sup>g<sup>17</sup>6
| 3s17g6
| 562949953421312 / 556182861328125
| 562949953421312 / 556182861328125
| {{Monzo| 49 -6 -17 }}
| {{Monzo| 49 -6 -17 }}
| 20.937
| 20.937
| [[Petr Pařízek]] (2011)
|-
| [[Sfourth comma]]
| Lala-negu
| LL19g3
| 617673396283947 / 610351562500000
| {{Monzo| -5 31 -19 }}
| 20.644
| [[Petr Pařízek]] (2011)
|-
|-
| [[diaschisma]]
| [[Diaschisma]]
| Sagugu
| Sagugu
| sgg2
| sgg2
| 2048/2025
| 2048 / 2025
| {{Monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
| 19.553
| 19.553
| Hermann von Helmholtz, Alexander Ellis (1875)
|-
|-
| [[countermeantone comma]]
| [[Countermeantone comma]]
| Quinquadgu
| Quinquadgu
| g<sup>20</sup>4
| 20g4
| 96402615118848 / 95367431640625
| 96402615118848 / 95367431640625
| {{Monzo| 10 23 -20 }}
| {{Monzo| 10 23 -20 }}
| 18.691
| 18.691
| [[Petr Pařízek]] (2012)
|-
|-
| ditonma
| [[Ditonma]]
| Lala-theyo
| Lala-theyo
| LLy<sup>13</sup>-4
| LL13y-4
| 1220703125 / 1207959552
| 1220703125 / 1207959552
| {{Monzo| -27 -2 13 }}
| {{Monzo| -27 -2 13 }}
| 18.168
| 18.168
| [[Petr Pařízek]] (2011)
|-
|-
| [[misty comma]]
| [[Misty comma]]
| Sasa-trigu
| Sasa-trigu
| ssg<sup>3</sup>3
| ss3g3
| 67108864 / 66430125
| 67108864 / 66430125
| {{Monzo| 26 -12 -3 }}
| {{Monzo| 26 -12 -3 }}
| 17.599
| 17.599
| [[Paul Erlich]] (2002)
|-
|-
| [[Pental family|pental comma]]
| [[Quintile comma]]
| Trila-quingu
| Trila-quingu
| L<sup>3</sup>g<sup>5</sup>-2
| 3L5g-2
| 847288609443 / 838860800000
| 847288609443 / 838860800000
| {{Monzo| -28 25 -5 }}
| {{Monzo| -28 25 -5 }}
| 17.306
| 17.306
| See the dedicated page.
|-
|-
| undim comma
| [[Enneadecacot comma]]
| Tribisa-negu
| 6s19g8
| 562949953421312 / 557439598640741
| {{monzo| 79 -22 -19 }}
| 17.029
| [[User:CompactStar|CompactStar]] (2024)
|-
| [[Oquatonic comma]]
| Quadla-sepquadyo
| 4L28y-8
| <abbr title="37252902984619140625 / 36893488147419103232">(40 digits)</abbr>
| {{Monzo| -65 0 28 }}
| 16.784
| [[Petr Pařízek]] (2011)
|-
| [[Undim comma]]
| Trisa-quadgu
| Trisa-quadgu
| s<sup>3</sup>g<sup>4</sup>4
| 3s4g4
| 2199023255552 / 2179240250625
| 2199023255552 / 2179240250625
| {{Monzo| 41 -20 -4 }}
| {{Monzo| 41 -20 -4 }}
| 15.645
| 15.645
| [[Petr Pařízek]] (2011)
|-
|-
| [[graviton]], [[Gravity family|gravity]] comma
| [[Graviton]], gravity comma
| Lala-tribigu
| Lala-tribigu
| LLg<sup>6</sup>1
| LL6g1
| 129140163 / 128000000
| 129140163 / 128000000
| {{Monzo| -13 17 -6 }}
| {{Monzo| -13 17 -6 }}
| 15.353
| 15.353
| [[Mike Battaglia]] (2011)
|-
|-
| majvam
| [[Majvam comma]]
| Sasa-lebigu
| Sasa-lebigu
| ssg<sup>22</sup>6
| ss22g6
|
| <abbr title="2404631929946112 / 2384185791015625">(32 digits)</abbr>
| {{Monzo| 40 7 -22 }}
| {{Monzo| 40 7 -22 }}
| 14.783
| 14.783
| [[Petr Pařízek]] (2011)
|-
|-
| quartonic
| [[Quartonic comma]]
| Saleyo
| Saleyo
| sy<sup>11</sup>-2
| s11y-2
| 390625000 / 387420489
| 390625000 / 387420489
| {{Monzo| 3 -18 11 }}
| {{Monzo| 3 -18 11 }}
| 14.261
| 14.261
|
|-
|-
| untritonic comma
| [[Untritonic comma]]
| Quadla-tritriyo
| Quadla-tritriyo
| L<sup>4</sup>y<sup>9</sup>-5
| 4L9y-5
|
| <abbr title="2270041927734375 / 2251799813685248">(32 digits)</abbr>
| {{Monzo| -51 19 9 }}
| {{Monzo| -51 19 9 }}
| 13.968
| 13.968
| [[Petr Pařízek]] (2011)
|-
| [[Quindromeda comma]]
| Quinsa-quingu
| 5s5g5
| <abbr title="72057594037927936 / 71489976421753125">(34 digits)</abbr>
| {{Monzo| 56 -28 -5 }}
| 13.691
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| medium semicomma, [[sensipent comma]]
| [[Sensipent comma]], medium semicomma
| Sepgu
| Sepgu
| g<sup>7</sup>2
| 7g2
| 78732 / 78125
| 78732 / 78125
| {{Monzo| 2 9 -7 }}
| {{Monzo| 2 9 -7 }}
| 13.399
| 13.399
|
|-
| [[Copper comma]]
| Theneyo
| 41L29y-33
|
| {{Monzo| -481 261 29 }}
| 13.353
| [[Eliora]] (2023)
|-
|-
| [[tertiosec comma]]
| [[Counterwürschmidt comma]]
| Trisa-twethegu
| 3s23g7
| <abbr title="36028797018963968 / 35762786865234375">(34 digits)</abbr>
| {{Monzo| 55 -1 -23 }}
| 12.830
| [[Flora Canou]] (2023)
|-
| [[Tertiosec comma]]
| Laquadtribiyo
| Laquadtribiyo
| L<sup>6</sup>y<sup>24</sup>-9
| 6L24y-9
|  
|  
| {{Monzo| -89 21 24 }}
| {{Monzo| -89 21 24 }}
| 12.584
| 12.584
| [[Petr Pařízek]] (2012)
|-
|-
| [[Würschmidt comma]]
| [[Würschmidt comma]]
| Saquadbigu
| Saquadbigu
| sg<sup>8</sup>3
| s8g3
| 393216 / 390625
| 393216 / 390625
| {{Monzo| 17 1 -8 }}
| {{Monzo| 17 1 -8 }}
| 11.445
| 11.445
|
|-
| [[Bicommatic comma]]
| Quadla-quinbigu
| 4L10g-2
| <abbr title="1350851717672992089 / 1342177280000000000">(38 digits)</abbr>
| {{Monzo| -37 38 -10 }}
| 11.153
|
|-
|-
| [[counterhanson comma]]
| [[Counterhanson comma]]
| Quinquinyo
| Quinquinyo
| y<sup>25</sup>-5
| 25y-5
|
| <abbr title="298023223876953125 / 296148833645101056">(36 digits)</abbr>
| {{Monzo| -20 -24 25 }}
| {{Monzo| -20 -24 25 }}
| 10.923
| 10.923
| [[Petr Pařízek]] (2012)
|-
|-
| [[semicomma]], Fokker comma
| [[Countritonic comma]]
| Quadsa-tritriyo
| 4s9y2
| <abbr title="16777216000000000 / 16677181699666569">(34 digits)</abbr>
| {{Monzo| 33 -34 9 }}
| 10.353
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Semicomma]], Fokker's comma
| Lasepyo
| Lasepyo
| Ly<sup>7</sup>-3
| L7y-3
| 2109375 / 2097152
| 2109375 / 2097152
| {{Monzo| -21 3 7 }}
| {{Monzo| -21 3 7 }}
| 10.061
| 10.061
|
|-
| [[Heptacot comma]]
| Sepsa-sepgu
| 7s7g7
|
| {{Monzo| 86 -44 -7 }}
| 9.7840
| [[Tristan Bay]] (2024)
|-
|-
| [[escapade comma]]
| [[Escapade comma]]
| Sasa-tritrigu
| Sasa-tritrigu
| ssg<sup>9</sup>4
| ss9g4
| 4294967296 / 4271484375
| 4294967296 / 4271484375
| {{Monzo| 32 -7 -9 }}
| {{Monzo| 32 -7 -9 }}
| 9.4916
| 9.4916
| [[Paul Erlich]] (2002)
|-
|-
| [[kleisma]], semicomma majeur
| [[15625/15552|Kleisma]], semicomma majeur
| Tribiyo
| Tribiyo
| y<sup>6</sup>-2
| 6y-2
| 15625 / 15552
| 15625 / 15552
| {{Monzo| -6 -5 6 }}
| {{Monzo| -6 -5 6 }}
| 8.1073
| 8.1073
| {{W|Shohé Tanaka}} (1890)
|-
|-
| [[Qintosec family|qintosec comma]]
| [[Quintosec comma]]
| Quadsa-quinbigu
| Quadsa-quinbigu
| s<sup>4</sup>g<sup>10</sup>5
| 4s10g5
| 140737488355328 / 140126044921875
| 140737488355328 / 140126044921875
| {{Monzo| 47 -15 -10 }}
| {{Monzo| 47 -15 -10 }}
| 7.5378
| 7.5378
| [[Petr Pařízek]] (2012)
|-
|-
| 59-5-comma
| 59-5-comma
|
| Quadbisa-finegu
|  
| 8s59g16
|  
|  
| {{Monzo| 137 0 -59 }}
| {{Monzo| 137 0 -59 }}
| 7.4909
| 7.4909
|
|-
|-
| unidecma
| [[Unidecma]]
| Laquadtrigu
| Laquadtrigu
| Lg<sup>12</sup>2
| L12g2
| 31381059609 / 31250000000
| 31381059609 / 31250000000
| {{Monzo| -7 22 -12 }}
| {{Monzo| -7 22 -12 }}
| 7.2455
| 7.2455
|
|-
|-
| [[mutt comma]]
| [[Mutt comma]]
| Trila-septriyo
| Trila-septriyo
| L<sup>3</sup>y<sup>21</sup>-6
| 3L21y-6
| 476837158203125 / 474989023199232
| 476837158203125 / 474989023199232
| {{Monzo| -44 -3 21 }}
| {{Monzo| -44 -3 21 }}
| 6.7230
| 6.7230
| [[Gene Ward Smith]] (2004)
|-
| [[Sulfur comma]]
| Lela-quadquadgu
| 11L16g-6
|
| {{Monzo| -115 96 -16 }}
| 6.6607
|
|-
|-
| [[amity comma]]
| [[Amity comma]]
| Saquinyo
| Saquinyo
| sy<sup>5</sup>1
| s5y1
| 1600000 / 1594323
| 1600000 / 1594323
| {{Monzo| 9 -13 5 }}
| {{Monzo| 9 -13 5 }}
| 6.1536
| 6.1536
| [[Gene Ward Smith]] (2001)
|-
|-
| [[parakleisma]]
| [[Parakleisma]]
| Thegu
| Thegu
| g<sup>13</sup>3
| 13g3
| 1224440064 / 1220703125
| 1224440064 / 1220703125
| {{Monzo| 8 14 -13 }}
| {{Monzo| 8 14 -13 }}
| 5.2917
| 5.2917
| [[Gene Ward Smith]] (2001)
|-
|-
| gammic comma
| [[Gammic comma]]
| Laquinquadyo
| Laquinquadyo
| Ly<sup>20</sup>-5
| L20y-5
| 95367431640625 / 95105071448064
| 95367431640625 / 95105071448064
| {{Monzo| -29 -11 20 }}
| {{Monzo| -29 -11 20 }}
| 4.7693
| 4.7693
|
|-
|-
| [[squarschmidt comma]]
| [[Squarschmidt comma]]
| Quadsa-twenty-negu
| Quadsa-twenegu
| s<sup>4</sup>g<sup>29</sup>8
| 4s29g8
|
| <abbr title="186773283746309210112 / 186264514923095703125">(42 digits)</abbr>
| {{Monzo| 61 4 -29 }}
| {{Monzo| 61 4 -29 }}
| 4.7223
| 4.7223
| [[Petr Pařízek]] (2012)
|-
|-
| Huntian 15-cycle comma
| Huntian 15-cycle comma
| Quadtrisa-forty-thegu
| Quadtrisa-fothegu
| s<sup>12</sup>g<sup>43</sup>16
| 12s43g16
|  
|  
| {{Monzo| 168 -43 -43 }}
| {{Monzo| 168 -43 -43 }}
| 4.4453
| 4.4453
|
|-
|-
| 56-syntonic comma
| [[Barium comma]]
| Quadtribila-sepquadbigu
| Quadtribila-sepquadbigu
| L<sup>24</sup>g<sup>56</sup>-8
| 24L56g-8
|  
|  
| {{Monzo| -225 224 -56 }}
| {{Monzo| -225 224 -56 }}
| 4.3522
| 4.3522
| [[Eliora]] (2023)
|-
|-
| [[vulture comma]]
| [[Vulture comma]]
| Sasa-quadyo
| Sasa-quadyo
| ssy<sup>4</sup>2
| ss4y2
| 10485760000 / 10460353203
| 10485760000 / 10460353203
| {{Monzo| 24 -21 4 }}
| {{Monzo| 24 -21 4 }}
| 4.1998
| 4.1998
| [[Paul Erlich]] (2002)
|-
| [[Dipromethia]]
| Thebila-siweyo
| 26L61y-28
|
| {{Monzo| -335 122 61 }}
| 3.6467
| [[Eliora]] (2023)
|-
|-
| [[lafa comma]]
| [[Lafa comma]]
| Tribisa-quadtrigu
| Tribisa-quadtrigu
| s<sup>6</sup>g<sup>12</sup>7
| 6s12g7
|
|
| {{Monzo| 77 -31 -12 }}
| {{Monzo| 77 -31 -12 }}
| 3.6304
| 3.6304
| [[Petr Pařízek]] (2011)
|}
|}


=== 7-limit commas ===
=== 7-limit commas ===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" | [[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color notation/Temperament names|Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Named by
|-
| [[3645/3584|Schismean comma]]
| Laruyo
| Lry-2
| 3645 / 3584
| {{Monzo| -9 6 1 -1 }}
| 29.218
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Doublehearted comma]]
| Quadbizo
| 8z5
| 5764801 / 5668704
| {{Monzo| -5 -11 0 8 }}
| 29.102
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Frostburn comma]]
| Quadru-asepyo
| 4ra7y-4
| 78125 / 76832
| {{Monzo| -5 0 7 -4 }}
| 28.892
|
|-
|-
| senga
| [[686/675|Senga]]
| Trizo-agugu
| Trizo-agugu
| z<sup>3</sup>gg3
| 3zagg3
| 686/675
| 686 / 675
| {{Monzo| 1 -3 -2 3 }}
| {{Monzo| 1 -3 -2 3 }}
| 27.985
| 27.985
| [[Gene Ward Smith]] (2005)
|-
|-
| 23-21-comma
| 23-21-comma
| Sepla-twentythezo
| Sepla-twethezo
| L<sup>7</sup>z<sup>23</sup>7
| 7L23z7
|  
|  
| {{Monzo| -101 23 0 23 }}
| {{Monzo| -101 23 0 23 }}
| 27.961
| 27.961
|
|-
|-
| septimal / Archytas' comma, Leipziger Komma
| [[64/63|Septimal comma]], Archytas' comma, Leipziger Komma
| Ru
| Ru
| r1
| r1
| [[64/63]]
| 64 / 63
| {{Monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
| 27.264
| 27.264
|
|-
|-
| mandos
| [[Mandos comma]]
| Birugugu
| Birugugu
| rrg<sup>4</sup>1
| 2rgg1
| 31104 / 30625
| 31104 / 30625
| {{Monzo| 7 5 -4 -2 }}
| {{Monzo| 7 5 -4 -2 }}
| 26.868
| 26.868
|
|-
| [[Slither comma]]
| Satritriru-aquadyo
| s9ra4y-5
| 40960000 / 40353607
| {{Monzo| 16 0 4 -9 }}
| 25.822
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Bastille comma]]
|
|
|
| {{Monzo| 1426 0 -596 -15 }}
| 24.638
| [[Eliora]] (2023)
|-
|-
| 33-7/5-comma
| 33-7/5-comma
|
| Letrizogu
|
| 33zg21
|  
|  
| {{Monzo| -16 0 -33 33 }}
| {{Monzo| -16 0 -33 33 }}
| 22.902
| 22.902
|
|-
|-
| Huntian 35-cycle comma
| Huntian 35-cycle comma
|
| Quintrisa-tritritribirugu
|
| 15s54rg-6
|  
|  
| {{Monzo| 277 0 -54 -54 }}
| {{Monzo| 277 0 -54 -54 }}
| 22.461
| 22.461
|
|-
|-
| blackjackisma
| [[Blackjackisma]]
| Lasepru-aquadbiyo
| Lasepru-aquadbiyo
| Lr<sup>7</sup>y<sup>8</sup>-6
| L7ra8y-6
| 854296875 / 843308032
| 854296875 / 843308032
| {{Monzo| -10 7 8 -7 }}
| {{Monzo| -10 7 8 -7 }}
| 22.413
| 22.413
| [[Gene Ward Smith]] (2011)
|-
|-
| squalentine
| [[Squalentine comma]]
| Laquadzo-atrigu
| Laquadzo-atrigu
| Lz<sup>4</sup>g<sup>3</sup>3
| L4za3g3
| 64827 / 64000
| 64827 / 64000
| {{Monzo| -9 3 -3 4 }}
| {{Monzo| -9 3 -3 4 }}
| 22.227
| 22.227
|
|-
|-
| keema
| [[875/864|Keema]]
| Zotriyo
| Zotriyo
| zy<sup>3</sup>1
| z3y1
| 875/864
| 875 / 864
| {{Monzo| -5 -3 3 1 }}
| {{Monzo| -5 -3 3 1 }}
| 21.902
| 21.902
| [[Gene Ward Smith]] (2005)
|-
| [[Betelgeuse comma]]
| Satritrizo-agugu
| s9zagg6
| 40353607 / 39858075
| {{Monzo| 0 -13 -2 9 }}
| 21.391
|
|-
|-
| gariboh
| [[3125/3087|Gariboh comma]]
| Triru-aquinyo
| Triru-aquinyo
| r<sup>3</sup>y<sup>5</sup>-3
| 3ra5y-3
| 3125/3087
| 3125 / 3087
| {{Monzo| 0 -2 5 -3 }}
| {{Monzo| 0 -2 5 -3 }}
| 21.181
| 21.181
| [[Gene Ward Smith]] (2005)
|-
| [[Secanticornisma]]
| Laruquingu
| Lr5g1
| 177147 / 175000
| {{Monzo| -3 11 -5 -1 }}
| 21.111
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| nuwell
| [[2430/2401|Nuwell comma]]
| Quadru-ayo
| Quadru-ayo
| r<sup>4</sup>y-3
| 4ray-3
| 2430/2401
| 2430 / 2401
| {{Monzo| 1 5 1 -4 }}
| {{Monzo| 1 5 1 -4 }}
| 20.785
| 20.785
| [[Gene Ward Smith]] (2005)
|-
| [[Mermisma]]
| Sepruyo
| 7ry-5
| 2500000 / 2470629
| {{Monzo| 5 -1 7 -7 }}
| 20.460
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| small quadruple bluish
| [[Negricorn comma]], small quadruple bluish
| Saquadzogu
| Saquadzogu
| sz<sup>4</sup>g<sup>4</sup>4
| s4zg4
| 153664 / 151875
| 153664 / 151875
| {{Monzo| 6 -5 -4 4 }}
| {{monzo| 6 -5 -4 4 }}
| 20.274
| 20.274
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| tolerma
| [[Tolerant comma]]
| Sazoyoyo
| Sazoyoyo
| szyy2
| szyy2
Line 470: Line 719:
| {{Monzo| 10 -11 2 1 }}
| {{Monzo| 10 -11 2 1 }}
| 19.948
| 19.948
|
|-
|-
| 25-36/35-comma, icosipentatonic comma
| [[Icosipentatonic comma]], 25-36/35-comma
| Quinquinrugu
| Quinquinrugu
| r<sup>25</sup>g<sup>25</sup>-8
| 25rg-8
|  
|  
| {{Monzo| 49 50 -25 -25 }}
| {{Monzo| 49 50 -25 -25 }}
| 19.26
| 19.260
|
|-
| [[Valenwuer comma]]
| Sarutribigu
| sr6g1
| 110592 / 109375
| {{Monzo| 12 3 -6 -1 }}
| 19.157
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Buzzardsma]], buzzard comma
| Saquadru
| s4r-2
| 65536 / 64827
| {{Monzo| 16 -3 0 -4 }}
| 18.831
| See the page.
|-
|-
| Huntian 21-cycle comma
| Huntian 21-cycle comma
|
| Quadbisa-sepquadru
|
| 8s28r-8
|  
|  
| {{Monzo| 123 -28 0 -28 }}
| {{Monzo| 123 -28 0 -28 }}
| 18.135
| 18.135
|
|-
|-
| mirwomo
| [[Mirwomo comma]]
| Labizoyo
| Labizoyo
| Lzzyy1
| L2zy1
| 33075 / 32768
| 33075 / 32768
| {{Monzo| -15 3 2 2 }}
| {{Monzo| -15 3 2 2 }}
| 16.144
| 16.144
|
|-
|-
| trimyna
| [[Catasyc comma]]
| Laruquadbiyo
| Lr8y-3
| 390625 / 387072
| {{Monzo| -11 -3 8 -1 }}
| 15.819
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Compass comma]]
| Quinruyoyo
| 5ryy-5
| 9765625 / 9680832
| {{monzo| -6 -2 10 -5 }}
| 15.098
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Trimyna comma]]
| Quinzogu
| Quinzogu
| z<sup>5</sup>g<sup>5</sup>4
| 5zg4
| 50421 / 50000
| 50421 / 50000
| {{Monzo| -4 1 -5 5 }}
| {{monzo| -4 1 -5 5 }}
| 14.516
| 14.516
|
|-
|-
| sensamagic
| [[245/243|Sensamagic comma]]
| Zozoyo
| Zozoyo
| zzy2
| zzy2
| [[245/243]]
| 245 / 243
| {{Monzo| 0 -5 1 2 }}
| {{monzo| 0 -5 1 2 }}
| 14.191
| 14.191
| [[Gene Ward Smith]] (2010)
|-
|-
| septimal semicomma, starling comma
| [[126/125|Starling comma]], septimal semicomma
| Zotrigu
| Zotrigu
| zg<sup>3</sup>2
| z3g2
| [[126/125]]
| 126 / 125
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| 13.795
| 13.795
|
|-
|-
| slendro 34-comma
| Slendro 34-comma
|
| Quinla-sequadzo
|
| 5L68z28
|  
|  
| {{Monzo| -137 -34 0 68 }}
| {{Monzo| -137 -34 0 68 }}
| 13.692
| 13.692
|
|-
|-
| octagar
| [[4000/3969|Octagar comma]]
| Rurutriyo
| Rurutriyo
| rry<sup>3</sup>-2
| rr3y-2
| 4000/3969
| 4000 / 3969
| {{Monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
| 13.469
| 13.469
| [[Gene Ward Smith]] (2005)
|-
|-
| orwellisma, orwell comma
| [[1728/1715|Orwellisma]]
| Triru-agu
| Triru-agu
| r<sup>3</sup>g-2
| 3rag-2
| 1728/1715
| 1728 / 1715
| {{Monzo| 6 3 -1 -3 }}
| {{Monzo| 6 3 -1 -3 }}
| 13.074
| 13.074
|
|-
| [[Mynaslender comma]]
| Sepru-ayo
| 7ray-4
| 829440 / 823543
| {{Monzo| 11 4 1 -7 }}
| 12.352
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 35-7/5-comma
| 35-7/5-comma
|
| Sepquinruyo
|
| 35ry-22
|  
|  
| {{Monzo| 17 0 35 -35 }}
| {{monzo| 17 0 35 -35 }}
| 12.073
| 12.073
|
|-
|-
| [[218edo]] (stacked [[7/4]] and [[10/9]]) comma
| [[Chromatisma]]
| Trisa-triru-aquadquadyo
| Trisa-triru-aquadquadyo
| s<sup>3</sup>r<sup>3</sup>y<sup>16</sup>-3
| 3s3ra16y-3
| 640000000000000000 / 635585924776181463
| <abbr title="640000000000000000 / 635585924776181463">(36 digits)</abbr>
| {{Monzo| 22 -32 16 -3 }}
| {{Monzo| 22 -32 16 -3 }}
| 11.982
| 11.982
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Mistisma]]
| Sazoquadgu
| sz4g3
| 458752 / 455625
| {{Monzo| 16 -6 -4 1 }}
| 11.841
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Bronzisma]]
| Satriru-agugu
| s3ragg1
| 2097152 / 2083725
| {{Monzo| 21 -5 -2 -3 }}
| 11.120
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 34-jubilismic comma
| 34-jubilismic comma
| Sequadzogu
| Sequadzogu
| z<sup>68</sup>g<sup>68</sup>42
| 68zg42
|  
|  
| {{Monzo| -33 0 -68 68 }}
| {{Monzo| -33 0 -68 68 }}
| 10.829
| 10.829
|
|-
|-
| Hunt 7-cycle comma
| [[26-7-comma]], Hunt 7-cycle comma
|
| Quadsa-thebiru
|
| 4s26r-10
|  
| <abbr title="9444732965739290427392 / 9387480337647754305649">(44 digits)</abbr>
| {{Monzo| 73 0 0 -26 }}
| {{Monzo| 73 0 0 -26 }}
| 10.526
| 10.526
|
|-
| [[Septiness comma]]
| Sasasepru
| ss7r-3
| 67108864 / 66706983
| {{Monzo| 26 -4 0 -7 }}
| 10.399
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 31-35-comma
| [[31-comma temperaments|31-35-comma]]
|
| Tritrila-thiwezoyo
|
| 9L31zy4
|  
|  
| {{Monzo| -159 0 31 31 }}
| {{Monzo| -159 0 31 31 }}
| 9.3282
| 9.3282
|
|-
|-
| quince
| [[Quince comma]]
| Lasepzo-agugu
| Lasepzo-agugu
| Lz<sup>7</sup>gg4
| L7zagg4
| 823543 / 819200
| 823543 / 819200
| {{Monzo| -15 0 -2 7 }}
| {{Monzo| -15 0 -2 7 }}
| 9.1539
| 9.1539
|
|-
|-
| gamelisma
| [[Uniwiz comma]]
| Quadzoyo
| 4zy2
| 1500625 / 1492992
| {{Monzo| -11 -6 4 4 }}
| 8.8285
|
|-
| [[Historisma]]
| Latribizogu
| L6zg4
| 257298363 / 256000000
| {{Monzo| -14 7 -6 6 }}
| 8.7582
| [[ArrowHead294]] (2024)
|-
| [[1029/1024|Gamelisma]]
| Latrizo
| Latrizo
| Lz<sup>3</sup>2
| L3z2
| 1029/1024
| 1029 / 1024
| {{Monzo| -10 1 0 3 }}
| {{Monzo| -10 1 0 3 }}
| 8.4327
| 8.4327
|
|-
|-
| varunisma
| [[Varunisma]]
| Labizogugu
| Labizogugu
| Lzzg<sup>4</sup>2
| L2zgg2
| 321489 / 320000
| 321489 / 320000
| {{Monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
| 8.037
| 8.0370
|
|-
|-
| septimal kleisma, marvel comma
| [[225/224|Marvel comma]], septimal kleisma
| Ruyoyo
| Ruyoyo
| ryy-2
| ryy-2
| [[225/224]]
| 225 / 224
| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| 7.7115
| 7.7115
| [[Gene Ward Smith]] (2003)
|-
|-
| dimcomp
| [[Dimcomp comma]]
| Quadruyoyo
| Quadruyoyo
| r<sup>4</sup>y<sup>8</sup>-4
| 4ryy-4
| 390625 / 388962
| 390625 / 388962
| {{Monzo| -1 -4 8 -4 }}
| {{Monzo| -1 -4 8 -4 }}
| 7.3861
| 7.3861
|
|-
|-
| cataharry
| [[Cataharry comma]]
| Labirugu
| Labirugu
| Lrrgg-2
| L2rg-2
| 19683 / 19600
| 19683 / 19600
| {{Monzo| -4 9 -2 -2 }}
| {{Monzo| -4 9 -2 -2 }}
| 7.3158
| 7.3158
| [[Gene Ward Smith]] (2005)
|-
| [[Procyon comma]]
| Sasepzo-atrigu
| s7za3g5
| 823543 / 820125
| {{Monzo| 0 -8 -3 7 }}
| 7.2002
|
|-
|-
| mirkwai
| [[Qiqi comma]]
| Sepruyoyo
| 7ryy-6
| 48828125000 / 48629390607
| {{Monzo| 3 -10 14 -7 }}
| 7.0606
| [[User:Angekallikoita|Ange]] (2025)
|-
| [[Mirkwai comma]]
| Quinru-aquadyo
| Quinru-aquadyo
| r<sup>5</sup>y<sup>4</sup>-4
| 5ra4y-4
| 16875 / 16807
| 16875 / 16807
| {{Monzo| 0 3 4 -5 }}
| {{Monzo| 0 3 4 -5 }}
| 6.9903
| 6.9903
| [[Gene Ward Smith]] (2005)
|-
|-
| [[canousma]]
| [[Canousma]]
|
| Saquadzo-atriyo
|
| s4za3y3
| 4802000 / 4782969
| 4802000 / 4782969
| {{Monzo|4 -14 3 4}}
| {{Monzo| 4 -14 3 4 }}
| 6.8748
| 6.8748
| [[Flora Canou]] (2020)
|-
|-
| stearnsma
| [[Triwellisma]]
| Tribizo-asepgu
| 6za7g5
| 235298 / 234375
| {{Monzo| 1 -1 -7 6 }}
| 6.8044
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Stearnsma]]
| Latribiru
| Latribiru
| Lr<sup>6</sup>-4
| L6r-4
| 118098 / 117649
| 118098 / 117649
| {{Monzo| 1 10 0 -6 }}
| {{Monzo| 1 10 0 -6 }}
| 6.5946
| 6.5946
|
|-
|-
| hemimage
| [[10976/10935|Hemimage comma]]
| Satrizo-agu
| Satrizo-agu
| sz<sup>3</sup>g3
| s3zag3
| 10976 / 10935
| 10976 / 10935
| {{Monzo| 5 -7 -1 3 }}
| {{Monzo| 5 -7 -1 3 }}
| 6.479
| 6.4790
| [[Gene Ward Smith]] (2005)
|-
|-
| hemimean
| [[3136/3125|Hemimean comma]]
| Zozoquingu
| Zozoquingu
| zzg<sup>5</sup>3
| zz5g3
| 3136/3125
| 3136 / 3125
| {{Monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
| 6.0832
| 6.0832
| [[Gene Ward Smith]] (2005)
|-
|-
| hemifamity, 7/5-kleisma
| [[5120/5103|Hemifamity comma]], 5/7-kleisma
| Saruyo
| Saruyo
| sry1
| sry1
| [[5120/5103]]
| 5120 / 5103
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
| 5.7578
| 5.7578
| [[Gene Ward Smith]] (2005)
|-
| [[Parkleiness comma]]
| Zotritrigu
| z9g3
| 1959552 / 1953125
| {{Monzo| 7 7 -9 1 }}
| 5.6875
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[linus comma]]
| [[Octaphore comma]], enneagari comma
| Sasa-quadbizo
| ss8z6
| 94450499584 / 94143178827
| {{Monzo| 14 -23 0 8 }}
| 5.6422
| [[User:Unque|Unque]] (2024)
|-
| [[Linus comma]]
| Saquinbizogu
| Saquinbizogu
| sz<sup>10</sup>g<sup>10</sup>8
| s10zg8
| 578509309952 / 576650390625
| 578509309952 / 576650390625
| {{Monzo| 11 -10 -10 10 }}
| {{Monzo| 11 -10 -10 10 }}
| 5.5719
| 5.5719
| [[Gene Ward Smith]] (2011)
|-
| [[Reiwa comma]]
| Saquadru-asepyo
| s4ra7y-3
| 1280000000 / 1275989841
| {{monzo| 14 -12 7 -4 }}
| 5.4324
| [[Flora Canou]] (2022)
|-
|-
| porwell
| [[6144/6125|Porwell comma]]
| Sarurutrigu
| Sarurutrigu
| srrg<sup>3</sup>1
| srr3g1
| 6144/6125
| 6144 / 6125
| {{Monzo| 11 1 -3 -2 }}
| {{Monzo| 11 1 -3 -2 }}
| 5.362
| 5.3620
| [[Gene Ward Smith]], [[Petr Pařízek]] (2010)
|-
| [[Cartoonisma]]
| Satritrizo-asepbigu
| s9za14g8
| 165288374272 / 164794921875
| {{Monzo| 12 -3 -14 9 }}
| 5.1762
| [[Eliora]] (2023)
|-
| [[Hemfiness comma]]
| Saquadru-atriyo
| s4ra3y-3
| 4096000 / 4084101
| {{Monzo| 15 -5 3 -5 }}
| 5.0366
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Acrodec comma]]
| Sasa-tribizo-aquadbigu
| ss6za8g6
| 7710244864 / 7688671875
| {{Monzo| 16 -9 -8 6 }}
| 4.8507
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[Hewuermera comma]]
| Satribiru-agu
| s6rag-3
| 589824 / 588245
| {{Monzo| 16 2 -1 -6 }}
| 4.6408
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Hearts comma]]
| Trila-quadzo
| 3L4z1
| 34451725707 / 34359738368
| {{Monzo| -35 15 0 4 }}
| 4.6286
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Lokisma]], loki comma
| Sasa-bizotrigu
| ss2z3g4
| 102760448 / 102515625
| {{Monzo| 21 -8 -6 2 }}
| 4.1295
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[garischisma]], septimal schisma
| [[Garischisma]], septimal schisma
| Sasaru
| Sasaru
| ssr2
| ssr2
Line 673: Line 1,127:
| {{Monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
| 3.8041
| 3.8041
|
|-
|-
| wadisma
| [[Wadisma]]
| Latritrizo-ayo
| Latritrizo-ayo
| Lz<sup>9</sup>y4
| L9zay4
| 201768035 / 201326592
| 201768035 / 201326592
| {{Monzo| -26 -1 1 9 }}
| {{Monzo| -26 -1 1 9 }}
| 3.7919
| 3.7919
|
|-
| [[Septimal enneadeca]]
| Quinla-neru
| 5L19r-13
| <abbr title="1570042899082081611640534563 / 1566652225014704215735402496">(56 digits)</abbr>
| {{Monzo| -37 57 0 -19 }}
| 3.7428
| [[Godtone]] (2024)
|-
|-
| quasiorwellisma
| [[Quasiorwellisma]]
| Sazoquinbigu
| Sazoquinbigu
| szg<sup>10</sup>4
| sz10g4
| 29360128 / 29296875
| 29360128 / 29296875
| {{Monzo| 22 -1 -10 1 }}
| {{Monzo| 22 -1 -10 1 }}
| 3.7338
| 3.7338
|
|}
|}


=== 11-limit commas ===
=== 11-limit commas ===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" | [[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color notation/Temperament names|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
! Named by
|-
|-
| thuja comma
| [[Dew comma]]
| Salo
| s1o2
| 180224 / 177147
| {{Monzo| 14 -11 0 0 1 }}
| 29.812
| [[User:CompactStar|CompactStar]] (2023)
|-
| [[Thuja comma]]
| Saquinlu-ayo
| Saquinlu-ayo
| s1u<sup>5</sup>y2
| s5(1u)y2
| 163840 / 161051
| 163840 / 161051
| {{Monzo| 15 0 1 0 -5 }}
| {{Monzo| 15 0 1 0 -5 }}
| 29.724
| 29.724
|
|-
|-
| sensmus
| [[625/616|Quadrikite comma]]
| Luruquadyo
| 1ur4y-2
| 625 / 616
| {{Monzo| -3 0 4 -1 -1 }}
| 25.111
| [[Praveen Venkataramana]], [[Lumi Pakkanen]] (2022)
|-
| [[1350/1331|Large tetracot diesis]]
| Trilu-ayoyo
| 3(1u)yy1
| 1350 / 1331
| {{Monzo| 1 3 2 0 -3 }}
| 24.539
| [[User:ArrowHead294|ArrowHead294]] (2024)
|-
| [[Sensmus comma]]
| Salozogu
| Salozogu
| s1ozg2
| s1ozg2
| 1232/1215
| 1232 / 1215
| {{Monzo| 4 -5 -1 1 1 }}
| {{Monzo| 4 -5 -1 1 1 }}
| 24.055
| 24.055
|
|-
|-
| sevnothrush
| [[Sevnothrush comma]]
| Loquingu
| Loquingu
| 1og<sup>5</sup>2
| 1o5g2
| 3168/3125
| 3168 / 3125
| {{Monzo| 5 2 -5 0 1 }}
| {{Monzo| 5 2 -5 0 1 }}
| 23.659
| 23.659
|
|-
|-
| cassacot
| [[245/242|Frostma]]
| Biluzo-ayo
| Biluzo-ayo
| 1uuzzy2
| 2(1uz)y2
| 245/242
| 245 / 242
| {{Monzo| -1 0 1 2 -2 }}
| {{Monzo| -1 0 1 2 -2 }}
| 21.330
| 21.330
| [[Praveen Venkataramana]] (2022)
|-
| [[Distarma]]
| Trilozo
| 3(1o)z1
| 9317 / 9216
| {{Monzo|-10 -2 0 1 3}}
| 18.869
| [https://twitter.com/Lilly__Flores Lilly Flores] (2023)
|-
| [[1617/1600|Antimisma]]
| Lobizogu
| 1o2zg2
| 1617 / 1600
| {{Monzo| -6 1 -2 2 1 }}
| 18.297
| [[User:Jerdle|Jerdle]] (2021)
|-
|-
| [[mothwellsmic triad|mothwellsma]]
| [[99/98|Mothwellsma]]
| Loruru
| Loruru
| 1orr-2
| 1orr-2
| 99/98
| 99 / 98
| {{Monzo| -1 2 0 -2 1 }}
| {{Monzo| -1 2 0 -2 1 }}
| 17.576
| 17.576
|
|-
|-
| [[ptolemismic triad|ptolemisma]]
| [[1610510/1594323|Fifthchromisma]]
| Saquinlo-ayo
| s5(1o)y1
| 1610510 / 1594323
| {{Monzo| 1 -13 1 0 5 }}
| 17.488
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[100/99|Ptolemisma]]
| Luyoyo
| Luyoyo
| 1uyy1
| 1uyy1
| [[100/99]]
| 100 / 99
| {{Monzo| 2 -2 2 0 -1 }}
| {{Monzo| 2 -2 2 0 -1 }}
| 17.399
| 17.399
|
|-
|-
| hemimin
| [[Hemimin comma]]
| Trilu-azo
| Trilu-azo
| 1u<sup>3</sup>z2
| 3(1u)z2
| 1344/1331
| 1344 / 1331
| {{Monzo| 6 1 0 1 -3 }}
| {{Monzo| 6 1 0 1 -3 }}
| 16.827
| 16.827
|
|-
| [[Betarabian comma]]
| Lalolo
| L1oo-2
| 264627 / 262144
| {{Monzo| -18 7 0 0 2 }}
| 16.321
| [[Dawson Berry]] (2020)
|-
|-
| [[biyatismic chords|biyatisma]]
| [[Biyatisma]]
| Lologu
| Lologu
| 1oog1
| 1oog1
| [[121/120]]
| 121 / 120
| {{Monzo| -3 -1 -1 0 2 }}
| {{Monzo| -3 -1 -1 0 2 }}
| 14.367
| 14.367
| [[Gene Ward Smith]] (2010)
|-
| [[Absinthma]]
| Luluruyo
| 1uury1
| 2560 / 2541
| {{Monzo| 9 -1 1 -1 -2 }}
| 12.897
| [[User:Jerdle|Jerdle]] (2023)
|-
| [[2835/2816|35/11 kleisma]]
| Laluzoyo
| L1uzy1
| 2835 / 2816
| {{Monzo| -8 4 1 1 -1 }}
| 11.642
|
|-
|-
| aphrowe
| [[Aphrowe comma]]
| Trilo-aruru
| Trilo-aruru
| 1o<sup>3</sup>rr-2
| 3(1o)rr-2
| 1331/1323
| 1331 / 1323
| {{Monzo| 0 -3 0 -2 3 }}
| {{Monzo| 0 -3 0 -2 3 }}
| 10.437
| 10.437
| [[Lériendil]] (2024)
|-
| [[2200/2187|Small tetracot diesis]]
| Saloyoyo
| s1oyy1
| 2200 / 2187
| {{Monzo| 3 -7 2 0 1 }}
| 10.260
| [[User:ArrowHead294|ArrowHead294]]
|-
|-
| [[valinorsmic chords|valinorsma]]
| [[Valinorsma]]
| Lorugugu
| Lorugugu
| 1orgg1
| 1orgg1
| 176/175
| 176 / 175
| {{Monzo| 4 0 -2 -1 1 }}
| {{Monzo| 4 0 -2 -1 1 }}
| 9.8646
| 9.8646
|
|-
|-
| [[pentacircle comma|pentacircle]]
| [[Pentacircle comma]]
| Saluzo
| Saluzo
| s1uz2
| s1uz2
| 896/891
| 896 / 891
| {{Monzo| 7 -4 0 1 -1 }}
| {{Monzo| 7 -4 0 1 -1 }}
| 9.688
| 9.6880
|
|-
| [[Alpharabian comma]]
| Laquadlo
| L4(1o)-2
| 131769 / 131072
| {{Monzo| -17 2 0 0 4 }}
| 9.1818
| [[Dawson Berry]] (2020)
|-
|-
| orgonisma
| [[Orgonisma]]
| Satrilu-aruru
| Satrilu-aruru
| s1u<sup>3</sup>rr1
| s3(1u)rr1
| 65536 / 65219
| 65536 / 65219
| {{Monzo| 16 0 0 -2 -3 }}
| {{Monzo| 16 0 0 -2 -3 }}
| 8.3944
| 8.3944
|
|-
|-
| quindecic comma
| [[Quindecic comma]]
| Sasa-quintriloru
| Sasa-quintriloru
| ss1o<sup>15</sup>r<sup>15</sup>-8
| ss15(1or)-8
|  
|  
| {{Monzo| 14 -15 0 -15 15 }}
| {{Monzo| 14 -15 0 -15 15 }}
| 8.0555
| 8.0555
|
|-
|-
| [[semicanousma]]
| [[117649/117128]]
|
| Bilulutrizo-a
|
| 2(1uu3z)4
| 117649 / 117128
| {{Monzo| -3 0 0 6 -4 }}
| 7.6837
|
|-
| [[Topsy comma]]
| Quadlo-atrizo-asepgu
| 4(1o)3za7g3
| 5021863 / 5000000
| {{Monzo| -6 0 -7 3 4 }}
| 7.5535
|
|-
| [[4375/4356|Fantares comma]]
| Luluzoquadyo
| 1uuz4y1
| 4375 / 4356
| {{Monzo| -2 -2 4 1 -2 }}
| 7.5349
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Semicanousma]]
| Quadlo-agu
| 4(1o)g1
| 14641 / 14580
| 14641 / 14580
| {{Monzo| -2 -6 -1 0 4}}
| {{Monzo| -2 -6 -1 0 4 }}
| 7.2281
| 7.2281
| [[Flora Canou]] (2020)
|-
|-
| [[rastmic chords|rastma]]
| [[243/242|Rastma]]
| Lulu
| Lulu
| 1uu1
| 1uu1
| 243/242
| 243 / 242
| {{Monzo| -1 5 0 0 -2 }}
| {{Monzo| -1 5 0 0 -2 }}
| 7.1391
| 7.1391
|
|-
|-
| myhemiwell
| [[3388/3375|Myhemiwell comma]]
| Lolozotrigu
| Lolozotrigu
| 1oozg<sup>3</sup>2
| 1ooz3g2
| 3388/3375
| 3388 / 3375
| {{Monzo| 2 -3 -3 1 2 }}
| {{Monzo| 2 -3 -3 1 2 }}
| 6.6556
| 6.6556
|
|-
| [[Pythrabian comma]]
| Trisalo
| 3s1o
| 94489280512 / 94143178827
| {{Monzo| 33 -23 0 0 1 }}
| 6.3529
| [[Dawson Berry]] (2021)
|-
|-
| octatonic comma
| [[Semiporwellisma]]
| Salulugu
| s1uug2
| 16384 / 16335
| {{Monzo| 14 -3 -1 0 -2 }}
| 5.1854
| [[Flora Canou]] (2021)
|-
| [[Octatonic comma]], undecimal octatonic comma
| Quadbilu
| Quadbilu
| 1u<sup>8</sup>2
| 8(1u)2
| 214990848 / 214358881
| 214990848 / 214358881
| {{Monzo| 15 8 0 0 -8 }}
| {{Monzo| 15 8 0 0 -8 }}
| 5.0965
| 5.0965
| [[Eliora]] (2023)
|-
|-
| [[keenanismic chords|keenanisma]]
| [[385/384|Keenanisma]]
| Lozoyo
| Lozoyo
| 1ozy1
| 1ozy1
| [[385/384]]
| 385 / 384
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
| 4.5026
| 4.5026
| [[Paul Erlich]] (2001)
|-
| [[Trimitone comma]]
| Lalotrigu
| L1o3g1
| 8019 / 8000
| {{Monzo| -6 6 -3 0 1 }}
| 4.1068
| [[User:Godtone|Godtone]] (2021)
|-
| [[4-cent comma]]
| Lutritryo
| 1u9y-2
| 1953125 / 1948617
| {{Monzo| 0 -11 9 0 -1 }}
| 4.0004
| [[User:Jerdle|Jerdle]] (2021)
|-
|-
| [[werckismic chords|werckisma]]
| [[441/440|Werckisma]]
| Luzozogu
| Luzozogu
| 1uzzg2
| 1uzzg2
| 441/440
| 441 / 440
| {{Monzo| -3 2 -1 2 -1 }}
| {{Monzo| -3 2 -1 2 -1 }}
| 3.9302
| 3.9302
|
|-
|-
| moctdel
| [[1375/1372|Moctdel comma]]
| Lotriruyo
| Lotriruyo
| 1or<sup>3</sup>y<sup>3</sup>-3
| 1o3ry-3
| 1375/1372
| 1375 / 1372
| {{Monzo| -2 0 3 -3 1 }}
| {{Monzo| -2 0 3 -3 1 }}
| 3.7814
| 3.7814
|
|-
| [[Unisquarisma]], unisquary comma
| Trilu-aquadzo-ayo
| 3(1u)4zay3
| 12005 / 11979
| {{Monzo| 0 -2 1 4 -3 }}
| 3.7535
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[6250/6237|Liganellus comma]], liganellisma
| Luruquinyo
| 1ur5y-2
| 6250 / 6237
| {{Monzo| 1 -4 5 -1 -1 }}
| 3.6047
| [[Dawson Berry]] (2020)
|}
|}


=== 13-limit commas ===
=== 13-limit commas ===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 847: Line 1,491:
! Monzo
! Monzo
! Cents
! Cents
! Named by
|-
| [[Lovecraft comma]]
| Thothotrilu
| 3oo3(1u)2
| 1352/1331
| {{monzo|3 0 0 0 -3 2}}
| 27.101
|
|-
|-
| wilsorma
| [[65/64|Wilsorma]]
| Thoyo
| Thoyo
| 3oy1
| 3oy1
Line 854: Line 1,507:
| {{Monzo| -6 0 1 0 0 1 }}
| {{Monzo| -6 0 1 0 0 1 }}
| 26.841
| 26.841
|
|-
| [[Hyperpyth comma]]
| Quadtho-aquingu
| 4(3o)5g3
| 28561/28125
| {{Monzo| 0 -2 -5 0 0 4 }}
| 26.632
|
|-
|-
| winmeanma
| [[66/65|Winmeanma]]
| Thulogu
| Thulogu
| 3u1og1
| 3u1og1
Line 861: Line 1,523:
| {{Monzo| 1 1 -1 0 1 -1 }}
| {{Monzo| 1 1 -1 0 1 -1 }}
| 26.432
| 26.432
|
|-
|-
| negustma
| [[343/338|Sooty fox comma]]
| Thuthutrizo
| 3uu3z2
| 343/338
| {{Monzo| -1 0 0 3 0 -2 }}
| 25.422
| [[Budjarn Lambeth]] (2024)
|-
| [[Tetris comma]]
| Satho
| s3o2
| 6656/6561
| {{Monzo| 9 -8 0 0 0 1 }}
| 24.888
| [[Godtone]] (2024)
|-
| [[507/500|Large semisixthma]]
| Thothotrigu
| 3oo3g2
| 507/500
| {{Monzo| -2 1 -3 0 0 2 }}
| 24.069
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[78/77|Negustma]]
| Tholuru
| Tholuru
| 3o1ur1
| 3o1ur1
Line 868: Line 1,555:
| {{Monzo| 1 1 0 -1 -1 1 }}
| {{Monzo| 1 1 0 -1 -1 1 }}
| 22.339
| 22.339
|
|-
|-
| superleap
| [[Greater tendoneutralisma]]
| Laquadbitho
| L8(3o)2
| 815730721 / 805306368
| {{Monzo| -28 -1 0 0 0 8 }}
| 22.266
| [[Godtone]] (2024)
|-
| [[91/90|Biome comma, superleap comma]]
| Thozogu
| Thozogu
| 3ozg2
| 3ozg2
Line 875: Line 1,571:
| {{Monzo| -1 -2 -1 1 0 1 }}
| {{Monzo| -1 -2 -1 1 0 1 }}
| 19.130
| 19.130
|
|-
|-
| animist
| [[8281/8192|Diahuntmisma]]
| Labithozo
| L2(3oz)2
| 8281/8192
| {{Monzo| -13 0 0 2 0 2 }}
| 18.707
| [[User:Xenllium|Xenllium]] (2022)
|-
| [[512/507|Tridecimal neutral thirds comma]]
| Thuthu
| 3uu1
| 512/507
| {{Monzo| 9 -1 0 0 0 -2 }}
| 16.990
|
|-
| [[105/104|Animist comma]]
| Thuzoyo
| Thuzoyo
| 3uzy1
| 3uzy1
Line 882: Line 1,595:
| {{Monzo| -3 1 1 1 0 -1 }}
| {{Monzo| -3 1 1 1 0 -1 }}
| 16.567
| 16.567
|
|-
| [[28812/28561|Tesseract comma]]
| Quadthuzo
| 4(3uz)2
| 28812/28561
| {{Monzo| 2 1 0 4 0 -4 }}
| 15.148
| [[User:Unque|Unque]] (2025)
|-
|-
| secorian
| [[832/825]]
| Tholugugu
| 3o1ugg2
| 832/825
| {{Monzo| 6 -1 -2 0 -1 1 }}
| 14.627
|
|-
| [[Secorian comma]]
| Sathuzo
| Sathuzo
| s3uz2
| s3uz2
Line 889: Line 1,619:
| {{Monzo| 12 -7 0 1 0 -1 }}
| {{Monzo| 12 -7 0 1 0 -1 }}
| 14.613
| 14.613
|
|-
|-
| mosaic
| [[3159/3136|Mosaic comma]]
| Lathoruru
| Lathoruru
| L3orr-2
| L3orr-2
Line 896: Line 1,627:
| {{Monzo| -6 5 0 -2 0 1}}
| {{Monzo| -6 5 0 -2 0 1}}
| 12.651
| 12.651
|
|-
|-
| gassorma
| [[275/273|Gassorma]]
| Thuloruyoyo
| Thuloruyoyo
| 3u1oryy-2
| 3u1oryy-2
Line 903: Line 1,635:
| {{Monzo| 0 -1 2 -1 1 -1 }}
| {{Monzo| 0 -1 2 -1 1 -1 }}
| 12.637
| 12.637
|
|-
|-
| [[grossma]]
| [[144/143|Grossma]]
| Thulu
| Thulu
| 3u1u1
| 3u1u1
Line 910: Line 1,643:
| {{Monzo| 4 2 0 0 -1 -1 }}
| {{Monzo| 4 2 0 0 -1 -1 }}
| 12.064
| 12.064
|
|-
| [[24167/24000]]
| Tritho-alotrigu
| 3(3o)1o3g2
| 24167/24000
| {{Monzo| -6 -1 -3 0 1 3}}
| 12.005
|
|-
| [[Lesser tendoneutralisma]]
| Sasa-quadtrithu
| ss12(3u)-2
| 70368744177664 / 69894255367443
| {{Monzo| 46 -1 0 0 0 -12 }}
| 11.713
| [[Godtone]] (2024)
|-
|-
| buzurgisma, dhanvantarisma
| [[Dinos comma]]
| Lathuthuquingu
| L3uu5g1
| 531441/528125
| {{Monzo| 0 12 -5 0 0 -2 }}
| 10.836
| [[Dummy Index]] (2024)
|-
| [[169/168|Buzurgisma, dhanvantarisma]]
| Thothoru
| Thothoru
| 3oor1
| 3oor1
Line 917: Line 1,675:
| {{Monzo| -3 -1 0 -1 0 2 }}
| {{Monzo| -3 -1 0 -1 0 2 }}
| 10.274
| 10.274
| [[Margo Schulter]] (2012) for ''buzurgisma''
|-
| [[3042/3025|Diagassormisma]]
| Bitholugu
| 2(3o1ug)2
| 3042/3025
| {{Monzo| 1 2 -2 0 -2 2 }}
| 9.7020
| [[User:Xenllium|Xenllium]] (2022)
|-
| Greater nelindic comma
| Thothoquinru-ayoyo
| 3oo5rayy-3
| 16900/16807
| {{Monzo| 2 0 2 -5 0 2 }}
| 9.5532
| [[User:Kaiveran|Kaiveran]] (2019)
|-
|-
| catadictma
| [[1287/1280|Catadictma]]
| Thologu
| Thologu
| 3o1og1
| 3o1og1
Line 924: Line 1,699:
| {{Monzo| -8 2 -1 0 1 1 }}
| {{Monzo| -8 2 -1 0 1 1 }}
| 9.4419
| 9.4419
|
|-
|-
| [[mynucumic chords|mynucuma]]
| [[Glacier comma]]
| Quinthu
| 5(3u)-2
| 373248/371293
| {{Monzo| 9 6 0 0 0 -5 }}
| 9.0917
| [[ArrowHead294]] (2024)
|-
| [[196/195|Mynucuma]]
| Thuzozogu
| Thuzozogu
| 3uzzg2
| 3uzzg2
Line 931: Line 1,715:
| {{Monzo| 2 -1 -1 2 0 -1 }}
| {{Monzo| 2 -1 -1 2 0 -1 }}
| 8.8554
| 8.8554
|
|-
|-
| [[huntmic chords|huntma]], nelindic comma
| [[1625/1617|Sopreisma]]
| Tholururutriyo
| 3urr3y-2
| 1625/1617
| {{Monzo| 0 -1 3 -2 -1 1 }}
| 8.54405
| [[User:Recentlymaterialized|Recentlymaterialized]] (2024)
|-
| [[640/637|Huntma]], lesser nelindic comma
| Thururuyo
| Thururuyo
| 3urry-2
| 3urry-2
Line 938: Line 1,731:
| {{Monzo| 7 0 1 -2 0 -1 }}
| {{Monzo| 7 0 1 -2 0 -1 }}
| 8.1342
| 8.1342
| [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma''
|-
|-
| [[threedie]]
| [[2197/2187|Threedie]]
| Satritho
| Satritho
| s3o<sup>3</sup>2
| s3(3o)2
| 2197/2187
| 2197/2187
| {{Monzo| 0 -7 0 0 0 3 }}
| {{Monzo| 0 -7 0 0 0 3 }}
| 7.8980
| 7.8980
|
|-
| [[Tridecimal nakaisma]]
| Quinsa-quadtritrithu-azo
| 5s36(3u)z-4
|
| {{Monzo| 132 -1 0 1 0 -36 }}
| 7.8751
| [[User:原井玉葱郎|Misohito Nakai]] (2025)
|-
| [[4394/4375|Hebrewsma]]
| Tritho-aruquadgu
| 3(3o)r4g2
| 4394/4375
| {{Monzo| 1 0 -4 -1 0 3 }}
| 7.5022
| [[Eliora]] (2022)
|-
|-
| [[kestrel chords|kestrel comma]]
| [[1188/1183|Kestrel comma]]
| Thuthuloru
| Thuthuloru
| 3uu1or-2
| 3uu1or-2
Line 952: Line 1,763:
| {{Monzo| 2 3 0 -1 1 -2 }}
| {{Monzo| 2 3 0 -1 1 -2 }}
| 7.3017
| 7.3017
| [[Gene Ward Smith]] (2011)
|-
| [[30E comma|2D9 comma]]
| Thotriyo
| 3o3y7
| 131625/131072
| {{Monzo|-17 4 3 0 0 1}}
| 7.2888
| [https://twitter.com/Regret_March/status/1709762093749252209 Figreflekt] (2023) but [https://twitter.com/Figreflekt/status/1710195052520337680 revised later]{{dead link}}
|-
| [[Brontesisma]]
| Trithu-azozoyo
| 3(3u)zzy1
| 2205/2197
| {{Monzo| 0 2 1 2 0 -3 }}
| 6.2925
| [[Francium]] (2025)
|-
| [[Praveensma]]
| Thoquadzo
| 3o4z3
| 31213/31104
| {{Monzo| -7 -5 0 4 0 1 }}
| 6.0563
| [[Praveen Venkataramana]] (2022)
|-
| [[1573/1568|Lambeth comma]]
| Thobiloru
| 3o2(1or)-2
| 1573/1568
| {{Monzo| -5 0 0 -2 2 1 }}
| 5.5117
| [[Flora Canou]] (2022)
|-
|-
| [[marveltwin]]
| [[325/324|Marveltwin comma]]
| Thoyoyo
| Thoyoyo
| 3oyy1
| 3oyy1
| [[325/324]]
| 325/324
| {{Monzo| -2 -4 2 0 0 1 }}
| {{Monzo| -2 -4 2 0 0 1 }}
| 5.3351
| 5.3351
|
|-
|-
| Hunt 13-cycle comma
| [[Valerisma]], Hunt 13-cycle comma
| Laquinbitho
| Laquinbitho
| L3o<sup>10</sup>2
| L10(3o)2
| 137858491849 / 137438953472
| 137858491849 / 137438953472
| {{Monzo| -37 0 0 0 0 10 }}
| {{Monzo| -37 0 0 0 0 10 }}
| 5.2766
| 5.2766
| [[Mason Green]] (2016)
|-
|-
| [[ratwolf triad|ratwolfsma]]
| [[351/350|Ratwolfsma]]
| Thorugugu
| Thorugugu
| 3orgg1
| 3orgg1
| [[351/350]]
| 351/350
| {{Monzo| -1 3 -2 -1 0 1 }}
| {{Monzo| -1 3 -2 -1 0 1 }}
| 4.9393
| 4.9393
|
|-
|-
| [[minthmic chords|minthma]], 13/11-kleisma
| [[352/351|Major minthma, major gentle comma]], 11/13-kleisma
| Thulo
| Thulo
| 3u1o1
| 3u1o1
| [[352/351]]
| 352/351
| {{Monzo| 5 -3 0 0 1 -1 }}
| {{Monzo| 5 -3 0 0 1 -1 }}
| 4.9253
| 4.9253
| See the page.
|-
|-
| [[gentle chords|gentle comma]]
| [[364/363|Minor minthma, minor gentle comma]]
| Tholuluzo
| Tholuluzo
| 3o1uuz2
| 3o1uuz2
| [[364/363]]
| 364/363
| {{Monzo| 2 -1 0 1 -2 1 }}
| {{Monzo| 2 -1 0 1 -2 1 }}
| 4.7627
| 4.7627
| See the page.
|-
|-
| [[cuthbert triad|cuthbert]]
| [[847/845|Cuthbert comma]]
| Bithulo-azogu
| Bithulo-azogu
| 3uu1oozg1
| 2(3u1o)zg1
| 847/845
| 847/845
| {{Monzo| 0 0 -1 1 2 -2 }}
| {{Monzo| 0 0 -1 1 2 -2 }}
| 4.0928
| 4.0928
|
|}
|}


Line 1,000: Line 1,850:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" | [[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color notation/Temperament names|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
! Named by
|-
| [[2048/2023]]
| Susuru
| 17uur-2
| 2048/2023
| {{Monzo| 11 0 0 -1 0 0 -2 }}
| 21.263
|
|-
|-
| soruyo unison
| [[85/84|Monk comma]]
| Soruyo
| Soruyo
| 17ory1
| 17ory1
Line 1,011: Line 1,870:
| {{Monzo| -2 -1 1 -1 0 0 1 }}
| {{Monzo| -2 -1 1 -1 0 0 1 }}
| 20.488
| 20.488
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| lum comma
| [[289/286|Lum comma]]
| Sosothulu
| Sosothulu
| 17oo3u1u2
| 17oo3u1u2
Line 1,018: Line 1,878:
| {{Monzo| -1 0 0 0 -1 -1 2 }}
| {{Monzo| -1 0 0 0 -1 -1 2 }}
| 18.065
| 18.065
|
|-
|-
| mey comma
| [[2197/2176|Mey comma]]
| Sutritho
| Sutritho
| 17u3u<sup>3</sup>1
| 17u3(3o)1
| 2197/2176
| 2197/2176
| {{Monzo| -7 0 0 0 0 3 -1 }}
| {{Monzo| -7 0 0 0 0 3 -1 }}
| 16.628
| 16.628
|
|-
| [[429/425|Middle semisixthma]]
| Suthologugu
| 17u3o1ogg1
| 429/425
| {{Monzo| 0 1 -2 0 1 1 -1 }}
| 16.218
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| septendecimal comma, Hunt flat 2 comma
| [[4131/4096|Septendecimal comma]], Hunt flat 2 comma
| Laso
| Laso
| L17o1
| L17o1
| [[4131/4096]]
| 4131/4096
| {{Monzo| -12 5 0 0 0 0 1 }}
| {{Monzo| -12 5 0 0 0 0 1 }}
| 14.730
| 14.730
| [[Flora Canou]] (2020) for ''septendecimal comma''
|-
|-
| suruyo comma
| [[120/119|Lynchisma]]
| Suruyo
| Suruyo
| 17ury-2
| 17ury-2
Line 1,039: Line 1,910:
| {{Monzo| 3 1 1 -1 0 0 -1 }}
| {{Monzo| 3 1 1 -1 0 0 -1 }}
| 14.487
| 14.487
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| 23 semitone comma
| 23-17-comma, 23 semitone comma
|
| Trila-twetheso
|
| 3L23(17o)10
|  
|  
| {{Monzo| -94 0 0 0 0 0 23 }}
| {{Monzo| -94 0 0 0 0 0 23 }}
| 13.974
| 13.974
|
|-
| [[136/135|Diatisma]], diatic comma, <br>fiventeen comma, septendecimal semicomma
| Sogu
| 17og2
| 136/135
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| 12.777
| See the page.
|-
| [[154/153|Augustma]]
| Sulozo
| 17u1oz1
| 154/153
| {{Monzo| 1 -2 0 1 1 0 -1 }}
| 11.278
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| sothuthuyo unison
| [[170/169|Major naiadma]]
| Sothuthuyo
| Sothuthuyo
| 17o3uuy1
| 17o3uuy1
Line 1,053: Line 1,942:
| {{Monzo| 1 0 1 0 0 -2 1 }}
| {{Monzo| 1 0 1 0 0 -2 1 }}
| 10.214
| 10.214
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| septendecimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref>, septendecimal kleisma (?)
| [[2187/2176|Septendecimal schisma]]
|
| Lasu
|
| L17u-2
| [[2187/2176]]
| 2187/2176
| {{Monzo| -7 7 0 0 0 0 -1 }}
| {{Monzo| -7 7 0 0 0 0 -1 }}
| 8.7296
| 8.7296
| [[Plainsound Music Edition]] (2020)
|-
| [[1452/1445|Small semisixthma]]
| Susulologu
| 17uu1oog-2
| 1452/1445
| {{Monzo| 2 1 -1 0 2 0 -2 }}
| 8.3664
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| Blume comma
| [[Mean thirds comma]]
| Lasosoyo
| L17ooy1
| 1053405/1048576
| {{Monzo|-20 6 1 0 0 0 2}}
| 7.9545
| [[User:Jerdle|Jerdle]] (2022)
|-
| [[221/220|Minor naiadma]]
| Sotholugu
| 17o3o1ug2
| 221/220
| {{Monzo| -2 0 -1 0 -1 1 1 }}
| 7.8514
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[2057/2048|Blume comma]]
| Sololo
| Sololo
| 17o1oo1
| 17o1oo1
| 2057/2048
| 2057/2048
| {{Monzo| -11 0 0 0 2 0 1 }}
| {{monzo| -11 0 0 0 2 0 1 }}
| 7.5913
| 7.5913
| [[Douglas Blumeyer]]
|-
|-
| septendecimal kleisma (?)
| [[256/255|Charisma]], charic comma, <br>septendecimal kleisma
| Sugu
| Sugu
| 17ug1
| 17ug1
Line 1,074: Line 1,990:
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| 6.7759
| 6.7759
| See the page.
|-
|-
| tannisma
| [[273/272|Tannisma, prototannisma]]
| Suthozo
| Suthozo
| 17u3oz1
| 17u3oz1
Line 1,081: Line 1,998:
| {{Monzo| -4 1 0 1 0 1 -1}}
| {{Monzo| -4 1 0 1 0 1 -1}}
| 6.3532
| 6.3532
| [[Scott Dakota]] (2017) for ''tannisma'' <br>[[Flora Canou]] (2023) for ''prototannisma''
|-
|-
| septendecimal integer cents comma
| [[289/288|Semitonisma]], septendecimal semitones comma, septendecimal 6-cent comma
| Soso
| Soso
| 17oo2
| 17oo2
Line 1,088: Line 2,006:
| {{Monzo| -5 -2 0 0 0 0 2 }}
| {{Monzo| -5 -2 0 0 0 0 2 }}
| 6.0008
| 6.0008
| [[Flora Canou]] (2023) ''for semitonisma''
|-
|-
| 17-ripple <strike>integer cents</strike> comma
| [[375/374|Ursulisma]]
|
| Sulutriyo
|
| 17u1u3y-2
| 375/374
| {{Monzo| -1 1 3 0 -1 0 -1 }}
| 4.6228
| [[Dawson Berry]], [[User:VIxen|VIxen]] (2023)
|-
| [[442/441|Seminaiadma]]
| Sothoruru
| 17o3orr1
| 442/441
| {{Monzo| 1 -2 0 -2 0 1 1 }}
| 3.9213
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[80-17-comma]], 17-ripple <strike>integer cents</strike> comma{{clarify}}
| Lesa-quinquadquadsu
| 11s80(17u)-32
|  
|  
| {{Monzo| 327 0 0 0 0 0 -80 }}
| {{Monzo| 327 0 0 0 0 0 -80 }}
| 3.5672
| 3.5672
| [[Eliora]] (2022) for ''80-17-comma''
|}
|}


Line 1,101: Line 2,037:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" | [[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color name|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
! Named by
|-
|-
| nuruyo comma
| 135/133
| Nuruyo
| Nuruyo
| 19ury-2
| 19ury-2
Line 1,112: Line 2,049:
| {{Monzo| 0 3 1 -1 0 0 0 -1 }}
| {{Monzo| 0 3 1 -1 0 0 0 -1 }}
| 25.84
| 25.84
|
|-
|-
| nogugu 2nd
| [[76/75|Large undevicesimal 1/9-tone]]
| Nogugu
| Nogugu
| 19ogg2
| 19ogg2
Line 1,119: Line 2,057:
| {{Monzo| 2 -1 -2 0 0 0 0 1 }}
| {{Monzo| 2 -1 -2 0 0 0 0 1 }}
| 22.931
| 22.931
|[[User:Xenllium|Xenllium]] (2023)
|-
|-
| nulozo unison (approximation to the adjacent step of 53edo)
| [[77/76|Small undevicesimal 1/9-tone]]
| Nulozo
| Nulozo
| 19u1oz1
| 19u1oz1
Line 1,126: Line 2,065:
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| 22.631
| 22.631
|[[User:Xenllium|Xenllium]] (2023)
|-
|-
| 19th-partial chroma
| [[96/95|19th-partial chroma]]
| Nugu
| Nugu
| 19ug1
| 19ug1
Line 1,133: Line 2,073:
| {{Monzo| 5 1 -1 0 0 0 0 -1 }}
| {{Monzo| 5 1 -1 0 0 0 0 -1 }}
| 18.128
| 18.128
| [[User:Flirora|Flirora]] (2021)
|-
|-
|ume comma
| [[Ume comma]]
|Nutriso
| Nutriso
|19u17o<sup>3</sup>2
| 19u3(17o)2
|4913/4864
| 4913/4864
|<nowiki>| -8 0 0 0 0 0 3 -1 ></nowiki>
| {{Monzo| -8 0 0 0 0 0 3 -1 }}
|17.353
| 17.353
|
|-
|-
| noluzo 2nd
| [[729/722|Undevicesimal diaschisma]]
| Lanunu
| L19uu-2
| 729/722
| {{Monzo| -1 6 0 0 0 0 0 -2 }}
| 16.704
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[6912/6859|Deviaug comma]]
| Trinu
| 3(19u)-2
| 6912/6859
| {{Monzo| 8 3 0 0 0 0 0 -3 }}
| 13.326
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[133/132|Minithirdma]]
| Noluzo
| Noluzo
| 19o1uz2
| 19o1uz2
Line 1,147: Line 2,105:
| {{Monzo| -2 -1 0 1 -1 0 0 1 }}
| {{Monzo| -2 -1 0 1 -1 0 0 1 }}
| 13.066
| 13.066
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| Ganassi's comma
| [[153/152|Ganassisma]], Ganassi's comma
| Nuso
| Nuso
| 19u17o1
| 19u17o1
Line 1,154: Line 2,113:
| {{Monzo| -3 2 0 0 0 0 1 -1 }}
| {{Monzo| -3 2 0 0 0 0 1 -1 }}
| 11.352
| 11.352
| [[User:Flirora|+merlan #flirora]] (2021)
|-
|-
| nosugu unison
| [[171/170|Malcolmisma]]
| Nosugu
| Nosugu
| 19o17ug1
| 19o17ug1
Line 1,161: Line 2,121:
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| 10.154
| 10.154
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
|eye comma
| [[131072/130321|Undevicesimal Diminished Comma]], Hunt 19-cycle comma
|Nusosolulu
|19u17oo1uu2
|2312/2299
|<nowiki>| 3 0 0 0 -2 0 2 -1 ></nowiki>
|9.7619
|-
| Hunt 19-cycle comma
| Saquadnu
| Saquadnu
| s19u<sup>4</sup>-2
| s4(19u)-2
| 131072 / 130321
| 131072 / 130321
| {{Monzo| 17 0 0 0 0 0 0 -4 }}
| {{Monzo| 17 0 0 0 0 0 0 -4 }}
| 9.9479
| 9.9479
|
|-
| [[Eye comma]]
| Nubisolu
| 19u2(17o1u)2
| 2312/2299
| {{Monzo| 3 0 0 0 -2 0 2 -1 }}
| 9.7619
|
|-
|-
| binulo comma
| [[363/361|Godzillisma]]
| Binulo
| Binulo
| 19uu1oo-2
| 2(19u1o)-2
| 363/361
| 363/361
| {{Monzo| 0 1 0 0 2 0 0 -2 }}
| {{Monzo| 0 1 0 0 2 0 0 -2 }}
| 9.5649
| 9.5649
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[190/189|Cotylisma]]
| Noruyo
| 19ory1
| 190/189
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
| 9.1358
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| yama comma
| [[209/208|Yama comma]]
| Nothulo
| Nothulo
| 19o3u1o1
| 19o3u1o1
Line 1,189: Line 2,161:
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
| 8.3033
| 8.3033
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| spleen comma
| [[210/209|Spleen comma]]
| Nuluzoyo
| Nuluzoyo
| 19u1uzy1
| 19u1uzy1
Line 1,196: Line 2,169:
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| 8.2637
| 8.2637
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| nuthologu comma
| [[1083/1078|Bihendrixma]]
| Nonolururu
| 19oo1urr1
| 1083/1078
| {{Monzo| -1 1 0 -2 -1 0 0 2 }}
| 8.0113
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[286/285|Chthonisma]]
| Nuthologu
| Nuthologu
| 19u3o1og1
| 19u3o1og1
Line 1,203: Line 2,185:
| {{Monzo| 1 -1 -1 0 1 1 0 -1 }}
| {{Monzo| 1 -1 -1 0 1 1 0 -1 }}
| 6.0639
| 6.0639
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| nusu comma
| [[324/323|Photisma]]
| Nusu
| Nusu
| 19u17u-2
| 19u17u-2
Line 1,210: Line 2,193:
| {{Monzo| 2 4 0 0 0 0 -1 -1 }}
| {{Monzo| 2 4 0 0 0 0 -1 -1 }}
| 5.3516
| 5.3516
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[343/342|Nutrisma]]
| Nutrizo
| 19u3z2
| 343/342
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| 5.0547
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Triraptor comma]]
| Trinuso-azogu
| 3(19u17o)zg2
| 34391/34295
| {{Monzo|0 0 -1 1 0 0 3 -3}}
| 4.8394
| [[User:Kaiveran|Kaiveran]] (2023)
|-
|-
| go comma
| [[361/360|Go comma]], dudon comma
| Nonogu
| Nonogu
| 19oog2
| 19oog2
Line 1,217: Line 2,217:
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| 4.8023
| 4.8023
| [[User:Xenwolf|Xenwolf]] (2013) for ''go comma''
|-
| [[400/399|Devichroma]]
| Nuruyoyo
| 19uryy-2
| 400/399
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
| 4.3335
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[456/455|Abnobisma]]
| Nothurugu
| 19o3urg1
| 456/455
| {{Monzo| 3 1 -1 -1 0 -1 0 1 }}
| 3.8007
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[476/475|Hedwigma]]
| Nusozogugu
| 19u17ozgg2
| 476/475
| {{Monzo| 2 0 -2 1 0 0 1 -1 }}
| 3.6409
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[495/494|Eulalisma]]
| Nuthuloyo
| 19u3u1oy-2
| 495/494
| {{Monzo| -1 2 1 0 1 -1 0 -1 }}
| 3.5010
| [[User:Xenllium|Xenllium]] (2023)
|}
=== 23-limit commas ===
{| class="wikitable"
|-
! Name(s)
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Monzo]]
! [[Cent]]s
! Named by
|-
| [[187/184]]
| Twethusolo
| 23u17o1o1
| 187/184
| 2.11.17.23 {{monzo| -3 1 1 -1 }}
| 27.999
|
|-
| [[69/68|Large vicesimotertial 1/8-tone]]
| Twethosu
| 23o17u1
| 69/68
| 2.3.17.23 {{monzo| -2 1 -1 1 }}
| 25.274
|[[User:Xenllium|Xenllium]] (2023)
|-
| [[70/69|Small vicesimotertial 1/8-tone]]
| Twethuzoyo
| 23uzy1
| 70/69
| 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }}
| 24.910
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[92/91|Undinisma]]
| Twethothuru
| 23o3ur1
| 92/91
| 2.7.13.23 {{monzo| 2 -1 -1 1 }}
| 18.921
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[736/729|23-limit Tenney/Cage comma]]
| Satwetho
| s23o2
| 736/729
| 2.3.23 {{monzo| 5 -6 1 }}
| 16.544
| [[Stephen Weigel]] (2023)
|-
| [[115/114|Yarmanisma]]
| Twethonuyo
| 23o19uy1
| 115/114
| 2.3.5.19.23 {{monzo| -1 -1 1 -1 1 }}
| 15.120
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[161/160|Major kirnbergerisma]]
| Twethozogu
| 23ozg2
| 161/160
| 2.5.7.23 {{monzo| -5 -1 1 1 }}
| 10.787
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[162/161|Minor kirnbergerisma]]
| Twethuru
| 23ur-2
| 162/161
| 2.3.7.23 {{monzo| 1 4 -1 -1 }}
| 10.720
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[208/207|Vicetone comma]]
| Twethutho
| 23u3o1
| 208/207
| 2.3.13.23 {{monzo| 4 -2 1 -1 }}
| 8.3433
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[231/230|Major neutravicema]]
| Twethulozogu
| 23u1ozg1
| 231/230
| {{monzo| -1 1 -1 1 1 0 0 0 -1 }}
| 7.5108
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[253/252|Middle neutravicema]]
| Twetholoru
| 23o1or1
| 253/252
| 2.3.7.11.23 {{monzo| -2 -2 -1 1 1 }}
| 6.8564
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[276/275|Minor neutravicema]]
| Twetholugugu
| 23o1ugg2
| 276/275
| 2.3.5.11.23 {{monzo| 2 1 -2 -1 1 }}
| 6.2840
| [[User:Xenllium|Xenllium]] (2023)
|-
| 21-23-comma
| Trisa-septritwethu
| 3s21(23u)-8
| 281474976710656 / <br>280462473659039
| 2.23 {{monzo| 95 -21 }}
| 6.2387
|
|-
| [[300/299|Major naiadvicema]]
| Twethuthuyoyo
| 23u3uyy-2
| 300/299
| 2.3.5.13.23 {{monzo| 2 1 2 -1 -1 }}
| 5.7804
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[323/322|Major semivicema]]
| Twethunosoru
| 23u19o17or1
| 323/322
| 2.7.17.19.23 {{monzo| -1 -1 1 1 -1 }}
| 5.3682
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[391/390|Minor naiadvicema]]
| Twethosothugu
| 23o17o3ug2
| 391/390
| {{monzo| -1 -1 -1 0 0 -1 1 0 1 }}
| 4.4334
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[392/391|Minor semivicema]]
| Twethusuzozo
| 23u17uzz1
| 392/391
| 2.7.17.23 {{monzo| 3 2 -1 -1 }}
| 4.4221
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[460/459|Scanisma, vicewolf comma]]
| Twethosuyo
| 23o17uy1
| 460/459
| 2.3.5.17.23 {{monzo| 2 -3 1 -1 1 }}
| 3.7676
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[484/483|Pittsburghisma]]
| Twethuloloru
| 23u1oor-2
| 484/483
| 2.3.7.11.23 {{monzo| 2 -1 -1 2 -1 }}
| 3.5806
| [[User:Xenllium|Xenllium]] (2023)
|}
=== 29-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| Classical mediant of Didymus' and Archytas' commas
| Twenothuluyo
| 29o3u1uy1
| 145/143
| 5.11.13.29 {{monzo| 1 -1 -1 1 }}
| 24.045
|
|-
| [[88/87|Farewell comma]]
| Twenulo
| 29u1o1
| 88/87
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| 19.786
|
|-
| [[116/115|Sironisma]]
| Twenotwethugu
| 29o23ug1
| 116/115
| 2.5.23.29 {{monzo| 2 -1 -1 1 }}
| 14.989
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[117/116|Lomisma]]
| Twenutho
| 29u3o1
| 117/116
| 2.3.13.29 {{monzo| -2 2 1 -1 }}
| 14.860
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[145/144|29th-partial chroma]]
| Twenoyo
| 29oy1
| 145/144
| 2.3.5.29 {{monzo| -4 -2 1 1 }}
| 11.981
| [[User:Flirora|Flirora]] (2023)
|-
| [[175/174|Major chthonovinema]]
| Twenuzoyoyo
| 29uzyy1
| 175/174
| 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }}
| 9.9211
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[204/203|Kallistisma]]
| Twenusoru
| 29u17or1
| 204/203
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }}
| 8.5073
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[232/231|Major paravinema]]
| Twenoluru
| 29o1ur1
| 232/231
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }}
| 7.4783
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[Jackpot comma]]
| Laseptweno
| L7(29o)1
| 17249876309 / 17179869184
| 2.29 {{monzo| -34 7 }}
| 7.0404
| [[Eliora]] (2024)
|-
| [[261/260|Major vinetonema]]
| Twenothugu
| 29o3ug1
| 261/260
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }}
| 6.6458
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[290/289|Brunisma]]
| Twenosusuyo
| 29o17uuy-2
| 290/289
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
| 5.9801
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[320/319|Minor paravinema]]
| Twenuluyo
| 29u1uy1
| 320/319
| 2.5.11.29 {{monzo| 6 1 -1 -1 }}
| 5.4186
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[378/377|Major semivinema]]
| Twenuthuzo
| 29u3uz1
| 378/377
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }}
| 4.5861
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[406/405|Minor semivinema]]
| Twenozogu
| 29ozg2
| 406/405
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }}
| 4.2694
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[494/493|Minor vinetonema]]
| Twenunosutho
| 29u19o17u3o1
| 494/493
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }}
| 3.5081
| [[User:Xenllium|Xenllium]] (2024)
|}
=== 31-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[63/62|31-limit co-archyta]]
| Thiwuzo
| 31uz2
| 63/62
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| 27.700
| [[Xenwolf]] (2020)
|-
| [[93/92|Tricema]]
| Thiwotwethu
| 31o23u-2
| 93/92
| 2.3.23.31 {{monzo| -2 1 -1 1 }}
| 18.716
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[125/124|Twizzler]]
| Thiwutriyo
| 31u3y1
| 125/124
| 2.5.31 {{monzo| -2 3 -1 }}
| 13.906
| [[Xenwolf]] (2020)
|-
| [[155/154|Scyllisma]]
| Thiwoluruyo
| 31o1ury-2
| 155/154
| 2.5.7.11.31 {{monzo| -1 1 -1 -1 1 }}
| 11.205
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[156/155|Xanthippisma]]
| Thiwuthogu
| 31u3og2
| 156/155
| 2.3.5.13.31 {{monzo| 2 1 -1 1 -1 }}
| 11.133
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[187/186|Lambertisma]]
| Thiwusolo
| 31u17o1o2
| 187/186
| 2.3.11.17.31 {{monzo| -1 -1 1 1 -1 }}
| 9.2828
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[217/216|Tricesimoprimal kleisma]]
| Thiwozo
| 31oz1
| 217/216
| 2.3.7.31 {{monzo| -3 -3 1 1 }}
| 7.9965
|
|-
| [[248/247|Lameisma]]
| Thiwonuthu
| 31o19u3u-2
| 248/247
| 2.13.19.31 {{monzo| 3 -1 -1 1 }}
| 6.9949
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[280/279|Tricetone comma]]
| Thiwuzoyo
| 31uzy2
| 280/279
| 2.3.5.7.31 {{monzo| 3 -2 1 1 -1 }}
| 6.1940
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[Junebug comma]]
| Thiwutweno twethunuso tholuzoyo
| 31u29o23u19u 17o3o1uzy2
| 448630/447051
| {{monzo| 1 -1 1 1 -1 1 1 -1 -1 1 -1 }}
| 6.1040
| [[Tristan Bay]] (2024)
|-
| [[341/340|Californisma]]
| Thiwosulogu
| 31o17u1og-2
| 341/340
| 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }}
| 5.0844
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[342/341|Endymisma]]
| Thiwunolu
| 31u19o1u2
| 342/341
| 2.3.11.19.31 {{monzo| 1 2 -1 1 -1 }}
| 5.0695
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[435/434|Chinthisma]]
| Thiwutwenoruyo
| 31u29ory1
| 435/434
| 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }}
| 3.9844
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[465/464|Alektisma]]
| Thiwotwenuyo
| 31o29uy-2
| 465/464
| 2.3.5.29.31 {{monzo| -4 1 1 -1 1 }}
| 3.7271
| [[User:Xenllium|Xenllium]] (2025)
|}
|}


[[Category:Theory]]
=== Higher-limit commas ===
[[Category:Comma| ]] <!-- main article -->
{| class="wikitable"
[[Category:Interval]]
! Name(s)
<references />
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[714984/704969|Lightyear comma]]
|
| 89u<sup>3</sup>31o<sup>3</sup>-2
| 714984/704969
| 2.3.31.89 {{monzo| 3 1 3 -3 }}
| 24.421
| [[Budjarn Lambeth]] (2023)
|-
| [[82/81|41-limit Johnston comma]]
| Fowo
| 41o1
| 82/81
| 2.3.41 {{monzo| 1 -4 1 }}
| 21.242
| [[Stephen Weigel]] (2023)
|-
| [[2883/2848|Lilac comma]]
|
| 89u31oo-2
| 2883/2848
| 2.3.31.89 {{monzo| -5 1 2 -1 }}
| 21.146
| [[Budjarn Lambeth]] (2023)
|-
| [[86/85|43-limit 10th-tone]], large quadracesimotertial 1/10-tone
| Fothosugu
| 43o17ug1
| 86/85
| 2.5.17.43 {{monzo| 1 -1 -1 1 }}
| 20.249
| [[Mister Shaf]] (2025)
|-
| [[87/86|43-limit 10th-tone]], small quadracesimotertial 1/10-tone
| Fothutweno
| 43u29o1
| 87/86
| 2.3.29.43 {{monzo| -1 1 1 -1 }}
| 20.014
|
|-
| [[89/88|Tailwind comma]]
|
| 89o1u1
| 89/88
| 2.11.89 {{monzo| -3 -1 1 }}
| 19.562
| [[Budjarn Lambeth]] (2023)
|-
| [[389/385|Rebbe comma]]
|
| 389o1urg1
| 389/385
| 5.7.11.389 {{monzo| -1 -1 -1 1 }}
| 17.8794
| [[Mister Shaf]] (2025)
|-
| [[8277/8192|Lilly pilly comma]]
|
| 89o31o-2
| 8277/8192
| 2.3.31.89 {{monzo| -13 1 1 1 }}
| 17.871
| [[Budjarn Lambeth]] (2023)
|-
| [[8000/7921|Incisor comma]]
|
| 89uu3y1
| 8000/7921
| 2.5.89 {{monzo| 6 3 -2 }}
| 17.181
| [[Budjarn Lambeth]] (2023)
|-
| [[129/128|43-limit Johnston comma]]
| Fotho
| 43o1
| 129/128
| 2.3.43 {{monzo| -7 1 1 }}
| 13.473
| [[Stephen Weigel]] (2023)
|-
| [[979/972|Basement comma]]
|
| 89o1o1
| 979/972
| 2.3.11.89 {{monzo| -2 -5 1 1 }}
| 12.423
| [[Budjarn Lambeth]] (2023)
|-
| [[226/225|Reversed marvel comma]]
|
| 113ogg2
| 226/225
| 2.3.5.113 {{monzo| 1 -2 -2 1 }}
| 7.6773
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[Sidereal comma]]
|
| 73u61og1
| 366/365
| 2.3.5.61.73 {{monzo| 1 1 -1 1 -1 }}
| 4.7366
| [[User:Frostburn|Frostburn]] (2024)
|-
| [[381/380|Five feet comma]]
|
| 127o19ug1
| 381/380
| 2.3.5.19.127 [-2 1 -1 -1 1⟩
| 4.5499
| [[Eliora]] (2022)
|-
| [[481/480|Semaphorisma]]
| Thisothogu
| 37o3og2
| 481/480
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 3.6030
| [[User:Kaiveran|Kaiveran]] (2023)
|}
 
== 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
|-
| [[Caffeinterval]]
|
|
| 2<sup>((7/12) - (1/sqrt(3)))</sup>
|
| 7.1797
| [[User:R-4981|R-4981]] (2023)
|}
 
== See also ==
* [[Comma and diesis]]
 
[[Category:Small commas| ]] <!-- main article -->
[[Category:Lists of commas]]
{{todo|complete table|add color name}}
Retrieved from "https://en.xen.wiki/w/Small_comma"