Small comma: Difference between revisions

7-limit commas: 1500625/1492992 is simply the 7-limit comma of uniwiz
 
(198 intermediate revisions by 19 users not shown)
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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.
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.


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 [[Xenharmonic Wiki: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 }}
{{See also| Table of 3-limit commas }}
Line 12: Line 13:
{| 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
|-
|-
| 241-comma
| 241-comma
Line 21: Line 23:
| w-241
| w-241
|
|
| {{monzo| 382 -241 }}
| {{Monzo| 382 -241 }}
| 28.845
| 28.845
|
|-
|-
| 65-comma, <br>Pythagorean septimal comma
| 65-comma, <br>Pythagorean septimal comma
Line 28: Line 31:
| w-65
| w-65
|
|
| {{monzo| -103 65 }}
| {{Monzo| -103 65 }}
| 27.075
| 27.075
|
|-
|-
| [[Pythagorean comma]]
| [[Pythagorean comma]]
Line 35: Line 39:
| LLw-2
| LLw-2
| 531441 / 524288
| 531441 / 524288
| {{monzo| -19 12 }}
| {{Monzo| -19 12 }}
| 23.460
| 23.460
|
|-
|-
| [[41-comma]], Pythagorean countercomma, <br>countercomp comma
| [[41-comma]], Pythagorean countercomma, <br>countercomp comma
| Wa-41
| 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, [[Stearnsmic clan #Garistearn|garistearn comma]]
| [[94-comma]], garistearn comma
| Wa-94
| Wa-94
| w-94
| w-94
|
|
| {{monzo| 149 -94 }}
| {{Monzo| 149 -94 }}
| 16.230
| 16.230
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 147-comma
| 147-comma
Line 56: Line 63:
| w-147
| w-147
|
|
| {{monzo| 233 -147 }}
| {{Monzo| 233 -147 }}
| 12.615
| 12.615
|
|-
|-
| 200-comma, <br>Pythagorean integer-cent ET comma
| 200-comma, <br>Pythagorean integer-cent ET comma
Line 63: Line 71:
| w-200
| w-200
|
|
| {{monzo| 317 -200 }}
| {{Monzo| 317 -200 }}
| 8.9998
| 8.9998
|
|-
|-
| 253-comma
| 253-comma
Line 70: Line 79:
| w-253
| w-253
|
|
| {{monzo| 401 -253 }}
| {{Monzo| 401 -253 }}
| 5.3848
| 5.3848
|
|-
|-
| [[Mercator's comma]], 53-comma
| [[Mercator's comma]], 53-comma
| Wa-53
| 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
|
|}
|}


=== [[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 family|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 / Didymus / meantone comma
| [[Syntonic comma]], Didymus comma, meantone comma
| Gu
| Gu
| g1
| g1
| [[81/80]]
| 81 / 80
| {{monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| 21.506
| 21.506
|
|-
|-
| [[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
| [[Sfourth comma]]
| Lala-negu
| Lala-negu
| LLg<sup>19</sup>3
| LL19g3
| 617673396283947 / 610351562500000
| 617673396283947 / 610351562500000
| {{monzo| -5 31 -19 }}
| {{Monzo| -5 31 -19 }}
| 20.644
| 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 family|quindromeda]]
| [[Quindromeda comma]]
| Quinsa-quingu
| Quinsa-quingu
| s<sup>5</sup>g<sup>5</sup>5
| 5s5g5
|
| <abbr title="72057594037927936 / 71489976421753125">(34 digits)</abbr>
| {{monzo| 56 -28 -5 }}
| {{Monzo| 56 -28 -5 }}
| 13.691
| 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
|
|-
|-
| [[commatic comma]]
| [[Bicommatic comma]]
| Quadla-quinbigu
| Quadla-quinbigu
| L<sup>4</sup>g<sup>10</sup>-2
| 4L10g-2
| <abbr title="1350851717672992089 / 1342177280000000000">(38 digits)</abbr>
| {{Monzo| -37 38 -10 }}
| 11.153
|  
|  
| {{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)
|-
|-
| [[countriton comma]]
| [[Countritonic comma]]
| Quadsa-tritriyo
| Quadsa-tritriyo
| s<sup>4</sup>y<sup>9</sup>2
| 4s9y2
| 16777216000000000 / 16677181699666569
| <abbr title="16777216000000000 / 16677181699666569">(34 digits)</abbr>
| {{monzo| 33 -34 9 }}
| {{Monzo| 33 -34 9 }}
| 10.353
| 10.353
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[semicomma]], Fokker comma
| [[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
|
|-
|-
| [[escapade comma]]
| [[Heptacot comma]]
| Sepsa-sepgu
| 7s7g7
|
| {{Monzo| 86 -44 -7 }}
| 9.7840
| [[Tristan Bay]] (2024)
|-
| [[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 }}
| 7.4909
|  
|  
| {{monzo| 137 0 -59 }}
| 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-twenegu
| 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-fothegu
| 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]]
| [[3645/3584|Schismean comma]]
| Laruyo
| Laruyo
| Lry-2
| Lry-2
| 3645 / 3584
| 3645 / 3584
| {{monzo| -9 6 1 -1 }}
| {{Monzo| -9 6 1 -1 }}
| 29.218
| 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
|
|-
|-
| [[686/675|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-twethezo
| 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
|
|-
|-
| [[64/63|septimal comma]], 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 clan|slither]]
| [[Slither comma]]
| Satritriru-aquadyo
| Satritriru-aquadyo
| sr<sup>9</sup>y<sup>4</sup>-5
| s9ra4y-5
| 40960000 / 40353607
| 40960000 / 40353607
| {{monzo| 16 0 4 -9 }}
| {{Monzo| 16 0 4 -9 }}
| 25.822
| 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
| Letrizogu
| z<sup>33</sup>g<sup>33</sup>21
| 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
| Quintrisa-tritritribirugu
| s<sup>15</sup>r<sup>54</sup>g<sup>54</sup>-6
| 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
|
|-
|-
| [[875/864|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 clan|betelgeuse]]
| [[Betelgeuse comma]]
| Satritrizo-agugu
| Satritrizo-agugu
| sz<sup>9</sup>gg6
| s9zagg6
| 40353607/39858075
| 40353607 / 39858075
| {{monzo| 0 -13 -2 9 }}
| {{Monzo| 0 -13 -2 9 }}
| 21.391
| 21.391
|
|-
|-
| [[3125/3087|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)
|-
|-
| [[Secanticorn temperaments|secanticornisma]]
| [[Secanticornisma]]
| Laruquingu
| Laruquingu
| Lrg<sup>5</sup>1
| Lr5g1
| 177147/175000
| 177147 / 175000
| {{monzo| -3 11 -5 -1 }}
| {{Monzo| -3 11 -5 -1 }}
| 21.111
| 21.111
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[2430/2401|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)
|-
|-
| [[Mermismic temperaments|mermisma]]
| [[Mermisma]]
| Sepruyo
| Sepruyo
| r<sup>7</sup>y<sup>7</sup>-5
| 7ry-5
| 2500000 / 2470629
| 2500000 / 2470629
| {{monzo| 5 -1 7 -7 }}
| {{Monzo| 5 -1 7 -7 }}
| 20.460
| 20.460
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Negricorn temperaments|negricorn]], 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)
|-
|-
| [[Tolermic temperaments|tolerma]]
| [[Tolerant comma]]
| Sazoyoyo
| Sazoyoyo
| szyy2
| szyy2
| 179200 / 177147
| 179200 / 177147
| {{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 }}
| 19.260
| 19.260
|
|-
|-
| [[Valenwuer temperaments|valenwuer]]
| [[Valenwuer comma]]
| Sarutribigu
| Sarutribigu
| srg<sup>6</sup>1
| sr6g1
| 110592/109375
| 110592 / 109375
| {{monzo| 12 3 -6 -1 }}
| {{Monzo| 12 3 -6 -1 }}
| 19.157
| 19.157
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Buzzardismic clan|buzzardisma]]
| [[Buzzardsma]], buzzard comma
| Saquadru
| Saquadru
| sr<sup>4</sup>-2
| s4r-2
| 65536 / 64827
| 65536 / 64827
| {{monzo| 16 -3 0 -4 }}
| {{Monzo| 16 -3 0 -4 }}
| 18.831
| 18.831
| See the page.
|-
|-
| Huntian 21-cycle comma
| Huntian 21-cycle comma
| Quadbisa-sepquadru
| Quadbisa-sepquadru
| s<sup>8</sup>r<sup>28</sup>-8
| 8s28r-8
|  
|  
| {{monzo| 123 -28 0 -28 }}
| {{Monzo| 123 -28 0 -28 }}
| 18.135
| 18.135
|
|-
|-
| [[Mirwomo temperaments|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
|
|-
|-
| [[Catasyc temperaments|catasyc]]
| [[Catasyc comma]]
| Laruquadbiyo
| Laruquadbiyo
| Lry<sup>8</sup>-3
| Lr8y-3
| 390625 / 387072
| 390625 / 387072
| {{monzo| -11 -3 8 -1 }}
| {{Monzo| -11 -3 8 -1 }}
| 15.819
| 15.819
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Compass temperaments|compass comma]]
| [[Compass comma]]
| Quinruyoyo
| Quinruyoyo
| r<sup>5</sup>y<sup>10</sup>-5
| 5ryy-5
| 9765625 / 9680832
| 9765625 / 9680832
| {{monzo| -6 -2 10 -5 }}
| {{monzo| -6 -2 10 -5 }}
| 15.098
| 15.098
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Trimyna temperaments|trimyna]]
| [[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
|
|-
|-
| [[245/243|sensamagic]]
| [[245/243|Sensamagic comma]]
| Zozoyo
| Zozoyo
| zzy2
| zzy2
Line 603: Line 791:
| {{monzo| 0 -5 1 2 }}
| {{monzo| 0 -5 1 2 }}
| 14.191
| 14.191
| [[Gene Ward Smith]] (2010)
|-
|-
| [[126/125|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
| Quinla-sequadzo
| L<sup>5</sup>z<sup>68</sup>28
| 5L68z28
|  
|  
| {{monzo| -137 -34 0 68 }}
| {{Monzo| -137 -34 0 68 }}
| 13.692
| 13.692
|
|-
|-
| [[Octagar temperaments|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)
|-
|-
| [[Orwellismic temperaments|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
|
|-
|-
| [[Mynaslendic temperaments|mynaslender comma]]
| [[Mynaslender comma]]
| Sepru-ayo
| Sepru-ayo
| r<sup>7</sup>y-4
| 7ray-4
| 829440 / 823543
| 829440 / 823543
| {{monzo| 11 4 1 -7 }}
| {{Monzo| 11 4 1 -7 }}
| 12.352
| 12.352
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 35-7/5-comma
| 35-7/5-comma
| Sepquinruyo
| Sepquinruyo
| r<sup>35</sup>y<sup>35</sup>-22
| 35ry-22
|  
|  
| {{monzo| 17 0 35 -35 }}
| {{monzo| 17 0 35 -35 }}
| 12.073
| 12.073
|
|-
|-
| [[chromatisma]]
| [[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)
|-
|-
| [[Mistismic temperaments|mistisma]]
| [[Mistisma]]
| Sazoquadgu
| Sazoquadgu
| szg<sup>4</sup>3
| sz4g3
| 458752 / 455625
| 458752 / 455625
| {{monzo| 16 -6 -4 1 }}
| {{Monzo| 16 -6 -4 1 }}
| 11.841
| 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
|
|-
|-
| [[26th-octave temperaments|Hunt 7-cycle comma]]
| [[26-7-comma]], Hunt 7-cycle comma
| Quadsa-thebiru
| Quadsa-thebiru
| s<sup>4</sup>r<sup>26</sup>-10
| 4s26r-10
| <abbr title="9444732965739290427392 / 9387480337647754305649">(44 digits)</abbr>
| {{Monzo| 73 0 0 -26 }}
| 10.526
|  
|  
| {{monzo| 73 0 0 -26 }}
| 10.526
|-
|-
| [[Septiness clan|septiness comma]]
| [[Septiness comma]]
| Sasasepru
| Sasasepru
| ssr<sup>7</sup>-3
| ss7r-3
| 67108864 / 66706983
| 67108864 / 66706983
| {{monzo| 26 -4 0 -7 }}
| {{Monzo| 26 -4 0 -7 }}
| 10.399
| 10.399
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[31-comma temperaments|31-35-comma]]
| [[31-comma temperaments|31-35-comma]]
| Tritrila-thiwezoyo
| Tritrila-thiwezoyo
| L<sup>9</sup>z<sup>31</sup>y<sup>31</sup>4
| 9L31zy4
|  
|  
| {{monzo| -159 0 31 31 }}
| {{Monzo| -159 0 31 31 }}
| 9.3282
| 9.3282
|
|-
|-
| [[Quince clan|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
|
|-
| [[Uniwiz comma]]
| Quadzoyo
| 4zy2
| 1500625 / 1492992
| {{Monzo| -11 -6 4 4 }}
| 8.8285
|
|-
|-
| [[1029/1024|gamelisma]]
| [[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
|
|-
|-
| [[Varunismic temperaments|varunisma]]
| [[Varunisma]]
| Labizogugu
| Labizogugu
| Lzzg<sup>4</sup>2
| L2zgg2
| 321489 / 320000
| 321489 / 320000
| {{monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
| 8.0370
| 8.0370
|
|-
|-
| [[225/224|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 comma|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 temperaments|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 clan|procyon comma]]
| [[Procyon comma]]
| Sasepzo-atrigu
| Sasepzo-atrigu
| sz<sup>7</sup>g<sup>3</sup>5
| s7za3g5
| 823543 / 820125
| 823543 / 820125
| {{monzo| 0 -8 -3 7 }}
| {{Monzo| 0 -8 -3 7 }}
| 7.2002
| 7.2002
|
|-
|-
| [[Mirkwai clan|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
| Saquadzo-atriyo
| sz<sup>4</sup>y<sup>3</sup>3
| s4za3y3
| 4802000 / 4782969
| 4802000 / 4782969
| {{monzo|4 -14 3 4}}
| {{Monzo| 4 -14 3 4 }}
| 6.8748
| 6.8748
| [[Flora Canou]] (2020)
|-
|-
| [[Triwellismic temperaments|triwellisma]]
| [[Triwellisma]]
| Tribizo-asepgu
| Tribizo-asepgu
| z<sup>6</sup>g<sup>7</sup>5
| 6za7g5
| 235298 / 234375
| 235298 / 234375
| {{monzo|1 -1 -7 6}}
| {{Monzo| 1 -1 -7 6 }}
| 6.8044
| 6.8044
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Stearnsmic clan|stearnsma]]
| [[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 comma|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 }}
| 6.4790
| 6.4790
| [[Gene Ward Smith]] (2005)
|-
|-
| [[3136/3125|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)
|-
|-
| [[5120/5103|hemifamity]], 5/7-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 temperaments|parkleiness]]
| [[Parkleiness comma]]
| Zotritrigu
| Zotritrigu
| zg<sup>9</sup>3
| z9g3
| 1959552 / 1953125
| 1959552 / 1953125
| {{monzo| 7 7 -9 1 }}
| {{Monzo| 7 7 -9 1 }}
| 5.6875
| 5.6875
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[15/14ths equal temperament|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]]
| [[Reiwa comma]]
| Saquadru-asepyo
| Saquadru-asepyo
| sr<sup>4</sup>y<sup>7</sup>-3
| s4ra7y-3
| 1280000000 / 1275989841
| 1280000000 / 1275989841
| {{monzo| 14 -12 7 -4 }}
| {{monzo| 14 -12 7 -4 }}
| 5.4324
| 5.4324
| [[Flora Canou]] (2022)
|-
|-
| [[6144/6125|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 }}
| 5.3620
| 5.3620
| [[Gene Ward Smith]], [[Petr Pařízek]] (2010)
|-
|-
| [[Hemfiness temperaments|hemfiness comma]]
| [[Cartoonisma]]
| Satritrizo-asepbigu
| s9za14g8
| 165288374272 / 164794921875
| {{Monzo| 12 -3 -14 9 }}
| 5.1762
| [[Eliora]] (2023)
|-
| [[Hemfiness comma]]
| Saquadru-atriyo
| Saquadru-atriyo
| sr<sup>4</sup>y<sup>3</sup>-3
| s4ra3y-3
| 4096000 / 4084101
| 4096000 / 4084101
| {{monzo| 15 -5 3 -5 }}
| {{Monzo| 15 -5 3 -5 }}
| 5.0366
| 5.0366
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Acrodec temperaments|acrodec comma]]
| [[Acrodec comma]]
| Sasa-tribizo-aquadbigu
| Sasa-tribizo-aquadbigu
| ssz<sup>6</sup>g<sup>8</sup>6
| ss6za8g6
| 7710244864 / 7688671875
| 7710244864 / 7688671875
| {{monzo| 16 -9 -8 6 }}
| {{Monzo| 16 -9 -8 6 }}
| 4.8507
| 4.8507
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[Hewuermera temperaments|hewuermera]]
| [[Hewuermera comma]]
| Satribiru-agu
| Satribiru-agu
| sr<sup>6</sup>g-3
| s6rag-3
| 589824 / 588245
| 589824 / 588245
| {{monzo| 16 2 -1 -6 }}
| {{Monzo| 16 2 -1 -6 }}
| 4.6408
| 4.6408
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Lokismic temperaments|lokisma]], loki comma
| [[Hearts comma]]
| Trila-quadzo
| 3L4z1
| 34451725707 / 34359738368
| {{Monzo| -35 15 0 4 }}
| 4.6286
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[Lokisma]], loki comma
| Sasa-bizotrigu
| Sasa-bizotrigu
| sszzg<sup>6</sup>4
| ss2z3g4
| 102760448 / 102515625
| 102760448 / 102515625
| {{monzo| 21 -8 -6 2 }}
| {{Monzo| 21 -8 -6 2 }}
| 4.1295
| 4.1295
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[garischisma]], septimal schisma
| [[Garischisma]], septimal schisma
| Sasaru
| Sasaru
| ssr2
| ssr2
| 33554432 / 33480783
| 33554432 / 33480783
| {{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]]
| [[1617/1600|Antimisma]]
| Lobizogu
| Lobizogu
| 1ozzgg2
| 1o2zg2
| 1617/1600
| 1617 / 1600
| {{monzo| -6 1 -2 2 1 }}
| {{Monzo| -6 1 -2 2 1 }}
| 18.297
| 18.297
| [[User:Jerdle|Jerdle]] (2021)
|-
|-
| [[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
|
|-
|-
| [[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]]
| [[Betarabian comma]]
Line 933: Line 1,271:
| L1oo-2
| L1oo-2
| 264627 / 262144
| 264627 / 262144
| {{monzo| -18 7 0 0 2 }}
| {{Monzo| -18 7 0 0 2 }}
| 16.321
| 16.321
| [[Dawson Berry]] (2020)
|-
|-
| [[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)
|-
|-
| aphrowe
| [[2835/2816|35/11 kleisma]]
| Laluzoyo
| L1uzy1
| 2835 / 2816
| {{Monzo| -8 4 1 1 -1 }}
| 11.642
|
|-
| [[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)
|-
|-
| [[valinorsma]]
| [[2200/2187|Small tetracot diesis]]
| Saloyoyo
| s1oyy1
| 2200 / 2187
| {{Monzo| 3 -7 2 0 1 }}
| 10.260
| [[User:ArrowHead294|ArrowHead294]]
|-
| [[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 }}
| 9.6880
| 9.6880
|
|-
|-
| [[Alpharabian comma]]
| [[Alpharabian comma]]
| Laquadlo
| Laquadlo
| L1o<sup>4</sup>-2
| L4(1o)-2
| 131769 / 131072
| 131769 / 131072
| {{monzo| -17 2 0 0 4 }}
| {{Monzo| -17 2 0 0 4 }}
| 9.1818
| 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
|
|-
|-
| [[fantares temperaments|fantares comma]]
| [[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
| Luluzoquadyo
| 1uuzy<sup>4</sup>1
| 1uuz4y1
| 4375 / 4356
| 4375 / 4356
| {{monzo| -2 -2 4 1 -2 }}
| {{Monzo| -2 -2 4 1 -2 }}
| 7.5349
| 7.5349
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[semicanousma]]
| [[Semicanousma]]
| Quadlo-agu
| Quadlo-agu
| 1o<sup>4</sup>g1
| 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)
|-
|-
| [[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)
|-
|-
| [[semiporwellisma]]
| [[Semiporwellisma]]
| Salulugu
| Salulugu
| s1uug2
| s1uug2
| 16384 / 16335
| 16384 / 16335
| {{monzo| 14 -3 -1 0 -2 }}
| {{Monzo| 14 -3 -1 0 -2 }}
| 5.1854
| 5.1854
| [[Flora Canou]] (2021)
|-
|-
| octatonic comma
| [[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)
|-
|-
| [[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]]
| [[Trimitone comma]]
| Lalotrigu
| Lalotrigu
| L1og<sup>3</sup>1
| L1o3g1
| 8019/8000
| 8019 / 8000
| {{monzo| -6 6 -3 0 1 }}
| {{Monzo| -6 6 -3 0 1 }}
| 4.1068
| 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)
|-
|-
| [[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
|
|-
|-
| [[6250/6237|liganellus comma]], liganellisma
| [[Unisquarisma]], unisquary comma
|Luruquinyo
| Trilu-aquadzo-ayo
| 1ury<sup>5</sup>-2
| 3(1u)4zay3
| 6250/6237
| 12005 / 11979
| {{monzo| 1 -4 5 -1 -1 }}
| {{Monzo| 0 -2 1 4 -3 }}
| 3.60473
| 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 1,070: 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
| [[65/64]]
| 65/64
| {{monzo| -6 0 1 0 0 1 }}
| {{Monzo| -6 0 1 0 0 1 }}
| 26.841
| 26.841
|
|-
|-
| [[Hyperpyth|hyperpyth comma]]
| [[Hyperpyth comma]]
| Quadtho-aquingu
| Quadtho-aquingu
| 3o<sup>4</sup>g<sup>5</sup>3
| 4(3o)5g3
| 28561/28125
| 28561/28125
| {{monzo| 0 -2 -5 0 0 4 }}
| {{Monzo| 0 -2 -5 0 0 4 }}
| 26.632
| 26.632
|
|-
|-
| winmeanma
| [[66/65|Winmeanma]]
| Thulogu
| Thulogu
| 3u1og1
| 3u1og1
| [[66/65]]
| 66/65
| {{monzo| 1 1 -1 0 1 -1 }}
| {{Monzo| 1 1 -1 0 1 -1 }}
| 26.432
| 26.432
|
|-
| [[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)
|-
|-
| negustma
| [[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
| [[78/77]]
| 78/77
| {{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
| [[91/90]]
| 91/90
| {{monzo| -1 -2 -1 1 0 1 }}
| {{Monzo| -1 -2 -1 1 0 1 }}
| 19.130
| 19.130
|
|-
|-
| diahuntmisma
| [[8281/8192|Diahuntmisma]]
| Labithozo
| Labithozo
| L3oozz2
| L2(3oz)2
| [[8281/8192]]
| 8281/8192
| {{monzo| -13 0 0 2 0 2 }}
| {{Monzo| -13 0 0 2 0 2 }}
| 18.707
| 18.707
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| tridecimal neutral 3rds comma
| [[512/507|Tridecimal neutral thirds comma]]
| Thuthu
| Thuthu
| 3uu1
| 3uu1
| [[512/507]]
| 512/507
| {{monzo| 9 -1 0 0 0 -2 }}
| {{Monzo| 9 -1 0 0 0 -2 }}
| 16.990
| 16.990
|
|-
|-
| animist
| [[105/104|Animist comma]]
| Thuzoyo
| Thuzoyo
| 3uzy1
| 3uzy1
| [[105/104]]
| 105/104
| {{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)
|-
| [[832/825]]
| Tholugugu
| 3o1ugg2
| 832/825
| {{Monzo| 6 -1 -2 0 -1 1 }}
| 14.627
|
|-
|-
| secorian
| [[Secorian comma]]
| Sathuzo
| Sathuzo
| s3uz2
| s3uz2
| 28672 / 28431
| 28672 / 28431
| {{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
| 3159/3136
| 3159/3136
| {{monzo| -6 5 0 -2 0 1}}
| {{Monzo| -6 5 0 -2 0 1}}
| 12.651
| 12.651
|
|-
|-
| [[gassormic chords|gassorma]]
| [[275/273|Gassorma]]
| Thuloruyoyo
| Thuloruyoyo
| 3u1oryy-2
| 3u1oryy-2
| [[275/273]]
| 275/273
| {{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
| [[144/143]]
| 144/143
| {{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
|
|-
|-
| buzurgisma, dhanvantarisma
| [[Lesser tendoneutralisma]]
| Sasa-quadtrithu
| ss12(3u)-2
| 70368744177664 / 69894255367443
| {{Monzo| 46 -1 0 0 0 -12 }}
| 11.713
| [[Godtone]] (2024)
|-
| [[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
| 169/168
| 169/168
| {{monzo| -3 -1 0 -1 0 2 }}
| {{Monzo| -3 -1 0 -1 0 2 }}
| 10.274
| 10.274
| [[Margo Schulter]] (2012) for ''buzurgisma''
|-
|-
| diagassormisma
| [[3042/3025|Diagassormisma]]
| Bitholugu
| Bitholugu
| 3oo1uugg2
| 2(3o1ug)2
| [[3042/3025]]
| 3042/3025
| {{monzo| 1 2 -2 0 -2 2 }}
| {{Monzo| 1 2 -2 0 -2 2 }}
| 9.7020
| 9.7020
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| greater nelindic comma
| Greater nelindic comma
| Thothoquinru-ayoyo
| Thothoquinru-ayoyo
| 3oor<sup>5</sup>yy-3
| 3oo5rayy-3
| 16900/16807
| 16900/16807
| {{monzo| 2 0 2 -5 0 2 }}
| {{Monzo| 2 0 2 -5 0 2 }}
| 9.5532
| 9.5532
| [[User:Kaiveran|Kaiveran]] (2019)
|-
|-
| catadictma
| [[1287/1280|Catadictma]]
| Thologu
| Thologu
| 3o1og1
| 3o1og1
| 1287/1280
| 1287/1280
| {{monzo| -8 2 -1 0 1 1 }}
| {{Monzo| -8 2 -1 0 1 1 }}
| 9.4419
| 9.4419
|
|-
| [[Glacier comma]]
| Quinthu
| 5(3u)-2
| 373248/371293
| {{Monzo| 9 6 0 0 0 -5 }}
| 9.0917
| [[ArrowHead294]] (2024)
|-
|-
| [[mynucumic chords|mynucuma]]
| [[196/195|Mynucuma]]
| Thuzozogu
| Thuzozogu
| 3uzzg2
| 3uzzg2
| 196/195
| 196/195
| {{monzo| 2 -1 -1 2 0 -1 }}
| {{Monzo| 2 -1 -1 2 0 -1 }}
| 8.8554
| 8.8554
|
|-
|-
| [[huntmic chords|huntma]], lesser 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
| 640/637
| 640/637
| {{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
|
|-
|-
| [[kestrel chords|kestrel comma]]
| [[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)
|-
| [[1188/1183|Kestrel comma]]
| Thuthuloru
| Thuthuloru
| 3uu1or-2
| 3uu1or-2
| 1188/1183
| 1188/1183
| {{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
| [[Praveensma]]
|  
| Thoquadzo
|  
| 3o4z3
| [[31213/31104]]
| 31213/31104
| {{monzo| -7 -5 0 4 0 1 }}
| {{Monzo| -7 -5 0 4 0 1 }}
| 6.0563
| 6.0563
| [[Praveen Venkataramana]] (2022)
|-
|-
| lambeth
| [[1573/1568|Lambeth comma]]
| Thobiloru
| Thobiloru
| 3o1oorr-2
| 3o2(1or)-2
| [[1573/1568]]
| 1573/1568
| {{monzo| -5 0 0 -2 2 1 }}
| {{Monzo| -5 0 0 -2 2 1 }}
| 5.5117
| 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)
|-
|-
| 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
|
|-
|-
| minthma, 11/13-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 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
| [[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
|
|}
|}


=== [[17-limit commas]] ===
=== 17-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
|-
|-
| soruyo unison
| [[2048/2023]]
| Susuru
| 17uur-2
| 2048/2023
| {{Monzo| 11 0 0 -1 0 0 -2 }}
| 21.263
|
|-
| [[85/84|Monk comma]]
| Soruyo
| Soruyo
| 17ory1
| 17ory1
| 85/84
| 85/84
| {{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
| 289/286
| 289/286
| {{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
| 17u3o<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
|
|-
|-
| septendecimal comma, Hunt flat 2 comma
| [[429/425|Middle semisixthma]]
| Suthologugu
| 17u3o1ogg1
| 429/425
| {{Monzo| 0 1 -2 0 1 1 -1 }}
| 16.218
| [[User:Xenllium|Xenllium]] (2024)
|-
| [[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''
|-
|-
| [[120/119|lynchisma]], suruyo comma
| [[120/119|Lynchisma]]
| Suruyo
| Suruyo
| 17ury-2
| 17ury-2
| 120/119
| 120/119
| {{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
| Trila-twetheso
|L<sup>3</sup>17o<sup>23</sup>10
| 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
| 170/169
| 170/169
| {{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>
| [[2187/2176|Septendecimal schisma]]
|Lasu
| Lasu
|L17u-2
| 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)
|-
|-
| [[Mean thirds comma]]
| [[Mean thirds comma]]
|Lasosoyo
| Lasosoyo
|L17ooy1
| L17ooy1
|1053405/1048576
| 1053405/1048576
|{{monzo|-20 6 1 0 0 0 2}}
| {{Monzo|-20 6 1 0 0 0 2}}
|7.9545
| 7.9545
| [[User:Jerdle|Jerdle]] (2022)
|-
|-
| Blume comma
| [[221/220|Minor naiadma]]
|Sololo
| Sotholugu
|17o1oo1
| 17o3o1ug2
|2057/2048
| 221/220
|{{monzo| -11 0 0 0 2 0 1 }}
| {{Monzo| -2 0 -1 0 -1 1 1 }}
|7.5913
| 7.8514
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
|septendecimal kleisma
| [[2057/2048|Blume comma]]
|Sugu
| Sololo
|17ug1
| 17o1oo1
|256/255
| 2057/2048
|
| {{monzo| -11 0 0 0 2 0 1 }}
{{monzo| 8 -1 -1 0 0 0 -1 }}
| 7.5913
|6.7759
| [[Douglas Blumeyer]]
|-
| [[256/255|Charisma]], charic comma, <br>septendecimal kleisma
| Sugu
| 17ug1
| 256/255
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| 6.7759
| See the page.
|-
| [[273/272|Tannisma, prototannisma]]
| Suthozo
| 17u3oz1
| 273/272
| {{Monzo| -4 1 0 1 0 1 -1}}
| 6.3532
| [[Scott Dakota]] (2017) for ''tannisma'' <br>[[Flora Canou]] (2023) for ''prototannisma''
|-
| [[289/288|Semitonisma]], septendecimal semitones comma, septendecimal 6-cent comma
| Soso
| 17oo2
| 289/288
| {{Monzo| -5 -2 0 0 0 0 2 }}
| 6.0008
| [[Flora Canou]] (2023) ''for semitonisma''
|-
|-
|tannisma
| [[375/374|Ursulisma]]
|Suthozo
| Sulutriyo
|17u3oz1
| 17u1u3y-2
|[[273/272]]
| 375/374
|{{monzo| -4 1 0 1 0 1 -1}}
| {{Monzo| -1 1 3 0 -1 0 -1 }}
|6.3532
| 4.6228
| [[Dawson Berry]], [[User:VIxen|VIxen]] (2023)
|-
|-
|septendecimal integer cents comma
| [[442/441|Seminaiadma]]
|Soso
| Sothoruru
|17oo2
| 17o3orr1
|[[289/288]]
| 442/441
|{{monzo| -5 -2 0 0 0 0 2 }}
| {{Monzo| 1 -2 0 -2 0 1 1 }}
|6.0008
| 3.9213
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
|17-ripple <strike>integer cents</strike> comma
| [[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''
|}
|}


===[[19-limit commas]]===
=== 19-limit commas ===


{| class="wikitable"
{| class="wikitable"
!Name(s)
! Name(s)
! colspan="2" |[[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
|135/133
| 135/133
|{{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
|76/75
| 76/75
|{{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
|77/76
| 77/76
|{{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
|96/95
| 96/95
|{{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
|{{monzo| -8 0 0 0 0 0 3 -1 }}
| {{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
|133/132
| 133/132
|{{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)
|-
|-
|[[153/152|ganassisma]], Ganassi's comma
| [[153/152|Ganassisma]], Ganassi's comma
|Nuso
| Nuso
|19u17o1
| 19u17o1
|153/152
| 153/152
|{{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
|171/170
| 171/170
|{{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
|{{monzo| 3 0 0 0 -2 0 2 -1 }}
|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)
|-
|-
| yama comma
| [[190/189|Cotylisma]]
|Nothulo
| Noruyo
|19o3u1o1
| 19ory1
|209/208
| 190/189
|{{monzo| -4 0 0 0 1 -1 0 1 }}
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
|8.3033
| 9.1358
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| spleen comma
| [[209/208|Yama comma]]
|Nuluzoyo
| Nothulo
|19u1uzy1
| 19o3u1o1
|210/209
| 209/208
| {{monzo| 1 1 1 1 -1 0 0 -1 }}
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
|8.2637
| 8.3033
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
|nuthologu comma
| [[210/209|Spleen comma]]
| Nuluzoyo
| 19u1uzy1
| 210/209
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| 8.2637
| [[User:Xenllium|Xenllium]] (2023)
|-
| [[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
|286/285
| 286/285
|{{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
|[[324/323]]
| 324/323
|
| {{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)
|-
| [[361/360|Go comma]], dudon comma
| Nonogu
| 19oog2
| 361/360
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| 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)
|-
|-
|go comma
| [[484/483|Pittsburghisma]]
|Nonogu
| Twethuloloru
|19oog2
| 23u1oor-2
|361/360
| 484/483
|{{monzo| -3 -2 -1 0 0 0 0 2 }}
| 2.3.7.11.23 {{monzo| 2 -1 -1 2 -1 }}
|4.8023
| 3.5806
| [[User:Xenllium|Xenllium]] (2023)
|}
|}


==Higher-limit commas==
=== 29-limit commas ===
{| class="wikitable"
{| class="wikitable"
!Name(s)
! Name(s)
! colspan="2" |[[Color name]]
! colspan="2" | [[Color name]]
!Ratio
! Ratio
!Monzo
! Monzo
!Cents
! Cents
! Named by
|-
|-
|Classical mediant of Didymus' and Archytas' commas
| Classical mediant of Didymus' and Archytas' commas
| Twenothuluyo
| Twenothuluyo
|29o3u1uy1
| 29o3u1uy1
|145/143
| 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)
|}
 
=== Higher-limit commas ===
{| class="wikitable"
! Name(s)
! 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]]
|
|
{{Monzo| 0 0 1 0 -1 -1 0 0 0 1 }}
| 127o19ug1
|24.045
| 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)
|}
|}


<references />
== See also ==
* [[Comma and diesis]]


[[Category:Commas]]
[[Category:Small commas| ]] <!-- main article -->
[[Category:Small commas| ]]
[[Category:Lists of commas]]
<!-- main article -->
{{todo|complete table|add color name}}