Small comma: Difference between revisions

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7-limit commas: 1500625/1492992 is simply the 7-limit comma of uniwiz
 
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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 ==
Line 11: 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]]
Line 31: Line 33:
| {{Monzo| -103 65 }}
| {{Monzo| -103 65 }}
| 27.075
| 27.075
|
|-
|-
| [[Pythagorean comma]]
| [[Pythagorean comma]]
Line 43: Line 46:
| 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
Line 83: Line 86:
| 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
Line 94: Line 97:
{| 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]]
Line 102: Line 105:
| [[Magic comma]], small diesis
| [[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
Line 110: Line 113:
| [[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 }}
Line 118: Line 121:
| [[Tetracot comma]], minimal diesis
| [[Tetracot comma]], minimal diesis
| Saquadyo
| Saquadyo
| sy<sup>4</sup>1
| s4y1
| 20000 / 19683
| 20000 / 19683
| {{Monzo| 5 -9 4 }}
| {{Monzo| 5 -9 4 }}
Line 126: Line 129:
| [[Semaja comma]]
| [[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 }}
Line 140: Line 143:
|  
|  
|-
|-
| [[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 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)
|-
|-
| [[Birds comma]]
| [[Birds comma]]
| Quadsa-thiwegu
| Quadsa-thiwegu
| s<sup>4</sup>g<sup>31</sup>9
| 4s31g9
|
|
| {{Monzo| 72 0 -31 }}
| {{Monzo| 72 0 -31 }}
Line 165: Line 176:
|-
|-
| [[Neuk comma]]
| [[Neuk comma]]
|  
| Trisa-yoyo
|  
| 3syy3
|
| 858993459200 / 847288609443
| {{Monzo| 35 -25 2 }}
| {{Monzo| 35 -25 2 }}
| 23.752
| 23.752
Line 174: Line 185:
| [[Maja comma]]
| [[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)
|-
|-
| [[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 }}
Line 190: Line 201:
| [[Misneb comma]]
| [[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 comma]], Didymus comma, 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
Line 206: Line 217:
| [[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
Line 230: Line 241:
| [[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 }}
Line 252: Line 263:
| [[Paul Erlich]] (2002)
| [[Paul Erlich]] (2002)
|-
|-
| [[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.
|-
| [[Enneadecacot comma]]
| Tribisa-negu
| 6s19g8
| 562949953421312 / 557439598640741
| {{monzo| 79 -22 -19 }}
| 17.029
| [[User:CompactStar|CompactStar]] (2024)
|-
|-
| [[Oquatonic comma]]
| [[Oquatonic comma]]
| Quadla-sepquadyo
| Quadla-sepquadyo
| L<sup>4</sup>y<sup>28</sup>-8
| 4L28y-8
|
| <abbr title="37252902984619140625 / 36893488147419103232">(40 digits)</abbr>
| {{Monzo| -65 0 28 }}
| {{Monzo| -65 0 28 }}
| 16.784
| 16.784
|  
| [[Petr Pařízek]] (2011)
|-
|-
| [[Undim comma]]
| [[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 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 comma]]
| [[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 comma]]
| [[Quartonic comma]]
| Saleyo
| Saleyo
| sy<sup>11</sup>-2
| s11y-2
| 390625000 / 387420489
| 390625000 / 387420489
| {{Monzo| 3 -18 11 }}
| {{Monzo| 3 -18 11 }}
Line 302: Line 321:
| [[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]]
| [[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)
|-
|-
| [[Sensipent comma]], medium semicomma
| [[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)
|-
| [[Counterwürschmidt comma]]
| Trisa-twethegu
| 3s23g7
| <abbr title="36028797018963968 / 35762786865234375">(34 digits)</abbr>
| {{Monzo| 55 -1 -23 }}
| 12.830
| [[Flora Canou]] (2023)
|-
|-
| [[Tertiosec comma]]
| [[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 }}
Line 339: Line 375:
|  
|  
|-
|-
| [[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 }}
| {{Monzo| -37 38 -10 }}
| 11.153
| 11.153
Line 349: Line 385:
| [[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)
| [[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
|  
|  
|-
| [[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 }}
Line 381: Line 425:
| [[15625/15552|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
| Shohé Tanaka (1890)
| {{W|Shohé Tanaka}} (1890)
|-
|-
| [[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
| Quadbisa-finegu
| s<sup>8</sup>g<sup>59</sup>16
| 8s59g16
|  
|  
| {{Monzo| 137 0 -59 }}
| {{Monzo| 137 0 -59 }}
Line 405: Line 449:
| [[Unidecma]]
| [[Unidecma]]
| Laquadtrigu
| Laquadtrigu
| Lg<sup>12</sup>2
| L12g2
| 31381059609 / 31250000000
| 31381059609 / 31250000000
| {{Monzo| -7 22 -12 }}
| {{Monzo| -7 22 -12 }}
Line 413: Line 457:
| [[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]] (2002)
| [[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]] (2002)
| [[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 }}
Line 445: Line 497:
| [[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 }}
Line 461: Line 513:
| [[Barium 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 }}
Line 469: Line 521:
| [[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)
| [[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)
|}
|}


Line 487: Line 547:
{| 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]]
Line 500: Line 560:
| 29.218
| 29.218
| [[User:Xenllium|Xenllium]] (2022)
| [[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 }}
Line 527: Line 603:
| [[Mandos comma]]
| [[Mandos comma]]
| Birugugu
| Birugugu
| rrg<sup>4</sup>1
| 2rgg1
| 31104 / 30625
| 31104 / 30625
| {{Monzo| 7 5 -4 -2 }}
| {{Monzo| 7 5 -4 -2 }}
Line 535: Line 611:
| [[Slither comma]]
| [[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)
| [[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 }}
Line 551: Line 635:
| 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 }}
Line 559: Line 643:
| [[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 comma]]
| [[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 }}
Line 575: Line 659:
| [[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 comma]]
| [[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
Line 591: Line 675:
| [[3125/3087|Gariboh comma]]
| [[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]]
| [[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
Line 607: Line 691:
| [[2430/2401|Nuwell comma]]
| [[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]]
| [[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 }}
Line 623: Line 707:
| [[Negricorn comma]], 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 }}
Line 639: Line 723:
| [[Icosipentatonic comma]], 25-36/35-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 }}
Line 647: Line 731:
| [[Valenwuer comma]]
| [[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)
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[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
| [[User:Xenllium|Xenllium]] (2021)
| 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 }}
Line 671: Line 755:
| [[Mirwomo comma]]
| [[Mirwomo comma]]
| Labizoyo
| Labizoyo
| Lzzyy1
| L2zy1
| 33075 / 32768
| 33075 / 32768
| {{Monzo| -15 3 2 2 }}
| {{Monzo| -15 3 2 2 }}
Line 679: Line 763:
| [[Catasyc comma]]
| [[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 }}
Line 687: Line 771:
| [[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 }}
Line 695: Line 779:
| [[Trimyna comma]]
| [[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 }}
Line 711: Line 795:
| [[126/125|Starling comma]], septimal semicomma
| [[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 }}
Line 719: Line 803:
| 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 }}
Line 727: Line 811:
| [[4000/3969|Octagar comma]]
| [[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)
|-
|-
| [[1728/1715|Orwellisma]]
| [[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 }}
Line 743: Line 827:
| [[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 }}
Line 751: Line 835:
| 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 }}
Line 759: Line 843:
| [[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
Line 767: Line 851:
| [[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)
| [[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 }}
Line 781: Line 873:
|  
|  
|-
|-
| [[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 }}
| {{Monzo| 73 0 0 -26 }}
| 10.526
| 10.526
Line 791: Line 883:
| [[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 }}
Line 799: Line 891:
| [[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 }}
Line 807: Line 899:
| [[Quince comma]]
| [[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
|
|-
| [[Historisma]]
| Latribizogu
| L6zg4
| 257298363 / 256000000
| {{Monzo| -14 7 -6 6 }}
| 8.7582
| [[ArrowHead294]] (2024)
|-
|-
| [[1029/1024|Gamelisma]]
| [[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 }}
Line 823: Line 931:
| [[Varunisma]]
| [[Varunisma]]
| Labizogugu
| Labizogugu
| Lzzg<sup>4</sup>2
| L2zgg2
| 321489 / 320000
| 321489 / 320000
| {{Monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
Line 839: Line 947:
| [[Dimcomp comma]]
| [[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 }}
Line 847: Line 955:
| [[Cataharry comma]]
| [[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]]
| [[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
|  
|  
|-
| [[Qiqi comma]]
| Sepruyoyo
| 7ryy-6
| 48828125000 / 48629390607
| {{Monzo| 3 -10 14 -7 }}
| 7.0606
| [[User:Angekallikoita|Ange]] (2025)
|-
|-
| [[Mirkwai comma]]
| [[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 }}
Line 879: Line 995:
| [[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 }}
Line 887: Line 1,003:
| [[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 }}
Line 895: Line 1,011:
| [[10976/10935|Hemimage comma]]
| [[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 comma]]
| [[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 comma]], 5/7-kleisma
| [[5120/5103|Hemifamity comma]], 5/7-kleisma
Line 915: Line 1,031:
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
| 5.7578
| 5.7578
|  
| [[Gene Ward Smith]] (2005)
|-
|-
| [[Parkleiness comma]]
| [[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)
| [[User:Xenllium|Xenllium]] (2021)
|-
| [[Octaphore comma]], enneagari comma
| Sasa-quadbizo
| ss8z6
| 94450499584 / 94143178827
| {{Monzo| 14 -23 0 8 }}
| 5.6422
| [[User:Unque|Unque]] (2024)
|-
|-
| [[Linus comma]]
| [[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 }}
Line 943: Line 1,067:
| [[6144/6125|Porwell comma]]
| [[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]] (2010)
| [[Gene Ward Smith]], [[Petr Pařízek]] (2010)
|-
|-
| [[Cartoonisma]]
| [[Cartoonisma]]
| Satritrizo-asepbigu
| Satritrizo-asepbigu
|  
| s9za14g8
| 165288374272 / 164794921875
| 165288374272 / 164794921875
| {{Monzo| 12 -3 -14 9 }}
| {{Monzo| 12 -3 -14 9 }}
Line 959: Line 1,083:
| [[Hemfiness comma]]
| [[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 }}
Line 967: Line 1,091:
| [[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 }}
Line 975: Line 1,099:
| [[Hewuermera comma]]
| [[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)
| [[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
| [[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 }}
Line 999: Line 1,131:
| [[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 }}
Line 1,017: Line 1,157:
{| 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
Line 1,024: Line 1,164:
|-
|-
| [[Dew comma]]
| [[Dew comma]]
|  
| Salo
|  
| s1o2
| 180224 / 177147
| 180224 / 177147
| {{Monzo| 14 -11 0 0 1 }}
| {{Monzo| 14 -11 0 0 1 }}
Line 1,033: Line 1,173:
| [[Thuja comma]]
| [[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
|  
|  
|-
| [[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]]
| [[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
Line 1,049: Line 1,205:
| [[Sevnothrush comma]]
| [[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
Line 1,057: Line 1,213:
| [[245/242|Frostma]]
| [[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)
| [[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
Line 1,074: Line 1,238:
| 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
|  
|  
|-
| [[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]]
| [[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
Line 1,089: Line 1,261:
| [[Hemimin comma]]
| [[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
Line 1,101: Line 1,273:
| {{Monzo| -18 7 0 0 2 }}
| {{Monzo| -18 7 0 0 2 }}
| 16.321
| 16.321
| [[Aura]] (2020)
| [[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
Line 1,114: Line 1,286:
| Luluruyo
| Luluruyo
| 1uury1
| 1uury1
| 2560/2541
| 2560 / 2541
| {{Monzo| 9 -1 1 -1 -2 }}
| {{Monzo| 9 -1 1 -1 -2 }}
| 12.897
| 12.897
| [[User:Jerdle|Jerdle]] (2023)
| [[User:Jerdle|Jerdle]] (2023)
|-
| [[2835/2816|35/11 kleisma]]
| Laluzoyo
| L1uzy1
| 2835 / 2816
| {{Monzo| -8 4 1 1 -1 }}
| 11.642
|
|-
|-
| [[Aphrowe comma]]
| [[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]]
|-
|-
| [[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
Line 1,138: Line 1,326:
| Saluzo
| Saluzo
| s1uz2
| s1uz2
| 896/891
| 896 / 891
| {{Monzo| 7 -4 0 1 -1 }}
| {{Monzo| 7 -4 0 1 -1 }}
| 9.6880
| 9.6880
Line 1,145: Line 1,333:
| [[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
| [[Aura]] (2020)
| [[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 }}
Line 1,161: Line 1,349:
| [[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
|
|-
| [[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]]
| [[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 }}
Line 1,176: Line 1,381:
| [[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 }}
Line 1,185: Line 1,390:
| Lulu
| Lulu
| 1uu1
| 1uu1
| 243/242
| 243 / 242
| {{Monzo| -1 5 0 0 -2 }}
| {{Monzo| -1 5 0 0 -2 }}
| 7.1391
| 7.1391
Line 1,192: Line 1,397:
| [[3388/3375|Myhemiwell comma]]
| [[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]]
Line 1,206: Line 1,419:
| [[Flora Canou]] (2021)
| [[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)
|-
|-
| [[385/384|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
Line 1,223: Line 1,437:
| [[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)
| [[User:Godtone|Godtone]] (2021)
|-
| [[4-cent comma]]
| Lutritryo
| 1u9y-2
| 1953125 / 1948617
| {{Monzo| 0 -11 9 0 -1 }}
| 4.0004
| [[User:Jerdle|Jerdle]] (2021)
|-
|-
| [[441/440|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 comma]]
| [[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
| [[6250/6237|Liganellus comma]], liganellisma
| Luruquinyo
| Luruquinyo
| 1ury<sup>5</sup>-2
| 1ur5y-2
| 6250/6237
| 6250 / 6237
| {{Monzo| 1 -4 5 -1 -1 }}
| {{Monzo| 1 -4 5 -1 -1 }}
| 3.60473
| 3.6047
| [[Aura]] (2020)
| [[Dawson Berry]] (2020)
|}
|}


Line 1,262: Line 1,492:
! Cents
! Cents
! Named by
! Named by
|-
| [[Lovecraft comma]]
| Thothotrilu
| 3oo3(1u)2
| 1352/1331
| {{monzo|3 0 0 0 -3 2}}
| 27.101
|
|-
|-
| [[65/64|Wilsorma]]
| [[65/64|Wilsorma]]
Line 1,273: Line 1,511:
| [[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 }}
Line 1,286: Line 1,524:
| 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)
|-
| [[507/500|Large semisixthma]]
| Thothotrigu
| 3oo3g2
| 507/500
| {{Monzo| -2 1 -3 0 0 2 }}
| 24.069
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[78/77|Negustma]]
| [[78/77|Negustma]]
Line 1,294: Line 1,556:
| 22.339
| 22.339
|  
|  
|-
| [[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]]
| [[91/90|Biome comma, superleap comma]]
Line 1,305: Line 1,575:
| [[8281/8192|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 }}
Line 1,311: Line 1,581:
| [[User:Xenllium|Xenllium]] (2022)
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[512/507|Tridecimal neutral 3rds comma]]
| [[512/507|Tridecimal neutral thirds comma]]
| Thuthu
| Thuthu
| 3uu1
| 3uu1
Line 1,325: 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)
|-
| [[832/825]]
| Tholugugu
| 3o1ugg2
| 832/825
| {{Monzo| 6 -1 -2 0 -1 1 }}
| 14.627
|  
|  
|-
|-
Line 1,341: Line 1,627:
| {{Monzo| -6 5 0 -2 0 1}}
| {{Monzo| -6 5 0 -2 0 1}}
| 12.651
| 12.651
|
|-
|-
| [[275/273|Gassorma]]
| [[275/273|Gassorma]]
Line 1,357: Line 1,644:
| 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)
|-
| [[Dinos comma]]
| Lathuthuquingu
| L3uu5g1
| 531441/528125
| {{Monzo| 0 12 -5 0 0 -2 }}
| 10.836
| [[Dummy Index]] (2024)
|-
|-
| [[169/168|Buzurgisma, dhanvantarisma]]
| [[169/168|Buzurgisma, dhanvantarisma]]
Line 1,364: 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'')
| [[Margo Schulter]] (2012) for ''buzurgisma''
|-
|-
| [[3042/3025|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 }}
Line 1,376: Line 1,687:
| 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 }}
Line 1,382: Line 1,693:
| [[User:Kaiveran|Kaiveran]] (2019)
| [[User:Kaiveran|Kaiveran]] (2019)
|-
|-
| [[Catadictma]]
| [[1287/1280|Catadictma]]
| Thologu
| Thologu
| 3o1og1
| 3o1og1
Line 1,389: Line 1,700:
| 9.4419
| 9.4419
|  
|  
|-
| [[Glacier comma]]
| Quinthu
| 5(3u)-2
| 373248/371293
| {{Monzo| 9 6 0 0 0 -5 }}
| 9.0917
| [[ArrowHead294]] (2024)
|-
|-
| [[196/195|Mynucuma]]
| [[196/195|Mynucuma]]
Line 1,397: Line 1,716:
| 8.8554
| 8.8554
|  
|  
|-
| [[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
| [[640/637|Huntma]], lesser nelindic comma
Line 1,404: 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)
| [[User:Kaiveran|Kaiveran]] (2019) for ''lesser nelindic comma''
|-
|-
| [[2197/2187|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]]
| [[4394/4375|Hebrewsma]]
|  
| Tritho-aruquadgu
|  
| 3(3o)r4g2
| 4394/4375
| 4394/4375
| {{Monzo| 1 0 -4 -1 0 3 }}
| {{Monzo| 1 0 -4 -1 0 3 }}
Line 1,429: Line 1,764:
| 7.3017
| 7.3017
| [[Gene Ward Smith]] (2011)
| [[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 }}
Line 1,440: Line 1,791:
| [[1573/1568|Lambeth comma]]
| [[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 }}
Line 1,454: Line 1,805:
|  
|  
|-
|-
| 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)
|-
|-
| [[351/350|Ratwolfsma]]
| [[351/350|Ratwolfsma]]
Line 1,470: Line 1,821:
|  
|  
|-
|-
| [[352/351|Minthma]], 11/13-kleisma
| [[352/351|Major minthma, major gentle comma]], 11/13-kleisma
| Thulo
| Thulo
| 3u1o1
| 3u1o1
Line 1,476: Line 1,827:
| {{Monzo| 5 -3 0 0 1 -1 }}
| {{Monzo| 5 -3 0 0 1 -1 }}
| 4.9253
| 4.9253
|  
| See the page.
|-
|-
| [[364/363|Gentle comma]]
| [[364/363|Minor minthma, minor gentle comma]]
| Tholuluzo
| Tholuluzo
| 3o1uuz2
| 3o1uuz2
Line 1,484: Line 1,835:
| {{Monzo| 2 -1 0 1 -2 1 }}
| {{Monzo| 2 -1 0 1 -2 1 }}
| 4.7627
| 4.7627
|  
| See the page.
|-
|-
| [[847/845|Cuthbert comma]]
| [[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 }}
Line 1,499: 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
Line 1,505: Line 1,856:
! Named by
! 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
Line 1,511: 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)
|-
|-
| [[289/286|Lum comma]]
| [[289/286|Lum comma]]
Line 1,523: Line 1,882:
| [[2197/2176|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
|  
|  
|-
| [[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
| [[4131/4096|Septendecimal comma]], Hunt flat 2 comma
Line 1,535: Line 1,902:
| {{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]]
| [[120/119|Lynchisma]]
Line 1,545: Line 1,912:
| [[User:Xenllium|Xenllium]] (2022)
| [[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 }}
Line 1,553: Line 1,920:
|  
|  
|-
|-
| Septendecimal semicomma
| [[136/135|Diatisma]], diatic comma, <br>fiventeen comma, septendecimal semicomma
| Sogu
| Sogu
| 17og2
| 17og2
Line 1,559: Line 1,926:
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| 12.777
| 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)
|-
|-
| [[170/169|Major naiadma]]
| [[170/169|Major naiadma]]
Line 1,576: Line 1,951:
| 8.7296
| 8.7296
| [[Plainsound Music Edition]] (2020)
| [[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]]
Line 1,599: Line 1,982:
| {{monzo| -11 0 0 0 2 0 1 }}
| {{monzo| -11 0 0 0 2 0 1 }}
| 7.5913
| 7.5913
|  
| [[Douglas Blumeyer]]
|-
|-
| [[256/255|Septendecimal kleisma]], diasemisma
| [[256/255|Charisma]], charic comma, <br>septendecimal kleisma
| Sugu
| Sugu
| 17ug1
| 17ug1
Line 1,607: 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.
|-
|-
| [[273/272|Prototannisma]]
| [[273/272|Tannisma, prototannisma]]
| Suthozo
| Suthozo
| 17u3oz1
| 17u3oz1
Line 1,615: 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)
| [[Scott Dakota]] (2017) for ''tannisma'' <br>[[Flora Canou]] (2023) for ''prototannisma''
|-
|-
| [[289/288|Semitonisma]]
| [[289/288|Semitonisma]], septendecimal semitones comma, septendecimal 6-cent comma
| Soso
| Soso
| 17oo2
| 17oo2
Line 1,623: 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)
| [[Flora Canou]] (2023) ''for semitonisma''
|-
|-
| [[375/374|Ursulisma]]
| [[375/374|Ursulisma]]
| Sulutriyo
| Sulutriyo
| 17u1uy<sup>3</sup>-2
| 17u1u3y-2
| 375/374
| 375/374
| {{Monzo| -1 1 3 0 -1 0 -1 }}
| {{Monzo| -1 1 3 0 -1 0 -1 }}
| 4.6228
| 4.6228
| [[Aura]], [[User:VIxen|VIxen]] (2023)
| [[Dawson Berry]], [[User:VIxen|VIxen]] (2023)
|-
|-
| [[442/441|Seminaiadma]]
| [[442/441|Seminaiadma]]
Line 1,641: Line 2,024:
| [[User:Xenllium|Xenllium]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| 17-ripple <strike>integer cents</strike> comma{{clarify}}
| [[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 1,660: Line 2,043:
! Named by
! Named by
|-
|-
| Nuruyo comma
| 135/133
| Nuruyo
| Nuruyo
| 19ury-2
| 19ury-2
Line 1,668: Line 2,051:
|  
|  
|-
|-
| Nogugu 2nd
| [[76/75|Large undevicesimal 1/9-tone]]
| Nogugu
| Nogugu
| 19ogg2
| 19ogg2
Line 1,674: 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
| [[77/76|Small undevicesimal 1/9-tone]]
| Nulozo
| Nulozo
| 19u1oz1
| 19u1oz1
Line 1,682: 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)
|-
|-
| [[96/95|19th-partial chroma]]
| [[96/95|19th-partial chroma]]
Line 1,690: 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
| {{Monzo| -8 0 0 0 0 0 3 -1 }}
| {{Monzo| -8 0 0 0 0 0 3 -1 }}
Line 1,700: Line 2,083:
|  
|  
|-
|-
| 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 1,706: 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)
|-
|-
| [[153/152|Ganassisma]], Ganassi's comma
| [[153/152|Ganassisma]], Ganassi's comma
Line 1,724: Line 2,123:
| [[User:Xenllium|Xenllium]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| Hunt 19-cycle comma
| [[131072/130321|Undevicesimal Diminished Comma]], 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 }}
Line 1,733: Line 2,132:
|-
|-
| [[Eye comma]]
| [[Eye comma]]
| Nusosolulu
| Nubisolu
| 19u17oo1uu2
| 19u2(17o1u)2
| 2312/2299
| 2312/2299
| {{Monzo| 3 0 0 0 -2 0 2 -1 }}
| {{Monzo| 3 0 0 0 -2 0 2 -1 }}
Line 1,740: Line 2,139:
|  
|  
|-
|-
| 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]]
| [[190/189|Cotylisma]]
Line 1,762: 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)
|-
|-
| [[210/209|Spleen comma]]
| [[210/209|Spleen comma]]
Line 1,770: 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)
|-
| [[1083/1078|Bihendrixma]]
| Nonolururu
| 19oo1urr1
| 1083/1078
| {{Monzo| -1 1 0 -2 -1 0 0 2 }}
| 8.0113
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| Nuthologu comma
| [[286/285|Chthonisma]]
| Nuthologu
| Nuthologu
| 19u3o1og1
| 19u3o1og1
Line 1,778: 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)
|-
|-
| [[324/323|Photisma]]
| [[324/323|Photisma]]
Line 1,789: Line 2,197:
| [[343/342|Nutrisma]]
| [[343/342|Nutrisma]]
| Nutrizo
| Nutrizo
| 19uz<sup>3</sup>2
| 19u3z2
| 343/342
| 343/342
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
Line 1,797: Line 2,205:
| [[Triraptor comma]]
| [[Triraptor comma]]
| Trinuso-azogu  
| Trinuso-azogu  
| 19u<sup>3</sup>17o<sup>3</sup>zg2
| 3(19u17o)zg2
| 34391/34295
| 34391/34295
| {{Monzo|0 0 -1 1 0 0 3 -3}}
| {{Monzo|0 0 -1 1 0 0 3 -3}}
Line 1,803: Line 2,211:
| [[User:Kaiveran|Kaiveran]] (2023)
| [[User:Kaiveran|Kaiveran]] (2023)
|-
|-
| [[361/360|Go comma]]
| [[361/360|Go comma]], dudon comma
| Nonogu
| Nonogu
| 19oog2
| 19oog2
Line 1,809: 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)
| [[User:Xenwolf|Xenwolf]] (2013) for ''go comma''
|-
|-
| [[400/399|Devichroma]]
| [[400/399|Devichroma]]
Line 1,817: Line 2,225:
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
| 4.3335
| 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)
| [[User:Xenllium|Xenllium]] (2023)
|}
|}


=== Higher-limit commas ===
=== 23-limit commas ===
{| class="wikitable"
{| class="wikitable"
|-
! Name(s)
! Name(s)
! colspan="2" | [[Color name]]
! colspan="2" | [[Color name]]
! Ratio
! [[Ratio]]
! Monzo
! [[Monzo]]
! Cents
! [[Cent]]s
! Named by
! Named by
|-
|-
| [[714984/704969|Lightyear comma]]
| [[187/184]]
| Twethusolo
| 23u17o1o1
| 187/184
| 2.11.17.23 {{monzo| -3 1 1 -1 }}
| 27.999
|  
|  
|
| 714984/704969
| 2.3.31.89 {{monzo| 3 1 3 -3 }}
| 24.4214
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
|-
|-
| Classical mediant of Didymus' and Archytas' commas
| [[69/68|Large vicesimotertial 1/8-tone]]
| Twenothuluyo
| Twethosu
| 29o3u1uy1
| 23o17u1
| 145/143
| 69/68
| 5.11.13.29 {{monzo| 1 -1 -1 1 }}
| 2.3.17.23 {{monzo| -2 1 -1 1 }}
| 24.045
| 25.274
|  
|[[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[2883/2848|Lilac comma]]
| [[70/69|Small vicesimotertial 1/8-tone]]
|  
| Twethuzoyo
|  
| 23uzy1
| 2883/2848
| 70/69
| 2.3.31.89 {{monzo| -5 1 2 -1 }}
| 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }}
| 21.1460
| 24.910
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[89/88|Sky comma]]
| [[92/91|Undinisma]]
|  
| Twethothuru
|  
| 23o3ur1
| 89/88
| 92/91
| 2.11.89 {{monzo| -3 -1 1 }}
| 2.7.13.23 {{monzo| 2 -1 -1 1 }}
| 19.5622
| 18.921
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[8277/8192|Lime comma]]
| [[736/729|23-limit Tenney/Cage comma]]
|  
| Satwetho
|  
| s23o2
| 8277/8192
| 736/729
| 2.3.31.89 {{monzo| -13 1 1 1 }}
| 2.3.23 {{monzo| 5 -6 1 }}
| 17.8707
| 16.544
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[Stephen Weigel]] (2023)
|-
|-
| [[8000/7921|Incisor comma]]
| [[115/114|Yarmanisma]]
|  
| Twethonuyo
|  
| 23o19uy1
| 8000/7921
| 115/114
| 2.5.89 {{monzo| 6 3 -2 }}
| 2.3.5.19.23 {{monzo| -1 -1 1 -1 1 }}
| 17.1809
| 15.120
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[979/972|Basement comma]]
| [[161/160|Major kirnbergerisma]]
|  
| Twethozogu
|  
| 23ozg2
| 979/972
| 161/160
| 2.3.11.89 {{monzo| -2 -5 1 1 }}
| 2.5.7.23 {{monzo| -5 -1 1 1 }}
| 12.4231
| 10.787
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[481/480|Semaphorisma]]
| [[162/161|Minor kirnbergerisma]]
| Thisothogu
| Twethuru
| 37o3og2
| 23ur-2
| 481/480
| 162/161
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 2.3.7.23 {{monzo| 1 4 -1 -1 }}
| 3.6030
| 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)
|}
 
=== 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]]
|
| 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)
| [[User:Kaiveran|Kaiveran]] (2023)
|}
|}


== Notes ==
== List of irrational commas ==
<references />
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:Small commas| ]] <!-- main article -->
[[Category:Lists of commas]]
[[Category:Lists of commas]]
{{todo|complete table|add color name}}