Xenharmonic Wiki

Small comma: Difference between revisions

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→13-limit commas: comma name revised by who avvocated
→7-limit commas: 1500625/1492992 is simply the 7-limit comma of uniwiz
 
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Line 1: Line 1:
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 44: 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 84: 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 95: 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 103: 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 111: 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 119: 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 127: 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 }}
Line 135: Line 137:
| [[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 141: 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 }}
Line 159: Line 169:
| [[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 167: Line 177:
| [[Neuk comma]]
| [[Neuk comma]]
| Trisa-yoyo
| Trisa-yoyo
| s<sup>3</sup>yy3
| 3syy3
| 858993459200 / 847288609443
| 858993459200 / 847288609443
| {{Monzo| 35 -25 2 }}
| {{Monzo| 35 -25 2 }}
Line 175: 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 }}
Line 183: Line 193:
| [[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 191: 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
Line 200: Line 210:
| Gu
| Gu
| g1
| g1
| [[81/80]]
| 81 / 80
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| 21.506
| 21.506
Line 207: 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 }}
Line 215: Line 225:
| [[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 }}
Line 224: Line 234:
| Sagugu
| Sagugu
| sgg2
| sgg2
| 2048/2025
| 2048 / 2025
| {{Monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
| 19.553
| 19.553
Line 231: 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 }}
Line 239: Line 249:
| [[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 }}
Line 247: Line 257:
| [[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 253: 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
| [[Petr Pařízek]] (2012)
| 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
Line 271: Line 289:
| [[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 }}
Line 279: Line 297:
| [[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 }}
Line 287: Line 305:
| [[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
Line 295: Line 313:
| [[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 303: 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
Line 311: Line 329:
| [[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
Line 319: Line 337:
| [[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]]
| [[Counterwürschmidt comma]]
|  
| Trisa-twethegu
|  
| 3s23g7
|  
| <abbr title="36028797018963968 / 35762786865234375">(34 digits)</abbr>
| {{Monzo| 55 -1 -23 }}
| {{Monzo| 55 -1 -23 }}
| 12.830
| 12.830
Line 335: Line 361:
| [[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 }}
Line 343: Line 369:
| [[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 349: 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 359: 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
Line 367: Line 393:
| [[Countritonic 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 391: 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 }}
Line 407: Line 441:
| 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 415: 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 423: 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
| [[Petr Pařízek]] (2011)
| [[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 455: 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
Line 463: Line 505:
| 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 471: 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 479: 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 }}
Line 497: 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 511: Line 561:
| [[User:Xenllium|Xenllium]] (2022)
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[No-fives subgroup temperaments|Doublehearted comma]]
| [[Doublehearted comma]]
| Quadbizo
| Quadbizo
| z<sup>8</sup>5
| 8z5
| 5764801 / 5668704
| 5764801 / 5668704
| {{Monzo| -5 -11 0 8 }}
| {{Monzo| -5 -11 0 8 }}
| 29.102
| 29.102
| [[User:Xenllium|Xenllium]] (2023)
| [[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 545: 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 553: 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 569: 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 577: 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 593: 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 609: 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 625: 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 641: 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 657: 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 665: 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 689: 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 697: 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 705: 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 713: 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 729: 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 737: 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 745: 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 761: 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 769: 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 777: 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 785: 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 799: 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 809: 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 817: 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 825: 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 841: 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 857: 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 865: 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 897: 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 905: 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 913: 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 933: 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 961: 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
| sz<sup>9</sup>g<sup>14</sup>8
| s9za14g8
| 165288374272 / 164794921875
| 165288374272 / 164794921875
| {{Monzo| 12 -3 -14 9 }}
| {{Monzo| 12 -3 -14 9 }}
Line 977: 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 985: 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 993: 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 }}
Line 999: Line 1,105:
| [[User:Xenllium|Xenllium]] (2021)
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[No-fives subgroup temperaments|Hearts comma]]
| [[Hearts comma]]
| Trila-quadzo
| Trila-quadzo
| L<sup>3</sup>z<sup>4</sup>1
| 3L4z1
| 34451725707 / 34359738368
| 34451725707 / 34359738368
| {{Monzo| -35 15 0 4 }}
| {{Monzo| -35 15 0 4 }}
Line 1,009: Line 1,115:
| [[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 1,025: 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 1,043: 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 1,059: 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 }}
Line 1,067: Line 1,181:
| [[625/616|Quadrikite comma]]
| [[625/616|Quadrikite comma]]
| Luruquadyo
| Luruquadyo
| 1ury<sup>4</sup>-2
| 1ur4y-2
| 625/616
| 625 / 616
| {{Monzo| -3 0 4 -1 -1 }}
| {{Monzo| -3 0 4 -1 -1 }}
| 25.111
| 25.111
| [[Praveen Venkataramana]], [[Lumi Pakkanen]] (2022)
| [[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 1,083: 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 1,091: 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 1,108: 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 1,123: 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 1,135: 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 1,148: 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 1,172: 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 1,179: 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 1,195: 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 1,211: 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 1,220: 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 1,227: 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 1,241: 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 1,259: 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 1,298: 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 1,309: 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 1,322: 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 1,330: 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 1,341: 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 1,347: 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 1,363: Line 1,597:
|  
|  
|-
|-
| [[Secorian comma]]
| [[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 comma]]
| Sathuzo
| Sathuzo
| s3uz2
| s3uz2
Line 1,394: 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 1,401: 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 1,413: 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 1,426: 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 1,434: 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 1,441: 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
| Tritho-aruquadgu
| 3o<sup>3</sup>rg<sup>4</sup>2
| 3(3o)r4g2
| 4394/4375
| 4394/4375
| {{Monzo| 1 0 -4 -1 0 3 }}
| {{Monzo| 1 0 -4 -1 0 3 }}
Line 1,467: Line 1,765:
| [[Gene Ward Smith]] (2011)
| [[Gene Ward Smith]] (2011)
|-
|-
|[[30E comma|2D9 comma]]
| [[30E comma|2D9 comma]]
|Thotriyo
| Thotriyo
|3oy<sup>3</sup>7
| 3o3y7
|131625/131072
| 131625/131072
|{{Monzo|-17 4 3 0 0 1}}
| {{Monzo|-17 4 3 0 0 1}}
|7.2888
| 7.2888
|[https://twitter.com/Regret_March/status/1709762093749252209 Figreflekt] (2023) but [https://twitter.com/Figreflekt/status/1710195052520337680 revised later]
| [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
| Thoquadzo
| 3oz<sup>4</sup>3
| 3o4z3
| 31213/31104
| 31213/31104
| {{Monzo| -7 -5 0 4 0 1 }}
| {{Monzo| -7 -5 0 4 0 1 }}
Line 1,485: 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 1,499: 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 1,515: Line 1,821:
|  
|  
|-
|-
| [[352/351|Minthma]], 11/13-kleisma
| [[352/351|Major minthma, major gentle comma]], 11/13-kleisma
| Thulo
| Thulo
| 3u1o1
| 3u1o1
Line 1,521: 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 1,529: 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 1,544: Line 1,850:
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
! colspan="2" | [[Color notation/Temperament Names|Color Name]]
! colspan="2" | [[Color notation/Temperament names|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
! Named by
! Named by
|-
| [[2048/2023]]
| Susuru
| 17uur-2
| 2048/2023
| {{Monzo| 11 0 0 -1 0 0 -2 }}
| 21.263
|
|-
|-
| [[85/84|Monk comma]]
| [[85/84|Monk comma]]
Line 1,568: 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 1,580: 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 1,590: 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 1,598: Line 1,920:
|  
|  
|-
|-
| [[136/135|Diatonisma]], septendecimal semicomma
| [[136/135|Diatisma]], diatic comma, <br>fiventeen comma, septendecimal semicomma
| Sogu
| Sogu
| 17og2
| 17og2
Line 1,604: Line 1,926:
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| 12.777
| 12.777
| [[User:Xenllium|Xenllium]] (2023, for ''diatonisma'')
| See the page.
|-
|-
| [[154/153|Augustma]]
| [[154/153|Augustma]]
Line 1,629: 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 1,652: 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|Diasemisma]], septendecimal kleisma
| [[256/255|Charisma]], charic comma, <br>septendecimal kleisma
| Sugu
| Sugu
| 17ug1
| 17ug1
Line 1,660: Line 1,990:
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| 6.7759
| 6.7759
| [[User:Xenllium|Xenllium]] (2023, for ''diasemisma'')
| See the page.
|-
|-
| [[273/272|Tannisma, prototannisma]]
| [[273/272|Tannisma, prototannisma]]
Line 1,668: Line 1,998:
| {{Monzo| -4 1 0 1 0 1 -1}}
| {{Monzo| -4 1 0 1 0 1 -1}}
| 6.3532
| 6.3532
| [[Scott Dakota]] (2017) for ''tannisma''<br>[[Flora Canou]] (2023) for ''prototannisma''
| [[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 1,676: 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 1,694: 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''
|-
|}
| Centisma
|
|
|
| 2.3.17 {{Monzo|-1001 -400 400}}
| 0.16345401
| CompactStar (2023)
|}


=== 19-limit commas ===
=== 19-limit commas ===
Line 1,721: Line 2,043:
! Named by
! Named by
|-
|-
| Nuruyo comma
| 135/133
| Nuruyo
| Nuruyo
| 19ury-2
| 19ury-2
Line 1,729: Line 2,051:
|  
|  
|-
|-
| Nogugu 2nd
| [[76/75|Large undevicesimal 1/9-tone]]
| Nogugu
| Nogugu
| 19ogg2
| 19ogg2
Line 1,735: 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 1,743: 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 1,751: 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 }}
| 17.353
| 17.353
|  
|  
|-
| [[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]]
| [[133/132|Minithirdma]]
Line 1,785: 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 1,794: 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 1,803: Line 2,141:
| [[363/361|Godzillisma]]
| [[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 }}
Line 1,823: 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 1,831: 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]]
| [[1083/1078|Bihendrixma]]
Line 1,859: 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 1,867: 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 1,879: Line 2,217:
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
| 4.8023
| 4.8023
| [[User:Xenwolf|Xenwolf]] (2013, for ''go'' comma)
| [[User:Xenwolf|Xenwolf]] (2013) for ''go comma''
|-
|-
| [[400/399|Devichroma]]
| [[400/399|Devichroma]]
Line 1,918: Line 2,256:
|-
|-
! Name(s)
! Name(s)
! colspan="2" | [[Color name|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 1,924: Line 2,262:
! Named by
! Named by
|-
|-
| [[736/729|Vicesimotertial comma]]
| [[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
| Satwetho
| s23o2
| s23o2
Line 1,930: Line 2,300:
| 2.3.23 {{monzo| 5 -6 1 }}
| 2.3.23 {{monzo| 5 -6 1 }}
| 16.544
| 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]]
| [[161/160|Major kirnbergerisma]]
Line 1,947: Line 2,325:
| 10.720
| 10.720
| [[User:Xenllium|Xenllium]] (2023)
| [[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)
|}


=== Higher-limit commas ===
=== 29-limit commas ===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 1,957: Line 2,423:
! Cents
! Cents
! Named by
! Named by
|-
| [[714984/704969|Lightyear comma]]
|
|
| 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
| Classical mediant of Didymus' and Archytas' commas
Line 1,974: Line 2,432:
|  
|  
|-
|-
| [[2883/2848|Lilac comma]]
| [[88/87|Farewell comma]]
| Twenulo
| 29u1o1
| 88/87
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| 19.786
|  
|  
|
| 2883/2848
| 2.3.31.89 {{monzo| -5 1 2 -1 }}
| 21.1460
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
|-
|-
| [[89/88|Sky comma]]
| [[116/115|Sironisma]]
|  
| Twenotwethugu
|  
| 29o23ug1
| 89/88
| 116/115
| 2.11.89 {{monzo| -3 -1 1 }}
| 2.5.23.29 {{monzo| 2 -1 -1 1 }}
| 19.5622
| 14.989
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[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)
|-
|-
| [[8277/8192|Lime comma]]
| [[232/231|Major paravinema]]
|  
| Twenoluru
|  
| 29o1ur1
| 8277/8192
| 232/231
| 2.3.31.89 {{monzo| -13 1 1 1 }}
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }}
| 17.8707
| 7.4783
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[8000/7921|Incisor comma]]
| [[Jackpot comma]]
|  
| Laseptweno
|  
| L7(29o)1
| 8000/7921
| 17249876309 / 17179869184
| 2.5.89 {{monzo| 6 3 -2 }}
| 2.29 {{monzo| -34 7 }}
| 17.1809
| 7.0404
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[Eliora]] (2024)
|-
|-
| [[979/972|Basement comma]]
| [[261/260|Major vinetonema]]
|  
| Twenothugu
|  
| 29o3ug1
| 979/972
| 261/260
| 2.3.11.89 {{monzo| -2 -5 1 1 }}
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }}
| 12.4231
| 6.6458
| [[User:BudjarnLambeth|Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[481/480|Semaphorisma]]
| [[290/289|Brunisma]]
| Thisothogu
| Twenosusuyo
| 37o3og2
| 29o17uuy-2
| 481/480
| 290/289
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
| 3.6030
| 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}}
Retrieved from "https://en.xen.wiki/w/Small_comma"