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→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 }}
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 143: Line 145:
| [[Roda]], rodan comma
| [[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 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 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]]
| [[Enneadecacot comma]]
| Tribisa-negu
| Tribisa-negu
| s<sup>6</sup>g<sup>19</sup>8
| 6s19g8
| 562949953421312 / 557439598640741
| 562949953421312 / 557439598640741
| {{monzo|79 -22 -19}}
| {{monzo| 79 -22 -19 }}
| 17.029
| 17.029
| [[User:CompactStar|CompactStar]] (2024)
| [[User:CompactStar|CompactStar]] (2024)
Line 271: Line 281:
| [[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 279: 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 287: 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 295: 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 303: 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 311: 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 319: 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 327: 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 }}
Line 335: Line 345:
| [[Copper comma]]
| [[Copper comma]]
| Theneyo
| Theneyo
| L<sup>41</sup>y<sup>29</sup>-33
| 41L29y-33
|  
|  
| {{Monzo| -481 261 29 }}
| {{Monzo| -481 261 29 }}
Line 342: Line 352:
|-
|-
| [[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 351: 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 359: 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 365: 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 375: 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 383: 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
Line 391: Line 401:
| [[Semicomma]], Fokker's 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 }}
Line 399: Line 409:
| [[Heptacot comma]]
| [[Heptacot comma]]
| Sepsa-sepgu
| Sepsa-sepgu
| s<sup>7</sup>g<sup>7</sup>7
| 7s7g7
|  
|  
| {{Monzo| 86 -44 -7 }}
| {{Monzo| 86 -44 -7 }}
Line 407: Line 417:
| [[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 415: 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 431: 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 439: 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 447: 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 479: 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 487: 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 495: 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 503: 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 }}
Line 511: Line 529:
| [[Dipromethia]]
| [[Dipromethia]]
| Thebila-siweyo
| Thebila-siweyo
| L<sup>26</sup>y<sup>61</sup>-28
| 26L61y-28
|
|
| {{Monzo| -335 122 61 }}
| {{Monzo| -335 122 61 }}
Line 519: Line 537:
| [[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 529: 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 545: Line 563:
| [[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 }}
Line 553: Line 571:
| [[Frostburn comma]]
| [[Frostburn comma]]
| Quadru-asepyo
| Quadru-asepyo
| r<sup>4</sup>y<sup>7</sup>-4
| 4ra7y-4
| 78125 / 76832
| 78125 / 76832
| {{Monzo| -5 0 7 -4 }}
| {{Monzo| -5 0 7 -4 }}
Line 561: Line 579:
| [[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 }}
Line 569: Line 587:
| 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 585: 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 593: 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 }}
Line 609: Line 627:
| 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 617: 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 625: 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 }}
Line 633: Line 651:
| [[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 }}
| 22.227
| 22.227
| [[Francium]] (2023)
|  
|-
|-
| [[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 }}
Line 649: Line 667:
| [[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 }}
Line 657: 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 }}
Line 665: Line 683:
| [[Secanticornisma]]
| [[Secanticornisma]]
| Laruquingu
| Laruquingu
| Lrg<sup>5</sup>1
| Lr5g1
| 177147 / 175000
| 177147 / 175000
| {{Monzo| -3 11 -5 -1 }}
| {{Monzo| -3 11 -5 -1 }}
Line 673: 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 }}
Line 681: Line 699:
| [[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 689: 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 705: 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 713: 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 }}
Line 719: Line 737:
| [[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 737: 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 745: 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 753: 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 761: 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 777: 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 785: 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 793: 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 }}
Line 801: Line 819:
| [[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 809: 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 817: 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 825: 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 833: 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 }}
Line 841: Line 859:
| [[Bronzisma]]
| [[Bronzisma]]
| Satriru-agugu
| Satriru-agugu
| sr<sup>3</sup>gg1
| s3ragg1
| 2097152 / 2083725
| 2097152 / 2083725
| {{Monzo| 21 -5 -2 -3 }}
| {{Monzo| 21 -5 -2 -3 }}
Line 849: Line 867:
| 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 855: 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 865: 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 873: 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 881: 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]]
| [[Historisma]]
| Latribizogu
| Latribizogu
| Lz<sup>6</sup>g<sup>6</sup>4
| L6zg4
| 257298363 / 256000000
| 257298363 / 256000000
| {{Monzo| -14 7 -6 6 }}
| {{Monzo| -14 7 -6 6 }}
Line 897: Line 923:
| [[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 905: 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 921: 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 929: 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 }}
Line 937: Line 963:
| [[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 }}
Line 953: Line 987:
| [[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 961: 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 969: 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 977: 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 }}
Line 985: Line 1,019:
| [[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 }}
Line 1,001: Line 1,035:
| [[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 }}
Line 1,009: Line 1,043:
| [[Octaphore comma]], enneagari comma
| [[Octaphore comma]], enneagari comma
| Sasa-quadbizo
| Sasa-quadbizo
| ssz<sup>8</sup>6
| ss8z6
| 94450499584 / 94143178827
| 94450499584 / 94143178827
| {{Monzo| 14 -23 0 8 }}
| {{Monzo| 14 -23 0 8 }}
Line 1,017: Line 1,051:
| [[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 }}
Line 1,025: Line 1,059:
| [[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 1,033: 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 }}
Line 1,041: Line 1,075:
| [[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 1,049: 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 1,057: 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 1,065: 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 1,073: Line 1,107:
| [[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 1,081: 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 1,097: 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 }}
Line 1,104: Line 1,138:
|-
|-
| [[Septimal enneadeca]]
| [[Septimal enneadeca]]
|  
| Quinla-neru
|  
| 5L19r-13
| 1 570 042 899 082 081 611 640 534 563 /
| <abbr title="1570042899082081611640534563 / 1566652225014704215735402496">(56 digits)</abbr>
1 566 652 225 014 704 215 735 402 496
| {{Monzo| -37 57 0 -19 }}
| {{Monzo| -37 57 0 -19 }}
| 3.7428
| 3.7428
Line 1,114: Line 1,147:
| [[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 1,124: 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 1,140: 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 1,148: 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 }}
Line 1,156: Line 1,189:
| [[1350/1331|Large tetracot diesis]]
| [[1350/1331|Large tetracot diesis]]
| Trilu-ayoyo
| Trilu-ayoyo
| 1u<sup>3</sup>yy1
| 3(1u)yy1
| 1350 / 1331
| 1350 / 1331
| {{Monzo| 1 3 2 0 -3 }}
| {{Monzo| 1 3 2 0 -3 }}
Line 1,172: 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 }}
Line 1,180: 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 }}
Line 1,188: Line 1,221:
| [[Distarma]]
| [[Distarma]]
| Trilozo
| Trilozo
| 1o<sup>3</sup>z1
| 3(1o)z1
| 9317 / 9216
| 9317 / 9216
| {{Monzo|-10 -2 0 1 3}}
| {{Monzo|-10 -2 0 1 3}}
Line 1,196: Line 1,229:
| [[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 }}
Line 1,209: Line 1,242:
| 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]]
Line 1,220: 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 }}
Line 1,260: Line 1,301:
| [[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 }}
Line 1,292: 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 }}
Line 1,300: Line 1,341:
| [[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 1,308: 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 }}
Line 1,316: Line 1,357:
| [[117649/117128]]
| [[117649/117128]]
| Bilulutrizo-a
| Bilulutrizo-a
| 1u<sup>4</sup>z<sup>6</sup>4
| 2(1uu3z)4
| 117649 / 117128
| 117649 / 117128
| {{Monzo| -3 0 0 6 -4 }}
| {{Monzo| -3 0 0 6 -4 }}
Line 1,324: Line 1,365:
| [[Topsy comma]]
| [[Topsy comma]]
| Quadlo-atrizo-asepgu
| Quadlo-atrizo-asepgu
| 1o<sup>4</sup>z<sup>3</sup>g<sup>7</sup>3
| 4(1o)3za7g3
| 5021863 / 5000000
| 5021863 / 5000000
| {{Monzo| -6 0 -7 3 4 }}
| {{Monzo| -6 0 -7 3 4 }}
Line 1,332: Line 1,373:
| [[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 1,340: 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 1,356: 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 }}
Line 1,364: Line 1,405:
| [[Pythrabian comma]]
| [[Pythrabian comma]]
| Trisalo
| Trisalo
|  
| 3s1o
| 94489280512 /9 4143178827
| 94489280512 / 94143178827
| {{Monzo| 33 -23 0 0 1 }}
| {{Monzo| 33 -23 0 0 1 }}
| 6.3529
| 6.3529
Line 1,380: Line 1,421:
| [[Octatonic comma]], undecimal 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 }}
Line 1,396: 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 }}
Line 1,404: Line 1,445:
| [[4-cent comma]]
| [[4-cent comma]]
| Lutritryo
| Lutritryo
| 1uy<sup>9</sup>-2
| 1u9y-2
| 1953125 / 1948617
| 1953125 / 1948617
| {{Monzo| 0 -11 9 0 -1 }}
| {{Monzo| 0 -11 9 0 -1 }}
Line 1,420: Line 1,461:
| [[1375/1372|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 }}
Line 1,428: Line 1,469:
| [[Unisquarisma]], unisquary comma
| [[Unisquarisma]], unisquary comma
| Trilu-aquadzo-ayo
| Trilu-aquadzo-ayo
| 1u<sup>3</sup>z<sup>4</sup>y3
| 3(1u)4zay3
| 12005 / 11979
| 12005 / 11979
| {{Monzo| 0 -2 1 4 -3 }}
| {{Monzo| 0 -2 1 4 -3 }}
Line 1,436: Line 1,477:
| [[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 }}
Line 1,454: Line 1,495:
| [[Lovecraft comma]]
| [[Lovecraft comma]]
| Thothotrilu
| Thothotrilu
| 3oo1u<sup>3</sup>2
| 3oo3(1u)2
| 1352/1331
| 1352/1331
| {{monzo|3 0 0 0 -3 2}}
| {{monzo|3 0 0 0 -3 2}}
Line 1,470: 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 1,484: Line 1,525:
|  
|  
|-
|-
| [[343/338]]
| [[343/338|Sooty fox comma]]
| Thuthutrizo
| Thuthutrizo
| 3uuz<sup>3</sup>2
| 3uu3z2
| 343/338
| 343/338
| {{Monzo| 1 0 0 3 0 -2 }}
| {{Monzo| -1 0 0 3 0 -2 }}
| 25.422
| 25.422
|  
| [[Budjarn Lambeth]] (2024)
|-
|-
| [[Tetris comma]]
| [[Tetris comma]]
|  
| Satho
|  
| s3o2
| 6656/6561
| 6656/6561
| {{Monzo| 9 -8 0 0 0 1 }}
| {{Monzo| 9 -8 0 0 0 1 }}
| 24.888
| 24.888
| [[Godtone]] (2024)
| [[Godtone]] (2024)
|-
|-
| [[507/500]]
| [[507/500|Large semisixthma]]
| Thothotrigu
| Thothotrigu
| 3oog<sup>3</sup>2
| 3oo3g2
| 507/500
| 507/500
| {{Monzo| -2 1 -3 0 0 2 }}
| {{Monzo| -2 1 -3 0 0 2 }}
| 24.069
| 24.069
|  
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[78/77|Negustma]]
| [[78/77|Negustma]]
Line 1,518: Line 1,559:
| [[Greater tendoneutralisma]]
| [[Greater tendoneutralisma]]
| Laquadbitho
| Laquadbitho
|  
| L8(3o)2
| 815730721 / 805306368  
| 815730721 / 805306368  
| {{Monzo| -28 -1 0 0 0 8 }}
| {{Monzo| -28 -1 0 0 0 8 }}
Line 1,534: 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 1,555: Line 1,596:
| 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]]
| [[832/825]]
Line 1,598: Line 1,647:
| [[24167/24000]]
| [[24167/24000]]
| Tritho-alotrigu
| Tritho-alotrigu
| 3o<sup>3</sup>1og<sup>3</sup>2
| 3(3o)1o3g2
| 24167/24000
| 24167/24000
| {{Monzo| -6 -1 -3 0 1 3}}
| {{Monzo| -6 -1 -3 0 1 3}}
Line 1,606: Line 1,655:
| [[Lesser tendoneutralisma]]
| [[Lesser tendoneutralisma]]
| Sasa-quadtrithu
| Sasa-quadtrithu
|  
| ss12(3u)-2
| 70368744177664 / 69894255367443  
| 70368744177664 / 69894255367443  
| {{Monzo| 46 -1 0 0 0 -12 }}
| {{Monzo| 46 -1 0 0 0 -12 }}
Line 1,614: Line 1,663:
| [[Dinos comma]]
| [[Dinos comma]]
| Lathuthuquingu
| Lathuthuquingu
| L3uug<sup>5</sup>1
| L3uu5g1
| 531441/528125
| 531441/528125
| {{Monzo| 0 12 -5 0 0 -2 }}
| {{Monzo| 0 12 -5 0 0 -2 }}
Line 1,630: Line 1,679:
| [[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 1,638: 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 1,654: Line 1,703:
| [[Glacier comma]]
| [[Glacier comma]]
| Quinthu
| Quinthu
| 3u<sup>5</sup>-2
| 5(3u)-2
| 373248/371293
| 373248/371293
| {{Monzo| 9 6 0 0 0 -5 }}
| {{Monzo| 9 6 0 0 0 -5 }}
Line 1,667: 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 1,678: Line 1,735:
| [[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 1,702: Line 1,767:
| [[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]{{dead link}}
| [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 1,718: 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 1,734: Line 1,807:
| [[Valerisma]], 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 }}
Line 1,766: Line 1,839:
| [[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 1,777: 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 1,809: 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 1,833: Line 1,914:
| 23-17-comma, 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 1,871: Line 1,952:
| [[Plainsound Music Edition]] (2020)
| [[Plainsound Music Edition]] (2020)
|-
|-
| [[1452/1445]]
| [[1452/1445|Small semisixthma]]
| Susulologu
| Susulologu
| 17uu1oog-2
| 17uu1oog-2
Line 1,877: Line 1,958:
| {{Monzo| 2 1 -1 0 2 0 -2 }}
| {{Monzo| 2 1 -1 0 2 0 -2 }}
| 8.3664
| 8.3664
|  
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[Mean thirds comma]]
| [[Mean thirds comma]]
Line 1,901: Line 1,982:
| {{monzo| -11 0 0 0 2 0 1 }}
| {{monzo| -11 0 0 0 2 0 1 }}
| 7.5913
| 7.5913
| [[Dawson Berry]] (2023)
| [[Douglas Blumeyer]]
|-
|-
| [[256/255|Char comma]], charisma, <br>septendecimal kleisma
| [[256/255|Charisma]], charic comma, <br>septendecimal kleisma
| Sugu
| Sugu
| 17ug1
| 17ug1
Line 1,929: Line 2,010:
| [[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 }}
Line 1,945: Line 2,026:
| [[80-17-comma]], 17-ripple <strike>integer cents</strike> comma{{clarify}}
| [[80-17-comma]], 17-ripple <strike>integer cents</strike> comma{{clarify}}
| Lesa-quinquadquadsu
| Lesa-quinquadquadsu
| s<sup>11</sup>17u<sup>80</sup>-32
| 11s80(17u)-32
|  
|  
| {{Monzo| 327 0 0 0 0 0 -80 }}
| {{Monzo| 327 0 0 0 0 0 -80 }}
Line 1,996: Line 2,077:
| [[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 2,008: Line 2,089:
| {{Monzo| -1 6 0 0 0 0 0 -2 }}
| {{Monzo| -1 6 0 0 0 0 0 -2 }}
| 16.704
| 16.704
|[[User:Xenllium|Xenllium]] (2024)
| [[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 2,034: 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 2,043: 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 2,052: 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 2,072: 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)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[210/209|Spleen comma]]
| [[210/209|Spleen comma]]
Line 2,080: 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)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[1083/1078|Bihendrixma]]
| [[1083/1078|Bihendrixma]]
Line 2,108: 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 2,116: 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 2,128: 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 2,167: Line 2,256:
|-
|-
! Name(s)
! Name(s)
! colspan="2" | [[Color name|Color Name]]
! colspan="2" | [[Color name]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
Line 2,174: Line 2,263:
|-
|-
| [[187/184]]
| [[187/184]]
|  
| Twethusolo
|  
| 23u17o1o1
| 187/184
| 187/184
| 2.11.17.23 {{monzo| -3 1 1 -1 }}
| 2.11.17.23 {{monzo| -3 1 1 -1 }}
Line 2,195: Line 2,284:
| 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }}
| 2.3.5.7.23 {{monzo| 1 -1 1 1 -1 }}
| 24.910
| 24.910
|[[User:Xenllium|Xenllium]] (2023)
| [[User:Xenllium|Xenllium]] (2023)
|-
|-
| [[92/91|Undinisma]]
| [[92/91|Undinisma]]
Line 2,271: Line 2,360:
| 21-23-comma
| 21-23-comma
| Trisa-septritwethu
| Trisa-septritwethu
| s<sup>3</sup>23u<sup>21</sup>-8
| 3s21(23u)-8
| 281474976710656 / <br>280462473659039
| 281474976710656 / <br>280462473659039
| 2.23 {{monzo| 95 -21 }}
| 2.23 {{monzo| 95 -21 }}
Line 2,326: Line 2,415:
|}
|}


=== Higher-limit commas ===
=== 29-limit commas ===
{| class="wikitable"
{| class="wikitable"
! Name(s)
! Name(s)
Line 2,335: Line 2,424:
! Named by
! Named by
|-
|-
| [[63/62|31-limit co-archyta]]
| Classical mediant of Didymus' and Archytas' commas
| Thiwuzo
| Twenothuluyo
| 31uz2
| 63/62
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| 27.700
| [[Xenwolf]] (2020)
|-
| [[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)
|-
| Classical mediant of Didymus' and Archytas' commas
| Twenothuluyo
| 29o3u1uy1
| 29o3u1uy1
| 145/143
| 145/143
Line 2,359: Line 2,432:
|  
|  
|-
|-
| [[Holdrian comma]]
| [[88/87|Farewell comma]]
| Twenulo
| 29u1o1
| 88/87
| 2.3.11.29 {{monzo| 3 -1 1 -1 }}
| 19.786
|  
|  
|
| 53root(2)
|
| 22.642
| [[William Holder]] (1700s)
|-
|-
| [[82/81|41-limit Johnston comma]]
| [[116/115|Sironisma]]
| Fowo
| Twenotwethugu
| 41o1
| 29o23ug1
| 82/81
| 116/115
| 2.3.41 {{monzo| 1 -4 1 }}
| 2.5.23.29 {{monzo| 2 -1 -1 1 }}
| 21.242
| 14.989
| [[Stephen Weigel]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[2883/2848|Lilac comma]]
| [[117/116|Lomisma]]
|  
| Twenutho
| 89u31oo-2
| 29u3o1
| 2883/2848
| 117/116
| 2.3.31.89 {{monzo| -5 1 2 -1 }}
| 2.3.13.29 {{monzo| -2 2 1 -1 }}
| 21.146
| 14.860
| [[Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[89/88|Sky comma]]
| [[145/144|29th-partial chroma]]
|  
| Twenoyo
| 89o1u1
| 29oy1
| 89/88
| 145/144
| 2.11.89 {{monzo| -3 -1 1 }}
| 2.3.5.29 {{monzo| -4 -2 1 1 }}
| 19.562
| 11.981
| [[Budjarn Lambeth]] (2023)
| [[User:Flirora|Flirora]] (2023)
|-
|-
| [[8277/8192|Lilly pilly comma]]
| [[175/174|Major chthonovinema]]
|  
| Twenuzoyoyo
| 89o31o-2
| 29uzyy1
| 8277/8192
| 175/174
| 2.3.31.89 {{monzo| -13 1 1 1 }}
| 2.3.5.7.29 {{monzo| -1 -1 2 1 -1 }}
| 17.871
| 9.9211
| [[Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[8000/7921|Incisor comma]]
| [[204/203|Kallistisma]]
|  
| Twenusoru
| 89uuy<sup>3</sup>1
| 29u17or1
| 8000/7921
| 204/203
| 2.5.89 {{monzo| 6 3 -2 }}
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }}
| 17.181
| 8.5073
| [[Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[116/115|Sironisma]]
| [[232/231|Major paravinema]]
| Twenotwethugu
| Twenoluru
| 29o23ug1
| 29o1ur1
| 116/115
| 232/231
| 2.5.23.29 {{monzo| 2 -1 -1 1 }}
| 2.3.7.11.29 {{monzo| 3 -1 -1 -1 1 }}
| 14.989
| 7.4783
| [[User:Xenllium|Xenllium]] (2024)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[117/116|Lomisma]]
| [[Jackpot comma]]
| Twenutho
| Laseptweno
| 29u3o1
| L7(29o)1
| 117/116
| 17249876309 / 17179869184
| 2.3.13.29 {{monzo| -2 2 1 -1 }}
| 2.29 {{monzo| -34 7 }}
| 14.860
| 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)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[125/124|Twizzler]]
| [[290/289|Brunisma]]
| Thiwutriyo
| Twenosusuyo
| 31uy<sup>3</sup>1
| 29o17uuy-2
| 125/124
| 290/289
| 2.5.31 {{monzo| -2 3 -1 }}
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
| 13.906
| 5.9801
| [[Xenwolf]] (2020)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[129/128|43-limit Johnston comma]]
| [[320/319|Minor paravinema]]
| Fotho
| Twenuluyo
| 43o1
| 29u1uy1
| 129/128
| 320/319
| 2.3.43 {{monzo| -7 1 1 }}
| 2.5.11.29 {{monzo| 6 1 -1 -1 }}
| 13.473
| 5.4186
| [[Stephen Weigel]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[979/972|Basement comma]]
| [[378/377|Major semivinema]]
|  
| Twenuthuzo
| 89o1o1
| 29u3uz1
| 979/972
| 378/377
| 2.3.11.89 {{monzo| -2 -5 1 1 }}
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }}
| 12.423
| 4.5861
| [[Budjarn Lambeth]] (2023)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[145/144|29th-partial chroma]]
| [[406/405|Minor semivinema]]
| Twenoyo
| Twenozogu
| 29oy1
| 29ozg2
| 145/144
| 406/405
| 2.3.5.29 {{monzo| -4 -2 1 1 }}
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }}
| 11.981
| 4.2694
| [[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)
| [[User:Xenllium|Xenllium]] (2024)
|-
|-
| [[204/203|Kallistisma]]
| [[494/493|Minor vinetonema]]
| Twenusoru
| Twenunosutho
| 29u17or1
| 29u19o17u3o1
| 204/203
| 494/493
| 2.3.7.17.29 {{monzo| 2 1 -1 1 -1 }}
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }}
| 8.5073
| 3.5081
| [[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)
| [[User:Xenllium|Xenllium]] (2024)
|}
=== 31-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
|-
| [[Caffeinterval]]
| [[63/62|31-limit co-archyta]]
|  
| Thiwuzo
|  
| 31uz2
| 2^((7/12)-(1/sqrt(3)))
| 63/62
|
| 2.3.7.31 {{monzo| -1 2 1 -1 }}
| 7.1797
| 27.700
| [[User:R-4981|R-4981]] (2023)
| [[Xenwolf]] (2020)
|-
|-
| [[Jackpot comma]]
| [[93/92|Tricema]]
|  
| Thiwotwethu
|  
| 31o23u-2
| 17249876309 / 17179869184
| 93/92
| 2.29 {{monzo| -34 7 }}
| 2.3.23.31 {{monzo| -2 1 -1 1 }}
| 7.0404
| 18.716
| [[Eliora]] (2024)
| [[User:Xenllium|Xenllium]] (2025)
|-
|-
| [[261/260|Major vinetonema]]
| [[125/124|Twizzler]]
| Twenothugu
| Thiwutriyo
| 29o3ug1
| 31u3y1
| 261/260
| 125/124
| 2.3.5.13.29 {{monzo| -2 2 -1 -1 1 }}
| 2.5.31 {{monzo| -2 3 -1 }}
| 6.6458
| 13.906
| [[User:Xenllium|Xenllium]] (2024)
| [[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]]
| [[Junebug comma]]
Line 2,511: Line 2,634:
| [[Tristan Bay]] (2024)
| [[Tristan Bay]] (2024)
|-
|-
| [[290/289|Brunisma]]
| [[341/340|Californisma]]
| Twenosusuyo
| Thiwosulogu
| 29o17uuy-2
| 31o17u1og-2
| 290/289
| 341/340
| 2.5.17.29 {{monzo| 1 1 -2 1 }}
| 2.5.11.17.31 {{monzo| -2 -1 1 -1 1 }}
| 5.9801
| 5.0844
| [[User:Xenllium|Xenllium]] (2024)
| [[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)
|-
|-
| [[320/319|Minor paravinema]]
| [[435/434|Chinthisma]]
| Twenuluyo
| Thiwutwenoruyo
| 29u1uy1
| 31u29ory1
| 320/319
| 435/434
| 2.5.11.29 {{monzo| 6 1 -1 -1 }}
| 2.3.5.7.29.31 {{monzo| -1 1 1 -1 1 -1 }}
| 5.4186
| 3.9844
| [[User:Xenllium|Xenllium]] (2024)
| [[User:Xenllium|Xenllium]] (2025)
|-
|-
| [[Sidereal comma]]
| [[465/464|Alektisma]]
|
| Thiwotwenuyo
| 73u61og1
| 31o29uy-2
| 366/365
| 465/464
| 2.3.5.61.73 {{monzo| 1 1 -1 1 -1 }}
| 2.3.5.29.31 {{monzo| -4 1 1 -1 1 }}
| 4.7366
| 3.7271
| [[User:Frostburn|Frostburn]] (2024)
| [[User:Xenllium|Xenllium]] (2025)
|}
 
=== Higher-limit commas ===
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
|-
| [[378/377|Major semivinema]]
| [[714984/704969|Lightyear comma]]
| Twenuthuzo
|  
| 29u3uz1
| 89u<sup>3</sup>31o<sup>3</sup>-2
| 378/377
| 714984/704969
| 2.3.7.13.29 {{monzo| 1 3 1 -1 -1 }}
| 2.3.31.89 {{monzo| 3 1 3 -3 }}
| 4.5861
| 24.421
| [[User:Xenllium|Xenllium]] (2024)
| [[Budjarn Lambeth]] (2023)
|-
|-
| [[381/380|Five feet comma]]
| [[82/81|41-limit Johnston comma]]
|
| Fowo
| 127o19ug1
| 41o1
| 381/380
| 82/81
| 2.3.5.19.127 [-2 1 -1 -1 1⟩
| 2.3.41 {{monzo| 1 -4 1 }}
| 4.5499
| 21.242
| [[Eliora]] (2022)
| [[Stephen Weigel]] (2023)
|-
|-
| [[406/405|Minor semivinema]]
| [[2883/2848|Lilac comma]]
| Twenozogu
|  
| 29ozg2
| 89u31oo-2
| 406/405
| 2883/2848
| 2.3.5.7.29 {{monzo| 1 -4 -1 1 1 }}
| 2.3.31.89 {{monzo| -5 1 2 -1 }}
| 4.2694
| 21.146
| [[User:Xenllium|Xenllium]] (2024)
| [[Budjarn Lambeth]] (2023)
|-
|-
| [[481/480|Semaphorisma]]
| [[86/85|43-limit 10th-tone]], large quadracesimotertial 1/10-tone
| Thisothogu
| Fothosugu
| 37o3og2
| 43o17ug1
| 481/480
| 86/85
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 2.5.17.43 {{monzo| 1 -1 -1 1 }}
| 3.6030
| 20.249
| [[User:Kaiveran|Kaiveran]] (2023)
| [[Mister Shaf]] (2025)
|-
|-
| [[494/493|Minor vinetonema]]
| [[87/86|43-limit 10th-tone]], small quadracesimotertial 1/10-tone
| Twenunosutho
| Fothutweno
| 29u19o17u3o1
| 43u29o1
| 494/493
| 87/86
| 2.13.17.19.29 {{monzo| 1 1 -1 1 -1 }}
| 2.3.29.43 {{monzo| -1 1 1 -1 }}
| 3.5081
| 20.014
| [[User:Xenllium|Xenllium]] (2024)
|
|-
| [[89/88|Tailwind comma]]
|
| 89o1u1
| 89/88
| 2.11.89 {{monzo| -3 -1 1 }}
| 19.562
| [[Budjarn Lambeth]] (2023)
|-
| [[389/385|Rebbe comma]]
|
| 389o1urg1
| 389/385
| 5.7.11.389 {{monzo| -1 -1 -1 1 }}
| 17.8794
| [[Mister Shaf]] (2025)
|-
| [[8277/8192|Lilly pilly comma]]
|  
| 89o31o-2
| 8277/8192
| 2.3.31.89 {{monzo| -13 1 1 1 }}
| 17.871
| [[Budjarn Lambeth]] (2023)
|-
| [[8000/7921|Incisor comma]]
|
| 89uu3y1
| 8000/7921
| 2.5.89 {{monzo| 6 3 -2 }}
| 17.181
| [[Budjarn Lambeth]] (2023)
|-
| [[129/128|43-limit Johnston comma]]
| Fotho
| 43o1
| 129/128
| 2.3.43 {{monzo| -7 1 1 }}
| 13.473
| [[Stephen Weigel]] (2023)
|-
| [[979/972|Basement comma]]
|
| 89o1o1
| 979/972
| 2.3.11.89 {{monzo| -2 -5 1 1 }}
| 12.423
| [[Budjarn Lambeth]] (2023)
|-
| [[226/225|Reversed marvel comma]]
|
| 113ogg2
| 226/225
| 2.3.5.113 {{monzo| 1 -2 -2 1 }}
| 7.6773
| [[User:Xenllium|Xenllium]] (2025)
|-
| [[Sidereal comma]]
|
| 73u61og1
| 366/365
| 2.3.5.61.73 {{monzo| 1 1 -1 1 -1 }}
| 4.7366
| [[User:Frostburn|Frostburn]] (2024)
|-
| [[381/380|Five feet comma]]
|
| 127o19ug1
| 381/380
| 2.3.5.19.127 [-2 1 -1 -1 1⟩
| 4.5499
| [[Eliora]] (2022)
|-
| [[481/480|Semaphorisma]]
| Thisothogu
| 37o3og2
| 481/480
| 2.3.5.13.37 {{monzo| -5 -1 -1 1 1 }}
| 3.6030
| [[User:Kaiveran|Kaiveran]] (2023)
|}
 
== List of irrational commas ==
For intervals expressible as edosteps, see [[Interval size measure]]. We skip them here for brevity.
 
{| class="wikitable"
! Name(s)
! colspan="2" | [[Color name]]
! Ratio
! Monzo
! Cents
! Named by
|-
| [[Caffeinterval]]
|
|
| 2<sup>((7/12) - (1/sqrt(3)))</sup>
|
| 7.1797
| [[User:R-4981|R-4981]] (2023)
|}
|}


== Notes ==
== See also ==
<references />
* [[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}}
{{todo|complete table|add color name}}
Retrieved from "https://en.xen.wiki/w/Small_comma"