Small comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Kaiveran (talk | contribs)
new comma + subgroup monzos for higher-limit commas
+person and year of naming (1/2)
Line 15: Line 15:
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Denomination
|-
|-
| 241-comma
| 241-comma
Line 20: Line 21:
| w-241
| w-241
|
|
| {{monzo| 382 -241 }}
| {{Monzo| 382 -241 }}
| 28.845
| 28.845
|
|-
|-
| 65-comma, <br>Pythagorean septimal comma
| 65-comma, <br>Pythagorean septimal comma
Line 27: Line 29:
| w-65
| w-65
|
|
| {{monzo| -103 65 }}
| {{Monzo| -103 65 }}
| 27.075
| 27.075
|-
|-
Line 34: Line 36:
| LLw-2
| LLw-2
| 531441 / 524288
| 531441 / 524288
| {{monzo| -19 12 }}
| {{Monzo| -19 12 }}
| 23.460
| 23.460
|
|-
|-
| [[41-comma]], Pythagorean countercomma, <br>countercomp comma
| [[41-comma]], Pythagorean countercomma, <br>countercomp comma
Line 41: Line 44:
| w-41
| w-41
| 36893488147419103232 /<br>36472996377170786403
| 36893488147419103232 /<br>36472996377170786403
| {{monzo| 65 -41 }}
| {{Monzo| 65 -41 }}
| 19.845
| 19.845
| [[Flora Canou]] (2022)
|-
|-
| 94-comma, [[Stearnsmic clan #Garistearn|garistearn comma]]
| [[94-comma]], garistearn comma
| Wa-94
| Wa-94
| w-94
| w-94
|
|
| {{monzo| 149 -94 }}
| {{Monzo| 149 -94 }}
| 16.230
| 16.230
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 147-comma
| 147-comma
Line 55: Line 60:
| w-147
| w-147
|
|
| {{monzo| 233 -147 }}
| {{Monzo| 233 -147 }}
| 12.615
| 12.615
|
|-
|-
| 200-comma, <br>Pythagorean integer-cent ET comma
| 200-comma, <br>Pythagorean integer-cent ET comma
Line 62: Line 68:
| w-200
| w-200
|
|
| {{monzo| 317 -200 }}
| {{Monzo| 317 -200 }}
| 8.9998
| 8.9998
|
|-
|-
| 253-comma
| 253-comma
Line 69: Line 76:
| w-253
| w-253
|
|
| {{monzo| 401 -253 }}
| {{Monzo| 401 -253 }}
| 5.3848
| 5.3848
|
|-
|-
| [[Mercator's comma]], 53-comma
| [[Mercator's comma]], 53-comma
Line 76: Line 84:
| w-53
| w-53
| 19383245667680019896796723 /<br>19342813113834066795298816
| 19383245667680019896796723 /<br>19342813113834066795298816
| {{monzo| -84 53 }}
| {{Monzo| -84 53 }}
| 3.6150
| 3.6150
|
|}
|}


Line 89: Line 98:
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Denomination
|-
|-
| small diesis, [[magic comma]]
| [[Magic comma]], small diesis
| Laquinyo
| Laquinyo
| Ly<sup>5</sup>-2
| Ly<sup>5</sup>-2
| 3125/3072
| 3125/3072
| {{monzo| -10 -1 5 }}
| {{Monzo| -10 -1 5 }}
| 29.614
| 29.614
|
|-
|-
| 11-15-comma, hendecatonic comma
| [[Hendecatonic comma]]
| Trisa-legu
| Trisa-legu
| s<sup>3</sup>g<sup>11</sup>5
| s<sup>3</sup>g<sup>11</sup>5
| 8796093022208 / 8649755859375
| 8796093022208 / 8649755859375
| {{monzo| 43 -11 -11 }}
| {{Monzo| 43 -11 -11 }}
| 29.044
| 29.044
|
|-
|-
| minimal diesis, [[tetracot comma]]
| [[Tetracot comma]], minimal diesis
| Saquadyo
| Saquadyo
| sy<sup>4</sup>1
| sy<sup>4</sup>1
| 20000 / 19683
| 20000 / 19683
| {{monzo| 5 -9 4 }}
| {{Monzo| 5 -9 4 }}
| 27.660
| 27.660
|
|-
|-
| semaja
| [[Semaja comma]]
| Lalaneyo
| Lalaneyo
| LLy<sup>19</sup>-5
| LLy<sup>19</sup>-5
| 19073486328125 / 18786186952704
| 19073486328125 / 18786186952704
| {{monzo| -33 -7 19 }}
| {{Monzo| -33 -7 19 }}
| 26.276
| 26.276
|
|-
|-
| quanic comma
| [[Quanic comma]]
| Sepsa-quinyo
| Sepsa-quinyo
| s<sup>7</sup>y<sup>5</sup>5
| s<sup>7</sup>y<sup>5</sup>5
|  
|  
| {{monzo| 74 -54 5 }}
| {{Monzo| 74 -54 5 }}
| 25.999
| 25.999
|
|-
|-
| roda
| [[Roda]]
| Sasa-triyo
| Sasa-triyo
| ssy<sup>3</sup>2
| ssy<sup>3</sup>2
| 131072000 / 129140163
| 131072000 / 129140163
| {{monzo| 20 -17 3 }}
| {{Monzo| 20 -17 3 }}
| 25.706
| 25.706
|
|-
|-
| [[Trisedodge family|trisedodge comma]]
| [[Trisedodge comma]]
| Saquintrigu
| Saquintrigu
| sg<sup>15</sup>4
| sg<sup>15</sup>4
| 30958682112 / 30517578125
| 30958682112 / 30517578125
| {{monzo| 19 10 -15 }}
| {{Monzo| 19 10 -15 }}
| 24.844
| 24.844
|
|-
|-
| Birds comma
| [[Birds comma]]
| Quadsa-thiwegu
| Quadsa-thiwegu
| s<sup>4</sup>g<sup>31</sup>9
| s<sup>4</sup>g<sup>31</sup>9
|
|
| {{monzo| 72 0 -31 }}
| {{Monzo| 72 0 -31 }}
| 24.275
| 24.275
|
|-
|-
| [[Maja family|maja]]
| [[Maja comma]]
| Saseyo
| Saseyo
| sy<sup>17</sup>-3
| sy<sup>17</sup>-3
| 762939453125 / 753145430616
| 762939453125 / 753145430616
| {{monzo| -3 -23 17 }}
| {{Monzo| -3 -23 17 }}
| 22.368
| 22.368
|
|-
|-
| [[Garischismic temperaments|satin comma]]
| [[Satin comma]]
| Quinbisa-triyo
| Quinbisa-triyo
| s<sup>10</sup>y<sup>3</sup>7
| s<sup>10</sup>y<sup>3</sup>7
|  
|  
| {{monzo| 104 -70 3 }}
| {{Monzo| 104 -70 3 }}
| 22.091
| 22.091
|
|-
|-
| misneb
| [[Misneb comma]]
| Quadla-quintriyo
| Quadla-quintriyo
| L<sup>4</sup>y<sup>15</sup>-6
| L<sup>4</sup>y<sup>15</sup>-6
|  
|  
| {{monzo| -57 14 15 }}
| {{Monzo| -57 14 15 }}
| 22.076
| 22.076
|
|-
|-
| syntonic / Didymus / meantone comma
| [[Syntonic comma]], Didymus comma, meantone comma
| Gu
| Gu
| g1
| g1
| [[81/80]]
| [[81/80]]
| {{monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| 21.506
| 21.506
|
|-
|-
| [[maquila comma]]
| [[Maquila comma]]
| Trisa-segu
| Trisa-segu
| s<sup>3</sup>g<sup>17</sup>6
| s<sup>3</sup>g<sup>17</sup>6
| 562949953421312 / 556182861328125
| 562949953421312 / 556182861328125
| {{monzo| 49 -6 -17 }}
| {{Monzo| 49 -6 -17 }}
| 20.937
| 20.937
|
|-
|-
| sfourth comma
| [[Sfourth comma]]
| Lala-negu
| Lala-negu
| LLg<sup>19</sup>3
| LLg<sup>19</sup>3
| 617673396283947 / 610351562500000
| 617673396283947 / 610351562500000
| {{monzo| -5 31 -19 }}
| {{Monzo| -5 31 -19 }}
| 20.644
| 20.644
|
|-
|-
| [[diaschisma]]
| [[Diaschisma]]
| Sagugu
| Sagugu
| sgg2
| sgg2
| 2048/2025
| 2048/2025
| {{monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
| 19.553
| 19.553
|
|-
|-
| [[countermeantone comma]]
| [[Countermeantone comma]]
| Quinquadgu
| Quinquadgu
| g<sup>20</sup>4
| g<sup>20</sup>4
| 96402615118848 / 95367431640625
| 96402615118848 / 95367431640625
| {{monzo| 10 23 -20 }}
| {{Monzo| 10 23 -20 }}
| 18.691
| 18.691
|
|-
|-
| ditonma
| [[Ditonma]]
| Lala-theyo
| Lala-theyo
| LLy<sup>13</sup>-4
| LLy<sup>13</sup>-4
| 1220703125 / 1207959552
| 1220703125 / 1207959552
| {{monzo| -27 -2 13 }}
| {{Monzo| -27 -2 13 }}
| 18.168
| 18.168
|
|-
|-
| [[misty comma]]
| [[Misty comma]]
| Sasa-trigu
| Sasa-trigu
| ssg<sup>3</sup>3
| ssg<sup>3</sup>3
| 67108864 / 66430125
| 67108864 / 66430125
| {{monzo| 26 -12 -3 }}
| {{Monzo| 26 -12 -3 }}
| 17.599
| 17.599
|
|-
|-
| [[Pental family|pental comma]]
| [[Pental comma]]
| Trila-quingu
| Trila-quingu
| L<sup>3</sup>g<sup>5</sup>-2
| L<sup>3</sup>g<sup>5</sup>-2
| 847288609443 / 838860800000
| 847288609443 / 838860800000
| {{monzo| -28 25 -5 }}
| {{Monzo| -28 25 -5 }}
| 17.306
| 17.306
|
|-
|-
| [[oquatonic comma]]
| [[Oquatonic comma]]
| Quadla-sepquadyo
| Quadla-sepquadyo
| L<sup>4</sup>y<sup>28</sup>-8
| L<sup>4</sup>y<sup>28</sup>-8
|  
|  
| {{monzo| -65 0 28 }}
| {{Monzo| -65 0 28 }}
| 16.784
| 16.784
|
|-
|-
| undim comma
| [[Undim comma]]
| Trisa-quadgu
| Trisa-quadgu
| s<sup>3</sup>g<sup>4</sup>4
| s<sup>3</sup>g<sup>4</sup>4
| 2199023255552 / 2179240250625
| 2199023255552 / 2179240250625
| {{monzo| 41 -20 -4 }}
| {{Monzo| 41 -20 -4 }}
| 15.645
| 15.645
|
|-
|-
| [[graviton]], [[Gravity family|gravity]] comma
| [[Graviton]], gravity comma
| Lala-tribigu
| Lala-tribigu
| LLg<sup>6</sup>1
| LLg<sup>6</sup>1
| 129140163 / 128000000
| 129140163 / 128000000
| {{monzo| -13 17 -6 }}
| {{Monzo| -13 17 -6 }}
| 15.353
| 15.353
|
|-
|-
| majvam
| [[Majvam comma]]
| Sasa-lebigu
| Sasa-lebigu
| ssg<sup>22</sup>6
| ssg<sup>22</sup>6
|  
|  
| {{monzo| 40 7 -22 }}
| {{Monzo| 40 7 -22 }}
| 14.783
| 14.783
|
|-
|-
| quartonic
| [[Quartonic comma]]
| Saleyo
| Saleyo
| sy<sup>11</sup>-2
| sy<sup>11</sup>-2
| 390625000 / 387420489
| 390625000 / 387420489
| {{monzo| 3 -18 11 }}
| {{Monzo| 3 -18 11 }}
| 14.261
| 14.261
|
|-
|-
| untritonic comma
| [[Untritonic comma]]
| Quadla-tritriyo
| Quadla-tritriyo
| L<sup>4</sup>y<sup>9</sup>-5
| L<sup>4</sup>y<sup>9</sup>-5
|  
|  
| {{monzo| -51 19 9 }}
| {{Monzo| -51 19 9 }}
| 13.968
| 13.968
|
|-
|-
| [[Quindromeda family|quindromeda]]
| [[Quindromeda comma]]
| Quinsa-quingu
| Quinsa-quingu
| s<sup>5</sup>g<sup>5</sup>5
| s<sup>5</sup>g<sup>5</sup>5
|  
|  
| {{monzo| 56 -28 -5 }}
| {{Monzo| 56 -28 -5 }}
| 13.691
| 13.691
|
|-
|-
| medium semicomma, [[sensipent comma]]
| [[Sensipent comma]], medium semicomma
| Sepgu
| Sepgu
| g<sup>7</sup>2
| g<sup>7</sup>2
| 78732 / 78125
| 78732 / 78125
| {{monzo| 2 9 -7 }}
| {{Monzo| 2 9 -7 }}
| 13.399
| 13.399
|-
|-
| [[tertiosec comma]]
| [[Tertiosec comma]]
| Laquadtribiyo
| Laquadtribiyo
| L<sup>6</sup>y<sup>24</sup>-9
| L<sup>6</sup>y<sup>24</sup>-9
|  
|  
| {{monzo| -89 21 24 }}
| {{Monzo| -89 21 24 }}
| 12.584
| 12.584
|
|-
|-
| [[Würschmidt comma]]
| [[Würschmidt comma]]
Line 290: Line 327:
| sg<sup>8</sup>3
| sg<sup>8</sup>3
| 393216 / 390625
| 393216 / 390625
| {{monzo| 17 1 -8 }}
| {{Monzo| 17 1 -8 }}
| 11.445
| 11.445
|
|-
|-
| [[commatic comma]]
| [[Commatic comma]]
| Quadla-quinbigu
| Quadla-quinbigu
| L<sup>4</sup>g<sup>10</sup>-2
| L<sup>4</sup>g<sup>10</sup>-2
|  
|  
| {{monzo| -37 38 -10 }}
| {{Monzo| -37 38 -10 }}
| 11.153
| 11.153
|
|-
|-
| [[counterhanson comma]]
| [[Counterhanson comma]]
| Quinquinyo
| Quinquinyo
| y<sup>25</sup>-5
| y<sup>25</sup>-5
|  
|  
| {{monzo| -20 -24 25 }}
| {{Monzo| -20 -24 25 }}
| 10.923
| 10.923
|
|-
|-
| [[countriton comma]]
| [[Countriton comma]]
| Quadsa-tritriyo
| Quadsa-tritriyo
| s<sup>4</sup>y<sup>9</sup>2
| s<sup>4</sup>y<sup>9</sup>2
| 16777216000000000 / 16677181699666569
| 16777216000000000 / 16677181699666569
| {{monzo| 33 -34 9 }}
| {{Monzo| 33 -34 9 }}
| 10.353
| 10.353
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[semicomma]], Fokker comma
| [[Semicomma]], Fokker comma
| Lasepyo
| Lasepyo
| Ly<sup>7</sup>-3
| Ly<sup>7</sup>-3
| 2109375 / 2097152
| 2109375 / 2097152
| {{monzo| -21 3 7 }}
| {{Monzo| -21 3 7 }}
| 10.061
| 10.061
|
|-
|-
| [[escapade comma]]
| [[Escapade comma]]
| Sasa-tritrigu
| Sasa-tritrigu
| ssg<sup>9</sup>4
| ssg<sup>9</sup>4
| 4294967296 / 4271484375
| 4294967296 / 4271484375
| {{monzo| 32 -7 -9 }}
| {{Monzo| 32 -7 -9 }}
| 9.4916
| 9.4916
|
|-
|-
| [[kleisma]], semicomma majeur
| [[Kleisma]], semicomma majeur
| Tribiyo
| Tribiyo
| y<sup>6</sup>-2
| y<sup>6</sup>-2
| 15625 / 15552
| 15625 / 15552
| {{monzo| -6 -5 6 }}
| {{Monzo| -6 -5 6 }}
| 8.1073
| 8.1073
|
|-
|-
| [[Qintosec family|qintosec comma]]
| [[Qintosec comma]]
| Quadsa-quinbigu
| Quadsa-quinbigu
| s<sup>4</sup>g<sup>10</sup>5
| s<sup>4</sup>g<sup>10</sup>5
| 140737488355328 / 140126044921875
| 140737488355328 / 140126044921875
| {{monzo| 47 -15 -10 }}
| {{Monzo| 47 -15 -10 }}
| 7.5378
| 7.5378
|
|-
|-
| 59-5-comma
| 59-5-comma
Line 346: Line 391:
| s<sup>8</sup>g<sup>59</sup>16
| s<sup>8</sup>g<sup>59</sup>16
|  
|  
| {{monzo| 137 0 -59 }}
| {{Monzo| 137 0 -59 }}
| 7.4909
| 7.4909
|
|-
|-
| unidecma
| [[Unidecma]]
| Laquadtrigu
| Laquadtrigu
| Lg<sup>12</sup>2
| Lg<sup>12</sup>2
| 31381059609 / 31250000000
| 31381059609 / 31250000000
| {{monzo| -7 22 -12 }}
| {{Monzo| -7 22 -12 }}
| 7.2455
| 7.2455
|
|-
|-
| [[mutt comma]]
| [[Mutt comma]]
| Trila-septriyo
| Trila-septriyo
| L<sup>3</sup>y<sup>21</sup>-6
| L<sup>3</sup>y<sup>21</sup>-6
| 476837158203125 / 474989023199232
| 476837158203125 / 474989023199232
| {{monzo| -44 -3 21 }}
| {{Monzo| -44 -3 21 }}
| 6.7230
| 6.7230
|
|-
|-
| [[amity comma]]
| [[Amity comma]]
| Saquinyo
| Saquinyo
| sy<sup>5</sup>1
| sy<sup>5</sup>1
| 1600000 / 1594323
| 1600000 / 1594323
| {{monzo| 9 -13 5 }}
| {{Monzo| 9 -13 5 }}
| 6.1536
| 6.1536
|
|-
|-
| [[parakleisma]]
| [[Parakleisma]]
| Thegu
| Thegu
| g<sup>13</sup>3
| g<sup>13</sup>3
| 1224440064 / 1220703125
| 1224440064 / 1220703125
| {{monzo| 8 14 -13 }}
| {{Monzo| 8 14 -13 }}
| 5.2917
| 5.2917
|
|-
|-
| gammic comma
| [[Gammic comma]]
| Laquinquadyo
| Laquinquadyo
| Ly<sup>20</sup>-5
| Ly<sup>20</sup>-5
| 95367431640625 / 95105071448064
| 95367431640625 / 95105071448064
| {{monzo| -29 -11 20 }}
| {{Monzo| -29 -11 20 }}
| 4.7693
| 4.7693
|
|-
|-
| [[squarschmidt comma]]
| [[Squarschmidt comma]]
| Quadsa-twenegu
| Quadsa-twenegu
| s<sup>4</sup>g<sup>29</sup>8
| s<sup>4</sup>g<sup>29</sup>8
|  
|  
| {{monzo| 61 4 -29 }}
| {{Monzo| 61 4 -29 }}
| 4.7223
| 4.7223
|
|-
|-
| Huntian 15-cycle comma
| Huntian 15-cycle comma
Line 395: Line 447:
| s<sup>12</sup>g<sup>43</sup>16
| s<sup>12</sup>g<sup>43</sup>16
|  
|  
| {{monzo| 168 -43 -43 }}
| {{Monzo| 168 -43 -43 }}
| 4.4453
| 4.4453
|
|-
|-
| 56-syntonic comma
| [[Barium comma]]
| Quadtribila-sepquadbigu
| Quadtribila-sepquadbigu
| L<sup>24</sup>g<sup>56</sup>-8
| L<sup>24</sup>g<sup>56</sup>-8
|  
|  
| {{monzo| -225 224 -56 }}
| {{Monzo| -225 224 -56 }}
| 4.3522
| 4.3522
| [[Eliora]] (2023)
|-
|-
| [[vulture comma]]
| [[Vulture comma]]
| Sasa-quadyo
| Sasa-quadyo
| ssy<sup>4</sup>2
| ssy<sup>4</sup>2
| 10485760000 / 10460353203
| 10485760000 / 10460353203
| {{monzo| 24 -21 4 }}
| {{Monzo| 24 -21 4 }}
| 4.1998
| 4.1998
|
|-
|-
| [[lafa comma]]
| [[Lafa comma]]
| Tribisa-quadtrigu
| Tribisa-quadtrigu
| s<sup>6</sup>g<sup>12</sup>7
| s<sup>6</sup>g<sup>12</sup>7
|
|
| {{monzo| 77 -31 -12 }}
| {{Monzo| 77 -31 -12 }}
| 3.6304
| 3.6304
|
|}
|}


Line 427: Line 483:
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! Denomination
|-
|-
| [[3645/3584|schismean]]
| [[3645/3584|Schismean comma]]
| Laruyo
| Laruyo
| Lry-2
| Lry-2
| 3645 / 3584
| 3645 / 3584
| {{monzo| -9 6 1 -1 }}
| {{Monzo| -9 6 1 -1 }}
| 29.218
| 29.218
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[686/675|senga]]
| [[686/675|Senga]]
| Trizo-agugu
| Trizo-agugu
| z<sup>3</sup>gg3
| z<sup>3</sup>gg3
| 686 / 675
| 686 / 675
| {{monzo| 1 -3 -2 3 }}
| {{Monzo| 1 -3 -2 3 }}
| 27.985
| 27.985
|
|-
|-
| 23-21-comma
| 23-21-comma
Line 446: Line 505:
| L<sup>7</sup>z<sup>23</sup>7
| L<sup>7</sup>z<sup>23</sup>7
|  
|  
| {{monzo| -101 23 0 23 }}
| {{Monzo| -101 23 0 23 }}
| 27.961
| 27.961
|
|-
|-
| [[64/63|septimal comma]], Archytas' comma, Leipziger Komma
| [[64/63|Septimal comma]], Archytas' comma, Leipziger Komma
| Ru
| Ru
| r1
| r1
| 64 / 63
| 64 / 63
| {{monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
| 27.264
| 27.264
|
|-
|-
| mandos
| [[Mandos comma]]
| Birugugu
| Birugugu
| rrg<sup>4</sup>1
| rrg<sup>4</sup>1
| 31104 / 30625
| 31104 / 30625
| {{monzo| 7 5 -4 -2 }}
| {{Monzo| 7 5 -4 -2 }}
| 26.868
| 26.868
|
|-
|-
| [[Slither clan|slither]]
| [[Slither comma]]
| Satritriru-aquadyo
| Satritriru-aquadyo
| sr<sup>9</sup>y<sup>4</sup>-5
| sr<sup>9</sup>y<sup>4</sup>-5
| 40960000 / 40353607
| 40960000 / 40353607
| {{monzo| 16 0 4 -9 }}
| {{Monzo| 16 0 4 -9 }}
| 25.822
| 25.822
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| 33-7/5-comma
| 33-7/5-comma
Line 474: Line 537:
| z<sup>33</sup>g<sup>33</sup>21
| z<sup>33</sup>g<sup>33</sup>21
|  
|  
| {{monzo| -16 0 -33 33 }}
| {{Monzo| -16 0 -33 33 }}
| 22.902
| 22.902
|
|-
|-
| Huntian 35-cycle comma
| Huntian 35-cycle comma
Line 481: Line 545:
| s<sup>15</sup>r<sup>54</sup>g<sup>54</sup>-6
| s<sup>15</sup>r<sup>54</sup>g<sup>54</sup>-6
|  
|  
| {{monzo| 277 0 -54 -54 }}
| {{Monzo| 277 0 -54 -54 }}
| 22.461
| 22.461
|
|-
|-
| blackjackisma
| [[Blackjackisma]]
| Lasepru-aquadbiyo
| Lasepru-aquadbiyo
| Lr<sup>7</sup>y<sup>8</sup>-6
| Lr<sup>7</sup>y<sup>8</sup>-6
| 854296875 / 843308032
| 854296875 / 843308032
| {{monzo| -10 7 8 -7 }}
| {{Monzo| -10 7 8 -7 }}
| 22.413
| 22.413
|
|-
|-
| squalentine
| [[Squalentine comma]]
| Laquadzo-atrigu
| Laquadzo-atrigu
| Lz<sup>4</sup>g<sup>3</sup>3
| Lz<sup>4</sup>g<sup>3</sup>3
| 64827 / 64000
| 64827 / 64000
| {{monzo| -9 3 -3 4 }}
| {{Monzo| -9 3 -3 4 }}
| 22.227
| 22.227
|
|-
|-
| [[875/864|keema]]
| [[875/864|Keema]]
| Zotriyo
| Zotriyo
| zy<sup>3</sup>1
| zy<sup>3</sup>1
| 875 / 864
| 875 / 864
| {{monzo| -5 -3 3 1 }}
| {{Monzo| -5 -3 3 1 }}
| 21.902
| 21.902
|
|-
|-
| [[Betelgeuse clan|betelgeuse]]
| [[Betelgeuse comma]]
| Satritrizo-agugu
| Satritrizo-agugu
| sz<sup>9</sup>gg6
| sz<sup>9</sup>gg6
| 40353607/39858075
| 40353607/39858075
| {{monzo| 0 -13 -2 9 }}
| {{Monzo| 0 -13 -2 9 }}
| 21.391
| 21.391
|
|-
|-
| [[3125/3087|gariboh]]
| [[3125/3087|Gariboh comma]]
| Triru-aquinyo
| Triru-aquinyo
| r<sup>3</sup>y<sup>5</sup>-3
| r<sup>3</sup>y<sup>5</sup>-3
| 3125 / 3087
| 3125 / 3087
| {{monzo| 0 -2 5 -3 }}
| {{Monzo| 0 -2 5 -3 }}
| 21.181
| 21.181
|
|-
|-
| [[Secanticorn temperaments|secanticornisma]]
| [[Secanticornisma]]
| Laruquingu
| Laruquingu
| Lrg<sup>5</sup>1
| Lrg<sup>5</sup>1
| 177147/175000
| 177147/175000
| {{monzo| -3 11 -5 -1 }}
| {{Monzo| -3 11 -5 -1 }}
| 21.111
| 21.111
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[2430/2401|nuwell]]
| [[2430/2401|Nuwell comma]]
| Quadru-ayo
| Quadru-ayo
| r<sup>4</sup>y-3
| r<sup>4</sup>y-3
| 2430 / 2401
| 2430 / 2401
| {{monzo| 1 5 1 -4 }}
| {{Monzo| 1 5 1 -4 }}
| 20.785
| 20.785
|
|-
|-
| [[Mermismic temperaments|mermisma]]
| [[Mermisma]]
| Sepruyo
| Sepruyo
| r<sup>7</sup>y<sup>7</sup>-5
| r<sup>7</sup>y<sup>7</sup>-5
| 2500000 / 2470629
| 2500000 / 2470629
| {{monzo| 5 -1 7 -7 }}
| {{Monzo| 5 -1 7 -7 }}
| 20.460
| 20.460
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Negricorn temperaments|negricorn]], small quadruple bluish
| [[Negricorn comma]], small quadruple bluish
| Saquadzogu
| Saquadzogu
| sz<sup>4</sup>g<sup>4</sup>4
| sz<sup>4</sup>g<sup>4</sup>4
Line 546: Line 619:
| {{monzo| 6 -5 -4 4 }}
| {{monzo| 6 -5 -4 4 }}
| 20.274
| 20.274
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Tolermic temperaments|tolerma]]
| [[Tolerant comma]]
| Sazoyoyo
| Sazoyoyo
| szyy2
| szyy2
| 179200 / 177147
| 179200 / 177147
| {{monzo| 10 -11 2 1 }}
| {{Monzo| 10 -11 2 1 }}
| 19.948
| 19.948
|
|-
|-
| 25-36/35-comma, icosipentatonic comma
| [[Icosipentatonic comma]], 25-36/35-comma
| Quinquinrugu
| Quinquinrugu
| r<sup>25</sup>g<sup>25</sup>-8
| r<sup>25</sup>g<sup>25</sup>-8
|  
|  
| {{monzo| 49 50 -25 -25 }}
| {{Monzo| 49 50 -25 -25 }}
| 19.260
| 19.260
|
|-
|-
| [[Valenwuer temperaments|valenwuer]]
| [[Valenwuer comma]]
| Sarutribigu
| Sarutribigu
| srg<sup>6</sup>1
| srg<sup>6</sup>1
| 110592/109375
| 110592/109375
| {{monzo| 12 3 -6 -1 }}
| {{Monzo| 12 3 -6 -1 }}
| 19.157
| 19.157
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Buzzardismic clan|buzzardisma]]
| [[Buzzardisma]]
| Saquadru
| Saquadru
| sr<sup>4</sup>-2
| sr<sup>4</sup>-2
| 65536 / 64827
| 65536 / 64827
| {{monzo| 16 -3 0 -4 }}
| {{Monzo| 16 -3 0 -4 }}
| 18.831
| 18.831
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| Huntian 21-cycle comma
| Huntian 21-cycle comma
Line 579: Line 657:
| s<sup>8</sup>r<sup>28</sup>-8
| s<sup>8</sup>r<sup>28</sup>-8
|  
|  
| {{monzo| 123 -28 0 -28 }}
| {{Monzo| 123 -28 0 -28 }}
| 18.135
| 18.135
|
|-
|-
| [[Mirwomo temperaments|mirwomo]]
| [[Mirwomo comma]]
| Labizoyo
| Labizoyo
| Lzzyy1
| Lzzyy1
| 33075 / 32768
| 33075 / 32768
| {{monzo| -15 3 2 2 }}
| {{Monzo| -15 3 2 2 }}
| 16.144
| 16.144
|
|-
|-
| [[Catasyc temperaments|catasyc]]
| [[Catasyc comma]]
| Laruquadbiyo
| Laruquadbiyo
| Lry<sup>8</sup>-3
| Lry<sup>8</sup>-3
| 390625 / 387072
| 390625 / 387072
| {{monzo| -11 -3 8 -1 }}
| {{Monzo| -11 -3 8 -1 }}
| 15.819
| 15.819
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Compass temperaments|compass comma]]
| [[Compass comma]]
| Quinruyoyo
| Quinruyoyo
| r<sup>5</sup>y<sup>10</sup>-5
| r<sup>5</sup>y<sup>10</sup>-5
Line 602: Line 683:
| {{monzo| -6 -2 10 -5 }}
| {{monzo| -6 -2 10 -5 }}
| 15.098
| 15.098
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Trimyna temperaments|trimyna]]
| [[Trimyna comma]]
| Quinzogu
| Quinzogu
| z<sup>5</sup>g<sup>5</sup>4
| z<sup>5</sup>g<sup>5</sup>4
Line 609: Line 691:
| {{monzo| -4 1 -5 5 }}
| {{monzo| -4 1 -5 5 }}
| 14.516
| 14.516
|
|-
|-
| [[245/243|sensamagic]]
| [[245/243|Sensamagic comma]]
| Zozoyo
| Zozoyo
| zzy2
| zzy2
Line 616: Line 699:
| {{monzo| 0 -5 1 2 }}
| {{monzo| 0 -5 1 2 }}
| 14.191
| 14.191
| [[Gene Ward Smith]] (2010)
|-
|-
| [[126/125|septimal semicomma]], starling comma
| [[126/125|Starling comma]], septimal semicomma
| Zotrigu
| Zotrigu
| zg<sup>3</sup>2
| zg<sup>3</sup>2
| 126 / 125
| 126 / 125
| {{monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| 13.795
| 13.795
|
|-
|-
| slendro 34-comma
| Slendro 34-comma
| Quinla-sequadzo
| Quinla-sequadzo
| L<sup>5</sup>z<sup>68</sup>28
| L<sup>5</sup>z<sup>68</sup>28
|  
|  
| {{monzo| -137 -34 0 68 }}
| {{Monzo| -137 -34 0 68 }}
| 13.692
| 13.692
|
|-
|-
| [[Octagar temperaments|octagar]]
| [[4000/3969|Octagar comma]]
| Rurutriyo
| Rurutriyo
| rry<sup>3</sup>-2
| rry<sup>3</sup>-2
| 4000 / 3969
| 4000 / 3969
| {{monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
| 13.469
| 13.469
|
|-
|-
| [[Orwellismic temperaments|orwellisma]], orwell comma
| [[1728/1715|Orwellisma]]
| Triru-agu
| Triru-agu
| r<sup>3</sup>g-2
| r<sup>3</sup>g-2
| 1728 / 1715
| 1728 / 1715
| {{monzo| 6 3 -1 -3 }}
| {{Monzo| 6 3 -1 -3 }}
| 13.074
| 13.074
|
|-
|-
| [[Mynaslendic temperaments|mynaslender comma]]
| [[Mynaslender comma]]
| Sepru-ayo
| Sepru-ayo
| r<sup>7</sup>y-4
| r<sup>7</sup>y-4
| 829440 / 823543
| 829440 / 823543
| {{monzo| 11 4 1 -7 }}
| {{Monzo| 11 4 1 -7 }}
| 12.352
| 12.352
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 35-7/5-comma
| 35-7/5-comma
Line 658: Line 747:
| {{monzo| 17 0 35 -35 }}
| {{monzo| 17 0 35 -35 }}
| 12.073
| 12.073
|
|-
|-
| [[chromatisma]]
| [[Chromatisma]]
| Trisa-triru-aquadquadyo
| Trisa-triru-aquadquadyo
| s<sup>3</sup>r<sup>3</sup>y<sup>16</sup>-3
| s<sup>3</sup>r<sup>3</sup>y<sup>16</sup>-3
| 640000000000000000 / 635585924776181463
| 640000000000000000 / 635585924776181463
| {{monzo| 22 -32 16 -3 }}
| {{Monzo| 22 -32 16 -3 }}
| 11.982
| 11.982
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Mistismic temperaments|mistisma]]
| [[Mistisma]]
| Sazoquadgu
| Sazoquadgu
| szg<sup>4</sup>3
| szg<sup>4</sup>3
| 458752 / 455625
| 458752 / 455625
| {{monzo| 16 -6 -4 1 }}
| {{Monzo| 16 -6 -4 1 }}
| 11.841
| 11.841
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| 34-jubilismic comma
| 34-jubilismic comma
Line 677: Line 769:
| z<sup>68</sup>g<sup>68</sup>42
| z<sup>68</sup>g<sup>68</sup>42
|  
|  
| {{monzo| -33 0 -68 68 }}
| {{Monzo| -33 0 -68 68 }}
| 10.829
| 10.829
|
|-
|-
| [[26th-octave temperaments|Hunt 7-cycle comma]]
| [[26th-octave temperaments|Hunt 7-cycle comma]]
Line 684: Line 777:
| s<sup>4</sup>r<sup>26</sup>-10
| s<sup>4</sup>r<sup>26</sup>-10
|  
|  
| {{monzo| 73 0 0 -26 }}
| {{Monzo| 73 0 0 -26 }}
| 10.526
| 10.526
|
|-
|-
| [[Septiness clan|septiness comma]]
| [[Septiness comma]]
| Sasasepru
| Sasasepru
| ssr<sup>7</sup>-3
| ssr<sup>7</sup>-3
| 67108864 / 66706983
| 67108864 / 66706983
| {{monzo| 26 -4 0 -7 }}
| {{Monzo| 26 -4 0 -7 }}
| 10.399
| 10.399
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[31-comma temperaments|31-35-comma]]
| [[31-comma temperaments|31-35-comma]]
Line 698: Line 793:
| L<sup>9</sup>z<sup>31</sup>y<sup>31</sup>4
| L<sup>9</sup>z<sup>31</sup>y<sup>31</sup>4
|  
|  
| {{monzo| -159 0 31 31 }}
| {{Monzo| -159 0 31 31 }}
| 9.3282
| 9.3282
|
|-
|-
| [[Quince clan|quince]]
| [[Quince comma]]
| Lasepzo-agugu
| Lasepzo-agugu
| Lz<sup>7</sup>gg4
| Lz<sup>7</sup>gg4
| 823543 / 819200
| 823543 / 819200
| {{monzo| -15 0 -2 7 }}
| {{Monzo| -15 0 -2 7 }}
| 9.1539
| 9.1539
|
|-
|-
| [[1029/1024|gamelisma]]
| [[1029/1024|Gamelisma]]
| Latrizo
| Latrizo
| Lz<sup>3</sup>2
| Lz<sup>3</sup>2
| 1029 / 1024
| 1029 / 1024
| {{monzo| -10 1 0 3 }}
| {{Monzo| -10 1 0 3 }}
| 8.4327
| 8.4327
|
|-
|-
| [[Varunismic temperaments|varunisma]]
| [[Varunisma]]
| Labizogugu
| Labizogugu
| Lzzg<sup>4</sup>2
| Lzzg<sup>4</sup>2
| 321489 / 320000
| 321489 / 320000
| {{monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
| 8.0370
| 8.0370
|
|-
|-
| [[225/224|septimal kleisma]], marvel comma
| [[225/224|Marvel comma]], septimal kleisma
| Ruyoyo
| Ruyoyo
| ryy-2
| ryy-2
| 225 / 224
| 225 / 224
| {{monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| 7.7115
| 7.7115
| [[Gene Ward Smith]] (2003)
|-
|-
| [[Dimcomp comma|dimcomp]]
| [[Dimcomp comma]]
| Quadruyoyo
| Quadruyoyo
| r<sup>4</sup>y<sup>8</sup>-4
| r<sup>4</sup>y<sup>8</sup>-4
| 390625 / 388962
| 390625 / 388962
| {{monzo| -1 -4 8 -4 }}
| {{Monzo| -1 -4 8 -4 }}
| 7.3861
| 7.3861
|
|-
|-
| [[Cataharry temperaments|cataharry]]
| [[Cataharry comma]]
| Labirugu
| Labirugu
| Lrrgg-2
| Lrrgg-2
| 19683 / 19600
| 19683 / 19600
| {{monzo| -4 9 -2 -2 }}
| {{Monzo| -4 9 -2 -2 }}
| 7.3158
| 7.3158
|
|-
|-
| [[Procyon clan|procyon comma]]
| [[Procyon comma]]
| Sasepzo-atrigu
| Sasepzo-atrigu
| sz<sup>7</sup>g<sup>3</sup>5
| sz<sup>7</sup>g<sup>3</sup>5
| 823543 / 820125
| 823543 / 820125
| {{monzo| 0 -8 -3 7 }}
| {{Monzo| 0 -8 -3 7 }}
| 7.2002
| 7.2002
|
|-
|-
| [[Mirkwai clan|mirkwai]]
| [[Mirkwai comma]]
| Quinru-aquadyo
| Quinru-aquadyo
| r<sup>5</sup>y<sup>4</sup>-4
| r<sup>5</sup>y<sup>4</sup>-4
| 16875 / 16807
| 16875 / 16807
| {{monzo| 0 3 4 -5 }}
| {{Monzo| 0 3 4 -5 }}
| 6.9903
| 6.9903
|
|-
|-
| [[canousma]]
| [[Canousma]]
| Saquadzo-atriyo
| Saquadzo-atriyo
| sz<sup>4</sup>y<sup>3</sup>3
| sz<sup>4</sup>y<sup>3</sup>3
| 4802000 / 4782969
| 4802000 / 4782969
| {{monzo|4 -14 3 4}}
| {{Monzo| 4 -14 3 4 }}
| 6.8748
| 6.8748
| [[Flora Canou]] (2020)
|-
|-
| [[Triwellismic temperaments|triwellisma]]
| [[Triwellisma]]
| Tribizo-asepgu
| Tribizo-asepgu
| z<sup>6</sup>g<sup>7</sup>5
| z<sup>6</sup>g<sup>7</sup>5
| 235298 / 234375
| 235298 / 234375
| {{monzo|1 -1 -7 6}}
| {{Monzo| 1 -1 -7 6 }}
| 6.8044
| 6.8044
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Stearnsmic clan|stearnsma]]
| [[Stearnsma]]
| Latribiru
| Latribiru
| Lr<sup>6</sup>-4
| Lr<sup>6</sup>-4
| 118098 / 117649
| 118098 / 117649
| {{monzo| 1 10 0 -6 }}
| {{Monzo| 1 10 0 -6 }}
| 6.5946
| 6.5946
|
|-
|-
| [[Hemimage comma|hemimage]]
| [[10976/10935|Hemimage comma]]
| Satrizo-agu
| Satrizo-agu
| sz<sup>3</sup>g3
| sz<sup>3</sup>g3
| 10976 / 10935
| 10976 / 10935
| {{monzo| 5 -7 -1 3 }}
| {{Monzo| 5 -7 -1 3 }}
| 6.4790
| 6.4790
|
|-
|-
| [[3136/3125|hemimean]]
| [[3136/3125|Hemimean comma]]
| Zozoquingu
| Zozoquingu
| zzg<sup>5</sup>3
| zzg<sup>5</sup>3
| 3136 / 3125
| 3136 / 3125
| {{monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
| 6.0832
| 6.0832
|
|-
|-
| [[5120/5103|hemifamity]], 5/7-kleisma
| [[5120/5103|Hemifamity comma]], 5/7-kleisma
| Saruyo
| Saruyo
| sry1
| sry1
| 5120 / 5103
| 5120 / 5103
| {{monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
| 5.7578
| 5.7578
|
|-
|-
| [[Parkleiness temperaments|parkleiness]]
| [[Parkleiness comma]]
| Zotritrigu
| Zotritrigu
| zg<sup>9</sup>3
| zg<sup>9</sup>3
| 1959552 / 1953125
| 1959552 / 1953125
| {{monzo| 7 7 -9 1 }}
| {{Monzo| 7 7 -9 1 }}
| 5.6875
| 5.6875
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[15/14ths equal temperament|linus comma]]
| [[Linus comma]]
| Saquinbizogu
| Saquinbizogu
| sz<sup>10</sup>g<sup>10</sup>8
| sz<sup>10</sup>g<sup>10</sup>8
| 578509309952 / 576650390625
| 578509309952 / 576650390625
| {{monzo| 11 -10 -10 10 }}
| {{Monzo| 11 -10 -10 10 }}
| 5.5719
| 5.5719
|
|-
|-
| [[reiwa comma]]
| [[Reiwa comma]]
| Saquadru-asepyo
| Saquadru-asepyo
| sr<sup>4</sup>y<sup>7</sup>-3
| sr<sup>4</sup>y<sup>7</sup>-3
Line 819: Line 931:
| {{monzo| 14 -12 7 -4 }}
| {{monzo| 14 -12 7 -4 }}
| 5.4324
| 5.4324
| [[Flora Canou]] (2022)
|-
|-
| [[6144/6125|porwell]]
| [[6144/6125|Porwell comma]]
| Sarurutrigu
| Sarurutrigu
| srrg<sup>3</sup>1
| srrg<sup>3</sup>1
| 6144 / 6125
| 6144 / 6125
| {{monzo| 11 1 -3 -2 }}
| {{Monzo| 11 1 -3 -2 }}
| 5.3620
| 5.3620
|
|-
|-
| [[Hemfiness temperaments|hemfiness comma]]
| [[Hemfiness comma]]
| Saquadru-atriyo
| Saquadru-atriyo
| sr<sup>4</sup>y<sup>3</sup>-3
| sr<sup>4</sup>y<sup>3</sup>-3
| 4096000 / 4084101
| 4096000 / 4084101
| {{monzo| 15 -5 3 -5 }}
| {{Monzo| 15 -5 3 -5 }}
| 5.0366
| 5.0366
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[Acrodec temperaments|acrodec comma]]
| [[Acrodec comma]]
| Sasa-tribizo-aquadbigu
| Sasa-tribizo-aquadbigu
| ssz<sup>6</sup>g<sup>8</sup>6
| ssz<sup>6</sup>g<sup>8</sup>6
| 7710244864 / 7688671875
| 7710244864 / 7688671875
| {{monzo| 16 -9 -8 6 }}
| {{Monzo| 16 -9 -8 6 }}
| 4.8507
| 4.8507
| [[User:Xenllium|Xenllium]] (2022)
|-
|-
| [[Hewuermera temperaments|hewuermera]]
| [[Hewuermera comma]]
| Satribiru-agu
| Satribiru-agu
| sr<sup>6</sup>g-3
| sr<sup>6</sup>g-3
| 589824 / 588245
| 589824 / 588245
| {{monzo| 16 2 -1 -6 }}
| {{Monzo| 16 2 -1 -6 }}
| 4.6408
| 4.6408
|
|-
|-
| [[Lokismic temperaments|lokisma]], loki comma
| [[Lokisma]], loki comma
| Sasa-bizotrigu
| Sasa-bizotrigu
| sszzg<sup>6</sup>4
| sszzg<sup>6</sup>4
| 102760448 / 102515625
| 102760448 / 102515625
| {{monzo| 21 -8 -6 2 }}
| {{Monzo| 21 -8 -6 2 }}
| 4.1295
| 4.1295
| [[User:Xenllium|Xenllium]] (2021)
|-
|-
| [[garischisma]], septimal schisma
| [[Garischisma]], septimal schisma
| Sasaru
| Sasaru
| ssr2
| ssr2
| 33554432 / 33480783
| 33554432 / 33480783
| {{monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
| 3.8041
| 3.8041
|
|-
|-
| wadisma
| [[Wadisma]]
| Latritrizo-ayo
| Latritrizo-ayo
| Lz<sup>9</sup>y4
| Lz<sup>9</sup>y4
| 201768035 / 201326592
| 201768035 / 201326592
| {{monzo| -26 -1 1 9 }}
| {{Monzo| -26 -1 1 9 }}
| 3.7919
| 3.7919
|
|-
|-
| quasiorwellisma
| [[Quasiorwellisma]]
| Sazoquinbigu
| Sazoquinbigu
| szg<sup>10</sup>4
| szg<sup>10</sup>4
| 29360128 / 29296875
| 29360128 / 29296875
| {{monzo| 22 -1 -10 1 }}
| {{Monzo| 22 -1 -10 1 }}
| 3.7338
| 3.7338
|
|}
|}



Revision as of 11:53, 13 May 2023

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 commas; for commas in between 30 and 100 cents in size, see Medium commas; and for commas under 3.5 cents in size, see Unnoticeable commas

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 convention elsewhere on the wiki.

List of commas, by prime limit

3-limit commas

Name(s) Color Name Ratio Monzo Cents Denomination
241-comma Wa-241 w-241 [382 -241 28.845
65-comma,
Pythagorean septimal comma
Wa-65 w-65 [-103 65 27.075
Pythagorean comma Lalawa LLw-2 531441 / 524288 [-19 12 23.460
41-comma, Pythagorean countercomma,
countercomp comma
Wa-41 w-41 36893488147419103232 /
36472996377170786403
[65 -41 19.845 Flora Canou (2022)
94-comma, garistearn comma Wa-94 w-94 [149 -94 16.230 Xenllium (2021)
147-comma Wa-147 w-147 [233 -147 12.615
200-comma,
Pythagorean integer-cent ET comma
Wa-200 w-200 [317 -200 8.9998
253-comma Wa-253 w-253 [401 -253 5.3848
Mercator's comma, 53-comma Wa-53 w-53 19383245667680019896796723 /
19342813113834066795298816
[-84 53 3.6150

5-limit commas

Name(s) Color Name Ratio Monzo Cents Denomination
Magic comma, small diesis Laquinyo Ly5-2 3125/3072 [-10 -1 5 29.614
Hendecatonic comma Trisa-legu s3g115 8796093022208 / 8649755859375 [43 -11 -11 29.044
Tetracot comma, minimal diesis Saquadyo sy41 20000 / 19683 [5 -9 4 27.660
Semaja comma Lalaneyo LLy19-5 19073486328125 / 18786186952704 [-33 -7 19 26.276
Quanic comma Sepsa-quinyo s7y55 [74 -54 5 25.999
Roda Sasa-triyo ssy32 131072000 / 129140163 [20 -17 3 25.706
Trisedodge comma Saquintrigu sg154 30958682112 / 30517578125 [19 10 -15 24.844
Birds comma Quadsa-thiwegu s4g319 [72 0 -31 24.275
Maja comma Saseyo sy17-3 762939453125 / 753145430616 [-3 -23 17 22.368
Satin comma Quinbisa-triyo s10y37 [104 -70 3 22.091
Misneb comma Quadla-quintriyo L4y15-6 [-57 14 15 22.076
Syntonic comma, Didymus comma, meantone comma Gu g1 81/80 [-4 4 -1 21.506
Maquila comma Trisa-segu s3g176 562949953421312 / 556182861328125 [49 -6 -17 20.937
Sfourth comma Lala-negu LLg193 617673396283947 / 610351562500000 [-5 31 -19 20.644
Diaschisma Sagugu sgg2 2048/2025 [11 -4 -2 19.553
Countermeantone comma Quinquadgu g204 96402615118848 / 95367431640625 [10 23 -20 18.691
Ditonma Lala-theyo LLy13-4 1220703125 / 1207959552 [-27 -2 13 18.168
Misty comma Sasa-trigu ssg33 67108864 / 66430125 [26 -12 -3 17.599
Pental comma Trila-quingu L3g5-2 847288609443 / 838860800000 [-28 25 -5 17.306
Oquatonic comma Quadla-sepquadyo L4y28-8 [-65 0 28 16.784
Undim comma Trisa-quadgu s3g44 2199023255552 / 2179240250625 [41 -20 -4 15.645
Graviton, gravity comma Lala-tribigu LLg61 129140163 / 128000000 [-13 17 -6 15.353
Majvam comma Sasa-lebigu ssg226 [40 7 -22 14.783
Quartonic comma Saleyo sy11-2 390625000 / 387420489 [3 -18 11 14.261
Untritonic comma Quadla-tritriyo L4y9-5 [-51 19 9 13.968
Quindromeda comma Quinsa-quingu s5g55 [56 -28 -5 13.691
Sensipent comma, medium semicomma Sepgu g72 78732 / 78125 [2 9 -7 13.399
Tertiosec comma Laquadtribiyo L6y24-9 [-89 21 24 12.584
Würschmidt comma Saquadbigu sg83 393216 / 390625 [17 1 -8 11.445
Commatic comma Quadla-quinbigu L4g10-2 [-37 38 -10 11.153
Counterhanson comma Quinquinyo y25-5 [-20 -24 25 10.923
Countriton comma Quadsa-tritriyo s4y92 16777216000000000 / 16677181699666569 [33 -34 9 10.353 Xenllium (2022)
Semicomma, Fokker comma Lasepyo Ly7-3 2109375 / 2097152 [-21 3 7 10.061
Escapade comma Sasa-tritrigu ssg94 4294967296 / 4271484375 [32 -7 -9 9.4916
Kleisma, semicomma majeur Tribiyo y6-2 15625 / 15552 [-6 -5 6 8.1073
Qintosec comma Quadsa-quinbigu s4g105 140737488355328 / 140126044921875 [47 -15 -10 7.5378
59-5-comma Quadbisa-finegu s8g5916 [137 0 -59 7.4909
Unidecma Laquadtrigu Lg122 31381059609 / 31250000000 [-7 22 -12 7.2455
Mutt comma Trila-septriyo L3y21-6 476837158203125 / 474989023199232 [-44 -3 21 6.7230
Amity comma Saquinyo sy51 1600000 / 1594323 [9 -13 5 6.1536
Parakleisma Thegu g133 1224440064 / 1220703125 [8 14 -13 5.2917
Gammic comma Laquinquadyo Ly20-5 95367431640625 / 95105071448064 [-29 -11 20 4.7693
Squarschmidt comma Quadsa-twenegu s4g298 [61 4 -29 4.7223
Huntian 15-cycle comma Quadtrisa-fothegu s12g4316 [168 -43 -43 4.4453
Barium comma Quadtribila-sepquadbigu L24g56-8 [-225 224 -56 4.3522 Eliora (2023)
Vulture comma Sasa-quadyo ssy42 10485760000 / 10460353203 [24 -21 4 4.1998
Lafa comma Tribisa-quadtrigu s6g127 [77 -31 -12 3.6304

7-limit commas

Name(s) Color Name Ratio Monzo Cents Denomination
Schismean comma Laruyo Lry-2 3645 / 3584 [-9 6 1 -1 29.218 Xenllium (2022)
Senga Trizo-agugu z3gg3 686 / 675 [1 -3 -2 3 27.985
23-21-comma Sepla-twethezo L7z237 [-101 23 0 23 27.961
Septimal comma, Archytas' comma, Leipziger Komma Ru r1 64 / 63 [6 -2 0 -1 27.264
Mandos comma Birugugu rrg41 31104 / 30625 [7 5 -4 -2 26.868
Slither comma Satritriru-aquadyo sr9y4-5 40960000 / 40353607 [16 0 4 -9 25.822 Xenllium (2022)
33-7/5-comma Letrizogu z33g3321 [-16 0 -33 33 22.902
Huntian 35-cycle comma Quintrisa-tritritribirugu s15r54g54-6 [277 0 -54 -54 22.461
Blackjackisma Lasepru-aquadbiyo Lr7y8-6 854296875 / 843308032 [-10 7 8 -7 22.413
Squalentine comma Laquadzo-atrigu Lz4g33 64827 / 64000 [-9 3 -3 4 22.227
Keema Zotriyo zy31 875 / 864 [-5 -3 3 1 21.902
Betelgeuse comma Satritrizo-agugu sz9gg6 40353607/39858075 [0 -13 -2 9 21.391
Gariboh comma Triru-aquinyo r3y5-3 3125 / 3087 [0 -2 5 -3 21.181
Secanticornisma Laruquingu Lrg51 177147/175000 [-3 11 -5 -1 21.111 Xenllium (2021)
Nuwell comma Quadru-ayo r4y-3 2430 / 2401 [1 5 1 -4 20.785
Mermisma Sepruyo r7y7-5 2500000 / 2470629 [5 -1 7 -7 20.460 Xenllium (2021)
Negricorn comma, small quadruple bluish Saquadzogu sz4g44 153664 / 151875 [6 -5 -4 4 20.274 Xenllium (2021)
Tolerant comma Sazoyoyo szyy2 179200 / 177147 [10 -11 2 1 19.948
Icosipentatonic comma, 25-36/35-comma Quinquinrugu r25g25-8 [49 50 -25 -25 19.260
Valenwuer comma Sarutribigu srg61 110592/109375 [12 3 -6 -1 19.157 Xenllium (2021)
Buzzardisma Saquadru sr4-2 65536 / 64827 [16 -3 0 -4 18.831 Xenllium (2021)
Huntian 21-cycle comma Quadbisa-sepquadru s8r28-8 [123 -28 0 -28 18.135
Mirwomo comma Labizoyo Lzzyy1 33075 / 32768 [-15 3 2 2 16.144
Catasyc comma Laruquadbiyo Lry8-3 390625 / 387072 [-11 -3 8 -1 15.819 Xenllium (2021)
Compass comma Quinruyoyo r5y10-5 9765625 / 9680832 [-6 -2 10 -5 15.098 Xenllium (2021)
Trimyna comma Quinzogu z5g54 50421 / 50000 [-4 1 -5 5 14.516
Sensamagic comma Zozoyo zzy2 245 / 243 [0 -5 1 2 14.191 Gene Ward Smith (2010)
Starling comma, septimal semicomma Zotrigu zg32 126 / 125 [1 2 -3 1 13.795
Slendro 34-comma Quinla-sequadzo L5z6828 [-137 -34 0 68 13.692
Octagar comma Rurutriyo rry3-2 4000 / 3969 [5 -4 3 -2 13.469
Orwellisma Triru-agu r3g-2 1728 / 1715 [6 3 -1 -3 13.074
Mynaslender comma Sepru-ayo r7y-4 829440 / 823543 [11 4 1 -7 12.352 Xenllium (2021)
35-7/5-comma Sepquinruyo r35y35-22 [17 0 35 -35 12.073
Chromatisma Trisa-triru-aquadquadyo s3r3y16-3 640000000000000000 / 635585924776181463 [22 -32 16 -3 11.982 Xenllium (2021)
Mistisma Sazoquadgu szg43 458752 / 455625 [16 -6 -4 1 11.841 Xenllium (2021)
34-jubilismic comma Sequadzogu z68g6842 [-33 0 -68 68 10.829
Hunt 7-cycle comma Quadsa-thebiru s4r26-10 [73 0 0 -26 10.526
Septiness comma Sasasepru ssr7-3 67108864 / 66706983 [26 -4 0 -7 10.399 Xenllium (2021)
31-35-comma Tritrila-thiwezoyo L9z31y314 [-159 0 31 31 9.3282
Quince comma Lasepzo-agugu Lz7gg4 823543 / 819200 [-15 0 -2 7 9.1539
Gamelisma Latrizo Lz32 1029 / 1024 [-10 1 0 3 8.4327
Varunisma Labizogugu Lzzg42 321489 / 320000 [-9 8 -4 2 8.0370
Marvel comma, septimal kleisma Ruyoyo ryy-2 225 / 224 [-5 2 2 -1 7.7115 Gene Ward Smith (2003)
Dimcomp comma Quadruyoyo r4y8-4 390625 / 388962 [-1 -4 8 -4 7.3861
Cataharry comma Labirugu Lrrgg-2 19683 / 19600 [-4 9 -2 -2 7.3158
Procyon comma Sasepzo-atrigu sz7g35 823543 / 820125 [0 -8 -3 7 7.2002
Mirkwai comma Quinru-aquadyo r5y4-4 16875 / 16807 [0 3 4 -5 6.9903
Canousma Saquadzo-atriyo sz4y33 4802000 / 4782969 [4 -14 3 4 6.8748 Flora Canou (2020)
Triwellisma Tribizo-asepgu z6g75 235298 / 234375 [1 -1 -7 6 6.8044 Xenllium (2021)
Stearnsma Latribiru Lr6-4 118098 / 117649 [1 10 0 -6 6.5946
Hemimage comma Satrizo-agu sz3g3 10976 / 10935 [5 -7 -1 3 6.4790
Hemimean comma Zozoquingu zzg53 3136 / 3125 [6 0 -5 2 6.0832
Hemifamity comma, 5/7-kleisma Saruyo sry1 5120 / 5103 [10 -6 1 -1 5.7578
Parkleiness comma Zotritrigu zg93 1959552 / 1953125 [7 7 -9 1 5.6875 Xenllium (2021)
Linus comma Saquinbizogu sz10g108 578509309952 / 576650390625 [11 -10 -10 10 5.5719
Reiwa comma Saquadru-asepyo sr4y7-3 1280000000 / 1275989841 [14 -12 7 -4 5.4324 Flora Canou (2022)
Porwell comma Sarurutrigu srrg31 6144 / 6125 [11 1 -3 -2 5.3620
Hemfiness comma Saquadru-atriyo sr4y3-3 4096000 / 4084101 [15 -5 3 -5 5.0366 Xenllium (2021)
Acrodec comma Sasa-tribizo-aquadbigu ssz6g86 7710244864 / 7688671875 [16 -9 -8 6 4.8507 Xenllium (2022)
Hewuermera comma Satribiru-agu sr6g-3 589824 / 588245 [16 2 -1 -6 4.6408
Lokisma, loki comma Sasa-bizotrigu sszzg64 102760448 / 102515625 [21 -8 -6 2 4.1295 Xenllium (2021)
Garischisma, septimal schisma Sasaru ssr2 33554432 / 33480783 [25 -14 0 -1 3.8041
Wadisma Latritrizo-ayo Lz9y4 201768035 / 201326592 [-26 -1 1 9 3.7919
Quasiorwellisma Sazoquinbigu szg104 29360128 / 29296875 [22 -1 -10 1 3.7338

11-limit commas

Name(s) Color Name Ratio Monzo Cents
thuja comma Saquinlu-ayo s1u5y2 163840 / 161051 [15 0 1 0 -5 29.724
sensmus Salozogu s1ozg2 1232/1215 [4 -5 -1 1 1 24.055
sevnothrush Loquingu 1og52 3168/3125 [5 2 -5 0 1 23.659
frostma Biluzo-ayo 1uuzzy2 245/242 [-1 0 1 2 -2 21.330
antimisma Lobizogu 1ozzgg2 1617/1600 [-6 1 -2 2 1 18.297
mothwellsma Loruru 1orr-2 99/98 [-1 2 0 -2 1 17.576
ptolemisma Luyoyo 1uyy1 100/99 [2 -2 2 0 -1 17.399
hemimin Trilu-azo 1u3z2 1344/1331 [6 1 0 1 -3 16.827
Betarabian comma Lalolo L1oo-2 264627 / 262144 [-18 7 0 0 2 16.321
biyatisma Lologu 1oog1 121/120 [-3 -1 -1 0 2 14.367
aphrowe Trilo-aruru 1o3rr-2 1331/1323 [0 -3 0 -2 3 10.437
valinorsma Lorugugu 1orgg1 176/175 [4 0 -2 -1 1 9.8646
pentacircle Saluzo s1uz2 896/891 [7 -4 0 1 -1 9.6880
Alpharabian comma Laquadlo L1o4-2 131769 / 131072 [-17 2 0 0 4 9.1818
orgonisma Satrilu-aruru s1u3rr1 65536 / 65219 [16 0 0 -2 -3 8.3944
quindecic comma Sasa-quintriloru ss1o15r15-8 [14 -15 0 -15 15 8.0555
fantares comma Luluzoquadyo 1uuzy41 4375 / 4356 [-2 -2 4 1 -2 7.5349
semicanousma Quadlo-agu 1o4g1 14641 / 14580 [-2 -6 -1 0 4 7.2281
rastma Lulu 1uu1 243/242 [-1 5 0 0 -2 7.1391
myhemiwell Lolozotrigu 1oozg32 3388/3375 [2 -3 -3 1 2 6.6556
semiporwellisma Salulugu s1uug2 16384 / 16335 [14 -3 -1 0 -2 5.1854
octatonic comma Quadbilu 1u82 214990848 / 214358881 [15 8 0 0 -8 5.0965
keenanisma Lozoyo 1ozy1 385/384 [-7 -1 1 1 1 4.5026
trimitone comma Lalotrigu L1og31 8019/8000 [-6 6 -3 0 1 4.1068
werckisma Luzozogu 1uzzg2 441/440 [-3 2 -1 2 -1 3.9302
moctdel Lotriruyo 1or3y3-3 1375/1372 [-2 0 3 -3 1 3.7814
liganellus comma, liganellisma Luruquinyo 1ury5-2 6250/6237 [1 -4 5 -1 -1 3.60473

13-limit commas

Name(s) Color Name Ratio Monzo Cents
wilsorma Thoyo 3oy1 65/64 [-6 0 1 0 0 1 26.841
hyperpyth comma Quadtho-aquingu 3o4g53 28561/28125 [0 -2 -5 0 0 4 26.632
winmeanma Thulogu 3u1og1 66/65 [1 1 -1 0 1 -1 26.432
negustma Tholuru 3o1ur1 78/77 [1 1 0 -1 -1 1 22.339
superleap Thozogu 3ozg2 91/90 [-1 -2 -1 1 0 1 19.130
diahuntmisma Labithozo L3oozz2 8281/8192 [-13 0 0 2 0 2 18.707
tridecimal neutral 3rds comma Thuthu 3uu1 512/507 [9 -1 0 0 0 -2 16.990
animist Thuzoyo 3uzy1 105/104 [-3 1 1 1 0 -1 16.567
secorian comma Sathuzo s3uz2 28672 / 28431 [12 -7 0 1 0 -1 14.613
mosaic Lathoruru L3orr-2 3159/3136 [-6 5 0 -2 0 1 12.651
gassorma Thuloruyoyo 3u1oryy-2 275/273 [0 -1 2 -1 1 -1 12.637
grossma Thulu 3u1u1 144/143 [4 2 0 0 -1 -1 12.064
buzurgisma, dhanvantarisma Thothoru 3oor1 169/168 [-3 -1 0 -1 0 2 10.274
diagassormisma Bitholugu 3oo1uugg2 3042/3025 [1 2 -2 0 -2 2 9.7020
greater nelindic comma Thothoquinru-ayoyo 3oor5yy-3 16900/16807 [2 0 2 -5 0 2 9.5532
catadictma Thologu 3o1og1 1287/1280 [-8 2 -1 0 1 1 9.4419
mynucuma Thuzozogu 3uzzg2 196/195 [2 -1 -1 2 0 -1 8.8554
huntma, lesser nelindic comma Thururuyo 3urry-2 640/637 [7 0 1 -2 0 -1 8.1342
threedie Satritho s3o32 2197/2187 [0 -7 0 0 0 3 7.8980
hebrewsma 4394/4375 [1 0 -4 -1 0 3 7.5022
kestrel comma Thuthuloru 3uu1or-2 1188/1183 [2 3 0 -1 1 -2 7.3017
praveensma 31213/31104 [-7 -5 0 4 0 1 6.0563
lambeth Thobiloru 3o1oorr-2 1573/1568 [-5 0 0 -2 2 1 5.5117
marveltwin Thoyoyo 3oyy1 325/324 [-2 -4 2 0 0 1 5.3351
Hunt 13-cycle comma Laquinbitho L3o102 137858491849 / 137438953472 [-37 0 0 0 0 10 5.2766
ratwolfsma Thorugugu 3orgg1 351/350 [-1 3 -2 -1 0 1 4.9393
minthma, 11/13-kleisma Thulo 3u1o1 352/351 [5 -3 0 0 1 -1 4.9253
gentle comma Tholuluzo 3o1uuz2 364/363 [2 -1 0 1 -2 1 4.7627
cuthbert Bithulo-azogu 3uu1oozg1 847/845 [0 0 -1 1 2 -2 4.0928

17-limit commas

Name(s) Color Name Ratio Monzo Cents
soruyo unison Soruyo 17ory1 85/84 [-2 -1 1 -1 0 0 1 20.488
lum comma Sosothulu 17oo3u1u2 289/286 [-1 0 0 0 -1 -1 2 18.065
mey comma Sutritho 17u3o31 2197/2176 [-7 0 0 0 0 3 -1 16.628
septendecimal comma, Hunt flat 2 comma Laso L17o1 4131/4096 [-12 5 0 0 0 0 1 14.730
lynchisma Suruyo 17ury-2 120/119 [3 1 1 -1 0 0 -1 14.487
23 semitone comma Trila-twetheso L317o2310 [-94 0 0 0 0 0 23 13.974
sothuthuyo unison Sothuthuyo 17o3uuy1 170/169 [1 0 1 0 0 -2 1 10.214
septendecimal schisma[1] Lasu L17u-2 2187/2176 [-7 7 0 0 0 0 -1 8.7296
Mean thirds comma Lasosoyo L17ooy1 1053405/1048576 [-20 6 1 0 0 0 2 7.9545
Blume comma Sololo 17o1oo1 2057/2048 [-11 0 0 0 2 0 1 7.5913
septendecimal kleisma Sugu 17ug1 256/255 [8 -1 -1 0 0 0 -1 6.7759
tannisma Suthozo 17u3oz1 273/272 [-4 1 0 1 0 1 -1 6.3532
semitonisma Soso 17oo2 289/288 [-5 -2 0 0 0 0 2 6.0008
ursulisma 375/374 [-1 1 3 0 -1 0 -1 4.6228
17-ripple integer cents comma[clarification needed] [327 0 0 0 0 0 -80 3.5672

19-limit commas

Name(s) Color Name Ratio Monzo Cents
nuruyo comma Nuruyo 19ury-2 135/133 [0 3 1 -1 0 0 0 -1 25.84
nogugu 2nd Nogugu 19ogg2 76/75 [2 -1 -2 0 0 0 0 1 22.931
nulozo unison (approximation to the adjacent step of 53edo) Nulozo 19u1oz1 77/76 [-2 0 0 1 1 0 0 -1 22.631
19th-partial chroma Nugu 19ug1 96/95 [5 1 -1 0 0 0 0 -1 18.128
ume comma Nutriso 19u17o32 4913/4864 [-8 0 0 0 0 0 3 -1 17.353
noluzo 2nd Noluzo 19o1uz2 133/132 [-2 -1 0 1 -1 0 0 1 13.066
ganassisma, Ganassi's comma Nuso 19u17o1 153/152 [-3 2 0 0 0 0 1 -1 11.352
nosugu unison Nosugu 19o17ug1 171/170 [-1 2 -1 0 0 0 -1 1 10.154
eye comma Nusosolulu 19u17oo1uu2 2312/2299 [3 0 0 0 -2 0 2 -1 9.7619
Hunt 19-cycle comma Saquadnu s19u4-2 131072 / 130321 [17 0 0 0 0 0 0 -4 9.9479
binulo comma Binulo 19uu1oo-2 363/361 [0 1 0 0 2 0 0 -2 9.5649
yama comma Nothulo 19o3u1o1 209/208 [-4 0 0 0 1 -1 0 1 8.3033
spleen comma Nuluzoyo 19u1uzy1 210/209 [1 1 1 1 -1 0 0 -1 8.2637
nuthologu comma Nuthologu 19u3o1og1 286/285 [1 -1 -1 0 1 1 0 -1 6.0639
nusu comma Nusu 19u17u-2 324/323 [2 4 0 0 0 0 -1 -1 5.3516
go comma Nonogu 19oog2 361/360 [-3 -2 -1 0 0 0 0 2 4.8023

Higher-limit commas

Name(s) Color name Ratio Monzo Cents
Classical mediant of Didymus' and Archytas' commas Twenothuluyo 29o3u1uy1 145/143 5.11.13.29 [1 -1 -1 1 24.045
semaphorisma Thisothogu 37o3og2 481/480 2.3.5.13.37 [-5 -1 -1 1 1 3.6030

Notes