Small comma: Difference between revisions
Jump to navigation
Jump to search
→11-limit commas: +semiporwellisma |
|||
| Line 12: | Line 12: | ||
! Name(s) | ! Name(s) | ||
! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ! colspan="2" |[[Color notation/Temperament Names|Color Name]] | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
| Line 19: | Line 18: | ||
| Wa-241 | | Wa-241 | ||
| w-241 | | w-241 | ||
| {{monzo| 382 -241 }} | | {{monzo| 382 -241 }} | ||
| 28.845 | | 28.845 | ||
| Line 26: | Line 24: | ||
| Wa-65 | | Wa-65 | ||
| w-65 | | w-65 | ||
| {{monzo| -103 65 }} | | {{monzo| -103 65 }} | ||
| 27.075 | | 27.075 | ||
| Line 33: | Line 30: | ||
| Lalawa | | Lalawa | ||
| LLw-2 | | LLw-2 | ||
| {{monzo| -19 12 }} | | {{monzo| -19 12 }} | ||
| 23.460 | | 23.460 | ||
| Line 40: | Line 36: | ||
| Wa-41 | | Wa-41 | ||
| w-41 | | w-41 | ||
| {{monzo| 65 -41 }} | | {{monzo| 65 -41 }} | ||
| 19.845 | | 19.845 | ||
| Line 47: | Line 42: | ||
| Wa-94 | | Wa-94 | ||
| w-94 | | w-94 | ||
| {{monzo| 149 -94 }} | | {{monzo| 149 -94 }} | ||
| 16.230 | | 16.230 | ||
| Line 54: | Line 48: | ||
| Wa-147 | | Wa-147 | ||
| w-147 | | w-147 | ||
| {{monzo| 233 -147 }} | | {{monzo| 233 -147 }} | ||
| 12.615 | | 12.615 | ||
| Line 61: | Line 54: | ||
| Wa-200 | | Wa-200 | ||
| w-200 | | w-200 | ||
| {{monzo| 317 -200 }} | | {{monzo| 317 -200 }} | ||
| 8.9998 | | 8.9998 | ||
| Line 68: | Line 60: | ||
| Wa-253 | | Wa-253 | ||
| w-253 | | w-253 | ||
| {{monzo| 401 -253 }} | | {{monzo| 401 -253 }} | ||
| 5.3848 | | 5.3848 | ||
| Line 75: | Line 66: | ||
| Wa-53 | | Wa-53 | ||
| w-53 | | w-53 | ||
| {{monzo| -84 53 }} | | {{monzo| -84 53 }} | ||
| 3.6150 | | 3.6150 | ||
| Line 99: | Line 89: | ||
| Trisa-legu | | Trisa-legu | ||
| s<sup>3</sup>g<sup>11</sup>5 | | s<sup>3</sup>g<sup>11</sup>5 | ||
| | | | ||
| {{monzo| 43 -11 -11 }} | | {{monzo| 43 -11 -11 }} | ||
| 29.044 | | 29.044 | ||
| Line 113: | Line 103: | ||
| Lalaneyo | | Lalaneyo | ||
| LLy<sup>19</sup>-5 | | LLy<sup>19</sup>-5 | ||
| | | | ||
| {{monzo| -33 -7 19 }} | | {{monzo| -33 -7 19 }} | ||
| 26.276 | | 26.276 | ||
| Line 134: | Line 124: | ||
| Saquintrigu | | Saquintrigu | ||
| sg<sup>15</sup>4 | | sg<sup>15</sup>4 | ||
| | | | ||
| {{monzo| 19 10 -15 }} | | {{monzo| 19 10 -15 }} | ||
| 24.844 | | 24.844 | ||
| Line 141: | Line 131: | ||
| Saseyo | | Saseyo | ||
| sy<sup>17</sup>-3 | | sy<sup>17</sup>-3 | ||
| | | | ||
| {{monzo| -3 -23 17 }} | | {{monzo| -3 -23 17 }} | ||
| 22.368 | | 22.368 | ||
| Line 169: | Line 159: | ||
| Trisa-segu | | Trisa-segu | ||
| s<sup>3</sup>g<sup>17</sup>6 | | s<sup>3</sup>g<sup>17</sup>6 | ||
| | | | ||
| {{monzo| 49 -6 -17 }} | | {{monzo| 49 -6 -17 }} | ||
| 20.937 | | 20.937 | ||
| Line 183: | Line 173: | ||
| Quinquadgu | | Quinquadgu | ||
| g<sup>20</sup>4 | | g<sup>20</sup>4 | ||
| | | | ||
| {{monzo| 10 23 -20 }} | | {{monzo| 10 23 -20 }} | ||
| 18.691 | | 18.691 | ||
| Line 190: | Line 180: | ||
| Lala-theyo | | Lala-theyo | ||
| LLy<sup>13</sup>-4 | | LLy<sup>13</sup>-4 | ||
| | | | ||
| {{monzo| -27 -2 13 }} | | {{monzo| -27 -2 13 }} | ||
| 18.168 | | 18.168 | ||
| Line 197: | Line 187: | ||
| Sasa-trigu | | Sasa-trigu | ||
| ssg<sup>3</sup>3 | | ssg<sup>3</sup>3 | ||
| | | | ||
| {{monzo| 26 -12 -3 }} | | {{monzo| 26 -12 -3 }} | ||
| 17.599 | | 17.599 | ||
| Line 204: | Line 194: | ||
| Trila-quingu | | Trila-quingu | ||
| L<sup>3</sup>g<sup>5</sup>-2 | | L<sup>3</sup>g<sup>5</sup>-2 | ||
| | | | ||
| {{monzo| -28 25 -5 }} | | {{monzo| -28 25 -5 }} | ||
| 17.306 | | 17.306 | ||
| Line 211: | Line 201: | ||
| Trisa-quadgu | | Trisa-quadgu | ||
| s<sup>3</sup>g<sup>4</sup>4 | | s<sup>3</sup>g<sup>4</sup>4 | ||
| | | | ||
| {{monzo| 41 -20 -4 }} | | {{monzo| 41 -20 -4 }} | ||
| 15.645 | | 15.645 | ||
| Line 218: | Line 208: | ||
| Lala-tribigu | | Lala-tribigu | ||
| LLg<sup>6</sup>1 | | LLg<sup>6</sup>1 | ||
| | | | ||
| {{monzo| -13 17 -6 }} | | {{monzo| -13 17 -6 }} | ||
| 15.353 | | 15.353 | ||
| Line 260: | Line 250: | ||
| Saquadbigu | | Saquadbigu | ||
| sg<sup>8</sup>3 | | sg<sup>8</sup>3 | ||
| | | | ||
| {{monzo| 17 1 -8 }} | | {{monzo| 17 1 -8 }} | ||
| 11.445 | | 11.445 | ||
| Line 274: | Line 264: | ||
| Lasepyo | | Lasepyo | ||
| Ly<sup>7</sup>-3 | | Ly<sup>7</sup>-3 | ||
| | | | ||
| {{monzo| -21 3 7 }} | | {{monzo| -21 3 7 }} | ||
| 10.061 | | 10.061 | ||
| Line 281: | Line 271: | ||
| Sasa-tritrigu | | Sasa-tritrigu | ||
| ssg<sup>9</sup>4 | | ssg<sup>9</sup>4 | ||
| | | | ||
| {{monzo| 32 -7 -9 }} | | {{monzo| 32 -7 -9 }} | ||
| 9.4916 | | 9.4916 | ||
| Line 295: | Line 285: | ||
| Quadsa-quinbigu | | Quadsa-quinbigu | ||
| s<sup>4</sup>g<sup>10</sup>5 | | s<sup>4</sup>g<sup>10</sup>5 | ||
| | | | ||
| {{monzo| 47 -15 -10 }} | | {{monzo| 47 -15 -10 }} | ||
| 7.5378 | | 7.5378 | ||
| Line 309: | Line 299: | ||
| Laquadtrigu | | Laquadtrigu | ||
| Lg<sup>12</sup>2 | | Lg<sup>12</sup>2 | ||
| | | | ||
| {{monzo| -7 22 -12 }} | | {{monzo| -7 22 -12 }} | ||
| 7.2455 | | 7.2455 | ||
| Line 316: | Line 306: | ||
| Trila-septriyo | | Trila-septriyo | ||
| L<sup>3</sup>y<sup>21</sup>-6 | | L<sup>3</sup>y<sup>21</sup>-6 | ||
| | | | ||
| {{monzo| -44 -3 21 }} | | {{monzo| -44 -3 21 }} | ||
| 6.7230 | | 6.7230 | ||
| Line 323: | Line 313: | ||
| Saquinyo | | Saquinyo | ||
| sy<sup>5</sup>1 | | sy<sup>5</sup>1 | ||
| | | | ||
| {{monzo| 9 -13 5 }} | | {{monzo| 9 -13 5 }} | ||
| 6.1536 | | 6.1536 | ||
| Line 330: | Line 320: | ||
| Thegu | | Thegu | ||
| g<sup>13</sup>3 | | g<sup>13</sup>3 | ||
| | | | ||
| {{monzo| 8 14 -13 }} | | {{monzo| 8 14 -13 }} | ||
| 5.2917 | | 5.2917 | ||
| Line 337: | Line 327: | ||
| Laquinquadyo | | Laquinquadyo | ||
| Ly<sup>20</sup>-5 | | Ly<sup>20</sup>-5 | ||
| | | | ||
| {{monzo| -29 -11 20 }} | | {{monzo| -29 -11 20 }} | ||
| 4.7693 | | 4.7693 | ||
| Line 365: | Line 355: | ||
| Sasa-quadyo | | Sasa-quadyo | ||
| ssy<sup>4</sup>2 | | ssy<sup>4</sup>2 | ||
| | | | ||
| {{monzo| 24 -21 4 }} | | {{monzo| 24 -21 4 }} | ||
| 4.1998 | | 4.1998 | ||
| Line 417: | Line 407: | ||
| Satritriru-aquadyo | | Satritriru-aquadyo | ||
| sr<sup>9</sup>y<sup>4</sup>-5 | | sr<sup>9</sup>y<sup>4</sup>-5 | ||
| | | | ||
| {{monzo| 16 0 4 -9 }} | | {{monzo| 16 0 4 -9 }} | ||
| 25.822 | | 25.822 | ||
| Line 438: | Line 428: | ||
| Lasepru-aquadbiyo | | Lasepru-aquadbiyo | ||
| Lr<sup>7</sup>y<sup>8</sup>-6 | | Lr<sup>7</sup>y<sup>8</sup>-6 | ||
| | | | ||
| {{monzo| -10 7 8 -7 }} | | {{monzo| -10 7 8 -7 }} | ||
| 22.413 | | 22.413 | ||
| Line 459: | Line 449: | ||
| Satritrizo-agugu | | Satritrizo-agugu | ||
| sz<sup>9</sup>gg6 | | sz<sup>9</sup>gg6 | ||
| | | | ||
| {{monzo| 0 -13 -2 9 }} | | {{monzo| 0 -13 -2 9 }} | ||
| 21.391 | | 21.391 | ||
| Line 473: | Line 463: | ||
| Laruquingu | | Laruquingu | ||
| Lrg<sup>5</sup>1 | | Lrg<sup>5</sup>1 | ||
| | | | ||
| {{monzo| -3 11 -5 -1 }} | | {{monzo| -3 11 -5 -1 }} | ||
| 21.111 | | 21.111 | ||
| Line 487: | Line 477: | ||
| Sepruyo | | Sepruyo | ||
| r<sup>7</sup>y<sup>7</sup>-5 | | r<sup>7</sup>y<sup>7</sup>-5 | ||
| | | | ||
| {{monzo| 5 -1 7 -7 }} | | {{monzo| 5 -1 7 -7 }} | ||
| 20.460 | | 20.460 | ||
| Line 494: | Line 484: | ||
| Saquadzogu | | Saquadzogu | ||
| sz<sup>4</sup>g<sup>4</sup>4 | | sz<sup>4</sup>g<sup>4</sup>4 | ||
| | | | ||
| {{monzo| 6 -5 -4 4 }} | | {{monzo| 6 -5 -4 4 }} | ||
| 20.274 | | 20.274 | ||
| Line 501: | Line 491: | ||
| Sazoyoyo | | Sazoyoyo | ||
| szyy2 | | szyy2 | ||
| | | | ||
| {{monzo| 10 -11 2 1 }} | | {{monzo| 10 -11 2 1 }} | ||
| 19.948 | | 19.948 | ||
| Line 515: | Line 505: | ||
| Sarutribigu | | Sarutribigu | ||
| srg<sup>6</sup>1 | | srg<sup>6</sup>1 | ||
| | | | ||
| {{monzo| 12 3 -6 -1 }} | | {{monzo| 12 3 -6 -1 }} | ||
| 19.157 | | 19.157 | ||
| Line 543: | Line 533: | ||
| Laruquadbiyo | | Laruquadbiyo | ||
| Lry<sup>8</sup>-3 | | Lry<sup>8</sup>-3 | ||
| | | | ||
| {{monzo| -11 -3 8 -1 }} | | {{monzo| -11 -3 8 -1 }} | ||
| 15.819 | | 15.819 | ||
| Line 550: | Line 540: | ||
| Quinruyoyo | | Quinruyoyo | ||
| r<sup>5</sup>y<sup>10</sup>-5 | | r<sup>5</sup>y<sup>10</sup>-5 | ||
| | | | ||
| {{monzo| -6 -2 10 -5 }} | | {{monzo| -6 -2 10 -5 }} | ||
| 15.098 | | 15.098 | ||
| Line 599: | Line 589: | ||
| Sepru-ayo | | Sepru-ayo | ||
| r<sup>7</sup>y-4 | | r<sup>7</sup>y-4 | ||
| | | | ||
| {{monzo| 11 4 1 -7 }} | | {{monzo| 11 4 1 -7 }} | ||
| 12.352 | | 12.352 | ||
| Line 613: | Line 603: | ||
| 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 | ||
| | | | ||
| {{monzo| 22 -32 16 -3 }} | | {{monzo| 22 -32 16 -3 }} | ||
| 11.982 | | 11.982 | ||
| Line 620: | Line 610: | ||
| Sazoquadgu | | Sazoquadgu | ||
| szg<sup>4</sup>3 | | szg<sup>4</sup>3 | ||
| | | | ||
| {{monzo| 16 -6 -4 1 }} | | {{monzo| 16 -6 -4 1 }} | ||
| 11.841 | | 11.841 | ||
| Line 641: | Line 631: | ||
| Sasasepru | | Sasasepru | ||
| ssr<sup>7</sup>-3 | | ssr<sup>7</sup>-3 | ||
| | | | ||
| {{monzo| 26 -4 0 -7 }} | | {{monzo| 26 -4 0 -7 }} | ||
| 10.399 | | 10.399 | ||
| Line 655: | Line 645: | ||
| Lasepzo-agugu | | Lasepzo-agugu | ||
| Lz<sup>7</sup>gg4 | | Lz<sup>7</sup>gg4 | ||
| | | | ||
| {{monzo| -15 0 -2 7 }} | | {{monzo| -15 0 -2 7 }} | ||
| 9.1539 | | 9.1539 | ||
| Line 669: | Line 659: | ||
| Labizogugu | | Labizogugu | ||
| Lzzg<sup>4</sup>2 | | Lzzg<sup>4</sup>2 | ||
| | | | ||
| {{monzo| -9 8 -4 2 }} | | {{monzo| -9 8 -4 2 }} | ||
| 8.0370 | | 8.0370 | ||
| Line 683: | Line 673: | ||
| Quadruyoyo | | Quadruyoyo | ||
| r<sup>4</sup>y<sup>8</sup>-4 | | r<sup>4</sup>y<sup>8</sup>-4 | ||
| | | | ||
| {{monzo| -1 -4 8 -4 }} | | {{monzo| -1 -4 8 -4 }} | ||
| 7.3861 | | 7.3861 | ||
| Line 697: | Line 687: | ||
| Sasepzo-atrigu | | Sasepzo-atrigu | ||
| sz<sup>7</sup>g<sup>3</sup>5 | | sz<sup>7</sup>g<sup>3</sup>5 | ||
| | | | ||
| {{monzo| 0 -8 -3 7 }} | | {{monzo| 0 -8 -3 7 }} | ||
| 7.2002 | | 7.2002 | ||
| Line 711: | Line 701: | ||
| Saquadzo-atriyo | | Saquadzo-atriyo | ||
| Sz<sup>4</sup>y<sup>3</sup>3 | | Sz<sup>4</sup>y<sup>3</sup>3 | ||
| | | | ||
| {{monzo|4 -14 3 4}} | | {{monzo|4 -14 3 4}} | ||
| 6.8748 | | 6.8748 | ||
| Line 718: | Line 708: | ||
| Tribizo-asepgu | | Tribizo-asepgu | ||
| z<sup>6</sup>g<sup>7</sup>5 | | z<sup>6</sup>g<sup>7</sup>5 | ||
| | | | ||
| {{monzo|1 -1 -7 6}} | | {{monzo|1 -1 -7 6}} | ||
| 6.8044 | | 6.8044 | ||
| Line 725: | Line 715: | ||
| Latribiru | | Latribiru | ||
| Lr<sup>6</sup>-4 | | Lr<sup>6</sup>-4 | ||
| | | | ||
| {{monzo| 1 10 0 -6 }} | | {{monzo| 1 10 0 -6 }} | ||
| 6.5946 | | 6.5946 | ||
| Line 753: | Line 743: | ||
| Zotritrigu | | Zotritrigu | ||
| zg<sup>9</sup>3 | | zg<sup>9</sup>3 | ||
| | | | ||
| {{monzo| 7 7 -9 1 }} | | {{monzo| 7 7 -9 1 }} | ||
| 5.6875 | | 5.6875 | ||
| Line 760: | Line 750: | ||
| Saquinbizogu | | Saquinbizogu | ||
| sz<sup>10</sup>g<sup>10</sup>8 | | sz<sup>10</sup>g<sup>10</sup>8 | ||
| | | | ||
| {{monzo| 11 -10 -10 10 }} | | {{monzo| 11 -10 -10 10 }} | ||
| 5.5719 | | 5.5719 | ||
| Line 774: | Line 764: | ||
| Saquadru-atriyo | | Saquadru-atriyo | ||
| sr<sup>4</sup>y<sup>3</sup>-3 | | sr<sup>4</sup>y<sup>3</sup>-3 | ||
| | | | ||
| {{monzo| 15 -5 3 -5 }} | | {{monzo| 15 -5 3 -5 }} | ||
| 5.0366 | | 5.0366 | ||
| Line 781: | Line 771: | ||
| Satribiru-agu | | Satribiru-agu | ||
| sr<sup>6</sup>g-3 | | sr<sup>6</sup>g-3 | ||
| | | | ||
| {{monzo| 16 2 -1 -6 }} | | {{monzo| 16 2 -1 -6 }} | ||
| 4.6408 | | 4.6408 | ||
| Line 788: | Line 778: | ||
| Sasaru | | Sasaru | ||
| ssr2 | | ssr2 | ||
| | | | ||
| {{monzo| 25 -14 0 -1 }} | | {{monzo| 25 -14 0 -1 }} | ||
| 3.8041 | | 3.8041 | ||
| Line 795: | Line 785: | ||
| Latritrizo-ayo | | Latritrizo-ayo | ||
| Lz<sup>9</sup>y4 | | Lz<sup>9</sup>y4 | ||
| | | | ||
| {{monzo| -26 -1 1 9 }} | | {{monzo| -26 -1 1 9 }} | ||
| 3.7919 | | 3.7919 | ||
| Line 802: | Line 792: | ||
| Sazoquinbigu | | Sazoquinbigu | ||
| szg<sup>10</sup>4 | | szg<sup>10</sup>4 | ||
| | | | ||
| {{monzo| 22 -1 -10 1 }} | | {{monzo| 22 -1 -10 1 }} | ||
| 3.7338 | | 3.7338 | ||
| Line 819: | Line 809: | ||
| Saquinlu-ayo | | Saquinlu-ayo | ||
| s1u<sup>5</sup>y2 | | s1u<sup>5</sup>y2 | ||
| | | | ||
| {{monzo| 15 0 1 0 -5 }} | | {{monzo| 15 0 1 0 -5 }} | ||
| 29.724 | | 29.724 | ||
| Line 875: | Line 865: | ||
| Lalolo | | Lalolo | ||
| L1oo-2 | | L1oo-2 | ||
| | | | ||
| {{monzo| -18 7 0 0 2 }} | | {{monzo| -18 7 0 0 2 }} | ||
| 16.321 | | 16.321 | ||
| Line 910: | Line 900: | ||
| Laquadlo | | Laquadlo | ||
| L1o<sup>4</sup>-2 | | L1o<sup>4</sup>-2 | ||
| | | | ||
| {{monzo| -17 2 0 0 4 }} | | {{monzo| -17 2 0 0 4 }} | ||
| 9.1818 | | 9.1818 | ||
| Line 966: | Line 956: | ||
| Quadbilu | | Quadbilu | ||
| 1u<sup>8</sup>2 | | 1u<sup>8</sup>2 | ||
| | | | ||
| {{monzo| 15 8 0 0 -8 }} | | {{monzo| 15 8 0 0 -8 }} | ||
| 5.0965 | | 5.0965 | ||
| Line 1,151: | Line 1,141: | ||
| Laquinbitho | | Laquinbitho | ||
| L3o<sup>10</sup>2 | | L3o<sup>10</sup>2 | ||
| | | | ||
| {{monzo| -37 0 0 0 0 10 }} | | {{monzo| -37 0 0 0 0 10 }} | ||
| 5.2766 | | 5.2766 | ||
| Line 1,360: | Line 1,350: | ||
| Saquadnu | | Saquadnu | ||
| s19u<sup>4</sup>-2 | | s19u<sup>4</sup>-2 | ||
| | | | ||
| {{monzo| 17 0 0 0 0 0 0 -4 }} | | {{monzo| 17 0 0 0 0 0 0 -4 }} | ||
| 9.9479 | | 9.9479 | ||
| Line 1,407: | Line 1,397: | ||
|} | |} | ||
=== 23-limit commas === | |||
=== 29-limit commas === | |||
{| class="wikitable" | |||
|+ | |||
!Name(s) | |||
! colspan="2" |[[Color name]] | |||
!Ratio | |||
!Monzo | |||
!Cents | |||
|- | |||
|Classical mediant os Didymos’ and Archytas’ commas | |||
| | |||
| | |||
|145/143 | |||
|{{Monzo|0 0 1 0 -1 -1 0 0 0 1}} | |||
|24.045 | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|} | |||
<references /> | <references /> | ||
[[Category:Comma]] | [[Category:Comma]] | ||
[[Category:Small comma| ]] <!-- main article --> | [[Category:Small comma| ]] <!-- main article --> | ||
Revision as of 00:47, 6 November 2021
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 | Monzo | Cents | |
|---|---|---|---|---|
| 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 | [-19 12⟩ | 23.460 |
| 41-comma, counterpyth comma | Wa-41 | w-41 | [65 -41⟩ | 19.845 |
| 94-comma, garistearn comma | Wa-94 | w-94 | [149 -94⟩ | 16.230 |
| 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 | [-84 53⟩ | 3.6150 |
5-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| small diesis, magic comma | Laquinyo | Ly5-2 | 3125/3072 | [-10 -1 5⟩ | 29.614 |
| 11-15-comma, hendecatonic comma | Trisa-legu | s3g115 | [43 -11 -11⟩ | 29.044 | |
| minimal diesis, tetracot comma | Saquadyo | sy41 | 20000 / 19683 | [5 -9 4⟩ | 27.660 |
| semaja | Lalaneyo | LLy19-5 | [-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 | [19 10 -15⟩ | 24.844 | |
| maja | Saseyo | sy17-3 | [-3 -23 17⟩ | 22.368 | |
| satin comma | Quinbisa-triyo | s10y37 | [104 -70 3⟩ | 22.091 | |
| misneb | Quadla-quintriyo | L4y15-6 | [-57 14 15⟩ | 22.076 | |
| syntonic / Didymos / meantone comma | Gu | g1 | 81/80 | [-4 4 -1⟩ | 21.506 |
| maquila comma | Trisa-segu | s3g176 | [49 -6 -17⟩ | 20.937 | |
| diaschisma | Sagugu | sgg2 | 2048/2025 | [11 -4 -2⟩ | 19.553 |
| countermeantone comma | Quinquadgu | g204 | [10 23 -20⟩ | 18.691 | |
| ditonma | Lala-theyo | LLy13-4 | [-27 -2 13⟩ | 18.168 | |
| misty comma | Sasa-trigu | ssg33 | [26 -12 -3⟩ | 17.599 | |
| pental comma | Trila-quingu | L3g5-2 | [-28 25 -5⟩ | 17.306 | |
| undim comma | Trisa-quadgu | s3g44 | [41 -20 -4⟩ | 15.645 | |
| graviton, gravity comma | Lala-tribigu | LLg61 | [-13 17 -6⟩ | 15.353 | |
| majvam | Sasa-lebigu | ssg226 | [40 7 -22⟩ | 14.783 | |
| quartonic | Saleyo | sy11-2 | 390625000 / 387420489 | [3 -18 11⟩ | 14.261 |
| untritonic comma | Quadla-tritriyo | L4y9-5 | [-51 19 9⟩ | 13.968 | |
| medium semicomma, sensipent comma | Sepgu | g72 | 78732 / 78125 | [2 9 -7⟩ | 13.399 |
| tertiosec comma | Laquadtribiyo | L6y24-9 | [-89 21 24⟩ | 12.584 | |
| Würschmidt comma | Saquadbigu | sg83 | [17 1 -8⟩ | 11.445 | |
| counterhanson comma | Quinquinyo | y25-5 | [-20 -24 25⟩ | 10.923 | |
| semicomma, Fokker comma | Lasepyo | Ly7-3 | [-21 3 7⟩ | 10.061 | |
| escapade comma | Sasa-tritrigu | ssg94 | [32 -7 -9⟩ | 9.4916 | |
| kleisma, semicomma majeur | Tribiyo | y6-2 | 15625 / 15552 | [-6 -5 6⟩ | 8.1073 |
| qintosec comma | Quadsa-quinbigu | s4g105 | [47 -15 -10⟩ | 7.5378 | |
| 59-5-comma | [137 0 -59⟩ | 7.4909 | |||
| unidecma | Laquadtrigu | Lg122 | [-7 22 -12⟩ | 7.2455 | |
| mutt comma | Trila-septriyo | L3y21-6 | [-44 -3 21⟩ | 6.7230 | |
| amity comma | Saquinyo | sy51 | [9 -13 5⟩ | 6.1536 | |
| parakleisma | Thegu | g133 | [8 14 -13⟩ | 5.2917 | |
| gammic comma | Laquinquadyo | Ly20-5 | [-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 | |
| 56-syntonic comma | Quadtribila-sepquadbigu | L24g56-8 | [-225 224 -56⟩ | 4.3522 | |
| vulture comma | Sasa-quadyo | ssy42 | [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 | |
|---|---|---|---|---|---|
| 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 | Birugugu | rrg41 | 31104 / 30625 | [7 5 -4 -2⟩ | 26.868 |
| slither | Satritriru-aquadyo | sr9y4-5 | [16 0 4 -9⟩ | 25.822 | |
| 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 | [-10 7 8 -7⟩ | 22.413 | |
| squalentine | Laquadzo-atrigu | Lz4g33 | 64827 / 64000 | [-9 3 -3 4⟩ | 22.227 |
| keema | Zotriyo | zy31 | 875 / 864 | [-5 -3 3 1⟩ | 21.902 |
| betelgeuse | Satritrizo-agugu | sz9gg6 | [0 -13 -2 9⟩ | 21.391 | |
| gariboh | Triru-aquinyo | r3y5-3 | 3125 / 3087 | [0 -2 5 -3⟩ | 21.181 |
| secanticornisma | Laruquingu | Lrg51 | [-3 11 -5 -1⟩ | 21.111 | |
| nuwell | Quadru-ayo | r4y-3 | 2430 / 2401 | [1 5 1 -4⟩ | 20.785 |
| mermisma | Sepruyo | r7y7-5 | [5 -1 7 -7⟩ | 20.460 | |
| negricorn, small quadruple bluish | Saquadzogu | sz4g44 | [6 -5 -4 4⟩ | 20.274 | |
| tolerma | Sazoyoyo | szyy2 | [10 -11 2 1⟩ | 19.948 | |
| 25-36/35-comma, icosipentatonic comma | Quinquinrugu | r25g25-8 | [49 50 -25 -25⟩ | 19.260 | |
| valenwuer | Sarutribigu | srg61 | [12 3 -6 -1⟩ | 19.157 | |
| buzzardisma | Saquadru | sr4-2 | 65536 / 64827 | [16 -3 0 -4⟩ | 18.831 |
| Huntian 21-cycle comma | Quadbisa-sepquadru | s8r28-8 | [123 -28 0 -28⟩ | 18.135 | |
| mirwomo | Labizoyo | Lzzyy1 | 33075 / 32768 | [-15 3 2 2⟩ | 16.144 |
| catasyc | Laruquadbiyo | Lry8-3 | [-11 -3 8 -1⟩ | 15.819 | |
| compass comma | Quinruyoyo | r5y10-5 | [-6 -2 10 -5⟩ | 15.098 | |
| trimyna | Quinzogu | z5g54 | 50421 / 50000 | [-4 1 -5 5⟩ | 14.516 |
| sensamagic | Zozoyo | zzy2 | 245 / 243 | [0 -5 1 2⟩ | 14.191 |
| septimal semicomma, starling comma | Zotrigu | zg32 | 126 / 125 | [1 2 -3 1⟩ | 13.795 |
| slendro 34-comma | Quinla-sequadzo | L5z6828 | [-137 -34 0 68⟩ | 13.692 | |
| octagar | Rurutriyo | rry3-2 | 4000 / 3969 | [5 -4 3 -2⟩ | 13.469 |
| orwellisma, orwell comma | Triru-agu | r3g-2 | 1728 / 1715 | [6 3 -1 -3⟩ | 13.074 |
| mynaslender comma | Sepru-ayo | r7y-4 | [11 4 1 -7⟩ | 12.352 | |
| 35-7/5-comma | Sepquinruyo | r35y35-22 | [17 0 35 -35⟩ | 12.073 | |
| chromatisma | Trisa-triru-aquadquadyo | s3r3y16-3 | [22 -32 16 -3⟩ | 11.982 | |
| mistisma | Sazoquadgu | szg43 | [16 -6 -4 1⟩ | 11.841 | |
| 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 | [26 -4 0 -7⟩ | 10.399 | |
| 31-35-comma | Tritrila-thiwezoyo | L9z31y314 | [-159 0 31 31⟩ | 9.3282 | |
| quince | Lasepzo-agugu | Lz7gg4 | [-15 0 -2 7⟩ | 9.1539 | |
| gamelisma | Latrizo | Lz32 | 1029 / 1024 | [-10 1 0 3⟩ | 8.4327 |
| varunisma | Labizogugu | Lzzg42 | [-9 8 -4 2⟩ | 8.0370 | |
| septimal kleisma, marvel comma | Ruyoyo | ryy-2 | 225 / 224 | [-5 2 2 -1⟩ | 7.7115 |
| dimcomp | Quadruyoyo | r4y8-4 | [-1 -4 8 -4⟩ | 7.3861 | |
| cataharry | Labirugu | Lrrgg-2 | 19683 / 19600 | [-4 9 -2 -2⟩ | 7.3158 |
| procyon comma | Sasepzo-atrigu | sz7g35 | [0 -8 -3 7⟩ | 7.2002 | |
| mirkwai | Quinru-aquadyo | r5y4-4 | 16875 / 16807 | [0 3 4 -5⟩ | 6.9903 |
| canousma | Saquadzo-atriyo | Sz4y33 | [4 -14 3 4⟩ | 6.8748 | |
| triwellisma | Tribizo-asepgu | z6g75 | [1 -1 -7 6⟩ | 6.8044 | |
| stearnsma | Latribiru | Lr6-4 | [1 10 0 -6⟩ | 6.5946 | |
| hemimage | Satrizo-agu | sz3g3 | 10976 / 10935 | [5 -7 -1 3⟩ | 6.4790 |
| hemimean | Zozoquingu | zzg53 | 3136 / 3125 | [6 0 -5 2⟩ | 6.0832 |
| hemifamity, 5/7-kleisma | Saruyo | sry1 | 5120 / 5103 | [10 -6 1 -1⟩ | 5.7578 |
| parkleiness | Zotritrigu | zg93 | [7 7 -9 1⟩ | 5.6875 | |
| linus comma | Saquinbizogu | sz10g108 | [11 -10 -10 10⟩ | 5.5719 | |
| porwell | Sarurutrigu | srrg31 | 6144 / 6125 | [11 1 -3 -2⟩ | 5.3620 |
| hemfiness comma | Saquadru-atriyo | sr4y3-3 | [15 -5 3 -5⟩ | 5.0366 | |
| hewuermera | Satribiru-agu | sr6g-3 | [16 2 -1 -6⟩ | 4.6408 | |
| garischisma, septimal schisma | Sasaru | ssr2 | [25 -14 0 -1⟩ | 3.8041 | |
| wadisma | Latritrizo-ayo | Lz9y4 | [-26 -1 1 9⟩ | 3.7919 | |
| quasiorwellisma | Sazoquinbigu | szg104 | [22 -1 -10 1⟩ | 3.7338 | |
11-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| thuja comma | Saquinlu-ayo | s1u5y2 | [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 |
| cassacot | 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 | [-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 | [-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 | [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 |
| tridecimal neutral 3rd 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 | 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 |
| 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 |
| kestrel comma | Thuthuloru | 3uu1or-2 | 1188/1183 | [2 3 0 -1 1 -2⟩ | 7.3017 |
| marveltwin | Thoyoyo | 3oyy1 | 325/324 | [-2 -4 2 0 0 1⟩ | 5.3351 |
| Hunt 13-cycle comma | Laquinbitho | L3o102 | [-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 | 17u3u31 | 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 |
| suruyo comma | 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 |
| 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 |
| septendecimal integer cents comma | Soso | 17oo2 | 289/288 | [-5 -2 0 0 0 0 2⟩ | 6.0008 |
| 17-ripple |
[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 | [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 |
23-limit commas
29-limit commas
| Name(s) | Color name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Classical mediant os Didymos’ and Archytas’ commas | 145/143 | [0 0 1 0 -1 -1 0 0 0 1⟩ | 24.045 | ||