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== Definition ==
== Definition ==
A '''comma''' is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1 (0 [[cent]]s) and not a power such as a square or cube of any other interval, and generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is ''[[tempering_out|tempered out]]'', which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between [[10/9]] and [[9/8]], as well as [[81/64]] and [[5/4]], is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in [[cent]]s.
A '''comma''' is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1 (0 [[cent]]s) and not a power such as a square or cube of any other interval, and generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is ''[[tempering_out|tempered out]]'', which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between [[10/9]] and [[9/8]], as well as [[81/64]] and [[5/4]], is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in [[cent]]s. Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out.


For commas over 100 cents in size, see [[Large commas]]; and for commas under 3.5 cents in size, see [[Unnoticeable commas]]
For commas over 100 cents in size, see [[Large commas]]; and for commas under 3.5 cents in size, see [[Unnoticeable commas]]
Line 91: Line 91:
|-
|-
| Twenty-two thirds limma
| Twenty-two thirds limma
|
|trila-lebiyo
| L<sup>3</sup>y<sup>22</sup>-6
| L<sup>3</sup>y<sup>22</sup>-6
| 2384185791015625 / 2251799813685248
| 2384185791015625 / 2251799813685248
Line 98: Line 98:
|-
|-
| sibbolet
| sibbolet
|
|quadla-quinquinyo
| L<sup>4</sup>y<sup>25</sup>-7
| L<sup>4</sup>y<sup>25</sup>-7
| 298023223876953125 / 288230376151711744
| 298023223876953125 / 288230376151711744
Line 105: Line 105:
|-
|-
| Hunt 5-cycle comma
| Hunt 5-cycle comma
|
|quadla-sepquadyo
| L<sup>4</sup>y<sup>28</sup>-8
| L<sup>4</sup>y<sup>28</sup>-8
| 37252902984619140625 / 36893488147419103232
| 37252902984619140625 / 36893488147419103232
Line 140: Line 140:
|-
|-
| 10-15-comma
| 10-15-comma
|
|trila-quinbiyo
| L<sup>3</sup>y<sup>10</sup>-4
| L<sup>3</sup>y<sup>10</sup>-4
| 576650390625 / 549755813888
| 576650390625 / 549755813888
Line 147: Line 147:
|-
|-
| 11-15-comma
| 11-15-comma
|
|trisa-legu
| s<sup>3</sup>g<sup>11</sup>5
| s<sup>3</sup>g<sup>11</sup>5
| 8796093022208 / 8649755859375
| 8796093022208 / 8649755859375
Line 202: Line 202:
| 91.578
| 91.578
|-
|-
| double large deep yellow comma
| Double large yoyo negative 2nd
|
|lala-yoyo
| LLyy-2
| LLyy-2
| 4428675 / 4194304
| 4428675 / 4194304
Line 210: Line 210:
|-
|-
| major chroma, major limma, pelogic comma
| major chroma, major limma, pelogic comma
|
|layo-unison
| Ly1
| Ly1
| [[135/128|135 / 128]]
| [[135/128|135 / 128]]
Line 216: Line 216:
| 92.179
| 92.179
|-
|-
| double small green comma
| double small gu 3rd
|
|sasagu
| ssg3
| ssg3
| 8388608 / 7971615
| 8388608 / 7971615
Line 224: Line 224:
|-
|-
| ripple
| ripple
| quintgu 2nd
| quingu
| g<sup>5</sup>2
| g<sup>5</sup>2
| 6561 / 6250
| 6561 / 6250
Line 231: Line 231:
|-
|-
| doublewide
| doublewide
|
|quadbiyo
| y<sup>8</sup>-2
| y<sup>8</sup>-2
| 390625 / 373248
| 390625 / 373248
Line 238: Line 238:
|-
|-
| sevond
| sevond
|
|sasepyo
| sy<sup>7</sup>1
| sy<sup>7</sup>1
| 5000000 / 4782969
| 5000000 / 4782969
Line 245: Line 245:
|-
|-
| nusecond
| nusecond
|
|legu
| g<sup>11</sup>3
| g<sup>11</sup>3
| 51018336 / 48828125
| 51018336 / 48828125
Line 252: Line 252:
|-
|-
| sentinel
| sentinel
|
|trila-quadyo
| L<sup>3</sup>y<sup>4</sup>-3
| L<sup>3</sup>y<sup>4</sup>-3
| 8968066875 / 8589934592
| 8968066875 / 8589934592
Line 258: Line 258:
| 74.580
| 74.580
|-
|-
| large triple yellow comma
| large triyo negative 2nd
|
|latriyo
| Ly<sup>3</sup>-2
| Ly<sup>3</sup>-2
| 273375 / 262144
| 273375 / 262144
Line 266: Line 266:
|-
|-
| chromatic semitone
| chromatic semitone
| yoyo semitone
| yoyo
| yy1
| yy1
| [[25/24|25 / 24]]
| [[25/24|25 / 24]]
Line 273: Line 273:
|-
|-
| superpyth, grave minor second
| superpyth, grave minor second
|
|sayo
| sy2
| sy2
| 20480 / 19683
| 20480 / 19683
Line 280: Line 280:
|-
|-
| major diesis, diminished comma
| major diesis, diminished comma
| quadgu 2nd
| quadgu
| g<sup>4</sup>2
| g<sup>4</sup>2
| [[648/625|648 / 625]]
| [[648/625|648 / 625]]
Line 287: Line 287:
|-
|-
| passion
| passion
| small quintgu 3rd
| saquingu
| sg<sup>5</sup>3
| sg<sup>5</sup>3
| 262144 / 253125
| 262144 / 253125
Line 294: Line 294:
|-
|-
| shibboleth
| shibboleth
|
|tritriyo
| y<sup>9</sup>-2
| y<sup>9</sup>-2
| 1953125 / 1889568
| 1953125 / 1889568
Line 301: Line 301:
|-
|-
| mynic
| mynic
|
|quinbigu
| g<sup>10</sup>3  
| g<sup>10</sup>3  
| 10077696 / 9765625
| 10077696 / 9765625
Line 308: Line 308:
|-
|-
| tritonic
| tritonic
|
|lalaquinyo
| LLy<sup>5</sup>-3
| LLy<sup>5</sup>-3
| 553584375 / 536870912
| 553584375 / 536870912
Line 315: Line 315:
|-
|-
| [[negri comma]], double augmentation diesis
| [[negri comma]], double augmentation diesis
|
|laquadyo
| Ly<sup>4</sup>-2  
| Ly<sup>4</sup>-2  
| 16875 / 16384
| 16875 / 16384
Line 322: Line 322:
|-
|-
| maximal diesis, porcupine
| maximal diesis, porcupine
| triple-yo comma
| triyo
| y<sup>3</sup>1
| y<sup>3</sup>1
| [[250/243|250 / 243]]
| [[250/243|250 / 243]]
Line 329: Line 329:
|-
|-
| immunity
| immunity
| yoyo comma
| sasayoyo
| ssyy2
| ssyy2
| 1638400 / 1594323
| 1638400 / 1594323
Line 336: Line 336:
|-
|-
| double large green comma
| double large green comma
|  
| lalagu
| LLg-2
| LLg-2
| 43046721 / 41943040
| 43046721 / 41943040
Line 343: Line 343:
|-
|-
| diesis, augmented comma
| diesis, augmented comma
| triple-gu comma
| trigu
| g<sup>3</sup>2
| g<sup>3</sup>2
| [[128/125|128 / 125]]
| [[128/125|128 / 125]]
Line 350: Line 350:
|-
|-
| wizard
| wizard
|
|lala-quadtriyo
| LLy<sup>12</sup>-4
| LLy<sup>12</sup>-4
| 2197265625 / 2147483648
| 2197265625 / 2147483648
Line 357: Line 357:
|-
|-
| sycamore
| sycamore
|
|laleyo
| Ly<sup>11</sup>-3
| Ly<sup>11</sup>-3
| 48828125 / 47775744
| 48828125 / 47775744
Line 364: Line 364:
|-
|-
| fifive
| fifive
|
|saquinbiyo
| sy<sup>10</sup>-2
| sy<sup>10</sup>-2
| 9765625 / 9565938
| 9765625 / 9565938
Line 371: Line 371:
|-
|-
| unicorn
| unicorn
|
|laquadbigu
| Lg<sup>8</sup>2
| Lg<sup>8</sup>2
| 1594323 / 1562500
| 1594323 / 1562500
Line 378: Line 378:
|-
|-
| valentine comma
| valentine comma
|
|satritrigu
| sg<sup>9</sup>3
| sg<sup>9</sup>3
| 1990656 / 1953125
| 1990656 / 1953125
Line 385: Line 385:
|-
|-
| [[ampersand]], Ampersand's comma
| [[ampersand]], Ampersand's comma
|
|lala-tribiyo
| LLy<sup>6</sup>-3
| LLy<sup>6</sup>-3
| 34171875 / 33554432
| 34171875 / 33554432
Line 392: Line 392:
|-
|-
| mabila comma
| mabila comma
|
|sasa-quinbigu
| ssg<sup>10</sup>4
| ssg<sup>10</sup>4
| 268435456 / 263671875
| 268435456 / 263671875
Line 399: Line 399:
|-
|-
| small diesis, [[magic comma]]
| small diesis, [[magic comma]]
| quintyo comma
| quinyo
| Ly<sup>5</sup>-2
| Ly<sup>5</sup>-2
| 3125 / 3072
| 3125 / 3072
Line 406: Line 406:
|-
|-
| minimal diesis, [[tetracot comma]]
| minimal diesis, [[tetracot comma]]
| quadyo comma
| saquadyo
| sy<sup>4</sup>1
| sy<sup>4</sup>1
| 20000 / 19683
| 20000 / 19683
Line 413: Line 413:
|-
|-
| quanic comma
| quanic comma
|
|sepsa-quinyo
| s<sup>7</sup>y<sup>5</sup>5
| s<sup>7</sup>y<sup>5</sup>5
|  
|  
Line 420: Line 420:
|-
|-
| roda
| roda
|
|sasa-triyo
| ssy<sup>3</sup>2
| ssy<sup>3</sup>2
| 131072000 / 129140163
| 131072000 / 129140163
Line 427: Line 427:
|-
|-
| [[Trisedodge family|trisedodge comma]]
| [[Trisedodge family|trisedodge comma]]
|
|saquintrigu
| sg<sup>15</sup>4
| sg<sup>15</sup>4
| 30958682112 / 30517578125
| 30958682112 / 30517578125
Line 434: Line 434:
|-
|-
| maja
| maja
|
|saseyo
| sy<sup>17</sup>-3
| sy<sup>17</sup>-3
| 762939453125 / 753145430616
| 762939453125 / 753145430616
Line 441: Line 441:
|-
|-
| syntonic / Didymos / meantone comma
| syntonic / Didymos / meantone comma
| gu comma
| gu
| g1
| g1
| [[81/80|81 / 80]]
| [[81/80|81 / 80]]
Line 448: Line 448:
|-
|-
| [[Maquila family|maquila comma]]
| [[Maquila family|maquila comma]]
|
|trisa-segu
| s<sup>3</sup>g<sup>17</sup>6
| s<sup>3</sup>g<sup>17</sup>6
| 562949953421312 / 556182861328125
| 562949953421312 / 556182861328125
Line 455: Line 455:
|-
|-
| [[diaschisma]]
| [[diaschisma]]
| gugu comma
| sagugu
| sgg2
| sgg2
| 2048 / 2025
| 2048 / 2025
Line 462: Line 462:
|-
|-
| ditonma
| ditonma
|
|lala-theyo
| LLy<sup>13</sup>-4
| LLy<sup>13</sup>-4
| 1220703125 / 1207959552
| 1220703125 / 1207959552
Line 469: Line 469:
|-
|-
| [[misty comma]]
| [[misty comma]]
|
|sasa-trigu
| ssg<sup>3</sup>3
| ssg<sup>3</sup>3
| 67108864 / 66430125
| 67108864 / 66430125
Line 476: Line 476:
|-
|-
| [[Pental family|pental comma]]
| [[Pental family|pental comma]]
|
|trila-quingu
| L<sup>3</sup>g<sup>5</sup>-2
| L<sup>3</sup>g<sup>5</sup>-2
| 847288609443 / 838860800000
| 847288609443 / 838860800000
Line 483: Line 483:
|-
|-
| undim comma
| undim comma
|
|trisa-quadgu
| s<sup>3</sup>g<sup>4</sup>4
| s<sup>3</sup>g<sup>4</sup>4
| 2199023255552 / 2179240250625
| 2199023255552 / 2179240250625
Line 490: Line 490:
|-
|-
| [[graviton]], [[Gravity family|gravity]] comma
| [[graviton]], [[Gravity family|gravity]] comma
|
|lala-tribigu
| LLg<sup>6</sup>1
| LLg<sup>6</sup>1
| 129140163 / 128000000
| 129140163 / 128000000
Line 497: Line 497:
|-
|-
| majvam
| majvam
|
|sasa-lebigu
| ssg<sup>22</sup>6
| ssg<sup>22</sup>6
|  
|  
Line 504: Line 504:
|-
|-
| quartonic
| quartonic
|
|saleyo
| sy<sup>11</sup>-2
| sy<sup>11</sup>-2
| 390625000 / 387420489
| 390625000 / 387420489
Line 511: Line 511:
|-
|-
| medium semicomma, [[sensipent comma]]
| medium semicomma, [[sensipent comma]]
|
|sepgu
| g<sup>7</sup>2
| g<sup>7</sup>2
| 78732 / 78125
| 78732 / 78125
Line 518: Line 518:
|-
|-
| [[Würschmidt comma]]
| [[Würschmidt comma]]
|
|saquabigu
| sg<sup>8</sup>3
| sg<sup>8</sup>3
| 393216 / 390625
| 393216 / 390625
Line 525: Line 525:
|-
|-
| [[semicomma]], Fokker comma
| [[semicomma]], Fokker comma
|
|lasepyo
| Ly<sup>7</sup>-3
| Ly<sup>7</sup>-3
| 2109375 / 2097152
| 2109375 / 2097152
Line 532: Line 532:
|-
|-
| [[escapade comma]]
| [[escapade comma]]
|
|sasa-tritrigu
| ssg<sup>9</sup>4
| ssg<sup>9</sup>4
| 4294967296 / 4271484375
| 4294967296 / 4271484375
Line 539: Line 539:
|-
|-
| [[kleisma]], semicomma majeur
| [[kleisma]], semicomma majeur
| sixfold yo comma
| tribiyo
| y<sup>6</sup>-2
| y<sup>6</sup>-2
| 15625 / 15552
| 15625 / 15552
Line 546: Line 546:
|-
|-
| [[Qintosec family|qintosec comma]]
| [[Qintosec family|qintosec comma]]
|
|quadsa-quinbigu
| s<sup>4</sup>g<sup>10</sup>5
| s<sup>4</sup>g<sup>10</sup>5
| 140737488355328 / 140126044921875
| 140737488355328 / 140126044921875
Line 553: Line 553:
|-
|-
| unidecma
| unidecma
|
|laquadtrigu
| Lg<sup>12</sup>2
| Lg<sup>12</sup>2
| 31381059609 / 31250000000
| 31381059609 / 31250000000
Line 560: Line 560:
|-
|-
| [[mutt comma]]
| [[mutt comma]]
|
|trila-septriyo
| L<sup>3</sup>y<sup>21</sup>-6
| L<sup>3</sup>y<sup>21</sup>-6
| 476837158203125 / 474989023199232
| 476837158203125 / 474989023199232
Line 567: Line 567:
|-
|-
| [[amity comma]]
| [[amity comma]]
|
|saquinyo
| sy<sup>5</sup>1
| sy<sup>5</sup>1
| 1600000 / 1594323
| 1600000 / 1594323
Line 574: Line 574:
|-
|-
| [[parakleisma]]
| [[parakleisma]]
|
|thegu
| g<sup>13</sup>3
| g<sup>13</sup>3
| 1224440064 / 1220703125
| 1224440064 / 1220703125
Line 581: Line 581:
|-
|-
| gammic comma
| gammic comma
|
|laquinquadyo
| Ly<sup>20</sup>-5
| Ly<sup>20</sup>-5
| 95367431640625 / 95105071448064
| 95367431640625 / 95105071448064
Line 588: Line 588:
|-
|-
| [[vulture comma]]
| [[vulture comma]]
|
|sasa-quadyo
| ssy<sup>4</sup>2
| ssy<sup>4</sup>2
| 10485760000 / 10460353203
| 10485760000 / 10460353203
Line 595: Line 595:
|-
|-
| lafa comma
| lafa comma
|
|tribisa-quatrigu
| s<sup>6</sup>g<sup>12</sup>7
| s<sup>6</sup>g<sup>12</sup>7
|
|
Line 602: Line 602:
|-
|-
| 23-3/5-comma
| 23-3/5-comma
|
|twenty-thegu
| g<sup>23</sup>5
| g<sup>23</sup>5
| 12339534735212544 / 11920928955078125
| 12339534735212544 / 11920928955078125
Line 609: Line 609:
|-
|-
| 34-3/5-comma
| 34-3/5-comma
|
|sebiyo
| y<sup>34</sup>3
| y<sup>34</sup>3
|  
|  
Line 616: Line 616:
|-
|-
| 53-3/5-comma
| 53-3/5-comma
|
|fifty-theyo
| y<sup>53</sup>7
| y<sup>53</sup>7
|  
|  
Line 633: Line 633:
|-
|-
| Archytas' 1/3-tone
| Archytas' 1/3-tone
| zo 2nd
| zo
| z2
| z2
| 28 / 27
| 28 / 27
Line 640: Line 640:
|-
|-
| minor semitone
| minor semitone
| zogu 2nd
| zogu
| zg2
| zg2
| 21 / 20
| 21 / 20
Line 647: Line 647:
|-
|-
| hexadecatone comma, 16-7-comma
| hexadecatone comma, 16-7-comma
|
|sasa-quaquadru
|
|ssr<sup>16</sup>-6
| 35184372088832 / 33232930569601
| 35184372088832 / 33232930569601
| {{Monzo| 45 0 0 -16 }}
| {{Monzo| 45 0 0 -16 }}
Line 674: Line 674:
| 33.603
| 33.603
|-
|-
|
|Laruru negative 2nd
| large ruru negative 2nd
| laruru
| Lrr-2
| Lrr-2
| 6561 / 6272
| 6561 / 6272
Line 745: Line 745:
|-
|-
| 5-21-comma
| 5-21-comma
| quintru comma
| saquinru
| sr<sup>5</sup>-2
| sr<sup>5</sup>-2
| 4194304 / 4084101
| 4194304 / 4084101
Line 780: Line 780:
|-
|-
| 8-35-comma
| 8-35-comma
|
|lala-quabizoyo
| LLz<sup>8</sup>y<sup>8</sup>2
| LLz<sup>8</sup>y<sup>8</sup>2
| 2251875390625 / 2199023255552
| 2251875390625 / 2199023255552
Line 829: Line 829:
|-
|-
| greenwoodma
| greenwoodma
|
|ruruyo
| rry-2
| rry-2
| 405 / 392
| 405 / 392
Line 836: Line 836:
|-
|-
| Harrison's comma
| Harrison's comma
|
|laru
| Lr-2
| Lr-2
| [[59049/57344|59049 / 57344]]
| [[59049/57344|59049 / 57344]]
Line 843: Line 843:
|-
|-
| keega
| keega
| triple-zogu comma
| trizogu
| z<sup>3</sup>g<sup>3</sup>3
| z<sup>3</sup>g<sup>3</sup>3
| 1029 / 1000
| 1029 / 1000
Line 850: Line 850:
|-
|-
| septimal quarter tone
| septimal quarter tone
| rugu comma
| rugu
| rg1
| rg1
| [[36/35|36 / 35]]
| [[36/35|36 / 35]]
Line 857: Line 857:
|-
|-
| quarter tone comma
| quarter tone comma
|
|quinquinrugu
|
|
|  
|  
Line 864: Line 864:
|-
|-
| cloudy
| cloudy
| quintzo comma
| laquinzo
| Lz<sup>5</sup>3
| Lz<sup>5</sup>3
| 16807 / 16384
| 16807 / 16384
Line 871: Line 871:
|-
|-
| Avicenna, Avicenna's enharmonic diesis
| Avicenna, Avicenna's enharmonic diesis
| zoyoyo comma
| lazoyoyo
| Lzyy1
| Lzyy1
| 525 / 512
| 525 / 512
Line 878: Line 878:
|-
|-
| slendro diesis
| slendro diesis
| zozo comma
| zozo
| zz2
| zz2
| [[49/48|49 / 48]]
| [[49/48|49 / 48]]
Line 899: Line 899:
|-
|-
| tritonic diesis, jubilisma
| tritonic diesis, jubilisma
| double-ruyo comma
| biruyo
| rryy-2
| rryy-2
| [[50/49|50 / 49]]
| [[50/49|50 / 49]]
Line 906: Line 906:
|-
|-
| eric
| eric
|
|sepru
| r<sup>7</sup>-4
| r<sup>7</sup>-4
| 839808 / 823543
| 839808 / 823543
Line 913: Line 913:
|-
|-
| senga
| senga
| triple-zo gugu comma
| trizoagugu
| z<sup>3</sup>gg3
| z<sup>3</sup>gg3
| 686 / 675
| 686 / 675
Line 920: Line 920:
|-
|-
| septimal / Archytas' comma, Leipziger Komma
| septimal / Archytas' comma, Leipziger Komma
| ru comma
| ru
| r1
| r1
| [[64/63|64 / 63]]
| [[64/63|64 / 63]]
Line 927: Line 927:
|-
|-
| blackjackisma
| blackjackisma
|
|lasepruaquabiyo
|
|Lr<sup>7</sup>y<sup>8</sup>-6
| 854296875 / 843308032
| 854296875 / 843308032
| {{Monzo| -10 7 8 -7 }}
| {{Monzo| -10 7 8 -7 }}
Line 934: Line 934:
|-
|-
| squalentine
| squalentine
|
|laquadzoatrigu
|
|Lz<sup>4</sup>g<sup>3</sup>3
| 64827 / 64000
| 64827 / 64000
| {{Monzo| -9 3 -3 4 }}
| {{Monzo| -9 3 -3 4 }}
Line 941: Line 941:
|-
|-
| keema
| keema
| zo-triple-yo comma
| zotriyo
| zy<sup>3</sup>1
| zy<sup>3</sup>1
| 875 / 864
| 875 / 864
Line 948: Line 948:
|-
|-
| gariboh
| gariboh
|
|triruaquinyo
| r<sup>3</sup>y<sup>5</sup>-3
| r<sup>3</sup>y<sup>5</sup>-3
| 3125 / 3087
| 3125 / 3087
Line 955: Line 955:
|-
|-
| nuwell
| nuwell
|
|quadruayo
| r<sup>4</sup>y-3
| r<sup>4</sup>y-3
| 2430 / 2401
| 2430 / 2401
Line 962: Line 962:
|-
|-
| tolerma
| tolerma
|
|sazoyoyo
| szyy2
| szyy2
| 179200 / 177147
| 179200 / 177147
Line 969: Line 969:
|-
|-
| mirwomo
| mirwomo
| double-zoyo comma
| labizoyo
| Lzzyy1
| Lzzyy1
| 33075 / 32768
| 33075 / 32768
Line 976: Line 976:
|-
|-
| trimyna
| trimyna
| quintzogu comma
| quinzogu
| z<sup>5</sup>g<sup>5</sup>4
| z<sup>5</sup>g<sup>5</sup>4
| 50421 / 50000
| 50421 / 50000
Line 983: Line 983:
|-
|-
| sensamagic
| sensamagic
| zozoyo comma
| zozoyo
| zzy2
| zzy2
| 245 / 243
| 245 / 243
Line 990: Line 990:
|-
|-
| septimal semicomma, starling comma
| septimal semicomma, starling comma
| zogugugu comma
| zotrigu
| zg<sup>3</sup>2
| zg<sup>3</sup>2
| [[126/125|126 / 125]]
| [[126/125|126 / 125]]
Line 997: Line 997:
|-
|-
| octagar
| octagar
| ruru-triple-yo comma
| rurutriyo
| rry<sup>3</sup>-2
| rry<sup>3</sup>-2
| 4000 / 3969
| 4000 / 3969
Line 1,004: Line 1,004:
|-
|-
| orwellisma, orwell comma
| orwellisma, orwell comma
| triple-ru gu comma
| triruagu
| r<sup>3</sup>g-2
| r<sup>3</sup>g-2
| 1728 / 1715
| 1728 / 1715
Line 1,011: Line 1,011:
|-
|-
| quince
| quince
|  
| lasepzoagugu
|
|Lz<sup>7</sup>gg4
| 823543 / 819200
| 823543 / 819200
| {{Monzo| -15 0 -2 7 }}
| {{Monzo| -15 0 -2 7 }}
Line 1,018: Line 1,018:
|-
|-
| gamelisma
| gamelisma
|
|latrizo
| Lz<sup>3</sup>2
| Lz<sup>3</sup>2
| 1029 / 1024
| 1029 / 1024
Line 1,025: Line 1,025:
|-
|-
| varunisma
| varunisma
| zozoquadgu comma
| labizogugu
| Lzzg<sup>4</sup>2
| Lzzg<sup>4</sup>2
| 321489 / 320000
| 321489 / 320000
Line 1,032: Line 1,032:
|-
|-
| septimal kleisma, marvel comma
| septimal kleisma, marvel comma
| ruyoyo comma
| ruyoyo
| ryy-2
| ryy-2
| [[225/224|225 / 224]]
| [[225/224|225 / 224]]
Line 1,039: Line 1,039:
|-
|-
| dimcomp
| dimcomp
|
|quadruyoyo
|
|r<sup>4</sup>y<sup>8</sup>-4
| 390625 / 388962
| 390625 / 388962
| {{Monzo| -1 -4 8 -4 }}
| {{Monzo| -1 -4 8 -4 }}
Line 1,046: Line 1,046:
|-
|-
| cataharry
| cataharry
|
|labirugu
| Lrrgg-2
| Lrrgg-2
| 19683 / 19600
| 19683 / 19600
Line 1,053: Line 1,053:
|-
|-
| mirkwai
| mirkwai
|
|quinruaquadyo
|
|r<sup>5</sup>y<sup>4</sup>-4
| 16875 / 16807
| 16875 / 16807
| {{Monzo| 0 3 4 -5 }}
| {{Monzo| 0 3 4 -5 }}
Line 1,060: Line 1,060:
|-
|-
| stearnsma
| stearnsma
|
|latribiru
| Lr<sup>6</sup>-4
| Lr<sup>6</sup>-4
| 118098 / 117649
| 118098 / 117649
Line 1,067: Line 1,067:
|-
|-
| hemimage
| hemimage
|
|satrizoagu
| sz<sup>3</sup>g3
| sz<sup>3</sup>g3
| 10976 / 10935
| 10976 / 10935
Line 1,074: Line 1,074:
|-
|-
| hemimean
| hemimean
|
|zozoquingu
| zzg<sup>5</sup>3
| zzg<sup>5</sup>3
| 3136 / 3125
| 3136 / 3125
Line 1,081: Line 1,081:
|-
|-
| hemifamity
| hemifamity
| small ruyo comma
| saruyo
| sry1
| sry1
| 5120 / 5103
| 5120 / 5103
Line 1,088: Line 1,088:
|-
|-
| linus
| linus
|
|saquinbizogu
|
|sz<sup>10</sup>g<sup>10</sup>8
| 578509309952 / 576650390625
| 578509309952 / 576650390625
| {{Monzo| 11 -10 -10 10 }}
| {{Monzo| 11 -10 -10 10 }}
Line 1,095: Line 1,095:
|-
|-
| porwell
| porwell
|
|sarurutrigu
| srrg<sup>3</sup>1
| srrg<sup>3</sup>1
| 6144 / 6125
| 6144 / 6125
Line 1,102: Line 1,102:
|-
|-
| garischisma
| garischisma
|
|sasaru
| ssr2
| ssr2
| 33554432 / 33480783
| 33554432 / 33480783
Line 1,109: Line 1,109:
|-
|-
| wadisma
| wadisma
|
|latritrizoayo
|
|Lz<sup>9</sup>y4
| 201768035 / 201326592
| 201768035 / 201326592
| {{Monzo| -26 -1 1 9 }}
| {{Monzo| -26 -1 1 9 }}
Line 1,116: Line 1,116:
|-
|-
| quasiorwellisma
| quasiorwellisma
|
|sazoquinbigu
|
|szg<sup>10</sup>4
| 29360128 / 29296875
| 29360128 / 29296875
| {{Monzo| 22 -1 -10 1 }}
| {{Monzo| 22 -1 -10 1 }}
Line 1,123: Line 1,123:
|-
|-
| [[218edo|218edo]] (stacked [[7/4]] and [[10/9]]) comma
| [[218edo|218edo]] (stacked [[7/4]] and [[10/9]]) comma
|
|trisa-triru-quadquadyo
|
|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 }}
Line 1,130: Line 1,130:
|-
|-
| bapbo
| bapbo
| rurugu comma
| rurugu
| rrg1
| rrg1
| 256 / 245
| 256 / 245
Line 1,154: Line 1,154:
|-
|-
| undecimal minor semitone
| undecimal minor semitone
| loru semitone
| loru
| 1or1
| 1or1
| 22 / 21
| 22 / 21
Line 1,168: Line 1,168:
|-
|-
| 11-cycle chroma, 11-11-comma
| 11-cycle chroma, 11-11-comma
|
|lalalelo
|
|LL1o<sup>11</sup>-3
| 285311670611 / 274877906944
| 285311670611 / 274877906944
| {{Monzo| -38 0 0 0 11 }}
| {{Monzo| -38 0 0 0 11 }}
| 64.497
| 64.497
|-
|-
|
|Lalu unison
| Large lu unison
| lalu
| L1u1
| L1u1
| 729 / 704
| 729 / 704
Line 1,189: Line 1,189:
|-
|-
| Hunt flat 5 comma
| Hunt flat 5 comma
| lu comma
| salu
| s1u2
| s1u2
| 8192 / 8019
| 8192 / 8019
Line 1,196: Line 1,196:
|-
|-
| sterno
| sterno
| lorururu comma
| lotriru
| 1or<sup>3</sup>-2
| 1or<sup>3</sup>-2
| 352 / 343
| 352 / 343
Line 1,203: Line 1,203:
|-
|-
| 1/5-tone
| 1/5-tone
| luyo comma
| luyo
| 1uy1
| 1uy1
| 45 / 44
| 45 / 44
Line 1,210: Line 1,210:
|-
|-
| the Igs boson, 13-11-comma
| the Igs boson, 13-11-comma
|
|sasathelu
|
|ss1u<sup>13</sup>4
| 35184372088832 / 34522712143931
| 35184372088832 / 34522712143931
| {{Monzo| 45 0 0 0 -13 }}
| {{Monzo| 45 0 0 0 -13 }}
Line 1,217: Line 1,217:
|-
|-
| undecimal diesis
| undecimal diesis
| luzogu comma
| luzogu
| 1uzg2
| 1uzg2
| 56 / 55
| 56 / 55
Line 1,224: Line 1,224:
|-
|-
| telepathma
| telepathma
| loyo comma
| loyo
| 1oy1
| 1oy1
| 55 / 54
| 55 / 54
Line 1,231: Line 1,231:
|-
|-
| thuja comma
| thuja comma
|
|saquinluayo
| s1u<sup>5</sup>y2
| s1u<sup>5</sup>y2
| 163840 / 161051
| 163840 / 161051
Line 1,238: Line 1,238:
|-
|-
| sensmus
| sensmus
|
|salozogu
| s1ozg2
| s1ozg2
| 1232 / 1215
| 1232 / 1215
Line 1,245: Line 1,245:
|-
|-
| sevnothrush
| sevnothrush
|
|loquingu
| 1og<sup>5</sup>2
| 1og<sup>5</sup>2
| 3168 / 3125
| 3168 / 3125
Line 1,252: Line 1,252:
|-
|-
| cassacot
| cassacot
|
|biluzoayo
| 1uuzzy2
| 1uuzzy2
| 245 / 242
| 245 / 242
Line 1,259: Line 1,259:
|-
|-
| [[mothwellsmic triad|mothwellsma]]
| [[mothwellsmic triad|mothwellsma]]
| loruru comma
| loruru
| 1orr-2
| 1orr-2
| 99 / 98
| 99 / 98
Line 1,266: Line 1,266:
|-
|-
| [[ptolemismic triad|ptolemisma]]
| [[ptolemismic triad|ptolemisma]]
| luyoyo comma
| luyoyo
| 1uyy1
| 1uyy1
| [[100/99|100 / 99]]
| [[100/99|100 / 99]]
Line 1,273: Line 1,273:
|-
|-
| hemimin
| hemimin
| lululuzo comma
| triluazo
| 1u<sup>3</sup>z2
| 1u<sup>3</sup>z2
| 1344 / 1331
| 1344 / 1331
Line 1,280: Line 1,280:
|-
|-
| biyatisma
| biyatisma
| lologu comma
| lologu
| 1oog1
| 1oog1
| 121 / 120
| 121 / 120
Line 1,287: Line 1,287:
|-
|-
| aphrowe
| aphrowe
|
|triloaruru
| 1o<sup>3</sup>rr-2
| 1o<sup>3</sup>rr-2
| 1331 / 1323
| 1331 / 1323
Line 1,294: Line 1,294:
|-
|-
| [[valinorsmic chords|valinorsma]]
| [[valinorsmic chords|valinorsma]]
| lorugugu comma
| lorugugu
| 1orgg1
| 1orgg1
| 176 / 175
| 176 / 175
Line 1,301: Line 1,301:
|-
|-
| [[pentacircle comma|pentacircle]]
| [[pentacircle comma|pentacircle]]
| luzo comma
| saluzo
| s1uz2
| s1uz2
| 896 / 891
| 896 / 891
Line 1,308: Line 1,308:
|-
|-
| orgonisma
| orgonisma
|
|satriluaruru
| s1u<sup>3</sup>rr1
| s1u<sup>3</sup>rr1
| 65536 / 65219
| 65536 / 65219
Line 1,315: Line 1,315:
|-
|-
| [[rastmic chords|rastma]]
| [[rastmic chords|rastma]]
| lulu comma
| lulu
| 1uu1
| 1uu1
| 243 / 242
| 243 / 242
Line 1,322: Line 1,322:
|-
|-
| myhemiwell
| myhemiwell
|
|lolozotrigu
| 1oozg<sup>3</sup>2
| 1oozg<sup>3</sup>2
| 3388 / 3375
| 3388 / 3375
Line 1,329: Line 1,329:
|-
|-
| [[keenanismic chords|keenanisma]]
| [[keenanismic chords|keenanisma]]
| lozoyo comma
| lozoyo
| 1ozy1
| 1ozy1
| [[385/384|385 / 384]]
| [[385/384|385 / 384]]
Line 1,336: Line 1,336:
|-
|-
| [[werckismic chords|werckisma]]
| [[werckismic chords|werckisma]]
| luzozogu comma
| luzozogu
| 1uzzg2
| 1uzzg2
| 441 / 440
| 441 / 440
Line 1,343: Line 1,343:
|-
|-
| moctdel
| moctdel
|
|lotriruyo
| 1or<sup>3</sup>y<sup>3</sup>-3
| 1or<sup>3</sup>y<sup>3</sup>-3
| 1375 / 1372
| 1375 / 1372
Line 1,360: Line 1,360:
|-
|-
| tridecimal comma
| tridecimal comma
| thu unison
| thu
| 3u1
| 3u1
| 27 / 26
| 27 / 26
Line 1,367: Line 1,367:
|-
|-
| tridecimal 1/3-tone
| tridecimal 1/3-tone
| thogu 2nd
| thogu
| 3og2
| 3og2
| 26 / 25
| 26 / 25
Line 1,374: Line 1,374:
|-
|-
| Hunt 13-cycle comma
| Hunt 13-cycle comma
|
|laquinbitho
| L3o<sup>10</sup>2
| L3o<sup>10</sup>2
| 137858491849 / 137438953472
| 137858491849 / 137438953472
Line 1,388: Line 1,388:
|-
|-
| Hunt minor submediant comma
| Hunt minor submediant comma
|
|latho
| L3o1
| L3o1
| 1053 / 1024
| 1053 / 1024
Line 1,395: Line 1,395:
|-
|-
| tridecimal minor diesis
| tridecimal minor diesis
| thuyo comma
| thuyo
| 3uy1
| 3uy1
| 40 / 39
| 40 / 39
Line 1,402: Line 1,402:
|-
|-
| astburyp
| astburyp
|
|latribitho
| L3o<sup>6</sup>2
| L3o<sup>6</sup>2
| 4826809 / 4718592
| 4826809 / 4718592
Line 1,409: Line 1,409:
|-
|-
| wilsorma
| wilsorma
| thoyo comma
| thoyo
| 3oy1
| 3oy1
| 65 / 64
| 65 / 64
Line 1,416: Line 1,416:
|-
|-
| winmeanma
| winmeanma
| thulogu comma
| thulogu
| 3u1og1
| 3u1og1
| 66 / 65
| 66 / 65
Line 1,423: Line 1,423:
|-
|-
| negustma
| negustma
| tholuru comma
| tholuru
| 3o1ur1
| 3o1ur1
| 78 / 77
| 78 / 77
Line 1,430: Line 1,430:
|-
|-
| superleap
| superleap
| thozogu comma
| thozogu
| 3ozg2
| 3ozg2
| 91 / 90
| 91 / 90
Line 1,437: Line 1,437:
|-
|-
| animist
| animist
| thuzoyo comma
| thuzoyo
| 3uzy1
| 3uzy1
| 105 / 104
| 105 / 104
Line 1,444: Line 1,444:
|-
|-
| secorian
| secorian
|
|sathuzo
| s3uz2
| s3uz2
| 28672 / 28431
| 28672 / 28431
Line 1,451: Line 1,451:
|-
|-
| mosaic
| mosaic
|
|lathoruru
| L3orr-2
| L3orr-2
| 3159 / 3136
| 3159 / 3136
Line 1,458: Line 1,458:
|-
|-
| gassorma
| gassorma
|
|thuloruyoyo
| 3u1oryy-2
| 3u1oryy-2
| 275 / 273
| 275 / 273
Line 1,465: Line 1,465:
|-
|-
| [[grossma]]
| [[grossma]]
| thulu comma
| thulu
| 3u1u1
| 3u1u1
| 144 / 143
| 144 / 143
Line 1,472: Line 1,472:
|-
|-
| buzurgisma, dhanvantarisma
| buzurgisma, dhanvantarisma
|
|thothoru
| 3oor1
| 3oor1
| 169 / 168
| 169 / 168
Line 1,479: Line 1,479:
|-
|-
| catadictma
| catadictma
| thologu comma
| thologu
| 3o1og1
| 3o1og1
| 1287 / 1280
| 1287 / 1280
Line 1,486: Line 1,486:
|-
|-
| [[mynucumic chords|mynucuma]]
| [[mynucumic chords|mynucuma]]
| thuzozogu comma
| thuzozogu
| 3uzzg2
| 3uzzg2
| 196 / 195
| 196 / 195
Line 1,493: Line 1,493:
|-
|-
| [[huntmic chords|huntma]], nelindic comma
| [[huntmic chords|huntma]], nelindic comma
| thururuyo comma
| thururuyo
| 3urry-2
| 3urry-2
| 640 / 637
| 640 / 637
Line 1,500: Line 1,500:
|-
|-
| [[threedie]]
| [[threedie]]
| triple-tho comma
| satritho
| s3o<sup>3</sup>2
| s3o<sup>3</sup>2
| 2197 / 2187
| 2197 / 2187
Line 1,507: Line 1,507:
|-
|-
| [[kestrel chords|kestrel comma]]
| [[kestrel chords|kestrel comma]]
|
|thuthuloru
| 3uu1or-2
| 3uu1or-2
| 1188 / 1183
| 1188 / 1183
Line 1,514: Line 1,514:
|-
|-
| [[marveltwin]]
| [[marveltwin]]
| thoyoyo comma
| thoyoyo
| 3oyy1
| 3oyy1
| 325 / 324
| 325 / 324
Line 1,521: Line 1,521:
|-
|-
| [[ratwolf triad|ratwolfsma]]
| [[ratwolf triad|ratwolfsma]]
| thorugugu comma
| thorugugu
| 3orgg1
| 3orgg1
| 351 / 350
| 351 / 350
Line 1,528: Line 1,528:
|-
|-
| [[minthmic chords|minthma]]
| [[minthmic chords|minthma]]
| thulo comma
| thulo
| 3u1o1
| 3u1o1
| 352 / 351
| 352 / 351
Line 1,535: Line 1,535:
|-
|-
| [[gentle chords|gentle comma]]
| [[gentle chords|gentle comma]]
|
|tholuluzo
| 3o1uuz2
| 3o1uuz2
| 364 / 363
| 364 / 363
Line 1,542: Line 1,542:
|-
|-
| [[cuthbert triad|cuthbert]]
| [[cuthbert triad|cuthbert]]
|
|bithuloazogu
| 3uu1oozg1
| 3uu1oozg1
| 847 / 845
| 847 / 845
Line 1,559: Line 1,559:
|-
|-
| septendecimal 1/4-tone
| septendecimal 1/4-tone
| suzoyo unison
| suzoyo
| 17uzy1
| 17uzy1
| 35 / 34
| 35 / 34
Line 1,566: Line 1,566:
|-
|-
|
|
| solu 2nd
| solu
| 17o1u2
| 17o1u2
| 34 / 33
| 34 / 33
Line 1,573: Line 1,573:
|-
|-
| Arabic lute index finger
| Arabic lute index finger
| su unison
| su
| 17u1
| 17u1
| 18 / 17
| 18 / 17
Line 1,615: Line 1,615:
|-
|-
| 17th-partial chroma
| 17th-partial chroma
| sogugu comma
| sogugu
| 17ogg2
| 17ogg2
| 51 / 50
| 51 / 50
Line 1,622: Line 1,622:
|-
|-
|
|
| sutho comma
| sutho
| 17u3o1
| 17u3o1
| 52 / 51
| 52 / 51
Line 1,629: Line 1,629:
|-
|-
|
|
| soruyo comma
| soruyo
| 17ory1
| 17ory1
| 85 / 84
| 85 / 84
Line 1,636: Line 1,636:
|-
|-
| Hunt flat 2 comma
| Hunt flat 2 comma
| so comma
| laso
| L17o1
| L17o1
| 4131 / 4096
| 4131 / 4096
Line 1,643: Line 1,643:
|-
|-
|
|
| suruyo comma
| suruyo
| 17ury-2
| 17ury-2
| 120 / 119
| 120 / 119
Line 1,650: Line 1,650:
|-
|-
| Blume comma
| Blume comma
| sololo comma
| sololo
| 17o1oo1
| 17o1oo1
| 2057 / 2048
| 2057 / 2048
Line 1,657: Line 1,657:
|-
|-
| septendecimal kleisma
| septendecimal kleisma
| sugu comma
| sugu
| 17ug1
| 17ug1
| 256 / 255
| 256 / 255
Line 1,664: Line 1,664:
|-
|-
| tannisma
| tannisma
| suthozo comma
| suthozo
| 17u3oz1
| 17u3oz1
| 273 / 272
| 273 / 272
Line 1,671: Line 1,671:
|-
|-
| septendecimal integer cents comma
| septendecimal integer cents comma
| soso comma
| soso
| 17oo2
| 17oo2
| 289 / 288
| 289 / 288
Line 1,688: Line 1,688:
|-
|-
| undevicesimal semitone
| undevicesimal semitone
| ino 2nd
| ino
| 19o2
| 19o2
| 19 / 18
| 19 / 18
Line 1,695: Line 1,695:
|-
|-
| small undevicesimal semitone
| small undevicesimal semitone
| nuyo unison
| nuyo
| 19uy1
| 19uy1
| 20 / 19
| 20 / 19
Line 1,702: Line 1,702:
|-
|-
|
|
| nutho comma
| nutho
| 19u3o1
| 19u3o1
| 39 / 38
| 39 / 38
Line 1,709: Line 1,709:
|-
|-
|
|
| noru comma
| noru
| 19or1
| 19or1
| 57 / 56
| 57 / 56
Line 1,716: Line 1,716:
|-
|-
|
|
| nuruyo comma
| nuruyo
| 19ury-2
| 19ury-2
| 135 / 133
| 135 / 133
Line 1,723: Line 1,723:
|-
|-
|
|
| nogugu comma
| nogugu
| 19ogg2
| 19ogg2
| 76 / 75
| 76 / 75
Line 1,730: Line 1,730:
|-
|-
| approximation to Pyth 53-comma
| approximation to Pyth 53-comma
| nulozo comma
| nulozo
| 19u1o1
| 19u1oz1
| 77 / 76
| 77 / 76
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
Line 1,737: Line 1,737:
|-
|-
| 19th-partial chroma
| 19th-partial chroma
| nugu comma
| nugu
| 19ug1
| 19ug1
| 96 / 95
| 96 / 95
Line 1,744: Line 1,744:
|-
|-
|
|
| noluzo comma
| noluzo
| 19o1uz2
| 19o1uz2
| 133 / 132
| 133 / 132
Line 1,751: Line 1,751:
|-
|-
| Ganassi's comma
| Ganassi's comma
| nuso comma
| nuso
| 19u17o1
| 19u17o1
| 153 / 152
| 153 / 152
Line 1,758: Line 1,758:
|-
|-
|
|
| nosugu comma
| nosugu
| 19o17ug1
| 19o17ug1
| 171 / 170
| 171 / 170
Line 1,765: Line 1,765:
|-
|-
| Hunt 19-cycle comma
| Hunt 19-cycle comma
| quadnu comma
| saquadnu
| s19u<sup>4</sup>-2
| s19u<sup>4</sup>-2
| 131072 / 130321
| 131072 / 130321
Line 1,772: Line 1,772:
|-
|-
| spleen comma
| spleen comma
| nuluzoyo comma
| nuluzoyo
| 19u1uzy1
| 19u1uzy1
| 210 / 209
| 210 / 209
Line 1,779: Line 1,779:
|-
|-
|
|
| nusu comma
| nusu
| 19u17u-2
| 19u17u-2
| 324 / 323
| 324 / 323
Line 1,786: Line 1,786:
|-
|-
| go comma
| go comma
| nonogu comma
| nonogu
| 19oog2
| 19oog2
| 361 / 360
| 361 / 360

Revision as of 04:49, 13 January 2019

Definition

A comma is a small interval that occurs in just intonation, between two intervals which are close in pitch. Commas are always greater than 1 (0 cents) and not a power such as a square or cube of any other interval, and generally in a low prime limit. The word is often used in reference to regular tempering when the comma is tempered out, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by meantone temperament. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in cents. Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.

For commas over 100 cents in size, see Large 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
limma, Pythagorean minor second small wa 2nd sw2 256 / 243 [8 -5⟩ 90.225
Pythagorean comma wa comma LLw-2 531441 / 524288 [-19 12⟩ 23.460
17-comma wa-17 comma ssw3 134217728 / 129140163 [27 -17⟩ 66.765
29-comma wa-29 comma s4w4 70368744177664 / 68630377364883 [46 -29⟩ 43.305
41-comma wa-41 comma s6w5 36893488147419103232 /
36472996377170786403 		[65 -41⟩ 19.845
Mercator's comma, 53-comma wa-53 comma L8w-6 19383245667680019896796723 /
19342813113834066795298816 		[-84 53⟩ 3.6150
70-comma wa-70 comma s10w8 [111 -70⟩ 63.150
77-comma wa-77 comma L11w-8 [-122 77⟩ 50.535
200-comma, Pythagorean integer cents comma wa-200 comma w-200 [317 -200⟩ 8.9998

5-limit commas

Name(s) Color Name Ratio Monzo Cents
Twenty-two thirds limma trila-lebiyo L3y22-6 2384185791015625 / 2251799813685248 [-51 0 22⟩ 98.902
sibbolet quadla-quinquinyo L4y25-7 298023223876953125 / 288230376151711744 [-58 0 25⟩ 57.843
Hunt 5-cycle comma quadla-sepquadyo L4y28-8 37252902984619140625 / 36893488147419103232 [-65 0 28⟩ 16.784
acute thirds comma s4g319 [72 0 -31⟩ 24.275
34-5-comma s5g3410 [79 0 -34⟩ 65.334
Schismic thirds chromatic semitone L8y53-14 [-123 0 53⟩ 74.627
59-5-comma s9g5916 [137 0 -59⟩ 7.4909
10-15-comma trila-quinbiyo L3y10-4 576650390625 / 549755813888 [-39 10 10⟩ 82.687
11-15-comma trisa-legu s3g115 8796093022208 / 8649755859375 [43 -11 -11⟩ 29.044
21-15-comma [-82 21 21⟩ 53.643
32-15-comma [-125 32 32⟩ 24.599
Huntian 15-cycle comma [168 -43 -43⟩ 4.4453
56-syntonic comma [-225 224 -56⟩ 4.3522
53-15-comma [-207 53 53⟩ 78.242
54-15-comma [211 -54 -54⟩ 33.489
76-15-comma [297 -76 -76⟩ 91.578
Double large yoyo negative 2nd lala-yoyo LLyy-2 4428675 / 4194304 [-22 11 2⟩ 94.132
major chroma, major limma, pelogic comma layo-unison Ly1 135 / 128 [-7 3 1⟩ 92.179
double small gu 3rd sasagu ssg3 8388608 / 7971615 [23 -13 -1⟩ 88.271
ripple quingu g52 6561 / 6250 [-1 8 -5⟩ 84.071
doublewide quadbiyo y8-2 390625 / 373248 [-9 -6 8⟩ 78.780
sevond sasepyo sy71 5000000 / 4782969 [6 -14 7⟩ 76.826
nusecond legu g113 51018336 / 48828125 [5 13 -11⟩ 75.964
sentinel trila-quadyo L3y4-3 8968066875 / 8589934592 [-33 15 4⟩ 74.580
large triyo negative 2nd latriyo Ly3-2 273375 / 262144 [-18 7 3⟩ 72.626
chromatic semitone yoyo yy1 25 / 24 [-3 -1 2⟩ 70.672
superpyth, grave minor second sayo sy2 20480 / 19683 [12 -9 1⟩ 68.719
major diesis, diminished comma quadgu g42 648 / 625 [3 4 -4⟩ 62.565
passion saquingu sg53 262144 / 253125 [18 -4 -5⟩ 60.611
shibboleth tritriyo y9-2 1953125 / 1889568 [-5 -10 9⟩ 57.273
mynic quinbigu g103 10077696 / 9765625 [9 9 -10⟩ 54.458
tritonic lalaquinyo LLy5-3 553584375 / 536870912 [-29 11 5⟩ 53.074
negri comma, double augmentation diesis laquadyo Ly4-2 16875 / 16384 [-14 3 4⟩ 51.120
maximal diesis, porcupine triyo y31 250 / 243 [1 -5 3⟩ 49.166
immunity sasayoyo ssyy2 1638400 / 1594323 [16 -13 2⟩ 47.212
double large green comma lalagu LLg-2 43046721 / 41943040 [-23 16 -1⟩ 44.966
diesis, augmented comma trigu g32 128 / 125 [7 0 -3⟩ 41.059
wizard lala-quadtriyo LLy12-4 2197265625 / 2147483648 [-31 2 12⟩ 39.675
sycamore laleyo Ly11-3 48828125 / 47775744 [-16 -6 11⟩ 37.721
fifive saquinbiyo sy10-2 9765625 / 9565938 [-1 -14 10⟩ 35.767
unicorn laquadbigu Lg82 1594323 / 1562500 [-2 13 -8⟩ 34.905
valentine comma satritrigu sg93 1990656 / 1953125 [13 5 -9⟩ 32.952
ampersand, Ampersand's comma lala-tribiyo LLy6-3 34171875 / 33554432 [-25 7 6⟩ 31.567
mabila comma sasa-quinbigu ssg104 268435456 / 263671875 [28 -3 -10⟩ 30.998
small diesis, magic comma quinyo Ly5-2 3125 / 3072 [-10 -1 5⟩ 29.614
minimal diesis, tetracot comma saquadyo sy41 20000 / 19683 [5 -9 4⟩ 27.660
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
maja saseyo sy17-3 762939453125 / 753145430616 [-3 -23 17⟩ 22.368
syntonic / Didymos / meantone comma gu g1 81 / 80 [-4 4 -1⟩ 21.506
maquila comma trisa-segu s3g176 562949953421312 / 556182861328125 [49 -6 -17⟩ 20.937
diaschisma sagugu sgg2 2048 / 2025 [11 -4 -2⟩ 19.553
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
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 sasa-lebigu ssg226 [40 7 -22⟩ 14.783
quartonic saleyo sy11-2 390625000 / 387420489 [3 -18 11⟩ 14.261
medium semicomma, sensipent comma sepgu g72 78732 / 78125 [2 9 -7⟩ 13.399
Würschmidt comma saquabigu sg83 393216 / 390625 [17 1 -8⟩ 11.445
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
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
vulture comma sasa-quadyo ssy42 10485760000 / 10460353203 [24 -21 4⟩ 4.1998
lafa comma tribisa-quatrigu s6g127 [77 -31 -12⟩ 3.6304
23-3/5-comma twenty-thegu g235 12339534735212544 / 11920928955078125 [17 23 -23⟩ 59.750
34-3/5-comma sebiyo y343 [-25 -34 34⟩ 68.196
53-3/5-comma fifty-theyo y537 [-39 -53 53⟩ 71.012

7-limit commas

Name(s) Color Name Ratio Monzo Cents
Archytas' 1/3-tone zo z2 28 / 27 [2 -3 0 1⟩ 62.961
minor semitone zogu zg2 21 / 20 [-2 1 -1 1⟩ 84.467
hexadecatone comma, 16-7-comma sasa-quaquadru ssr16-6 35184372088832 / 33232930569601 [45 0 0 -16⟩ 98.785
21-7-comma 576460752303423488 / 558545864083284007 [59 0 0 -21⟩ 54.656
Hunt 7-cycle comma [73 0 0 -26⟩ 10.526
German sixth comma [-87 0 0 31⟩ 33.603
Laruru negative 2nd laruru Lrr-2 6561 / 6272 [-7 8 0 -2⟩ 77.988
36-7-comma [-101 0 0 36⟩ 77.733
47-7-comma [132 0 0 -47⟩ 65.182
slendro integer cents comma [1123 0 0 -400⟩ 69.637
29-7/5-comma [-14 0 -29 29⟩ 92.854
31-7/5-comma [-15 0 -31 31⟩ 57.878
33-7/5-comma [-16 0 -33 33⟩ 22.902
35-7/5-comma [17 0 35 -35⟩ 12.073
37-7/5-comma [18 0 37 -37⟩ 47.049
39-7/5-comma [19 0 39 -39⟩ 82.024
5-21-comma saquinru sr5-2 4194304 / 4084101 [22 -5 0 -5⟩ 46.095
18-21-comma [-79 18 0 18⟩ 74.056
23-21-comma [-101 23 0 23⟩ 27.961
Huntian 21-cycle comma [123 -28 0 -28⟩ 18.135
33-21-comma [145 -33 0 -33⟩ 64.230
8-35-comma lala-quabizoyo LLz8y82 2251875390625 / 2199023255552 [-41 0 8 8⟩ 41.117
15-35-comma [77 0 -15 -15⟩ 72.906
23-35-comma [118 0 -23 -23⟩ 31.789
31-35-comma [-159 0 31 31⟩ 9.3282
39-35-comma [-200 0 39 39⟩ 50.445
47-35-comma [-241 0 47 47⟩ 91.562
Huntian 35-cycle comma [277 0 -54 -54⟩ 22.461
greenwoodma ruruyo rry-2 405 / 392 [-3 4 1 -2⟩ 56.482
Harrison's comma laru Lr-2 59049 / 57344 [-13 10 0 -1⟩ 50.724
keega trizogu z3g33 1029 / 1000 [-3 1 -3 3⟩ 49.492
septimal quarter tone rugu rg1 36 / 35 [2 2 -1 -1⟩ 48.770
quarter tone comma quinquinrugu [49 50 -25 -25⟩ 19.260
cloudy laquinzo Lz53 16807 / 16384 [-14 0 0 5⟩ 44.130
Avicenna, Avicenna's enharmonic diesis lazoyoyo Lzyy1 525 / 512 [-9 1 2 1⟩ 43.408
slendro diesis zozo zz2 49 / 48 [-4 -1 0 2⟩ 35.697
slendro 34-comma [-137 -34 0 68⟩ 13.692
34-jubilismic comma [-33 0 -68 68⟩ 10.829
tritonic diesis, jubilisma biruyo rryy-2 50 / 49 [1 0 2 -2⟩ 34.976
eric sepru r7-4 839808 / 823543 [7 8 0 -7⟩ 33.859
senga trizoagugu z3gg3 686 / 675 [1 -3 -2 3⟩ 27.985
septimal / Archytas' comma, Leipziger Komma ru r1 64 / 63 [6 -2 0 -1⟩ 27.264
blackjackisma lasepruaquabiyo Lr7y8-6 854296875 / 843308032 [-10 7 8 -7⟩ 22.413
squalentine laquadzoatrigu Lz4g33 64827 / 64000 [-9 3 -3 4⟩ 22.227
keema zotriyo zy31 875 / 864 [-5 -3 3 1⟩ 21.902
gariboh triruaquinyo r3y5-3 3125 / 3087 [0 -2 5 -3⟩ 21.181
nuwell quadruayo r4y-3 2430 / 2401 [1 5 1 -4⟩ 20.785
tolerma sazoyoyo szyy2 179200 / 177147 [10 -11 2 1⟩ 19.948
mirwomo labizoyo Lzzyy1 33075 / 32768 [-15 3 2 2⟩ 16.144
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
octagar rurutriyo rry3-2 4000 / 3969 [5 -4 3 -2⟩ 13.469
orwellisma, orwell comma triruagu r3g-2 1728 / 1715 [6 3 -1 -3⟩ 13.074
quince lasepzoagugu 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
septimal kleisma, marvel comma ruyoyo ryy-2 225 / 224 [-5 2 2 -1⟩ 7.7115
dimcomp quadruyoyo r4y8-4 390625 / 388962 [-1 -4 8 -4⟩ 7.3861
cataharry labirugu Lrrgg-2 19683 / 19600 [-4 9 -2 -2⟩ 7.3158
mirkwai quinruaquadyo r5y4-4 16875 / 16807 [0 3 4 -5⟩ 6.9903
stearnsma latribiru Lr6-4 118098 / 117649 [1 10 0 -6⟩ 6.5946
hemimage satrizoagu sz3g3 10976 / 10935 [5 -7 -1 3⟩ 6.4790
hemimean zozoquingu zzg53 3136 / 3125 [6 0 -5 2⟩ 6.0832
hemifamity saruyo sry1 5120 / 5103 [10 -6 1 -1⟩ 5.7578
linus saquinbizogu sz10g108 578509309952 / 576650390625 [11 -10 -10 10⟩ 5.5719
porwell sarurutrigu srrg31 6144 / 6125 [11 1 -3 -2⟩ 5.3620
garischisma sasaru ssr2 33554432 / 33480783 [25 -14 0 -1⟩ 3.8041
wadisma latritrizoayo Lz9y4 201768035 / 201326592 [-26 -1 1 9⟩ 3.7919
quasiorwellisma sazoquinbigu szg104 29360128 / 29296875 [22 -1 -10 1⟩ 3.7338
218edo (stacked 7/4 and 10/9) comma trisa-triru-quadquadyo s3r3y16-3 640000000000000000 / 635585924776181463 [22 -32 16 -3⟩ 11.982
bapbo rurugu rrg1 256 / 245 [8 0 -1 -2⟩ 76.034

11-limit commas

Name(s) Color Name Ratio Monzo Cents
undecimal comma, al-Farabi's 1/4-tone ilo 1o1 33 / 32 [-5 1 0 0 1⟩ 53.273
undecimal minor semitone loru 1or1 22 / 21 [1 -1 0 -1 1⟩ 80.537
11-cycle major seventh prote, 35-11-comma [-121 0 0 0 35⟩ 96.128
11-cycle chroma, 11-11-comma lalalelo LL1o11-3 285311670611 / 274877906944 [-38 0 0 0 11⟩ 64.497
Lalu unison lalu L1u1 729 / 704 [-6 6 0 0 -1⟩ 60.412
Hunt 11-cycle comma [-83 0 0 0 24⟩ 31.631
Hunt flat 5 comma salu s1u2 8192 / 8019 [13 -6 0 0 -1⟩ 36.952
sterno lotriru 1or3-2 352 / 343 [5 0 0 -3 1⟩ 44.840
1/5-tone luyo 1uy1 45 / 44 [-2 2 1 0 -1⟩ 38.906
the Igs boson, 13-11-comma sasathelu ss1u134 35184372088832 / 34522712143931 [45 0 0 0 -13⟩ 32.867
undecimal diesis luzogu 1uzg2 56 / 55 [3 0 -1 1 -1⟩ 31.194
telepathma loyo 1oy1 55 / 54 [-1 -3 1 0 1⟩ 31.767
thuja comma saquinluayo 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
cassacot biluzoayo 1uuzzy2 245 / 242 [-1 0 1 2 -2⟩ 21.330
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 triluazo 1u3z2 1344 / 1331 [6 1 0 1 -3⟩ 16.827
biyatisma lologu 1oog1 121 / 120 [-3 -1 -1 0 2⟩ 14.367
aphrowe triloaruru 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
orgonisma satriluaruru s1u3rr1 65536 / 65219 [16 0 0 -2 -3⟩ 8.3944
rastma lulu 1uu1 243 / 242 [-1 5 0 0 -2⟩ 7.1391
myhemiwell lolozotrigu 1oozg32 3388 / 3375 [2 -3 -3 1 2⟩ 6.6556
keenanisma lozoyo 1ozy1 385 / 384 [-7 -1 1 1 1⟩ 4.5026
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

13-limit commas

Name(s) Color Name Ratio Monzo Cents
tridecimal comma thu 3u1 27 / 26 [-1 3 0 0 0 -1⟩ 65.337
tridecimal 1/3-tone thogu 3og2 26 / 25 [1 0 -2 0 0 1⟩ 67.900
Hunt 13-cycle comma laquinbitho L3o102 137858491849 / 137438953472 [-37 0 0 0 0 10⟩ 5.2766
silver half cents comma [-8881 0 0 0 0 2400⟩ 66.388
Hunt minor submediant comma latho L3o1 1053 / 1024 [-10 4 0 0 0 1⟩ 48.348
tridecimal minor diesis thuyo 3uy1 40 / 39 [3 -1 1 0 0 -1⟩ 43.831
astburyp latribitho L3o62 4826809 / 4718592 [-19 -2 0 0 0 6⟩ 39.256
wilsorma thoyo 3oy1 65 / 64 [-6 0 1 0 0 1⟩ 26.841
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
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
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, 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
ratwolfsma thorugugu 3orgg1 351 / 350 [-1 3 -2 -1 0 1⟩ 4.9393
minthma 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 bithuloazogu 3uu1oozg1 847 / 845 [0 0 -1 1 2 -2⟩ 4.0928

17-limit commas

Name(s) Color Name Ratio Monzo Cents
septendecimal 1/4-tone suzoyo 17uzy1 35 / 34 [-1 0 1 1 0 0 -1⟩ 50.184
solu 17o1u2 34 / 33 [1 -1 0 0 -1 0 1⟩ 51.682
Arabic lute index finger su 17u1 18 / 17 [1 2 0 0 0 0 -1⟩ 98.955
11 semitone comma 35184372088832 / 34271896307633 [45 0 0 0 0 0 -11⟩ 45.490
12 semitone comma 582622237229761 / 562949953421312 [-49 0 0 0 0 0 12⟩ 59.465
23 semitone comma [-94 0 0 0 0 0 23⟩ 13.974
Hunt 17-cycle comma [139 0 0 0 0 0 -34⟩ 31.516
17-ripple integer cents comma [327 0 0 0 0 0 -80⟩ 3.5672
17th-partial chroma sogugu 17ogg2 51 / 50 [-1 1 -2 0 0 0 1⟩ 34.283
sutho 17u3o1 52 / 51 [2 -1 0 0 0 1 -1⟩ 33.617
soruyo 17ory1 85 / 84 [-2 -1 1 -1 0 0 1⟩ 20.488
Hunt flat 2 comma laso L17o1 4131 / 4096 [-12 5 0 0 0 0 1⟩ 14.730
suruyo 17ury-2 120 / 119 [3 1 1 -1 0 0 -1⟩ 14.487
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

19-limit commas

Name(s) Color Name Ratio Monzo Cents
undevicesimal semitone ino 19o2 19 / 18 [-1 -2 0 0 0 0 0 1⟩ 93.603
small undevicesimal semitone nuyo 19uy1 20 / 19 [2 0 1 0 0 0 0 -1⟩ 88.801
nutho 19u3o1 39 / 38 [-1 1 0 0 0 1 0 -1⟩ 44.970
noru 19or1 57 / 56 [-3 1 0 -1 0 0 0 1⟩ 30.642
nuruyo 19ury-2 135 / 133 [0 3 1 -1 0 0 0 -1⟩ 25.840
nogugu 19ogg2 76 / 75 [2 -1 -2 0 0 0 0 1⟩ 22.931
approximation to Pyth 53-comma 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
noluzo 19o1uz2 133 / 132 [-2 -1 0 1 -1 0 0 1⟩ 13.066
Ganassi's comma nuso 19u17o1 153 / 152 [-3 2 0 0 0 0 1 -1⟩ 11.352
nosugu 19o17ug1 171 / 170 [-1 2 -1 0 0 0 -1 1⟩ 10.154
Hunt 19-cycle comma saquadnu s19u4-2 131072 / 130321 [17 0 0 0 0 0 0 -4⟩ 9.9479
spleen comma nuluzoyo 19u1uzy1 210 / 209 [1 1 1 1 -1 0 0 -1⟩ 8.2637
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
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