Xenharmonic Wiki

Small comma: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
Tags: Mobile edit Mobile web edit
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
Updated the color names
Line 1: Line 1:
== 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
Retrieved from "https://en.xen.wiki/w/Small_comma"