Small comma: Difference between revisions

A '''comma''' is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1/1 (0 [[cent]]s) 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 Temperaments|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 [[ratio]]s, but they can also be written as [[monzo]]s. The following lists mostly give both forms, as well as the size in [[cent]]s. The [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out, except for 3-limit commas, which create [[edo]]s.

For commas over 100 cents in size, see [[Large comma]]s; for commas in between 30 and 100 cents in size, see [[Medium comma]]s; and for commas under 3.5 cents in size, see [[Unnoticeable comma]]s

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 [[conventions|convention]] elsewhere on the wiki.

! colspan="2" |[[Color notation/Temperament Names|Color Name]]

| 65-comma

| wa-65 comma

| w-65

| lalawa comma

| LLw-2

| [[41-comma]]

| wa-41 comma

| w-41

| 36893488147419103232 /<br>36472996377170786403

| 94-comma

| wa-94 comma

| w-94

| {{monzo| 149 -94 }}

| 200-comma, Pythagorean integer cents comma <!-- the meaning of "integer cents" is ambiguous, because this comma is both near an integer in cents and involves integer cent fifths (702 cents), causing that term to be inconsistently used for one or the other -->

| wa-200 comma

| w-200

| wa-53 comma

| w-53

| 19383245667680019896796723 /<br>19342813113834066795298816

|-

! colspan="2" |[[Color notation/Temperament Names|Color Name]]

| small diesis, [[magic comma]]

| Laquinyo

| Ly⁵-2

| 3125/3072

| 11-15-comma, hendecatonic comma

| Trisa-legu

| s³g¹¹5

| minimal diesis, [[tetracot comma]]

| Saquadyo

| sy⁴1

| semaja

| Lalaneyo

| LLy¹⁹-5

| quanic comma

| Sepsa-quinyo

| s⁷y⁵5

| roda

| Sasa-triyo

| ssy³2

| [[Trisedodge family|trisedodge comma]]

| Saquintrigu

| sg¹⁵4

| maja

| Saseyo

| sy¹⁷-3

| [[Garischismic temperaments|satin comma]]

| Quinbisa-triyo

| s¹⁰y³7

| misneb

| Quadla-quintriyo

| L⁴y¹⁵-6

| syntonic / Didymos / meantone comma

| Gu or Meantone

| g1

| [[81/80]]

| [[Maquila family|maquila comma]]

| Trisa-segu

| s³g¹⁷6

| [[diaschisma]]

| Sagugu

| sgg2

| 2048/2025

| [[countermeantone comma]]

| Quinquadgu

| g²⁰4

| ditonma

| Lala-theyo

| LLy¹³-4

| [[misty comma]]

| Sasa-trigu

| ssg³3

| [[Pental family|pental comma]]

| Trila-quingu

| L³g⁵-2

| undim comma

| Trisa-quadgu

| s³g⁴4

| [[graviton]], [[Gravity family|gravity]] comma

| Lala-tribigu

| LLg⁶1

| majvam

| Sasa-lebigu

| ssg²²6

| quartonic

| Saleyo

| sy¹¹-2

| untritonic comma

| Quadla-tritriyo

| L⁴y⁹-5

| medium semicomma, [[sensipent comma]]

| Sepgu

| g⁷2

| [[tertiosec comma]]

| Laquadtribiyo

| L⁶y²⁴-9

| Saquadbigu

| sg⁸3

| [[counterhanson comma]]

| Quinquinyo

| y²⁵-5

| [[semicomma]], Fokker comma

| Lasepyo

| Ly⁷-3

| [[escapade comma]]

| Sasa-tritrigu

| ssg⁹4

| [[kleisma]], semicomma majeur

| Tribiyo

| y⁶-2

| [[Qintosec family|qintosec comma]]

| Quadsa-quinbigu

| s⁴g¹⁰5

|

|  

| unidecma

| Laquadtrigu

| Lg¹²2

| [[mutt comma]]

| Trila-septriyo

| L³y²¹-6

| [[amity comma]]

| Saquinyo

| sy⁵1

| [[parakleisma]]

| Thegu

| g¹³3

| gammic comma

| Laquinquadyo

| Ly²⁰-5

| [[squarschmidt comma]]

| Quadsa-twenty-negu

| s⁴g²⁹8

| Huntian 15-cycle comma

| Quadtrisa-forty-thegu

| s¹²g⁴³16

| 56-syntonic comma

| Quadtribila-sepquadbigu

| L²⁴g⁵⁶-8

| [[vulture comma]]

| Sasa-quadyo

| ssy⁴2

| [[lafa comma]]

| Tribisa-quadtrigu

| s⁶g¹²7

! colspan="2" | [[Color notation/Temperament Names|Color Name]]

| senga

| Trizo-agugu

| z³gg3

| 686/675

| Sepla-twentythezo

| L⁷z²³7

| septimal / Archytas' comma, Leipziger Komma

| Ru

| r1

| [[64/63]]

| mandos

| Birugugu

| rrg⁴1

|

|

|

|

| blackjackisma

| Lasepru-aquadbiyo

| Lr⁷y⁸-6

| squalentine

| Laquadzo-atrigu

| Lz⁴g³3

| keema

| Zotriyo

| zy³1

| 875/864

| gariboh

| Triru-aquinyo

| r³y⁵-3

| 3125/3087

| nuwell

| Quadru-ayo

| r⁴y-3

| 2430/2401

| small quadruple bluish

| Saquadzogu

| sz⁴g⁴4

| {{Monzo| 6 -5 -4 4 }}

| tolerma

| Sazoyoyo

| szyy2

| 25-36/35-comma, icosipentatonic comma

| Quinquinrugu

| r²⁵g²⁵-8

| 19.26

|

|

| mirwomo

| Labizoyo

| Lzzyy1

| trimyna

| Quinzogu

| z⁵g⁵4

| {{Monzo| -4 1 -5 5 }}

| sensamagic

| Zozoyo

| zzy2

| [[245/243]]

| {{Monzo| 0 -5 1 2 }}

| septimal semicomma, starling comma

| Zotrigu

| zg³2

| [[126/125]]

| slendro 34-comma

|

|

| octagar

| Rurutriyo

| rry³-2

| 4000/3969

| orwellisma, orwell comma

| Triru-agu

| r³g-2

| 1728/1715

|

|

| [[218edo]] (stacked [[7/4]] and [[10/9]]) comma

| Trisa-triru-aquadquadyo

| s³r³y¹⁶-3

| Sequadzogu

| z⁶⁸g⁶⁸42

| Hunt 7-cycle comma

|

|

|  

| 31-35-comma

|

|

| quince

| Lasepzo-agugu

| Lz⁷gg4

| gamelisma

| Latrizo

| Lz³2

| 1029/1024

| varunisma

| Labizogugu

| Lzzg⁴2

| 8.037

| septimal kleisma, marvel comma

| Ruyoyo

| ryy-2

| [[225/224]]

| dimcomp

| Quadruyoyo

| r⁴y⁸-4

| cataharry

| Labirugu

| Lrrgg-2

| mirkwai

| Quinru-aquadyo

| r⁵y⁴-4

| stearnsma

| Latribiru

| Lr⁶-4