Unnoticeable comma: Difference between revisions

'''Unnoticeable commas''' are very small intervals. These [[comma]]s are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] (just-noticeable difference) of human pitch perception, as illustrated by the research of [[Aaron_Andrew_Hunt|Aaron Andrew Hunt]]. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed [[Microtempering|microtempering]]. (However, a considerably larger comma can be unnoticeable in an [[Adaptive just intonation|adaptive]] tuning context. Instead of one large pitch shift of the entire comma, there can be many small pitch shifts of a fraction of a comma, one per chord change.)  

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

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. 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.

! colspan="2" | [[Color name|Color Name]]

| 359-comma

| Wa-359

| w-359

| {{monzo| -569 359 }}

|  

| [[Sasktel comma]]

| Wa-306

| w-306

| {{monzo| 485 -306 }}

|  

| Wa-665

| w-665

| {{monzo| -1054 665 }}

| Wa-15601

| w-15601

| {{monzo| 24727 -15601 }}

| Wa-31867

| w-31867

| {{monzo| -50508 31867 }}

| Wa-190537

| w-190537

| 0.000112

| [[Aura]] (2022)

! colspan="2" | [[Color name|Color Name]]

| Quadla-sepquinyo

| L⁴y³⁵-9

| [[Vishnuzma]], semisuper comma

| Sasepbigu

| sg¹⁴4

| [[Gene Ward Smith]] (2002)

| [[Enneadeca]], 19-tone-comma

| Neyo

| y¹⁹-4

| [[Gene Ward Smith]] (2002)

| Quinla-seyo

| L⁵y¹⁷-7

| [[Tricot comma]]

| Quadsa-triyo

| s⁴y³3

| Layo

| Ly-2

| 32805/32768

| Hermann von Helmholtz, Alexander Ellis (1875)

| Tribilagu

| L⁶g-5

| Lala-sebiyo

| LLy³⁴-8

| Luna comma, hemithirds comma

| Sasa-quintrigu

| ssg¹⁵5

| [[Minortone comma]], minortonma

| Trila-segu

| L³g¹⁷2

| Satritribiyo

| sy¹⁸-3

| Astro comma

| Tribisa-thiwegu

| s⁶g³¹10

| Quadbila-negu

| L⁸g¹⁹-3

| [[User:Xenllium|Xenllium]] (2022)

| Kwazy

| Quadla-quadquadyo

| L⁴y¹⁶-6

| Whoosh

| Saletrigu

| sg³³7

| Egads

| Setriyo

| y⁵¹-9

| Quinsa-yoyo

| s⁵yy4

| Fortune

| Tritrila-sepbiyo

| L⁹y¹⁴-9

| Gross

| Quinbisa-fosegu

| s¹⁰g⁴⁷15

| Senior

| Quadla-sepquingu

| L⁴g³⁵4

| [[Counterquectisma]], deltapion

| Quintritrilayo

| L⁴⁵y-31

| Raider

| Tritrisa-thiseyo

| s⁹y³⁷1

| Pirate

| Quinla-sepsepyo

| L⁵y⁴⁹-12

| Viking

| Nela-siweyo

| L¹⁹y⁶¹-23

| Sepbisa-quadtrigu

| s¹⁴g¹²12

| Twethebila-sequinyo

! colspan="2" | [[Color name|Color Name]]

| Sasa-birugugu

| ssrrg⁴2

| Laquinzo-atriyo

| Lz⁵y³2

| Lazozotritriyo

| Lzzy⁹-2

| Sasa-tribiru-agugu

| ssr⁶gg-2

| [[Aura]] (2023)

| Laquadzo-agu

| Lz⁴g2

| Lazoquinyo

| Lzy⁵-2

|  

| Lala-trizo-aquingu

| LLz³g⁵2

| [[Aura]] (2022)

| Laruruleyo

| Lrry¹¹-4

| [[Slendrisma]], slendric schisma

| Sasa-qinbiru

| ssr¹⁰-4

| [[User:Xenllium|Xenllium]] (2024)

| [[Septiennealimma]]

| Tritrizo

| z⁹5

| [[Eliora]], [[Flora Canou]] (2021)

| Latriru-asepyo

| Lr³y⁷-4

| [[Skeetsma]]

| Lala-rutrigu

| LLrg³-2

| Quinzo-ayoyo

| z⁵yy3

| Lasepru-atritriyo

| Lr⁷y⁹-6

| Laquinru-agu

| Lr⁵g-4

| Bizozogu

| z⁴gg3

| Quadtribisa-netritrizo

|

| Laquadbiru-aquinyo

| Lr⁸y⁵-6

| Zoquadyo

| zy⁴1

| [[Septiruthenia]]

| Nela-lequadzo

| L¹⁹z⁴⁴8

| Trisa-seprugu

| s³r⁷g⁷1

| Trizogugu

| z³g⁶3

|  

| Saquadtrizo-asepgu

| sz¹²g⁷8

| Quinbisaru

| s¹⁰r7

| Laleruyo

| Lr¹¹y¹¹-8

| Twenetri-zotrigu

|

| Latritriru-ayo

| Lr⁹y-6

| Quinla-zoyoyo

| L⁵zzy-4

| Sabiruquinyo

| srry¹⁰-3

| Satwethezo-atritribigu

| sz²³g¹⁸15

| trisa-quinbiru-agu (441&1848&3125)

| Trisa-quinbiru-agu

| s³r¹⁰g-3

|  

| Satritribiru-athiseyo

| sr¹⁸y³⁷-14

! colspan="2" | [[Color name|Color Name]]

|  

|  

| Lururuyo

| 1urry-2

| [[4000/3993|Wizardharry comma, pine comma]]

| Triluyo

| 1u³y³1

| Salozo

| s1oz2

| [[Aura]] (2020)

| Saloquadgu

| s1og⁴2

| Tribilo

| 1o⁶-2

| [[Aura]] (2020)

| [[Tinge]]

| Lolotrizo

| 1ooz³2

| [[Gayle Young]] (2018), [[Todd Harrop]] (2020)

| Salururu

| s1urr1

| 11-cycle schisma, 37-11-comma

| Quinsa-thiselu

| s⁵1u³⁷9

| Undecimal hemifourths comma

| Bilozogugu

| 1oozzg⁴2

|  

| Sesdecal

| Laquadlu-asepyo

| L1u⁴y⁷-2

| Quadla-trilu

| L⁴1u³-3

| [[Aura]] (2021)

| Hemigail

| Quadlo-atriru

| 1o⁴r³-3

|  

| Loloruyoyo

| 1ooryy-2

| Saquinlu-azo

| s1u⁵z3

| [[Aura]] (2020)

| Bilorugu

| 1oorrgg-2

| [[Margo Schulter]] (2000)

| Odiheim

| Luluquinzo-aquadgu

| 1uuz⁵g⁴4

| [[Syntonisma]]

| Trisa-lusepyo

| s³1uy⁷2

| {{Monzo| 30 -27 7 0 -1 }}

| Satribilo-agu

| s1o⁶g1

| {{Monzo| -1 -11 -1 0 6 }}

| Laquadlu-arurugu

| L1u⁴rrg-2

| {{Monzo| -2 15 -1 -2 -4 }}

| Quadlo-asepru-ayoyo

| 1o⁴r⁷yy-5

| {{Monzo| -2 2 2 -7 4 }}

| Sasa-quinbilo-azozo

| ss1o¹⁰zz2

| {{Monzo| 1 -26 0 2 10 }}

{| class="wikitable center-3"

! colspan="2" | [[Color name|Color Name]]

| Sathoyo

| s3oy2

| Sathuquinlu

| s3u1u⁵2

| Thuquadyo

| 3uy⁴-2

| Bithogu

| 3oogg2

| Lathuru

| L3ur-2

| Trithu-aloyoyo

| 3u³1oyy-2

| Thululuzoyoyo

| 3u1uuzyy1

| Tholozotrigu

| 3o1ozg³2

| Trithoru-ayo

| 3o³r³y-2

| Sathutrizogu

| s3uz³g³3

| [[User:Jerdle|Jerdle]], [[Aura]] (2023)

| Tholotriru-agu

| 3o1or³g-2

| [[2080/2079|Ibnsinma]]

| Tholuruyo

| 3o1ury1

| [[Margo Schulter]] (2012)

| Sathotriyo

| s3uy³1

| [[Aura]] (2021)

| [[4096/4095|Schismina]]

| Sathurugu

| s3urg1