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 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.)  

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

| {{monzo| -569 359 }}

| [[sasktel comma]]

| {{monzo| 485 -306 }}

| [[satanic comma]]

| {{monzo| -1054 665 }}

| {{monzo| 24727 -15601 }}

| {{monzo| -50508 31867 }}

| [[archangelic comma]]

| Wa-190537 comma

| 0.000112

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

| dodifo

| L⁴y³⁵-9

| {{monzo| -67 -9 35 }}

| [[vishnuzma]], semisuper

| sg¹⁴4

| 6115295232/6103515625

| {{monzo| 23 6 -14 }}

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

| y¹⁹-4

| 19073486328125/19042491875328

| {{monzo| -14 -19 19 }}

| [[vavoom comma]]

| L⁵y¹⁷-7

| {{monzo| -68 18 17 }}

| [[tricot comma]]

| s⁴y³3

| 68719476736000/68630377364883

| {{monzo| 39 -29 3 }}

| [[schisma]]

| 32805/32768

| {{monzo| -15 8 1 }}

| [[counterschisma]]

| L⁶g-5

| {{monzo| -69 45 -1 }}

| [[septendecima]]

| LLy³⁴-8

| hemithirds comma, lunama

| ssg¹⁵5

| 274877906944/274658203125

| {{monzo| 38 -2 -15 }}

| [[minortone comma]], minortonma

| L³g¹⁷2

| {{monzo| -16 35 -17 }}

| [[ennealimma]]

| sy¹⁸-3

| 7629394531250/7625597484987

| {{monzo| 1 -27 18 }}

| astro

| s⁶g³¹10

| {{monzo| 91 -12 -31 }}

| [[Gaster temperament|gaster comma]]

| L⁸g¹⁹-3

| {{monzo| -70 72 -19 }}

| kwazy

| L⁴y¹⁶-6

| {{monzo| -53 10 16 }}

| whoosh

| sg³³7

| {{monzo| 37 25 -33 }}

| egads

| y⁵¹-9

| {{monzo| -36 -52 51 }}

| [[monzisma]]

| s⁵yy4

| {{monzo| 54 -37 2 }}

| fortune

| L⁹y¹⁴-9

| {{monzo| -107 47 14 }}

| gross

| s¹⁰g⁴⁷15

| {{monzo| 144 -22 -47 }}

| senior

| L⁴g³⁵4

| {{monzo| -17 62 -35 }}

| 665&3684 comma

| L⁴⁵y-31

| {{monzo| -500 314 1 }}

| raider

| s⁹y³⁷1

| {{monzo| 71 -99 37 }}

| pirate

| L⁵y⁴⁹-12

| {{monzo| -90 -15 49 }}

| viking

| L¹⁹y⁶¹-23

| {{monzo| -251 69 61 }}

| s¹⁴g¹²12

| selenia

| {{monzo| -433 -137 280 }}

| titania

| {{monzo| 2746 -521 -827 }}

| quark

| {{monzo| -573 237 85 }}

| scamp

| {{monzo| -5836 4293 -417 }}

| rover

| {{monzo| 1634 1502 -1729 }}

| rascal

| {{monzo| -7470 2791 1312 }}

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

! Denomination

| ssrrg⁴2

| 67108864/66976875

| Lz⁵y³2

| Lzzy⁹-2

| 95703125/95551488

|  

|  

| 2147483648/2144153025

| [[Aura]] (2023)

| Lz⁴g2

| [[Horwell]]

| Lzy⁵-2

|  

|  

|

| 1640558367/163840000

| [[Aura]] (2022)

| Lrry¹¹-4

| 48828125/48771072

| [[Septiennealimma]]

| z⁹5

| 40353607/40310784

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

| Lr³y⁷-4

| LLrg³-2

| 14348907/14336000

| z⁵yy3

| Lr⁷y⁹-6

| 52734375/52706752

| Lr⁵g-4

| 43046721/43025920

| z⁴gg3

|

| Lr⁸y⁵-6

| 184528125/184473632

| zy⁴1

| [[Septiruthenia]]

| L¹⁹z⁴⁴8

| s³r⁷g⁷1

|  

| z³g⁶3

|  

| sz¹²g⁷8

| 13841287201/13839609375

| s¹⁰r7

|  

| Lr¹¹y¹¹-8

| 3955078125/3954653486

| Twenetri-zotrigu

|

| {{monzo| 86 174 -261 87 }}

| Lr⁹y-6

| 645700815/645657712

| {{monzo| -4 17 1 -9 }}

| quinla-zoyoyo (12&53&612)

| L⁵zzy-4

| {{monzo| -55 30 2 1 }}

|  

| srry¹⁰-3

| 78125000/78121827

| sz²³g¹⁸15

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

| s³r¹⁰g-3

|  

| sr¹⁸y³⁷-14

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

! Denomination

|  

| [[4000/3993|Wizardharry]]

| 1u³y³1

| [[Aura]] (2020)

| [[5632/5625|Vishdel]]

| s1og⁴2

| 1o⁶-2

| Aura (2020)

| [[Tinge]]

| 1ooz³2

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

| s⁵1u³⁷9

| Undecimal hemifourths comma

| 1oozzg⁴2

|  

| Sesdecal

| L1u⁴y⁷-2

| L⁴1u³-3

|  

| [[Aura]] (2021)

| Hemigail

| 1o⁴r³-3

| s1u⁵z3

| 117440512/117406179

| [[Aura]] (2020)

| 1oorrgg-2

|  

| Odiheim

| 1uuz⁵g⁴4

| s1o⁶g1

| L1u⁴rrg-2

| 14348907/14348180

| 1o⁴r⁷yy-5

| ss1o¹⁰zz2

|  

{| class="wikitable center-3"

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

! Denomination

| {{monzo| 13 -12 1 0 0 1 }}

| s3u1u⁵2

| {{monzo| 21 0 0 0 -5 -1 }}

| 3uy⁴-2

| {{monzo| -4 -1 4 0 0 -1 }}

| 3oogg2

| {{monzo| 2 -3 -2 0 0 2 }}

|  

| {{monzo| -3 6 0 -1 0 -1 }}

| 3u³1oyy-2

| {{monzo| 3 0 2 0 1 -3 }}

| {{monzo| 0 2 2 1 -2 -1 }}

| 3o1ozg³2

| {{monzo| -3 0 -3 1 1 1 }}

| 3o³r³y-2

| {{monzo| -5 0 1 -3 0 3 }}

|  

| Lummic comma

| 3o1or³g-2

| {{monzo| 2 1 -1 -3 1 1 }}

| [[2080/2079|Ibnsinma]]

| {{monzo| 5 -3 1 -1 -1 1 }}

| [[Margo Schulter]] (2012)

| s3uy³1

| {{monzo| 11 -9 3 0 0 -1 }}

| [[Aura]] (2021)

| {{monzo| 12 -2 -1 -1 0 -1 }}

| {{monzo| -7 -1 2 0 -1 2 }}