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]]

| [[decovulture]]

| ssrrg⁴2

| 67108864/66976875

| {{monzo| 26 -7 -4 -2 }}

| [[Rainy comma|rainy]]

| Lz⁵y³2

| {{monzo| -21 0 3 5 }}

| [[pontiqak]]

| Lzzy⁹-2

| 95703125/95551488

| {{monzo| -17 -6 9 2 }}

| [[pessoalisma]]

|  

|  

| 2147483648/2144153025

| {{monzo| 31 -6 -2 -6 }}

| [[mitonisma]]

| Lz⁴g2

| {{monzo| -20 7 -1 4 }}

| [[horwell]]

| Lzy⁵-2

| {{monzo| -16 1 5 1 }}

| [[forge comma]]

| [[neptunisma]]

| Lrry¹¹-4

| 48828125/48771072

| [[septiennealimma]]

| z⁹5

| 40353607/40310784

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

| [[meter]]

| Lr³y⁷-4

| {{monzo| -11 2 7 -3 }}

| [[skeetsma]]

| LLrg³-2

| 14348907/14336000

| {{monzo| -14 15 -3 -1}}

| [[wizma]]

| z⁵yy3

| {{monzo| -6 -8 2 5 }}

| [[supermatertisma]]

| Lr⁷y⁹-6

| 52734375/52706752

| {{monzo| -6 3 9 -7 }}

| [[trienstonisma]]

| Lr⁵g-4

| 43046721/43025920

| [[2401/2400|breedsma]]

| z⁴gg3

|

| [[supermasesquartisma]]

| Lr⁸y⁵-6

| 184528125/184473632

| [[ragisma]]

| zy⁴1

| {{monzo| -1 -7 4 1 }}

| [[septiruthenia]]

| L¹⁹z⁴⁴8

| {{monzo| -263 88 0 44 }}

| [[akjaysma]], 5\7 octave comma

| s³r⁷g⁷1

| {{monzo| 47 -7 -7 -7 }}

| [[Landscape comma|landscape]]

| z³g⁶3

| {{monzo| -4 6 -6 3 }}

| [[izar]], bapbo schismina

| sz¹²g⁷8

| 13841287201/13839609375

| {{monzo| 0 -11 -7 12 }}

| [[nanisma]]

| s¹⁰r7

| {{monzo| 109 -67 0 -1 }}

| Lr¹¹y¹¹-8

| 3955078125/3954653486

| {{monzo| -1 4 11 -11 }}

| Twenetri-zotrigu

|

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

| [[Starscape comma|starscape]]

| Lr⁹y-6

| 645700815/645657712

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

| quinla-zoyoyo (12&53&612)

| L⁵zzy-4

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

| [[Euzenius comma|euzenius]]

| srry¹⁰-3

| 78125000/78121827

| {{monzo| 3 -13 10 -2 }}

| sz²³g¹⁸15

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

| s³r¹⁰g-3

| {{monzo| 51 -13 -1 -10 }}

| termite

| sr¹⁸y³⁷-14

| neutrino

| {{monzo| 1889 -2145 138 424 }}

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

| [[540/539|swetisma]]

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

| [[4000/3993|wizardharry]]

| 1u³y³1

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

| [[symbiotic comma]]

| {{monzo| 8 -9 0 1 1 }}

| [[5632/5625|vishdel]]

| s1og⁴2

| {{monzo| 9 -2 -4 0 1 }}

| [[nexus comma]], nexisma

| 1o⁶-2

| {{monzo| -16 -3 0 0 6 }}

| 2.04265

| [[tinge]]

| 1ooz³2

| {{monzo| -9 -4 0 3 2 }}

| 1.29360

| [[olympia]]

| {{monzo| 17 -5 0 -2 -1 }}

| 1.25524

| s⁵1u³⁷9

| {{monzo| 128 0 0 0 -37 }}

| undecimal hemifourths comma

| 1oozzg⁴2

| {{monzo| -8 3 -4 2 2 }}

| sesdecal

| L1u⁴y⁷-2

| {{monzo| -4 1 7 0 -4 }}

| [[frameshift comma]]

| L⁴1u³-3

|  

| {{monzo| -34 28 0 0 -3 }}

| hemigail

| 1o⁴r³-3

| {{monzo| -7 1 0 -3 4 }}

| [[3025/3024|lehmerisma]]

| {{monzo| -4 -3 2 -1 2 }}

| [[quartisma]]

| s1u⁵z3

| 117440512/117406179

| {{monzo| 24 -6 0 1 -5 }}

| [[9801/9800|kalisma]], Gauss' comma

| 1oorrgg-2

| {{monzo| -3 4 -2 -2 2 }}

| odiheim

| 1uuz⁵g⁴4

| {{monzo| -1 2 -4 5 -2 }}

| [[parimo]]

| s1o⁶g1

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

| parisma

| L1u⁴rrg-2

| 14348907/14348180

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

| ultimo

| 1o⁴r⁷yy-5

| {{monzo| -2 2 2 -7 4 }}

| parismina

| ss1o¹⁰zz2

{| class="wikitable center-3"

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

| [[wilschisma]]

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

| bean

| s3u1u⁵2

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

| [[625/624|tunbarsma]]

| 3uy⁴-2

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

| [[676/675|island comma]]

| 3oogg2

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

| [[729/728|squbema]]

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

| [[2200/2197|petrma]]

| 3u³1oyy-2

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

| [[1575/1573|nicola]]

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

| [[1001/1000|sinbadma]]

| 3o1ozg³2

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

| [[cantonisma]]