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.)  

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 }}

|  

| {{monzo| -1054 665 }}

| {{monzo| 24727 -15601 }}

| {{monzo| -50508 31867 }}

| 0.000112

| [[Aura]] (2022)

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

| L⁴y³⁵-9

| sg¹⁴4

| [[Gene Ward Smith]] (2002)

| y¹⁹-4

| [[Gene Ward Smith]] (2002)

| L⁵y¹⁷-7

| [[Tricot comma]]

| s⁴y³3

| 32805/32768

| Hermann von Helmholtz, Alexander Ellis (1875)

| L⁶g-5

| LLy³⁴-8

| Luna comma, hemithirds comma

| ssg¹⁵5

| L³g¹⁷2

| sy¹⁸-3

| s⁶g³¹10

| L⁸g¹⁹-3

| Kwazy

| L⁴y¹⁶-6

| sg³³7

| y⁵¹-9

| s⁵yy4

| L⁹y¹⁴-9

| s¹⁰g⁴⁷15

| L⁴g³⁵4

| L⁴⁵y-31

| s⁹y³⁷1

| L⁵y⁴⁹-12

| L¹⁹y⁶¹-23

| s¹⁴g¹²12

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

| ssrrg⁴2

| Lz⁵y³2

| Lzzy⁹-2

| ssr⁶gg-2

| [[Aura]] (2023)

| Lz⁴g2

| Lzy⁵-2

|  

| LLz³g⁵2

| [[Aura]] (2022)

| Lrry¹¹-4

| [[Septiennealimma]]

| z⁹5

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

| Lr³y⁷-4

| LLrg³-2

| z⁵yy3

| Lr⁷y⁹-6

| Lr⁵g-4

| z⁴gg3

|

| Lr⁸y⁵-6

| zy⁴1

| [[Septiruthenia]]

| L¹⁹z⁴⁴8

| s³r⁷g⁷1

| z³g⁶3

|  

| sz¹²g⁷8

| s¹⁰r7

| Lr¹¹y¹¹-8

| Twenetri-zotrigu

|

| Lr⁹y-6

| L⁵zzy-4

| srry¹⁰-3

| sz²³g¹⁸15

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

| s³r¹⁰g-3

|  

| sr¹⁸y³⁷-14

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

|  

|  

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

| 1u³y³1

| [[Aura]] (2020)

| 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

| [[Aura]] (2020)

| 1oorrgg-2

| [[Margo Schulter]] (2000)

| Odiheim

| 1uuz⁵g⁴4

| [[Syntonisma]]

| s³1uy⁷2

| s1o⁶g1

| L1u⁴rrg-2

| 1o⁴r⁷yy-5

| ss1o¹⁰zz2

{| class="wikitable center-3"

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

| s3u1u⁵2

| 3uy⁴-2

| 3oogg2

| 3u³1oyy-2

| 3o1ozg³2

| 3o³r³y-2

| s3uz³g³3

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

| 3o1or³g-2

| [[2080/2079|Ibnsinma]]

| [[Margo Schulter]] (2012)

| s3uy³1

| [[Aura]] (2021)

| 3o1u³g2

| [[10648/10647|Harmonisma]]

| 3uu1o³r-2

| s3u⁵z⁵g⁵4

| 281974669312 / <br>281950621875

| 3o⁷1o⁷zg2

| 0.014052

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

| [[561/560|Monardisma]], tsaharuk comma

| [[Scott Dakota]] (2023) for ''monardisma''

| [[Aura]] (2020)

| [[Aura]] (2023)

| 17uzzyy1

| 17o3urryy-2

| [[Aura]] (2021)

| [[57375/57344|Laser comma]]

| L17ory³-2

| 17u1uuz³2

| 17urry⁴-3

| [[Aura]] (2023)

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

| [[4914/4913|Baladisma

]]

| 17u³3oz-2

| 17ur³-3

| L17u¹¹g-7

| 171382426877952 / <br>171359481538165

| Centisma