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 }}

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

| L⁴y³⁵-9

| sg¹⁴4

| [[Gene Ward Smith]] (2002)

| y¹⁹-4

| [[Gene Ward Smith]] (2002)

| L⁵y¹⁷-7

| [[Tricot comma]]

| s⁴y³3

| Hermann von Helmholtz, Alexander Ellis (1875)

| L⁶g-5

|[[Neon comma]]

|Laquinquinbigu

|

|

|[21 60 -50⟩

|1.6144

|[[Eliora]] (2024)

| LLy³⁴-8

| ssg¹⁵5

| L³g¹⁷2

| sy¹⁸-3

| s⁶g³¹10

| L⁸g¹⁹-3

|[[Niobium comma]]

|[-875 492 41⟩

|0.72269

|[[Eliora]] (2023)

| 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

| Lz⁴g2

| Lzy⁵-2

|  

| LLz³g⁵2

| [[Neptunisma]]

| Lrry¹¹-4

| [[Slendrisma]], slendric schisma

| ssr¹⁰-4

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

| z⁹5

| Lr³y⁷-4

| LLrg³-2

| z⁵yy3

| Lr⁷y⁹-6

| Lr⁵g-4

| z⁴gg3

| ¹⁵z⁶-8

|

| Lr⁸y⁵-6

| zy⁴1

| L¹⁹z⁴⁴8

| s³r⁷g⁷1

| z³g⁶3

|  

| sz¹²g⁷8

| s¹⁰r7

| Lr¹¹y¹¹-8

| Twenetri-zotrigu

|

| ssr¹⁹-8

|  

| Lr⁹y-6

| L⁵zzy-4

| srry¹⁰-3

| sz²³g¹⁸15

| s³r¹⁰g-3

| sr¹⁸y³⁷-14

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

| ss1uugg3

| s1o³yy1

| 1u³y³1

| s1og⁴2

| 1o⁶-2

|[[Reef comma]]

|Salubizogu

|s1uzzgg3

|200704/200475

|[12 -6 -2 2 -1⟩

|1.9764

|[[Dawson Berry]] (2022)

| 1ooz³2

| [[Gayle Young]] (2018) and [[Todd Harrop]] (2020) for ''tinge''<br>[[User:Lériendil|Lériendil]] (2024) for ''argyria''

|  

|  

| s⁵1u³⁷9

| 1oozzg⁴2

| [[User:Tristanbay|Tristan Bay]] (2024) for ''Seascape comma''

| Sesdecal

| L1u⁴y⁷-2

| L³1o³g-3

| 171885556953/171798691840

| L⁴1u³-3

| Hemigail

| 1o⁴r³-3

|[[Sossmarvel comma]]

| L³1ur⁷y¹⁴-8

| 9730975341796875 / 9726998192586752

|{{Monzo| -30 13 14 -7 -1 }}

|[[Dawson Berry]] (2022)

|[[Ptolemi-nicema]]

| s¹⁰1u⁶⁹y¹³⁸-8

|{{Monzo| 137 -138 138 0 -69 }}

|[[User:Eliora|Eliora]] (2023)

| 1uuz⁶4

| s1u⁵z3

| 1oorrgg-2

| [[Margo Schulter]] (2000)

| Odiheim

| 1uuz⁵g⁴4

|[[Countercentisma]]

|{{Monzo| -1 -3300 2700 0 -300 }}

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

|[[Spoob]]

|Tribiluzozogu

|1u⁶z¹²g⁶8

|27682574402 / 27680640625

|[ 1 0 -6 12 -6⟩

|0.12094

|[[User:Eliora|Eliora]] (2023)

| [[Syntonisma]]

| s³1uy⁷2

| s1o⁶g1

| L1u⁴rrg-2

| L1o¹⁶z¹²4

| 1o⁴r⁷yy-5

| ss1o¹⁰zz2

{| class="wikitable center-3"

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

| s3u1u⁵2

| 3uy⁴-2

| 3oogg2

| 3u³1oyy-2

| [[17303/17280]]

| Thotrilo-agu unison

| 3o1o³g1

| {{Monzo| -7 -3 -1 0 3 1}}

|  

| 3o1ozg³2

| 3o1uz³g3

| s³3o3

| 3489660928/3486784401

| 3o³r³y-2

| s3uz³g³3

| 13640319/13631488

| 3o1or³g-2

| 3u⁴zzg1

| [[Margo Schulter]], [[Gene Ward Smith]] (2012)<br>[[Flora Canou]] (2023)

| s3uy³1

| 3o1u³g2

| L3u³y⁶-3

| [[10648/10647|Harmonisma]]

| 3uu1o³r-2

| s3u⁵z⁵g⁵4

| 281974669312 / <br>281950621875

| 3o⁷1o⁷zg2

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

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

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

| 17uzzyy1

| 17o3urryy-2

| [[57375/57344|Laser comma]]

| L17ory³-2

| 17u1uuz³2

| 17urry⁴-3

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

| [[4914/4913|Baladisma

]]

| 17u³3oz-2

| 17ur³-3

| L17u¹¹g-7

| 171382426877952 / <br>171359481538165

| Centisma

| 2.3.17 {{Monzo|-1001 -400 400}}

| CompactStar (2023)

| 17o3o1uzg³3

| 17u³⁵y⁷⁰-29

| [[28561/28560]]

| 17u3o⁴rg1

|  

| 17uu3oz⁴2

|  

|  

| L17u3u1uz⁴g2

| 17o3o³r⁵g-2