Unnoticeable comma: Difference between revisions

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'''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]]. It is improbable that even a trained listener would be able to notice these intervals, and as such they are a prime target for psychoacoustically informed [[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. Given this, a noticeable 3-limit comma that arguably deserves inclusion is the [[mercator comma]], corresponding to using [[53edo]] for the circle of fifths.)

'''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 [[just-noticeable difference]] (JND) of human pitch perception, as illustrated by the research of [[Aaron Andrew Hunt]]<ref>[http://musictheory.zentral.zone/huntsystem2.html#2 H-Pi Instruments | ''Hunt System Scale §The JND'']</ref>. It is improbable that even a trained listener would be able to notice these intervals, and as such they are a prime target for psychoacoustically informed [[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. Given this, a noticeable 3-limit comma that arguably deserves inclusion is the [[mercator comma]], corresponding to using [[53edo]] for the circle of fifths.)

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]].

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| [[Septimal ennealimma]]

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| 3s1u7y2

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-'''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]]. It is improbable that even a trained listener would be able to notice these intervals, and as such they are a prime target for psychoacoustically informed [[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. Given this, a noticeable 3-limit comma that arguably deserves inclusion is the [[mercator comma]], corresponding to using [[53edo]] for the circle of fifths.)
+'''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 [[just-noticeable difference]] (JND) of human pitch perception, as illustrated by the research of [[Aaron Andrew Hunt]]<ref>[http://musictheory.zentral.zone/huntsystem2.html#2 H-Pi Instruments | ''Hunt System Scale §The JND'']</ref>. It is improbable that even a trained listener would be able to notice these intervals, and as such they are a prime target for psychoacoustically informed [[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. Given this, a noticeable 3-limit comma that arguably deserves inclusion is the [[mercator comma]], corresponding to using [[53edo]] for the circle of fifths.)
 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]].
@@ Line 120: / Line 120: @@
 | {{Monzo| -15 8 1 }}
 | 1.9537
-| Hermann von Helmholtz, Alexander Ellis (1875)
+| [[Hermann von Helmholtz]], [[Alexander Ellis]] (1875)
 |-
 | [[Aluminium comma]]
@@ Line 437: / Line 437: @@
 | [[User:Xenllium|Xenllium]] (2021)
 |-
-| [[Slendrisma]], slendric schisma
+| [[Slendroschisma]], slendric schisma
 | Sasa-quinbiru
 | ss10r-4
@@ Line 443: / Line 443: @@
 | {{monzo| 36 -5 0 -10 }}
 | 1.9659
-| [[User:Xenllium|Xenllium]] (2024)
+| [[User:Xenllium|Xenllium]] (2024), <br>modified by [[Flora Canou]] (2025)
 |-
 | [[Septimal ennealimma]]
@@ Line 896: / Line 896: @@
 | [[User:Eliora|Eliora]] (2023)
 |-
-| [[Syntonisma]]
+| [[Syntonoschisma]]
 | Trisa-lusepyo
 | 3s1u7y2
@@ Line 1,209: / Line 1,209: @@
 | {{Monzo| 13 5 -5 -2 0 -1 }}
 | 0.026960
-| [[User:Recentlymaterialized|Recentlymaterialized]]
+| [[User:Recentlymaterialized|Recentlymaterialized]] (2024)
 |-
 | [[Grossmisma]]
@@ Line 1,394: / Line 1,394: @@
 | 17oo3ugg2
 | 2601/2600
-| {{Monzo| -3 2 -2 0 0 1 3 }}
+| {{Monzo| -3 2 -2 0 0 -1 2 }}
 | 0.66573
 | [[Flora Canou]] (2023)
@@ Line 2,176: / Line 2,176: @@
 | 23oozzg3
 | 25921/25920
-| 2.3.5.7.23 {{monzo| 6 -4 -1 2 2 }}
+| 2.3.5.7.23 {{monzo| -6 -4 -1 2 2 }}
 | 0.066790
 | [[Flora Canou]] (2023), modified by [[Lériendil]] (2024)