129/128: Difference between revisions

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{{Infobox Interval

| Ratio = 129/128

| Name = 43-limit comma ~~(HEJI)~~

| Name = 43rd-partial chroma, 43-limit Johnston comma

| Color name = 43o1, fotho unison

| Comma = yes

}}

'''129/128''', or ~~the~~ '''43-limit Johnston comma ~~(HEJI)~~''', is a 2.3.43 subgroup comma. It is the amount by which the octave-reduced 43rd harmonic [[43/32]] exceeds the [[4/3|perfect fourth (4/3)]]. It is ~~significant~~ in the [[Functional Just System]] and [[Helmholtz-Ellis notation]] as ~~the formal comma~~ to translate a Pythagorean interval to a nearby quadragesimotertial interval.

'''129/128''', the '''43rd-partial chroma''' or '''43-limit Johnston comma''' is a 2.3.43 subgroup comma. It is the amount by which the octave-reduced 43rd harmonic [[43/32]] exceeds the [[4/3|perfect fourth (4/3)]].

This interval is the 43rd-partial chroma (43-limit formal comma) used to express 43-limit intervals in the [[Functional Just System]] and [[Helmholtz-Ellis notation]], as well as extended [[Ben Johnston's notation]]. It is significant to translate a Pythagorean interval to a nearby quadragesimotertial interval.

== Etymology ==

This interval was named the 43rd-partial chroma or 43-limit Johnston comma by [[Stephen Weigel]] in 2023.

== See also ==

* [[Small comma]]

* [[List of superparticular intervals]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 129/128
-| Name = 43-limit comma (HEJI)
+| Name = 43rd-partial chroma, 43-limit Johnston comma
 | Color name = 43o1, fotho unison
 | Comma = yes
 }}
-'''129/128''', or the '''43-limit Johnston comma (HEJI)''', is a 2.3.43 subgroup comma. It is the amount by which the octave-reduced 43rd harmonic [[43/32]] exceeds the [[4/3|perfect fourth (4/3)]]. It is significant in the [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby quadragesimotertial interval.
+'''129/128''', the '''43rd-partial chroma''' or '''43-limit Johnston comma''' is a 2.3.43 subgroup comma. It is the amount by which the octave-reduced 43rd harmonic [[43/32]] exceeds the [[4/3|perfect fourth (4/3)]].
+This interval is the 43rd-partial chroma (43-limit formal comma) used to express 43-limit intervals in the [[Functional Just System]] and [[Helmholtz-Ellis notation]], as well as extended [[Ben Johnston's notation]]. It is significant to translate a Pythagorean interval to a nearby quadragesimotertial interval.
+== Etymology ==
+This interval was named the 43rd-partial chroma or 43-limit Johnston comma by [[Stephen Weigel]] in 2023.
+== See also ==
+* [[Small comma]]
+* [[List of superparticular intervals]]
 [[Category:Commas named after composers]]
 [[Category:Commas named after music theorists]]