129/128: Difference between revisions

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{~~| class="wikitable"~~

{{Infobox Interval

|+Interval ~~information~~

| Ratio = 129/128

|Ratio

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

|129/128

| Color name = 43o1, fotho unison

|-

| Comma = yes

~~|[[Smonzos and svals|Subgroup monzo]]~~

}}

~~|2.3.~~43 [-~~7 1 1⟩~~

'''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)]].

|-

|~~Size in [[Cent|cents]]~~

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.

~~|13.4727065¢~~

|-

== Etymology ==

~~|Names~~

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

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

|}

== See also ==

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

* [[Small comma]]

* [[List of superparticular intervals]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|+Interval information
+| Ratio = 129/128
-|Ratio
+| Name = 43rd-partial chroma, 43-limit Johnston comma
-|129/128
+| Color name = 43o1, fotho unison
-|-
+| Comma = yes
-|[[Smonzos and svals|Subgroup monzo]]
+}}
-|2.3.43 [-7 1 1⟩
+'''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)]].
-|-
-|Size in [[Cent|cents]]
+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.
-|13.4727065¢
-|-
+== Etymology ==
-|Names
+This interval was named the 43rd-partial chroma or 43-limit Johnston comma by [[Stephen Weigel]] in 2023.
-|43-limit comma (HEJI)
-|}
+== See also ==
-'''129/128''', or the '''43-limit Johnston comma (HEJI)''', is a 2.3.43 subgroup comma. It is the amount by which 43/32 (the 43rd harmonic) exceeds the perfect fourth (4/3). It is significant in [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby 43-limit (prefix???) interval.
+* [[Small comma]]
+* [[List of superparticular intervals]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]