129/128: Difference between revisions

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{{Infobox Interval

| Ratio = 129/128

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

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

| Color name = 43o1, fotho unison

| Comma = yes

}}

'''129/128''', the '''~~Magikarp~~ 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)]].

'''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.

~~== Temperaments ==~~

Tempering out this comma in the 43-limit leads to the '''[[No-fives subgroup temperaments #Magikarp|Magikarp temperament]]'''. In the 2.3.43 subgroup, it can be viewed as a diatonic-based temperament in which the perfect fifth represents both [[3/2]] and [[64/43]] (43rd subharmonic).

== Etymology ==

~~The name ''Magikarp comma'' was named by [[User:Xenllium|Xenllium]] in 2025. It refers to [[wikipedia:Magikarp and Gyarados|Magikarp]] (National Pokédex number #0129), which~~ was ~~in turn~~ named ~~after a fictional character in~~ the ~~''[[wikipedia:Pokémon|Pokémon]]'' franchise (''Pokémon'' species). Before that, this interval was known as~~ 43rd-partial chroma or 43-limit Johnston comma ~~(given~~ by [[Stephen Weigel]] in 2023).

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

== See also ==

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[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

~~[[Category:Commas named after fictional characters]]~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 129/128
-| Name = Magikarp comma, 43rd-partial chroma, 43-limit Johnston comma
+| Name = 43rd-partial chroma, 43-limit Johnston comma
 | Color name = 43o1, fotho unison
 | Comma = yes
 }}
-'''129/128''', the '''Magikarp 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)]].
+'''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.
-== Temperaments ==
-Tempering out this comma in the 43-limit leads to the '''[[No-fives subgroup temperaments #Magikarp|Magikarp temperament]]'''. In the 2.3.43 subgroup, it can be viewed as a diatonic-based temperament in which the perfect fifth represents both [[3/2]] and [[64/43]] (43rd subharmonic).
 == Etymology ==
-The name ''Magikarp comma'' was named by [[User:Xenllium|Xenllium]] in 2025. It refers to [[wikipedia:Magikarp and Gyarados|Magikarp]] (National Pokédex number #0129), which was in turn named after a fictional character in the ''[[wikipedia:Pokémon|Pokémon]]'' franchise (''Pokémon'' species). Before that, this interval was known as 43rd-partial chroma or 43-limit Johnston comma (given by [[Stephen Weigel]] in 2023).
+This interval was named the 43rd-partial chroma or 43-limit Johnston comma by [[Stephen Weigel]] in 2023.
 == See also ==
@@ Line 21: / Line 18: @@
 [[Category:Commas named after composers]]
 [[Category:Commas named after music theorists]]
-[[Category:Commas named after fictional characters]]