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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. | 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 '''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). | |||
=== 2.3.43 Magikarp === | |||
[[Subgroup]]: 2.3.43 | |||
[[Comma list]]: 129/128 | |||
{{Mapping|legend=1| 1 0 7 | 0 1 -1 }} | |||
: Mapping generators: ~2, ~3 | |||
[[Optimal tuning]] (CTE): ~2 = 1＼1, ~3/2 = 700.8959 | |||
{{Optimal ET sequence|legend=1| 5, 7, 12 }} | |||
[[Badness]]: 0.000476 | |||
== Etymology == | == 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. | 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. | ||
== See also == | == See also == | ||
Revision as of 12:38, 10 April 2025
| Interval information |
43rd-partial chroma,
43-limit Johnston comma
reduced,
reduced harmonic
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 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 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).
2.3.43 Magikarp
Subgroup: 2.3.43
Comma list: 129/128
Mapping: [⟨1 0 7], ⟨0 1 -1]]
- Mapping generators: ~2, ~3
Optimal tuning (CTE): ~2 = 1＼1, ~3/2 = 700.8959
Optimal ET sequence: 5, 7, 12
Badness: 0.000476
Etymology
The name Magikarp comma was named by Xenllium in 2025. It refers to Magikarp (National Pokédex number #0129), which was in turn named after a fictional character in the Pokémon franchise (Pokémon species). Before that, this interval was known as 43rd-partial chroma or 43-limit Johnston comma.