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== Temperaments ==
== 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).
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).
 
=== 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 ==

Revision as of 12:44, 10 April 2025

Interval information
Ratio 129/128
Subgroup monzo 2.3.43 [-7 1 1
Size in cents 13.47271¢
Names Magikarp comma,
43rd-partial chroma,
43-limit Johnston comma
Color name 43o1, fotho unison
FJS name [math]\displaystyle{ \text{P1}^{43} }[/math]
Special properties superparticular,
reduced,
reduced harmonic
Tenney height (log2 nd) 14.0112
Weil height (log2 max(n, d)) 14.0225
Wilson height (sopfr(nd)) 60
Comma size small
Open this interval in xen-calc

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).

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.

See also