129/128: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
|Ratio = 129/128 | | Ratio = 129/128 | ||
|Name = 43-limit comma | | Name = 43rd-partial chroma, 43-limit Johnston comma | ||
|Color name = 43o1, fotho unison | | Color name = 43o1, fotho unison | ||
|Comma = yes | | Comma = yes | ||
}} | }} | ||
'''129/128''', or | '''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]] | |||
Latest revision as of 03:29, 11 April 2025
| Interval information |
43-limit Johnston comma
reduced,
reduced harmonic
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 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.