129/128: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
|Ratio = 129/128
| Ratio = 129/128
|Name = 43-limit comma (HEJI)
| Name = 43-limit comma (HEJI)
|Color name = 43o1, fotho unison
| Color name = 43o1, fotho unison
|Comma = yes
| Comma = yes
}}
}}
'''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 quadragesimotertial interval.
'''129/128''', or the '''43-limit Johnston comma (HEJI)''', 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)]]. It is significant in the [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby quadragesimotertial interval.
 
[[Category:Commas named after composers]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]
[[Category:Commas named after music theorists]]

Revision as of 17:23, 28 November 2024

Interval information
Ratio 129/128
Subgroup monzo 2.3.43 [-7 1 1
Size in cents 13.47271¢
Name 43-limit comma (HEJI)
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, or the 43-limit Johnston comma (HEJI), 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). It is significant in the Functional Just System and Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby quadragesimotertial interval.