129/128

Interval information

Ratio	129/128
Subgroup monzo	2.3.43 [-7 1 1⟩
Size in cents	13.47271¢
Names	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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.68981 bits
Comma size	small
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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.

See also

• Small comma
• List of superparticular intervals