Copper comma

Interval information

Factorization	2-481 × 3261 × 529
Monzo	[-481 261 29⟩
Size in cents	13.35293¢
Name	copper comma
Color name	L41y29-33, fowela-theneyo negative 33rd
FJS name	[math]\displaystyle{ - }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	962.011
Weil height (log2 max(n, d))	962.022
Wilson height (sopfr(nd))	1890
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.66783 bits
Comma size	small
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Copper comma, or alternately 29-atom is a 5-limit comma which is to 29edo as is the Kirnberger's atom is to 12edo.

Temperaments

Tempering it out results in the rank-2 copper temperament, which splits the octave into 29 parts, and the reduced generator is the difference between a more precise fifth and the 29-tone-tempered one, just as atomic does to 12edo. See: 29th-octave temperaments#Copper.

A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: [-16 9 1⟩), differs from 17 octaves by the copper comma. The difference is that since 29edo is an above-pythagorean temperament, the copper fifth is sharp of 3/2. Notably, in the case of copper, the comma which sharpens the fifth to be close to 29edo's is still the schisma, 32805/32768.