Copper comma
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Factorization | 2^{-481} × 3^{261} × 5^{29} |
Monzo | [-481 261 29⟩ |
Size in cents | 13.352928¢ |
Name | copper comma |
Color name | L^{41}y^{29}-33, fowela-theneyo negative 33rd |
FJS name | [math]-[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} nd) | 962.011 |
Weil height (log_{2} max(n, d)) | 962.022 |
Wilson height (sopfr (nd)) | 1890 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.07811 bits |
Comma size | small |
open this interval in xen-calc |
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.