Copper comma
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| Factorization | 2-481 × 3261 × 529 |
| Monzo | [-481 261 29⟩ |
| Size in cents | 13.352928¢ |
| Name | copper comma |
| Color name | L41y29-33, fowela-theneyo negative 33rd |
| FJS name | [math]-[/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]\sqrt{nd}[/math]) |
~2.66783 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.