Copper comma: Difference between revisions

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|Monzo = -481 261 29
|Monzo = -481 261 29
|Name = copper comma
|Name = copper comma
|Color name = L<sup>41</sup>y<sup>29</sup>-33, fowela-theneyo negative 33rd
|FJS name = -
|FJS name = -
|Comma = yes
|Comma = yes
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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]].
'''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==
==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.  
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: {{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.
A circle of 29 of the sharpened fifths equal to 98415/65536 (monzo: {{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.
[[Category:Commas named after elements]]