Copper comma: Difference between revisions
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Created page with "{{Infobox Interval |Monzo = -481 261 29 |Name = copper comma |Comma = yes }} '''Copper comma''', or alternately '''29-atom''' is a 5-limit comma which is to 29edo as is th..." |
okay if this is wrong i'm going to need help but vector arithmetic should check out |
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|Monzo = -481 261 29 | |Monzo = -481 261 29 | ||
|Name = copper comma | |Name = copper comma | ||
|FJS name = - | |||
|Comma = yes | |Comma = yes | ||
}} | }} | ||
'''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. A circle of 29 of the | 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. | ||
A circle of 29 of the sharpened fifths equal to {{monzo|-537 -326 9}}, 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. The tiny interval between the two, {{monzo|-536 325 9}} can be called [[29-schisma]]. | |||
Revision as of 22:35, 23 April 2023
| Interval information |
reduced harmonic
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.
A circle of 29 of the sharpened fifths equal to [-537 -326 9⟩, 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. The tiny interval between the two, [-536 325 9⟩ can be called 29-schisma.