Copper comma: Difference between revisions
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→Temperaments: this is indeed the correct fifth and it works out |
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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. | ||
A circle of 29 of the sharpened fifths equal to {{monzo| | A circle of 29 of the sharpened fifths equal to {{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. | ||
Revision as of 23:32, 18 May 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 [-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.