Copper comma: Difference between revisions
→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|-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. | 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. | ||