58edo: Difference between revisions
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Infobox precision, renew template for prime error table |
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{{Infobox ET | {{Infobox ET | ||
| Prime factorization = 2 × 29 | | Prime factorization = 2 × 29 | ||
| Step size = 20. | | Step size = 20.6897¢ | ||
| Fifth = 34\58 (703. | | Fifth = 34\58 (703.4¢) (→ [[29edo|17\29]]) | ||
| Major 2nd = 10\58 ( | | Major 2nd = 10\58 (206.9¢) | ||
| Semitones = 6:4 ( | | Semitones = 6:4 (124.1¢ : 82.8¢) | ||
| Consistency = 17 | | Consistency = 17 | ||
| Monotonicity = 23 | | Monotonicity = 23 | ||
}} | }} | ||
The '''58 equal divisions of the octave''' ('''58edo'''), or the '''58(-tone) equal temperament''' ('''58tet''', '''58et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 58 [[equal]]ly-sized steps of about 20.7 [[cent]]s each. | The '''58 equal divisions of the octave''' ('''58edo'''), or the '''58(-tone) equal temperament''' ('''58tet''', '''58et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 58 [[equal]]ly-sized steps of about 20.7 [[cent]]s each. | ||
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While the 17th harmonic is a cent and a half flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. 58 = 2 × 29, and 58 shares the same excellent fifth with [[29edo]]. | While the 17th harmonic is a cent and a half flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. 58 = 2 × 29, and 58 shares the same excellent fifth with [[29edo]]. | ||
{{ | === Prime harmonics === | ||
{{Harmonics in equal|58}} | |||
== Intervals == | == Intervals == | ||