Superpyth: Difference between revisions
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| MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]], [[5L 12s]], [[5L 17s]] | | MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]], [[5L 12s]], [[5L 17s]] | ||
| Odd limit 1 = (2.3.7) 9 | Mistuning 1 = 9.09 | Complexity 1 = 12 | | Odd limit 1 = (2.3.7) 9 | Mistuning 1 = 9.09 | Complexity 1 = 12 | ||
| Odd limit 2 = 9 | Mistuning 2 = | | Odd limit 2 = 9 | Mistuning 2 = 13.63 | Complexity 2 = 27 | ||
}} | }} | ||
'''Superpyth''', sometimes called '''archy''' in the [[2.3.7 subgroup]], is a [[regular temperament|temperament]] where the [[generator]] is a [[3/2|perfect fifth]], tuned sharp such that a stack of two perfect fifths [[octave reduction|octave-reduced]] gives a whole tone that represents both [[9/8]] and [[8/7]], [[tempering out]] the septimal comma, [[64/63]]. Likewise, two perfect fourths give a minor seventh that represents both [[7/4]] and [[16/9]], so that intervals such as A–G and C–B♭ (notated in chain-of-fifths notation) are harmonic sevenths. Equivalently, three fourths reach a minor third that approximates [[7/6]], while four fifths reach a major third that approximates [[9/7]]. | '''Superpyth''', sometimes called '''archy''' in the [[2.3.7 subgroup]], is a [[regular temperament|temperament]] where the [[generator]] is a [[3/2|perfect fifth]], tuned sharp such that a stack of two perfect fifths [[octave reduction|octave-reduced]] gives a whole tone that represents both [[9/8]] and [[8/7]], [[tempering out]] the septimal comma, [[64/63]]. Likewise, two perfect fourths give a minor seventh that represents both [[7/4]] and [[16/9]], so that intervals such as A–G and C–B♭ (notated in chain-of-fifths notation) are harmonic sevenths. Equivalently, three fourths reach a minor third that approximates [[7/6]], while four fifths reach a major third that approximates [[9/7]]. | ||