ABACABA JI scales: Difference between revisions
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== 729-limit ABACABA scales with steps > 20c == | == 729-limit ABACABA scales with steps > 20c == | ||
One scale under such constraints is a degenderate case, wherein A = C: the pythagorean diatonic scale, where A = C = 9/8, and B = 256/243. This scale is well-formed, and (5, 2) SNS. Specifically it is SNS (2/1, 3/2)[7]. All other scales can be described as SNS (2/1, 2/T, A), or equivalently as SNS (2/1, T, A), where T=ABA, the outer interval of the tetrachord. | One scale under such constraints is a degenderate case, wherein A = C: the pythagorean diatonic scale, where A = C = 9/8, and B = 256/243. This scale is well-formed, and (5, 2) SNS. Specifically it is SNS (2/1, 3/2)[7]. All other scales can be described as SNS (2/1, 2/T, A), or equivalently as SNS (2/1, T, A), where T = ABA, the outer interval of the tetrachord. | ||
=== Tetrachord to 4/3 -> C = 9/8 === | === Tetrachord to 4/3 -> C = 9/8 === | ||