Blackdye: Difference between revisions
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"Blackdye" is a name given by [[User:ks26|ks26]]. The name is a pun on "blackwood" and "diatonic" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[blackwood]][10] ([[5L 5s]]). | "Blackdye" is a name given by [[User:ks26|ks26]]. The name is a pun on "blackwood" and "diatonic" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[blackwood]][10] ([[5L 5s]]). | ||
== Properties == | |||
The fifth (3L + M + 2S) of blackdye must be a diatonic fifth. | |||
(To see this: The diatonic chroma = 7 fifths - 4 octaves = 21L + 7M + 14S - (20L + 8M + 12S) = L - M + 2S. Since L - M >= 0, this must always be nonnegative, so the fifth must be >= 4\7. The diatonic[5] chroma = 3 octaves - 5 fifths = 15L + 6M + 9S - 15L - 5M - 10S = M - S >= 0, so the fifth must be <= 3\5.) | |||
== Tunings == | == Tunings == | ||
{| class="wikitable" | {| class="wikitable" | ||