Diasem: Difference between revisions
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This provides a clear motivation for the diatonic-based mode names. | This provides a clear motivation for the diatonic-based mode names. | ||
=== | === Negative-s blackdye === | ||
Consider right-hand diasem in a tuning with positive step sizes. There exists a way of superimposing a left-hand diasem mode on the right hand diasem so that the right-hand diasem and the left-hand diasem overlap in 8 notes, yielding a scale of 10 notes, possibly after changing the mode of right-hand diasem. For example, superimposing LMLSLMLSL (RH Aeolian) and LMLSLMLLS (LH Dark Aeolian) gives LMLSLMLS(L-S)S (in fifth-based notation on C: C D Ebv Fv F G Abv Bbv Bb Cv C, where v denotes lowering by s). Note that the union is achiral; we have removed the chirality of diasem by taking the "best" possible union of LH and RH diasem. This new scale has two chains of perfect fifths each spanning 5 notes: | Consider right-hand diasem in a tuning with positive step sizes. There exists a way of superimposing a left-hand diasem mode on the right hand diasem so that the right-hand diasem and the left-hand diasem overlap in 8 notes, yielding a scale of 10 notes, possibly after changing the mode of right-hand diasem. For example, superimposing LMLSLMLSL (RH Aeolian) and LMLSLMLLS (LH Dark Aeolian) gives LMLSLMLS(L-S)S (in fifth-based notation on C: C D Ebv Fv F G Abv Bbv Bb Cv C, where v denotes lowering by s). Note that the union is achiral; we have removed the chirality of diasem by taking the "best" possible union of LH and RH diasem. This new scale has two chains of perfect fifths each spanning 5 notes: | ||