Hemipyth: Difference between revisions
m →Signposts: Add the remaining low-damage intervals. |
Add otonal segments to pluck chords out of. →Notation |
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A prototypical 5L 2s 5|1 (Ionian) scale would be spelled C, D, E, F, G, A, B, (C). | A prototypical 5L 2s 5|1 (Ionian) scale would be spelled C, D, E, F, G, A, B, (C). | ||
Simple otonal chords can be plucked out of the harmonic segment 1:2:3:4:6:8:9:12:16:18:24:27:32:36:48:54:64:72:81:96:108:128:... e.g. 6:8:9 is a sus4 chord. | |||
=== Neutral thirds === | === Neutral thirds === | ||
The 2.√(3/2) part can be notated using [[neutral chain-of-fifths notation]]. This introduces a neutral interval quality between major and minor, semisharps (a.k.a. demisharps) etc. | The 2.√(3/2) part can be notated using [[neutral chain-of-fifths notation]]. This introduces a neutral interval quality between major and minor, semisharps (a.k.a. demisharps) etc. | ||
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Or equivalently with semiquartal nicknames: | Or equivalently with semiquartal nicknames: | ||
C, η, D, φ, E{{demiflat2}}, χ, F{{demisharp2}}, γ, G, δ, A{{demiflat2}}, ψ, B{{demiflat2}}, ω, (C) | C, η, D, φ, E{{demiflat2}}, χ, F{{demisharp2}}, γ, G, δ, A{{demiflat2}}, ψ, B{{demiflat2}}, ω, (C) | ||
Simple hemipyth chords can be plucked out of the square root of the Pythagorean segment 1:√2:√3:2:√6:√8:3:√12:4:√18:√24:√27:√32:6:√48:√54:8:√72:9:√96:√108:√128:... e.g. 2:√6:3 is a neutral chord where spicy tension can be added by including the semioctave for 2:√6:√8:3 with no increase in complexity as far as the generator of the subgroup is concerned. | |||
== Musical significance == | == Musical significance == | ||