Gann 8x8: Difference between revisions

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The most versatile pitches are 15/8 and 45/32 (D and A+ in ''Hyperchromatica''), each appearing in four different harmonic series, which is the reason ''Andromeda Memories'', the first movement of ''Hyperchromatica'', builds its jazz harmonies on D.<ref>https://kylegann.com/HyperchromaticaTech.html</ref>

On top of 5/4 (G in ''Hyperchromatica'')~~, and nowhere else~~, it is possible to build minor (6/5), major (5/4), and neutral thirds, using [[49/40]] for the neutral third (49/32 relative to 1/1) instead. This minor-neutral-major third sequence, as ~~Bb-Bb^-B~~, is the basis for the movement ''Busted Grooves'', and appears as an ostinato throughout. However, 9/8 (F+) comes close, with relative 11/9 (absolute 11/8, Ab^) for the neutral third, but [[7/6]] (absolute 21/16, Ab7+) for the minor third.

On top of 5/4 (G in ''Hyperchromatica''), it is possible to build minor (6/5), major (5/4), and neutral thirds, using [[49/40]] for the neutral third (49/32 relative to 1/1) instead of the more common 11/9. This minor-neutral-major third sequence, as Bb—Cb77+—B, is the basis for the movement ''Busted Grooves'', and appears as an ostinato throughout. However, 9/8 (F+) comes close, with relative 11/9 (absolute 11/8, Ab^) for the neutral third, but [[7/6]] (absolute 21/16, Ab7+) for the minor third.

== Works using this scale ==

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 The most versatile pitches are 15/8 and 45/32 (D and A+ in ''Hyperchromatica''), each appearing in four different harmonic series, which is the reason ''Andromeda Memories'', the first movement of ''Hyperchromatica'', builds its jazz harmonies on D.<ref>https://kylegann.com/HyperchromaticaTech.html</ref>
-On top of 5/4 (G in ''Hyperchromatica''), and nowhere else, it is possible to build minor (6/5), major (5/4), and neutral thirds, using [[49/40]] for the neutral third (49/32 relative to 1/1) instead. This minor-neutral-major third sequence, as Bb-Bb^-B, is the basis for the movement ''Busted Grooves'', and appears as an ostinato throughout. However, 9/8 (F+) comes close, with relative 11/9 (absolute 11/8, Ab^) for the neutral third, but [[7/6]] (absolute 21/16, Ab7+) for the minor third.
+On top of 5/4 (G in ''Hyperchromatica''), it is possible to build minor (6/5), major (5/4), and neutral thirds, using [[49/40]] for the neutral third (49/32 relative to 1/1) instead of the more common 11/9. This minor-neutral-major third sequence, as Bb—Cb77+—B, is the basis for the movement ''Busted Grooves'', and appears as an ostinato throughout. However, 9/8 (F+) comes close, with relative 11/9 (absolute 11/8, Ab^) for the neutral third, but [[7/6]] (absolute 21/16, Ab7+) for the minor third.
 == Works using this scale ==