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This song explores both utonality and otonality
portions of the tonality diamond. The piece
starts out in F minor, with a scale that includes
the tones F, G--, Ab, A#, C, D++, which are the ratios
of 4:3, 16:11, 8:5, 16:9, 1:1, and 8:7. It shifts
after a while to the same melodies in A# major,
using the tones A#, C, D, E-, G++, which are
ratios 16:9, 10:9, 4:3, 14:9, 1:1, 11:9. The
tones in common with F minor are C, F, and A#.
More modulations take place to other parts of
the tonality diamond. |
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