Meta- morphosis
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Change of Direction
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Change of Position
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Interior Exterior
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Change of Note
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Orbit Exchange
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1
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Yes
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0 (none)
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Interior
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Orbit 3
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1-0
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2
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Yes
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1 Frame
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Interior
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1 Orbit 0
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2-3
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3
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Yes
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2 Frames
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Exterior
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2 Orbits 0
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0-2, 1-3
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4
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Yes
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3 Frames
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Exterior
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None
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0-3, 1-2
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A chord may be subjected to 4 possible metamorphoses which may change its direction, its position in the series of fifths (measured in chord FRAMEs), and its interior or exterior position with respect to the two swings. Some of its orbits may change note, and two of its notes may exchange orbits.
Metamorphoses 1 and 4 are the most useful. Metamorphosis 1 (on each chord) for producing the "Circle", and Metamorphosis 4 for changing, say, the chord of IV6 into the chord of II7.
Open or Closed Metamorphoses may be presented either open, where both forms are heard, one after the other, and the changes perceived, or closed, where only one form is heard, the first or the last, and the changes are not perceived.
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