Harmony / Transformations / Metamorphoses / Individual / Preface







Meta-
morphosis

Meta-
morphosis

Change of
Direction

Change of
Direction

Change of
Position

Change of
Position

Interior
Exterior

Interior
Exterior

Change of
Note

Change of
Note

Orbit
Exchange

Orbit
Exchange

1

1

Yes

Yes

0 (none)

0 (none)

Interior

Interior

Orbit 3

Orbit 3

1-0

1-0

2

2

Yes

Yes

1 Frame

1 Frame

Interior

Interior

1 Orbit 0

1 Orbit 0

2-3

2-3

3

3

Yes

Yes

2 Frames

2 Frames

Exterior

Exterior

2 Orbits 0

2 Orbits 0

0-2, 1-3

0-2, 1-3

4

4

Yes

Yes

3 Frames

3 Frames

Exterior

Exterior

None

None

0-3, 1-2

0-3, 1-2

A chord may be subjected to 4 possible metamorphoses which may change
     its direction,
     its position in the series of fifths (measured in chordFRAMEs), 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 ofIV 6into the chord ofII 7.

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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