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MUSICAL HYPERSPACE
copyright Mark Friedman, 2003, 2007
This is a somewhat radical reconstruction of traditional chord theory. The usual
progression of keys by 5ths is presented in the center circle. (Each entry is
for all variants of any given chord: major, minor, seventh, augmented,
diminished etc.) The usual progressions of from key to key are represented in
two ways. The movement from subdominant to dominant to ground is represented in
the usual way by movement around the circle. Skips from CM to Am for example are
shown in the outer rings.
Here's the real innovation here. If you go up the scale in
increments of 4 half tones you get a 4 note chord that is an extended
diminished. THERE ARE ONLY THREE SUCH CHORDS!!
D1: C - Eb - Gb -
A
D2: Db - E - G - Bb
D3: D - F - Ab -
B
These chords represent MUSICAL HYPERSPACE. It is possible to
jump from one key to another using these chords as a bridge, tunnel or worm
hole. So for example:
C - D1 - Gb - Db -
D3 - Bb - F - G - C
or
Cm - D1 - Ebm -
D1 - GbM - D1
- Dbm - D2 - B - E - A - D - G
This second example can produce music like this:
Musical Hyperspace can be used to explain many of the innovative
chord progressions found in classical and modern music. And it can be used to
create new ones!!!
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