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Harmony / Transformations / Metamorphoses / Mixing / 0 and 1


Sequence of 2 Metamorphoses The only possibility is 01 (10 being the same sequence starting on 1 rather than on 0). The 01 sequence If we start on the usual C⁶TONIC chord, (which remains the same with 0), the next would be G⁷which changes (with 1) to G⁶, then Dm⁷, (which remains the same with 0), then G⁶which changes (with 1) to G⁷, and back to the original C⁶, producing a 4-chord sequence, composed ofC⁶ -G⁶/Dm⁷ -G⁷, which repeats indefinitely, below-left, what we could call an enlarged, "wider" swing fromC⁶ toDm⁷ . . . . This swing would evidently be more natural and more useful in thenucleus of the major mode, a fifth lower, with the chord sequenceF⁶ -C⁶-G⁷ -C⁺⁷(COUNTER-TONIC-DOMINANT-TONIC). However, it might be simpler to merely inverse the Metamorphosis sequence (10 rather than 01) - Starting on the usual C⁶TONIC chord, which changes (with 1) to C⁺⁷, the next would be F⁶, (which remains the same with 0), then C⁺⁷, which changes (with 1) to C⁶, then G⁷(which remains the same with 0), and back to the original C⁶, producing a 4-chord sequence, composed of C⁺⁷--F⁶ / C⁶-G⁷ , which repeats indefinitely, above-right (seeVoice-leading). All this is evidently transposable to any key, in any othermode. Sequence of 3 Metamorphoses There are 2 possibilities here - 011 and 001 (all other combinations being the result of starting elsewhere) The 011 sequence If we start on the usual C⁶TONIC chord, (which remains the same with 0), the next would be G⁷which changes (with 1) to G⁶, then Dm⁷which changes (with 1) to Dm⁶, then Am⁷, (which remains the same with 0), then Dm⁶which changes (with 1) to Dm⁷, then G⁶which changes (with 1) to G⁷, and back to the original C⁶, producing a 6-chord sequence, composed ofC⁶ -G⁶-Dm⁶/Am⁷ -Dm⁷-G⁷, which repeats indefinitely, an even "wider" swing than with the 01 sequence, fromC⁶ toAm⁷ . This swing very conveniently travels from the Diatonic Major Mode TONIC (C) to theDiatonic Minor ModeTONIC (Am) and back, with ANTE-2-ANTE-1-DOMINANT / TONIC in each mode, evidently transposable to any key. To see theVoice-leading The 100 sequence If we start on the Em⁷ANTE-3 chord, which has been changed (with 1) from Em^-6, the next would be Am^-6, (which remains the same with 0), then back to Em⁷, (which remains the same with 0), then again back to Am^-6which changes (with 1) to Am⁷, then Dm⁶, (which remains the same with 0), then Am⁷, (which remains the same with 0), then Dm⁶which changes (with 1) to Dm⁷, then G⁶, (which remains the same with 0), then Dm⁷, (which remains the same with 0), then G⁶which changes (with 1) to G⁷, then C⁶, (which remains the same with 0), then G⁷, (which remains the same with 0), then C, chord of rest, producing a 13-chord sequence, composed ofEm⁷ -Am^-6-Em⁷/Am⁷ -Dm⁶-Am⁷/Dm⁷ -G⁶-Dm⁷/G⁷ -C⁶-G⁷/C, which completes the half-circle from Em⁷to C, ornamented by "mini-swings" along the way. It would evidently have been quite simple to start on C⁶andgo right around the complete circlewith 100. All this is possible in any other key. Sequence of 4 Metamorphoses There are 3 possibilities here - 0111, 0001, and 0011 (all other combinations being the result of starting elsewhere). The 0111 sequence If we start on the usual C⁶TONIC chord, (which remains the same with 0), the next would be G⁷which changes (with 1) to G⁶, then Dm⁷which changes (with 1) to Dm⁶, then Am⁷which changes (with 1) to Am^-6, then Em⁷, (which remains the same with 0), then Am^-6which changes (with 1) to Am⁷, then Dm⁶which changes (with 1) to Dm⁷, then G⁶which changes (with 1) to G⁷, and back to the original C⁶(which remains the same with 0), producing a 8-chord sequence, composed ofC⁶ -G⁶-Dm⁶-Am^-6/Em⁷ -Am⁷-Dm⁷-G⁷, which repeats indefinitely, an even "wider" swing than with the 011 sequence. This swing travels from the Diatonic Major Mode TONIC (C) to theDiatonic Minor ModeCOUNTER (Em) and back, evidently transposable to any key. The 0001 sequence If we start on the usual C⁶TONIC chord, (which remains the same with 0), the next would be G⁷(which remains the same with 0), then C⁶(which remains the same with 0), then G⁷which changes (with 1) to G⁶, then Dm⁷, (which remains the same with 0), then G⁶, (which remains the same with 0), then Dm⁷, (which remains the same with 0), then G⁶which changes (with 1) to G⁷, and back to the original C⁶(which remains the same with 0), producing an 8-chord sequence, composed ofC⁶ -G⁷-C⁶-G⁶/Dm⁷ -G⁶-Dm⁷-G⁷, which repeats indefinitely. We have here another version of our 01 swing, because the first two 0s cancel each other, producing smaller "mini-swings" along the way (as in the 100 circle). This swing would evidently be more natural and more useful in the nucleus of the major mode, with the chord sequenceF⁶ -C⁺⁷-F⁶-C⁶/G⁷ -C⁶-G⁷-C⁺⁷, a fifth lower. However, it might be simpler to merely inverse the Metamorphosis sequence (1000 rather than 0001). like other examples, transposable to any key, in any othermode. The 1100 sequence If we start on the usual C⁶TONIC chord, which changes (with 1) to C⁺⁷, the next would be F⁶which changes (with 1) to F⁺⁷, then Bm^-6-5, (which remains the same with 0), then back to F⁺⁷, (which remains the same with 0), then back again to Bm^-6-5which changes (with 1) to Bm^7-5, then Em^-6which changes (with 1) to Em⁷, then Am^-6, (which remains the same with 0), then Em⁷, (which remains the same with 0), then Am^-6which changes (with 1) to Am⁷, then Dm⁶which changes (with 1) to Dm⁷, then G⁶, (which remains the same with 0), then Dm⁷, (which remains the same with 0), then G⁶which changes (with 1) to G⁷, then C⁶which changes (with 1) to C⁺⁷, then F⁶, (which remains the same with 0), then C, chord of rest, producing a 16-chord sequence, composed ofC⁺⁷-F⁺⁷ -Bm^-6-5-F⁺⁷-Bm^7-5-Em⁷ -Am^-6-Em⁷-Am⁷-Dm⁷ -G⁶-Dm⁷-G⁷-C⁺⁷ -F⁶-C, which completes the full circle, ornamented by "mini-swings" along the way. To see theVoice-leading Sequence of 5 Metamorphoses There are 6 possibilities here - 01111, 00011,01010, 10000, 11100, and 01011 (all other combinations being the result of starting elsewhere) The 01111 sequence The 00011 sequence The 01010 sequence The 10000 sequence The 11100 sequence The 01011 sequence

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