Prismatic Harmony
The Method
Most harmony is taught as a list of things to memorise. This is the other way round: a small number of shapes, and everything else as a move away from one of them.
Ask most players why a tritone substitution works and you get the rule back: B7 and F7 share their third and seventh, so one can stand in for the other. That is true, and it explains nothing. It does not tell you why the ear accepts the swap, why some substitutions sound resolved and others sound like a mistake, or what else is available in the same move.
Prismatic Harmony answers those by starting somewhere unusual: with the one chord that has no home. A diminished seventh divides the octave into four equal parts, so it has no root to pull toward and no key to belong to. Every other chord in the family is that chord with one note nudged. Once you can see the center, a substitution stops being a rule to recall and becomes a distance to hear.
Start here
Where the method actually lives
These pages are the argument. The instrument is the app: the Reharmonization Engine applies the same family logic to a chart you choose, in every key, and shows you the voicing under your hands while it plays.
Free download
The Jazz Voicing Cheat Sheet
One page. The rootless voicings working pianists actually use, in every key, with the fingerings. Free.
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