Let's put the horse back
in front of the cart
The best way to start Harmony is with Bi-directional Tetrads disposed in the Series of Fifths.
Structure of the World of Pitch
Much has been said and written on the subject of Harmony, but most of it is, unfortunately, faulty and deeply ingrained in
our academic traditions. As examples
we might state (a) the fundamental position accorded to the scale, rather than to the series of fifths, and (b) the
priority accorded to the Triad as a complete harmonic entity, rather than considering it an incomplete
Tetrad.
A Cosmic Symbiosis
of the Vertical (Simultaneous)
and the Horizontal (Successive)
The Structure of Pitch consists of
- Chrominicism,
- Generating Basic Materials,
- Just Intonation.
- The Four Forms of Harmony,
- Chord Symbols,
- Jordan Triangles and
- Pete's Paradox.
All things which can be put off until later
Rhythm and Harmony can very well be seen at the same time, since they operate quite independently of each other and will only
meet in the Melody Volume.
Navigation Hint
The titles of the menu columns are active and can serve collectively as a Level-1-Chapter menu, while each column serves individually as a
Level-2-Chapter (or even Level-3-Chapter) menu.