文档介绍：Lydian-Dominant Theory
for
Improvisation
by
Norm Vincent

Lydian-Dominant Music Theory assumes the 12-Tone Tempered Scale
and the naturally occurring Physics of the OverTone Series. A small
amount of high school level Algebra is used in this treatise as Music
Theory is highly Mathematical. In fact, in Plato's Scheme of things,
Mathematics is derived from Music! Music (. organized vibrational
frequencies) is Primal. This sounds like modern physics to me.

Although one does not have to be a Mathematical Wizard to do Music,
exciting new research has shown a definite link between the two. Musical
Performance involves very high-level integrated mental processes we have
only begun to explore in a Scientific manner. I find it regrettable that
knowledge known to ancient peoples has e lost, suppressed, and
distorted. It is my intention that this treatise be a "first step" toward the
development of a truly scientific exploration of the Domain of Music and all
its ramifications. We will start with the basic physical facts.

The OverTone Series
The OverTone Series is a naturally occurring physically demonstrable set of
Frequencies present above any given pitch. The relative mix of these upper
frequencies is different for every tone generator. This is why different
musical instruments sound remarkably different even though they are
sounding the same pitch. The OverTone Series is infinite in extent, but in
practice, only the first few are important to us here as the relative volume of
the upper partials gradually es inaudible.

OverTone # 1 - 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ...
Note # 1 - 1 5 1 3 5 b7 1 2 3 #4 5 6 b7 7 1 ...
Note Name C - C G C E G Bb C D E F# G A Bb B C ...
Try this experiment on a Piano. Hold Down the Sustain Pedal. Strongly Hit
and Release a low 'C'. What do you hear? I hear all sorts of other strings
vibrating. The sounding strings are not accidental, they are strictly
det