ISBN-13: 9781502324214 / Angielski / Miękka / 2014 / 76 str.
The definitive text on polytonality. Describes the difference between polymodality and polytonality. Refutes theoretical errors of the past. Describes and illustrates both integrative and strict forms. Integrative: Illustrates how to build a keyset to obtain chords and clusters. Describes how to achieve Rich Fifths and Sevenths even if your keyset produces blocked harmony. Shows method of enharmonic diversification for intervals of thirds, fifths and sevenths for tertiary arrangements of keysets. The method of enharmonic diversification of intervals of the sixth, fourth, and second/ninth and the difference of diversified sextal harmony vs. inverting your keyset/intervals. Describes diversifying intervals with diatonic variants. Strict: Describes composing with each instrument adhering to separate keys. Describes obtaining rich harmonies through inverting the functions of keys/intervals even if your keys produce blocked harmony. Illustrates the difference of inversions due to each instrument being in different keys. Illustrates the function of converging lines which produce polytonality. Has several notational examples and a partial score of an integrative piece and a score of a full movement of a strict piece. This is the preliminary text edition with several notational examples. The fully notated full text edition coming soon > 2016