As a natural consequence of the increasing chromaticism of the time, the previous system of "functional tonality" which gave music much of its sense of order began to lose its effectiveness. A diatonic set of seven pitches which defined a key became so diluted by chromaticism that tonality lost its meaning. A mathematical system for achieving a sense of order was needed; complete equality of all twelve chromatic pitches and the emancipation of dissonance were also important objectives of the new system. |