An Aristotelian Analysis of the Elements, Principles and Causes of the Art of Music

abstract accident accidental action aesthetic analogy analysis Aristotle arithmetic series chromatic scale combinations composed composition consonance and dissonance constitutive contraries definition determined diatonic scale differentia direction distinction duration magnitude eight tones elements essence establish tonality existence five tones follows form of proportion formal cause formal principle four terms four tones function genus identical indicate instance interval involve irregularity Joseph Yasser kind less loud-soft major second mean proportion metaphysics metre metrical proportion middle and end multiple musical motion musical proportion nature of music necessarily non-practical arts number of tones object of imitation octave painting particular perception perfect proportion pitch pleasure and pain possible practical arts principle of proportion proportion of duration proportion of four proportionality proportions of tones proposition quarter tone scale rational relation requires rest rhythmic formations sense set of tones single proportion subject matter successive proportion tetrachord things third three tones tion tonal continuum understand unit unity