The Foundations of Music

Preface; 1. The reduction of instrumental tones to a single series of pure tones; 2. Analytic description and theory of the series of pure tones; 3. Degrees and theory of consonance and dissonance (fusion); 4. The relations of fusion to beats, partials, and difference-tones; 5. The consonance of successive tones; 6. The nature of interval; 7. The musical range of pitch; 8. Our point of view towards the auditory field; 9. The relative importance of synthesis and of analysis; 10. The equivalence of octaves; 11. Consecutive fifths; 12. The system of facts regarding consecutives; 13. The reason for the prohibition of consecutives; 14. Exceptions to the prohibition of consecutives; 15. Hidden octaves and fifths, etc.; 16. A fourth from the bass; 17. Common chords or concordance; 18. Melodic motion in relation to degrees of consonance; 19. Melody (or paraphony) as the primary basis of music; 20. The factors that modify paraphony; 21. Retrospect and the outlook for theory; 22. Synopsis or outlines of instruction; 23. The objectivity of beauty; 24. Aesthetics as a pure science; Works cited; Index of authors; Index of subjects.