MULTIPLE DIVISION OF THE OCTAVE AND THE TONAL RESOURCES OF 19-TONE TEMPERAMENT
BY
MAYER JOEL MANDELBAUM, 1961
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TITLE, ACKNOWLEDGEMENTS, CONTENTS, TABLE OF RECORDED ILLUSTRATIONS, PREFACE
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PART ONE: REASONS FOR THE ADVOCACY OF MULTIPLE DIVISION
1. THE ACOUSTICAL BASIS FOR MULTIPLE DIVISION
2. HISTORICAL PRECEDENTS FOR MULTIPLE DIVISION
3. MULTIPLE DIVISION AS THE RESULT OF EVOLUTION
PART TWO: THE WRITINGS OF THE ADVOCATES OF MULTIPLE DIVISION
4. MULTIPLE DIVISION BASED ON 12 TONE TEMPERAMENT
5. EQUAL TEMPERAMENT BASED ON FIFTHS AND THIRDS
6. UNUSUAL SUGGESTIONS FOR EQUAL TEMPERAMENT
7. MULTIPLE DIVISION WITHOUT EQUAL TEMPERAMENT
8. THE ANTECEDENTS AND EARLY ADVOCACY OF 19-TONE TEMPERAMENT
12. AN ACOUSTICAL COMPARISON OF 19-TONE SYSTEMS
13. GENERAL DISCUSSION OF METHODS FOR CHOOSING A SYSTEM OF MULTIPLE DIVISION AND SOME CONCLUSIONS
PART THREE: HYPOTHETICAL AND EXPERIMENTAL MATERIALS
14. A THEORY OF HARMONY BASED ON SYMETRICAL SCALES WITH QUASI-EQUAL INTERVALS IN 19-TONE TEMPERAMENT
15. NINE PRELUDES FOR TWO PIANOS IN 19-TONE TEMPERAMENT
SUPPLEMENT: THE GENERALIZED KEYBOARD, GLOSSARY, BIBLIOGRAPHY
TOWARD THE EXPANSION OF OUR CONCEPTS OF INTONATION from Perspectives of New Music.
