MANDELBAUM'S THESIS

MULTIPLE DIVISION OF THE OCTAVE AND THE TONAL RESOURCES OF 19-TONE TEMPERAMENT

BY

MAYER JOEL MANDELBAUM, 1961 PDF FILE

TITLE, ACKNOWLEDGEMENTS, CONTENTS, TABLE OF RECORDED ILLUSTRATIONS, PREFACE

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 TEMPERAMET 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

9. THORVALD KORNERUP

11. JOSEPH YASSER

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