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

BY

MAYER JOEL MANDELBAUM,  1961

 

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

10. "ARIEL"

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

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