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This book provides extensive commentary and an English translation of 17th-century German music theorist Andreas Werckmeister's final treatise, the Musicalische Paradoxal-Discourse. Topics discussed include theological reflections on music, numerology in musical intervals, music notation and solmization, and tunings.
List of contents
Table of Contents
Series Editor's Foreword
Preface
Part I
Introduction to the Musicalische Paradoxal-Discourse
Werckmeister Biography
Werckmeister Treatises
Contents and Sources of the Musicalische Paradoxal-Discourse
Part II Translation of the Musicalische Paradoxal-Discourse
Title page and dedicatory comments
Preface
Index and contents of the chapters
Chapter 1 An introduction to this work: the division of the musical proportions
Chapter 2 A testimonial through mathematics and Holy Scriptures themselves, that the course of the heavens are harmonic
Chapter 3 How the mortal body and soul are harmonically created, and furthermore, on the influence of the stars
Chapter 4 Why humans find such pleasure in music, and whence composers and musicians arise
Chapter 5 As the image of God, humans are to praise the Creator with music. Buildings and eras in scripture are also harmonic wonders of spiritual music.
Chapter 6 On the abuse of music, which the authorities could abolish
Chapter 7 How the inclination of a people determines its attitude towards music, and how the heathens were so scattered in their views on music
Chapter 8 On the music of the early Christians, and the subsequent changes
Chapter 9 The great difficulties arising out of solmization and the linear staff-system
Chapter 10 Proof that the linear staff system is accompanied by great difficulties
Chapter 11 Proof of how everything can be played or sung through the twelve note-names
Chapter 12 Further proof, that the linear staff system has many more variants than the twelve note-names
Chapter 13 How the temperaments can be examined, and on German tablature
Chapter 14 How the chromatic system is to be applied to the tempered keyboard
Chapter 15 On the disorder of hymn singing
Chapter 16 On the simplicity of old organs
Chapter 17 How the musical modes can be differentiated
Chapter 18 On the nature and property of the harmonic numerals
Chapter 19 On the hidden meaning of the numerals
Chapter 20 On the properties of the harmonic numerals, when they themselves are subdivided
Chapter 21 On the subdivision of the harmonic numerals
Chapter 22 On the properties of the dissonant musical numerals
Chapter 23 How the harmonic radical numerals are transformed into a tempered tuning, and of their hidden meaning
Chapter 24 A comparison of incorrect tempered tuning with false Christianity
Chapter 25 How the temperament can be perfect or imperfect, and how the same can be compared with Christianity
Chapter 26 The Lord's Prayer in the musical proportional numerals
Bibliography
About the author
About the author
Translated with commentary by Dietrich Bartel
Summary
This book provides extensive commentary and an English translation of 17th-century German music theorist Andreas Werckmeister’s final treatise, the Musicalische Paradoxal-Discourse. Topics discussed include theological reflections on music, numerology in musical intervals, music notation and solmization, and tunings.