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Textbook Of Harmonics, Volume I & II. (two volumes) (New)
by Kayser, Hans
Publisher: Sacred Sciences
Book ID: SSCI01, SSCI01
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Translated by Ariel Godwin. Edited by Joscelyn Godwin.
German Edition 1950. English Translation 2006. 630 pages, 485 illustrations. The first release in our project to translate the complete works of Hans Kayser. The Textbook is THE MOST IMPORTANT WORK ON HARMONICS AND VIBRATION EVER WRITTEN! This course is the equivalent to a Ph.D. in technical and historical harmonics and musicology, and there is no work ever created or conceived which touches the depth of knowledge and scientific application of this masterpiece! It surveys the entire history of harmonics through all ancient societies and authors, developing a Science of Harmonics & Vibration, stemming from Pythagorean origins, elaborating how the entire universe is constructed upon Harmonic Principles.
Translation Society Preface; Translator’s & Editor’s Preface; Foreword; Introduction; THE THEOREMS OF THE TONE-NUMBER: The Monochord; Tone-Value & Tone-Number; String Lengths – Wavelength; Vibration-Numbers = Frequencies; The Reciprocity of Waves = String Length and Frequency (Space and Time); Rhythm and Periodicity; Resonance; Interference; Haptic – Ektypic – Prototype – Value-Form – Theorem, Step – Being – Value; Coincidences of the Theorems of Tone-Number and Their Value-Formal Ambivalences; THE THEOREMS OF THE TONE SERIES: The Overtone Series; The Undertone Series; The Whole Numbers; The Quanta; The Intervals; Harmonic Logarithms; Convergence – Divergence And Perspective – Equidistance; THE THEOREMS OF THE TONE-GROUPS: THE PARTIAL-TONE DIAGRAM; The Partial-Tone Coordinates; The Rationing of Partial-Tone Coordinates; Major and Minor Series of the Partial-Tone Coordinates; Polarity; The Equal-Tone Lines; Value-Forms for 0/0, 1/1, and the Equal-Tone Lines; Index and Generator; Parabola, Hyperbola, Ellipse; The Proportions; Harmonic Proportions in Architecture; Trinity; Variation Models; Combination Models; Polar Diagrams; Tone-Spirals and Tone Curves; The Complete Partial-Tone Diagram; Logarithmic Arrangements; Tone-Space; Sound-Images. SELECTIONS: Scales; Chords; Ektypics for Melodies and Chords; Cadence; Counterpoint; Directions; Interval Powers and Constants; Symmetry; Space and Time; Enharmonics; Tempering; Number Symbolism; Tolerance: a Dialogue (and Review); Hierarchy; Norm; Harmonic Cosmogony; Summary of the History of Harmonics; Afterword; Partial-Tone Logarithms; Great Table of Ratios; The Author’s Publications.
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