{"product_id":"plato-s-timaeus-and-the-missing-fourth-guest-finding-the-harmony-of-the-spheres-9789004389915","title":"Plato’s Timaeus and the Missing Fourth Guest: Finding the Harmony of the Spheres","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn Plato's Timaeus and the Missing Fourth Guest, Donna M. Altimari Adler proposes a new Timaeus scale structure. She finds the harmonic cosmos, mathematically, at 35 A-36 D, regarding the text as a number generator. Plato's primary number sequence, she argues, yields a matrix defining a sophisticated harmony of the spheres. She stresses the Decad as the pattern governing both human perception and the generation of all things, in the Timaeus, including the World Soul and musical scale symbolizing it.  She precisely identifies Plato's \"fabric\" and its locus of severance and solves other thorny problems of textual interpretation.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface Acknowledgements List of Figures and Tables   Introduction: Plato’s Missing Fourth Guest   1 The Timaeus, the Decad, and the Harmonia: an Overview   2 Plato’s Construction of the World Soul: the Text as a Number Generator from 35 A to a Conundrum in 36 B  1 Timaeus 35 A  2 End of Timaeus 35 A–Beginning of Timaeus 35 C  3 Timaeus 35 C and 36 A  4 Timaeus 36 A (con’t) and 36 B   3 Solving the 36 B Conundrum: Deriving the Set of Sesquitertian Parts to Be Filled by Sesqui-Octave Intervals  1 Derivation of the Sesquitertian Parts   4 The Sesquioctave Operation within the Sesquitertian Parts  1 Deriving Matrix Numbers Not Generable from the 2:8\/3 Interval  2 Special Mathematical Features of the Number Set Reflected in Table 24   5 The Musical Significance of Plato’s Number Matrix: the Primary Timaeus Scale  1 Numerical Arrangement of the Timaeus Numbers with Key  2 The First Cognizable Fourth of Any Kind  3 The First Diatonic and Enharmonic Fourth  4 The “Model” Octave and the Perfect Disdiapason  5 Rise to the Perfect Disdiapason  6 First Octave of the Model Diatonic Octave Chain Containing Chromatic Elements  7 First Instances of Standard GPS, LPS, Diatonic Unmodulating Perfect System, and Unmodulating Perfect System in All Genera  8 First Instance of Properly Timaean GPS, LPS, Diatonic Unmodulating Perfect System, and Unmodulating Perfect System in All Genera  9 Possibilities for Modulation among Different Perfect Systems Arising within the Timaeus Numbers  10 The Primary Timaeus Scale  11 Some Other Modern Interpretations of the Timaeus Numbers and Timaeus Scale  12 The Feature of Ascending\/Descending Ambiguity in Plato’s Scale  13 Significance of the Chromatic Invasion for the Primary Timaeus Scale  14 The Orderliness of the Chromatic Invasion within the Primary Scale  15 Orderly Rise and Fall of Fifth Periodicity with the Decay of the Primary Scale  16 Grammar of Chromaticity in the Rise and Fall of Fifth Periodicity  17 Another Look at the Crantor Matrix  18 The Decad in the Rise, Wax, and Wane of the Primary Timaeus Scale   6 The Further Musical Significance of Plato’s Number Matrix: the Many “Secondary” Timaeus Scales and Asociated Musical Phenomena  1 The Many “Secondary” Diatonic Scales Hidden in the Fabric  2 The Many Chromatic Timaeus Scales Hidden in the Fabric  3 The Many Enharmonic Timaeus Scales Hidden in the Fabric   7 The Musical Data of the Timaeus Vis-à-vis the Cutting of the Fabric, the Making of the “Chi,” and the Cosmic Orbits  1 Division of the Material  2 Forming the χ Figure  3 Bending the Arms to Form Circular Shapes  4 The Uniform Motion of the Whole without Variation  5 Separation of the Arms into an Outer and Inner Circle  6 Separation and Definition of the Motions of Same and Different  7 Elevation of the Motion of the Same to Primacy  8 Sixfold Split of the Inner Movement of the Different, i.e., Octave Movement   8 Plato’s Generalization of the Timaean Harmonia in Laws   Concluding Remarks   Appendices   Appendix 1. Verification of the Diesis Remaining after Insertion of Two Sesquioctave Intervals into a Sesquitertian Part for the Sample Sesquitertian Part 2:8\/3   Appendix 2. The Archytan Alternative in the Pythagorean School   Appendix 3. Greater and Lesser Perfect Systems and Associated Questions   Appendix 4. Alternative Perfect Systems   Appendix 5. Two Overlapping Sequences of Doubles, Including Coincident Diatonic Octaves within Each, Bounded Entirely by Chromatic Factors of 1719926784   Appendix 6. Two Overlapping Sequences of Doubles, Including Coincident Diatonic Octaves within Each, Bounded Entirely by Chromatic Nonfactors of 1719926784   Appendix 7. Continuously Overlapping and Contiguous Chains of Doubles, Including Coincident Diatonic Octaves within Each, Bounded Entirely by Model Scale Numbers and Their Multiples   Appendix 8. Chromatic Scale Tables   Appendix 9. Specification of Trihemitones and Chromatic Scales in Which They Manifest   Appendix 10. Enharmonic Scale Tables   Glossary Selected Bibliography Index","brand":"Brill","offers":[{"title":"Default Title","offer_id":53210767655255,"sku":"9789004389915","price":226.4,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/plato-s-timaeus-and-the-missing-fourth-guest-finding-the-harmony-of-the-spheres-9789004389915","provider":"Book Curl","version":"1.0","type":"link"}