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Plato's Timaeus and the missing fourth guest : finding the harmony of the spheres /
In Plato's Timaeus and the Missing Fourth Guest, Donna M. Altimari Adler proposes a new Timaeus scale structure. She finds the harmonic cosmos in Plato's text, mathematically, regarding it as a number generator. Plato's primary number sequence, she argues, yields a matrix defining a s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Leiden ; Boston :
Brill,
[2020]
|
| Colección: | Studies in Platonism, Neoplatonism, and the Platonic tradition ;
v. 21. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Altimari-Adler, Donna M., |e author. | |
| 245 | 1 | 0 | |a Plato's Timaeus and the missing fourth guest : |b finding the harmony of the spheres / |c by Donna M. Altimari Adler. |
| 264 | 1 | |a Leiden ; |a Boston : |b Brill, |c [2020] | |
| 300 | |a 1 online resource (xxix, 624 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b n |2 rdamedia | ||
| 338 | |a online resource |b nc |2 rdacarrier | ||
| 490 | 1 | |a Studies in Platonism, Neoplatonism, and the Platonic tradition ; |v volume 21 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on February 07, 2020). | |
| 505 | 0 | |a Intro -- Contents -- Preface -- Acknowledgments -- List of Figures and Tables -- Introduction: Plato's Missing Fourth Guest -- Chapter 1. The Timaeus, the Decad, and the Harmonia: an Overview -- Chapter 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 -- Chapter 3. Solving the 36 B Conundrum: Deriving the Set of Sesquitertian Parts to Be Filled by Sesquioctave Intervals | |
| 505 | 8 | |a 1. Derivation of the Sesquitertian Parts -- Chapter 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 -- Chapter 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 | |
| 505 | 8 | |a 6. First Octave of the Model Diatonic Octave Chain Containing Chromatic Elements -- 7. First Instances of Standard GPS, LPS, Diatonic UPS, and UPS in All Genera -- 7.1. Standard GPS -- 7.2. Standard LPS -- 7.3. Standard Diatonic UPS -- 7.4. Unacceptable Modulation -- 7.5. Standard Combined UPS in All Three Octave Genera -- 8. First Instances of Properly Timaean GPS, LPS, Diatonic UPS, and UPS in All Genera -- 8.1. The Timaeus GPS -- 8.2. The Timaeus LPS -- 8.3. Diatonic Timaeus UPS -- 8.4. Timaeus Combined UPS in All Genera | |
| 505 | 8 | |a 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 -- 13.1. Emergence of the Entire Unmodulating System in All Three Genera -- 13.2. Other Diatonic Possibilities Coincident with the Primary Timaeus Scale -- 14. The Orderliness of the Chromatic Invasion within the Primary Scale | |
| 505 | 8 | |a 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 -- Chapter 6. The Further Musical Significance of Plato's Number Matrix: the Many Secondary Timaeus Scales and Associated Musical Phenomena -- 1. The Many Secondary Diatonic Timaeus Scales Hidden in the Fabric -- 2. The Many Chromatic Timaeus Scales Hidden in the Fabric | |
| 520 | |a In Plato's Timaeus and the Missing Fourth Guest, Donna M. Altimari Adler proposes a new Timaeus scale structure. She finds the harmonic cosmos in Plato's text, mathematically, regarding it 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 text, 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 interpretation, e.g., properly naming the sets of three and four bands, born of splitting the band of difference, and explaining their differing motions and speeds. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 600 | 0 | 0 | |a Plato. |t Timaeus. |
| 630 | 0 | 7 | |a Timaeus (Plato) |2 fast |0 (OCoLC)fst01356746 |
| 650 | 0 | |a Musical intervals and scales |z Greece |x History |y To 500. | |
| 650 | 0 | |a Harmony of the spheres. | |
| 650 | 6 | |a Harmonie cosmique. | |
| 650 | 7 | |a Harmony of the spheres. |2 fast |0 (OCoLC)fst00951547 | |
| 650 | 7 | |a Musical intervals and scales. |2 fast |0 (OCoLC)fst01030765 | |
| 651 | 7 | |a Greece. |2 fast |0 (OCoLC)fst01208380 | |
| 648 | 7 | |a To 500 |2 fast | |
| 655 | 7 | |a History. |2 fast |0 (OCoLC)fst01411628 | |
| 758 | |i has work: |a Plato's Timaeus and the missing fourth guest (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG7ykywpC97dvFVtWmxrHK |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Altimari-Adler, Donna M. |t Plato's Timaeus and the missing fourth guest. |d Leiden ; Boston : Brill, [2019] |z 9789004389915 |w (DLC) 2018061272 |
| 830 | 0 | |a Studies in Platonism, Neoplatonism, and the Platonic tradition ; |v v. 21. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5993016 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5993016 | ||
| 938 | |a YBP Library Services |b YANK |n 16152150 | ||
| 994 | |a 92 |b IZTAP | ||