| Don Quixote: The 3-6-9 Singularity: Root VIII — Numerical Entanglement of the 117-Cycle and the 27-fold Symmetry
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901492722565120 |
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| author | Franesi, Pietro |
| author_facet | Franesi, Pietro |
| contents | <p class="MsoNormal"><span>This paper presents a deterministic computational framework that bridges number theory, generative music, and non-dual Sanskrit ontology through the systematic analysis of Chapter VIII of *Don Quixote*. By applying digital root reduction to classical integer sequences (Fibonacci, Lucas, Pell), we identify a universal 24-step cycle whose element-wise sum converges to 117 (1+1+7=9), establishing a "Cycle of 9" as the operational axis of the system.<br><br>The transmutation pipeline maps each character position to an acoustic and chromatic event via a Python-based generative engine, producing a 27-state output sequence reproducible with any 22-EDO tuning system. The architecture is governed by a 27-fold symmetry (2+7=9), unifying the 27-letter Spanish alphabet, 27 musical states (22 EDO microtonal steps + 5 narrative tones), and 27 archetypal characters into a single informational field.<br><br>The Prakriti root set {1, 2, 4, 8, 7, 5} is identified as the digital root reduction of successive powers of 2 — a cyclic sequence first systematised by Pingala in the *Chandaḥśāstra* (c. 200 BCE) and independently encoded in Pascal's Triangle — grounding the generative model in a mathematical tradition spanning over two millennia.<br><br>Within this model, *Avyakta* (unmanifest potential) and *Prakriti* (manifest form) — concepts derived from Sāṃkhya philosophy — define two functional classes of character positions that partition the nine digital roots completely, providing a mathematically grounded ontological binary for generative literary transmutation.<br></span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19922448 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | | Don Quixote: The 3-6-9 Singularity: Root VIII — Numerical Entanglement of the 117-Cycle and the 27-fold Symmetry Franesi, Pietro - Digital Root Reduction - Cycle of 9 - Avyakta-Prakriti - 117-Cycle Equilibrium - 27-fold Symmetry - 22 EDO - Computational Ontology - Don Quixote - Generative Art - Sonification - Sāṃkhya Philosophy - Pingala Sequence - Pascal's Triangle <p class="MsoNormal"><span>This paper presents a deterministic computational framework that bridges number theory, generative music, and non-dual Sanskrit ontology through the systematic analysis of Chapter VIII of *Don Quixote*. By applying digital root reduction to classical integer sequences (Fibonacci, Lucas, Pell), we identify a universal 24-step cycle whose element-wise sum converges to 117 (1+1+7=9), establishing a "Cycle of 9" as the operational axis of the system.<br><br>The transmutation pipeline maps each character position to an acoustic and chromatic event via a Python-based generative engine, producing a 27-state output sequence reproducible with any 22-EDO tuning system. The architecture is governed by a 27-fold symmetry (2+7=9), unifying the 27-letter Spanish alphabet, 27 musical states (22 EDO microtonal steps + 5 narrative tones), and 27 archetypal characters into a single informational field.<br><br>The Prakriti root set {1, 2, 4, 8, 7, 5} is identified as the digital root reduction of successive powers of 2 — a cyclic sequence first systematised by Pingala in the *Chandaḥśāstra* (c. 200 BCE) and independently encoded in Pascal's Triangle — grounding the generative model in a mathematical tradition spanning over two millennia.<br><br>Within this model, *Avyakta* (unmanifest potential) and *Prakriti* (manifest form) — concepts derived from Sāṃkhya philosophy — define two functional classes of character positions that partition the nine digital roots completely, providing a mathematically grounded ontological binary for generative literary transmutation.<br></span></p> |
| title | | Don Quixote: The 3-6-9 Singularity: Root VIII — Numerical Entanglement of the 117-Cycle and the 27-fold Symmetry |
| topic | - Digital Root Reduction - Cycle of 9 - Avyakta-Prakriti - 117-Cycle Equilibrium - 27-fold Symmetry - 22 EDO - Computational Ontology - Don Quixote - Generative Art - Sonification - Sāṃkhya Philosophy - Pingala Sequence - Pascal's Triangle |
| url | https://doi.org/10.5281/zenodo.19922448 |