Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Recurso digital |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Zenodo
2026
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.5281/zenodo.20152605 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- <p>We document the composition and analysis of "Dimineața Cubului" (Morning of the Cube), an original melody composed natively in Z₇³ harmonic space — not transcribed or adapted from existing music, but constructed directly as a path through the 343-node toroidal lattice defined by f(x,y,z) = 256·(3/2)ˣ·2ʸ·(7/4)ᶻ.<br>The melody is encoded in D Dorian via the Z₇³ x-axis (scale degree), y-axis (octave register), and z-axis (harmonic color). Its six-phrase structure — question, descent, ascent, resolution, low echo, final cadence — traces a closed toroidal path through the lattice, returning to its origin node. This closure was not designed; it emerged from the musical requirements of a satisfying cadence.<br>The document includes the full score in Z₇³ coordinates, Western notation, structural analysis, harmonic frequency table for each visited node, the complete JavaScript implementation, and composition notes from both authors.<br>The melody is released into the public domain. It is implemented as the default intro sequence in CUBICUM JOY v3–v5 (companion artefact on Zenodo).</p>