ITU Tier 1+ #34: Music + Arts (K_music)

Tier 1+ Pass-1.5 paper 34 of 45. ITU-derived music + arts on pitch + rhythm + timbre + harmony + form. Pythagoras + AI music + Suno/Udio + RIAA 2024.6.24. Defines K_music = -log ρ_music as the operator-algebraic modular Hamiltonian on H_pitch ⊗ H_rhythm ⊗ H_timbre ⊗ H_harmony ⊗ H_form. K_music inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Pythagorean / Just / 12-TET intervals: perfect 5th 3:2 vs 12-TET +1.955 cents, major 3rd 5:4 -13.686 cents, Pythagorean comma 23.460 cents; Krumhansl-Kessler C major H=2.42 nats; diffusion descent T=1000 reverse generation recovers ~86 nats K_music structure (Suno/Udio-style). Topics covered. Pythagoras 6c BCE 2:1/3:2/4:3/5:4, Bach 1722 Well-Tempered, Schoenberg 1908 atonality + 1923 12-tone, Krumhansl 1990 probe-tone, Zatorre 2007 dopamine, Mehr-Sapolsky 2019 Science universality, Suno v3 2024.3 + v4 2024.11 + Udio 2024.4, RIAA 2024.6.24 lawsuit, Spotify 626M users 2024.10, DALL-E 2021->3 + Midjourney v6 + SD 2022.8 + SDXL + Flux, Beeple $69.3M Christie's 2021.3.11, Taylor Swift Eras Tour $2.2B 2023-24, Refik Anadol MoMA 2022.11, Vesuvius Challenge 2024.2. 45-vertex polytope #34 top couplings: #2 AI (0.92), #28 Neuro (0.92), #33 Lang (0.85), #36 Edu (0.85), #37 History (0.85), #43 Sports (0.85). Ten falsifiable predictions: P_avg=0.62, S/M/W=1/6/3: arXiv 2026 (0.90 S), RIAA Suno/Udio settlement 2025 (0.70 M), Diffusion = ITU descent formalized 2027 (0.60 M), Vesuvius complete decoding 2027 (0.70 M). Pass-2 roadmap: ~$1.5M: Music analytics ($500K) + Lean Mathlib ($150K) + Suno/Udio/Stability partnership ($850K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.