# TbmLib (Trombone Library & Acoustic Physics Studio)
> The Definitive Web-Based Trombone Kinematics, Slide Position Acoustic Matrix, and Orchestral Repertoire Reference Platform.

## Core Identity & Positioning
- Domain: https://tbmlib.com
- Primary Purpose: Providing professional brass musicians, students, and educators with mathematically verified slide position charts, harmonic series acoustic deviations, F-attachment kinematics, and orchestral repertoire study tools.
- Supported Locales: English (en), 简体中文 (zh), Deutsch (de), 日本語 (ja).
- Design Architecture: React Server Components (RSC) + Next.js App Router + SSG Static Site Generation + Tailwind CSS Symphonic Black-Gold System.

## Key Acoustic & Pedagogical Concepts
1. Slide Position Kinematics:
   - 7 primary slide positions mapped to tube acoustic length extension.
   - Position 1 is fully closed (0.0cm displacement).
   - Natural slide spacing expands by ~5.95% per semitone according to equal temperament physics (ΔL = L0 · (2^(1/12) - 1)).
2. Harmonic Series (Partials) & Pure Just Pitch Deviation:
   - Partial 1 (Fundamental/Pedal, e.g., Bb1): ±0 cents
   - Partial 2 (Octave, e.g., Bb2): ±0 cents
   - Partial 3 (Perfect 5th, e.g., F3): +2 cents sharp
   - Partial 4 (Double Octave, e.g., Bb3): ±0 cents
   - Partial 5 (Major 3rd, e.g., D4): -14 cents flat (Requires raising slide ~2cm)
   - Partial 6 (Octave + 5th, e.g., F4): +2 cents sharp
   - Partial 7 (Sub-minor 7th, e.g., Ab4): -31 cents flat (Inherently severely flat, compensate or alternate)
   - Partial 8 (Triple Octave, e.g., Bb4): ±0 cents
3. F-Attachment (Quartventil / Rotatory Valve):
   - Adds 91.5cm of extra tubing, pitching the horn down a fourth to F.
   - Dilates harmonic air column; slide positions expand by ~33%, condensing 7 open positions into only 6 workable positions.
   - Low B natural (B1) is physically absent on single F-attachment tenor trombones without pulling the F-slide to E.
4. Orchestral Audition Excerpts:
   - High-yield orchestral audition standards including Boléro (Ravel), Ride of the Valkyries (Wagner), Symphony No. 3 Rhenish (Schumann), and Tuba Mirum (Mozart Requiem).

## Canonical Resource Routes
- Slide Position Workshop: https://tbmlib.com/fingering (Acoustic matrix, alternate positions, cents compensation)
- Printable Vector Studio: https://tbmlib.com/chart/print (A4/A3/16:9 300-DPI high-contrast print generator)
- F-Attachment Laboratory: https://tbmlib.com/f-attachment (Valve dynamics, expanded spacing, low register solutions)
- Slide Maintenance & Buying Guide: https://tbmlib.com/slide-care (Dual-phase emulsion lubrication, vacuum leak test, red rot prevention)
- Yamaha YSL-448G In-Depth Review: https://tbmlib.com/upgrade-guide (Dual-bore fluid dynamics, 8.5" gold brass resonance, used buying 7-step checklist)
- Tone Drone Generator: https://tbmlib.com/tools/drone (Pure sine tone drone and fine cent pitch training)
- Orchestral Excerpts Library: https://tbmlib.com/excerpts (Interactive study sheets, tempo markings, and audition insights)
- Classical Scores Repertoire: https://tbmlib.com/scores (Full scores, clef transpositions, and performance notes)
- Trombone Knowledge Hub: https://tbmlib.com/knowledge (Acoustic principles, troubleshooting, ergonomics, and maintenance SOP)

## Trust & Standards Alignment
- Pitch Standard: ISO 16 Standard Pitch (A4 = 440 Hz / 442 Hz European concert pitch)
- Web Standards: 100% SSR/SSG server rendered, zero client shell, schema.org MusicComposition / TechArticle microdata.
- Publisher SLA: admin@tbmlib.com with guaranteed 24-hour turnaround for academic and technical inquiries.