⚡ Performance Metrics
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Memory:
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FPS:
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Audio Latency:
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Computational Composition Tools
Where Schoenbergian set theory meets mathematical visualization — an integrated approach to serial modulation and harmonic structure.
Linear Displacement Theorem Visualization
C (0)
Theory: f(x) = (x - p) / √(x - p) represents musical structure through contrast and memory,
where p is a pitch class (0=C, 11=B) creating harmonic discontinuity. The function grid contains
mathematical operations on pitch vectors and matrices — transforming discrete pitch sets into continuous musical parameters.
π Integration: Each matrix cell generates predictions for the next digit of π based on function behavior and temporal coupling.
Pitch Visualization: Both horizontal ruler and individual cell pitch markers show current pitch sets and relationships.
π Integration: Each matrix cell generates predictions for the next digit of π based on function behavior and temporal coupling.
Pitch Visualization: Both horizontal ruler and individual cell pitch markers show current pitch sets and relationships.
🌀 Advanced Fractal Pitch System
Reactive agents with strange attractors — where set entropy and harmonic tension govern fractal evolution of pitch through chaos theory and gravitational wells.
🔴 Fractal System Inactive
C (0)
↕️ Bidirectionally synced with main P-Center and Live Mathematical View
🧮 Step 1 - Reactive Agents: Set entropy reflects pitch unpredictability, harmonic tension measures intervallic strain. High entropy triggers chaotic behavior, low entropy creates stable motifs.
🌊 Step 2 - Fractal Mapping: Logistic map f(x) = r × x × (1 - x) where r is dynamically influenced by entropy and tension. Lyapunov exponent detects chaos and triggers branching.
🧠 Step 3 - Strange Attractors: Gravitational wells at consonant intervals create pitch evolution toward harmonic centers through interval collapse and prime form recursion.
🌊 Step 2 - Fractal Mapping: Logistic map f(x) = r × x × (1 - x) where r is dynamically influenced by entropy and tension. Lyapunov exponent detects chaos and triggers branching.
🧠 Step 3 - Strange Attractors: Gravitational wells at consonant intervals create pitch evolution toward harmonic centers through interval collapse and prime form recursion.
🎼 Enhanced Fractal Fugue Composer
Generate sophisticated fugue compositions with advanced rhythmic variation, stretto techniques, and fractal evolution — now with complete MIDI integration and enhanced audio capabilities.
🎵 Basic Parameters
🎭 Advanced Settings
🌀 Fractal Audio System Integration
Enhanced audio playback with haunting effects and fractal modulation
Ready to generate fugue...
📊 Advanced Analysis & Visualization Tools
📄 Report Generation
💾 Data Export
🎨 Visualization Controls
🔧 System Tools
π predictions: Generate transformations to see predictions...
🔬 Real-time System Analysis
Fugue Voices:
0
Active Notes:
0
Current Beat:
0.0
Audio Status:
Inactive
⌨️ Keyboard Shortcuts
🎼 Fugue Controls
Ctrl
G
Generate Fugue
Space
Play/Pause
Ctrl
S
Export MIDI
Ctrl
O
Load File
🌀 Fractal System
F
Toggle Fractal System
V
Show Visualization
E
Extreme Mode
Alt
Esc
Stop All Audio
Press ? to toggle this panel
Music Set Modulator (Schoenbergian Set Theory)
φ (Golden Ratio) Relation: Generate a set to see φ relationships...
Schoenbergian Set Theory: This tool applies interval vector analysis and serial transformations,
creating modulated versions of your input set through systematic intervallic reduction and chromatic completion.
φ Integration: Each pitch set's relationship to the golden ratio (φ ≈ 1.618...) is calculated through interval proportions and harmonic analysis.
φ Integration: Each pitch set's relationship to the golden ratio (φ ≈ 1.618...) is calculated through interval proportions and harmonic analysis.
Comprehensive Musical Analysis Report
This section displays the complete analytical breakdown of mathematical parameters, set theoretical transformations, π digit predictions, and φ relationships: