Fractal Pitch Terrain Effect — User Guide
Mathematical landscape generation: creates complex pitch contours using fractal algorithms for organic, terrain-like pitch variations.
What this does
This script implements fractal pitch terrain generation — an algorithmic approach to creating organic, landscape-like pitch contours using fractal mathematics. Generates complex pitch variations through multiple iterative layers, each contributing different frequency components to create rich, natural-sounding pitch topographies. Process builds fractal curves through wave mixing, chaos injection, and time evolution, then applies them to audio via pitch manipulation.
Key Features:
- 8 Terrain Presets — From gentle hills to chaotic mountains
- Multi-Layer Fractals — 4-10 iterative layers for complexity
- Waveform Mixing — Sine and square wave combinations
- Chaos Injection — Controlled randomness for natural variation
- Time Evolution — Dynamic terrain changes over duration
- Golden Ratio Scaling — Musically pleasing frequency relationships
What are fractal pitch terrains? Traditional pitch effects: vibrato, glides, automation. Fractal terrains: mathematically-generated pitch contours that mimic natural formations through self-similar patterns across multiple scales. Advantages: (1) Organic quality: Natural-sounding variations rather than mechanical patterns. (2) Complexity control: Precise control over detail level via iterations. (3) Musical relationships: Golden ratio and harmonic frequency progressions. (4) Evolution over time: Dynamic changes create narrative progression. (5) Infinite variety: Chaos factors ensure unique results. Use cases: Experimental vocals, sound design landscapes, algorithmic composition, film scoring, generative art.
Quick start
- Select Sound object in Praat (monophonic content works best)
- Run
fractal_pitch_terrain.praat - Choose preset for immediate terrain types
- Adjust iterations (4-10) for fractal detail level
- Set pitch_depth (4-35 semitones) for variation range
- Configure chaos_factor (0.05-0.8) for randomness
- Click OK — fractal terrain applied to "originalname_fractal_result"
Quick tip: Start with Complex Terrain preset for balanced results. Use Gentle Fractal for subtle variations, Chaotic Mountains for extreme effects. Higher iterations create more detailed terrains but increase processing time. Moderate chaos_factor (0.2-0.4) adds natural variation without losing musicality.
Fractal Theory
Multi-Layer Fractal Algorithm
🧩 Iterative Layer Construction
Core algorithm: Multiple layers with decaying amplitude and increasing frequency
FOR iteration from 1 to iterations:
current_amplitude = 1 * (amplitude_decay ^ iteration)
current_frequency = base_frequency * (frequency_multiplier ^ iteration)
sine_component = sin(wave_phase)
square_component = sign(sin(wave_phase))
combined_wave = sine_mix * sine + square_mix * square
chaos_component = chaos_factor * random_variation
layer_value = current_amplitude * (combined_wave + chaos_component)
pitch_sum = pitch_sum + layer_value
Result: Self-similar patterns across multiple frequency scales
Mathematical Components
| Parameter | Role | Effect |
|---|---|---|
| iterations | Fractal depth | More iterations = more detailed terrain |
| amplitude_decay | Layer attenuation | Higher = faster decay of high-frequency layers |
| frequency_multiplier | Scale progression | Golden ratio (2.618) for musical relationships |
| chaos_factor | Randomness | Adds natural variation and uniqueness |
| sine_mix / square_mix | Waveform character | Sine = smooth, Square = jagged terrain |
Terrain Presets
| Preset | Iterations | Pitch Depth | Chaos | Character |
|---|---|---|---|---|
| Gentle Fractal | 4 | 8 st | 0.1 | Smooth hills, subtle variations |
| Complex Terrain | 7 | 18 st | 0.25 | Balanced mountains and valleys |
| Chaotic Mountains | 8 | 25 st | 0.6 | Extreme peaks, dramatic drops |
| Micro Fractal | 5 | 4 st | 0.05 | Fine details, subtle texture |
| Rhythmic Layers | 6 | 12 st | 0.15 | Pulsing, beat-like patterns |
| Evolving Landscape | 7 | 20 st | 0.2 | Progressive terrain changes |
| Extreme Chaos | 10 | 35 st | 0.8 | Wild, unpredictable variations |
🎵 Musical Applications
Gentle Fractal: Vocal expression, subtle pitch variations
Complex Terrain: Sound design, experimental vocals
Rhythmic Layers: Electronic music, percussive effects
Evolving Landscape: Film scoring, narrative progression
Applications
Creative Sound Design
Vocal Processing: Apply Gentle Fractal to singing for organic pitch variations that mimic natural vocal expressivity without mechanical vibrato patterns.
Instrument Transformation: Use Complex Terrain on sustained instruments to create evolving pitch landscapes that shift and change over time.
Generative Composition: Combine Extreme Chaos with time-based parameter automation to create ever-changing pitch structures for algorithmic music.
Technical Considerations
Processing Time: Higher iteration counts (8+) with long audio files may require significant computation. Start with shorter segments for experimentation.
Monophonic Content: Works best with single-line melodies or solo instruments. Polyphonic material may produce unpredictable results.
Parameter Exploration: Enable keep_intermediate_objects to examine the generated pitch curves and understand how different parameters affect the fractal terrain.