Real-time pitch interpolation engine for smooth frequency transitions. More...

Classes
class	PortamentoPlayer
	High-precision frequency interpolation engine for musical portamento. More...

Detailed Description

Real-time pitch interpolation engine for smooth frequency transitions.

This module implements sophisticated pitch interpolation algorithms for creating smooth frequency transitions between musical notes. The system provides sample-accurate pitch sliding with configurable timing, supporting both linear and exponential interpolation methods appropriate for different musical contexts.

@mathematical_foundation The implementation uses linear frequency interpolation in Hertz domain rather than logarithmic (semitone) domain for computational efficiency. While logarithmic interpolation would be more perceptually accurate, linear interpolation provides acceptable results for typical portamento times (50-500ms) while maintaining real-time performance.

@frequency_conversion_theory MIDI note to frequency conversion follows the equal temperament formula:

f(n) = 440 × 2^((n-69)/12)

Where:

f(n) = frequency in Hz
n = MIDI note number
440 Hz = A4 reference frequency (MIDI note 69)
12 = semitones per octave in equal temperament

@interpolation_analysis Linear interpolation formula: f(t) = f₀ + (f₁ - f₀) × (t/T)

Where:

f₀ = starting frequency
f₁ = target frequency
t = elapsed time
T = total portamento duration

@performance_characteristics

Sample rate independence: Adapts to any audio sample rate
Computational complexity: O(1) per sample processing
Memory footprint: ~32 bytes object size
Numerical stability: IEEE 754 compliant arithmetic

Author: Timothy Paul Read

Date: 2025/03/10 @organization AABSTRKT at play via gaialive.com

Version: 1.0

Classes

Detailed Description