Chaotic Mapping Musical Variation System
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Solution Overview
Problem
Existing chaotic mapping techniques for generating musical variations are limited as they require all notes in the variation to be present in the input file, cannot introduce new pitches, and only apply to discrete-time signal representations, failing to generate variations for continuous-time signal representations like audio recordings or videos.
Innovation Solution
A method that parses an input into ordered elements, uses a chaotic mathematical function to identify 'hole' elements, and applies substitution or modification algorithms to create variant outputs, allowing introduction of new pitches and applying to both discrete and continuous-time signal representations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If chaotic mapping techniques are used to generate musical variations, then variations can be created from input files, but all notes in the variation must be present in the input file and cannot introduce new pitches
Solution Approach 1:
The patent transforms the input signal from discrete-time to continuous-time representation, enabling the system to operate in a different parameter space where new pitches can be generated. By converting discrete note sequences into continuous audio waveforms and applying chaotic mapping in the time domain, the system overcomes the limitation of being constrained to input pitch sets.
2Adaptability or versatility
If chaotic mapping is applied to discrete-time signal representations, then variations can be generated, but it cannot generate variations for continuous-time signal representations like audio recordings
Solution Approach 1:
The patent creates a universal variation generation system that can process both discrete-time and continuous-time signals through a unified approach. By implementing signal conversion capabilities and applying chaotic mapping principles that work across different signal representations, the system achieves multi-functionality and can handle diverse input types including audio recordings, MIDI files, and other signal formats.
3Adaptability or versatility
If traditional variation techniques are used, then the original structure is preserved, but the variation is limited and lacks richness
Solution Approach 1:
The patent replaces traditional rule-based variation techniques with chaotic mapping, a mathematical approach that uses deterministic chaos theory to generate variations. This substitution allows for richer, more unpredictable variations while maintaining structural integrity through the mathematical properties of chaotic systems, which preserve certain invariant characteristics of the original signal.
Data Source
AI summary
An altered but recognizable variant of an input musical composition is created by parsing the input into elements, selecting elements for replacement using a hole-selecting algorithm, and replacing the selected elements using a substitution algorithm. A plurality of tracks from the same composition, or from different compositions, can be separately varied and combined, or concatenated and varied together, or used as a seed source of a substitution algorithm, to create a remix or mash-up. Music variants can be combined with photographs, images, or videos, for distribution to recipients, or for a project presentation or story board. Greeting cards, MP3 players, mobile electronic devices, wearable electronic devices, toys, video games, websites, and ringtones can be configured to create and play a new variant of an input composition each time it is accessed. Websites can be used to host and track successive, “chain” variations of an input musical composition.