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Objective
Contained is a research project focused on establishing a solid foundation for building a novel harmonic orchestration mechanism. The project was motivated out of a need to find an optimal means of managing workloads across various surfaces.
While quantum applications are not the primary goal of the project, the resulting topological structure employed throughout may demonstrate properties ideal for quantum systems.
At an initial glance, there seems to be little commonalities between computational and musical systems. Therefore, it is critical to correctly define the employed objects and describe there potential implications in digital environments.
The Neo-Riemannian theory focuses on developing the relationships between triads and describes their complete operational space to be a tonnetz.
A triad is a specific type of chord composed of three notes where each of the notes maintains a certain relationship with another. Furthermore, A triad is a fundamental musical object describing a particular type of chord composed of three notes, each of which share predefined relationships with one another.
The Neo-Riemannian theory focuses its attention on three primary transformations: leading (l), parallel (p), and relative (r). These transformations are naturally invertible and may be chained together to generate unique musical landscapes. Invertible transformations allow any triad to return to its original configuration by applying the same transformation twice.
Each triad is a fundamental block which represents the smallest possible computational space. Triadic objects are traditionally defined to be any three musical notes that maintain certain relationships with each other.
Each traid is considered to be a complete, micro-environment that can be used to execute various workloads. Each