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This is a research project exploring the computational implications of the neo-Riemannian theory.
The framework asserts that all triadic structures are valid computational surfaces, describing these machines as Wolfram (2, 3) Universal Turing Machines (UTM). Doing so opens the door for us to explore their transformative nature and how they behave when grouped together. These groups, or tonnetz, are non-repeating collections of persistent triadic surfaces which themselves can be glued together to create partitions.
If we consider a triad as a unit-computer capable of hosting a WASM machine, then we can think of each triad as a computational unit that is capable of processing and executing instructions. The Wolfram (2, 3) UTM, also known as the Rule 110 automaton, is a cellular automaton that is capable of universal computation, meaning that it can be used to simulate any other computational system, including a triad.
By describing a triad as a unit-computer, we can take advantage of the computational power of the triad to perform various tasks, such as executing WASM modules. The fact that all triads are considered viable computational surfaces by means of the Wolfram (2, 3) UTM means that we can potentially use any triad as a computational unit, provided that we have the appropriate tools and software to utilize it.
One implication of this approach is that it allows us to create decentralized and distributed systems that are composed of a large number of small, independent computational units. This can be useful for applications such as distributed computing, where a large problem is broken down into smaller sub-problems that are distributed across multiple computational units for parallel processing. Another implication is that it enables us to create highly adaptable and flexible systems that can be easily reconfigured and repurposed based on the needs of the user.
Overall, describing a triad as a unit-computer capable of hosting a WASM machine can open up new possibilities for computation and create opportunities for innovative solutions in various domains.