New Tonality

Musical tuning is more than simple ratios and tempering. Dive into the psychoacoustical and mathematical world of microtonality.

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Set theoretic solution
for the tuning problem

There are many theories that attempt to explain consonance and dissonance in music. In this book, I explore the boundaries of today’s most compelling theories and introduce a new approach rooted in mathematical set theory.

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Microtonal web apps

A collection of browser-based tools that explore microtonality through the lens of modern psycho acoustic research. Investigate the relationship between instrumental timbre, spectral characteristics, and tuning systems.

  • Sensory dissonance analysis

    Take part in an interactive psychoacoustic experiment to measure your personal perception of dissonance and compare your results with others.

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  • Beating analysis

    Visualize how two pure tones interfere and produce beating patterns by adjusting interval, amplitude, phase, and reference frequency.

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  • Legacy Additive Synth V1

    Generate inharmonic samples and see its dissonance curve that marks related tuning. Geberate sounds that are compatible with arbitrary EDO tuning systems.

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  • Legacy Additive Synth V2

    A different version of additive synth with ability to stack multiple inharmonic layers. Instead of dissonance curve is has aplayable board tuned to the related tuning system.

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Book

Set-theoretic solution
for the tuning problem

My goal is to make microtonality easy and accessible and to popularize that topic. During my research I found that various tuning systems have pros and cons. In the attempt to simplify the theory of William Sethares I stumbled upon the idea of using set theory to derive tuning. After 2 years of research I wrote this book to lay out how set theory can be used to derive tuning and how it compares to other tuning systems.