When science meets musical tuning
Musical tuning might seem like a solved problem. However, modern instruments are deliberately tuned slightly out of tune to play in all keys — a compromise made centuries ago. But is it still necessary? The eBook "Set Theoretic Solution for the Tuning Problem" explores how mathematics of sets can be used to define consonance and create dynamic tuning systems that don’t trade harmony for flexibility.
A sneak peek at select pages from the eBook
Why do some notes sound harmonious while others clash? Many theories attempt to explain consonance and dissonance, but each has its limitations. In this eBook, I explore the boundaries of today’s most compelling theories and introduce a new approach rooted in set theory. This mathematical framework gives rise to naturally dynamic tuning systems — suitable for both harmonic and inharmonic timbres, from pure sine waves to complex sounds. Most importantly, it provides a method for quantifying consonance in intervals and chords, opening the door to a wide range of practical applications for musicians, composers, and developers alike.
About the Author
My name is Seva Deriushkin. I'm a software developer based in Sweden, the creator of the New Tonality YouTube channel, and a former researcher in the physics of semimetals. I also play piano and electric guitar, and compose instrumental music.
My journey into tuning theory began while recording a song, when I found myself asking simple but profound questions: Why do we have 12 notes? What makes a major chord sound 'happy' and a minor chord 'sad'? That curiosity led me down a deep rabbit hole into the science and history of musical tuning.
With a background in scientific research, I approached these questions from an empirical perspective — seeking explanation in the biology and structure of our hearing system. Over time, I developed a theoretical framework that I now aim to put into practice. As a software engineer, I’m excited to build tools that can help musicians explore tuning in new, more expressive ways.