# Playing Music in Just Intonation - A Dynamically Adapting Tuning Scheme

## TL;DR

This paper presents a real-time, adaptive tuning system for microtonal music that dynamically adjusts to musical context, enabling just intonation in any key without explicit chord analysis.

## Contribution

It introduces a novel, continuous solving approach for microtonal tuning that automatically balances pure intervals and tempering, implemented in open-source software.

## Key findings

- Successfully adapts tuning in real-time for complex chords
- Automatically balances pure intervals with tempered compromises
- Demonstrates feasibility through open-source implementation

## Abstract

We investigate a dynamically adapting tuning scheme for microtonal tuning of musical instruments, allowing the performer to play music in just intonation in any key. Unlike other methods, which are based on a procedural analysis of the chordal structure, the tuning scheme continually solves a system of linear equations without making explicit decisions. In complex situations, where not all intervals of a chord can be tuned according to just frequency ratios, the method automatically yields a tempered compromise. We outline the implementation of the algorithm in an open-source software project that we have provided in order to demonstrate the feasibility of the tuning method.