Assessing the Compatibility Between Musical Performance and Tuning System

This paper we propose a novel method, based on a fuzzy approach, for assessing the compatibility of a set of experimentally measured notes with any theoretical tuning system. Through the exposition of three illustrative experiments, we demonstrate the potential of this method, where we calculate the average tuning distance between the music performance and the theoretical values, revealing insights into the suitability of different tuning systems for specific musical contexts, as well as the nuanced adjustments made by the musicians in response to varying musical scenarios.