Development of Simplified Tuning System for Physical Modelling of the Gayageum

ABSTRACT This paper describes a simplified tuning system for the physical modelling of the Gayageum, a Korean traditional plucked string instrument. In a previous work, an Anjok model was proposed as part of the string model to control pitch. However, this model has a maximum error of 7.75 Hz for the low fundamental frequencies. In order to ameliorate this situation, this paper modifies the assumption of the previous model and proposes a method to design a simplified tuning system. The optimal parameter of the system is determined based on the minimax algorithm and the error is 1.14 Hz on average. Furthermore, the maximum error decreases to about one third that of the previous method.

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