Douglas Repetto

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This paper presents a software application for computing optimal tuning systems in real-time, complete with a graphical user interface and MIDI player. The optimal tuning systems are created from a framework, proposed by us, that formalizes historical and cross-cultural criteria. The parameters of the system are a fixed number of pitches, a repeat factor,(More)
N THIS PAPER WE PROPOSE a mathematical framework for the optimization of tuning systems. We begin with an informal definition of " tuning system. " We then propose five general constraints that seem common to their evolution. The central idea of this paper is the quan-tification of those constraints in terms of a set of numerical parameters. Given a choice(More)
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