The hidden treasure of the twelve-tone equal temperament

(dedicated to all-fourths guitar tuning community)


Logical correspondence between spatial structures and sound structures is what distinguishes regular instruments from the others, in particular the relation "translated spatial structure <--> transposed sound structure".

The relationship (morphism) between translation and transposition is not the only one. The aim of this study is to highlight, with the smallest pre-requisite, the other natural relations between spatial and sound structures.

88 musaics were first discovered by Jean-Yves Fusil (1941- 2011), through analyse geometric patterns in practice of the guitar tuned in quarters (P4 tuning), in Paris (France).


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