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We present an algebraic construction of music notes and show how to associatethem inseveral ways to construct music ranges. Then a family of ranges emergewith a fixed number of notes: two, three, five, seven, twelve, seventeen, etc.A classification of these scales is simple with the concept of multiplicativestructure. The action of such a multiplicative structure on a music noteintroduces the definition of tonality. Multiplicative structure classificationis then straightforward with the notions of type and mode. We detail the caseof music scales with five and seven notes and propose musical examples for awide range of modes.

Pourquoi la gamme a sept notes? Une math{\'e}matique des notes et des gammes