Fantasia Catalana, for Chamber Ensemble [50edo]

A Fantasy for chamber ensemble in C subminor in 50-equal division of the octave (close to Zarlino meantone), made up by four movements: a short introitus, in the style of the Catalan 'Sardana'; a one-minute chaconne; a 3-in-1 canon over a ground bass and a six-part fugue. The latter incorporates fragments of a classical Catalan sardana ('La Santa Espina'). Septimal minor thirds and harmonic sevenths mostly characterise the tonality of this neobaroque piece. Also, the divisibility of 50 by 5 is exploited in the very structure of the canon: each part repeats, after four measures, the preceeding one two diatonic semitones higher (i.e. the fifth part of an octave in 50-edo); thus, the tonality of the canon raises of such an amount every four measures, coming back to subminor C every twenty ones. The same algebraic feature is used in an analogous way in one of the episodes of the fugue too, whereas the other expositions mainly use classical contrapuntal techniques. It is also used in the introductory chaconne.

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