C.HA.S. - Harmonic Concept: Overview

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 C.HA.S. - Harmonic Concept: Introduzione

The most recent temperament is the current system, or Equal Temperament, adopted from 1691 onwards: it favours the octave, that is to say, the two sounds (e.g. from C to the C above) which contain all the notes of the musical scale. The Equal Temperament formula multiplies frequencies around a constant, to obtain a “natural” octave; but it does not resolve the harmonic tensions between those pairs of sounds which are not octaves. In fact, it tempers the octave arithmetically in a ratio of 2:1, and relies on algebra to divide up and equal out the frequencies of the other sounds.


The new Circular Harmonic System - c.ha.s.®, with its equation, tempers and develops a coherent, precise, tensorial and synchronic Form, which is self-regulating and self-balancing, and where each sound has its own unique value; the System uses tensorial constants to proportion the octaves and all intervals.

Thus, where Equal Temperament restrains the octave in a double arithmetic relationship, the c.ha.s.® System expands the octave and draws the tensorial curves of every interval.

The effects.

  • In the field of music, the c.ha.s.® System resolves an age-old issue, and provides an unmatched degree of harmonicity: it reveals the dynamic Whole where sounds interplay in a synchronised harmonic relationship, and where each sound constitutes a tensorial centre, as memory and trace of the Form itself.
  • In other fields and disciplines the c.ha.s.® System constitutes an original, precise and congruous, proportional and tensorial model that may be of value for future research into phenomena related to sound-energy and into the dynamic, harmonious behaviour of matter in time.