5-limit tuning and intervals

Semantic System

The Semantic System is based on a microtonal musical scale tuned in just intonation, developed by Alain Daniélou. For Alain Daniélou the subtleties of the intervals of music of oral traditions cannot be expressed using the equal temperament tuning system of 12 notes per octave, which has been the prevalent system in Western culture for around two centuries. This "artificial" musical scale was developed as a compromise, to standardise musical instruments by reducing the number of notes they could play, but it also reduced the possibilities of expression for both composers and musicians. « Alain Daniélou draws attention to the fact that a musical culture that adopts a system of equal temperament thereby sacrifices the possibility of expressing all but the most general significations inherent in a musical language. » After many years spent researching and leading experiments in the world of Indian modal music, Alain Daniélou published a book entitled in which he proposes one of the most elaborated microtonal scales of just intonation. According to him, the human ear is able to identify and classify pitches by using binary, ternary and quinary frequency ratios as a reference point. This theory gives rise to the unequal division of the octave into 53 notes, with frequency ratios composed solely of products of powers of prime numbers 2, 3 and 5. (Wikipedia).

Semantic System
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Code SEMANTIC Information Retrieval System w/ SBERT Sentence Transformers in PyTorch (SBERT 42)

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Related pages

7-limit tuning | Binary number | Five-limit tuning | Quarter tone | Perfect fifth | Equal temperament | Septimal kleisma | Semantic System | Cent (music) | Gottfried Wilhelm Leibniz | Kleisma | Perfect fourth | Ternary numeral system | Frequency | Natural number | Coprime integers | Syntonic comma | Prime number | Septimal comma | Ratio | Schisma