EI temperamento igual. Una indagación histórica

Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 13 (3):571-584 (1998)
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Abstract

Nuestro sistema musical de referencia está basado en la division de la octava en doce partes, doce semitonos, iguales. Aunque adecuada tal configuración a la práctica musical, conlleva en el plano teórico una serie de problemas, como que, a excepción de la propia octava, no haya ni una sola consonancia natural o que la razon deI semitono sea 12√2. Tal temperamento igual no se impone definitivamente hasta mediados deI s. XVIII, pero ya a finales deI s. XVI se llega a su formulación y determinación exactas, bien que no de forma matemática. En este esfuerzo merece especial atenciónla figura deI teórico musical español Francisco Salinas.Our tonal system of reference is based· on division of the octave into twelve equal parts, twelve semitones. Although this configuration is suitable for practical musical purposes, it poses some problems for music theory. For example, apart from the octave itself, there is not one natural consonance. Also, the semitone ratio results to be 12√2. This equal temperament was not definitively imposed until the middle of the 18th Century, but by the end of the 16th Century its precise formulation and calculation, although not in its mathematical form, had been completed. The spanish humanist and music theorist Francisco Salinas was one of the key figures responsible for this task.

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