intra-octaval

To resolve it the solution found and accepted has been to reduce all the intra-octaval ‘consonances’, fifths, fourths, major and minor thirds, etc., to what fits within the limits of an equally divided octave, which, of course, distorts the purity of the intra-octaval consonances. This solution has been called ‘twelve-tone equal temperament’. Without it, modern classical music, which requires modulation over a plurality of octaves, would not be possible. With it, the duration of modern classical music was limited by the persistent ability to hear pure (pythagorean) intra-octaval consonances.

2005: Kenley Dove, “Aristotelian vs. Socratic Mimesis in Hegelian Perspective”; Dieter Wandschneider [ed.], Das Geistige und das Sinnliche in der Kunst: Ästhetische Reflexion in der Perspektive des Deutschen Idealismus [The Spiritual and the Sensual in Art: Æsthetic Reflexion in the Perspective of German Idealism], page 40 (Königshausen & Neumann; →ISBN)