It’s a relief finally to be able to post the next article in my series about the relationship between musical structures and the harmonic series. It’s a relief because my crowded schedule, which included writing a new (now finished) piece for solo piano, meant that I could only work on it sporadically. However, it’s done now!
Whereas the first article dealt with timbre, this one focuses on melody on harmony (well, mostly harmony actually) and, after tracing the development of harmony in relation to the proportions inherent in the harmonic series, illustrates the premise that music based on functional harmony (tonal music) and atonal music are very similar in at least one very important regard.
The two are often thought of as very different and even in opposition to one another, but in fact one grew out of the other and both are founded on proportions to be found at points – distant points perhaps – but nonetheless, points on the continuum which is the harmonic series.
It’s all becoming reminiscent of Heraclitus and the ‘unity of opposites’ once more I think! Read more here.