New Harmony
Recently I made a discovery. For a while I’ve been working on new ways of looking at harmony, especially with respect to analysing one’s own harmonic usage. Obviously listening is usually the first step, but I was dissatisfied with the way that we can describe different levels of dissonance or consonance in harmony. For me dissonance is a sliding colour scale, currently purely subjective and unquantifiable. Since this is subjective and can never be anything more than that, developing an objective method for defining dissonance could only ever be useful on a personal scale. Current descriptions of dissonance range from ‘dissonant’ or ‘consonant’ to specific author’s styles ‘Messiaenic harmony’ (although this could mean many things) and to the many adjectives normally associated with lay-appraisal of atonal or serial music (‘brash’ etc., usually pejorative).
I think it is necessary to look beyond this, and to think about intervals, major and minor harmony, scales, dodecaphonicism, in a new light. One where the relationships remain constant for harmony across all styles. It’s useless to describe Boulez’ music in terms of major and minor, as with Ockeghem but for completely different reasons.
So, he comes to the harmonic series. This is the one constant in music, present in all pitched instruments (in fact the basis of how we recognise pitch), and very possibly the key to how our ear is able to distinguish two separate pitches in a chord, even when they are almost in unison. For my Masters I did some research into dissonance, and made some inroads into how pitches interact, and for example why an octave is considered consonant by most people and why a minor second is dissonant. Basically, although inconclusive, octaves share most harmonics with each other, apart from one per octave. Minor seconds, on the other hand, share very few, at least until many octaves higher in the harmonic series, when the harmonics become less than a semitone. I set about the work of providing a theory of this, which is still in progress.
More recently I came across (whilst reading Michel Chion’s translation/transmogrification of Schaeffer’s Traité) Edmond Costère’s Lois et Styles des Harmonies Musicales. Costère’s book describes his reexamination of harmony from the perspective of basic rules of acoustics, primarily the harmonic series, and provides charts of analysis of scales from this perspective, an analysis of major harmony, it is disarmingly simple, and was just as easily dismissed at the time of publication. But it is quite obviously before its time, before Spectralism appeared and when people were still grappling with the Highest Art preoccupations of whether harmony needed reinventing or not. Costère is not suggesting we restyle everything, but in fact to reexamine the way we look at harmony, that there is a bigger picture and a simpler but more comprehensive method of analysis of functional and non-functional harmony, that spans the gaping abyss between tonal harmony and serial music, between spectralism and new complexity.
What is less convincing for me is his explanation of the roots of diatonic minor harmony, which consists in inverting the harmonic series in order to find the minor third. Instead for me at this early stage I see minor harmony as a séquelle from the modes; diatonic minor is quite easily accounted for as the aeolian or dorian medieval modes, shoehorned into functional harmony (sharpening of the 6th/7th degrees). Although, this doesn’t fit it in quite so neatly into Costère’s hypotheses.
Currently, this is an unfinished story. I have not finished Costère’s tome, nor the other equally outrageously titled Mort ou Transfigurations de l’Harmonie, which I have on loan from the British Library. I intend to assimilate, modify and bring his methodologies for analysis and appraisal of harmony into the 21st Century. It will become a tool for analysis applicable to most systems of harmony (diatonic, dodecaphonic, quarter-tone), and possibly may influence the way I compose, harmonically speaking. This has, of course, nothing to do with rhythm, timbre, structure or form, thus leaving one free to compose the same music but aware of another perspective on the harmony that they are using. Suffice to say that for me this is a breakthrough, rather late in the day, but it has answered some questions that I have long posed (those of a quantitative scale of dissonance and alternative hierarchy of tones) and equally triggered others (was Costère just a blithering fool with a prejudice against established rules of harmony?).


