Photo: the churchyard, St. Just-in-Roseland, Cornwall (see To Tolverne - a Riddle)
A Changing Role for the Composer in Society
A study in the historical background and current methodologies of creative music-making.
(Peter Lang AG, European Academic Publishers, Bern 2005)
All-Interval Fractal Sets – A new analysis
This paper replaces my previous paper "All-interval fractal sets - a technical description" first published in 2011 describing the process which led to my discovery of all-interval fractal sets. More recent research has shown that my original estimate of 204 viable sets was inaccurate. The total number of sets I have now been able to discover is 256, each conforming to one of eight modal scales. In this new paper I analyse their characteristics, revealing a number of remarkable new relationships and symmetries.
I attach a short appendix showing how the same principles of all-interval fractal sets can be applied to scales based on divisions of the octave by numbers other than 12.
All-Interval Fractal Sets and the Fibonacci Series
This paper presents an analysis of proportional relationships created by the multiplication of All-Interval Fractal Sets to the nth degree to produce fractal structures of infinite length. The resulting quasi-geometric series is compared with other geometric and quasi-geometric progressions such as the Corbusier Modulor and the Fibonacci Series.
Zooming into infinity - All-interval Fractal Sets and the Mandelbrot zoom.
This paper represents a new stage in my investigation of the properties of All-Interval Fractal Sets. My objective is to discover a way to use the sets too mimic the complex mathematical visualisations of so-called Mandelbrot zooms created in the well-known computer animations.
Sea Chords - A technical description of their derivation and use
Anyone who has read the programme notes of any of my works since the early 90s will have come across frequent references to something called “sea chords” and perhaps wondered what on earth they are. The sea chords are so-called because they were invented for the sea interludes of my opera “Seven Stars”. In this paper I describe how they were devised and what rules and procedures I have been able to develop to govern their use in musical composition.
The Creation Project
The Creation Project is a planned collection of settings for choir and instrumental ensemble or orchestra of texts that trace the story of scientific and cosmological discoveries over the past 600 years selected from the visionary writings of men and women of science who contributed to the advance of knowledge and understanding.
The Creation Project was prompted by my growing sense of incongruity when taking part in performances of Haydn’s “Creation”. Much as I admire Haydn’s great oratorio from a musical point of view, I can no longer take seriously a work which celebrates the now discredited biblical version of the creation of the world in seven days by an all-knowing and all-powerful god.