Moon Phases

Francis Heery

The first inception of Moon Phases was as a solo performance/installation I did at Thoor Ballylee, the castle in the West of Ireland once belonging to W.B. Yeats. It was commissioned by Galway County Council, and performed on Culture Night in September 2018. It was a response to Yeats’ occult work A Vision (1925, revised edition pub. 1937). The two main themes of this strange work are the gyre (or vortex) and the 28 phases of the moon. For this first performance I programmed an interface in Max/MSP that created a set of 28 drones, each with various degrees of unpredictable behaviour, so that the interaction of the tones differ each time the patch is run. The original performance was over 5 hours long.

In 2022 I was given the opportunity to expand the work for Quiet Music Ensemble. So I augmented the drone part with a score consisting of a set of 28 cards, inspired by tarot and sigil forming, and a time-schema organising how the ensemble were to interact with each other. This latter part contained information related to the particular phase of the moon on the date of performance which influenced the interactions of the players. This version was performed at the Solstice Arts Center on the evening of the 2nd of July, as dusk fell. For this contribution to QME’s Sonic Book, I’d like to focus on the ideas behind the spectral drone patch, and in particular on how Yeats’ occult thought and my own interest in this field inspired it.

Yeats’ A Vision

A Vision is one of Yeats’ most fascinating and personal works, but remains rather neglected, due to its uncompromising esoteric style and decidedly occult content. It is the result of thousands of pages of notes Yeats took over many years’ collaboration with his wife Georgie (née Hyde-Lees) (W.B. called her George, a suitably hermaphroditic moniker given his interests in esotericism, where the conjunction of opposites is a prominent concept). She was very learned in metaphysics and in occult studies, which were quite a preoccupation in certain upper middle class circles in Europe and America at the beginning of the 20th century. Almost on a daily basis they would sit together and George would enter into trance like states and channel, either through speaking or writing, messages and statements that purportedly came from a variety of spirits. W.B. would ask George, or the spirits, questions and press her for elaborations on what were invariably rather ambiguous utterances. Yeats was assiduous in writing notes to document the sessions and A Vision was derived from these.

A Vision comes relatively late in Yeats’ oeuvre and, maybe surprisingly, does indeed stand as an authentic and lasting contribution to the European occult tradition, even as it contains subtle elements of playful irony, which show that Yeats was very aware of the obtuseness of the project, and of how it would be received (with considerable confusion in some circles). Like the counter-balancing of light and dark that features so centrally in the system, A Vision is an ambivalent and puzzling work, and as such sits very comfortably among the classics of alchemical and occult literature. Indeed one of the most interesting questions we can ask is what was the extent and, more importantly, the nature of the Yeats’ credulity in this strange theory they spent so many years constructing. Nonetheless it is important to remember that much of his highly-praised late poetry is rooted in the occult system he constructed in A Vision, and the strength of his late work can be attributed to his committed engagement with occultism.

Hermeticism and Ring Modulation

Yeats would undoubtedly have been familiar with a brief work titled The Emerald Tablet by one Hermes Trismegistus, perhaps the most significant text in European occult thought. Hermes was a mythical figure, first mentioned in texts from the 2nd or 3rd century BC, who was believed by Renaissance thinkers to be a source of the most profound wisdom and, among other things, the inventor of alchemy. Frances Yates in her superb Giordano Bruno and the Hermetic Tradition, illustrates the high regard in which Hermes Trismegistus was held in the Renaissance. She says that Cosimo de’ Medici had the unique opportunity to commission the translation of the works of Plato, which had only very recently been made available. He had set the process in motion, when suddenly the writings of Hermes were discovered. Cosimo, an old man, abruptly told the translator to set aside Plato and begin work on the Corpus Hermeticum at once. Presumably, with not much time left to live, reading Hermes was even more important to Cosimo than even Plato (Yates, Giordano Bruno and the Hermetic Tradition, Routledge, 2002 p. 13-14).

The writings attributed to Hermes Trismegistus brought to alchemy, especially in its more speculative ‘philosophical’ guise, one of its central concepts, which is also central to A Vision: the dynamic interplay and ultimately transcendent conjunction of opposites. This idea is succinctly expressed in The Emerald Tablet by the phrase ‘As above, so below’, which became something of an archetypal point of orientation for magicians, alchemists and all sorts of other speculative trans-rational thinkers up to Yeats’ time and even beyond.

In light of this, I’d like to present aspects of the electronics part that I wrote for Moon Phases, as it is the element in the composition that is most closely tied to the occult tradition outlined above, and served as the foundation for the composition performed by QME in 2022. It makes a lot of use of Amplitude Modulation and Ring Modulation, which, as I was working on the piece, I began to see as a very suitable form of synthesis for a work inspired by occult thought. Indeed it became clear that RM is the Hermetic synthesis par excellence… more on this below.

Alchemy

But first a little bit of personal context. Over the past few years I’ve found the field of alchemy and pre-Enlightenment occult thought to be quite fascinating and it has played an increasingly prominent role in my music. Moon Phases for QME was the first instrumental composition I wrote where this paradigm was central to the creation of the work.

My interest stems from a paper I presented at a conference on alchemy and aesthetics held at Aberystwyth University, entitled The Spectral Music of Horatiu Radulescu: An Alchemical Perspective. Attending the conference confirmed what I had suspected from my own research into alchemical thought: that alchemy (here I’m speaking mostly about European alchemy which flourished between the 15th and 17th centuries), far from representing a rudimentary and slightly embarrassing intellectual fumbling towards modern scientific rationalism, represented instead a rich (although admittedly very ambiguous) field of thought which, in many ways, came from somewhere quite independent to our own post-Enlightenment paradigm. I say in many ways because it is true that one strand of alchemy developed into chemistry proper. But, for a relatively short time another strand of alchemy developed alongside this which took a more philosophical approach. Here, the physical processes in the laboratory were taken as catalysts for heady metaphysical speculation. This resulted in something that was a strange concatenation of religious belief, depth psychology, poetry, affective imagery, visionary hysteria, proto-phenomenology, aesthetics as well as scientific exploration.

It would be inaccurate to see the alchemists as merely taking faltering baby-steps toward the light-switch of modern thought. Rather many of them were engaged in weirder explorations, and were pointed away from the forensic illumination of the modern laboratory, where objects have clear contours that don’t waver and don’t enchant. The clearly delineated outlines of the scientific object make it all the better to measure. Whereas the alchemists’ transmutation was from metals into gold, and from the profane to the holy,  Enlightenment thinkers transmuted the world into the fixity of number and calculation.

It’s easy to deride the alchemists’ quest to turn base metal into gold, if we assess it based on current epistemological value systems. The attraction for me is in attempting the almost impossible task of understanding pre-Enlightenment thinking on its own terms and to try and enter into a serious rapport with fields as strange as Renaissance magic, Cabala, sigil forming, Hermeticism, divination and the aforementioned alchemy. Alchemy retained a numinous quality in its exploration of reality, and accepted the necessity of including the self as an integral participant in that  reality. Furthermore it brought mood and an element of Dionysian enthusiasmos into the otherwise clinical setting of the laboratory. These qualities are characteristic of occult thought in general. We could even speculate that alchemy and occultism represent a more ideal state where aesthetics, religion, depth-psychology and scientific enquiry are integrated as a more sophisticated means of understanding the world.

The Moon Phases Drone Patch — Gyres, Lunar Phases and Sidebands 

The Sine Tone / Phasor

The essential theme in A Vision is the dynamic interaction of opposites, which underlies both the imagery of the waxing and waning of the moon and the movements of the gyre.

In Yeats’ system both the deep inner workings of the self and the courses of human history could be understood as a constant interplay of opposing forces, represented by the gyre / moon symbolism. In the acoustic realm, the sine tone (or phasor) expresses this oscillating movement succinctly, and this was the initial building block of the composition.

Amplitude Modulation and Ring Modulation

The synthesis method used is either amplitude modulation (AM) or ring modulation (RM), which create symmetrical ‘reflected’ sidebands above and below a central frequency axis; a carrier signal, in AM, or the absence of a carrier signal in RM.

The reason for this choice of synthesis comes from Yeats’ interpretation of the gyre. The gyre is a dynamic symbol, and is in constant oscillating motion from singularity to its widest possible circumference, and back (or from complete subjectivity to complete objectivity). Each widening or narrowing of the gyre is accompanied by an equal and opposite movement. Thus the gyre is really a ‘double gyre’ where its opposites “whirl in contrary directions” (Yeats, A Vision, 1937). With a little poetic licence, the image of two interacting gyres also expresses the interaction of two sine signals in the process of AM or RM. The whirling, or oscillating motion of one gyre, or sine wave, when modulated by a second sine wave or gyre, enters into a process of constant expansion and contraction, from zero amplitude to full amplitude, the frequency of which is determined by the modulator. What emerges is a dynamic conjunction (a mysterium coniunctionis in Carl Jung’s teminology) of the two signals, which both integrates and transcends their binary relation and creates a new sonic phenomenon.

The pairs of sidebands created by these modulation techniques resonate with the theme of intimately connected opposing forces. The creation of new tones symmetrically positioned ‘above’ and ‘below’ the carrier, (or anti-carrier in RM, where there is no distinction between carrier and modulator, just two signals modulating each other) also calls to mind the main tenet of the Hermetic tradition: “As above, so below”.

Ring modulation also works as an appropriate symbol for the absence, but implied presence of the solar symbol in Yeats’ lunar-orientated system. I was looking for a way to somehow express the implied solar symbol, and realised that it was already present in the process of RM.  The sidebands in RM orbit (to borrow Radulescu’s idiosyncratic phrase) a central frequency, which, although not heard, or spectrally present, functions as an imperceptible axis through which the sidebands can symmetrically reflect each other.

Crossfading the Four Faculties

In the Moon Phases Max patch, each phase of the moon is sounded by the interaction of four AM/RM patches. They are named after the four faculties in A Vision: Will, Mask, Creative Mind and Body of Fate. Will and Mask form one pair; Creative Mind and Body of Fate the other. These two pairs crossfade over time. The duration of the crossfades follows randomly chosen prime number durations. (See Moon Phases Schema for a diagram of the program’s architecture).

Spectral Harmonies and Lunar Time

The modulation frequencies of the faculties are tuned to integer ratios, making the work a dense, integrated spectral composition, with the carrier tones tuned to pure Pythagorean fifths above and below a fundamental of 128 Hz (the 128th partial of a 1 Hz fundamental). Finally the timing units are set as a combination of standard seconds or ‘lunar seconds’ calculated as ratios of the synodic lunar month (1: 1.21662)

 

Bells and Whistles

And on a final speculative note, I was intrigued to find out after I performed the first version of Moon Phases in Thoor Ballylee, that Yeats once recounted hearing strange whistling sounds and bell-like tones echoing through the castle, which he was happy not to be able to explain. It struck me that this could very well describe the overall timbral character of the drones and small bells that I used in my first solo performance of Moon Phases which echoed round Yeats’ castle on the 21st September 2018. Was Yeats’ experience a premonition of this Moon Phases perhaps? Were the two events symmetrically related, like sidebands or two opposing gyres whirling through each other — the future event already present in the past..?

Further Reading

Lyndy Abraham (ed.) A Dictionary of Alchemical Imagery
Mircea Eliade, The Forge and the Crucible
Carl Jung, Mysterium Coniunctionis
Frances Yates, Giordano Bruno and the Hermetic Tradition
Frances Yates, The Occult Philosophy in the Elizabethan Age
W.B Yeats, A Vision A (1925)
W.B. Yeats, A Vision B (1937) 

Online Resources

Neil Mann, https://www.yeatsvision.com/
Adam McClean, The Alchemy Website, https://www.alchemywebsite.com/adam.html
Adam McClean, Youtube channel, https://www.youtube.com/@AdamMcLean