Music Composition Using Long Short-Term Memory (LSTM) Recurrent Neural Networks

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The most straight-forward way to compose music with an Recurrent Neural Network (RNN) is to use the network as single-step predictor. The network learns to predict notes at time t + 1 using notes at time t as inputs. After learning has been stopped the network can be seeded with initial input values – perhaps from training data – and can then generate novel compositions by using its own outputs to generate subsequent inputs. This note-by-note approach was first examined by Todd.

A feed-forward network would have no chance of composing music in this fashion. Lacking the ability to store any information about the past, such a network would be unable to keep track of where it is in a song. In principle an RNN does not suffer from this limitation. With recurrent connections it can use hidden layer activations as memory and thus is capable of exhibiting (seemingly arbitrary) temporal dynamics. In practice, however, RNNs do not perform very well at this task. As Mozer aptly wrote about his attempts to compose music with RNNs,

While the local contours made sense, the pieces were not musically coherent, lacking thematic structure and having minimal phrase structure and rhythmic organization.

The reason for this failure is likely linked to the problem of vanishing gradients (Hochreiter et al.) in RNNs. In gradient methods such as Back-Propagation Through Time (BPTT) (Williams and Zipser) and Real-Time Recurrent Learning (RTRL) error flow either vanishes quickly or explodes exponentially, making it impossible for the networks to deal correctly with long-term dependencies. In the case of music, long-term dependencies are at the heart of what defines a particular style, with events spanning several notes or even many bars contributing to the formation of metrical and phrasal structure. The clearest example of these dependencies are chord changes. In a musical form like early rock-and-roll music for example, the same chord can be held for four bars or more. Even if melodies are constrained to contain notes no shorter than an eighth note, a network must regularly and reliably bridge time spans of 32 events or more.

The most relevant previous research is that of Mozer, who did note-by-note composition of single-voice melodies accompanied by chords. In the “CONCERT” model, Mozer used sophisticated RNN procedures including BPTT, log-likelihood objective functions and probabilistic interpretation of the output values. In addition to these neural network methods, Mozer employed a psychologically-realistic distributed input encoding (Shepard) that gave the network an inductive bias towards chromatically and harmonically related notes. He used a second encoding method to generate distributed representations of chords.

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A BPTT-trained RNN does a poor job of learning long-term dependencies. To offset this, Mozer used a distributed encoding of duration that allowed him to process a note of any duration in a single network timestep. By representing in a single timestep a note rather than a slice of time, the number of time steps to be bridged by the network in learning global structure is greatly reduced. For example, to allow sixteenth notes in a network which encodes slices of time directly requires that a whole note span at minimum 16 time steps. Though networks regularly outperformed third-order transition table approaches, they failed in all cases to find global structure. In analyzing this performance Mozer suggests that, for the note-by-note method to work it is necessary that the network can induce structure at multiple levels. A First Look at Music Composition using LSTM Recurrent Neural Networks

Music Territorializes Time: Deleuze. Thought of the Day 19.0

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Deleuze speaks of music expressed through pulsed and non-pulsed time. Pulsed time, or Chronos, is “territorialized time,” the “marking” of time through measure and repetition/return (“ritornello”) that is one expression of musically performative “time because it’s fundamentally the way in which a sonorous form, however simple it may be, marks a territory.” He continues, “Each time that there is a marking of a territoriality, there will be a pulsation of time.” If pulsed time is also musical time, and if both pulsed and musical time is territorial, what can be inferred of proximity?

Territorialization is the assemblage of proximities, in Deleuze and Guattari’s formation, bodies formed through not merely the association but the complicity of parts in their nearness to one another that make up bodies/territories distinct from other bodies/territories. Musical performance territorializes time because the performance of music takes (“appropriates”) embedded times in proximity (the curvature of the rate of change) and creates a body of aesthetic sound and practice distinct from non-territorialized or deterritorialized sound (the noises of traffic and machines or of digestive processes may have musically performative possibilities but are not themselves music or part of a musical territory without coming together through proximities to shared and changing time, to shared and changing space).

Deleuze reminds his listeners that territorialization (and thus pulsed time) may be embedded in measurement but is also contained in “development.” “[A]s soon as you can fix a sonorous form, determinable by its internal coordinates, for example melody-harmony, as soon as you can fix a sonorous form endowed with intrinsic properties, this form is subject to developments, by which it is transformed into other forms or enters into relation or again is connected to other forms, and here, following these transformations and these connections, you can fix pulsations of time.” Pulsations of time, or Chronos, then become even more subject to musical proximities that change in response to one another, an echo of borderswerving’s relationship to borderlinking.

Non-pulsed time, Aion, is defined rather by deterritorialization and the taking apart of “sonorous form.” Deleuze relates non-pulsed time to velocity, recalling the rate of change described by DeLanda and the dromoscopy of Paul Virilio. Aionic time is part of what Deleuze terms the “mixture” of time; Aion and Chronos blend together in a musical territorializing that is also a deterritorializing, and in these opposite yet proximal movements are proximities of becoming and unmaking. The experience of participating in a musical performance as a whole (instruments, performers, audience, composition, context, etc.) and as its component parts (notes, phrases, measures, dynamics, individual characteristics of performers and instruments) is the experience of this mixed time.

And yet, not all mixed time is musical, and not all sounds in proximity are musical. For music to occur, aesthetic proximities must become aware of their possibilities for becoming and unmaking, must perceive the friction and soothing of their near surfaces. As Deleuze questions, “¿Cuando [sic] deviene musical una voz? Yo diría, desde el punto de vista de la expresión, que la voz musical es esencialmente una voz desterrito- rializada. ¿Qué quiere decir eso? Pienso que hay cosas que aún no son música y que, sin embargo, están muy próximas a la música.” (When does a voice become musical? I would say, from the point of view of expression, that the musical voice is essentially a deterritorialized voice. Why does one want to say that? I think that there are things that are not music, and that nevertheless are very close to music.)

Husserl’s Melodies of the Absolute Flux. Note Quote.

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Husserl elaborates the basic problem of time-consciousness by taking the simple example of a melody. Observing that what we perceive endures – i.e., a melody is experienced as a unity of discrete tones, with each tone and the melody as a whole grasped as unified enduring objects – he sets out to examine how this can occur. Clearly, more than one tone must be retained in consciousness, since if each disappeared entirely after it had sounded then their succession, and therefore the melody as a whole, could never be grasped: “in each moment we would have a tone, or perhaps an empty pause in the interval between the sounding of two tones, but never the representation of a melody.” And each tone must also undergo some form of modification in consciousness, enabling it to appear “as more or less past, as pushed back in time, as it were,” since otherwise “instead of a melody we would have a chord of simultaneous tones, or rather a disharmonious tangle of sound, as if we had struck simultaneously all the notes that had previously sounded“. It is in order to account for our ability to experience such temporally extended objects as temporally extended that Husserl takes an immanent tone as his phenomenological datum.

In the characteristic phenomenological move Husserl proposes, at the outset of his lectures, “the complete exclusion of every assumption, stipulation and conviction with respect to objective time”. This suspension of the “natural attitude” towards time leaves – as the phenomenological residue – the indisputable immanent time (succession and duration) of lived experience (erlebnis). And immanent temporal objects within the immanent time of the flow of consciousness will enable reflection of the phenomenon of temporal experience free of all transcendent presuppositions. Husserl can therefore declare his task as being to “exclude all transcendent apprehension and positing and take the tone purely as a hyletic datum”.

Posing the question of “How, in addition to ‘temporal objects,’ immanent and transcendent, does time itself – the duration and succession of objects – become constituted?” Husserl points out that these are “different lines of description….” For example: “When a tone sounds … [we] can make the tone itself, which endures and fades away, into an object and yet not make the duration of the tone or the tone in its duration into an object”. Focusing on the latter, we can observe that the tone appears in “a continuity of ‘modes’ in a ‘continual flow'” – that is, appears in the mode of (as) ‘now’ or as ‘immediately past’ – even though “‘Throughout’ this whole flow of consciousness, one and the same tone is intended as enduring, as now enduring”. Because the tone itself is the same but the manner in which it appears is continually different, then description of the tone itself must be distinguished from description of “the way in which we are ‘conscious’ of … the ‘appearing’ of the immanent tone”. It is this latter that the phenomenology of time-consciousness will analyze.

Husserl accounts for our experience of the duration of the tone by distinguishing the intended temporal determinations of ‘now,’ ‘just-past,’ and ‘about-to-be’ from the consciousness that intends them: the impressional, retentional and protentional consciousness which constitute present, past, and future, respectively. As he describes it, the “source-point” (Quellpunkt) of the enduring object in the flowing stream of consciousness is the “primal impression” – consciousness of the (constantly changing) “tone-now” (Tonjetzt). And as this ‘tone-now’ is modified into ‘something that has been,’ so the primal impression passes over into retention: “the tone-now changes into a tone-having-been; the impressional consciousness, constantly flowing, passes over into an ever new retentional consciousness”. Retention not only “holds in consciousness what has been produced and stamps on it the character of the ‘just-past'” – ensuring that consciousness is always “consciousness of what has just been and not merely consciousness of the now-point of the object that appears as enduring” – but each retention is also retention of the elapsed tone retention, including in itself “the entire series of elapsed intentions in the form of a chain of mediate intentions”. In this way, retention “extends the now-consciousness” such that the “now-apprehension is, as it were, the head attached to the comet’s tail of retentions”.

This description of the extended moment is completed with the addition of protention as the symmetrical futural counterpart of retention. Protention, the intuition of the immediate future, is “just as original and unique as the intuition of the past,” Husserl writes. “Every process that constitutes its object originally is animated by protentions that emptily constitute what is coming as coming”. Retention and protention together combine to form “the living horizon of the now,” for every primal impression “has its retentional and protentional halo” ensuring that “The now point … [always] has for consciousness a temporal fringe”. The punctual now is therefore only an ideal limit, which cannot be phenomenologically given or encountered. And this description of the now as an ideal abstraction therefore applies equally to the primal impression of which it is the correlate: “In the ideal sense … perception (impression) would be the phase of consciousness that constitutes the pure now…. But the now is precisely only an ideal limit, something abstract, which can be nothing by itself”.

The temporal phases of the immanent object are, then, on a different stratum of analysis than the consciousness of those phases; the impressional, retentional, and protentional consciousness which, in intending the object as ‘now,’ ‘just-past,’ or ‘about-to-be’ “constitute the very differences belonging to time”. Husserl reaches the heart of his phenomenological account of time-consciousness with his description of how these “acts that create time” – primal impression, retention, and protention – “can be understood as time-constituting consciousness, as moments of the flow”. The ‘flow’ is made up of these partial intentions which are not fully fledged acts as such because their correlates are not objects but the temporal phases of objects. Retention, for example, “is an intentionality” but it “is not an ‘act’ (that is, an immanent duration-unity constituted in a series of retentional phases)”. The intentionality of these elements of the primal flux differs from that of apprehending or perceptual acts – they in fact constitute as a unity the apprehending act: “In perception a complex of sensation-contents, which are themselves unities constituted in the original temporal flow, undergo unity of apprehension. And this unitary apprehension is again a constituted unity”.

Husserl can therefore distinguish and outline the three levels of his analysis of time and consciousness as follows: Firstly, “the things of empirical experience in objective time”; secondly, “the constituting multiplicities of appearance … the immanent unities in pre-empirical time”; and lastly, “the absolute time-constituting flow of consciousness” which, as that which “lies before all constitution,” is the ultimate stratum of the constitutive process. This absolute consciousness “is not itself content or object in phenomenological time”. It is a ‘flow’ of “continuous ‘change'” which cannot be described as having constancy or duration, nor even as a ‘process,’ since the concept of process presupposes persistence and a ‘something’ that persists and endures through change. However, the flow does possess, in a sense, something abiding: “What abides, above all, is the formal structure of the flow, the form of the flow”. This unchanging form of the absolute flux is the retentional/impressional/protentional structure by which “a now becomes constituted by means of an impression and … a trail of retentions and a horizon of protentions are attached to the impression”. The question remains, of course, of how we can know this flow which is neither content nor object:

Every temporal appearance, after phenomenological reduction, dissolves into … a flow. But I cannot perceive in turn this consciousness itself into which all of this is dissolved. For this new percept would again be something temporal that points back to a constituting consciousness of a similar sort, and so in infinitum. Hence the question arises: How do I come to know the constituting flow?

To deal with this question Husserl recalls the ‘double intentionality’ of retention. One of these is the “‘primary memory’ of the (just sensed) tone” which “serves for the constitution of the immanent object”. But there is also the other, the second retentional intentionality which “is constitutive of the unity of this primary memory in the flow”. This “retention of retention” ensures that “each past now retentionally shelters within itself all earlier stages” and also therefore that “there extends throughout the flow a horizontal intentionality [Längsintentionalität] that, in the course of the flow, continuously coincides with itself”. By means of this, the unity of the flow becomes itself “constituted in the flow of consciousness as a one-dimensional quasi-temporal order”. The absolute flux is, therefore, self-constituting. It constitutes the unity of immanent objects in a unitary immanent time and thereby, “as shocking (when not initially even absurd) as it may seem,” also its own unity:

two inseparably united intentionalities, requiring one another like two sides of one and the same thing, are interwoven with one another in the one, unique flow of consciousness. By virtue of on limits of language of the intentionalities, immanent time becomes constituted…. In the other intentionality, it is the quasi-temporal arrangement of the phases of the flow that becomes constituted…. This prephenomenal, preimmanent temporality becomes constituted intentionally as the form of the time-constituting consciousness and in itself.

And it is this second retentional intentionality that gives us our oblique self-awareness of the flux, removing the problem of infinite regress whilst simultaneously resolving the difficulty of knowing the flow. “The self-appearance of the flow does not require a second flow: on the contrary, it constitutes itself as a phenomenon in itself”. It requires no second flow because this is a non-objectivating awareness – experienced in the same way as we experience acts, in a perceptual objectivation, without thematizing them. Unlike such acts, however, it cannot itself be made an object of reflection. Because there is no object or substance that endures, and no ‘time’ here as such, our ability to speak of the absolute flux runs up against the limits of language and conceptual thought. “We can say nothing other than the following: This flow is something we speak of in conformity with what is constituted, but it is not ‘something in objective time.’ It is absolute subjectivity and has the absolute properties of something to be designated metaphorically as ‘flow’.” Husserl is blunt about the inescapable inadequacy of his vocabulary here: “For all of this, we lack names”.

In a sense Husserl’s project in the lectures on time-consciousness can be understood as an inquiry into the constitution of constitution; into the way in which intentional acts of consciousness are constituted as temporal unities able to have as their correlate the transcendent temporally extended object. As he observes: “It is certainly evident that the perception of a temporal object itself has temporality, that the perception of duration itself presupposes duration of perception, that the perception of any temporal form itself has temporal form”. Yet Ricoeur writes that “The fact that the perception of duration never ceases to presuppose the duration of perception did not seem to trouble Husserl“, implying that Husserl was blind to the significance of his own observation. This rather offhand remark plays little role in Ricoeur’s argument for the conflict between Kant and Husserl’s respective treatments of time, but given that Husserl was clearly sorely troubled by this ‘fact’ – that it is arguably the very observation that led him beyond Kant’s standpoint to explore the temporality of the constitutive act itself.

Indian Classical Music

किन्तु वयमिदानीं ते न शक्नुमः परिचर्यां कर्तुम् : भूयिष्ठां बहुतरां ते नमउक्तिं नमस्कारवचनं विधेम नमस्कारेण परिचरेम ।

kintu vayamidānīṃ te na śaknumaḥ paricaryāṃ kartum : bhūyiṣṭhāṃ bahutarāṃ te namauktiṃ namaskāravacanaṃ vidhema namaskāreṇa paricarema |

But now I am not in a position to serve you; I offer you many verbal salutations; I serve you through salutations.

Hindustani Classical Music (2)

Music has been a cultivated art in India for at least three thousand years. It flows from the essential element of chant in ancient Vedic religious expression. More than any other musical form, the Indian raga tradition structurally and acoustically corresponds to and embodies the spiritual/religious experience. It offers a direct experience of the consciousness of the ancient world, with a range of expression rarely accessible today. All Indian instruments are played as extensions of the ultimate, because most natural, instrument — the human voice — that chants the sacred poems, mantras, and invocations of the gods.

In India music is practiced by members of hereditary guilds, often families, whose traditions remain unbroken for hundreds of years. It is the chamber music of an aristocratic society where the livelihood of the artist does not depend upon his ability and will to amuse the crowd. The musician’s education begins in infancy and he must absorb, thoroughly understand, and reproduce all that preceded him before adding his unique perspective to the living tradition. The listener is expected to respond with an art of his own: he must be technically critical, schooled in appreciation of the spirit of musical experience, contribute an attitude of reverence for the tradition, have a desire to “commune with the gods,” a preference for conviction over prettiness, authenticity over legitimacy, and an appreciation of the song apart from the singer/player.

The European musical scale has been reduced to twelve fixed notes by merging close intervals such as D sharp and E flat — a compromise of necessity in the development of the mathematical harmony that made possible the triumphs of Western orchestration, causing the Western keyboard, unlike instruments from other musical cultures, to be inherently “out of tune.” The Indian scale, on the other hand, covers the same tonal range using a twenty-two note scale to develop a purely melodic art which retains the advantages of pure intonation and modal coloring. What is fixed in Indian music is a group of intervals. The precise vibration value of a note depends on its position in a progression, not on its relation to a tonic. Following the Eastern idea that the emptiness enclosed by the form of a vessel is the actual purpose, essence, or soul of that vessel, the interval more than the note is heard as producing the continuity of sound that is the essence of music. In the Indian tradition the interval is what is sung or played as distinct from the vertical harmonic division of European song and the nature of the sound of keyed and fixed-key instruments. The quarter-tone or sruti is the microtonal interval between two successive scale notes, but as raga themes rarely employ two and never three of the seven primary scale notes in succession, microtones are heard only in ornamentation of the theme. They reveal that which lies unmanifest in the emptiness that is the heart of the vessel of melody composed of the primary scale notes. Sruti also designates the word of the guru, impossible to write but revealed by teacher to student in hushed tones or, more often, as an expression of the essence of understanding from one heart or consciousness to another.

The Indian song form, or raga (literally, coloring or passion), may be best defined as a melody-mold or ground plan of a song. Origins of the ragas are varied but all flow directly from human experience of the spiritual or religious and the responsive feeling (rasa) of love, joy, longing, or devotion. The ragas evoke feelings both human and spiritual. A myth tells of the bird Musikar or Dipaka-Lotus whose beak has seven apertures. Through each of these openings it blows a different note, and at different seasons of the year it combines them to produce ragas specific to the hour of the day and season. An egg was created from the ashes of a fire ignited by the magic sound of a raga; from this egg another Musikar was born, followed by many others. Like all myths, this conveys a truth, that of the ideal of raga — a form growing naturally, like ripples on water, a flower toward the sun, or ice crystals on a leaf of grass, whose beauty and meaning are enhanced by a sympathetic human response to the movement of spirit in the world of matter. The myth suggests the numinous, sacred qualities embodied in the raga form.

We can hear in Indian music the richest correlation of sound with the origins and manifestations of spiritual consciousness. The idea of nonmanifest sound — the essence in the interval between notes — is akin to the New Testament conception of the Word, and underlies and pervades the music. It lies beneath all that is manifest in nature, cosmic and microcosmic, and realizes itself as the multiplicities and differentiations of existence.

Philosophically, this cosmic nonmanifest sound continually creates, destroys, and recreates manifold universes. Its capacities are infinite, therefore measureless. For those who can “hear” it, it brings news of vast starry firmaments and interstellar spaces, of all universes past and all possible worlds of the future, whether those firmaments are galactic, atomic, physical, or spiritual. It is a potency, presence, possibility, and performance all at the same time. In India, music is heard not as a thing that humans make but as an aspect of the divine revealing itself (revelation/sruti) to which the musician and listeners contribute by their skill, understanding, acceptance, and appreciation.

The Dipaka-Lotus bird with its seven natural tones which make up the octave is an analogy of the seven principles or souls of sound, the seven veils of Isis or Prakriti, the seven spheres of resonance which constitute a grama (village or brotherhood), and the seven aspects not only of human but of universal nature.

The ancient Indians and their modern musical descendants believe that to one who understands fully the complex nature of a tone, the innermost secrets of our universe are revealed. Each tone in the raga is considered to have a specific spiritual and emotional charge in relation to the whole. The word svara (tone) is often defined as that which shines by itself. Tones are said by Indian musicians, as well as their ancient Chinese and Sufi brethren, to originate in the heart that responds with a spontaneous sensitivity to the movement of purusha (spirit) through prakriti (matter). The purpose of Indian song is not to dwell on and confirm the confusions of life, but to express and arouse ideal feelings and passions of body and soul in man and nature in response to the impulse of divine spirit. There is a magical aspect to sound, growing from the Vedic chants invoking the divine, though music is heard as essentially impersonal:

it reflects emotions and experiences which are deeper, wider and older than the emotion or wisdom of any single individual. Its sorrow is without tears, its joy without exultation and it is passionate without any loss of serenity. It is in the deepest sense of the words all-human. (Ananda K Coomaraswamy, The Dance of Shiva

In appreciating Indian music we experience and appreciate the consciousness of the ancient world embodied in it. It focuses and expresses the individual’s organic oneness with cosmic and natural forces that are the world we know. The materialistic focus of modern consciousness sees itself as separate from and threatened by nature. Indian music reflects a social order based in the awareness of unity and cooperation rather than on division and competition which leads to economic, social, and cultural insecurity and alienation. Goods produced and services rendered were not based on a perceived economic need for constant expansion leading to exploitation but were generated to serve needs of the organic whole. Ancient Indian consciousness focused, as does its music, on serving the needs of spirit rather than the demands of matter. Though Indian music is ancient it is not primitive: sophistication, subtlety, and assumption of the experience of spirit as the root and goal of all existence can best be described as primal. To appreciate it modern listeners must expand their ability to perceive and express human and cosmic spiritual nature, in much the same way that a child matures the primitive sing-song approach and simplistic rhythmic insistence of nursery school to include the subtlety of expression of which adults are capable.

The objective of the raga is the rasa — the aesthetic emotion — the motif embodied in the melody. As souls inhabit bodies, so every rasa is embodied in the rupa (form) of a particular raga or ragini (feminine form of raga). To invoke rasa, one meditates on the rupa that is appropriate to that raga’s essence, the distillation of mood, mode, time, and season. This meditation is shared by musician and listeners. The experience invoked by a master musician’s meditation on a fine instrument with a knowledgeable, appreciative audience is the disappearance of player, instrument, and listener — pure song, spirit singing itself into being.

Rather than confining melody to the necessities of an intellectualized harmonic concept, Indian musicians and listeners do not attempt to “chain with the mind the feet of the mysterious bird that goes to and away from the cage” (Indian folk song). The bird is pure melody, song of spirit supported by and interacting with the essential, complex rhythms of life. It is the spontaneous response of the heart, that which shines by itself, the spiritual fire of a soul lit by the radiance of nonmanifest sound, the Word, Brahman, Atman, God — divinity containing all worlds within it and evolving all worlds forth into being. The song of Brahman is AUM. Indian musical art is an imitation of the perfect spontaneity with which gods and enlightened beings understand and acknowledge that which is beyond inner and outer, rises above good and evil, is beyond conflict, is the perfection of compassion love and wisdom — the very heart of All.

The omnipresent keynote (Aum) of the universe coming into being swells from the tambura (drone) making a pedal point rich in overtones. Like all that is profound it rewards those who with patient humility seek the divine hidden in the heart of the musical experience. The drone corresponds to Brahman, the Unmanifest Logos, source and ultimate goal of Being. From and against this infinite potentiality the musician draws forth the raga whose rhythm is initially free, with the direction of what is to come subtly implied until the essential elements and graceful implications of this universe/song have been as fully explored as the musician’s inspiration and training allow. At a nod the power of the drums begins slowly to unfold, as Daivi-prakriti (Divine nature; divine will; the vital force of the universe; the “electricity” of cosmic consciousness; the Greek Eros; the Tibetan Fohat. Fohat carries the divine thought to become that which it truly is: a song of wonder at the manifold surprises hidden within and evolving from its Self, a reverential awe at the unmovable serenity from the heart of which dance and flow in waves the myriad, ever-changing aspects of THAT which is one and unchangeable. It is spirit discovering itself. The drone is Brahman, the raga is the world, as artistic microcosmic realization of the macrocosmic experience of spirit.

European rhythms are based on repeated stress, as in marching. Rather than using the bar as the fixed unit and marking its beginning with a stress or accent the Indian musician’s fixed unit is a section, or group of bars which are not necessarily alike. The rhythmic cycle of Ata Tala, for example, is counted as 5 plus 5 plus 2 plus 2. Indian rhythmic complexes count into the fifties, and cycles involving half beats (i.e., 5½, 9½) are now developing in this living musical tradition. But even during the most ecstatic moments of the second stage (gat) of the raga, during which the explicate rhythmic pattern unfolds, the drone remains as the omniscient, omnipotent cause from which proceed the origin, subsistence, and dissolution (Brahma, Vishnu, and Siva) of the raga — of the world. The activity and ecstasy of the musical universe build to a glorious climax then fade away into the drone from which they sprang like myriad bubbles of sunflecked foam that danced briefly on the swells of eternity.

As “one can never step into the same river twice” one can never play a raga exactly the same way twice. The musician seeks to express the uniqueness of the moment: time, season, audience, instrument, planets, musician, and stars will never again occur in the same relationship. Though the river is never the same it is always a river, an aspect of the ocean of divinity made manifest. With the assumption that each dewdrop and river flows from and seeks return to its divine source the musician improvises a spontaneous expression of that journey. The raga form conveys all the joy and grief of being human, yet the final absorption of that experience in Brahman transports all to a state in which the universe is perceived as neither good nor bad but simply as TAT (THAT). The raga manifests this understanding and acceptance in a personal, spontaneous, improvisatory, and fully realized expression of artistic beauty and power. It is the inner reality of things rather than any transient or partial experience that the singer/musician voices.