If song demonstrates that value and meaning can be co-instantiated without hierarchy, notation presents a more radical configuration. Here, music is no longer coupled to a semiotic system in the course of its unfolding. Instead, it is reconstituted under semiotic construal.
This is not a matter of representation. Notation does not stand in for music, nor does it translate musical events into symbolic form. Such accounts presuppose that music is already a kind of meaning waiting to be encoded. But if music is a system of value—of coordinated relation—then there is nothing there to “represent” in the semiotic sense.
What notation does is more precise, and more consequential:
it constructs a semiotic system whose instances can be realised as musical events.
1. Against Representation
The idea that notation represents music rests on a category error. Representation presupposes a stable object that can be encoded and decoded across media. But music, as value, is not an object. It is an event of coordination, a temporal actualisation of relational potential.
To notate music, then, is not to capture an object, but to reconfigure a field of potential under a different regime.
Notation does not answer the question:
What does this music mean?
It answers a different question:
Under what conditions could musical events be systematically produced?
This shift—from meaning to condition—is decisive.
2. The System as Theory of the Instance
Notation brings into view, with unusual clarity, the principle that a system can function as a theory of its own instances.
A musical performance is an instance of value: a coordinated event unfolding in time. A score, by contrast, is not an instance of that event. It is a semiotic construct that specifies a space of possible instances.
In this sense, notation does not sit “alongside” music. It operates at a different level:
music actualises value as event
notation construes a system of potential events
The relation between them is not one of equivalence, but of reconstitution. Music is re-actualised as a system—no longer only as unfolding coordination, but as a structured potential that can be instantiated, varied, and re-instantiated.
3. The Displacement of Time
One of the most immediate effects of this reconstitution is the displacement of time.
In musical performance, time is lived: it is the medium of coordination itself. In notation, time is spatialised:
duration becomes proportion
sequence becomes arrangement
simultaneity becomes vertical alignment
This spatialisation is not a neutral transcription. It is a transformation of the conditions under which music can be apprehended and produced. What was once an event becomes a configuration—a structured field that can be surveyed, manipulated, and abstracted.
The temporal logic of value is thus recast as a spatial logic of meaning.
4. Constraint and Affordance
As a semiotic system, notation both constrains and enables musical practice.
It constrains:
by selecting which aspects of musical coordination are to be systematised (pitch, duration, dynamics, etc.)
by imposing discrete categories onto continuous variation
It enables:
by stabilising patterns across instances
by allowing coordination across distance and time
by making possible forms of complexity that exceed immediate co-presence
These are not secondary effects. They are intrinsic to the reconstitution itself. To notate music is to alter the space of its possible instances.
5. The Emergence of the Work
One of the most consequential effects of notation is the emergence of what is often called the “musical work.” This is not a discovery, but a product of the coupling.
When music is construed as a system of potential instances, it becomes possible to treat those instances as realising the same underlying structure. The “work” is thus not identical with any performance, nor reducible to the score. It is the invariant posited across a field of instantiations.
This invariance is not given in the value system itself. It is introduced through semiotic construal.
The work, in this sense, is a theoretical object: a function of the reconstitution of value under meaning.
6. Non-Equivalence of Systems
It is essential to maintain that notation does not exhaust music.
There is no one-to-one mapping between score and performance:
performances diverge from scores in systematic and non-systematic ways
aspects of coordination remain unnotated or unnotatable
the lived temporality of music cannot be fully spatialised
This is not a limitation of notation, but a consequence of the non-equivalence of systems. A semiotic system cannot fully capture a value system, because they operate under different principles.
The coupling is therefore partial and selective. It reconstitutes, but does not replicate.
7. From Co-Instantiation to Reconstitution
With notation, the relation between value and meaning shifts fundamentally.
In song:
music and language are co-instantiated in a shared event
In notation:
music is not co-instantiated with meaning
it is reconstructed as a semiotic system of potential instances
The coupling is no longer anchored in performance, but in construal. Meaning does not accompany value; it reorganises it.
8. The Opening to Theory
Once music has been reconstituted as a semiotic system, a further transformation becomes possible. The system itself can become the object of additional semiotic operations.
This is the domain of music theory.
Where notation construes a system of potential instances, theory operates upon that construal:
identifying patterns
formulating relations
constructing explanatory frameworks
This is not a direct coupling between meaning and value, but a second-order coupling: meaning operating on meaning derived from value.
The consequences of this shift will be the focus of the next chapter.
Notation does not merely record music. It changes what music can be. By reconstituting value as a system of potential instances, it opens a space in which music can be stabilised, transmitted, and theorised—without ever ceasing to be, in its actualisation, a system of value.
The distinction must be held: music is not meaning. But under notation, it becomes thinkable as if it were.
That “as if” is the hinge on which the rest of the system turns.
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