A melody cannot be heard all at once in the way that a page can be glanced at. Its relations unfold. A note can answer an earlier phrase, delay an expected resolution or make a previous sound acquire a new significance. Music makes duration something we organize as well as something we measure.
Equal intervals, different groups
Imagine twelve equal beat intervals, each lasting one second. Sound a beat at seconds 0 through 11 and mark the end at second 12. The complete span lasts twelve seconds.
First group the beats in threes, emphasizing beats 1, 4, 7 and 10. Then group the same beat positions in fours, emphasizing beats 1, 5 and 9. The underlying onset times stay fixed, but the accents establish different recurring boundaries.
| Grouping | Emphasized beat numbers | Groups | Total span |
|---|---|---|---|
| In threes | 1, 4, 7, 10 | 4 groups of 3 | 12 seconds |
| In fours | 1, 5, 9 | 3 groups of 4 | 12 seconds |
You can try the grouping by tapping softly and counting aloud. For a second comparison, keep the taps equally strong while imagining the accents. The point is to notice the distinction between the event times, the supplied accents and the grouping you attend to. There is no required subjective response.
Tempo is another variable
Now change the tempo. At sixty beats per minute, twelve beat intervals occupy twelve seconds; at one hundred and twenty beats per minute, they occupy six. This changes the physical durations between beats. Regrouping the original beats did not.
The counting convention matters. Twelve onsets numbered 1 through 12 contain only eleven intervals between the first and last onset. Our example includes the final interval after beat 12, ending at the next boundary. Being explicit prevents a small counting ambiguity from becoming a mistaken claim about duration.
Musical time can therefore involve at least three distinguishable structures: the timing of events, recurring groups within them, and the larger course of phrases. A single number for total length cannot express all three.
An experimentally studied distinction
Nozaradan and colleagues recorded EEG while participants heard a beat and imagined binary or ternary meter. The measured responses included activity at the beat frequency and additional components associated with the imagined metric interpretation. The study supplied an experimental way to investigate grouping that was not simply read off from changes in the presented beat.
That result does not mean that an EEG trace contains the whole experience of music. It establishes a more specific relation between a task and a measured response. Its value here is to show that temporal organization can be studied while distinguishing the stimulus from the interpretation participants are asked to maintain.
Remembering and expecting
Suppose a phrase repeats twice and begins a third time. An anticipated ending can become part of the experience before it sounds. If the composer delays or alters it, the delay matters against that expectation.
Meanwhile, what has already sounded remains relevant without continuing to sound physically. The heard beginning and expected ending help organize the current note. A sequence is experienced through relations that extend beyond the sound arriving at one isolated instant.
Augustine's discussion of reciting a familiar psalm in Confessions XI.28 follows a related structure: what is about to be recited is expected, what has been recited is remembered, and attention accompanies the unfolding action. It remains a useful starting point for reflecting on a temporally extended experience.
What music contributes to the Reality project
Music offers a concrete setting for questions that otherwise become abstract very quickly. What makes several events one phrase? Which relations can survive a change of tempo? What must be retained for a later note to function as a return?
These questions connect naturally with experienced duration and predictive memory. The connection does not require a claim that musical structure is identical to a physical theory of time. It begins with a shared explanatory problem: how a sequence acquires an organization that isolated events do not display.
When reading the Single Monad and Duality of Time discussions of sequence and completion, music can serve as an analogy worth examining. State what the analogy captures—perhaps the role of relations across a sequence—and where it stops. A listener's anticipation is not, by itself, a derivation of the underlying structure of spacetime.
Sources and further reading
- Nozaradan, Peretz, Missal and Mouraux (2011), “Tagging the Neuronal Entrainment to Beat and Meter,” Journal of Neuroscience 31, 10234–10240; author-institution record and full text.
- Augustine, Confessions, book XI, chapter 28.
- Being and becoming: the relation between a completed history and its unfolding.