The Perception and Cognition of Time in Balinese Music
Cyclicity, Duration, and Tempo Transformations in Gamelan
Is Balinese time-in-music iconic of Hindu-Buddhist worldviews? Do cyclic gamelan structures reflect non-teleological time?
Through Implicit Association Tests, duration experiments, and tempo analysis, McGraw (2008) tests assumptions about
the connections between musical and general temporality.
Andrew Clay McGraw (2008) • Empirical Musicology Review
2/20Introduction
Three Central Questions
Is Balinese time-in-music iconic of Hindu-Buddhist worldviews?
Does music distort perception of objective duration?
Do tempo changes follow biologically universal structures?
3/20Introduction
The Iconicity Claim
Becker (1981): Gamelan music is "deeply imbued with Hindu-Buddhist conceptions of reality."
Cyclic gong patterns supposedly reflect cosmological time, a non-teleological and non linear, "the intimation of eternity."
Is this an actual feature of musical temporality in cognition and in performance?
4/20Introduction
Testing "Weak Iconicity"
Iconicity: The possibility that cultural worldviews and musical structures are connected in cognition.
Clayton (2000): Musical cyclicity is metaphorical "no more a circle than it is a wave."
McGraw tests this empirically on Balinese musicians with an Implicit Association Test (IAT).
5/20Experiment 1: IAT
Implicit Association Test
F.C. Donders: "The time required to perform a mental computation reveals how the mind works."
Response latency indicates implicit or unconscious associations.
Faster sorting would then indicate stronger cognitive link between categories
6/20Experiment 1: IAT
IAT Experimental Design
Subjects sorted time terms indicating duration and music terms indicating gamelan structural forms into categories.
If time-in-music and time-in-general link is strong, pairing them should be faster than pairing music-space or dance-time. The setup is meant to show whether music temporality has a priviledge correlation with cultural time.
7/20Experiment 1: IAT
IAT Findings
Result: Only weak associations between time-in-music and time-in-general.
Wide individual variation—no homogeneous pattern among performers.
The iconicity claim finds little support in implicit cognition via this testing method.
8/20Experiment 1: IAT
The Critical Gap
However, all musicians verbally agreed with Becker's iconicity thesis when asked directly.
But their implicit associations showed otherwise.
The correlation then exists in discourse, but doesn't seem to exist in unconscious cognition.
9/20Experiment 2: Duration
Duration Perception Experiment
Musicians heard 10 gamelan snippets and estimated their duration on a timeline.
Normally, we would expect denser rhythmic textures to feel longer.
How does cultural familiarity change the perception of duration?
American musicians, not familiar with Malajan overestimated same durations.
Familiarity seems to induce more efficient processing thanks to a "time flies" effect.
12/20Experiment 2: Duration
The Exception
Only one example produced majority overestimation in Balinese musicians: the extended accelerando.
Changing tempo influences duration perception beyond rhythmic and melodic density alone.
Tempo change may recruit different cognitive mechanisms than information density.
13/20Experiment 3: Tempo
Tempo Transformations
David Epstein (1985) proposed that rallentandos follow biologically-based curves, being the mental analog of a mechanical force.
Therefore, we would expect that all cultures should produce similar rallentando curves.
Do Balinese rallentandos follow these "universal" models?
14/20Experiment 3: Tempo
Three Idealized Models
Linear: Constant decrease rate
Cubic spline: Force model, supposedly "biological"
Quadratic: supposedly "unnatural"
15/20Experiment 3: Tempo
Balinese Participants Preferences
33% preferred linear supposedly "least natural"
31% preferred cubic spline
Only 14% preferred quadratic
No clear preference for "biological" curves.
16/20Experiment 3: Tempo
Terraced Rallentandos
Not smooth curves, but terraced "like Balinese rice fields".
Sudden drop → stabilization → final curve
17/20Experiment 3: Tempo
Against Biological Universalism
Idealized models are too simplistic for actual performance.
Internal clocks are flexible and context-sensitive shaped by training and culture.
Inter-domain cultural schemas (icons) are attractive because they are simplified
world(s) that abstract from the manifold complexities of the real world and bring different domains of experience into alignment.
18/20Synthesis
Convergent Information
Time-in-music results from "convergent information from different sources."
Biological, cognitive, and cultural models are not exclusive but always acting at the same time. The linking of music with extramusical concepts and
images (of time, mandala or calendars, for instance) serves as an incredibly powerful mnemonic and pedagogical tool, however difficult it might be to prove such connections as directly causal or reflective.
19/20Synthesis
Limits of Iconicity
Evidence: The unity of time-in-music and time-in-general is weak in actual cognition.
Simple reflectionism or iconicity is untenable.
20/20Conclusion
Conclusions
Temporal perception is complex, fluid, individualized.
Modes of perception are partially learned and adjustable.
High individual variation indicate the preservation of agency within cultural frameworks.
"A journal of null results might be just as valuable as a catalog of intriguing patterns."
McGraw, A.C. (2008). Empirical Musicology Review, 3(2), 38–54.
Time in Balinese Gamelan: Key Concepts
McGraw's study challenges the common conflation of time-in-music with time-in-general
through three experimental approaches: Implicit Association Tests, duration perception experiments, and analysis of tempo transformations.
The Explicit/Implicit Gap
One of the study's most striking findings is the disconnect between what musicians say they believe
and what their implicit cognition reveals. All subjects verbally endorsed Becker's
iconicity thesis—yet their IAT results showed only weak associations between musical and cosmological time.
This suggests that the music-cosmology connection exists primarily in discourse and pedagogy,
not in unconscious cognitive structures. Explicit beliefs ≠ implicit associations.
IAT Experiment
Testing implicit associations between musical time and general time concepts.
Key Findings
Only weak associations between time-in-music and time-in-general
Wide individual variation among performers
Explicit agreement with iconicity claims
Implicit cognition told a different story
Duration Perception
How does cultural familiarity affect subjective time experience?
Key Findings
Balinese: 67-86% underestimated durations
Americans: overestimated same recordings
Familiarity → efficient processing → compressed time
Exception: accelerando produced overestimation
Tempo Transformations: Terraced Rallentandos
Epstein claimed rallentandos follow biologically-based curves. McGraw's analysis of 10 Balinese works revealed
terraced structures instead:
Stage 1: Sudden drop in tempo Stage 2: Temporary stabilization (sometimes slight increase) Stage 3: Final curve to ending
"Like Balinese rice fields, the tempo transformations are terraced."
Preference tests showed no clear favoritism for supposedly "biological" curves—33% preferred linear (the "least natural" option).
Key Findings Summary
Weak Iconicity
Time-in-music and time-in-general weakly associated
High individual variation within traditions
Connection in discourse, not unconscious cognition
Universal principle → culturally specific outcomes
Balinese underestimate, Americans overestimate
Tempo changes override density effects
Cultural Shaping
Even "biological" universals show variation
Terraced rallentandos vs. smooth curves
Internal clocks are flexible, context-sensitive
Training shapes temporal cognition
Convergent Processing
Multiple sources combine, none determines alone
Biological + cognitive + cultural factors
One or another dominates in different conditions
Simple reflectionism is untenable
The Value of Null Results
McGraw makes a methodological argument worth noting: "A journal of null results in cognitive and empirical
musicology might be just as valuable as a catalog of intriguing patterns."
The vagueness of the data demonstrates something important: temporal perception is
extremely complex, fluid, and individualized. We should be wary of designing experiments that produce
neat patterns at the expense of ecological validity.