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.

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Time in Balinese
Gamelan Music

Andrew Clay McGraw (2008) • Empirical Musicology Review

2/20 Introduction ?

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?
3/20 Introduction !

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?

4/20 Introduction MUSIC time COSMOS time ?

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).

5/20 Experiment 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

6/20 Experiment 1: IAT TIME or SPACE MUSIC or DANCE

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.

7/20 Experiment 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.

8/20 Experiment 1: IAT EXPLICIT "Yes, iconic" IMPLICIT Weak links

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.

9/20 Experiment 2: Duration Subjective 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?

10/20 Experiment 2: Duration Majalan Ngubeng

Majalan vs. Ngubeng

Majalan ("walking"): changing melody, feels longer

Ngubeng ("spinning wheels"): static and circular, feels shorter

33% of participants overestimated majalan snippets duration vs. 5% for ngubeng (same actual length)

11/20 Experiment 2: Duration

The Dramatic Finding

Balinese musicians mostly underestimated durations (67-86%).

American musicians, not familiar with Malajan overestimated same durations.

Familiarity seems to induce more efficient processing thanks to a "time flies" effect.

12/20 Experiment 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.

13/20 Experiment 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?

14/20 Experiment 3: Tempo Linear Quadratic Cubic Spline

Three Idealized Models

Linear: Constant decrease rate

Cubic spline: Force model, supposedly "biological"

Quadratic: supposedly "unnatural"

15/20 Experiment 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.

16/20 Experiment 3: Tempo TEMPO TIME DROP STABLE CURVE

Terraced Rallentandos

Not smooth curves, but terraced "like Balinese rice fields".

Sudden drop → stabilization → final curve

17/20 Experiment 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.

18/20 Synthesis Bio Culture

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.

19/20 Synthesis

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.

20/20 Conclusion

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
  • Explicit beliefs ≠ implicit associations

Familiarity Effect

  • Efficient processing compresses subjective duration
  • 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.

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