The Universal & Atomic Elements of Organization
A falsifiable scientific theory proposing that the same irreducible structures organize both thought and reality — from the quantum to the social scale.
O-Theory proposes that four irreducible structures — Distinctions, Systems, Relationships and Perspectives (DSRP) — form the universal grammar of organization. Rather than being merely useful ways of thinking, these structures are hypothesized to be the atomic elements from which every organized phenomenon emerges, whether in cognition, biology, physics, mathematics, society, or the cosmos.
| D | S | R | P |
| Distinctions | Systems | Relationships | Perspectives |
| Identity ↔ Other | Part ↔ Whole | Action ↔ Reaction | Point ↔ View |
| D := (i ↔ o) | S := (p ↔ w) | R := (a ↔ r) | P := (ṗ ↔ v) |
This is a living scientific evidence compendium: an open, continually evolving collection of independent empirical research, formal theory, mathematical proofs, cross-disciplinary analyses, applications, critiques, and proposed falsifications. Every entry is included because it supports, refines, challenges, or attempts to falsify the theory.
Scientific theories are strengthened not only by evidence that confirms their predictions, but also by surviving attempts to falsify them. This compendium brings both together: independent evidence from researchers who were not testing DSRP and proposed counterexamples evaluated against the formal theory.
One counterexample is enough to falsify O-Theory. Until then, the question remains: do the same four structures organize everything from quantum systems to human thought?
Independent convergence is one of the strongest forms of scientific evidence because researchers arrive at the same conclusion while investigating different questions for different reasons.
The number is not the point. Researchers in different fields, studying different questions with different methods, repeatedly arrived at the same structural predictions—almost always without testing DSRP or using its language.
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This compendium began as the peer-reviewed literature review “A Literature Review of the Universal and Atomic Elements of Complex Cognition,” published in the Journal of Systems Thinking with 109 studies. That paper is the peer-reviewed foundation. What you see here is its living, continuously updated version . New studies are checked before they are added, and the collection now holds and keeps growing. Open any card to see what the researchers found, why it bears on DSRP, and where the original review discusses it, the fuller account.
The collection is updated continuously, so the citation carries the date you consulted it rather than a study count — the count changes weekly, and putting it in the reference would make the same collection look like a different work to everyone who cites it. To cite a single claim or study, use its own address: every one has a permanent link.
This is the adversarial half of the compendium. Where the evidence track asks what converges on DSRP, this one asks what would end it: a single organized phenomenon whose structure needs a fifth pattern, a ninth element, or a fifth structural dynamic. It holds written up from candidates across territories, and resolutions — the general answers those cases settle against. Every case is published whether it held or failed, including the ones still open.
Cite this rather than the evidence collection when the point is what survived attack. The two are separate works with separate addresses: one asks what converges on the theory, the other asks what would end it, and a reference to the first does not support a claim about the second. Case and resolution numbers change when the record is revised, so cite a case by its own permanent link rather than by number.
This collection is meant to keep growing. Send us a study, paper, book or critique that bears on DSRP, whether it supports the theory or cuts against it, and we will read it and decide whether it belongs.
Authors Tenney, James and Polansky, Larry
Year 1980
Publisher Journal of Music Theory
Kind of work article
Discipline Music Theory
Secondary disciplines Cognitive Science, Computer Science & AI
Applied false
Read it at the publisher 10.2307/843503
To ask whether the perceptual boundaries of musical temporal gestalt-units can be predicted and simulated by a computer algorithm.
Four monophonic works: Varèse's Density 21.5, the second movement of Webern's Concerto Op. 24, Debussy's Syrinx, and the English horn solo from Wagner's Tristan und Isolde.
Music is represented as points in a multidimensional space of time, pitch and intensity, with city-block distance between successive elements. A new unit is initiated where the distance from the preceding element exceeds the distances immediately before and after it. At higher levels a disjunction measure combines mean-distances and boundary-distances, with weights that halve at each lower level. Weightings were tuned piece by piece.
The program locates unit boundaries at several hierarchical levels (element, clang, sequence, segment, section) that the authors describe as at least plausible. Best weightings differed from piece to piece (equal weights for Debussy; pitch strongly suppressed, 0.03, for Wagner) and were found by trial and error. The program identifies boundaries but says nothing about their musical function.
The authors build a computer procedure that divides a melody into nested units, from single notes up to whole sections, by finding where the music jumps most in time, pitch and loudness. Applied to four solo pieces, it produces plausible segmentations.
The segmentation depends on a boundary rule (distinction) that separates each unit from its neighbors and on units nested inside larger units (system), with each level requiring at least two units from the level below. Caveats: the work models only monophonic music, the weights were fitted by hand per piece, and the authors give no independent test of the boundaries; the fit to relationships and perspectives is not argued here.
Patterns it shows D, S
Shows the structure is there
Added 2026-10-26
How to cite this Tenney, James and Polansky, Larry (1980). Temporal Gestalt Perception in Music. Journal of Music Theory.