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In graph Frontier

At a glance

Type
Mental models 0
Role in the graph
Cross-disciplinary bridge
reaches 7 discipline lenses

Key signals

Cross-disciplinary reach
Disciplines
3
  • Cognitive Science
  • Mathematics
  • Music
Evidence & development

Dependencies

What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.

Foundations · builds on

Consonancedepends onHarmonic ratioContestedInterpretation

Open Harmonic ratio →

Consonance is linked to simple harmonic ratios.

Mechanism: Simple ratios make the two waves line up often, which many listeners hear as stable — though what sounds 'pleasant' is also cultural.

Confidence: The physics link is real, but consonance judgements also depend strongly on culture and exposure.

Structural role & consequence

Interpreted from the current atlas graph — what the connections mean, not just how many there are.

  • Currently dark in the atlas: no key date stored · 5 of 5 of its relations lack claim-level evidence.

    atlas representation · Describes the current Thinking OS representation, not the state of the world.

  • Builds on 1 foundation (requires / depends-on / derived-from / emerges-from).

    structural · Structural graph analysis — not a claim of importance, causation or history.

  • Structural neighbourhood: 5 → 22 → 78 concepts reachable within 3 hops.

    structural · Structural reach — being reachable is not the same as being understood.

20%

cross-field
4 within-field, 1 cross-field

0 of 5 relations carry evidence · concept has a verified source

Strengths & constraints

Constraints

  • Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
  • No dated history stored — the atlas records no key date for this concept. atlas representation

Conditions

  • Its dependency reading rests on 1 foundation relation. structural
  • Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural

Dependency radial

What this concept builds on (left) and what it makes possible (right) — derived from dependency and causal relations.

Harmonic ratioConsonance◀ builds onenables ▶

Seen through each discipline

How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.

Where you'll meet it

Journeys that walk you through this idea. You may recognise it from more than one.

This idea also appears in…

The same structure shows up in other disciplines. These are real recurrences drawn from the graph — a starting point for asking “what carries over, and what changes?”

Concepts

Explained by stage
lower secondary

Notes whose frequencies form simple ratios tend to sound consonant (stable). But what counts as pleasant is also shaped by culture and habit — it is not purely mathematics.

The scientific picture
  • Connects 5 other ideas across 3 disciplines.
  • A cross-disciplinary bridge — its connections reach into 7 other fields.
  • Most of its connections are of the “Cause & effect” kind.
  • It features in 1 learning journey.

Derived from the graph’s real structure — observations, not a score.

Sources