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In graph Frontier

At a glance

Type
Mental models 0
Role in the graph
Cross-disciplinary bridge
reaches 11 discipline lenses

Key signals

Cross-disciplinary reach
Disciplines
3
  • Physics
  • 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.

Enables · leads to

Absolute threshold of hearingdepends onFrequencyEstablished

Open Absolute threshold of hearing →

absolute threshold of hearing depends on frequency.

Mechanism: Sensitivity is best around 2–5 kHz and worse at the extremes.

Sources:
Equal-loudness contourdepends onFrequencyEstablished

Open Equal-loudness contour →

equal-loudness contour depends on frequency.

Mechanism: The ear's sensitivity varies strongly with frequency, which the contours capture.

Sources:
Harmonic ratiois derived fromFrequencyEstablished

Open Harmonic ratio →

A harmonic ratio compares two frequencies.

Mechanism: The ratio is simply one frequency divided by another.

Pitchdepends onFrequencyEstablished

Open Pitch →

Pitch depends on frequency.

Mechanism: Higher frequency is heard as higher pitch; the ear and brain map frequency onto pitch.

System context

Frequencyis part ofSound waveEstablished

Open Sound wave →

Frequency is a property of a sound wave.

Mechanism: Frequency counts how many wave cycles pass each second.

Cutoff frequencyis aFrequencyEstablished

Open Cutoff frequency →

cutoff frequency is a kind of frequency.

Mechanism: The cutoff is a specific frequency marking the filter's edge.

Sources:
Fundamental frequencyis aFrequencyEstablished

Open Fundamental frequency →

fundamental frequency is a kind of frequency.

Mechanism: The fundamental is the first and lowest frequency of the harmonic series.

Sources:

Structural role & consequence

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

  • Removing this node lengthens the structural route between Audiogram and Cutoff frequency from 2 to 9 steps (they stay connected — alternative routes exist).

    structural · Structural removal simulation — not a historical or causal counterfactual.

  • 36% of its relationships cross field boundaries, reaching 11 other disciplines — unusual in a discipline where most concepts stay within their field.

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

  • Currently dark in the atlas: no verified source · no key date stored · 11 of 11 of its relations lack claim-level evidence.

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

  • Structural neighbourhood: 11 → 56 → 147 concepts reachable within 3 hops.

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

36%

cross-field
7 within-field, 4 cross-field

0 of 11 relations carry evidence · concept unsourced

Strengths & constraints

Strengths

  • Cross-disciplinary connector — 36% of its relationships cross field boundaries. structural

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

  • 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.

Absolute threshold of h…Equal-loudness contourHarmonic ratioPitchFrequency◀ builds onenables ▶

What builds on this

3 concepts build on this directly, 3 in total, across 6 disciplines.

AcousticsAudiologyCognitive ScienceMusicPhysicsPsychoacoustics

Structural downstream reach along dependency edges — not a claim of historical necessity.

Seen through each discipline

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

Mathematics

Through this lens it connects to Harmonic ratio.

Frequency through the Mathematics lens

Music

Through this lens it connects to Sound wave, Pitch and Harmonic ratio.

Frequency through the Music lens

Where you'll meet it

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

Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.

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

The scientific picture
  • Connects 11 other ideas across 3 disciplines.
  • A cross-disciplinary bridge — its connections reach into 11 other fields.
  • Most of its connections are of the “Dependency” kind.
  • It features in 1 learning journey.

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

Sources

No primary source is attached to this concept yet. In a real deployment this would be required before publication.