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In graph Frontier
AcousticsPhysicsAudio EngineeringEstablished

Decibel

A logarithmic unit expressing the ratio between two power or amplitude quantities.

Also known as: dB

DecibelSound intensityLogarithmDynamic rangeSignal-to-noise ratioHearing ThresholdSound waveAmplitudeEqual temperament

At a glance

Type
information
Disciplines 3
AcousticsPhysicsAudio Engineering
Mental models 1
Scale
Role in the graph
Cross-disciplinary bridge
reaches 7 discipline lenses

Key signals

Cross-disciplinary reach
Disciplines
3
  • Acoustics
  • Physics
  • Audio Engineering
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

Decibelis derived fromLogarithmEstablished

Open Logarithm →

decibel is derived from the logarithm.

Mechanism: The decibel is defined as ten times the base-ten logarithm of a power ratio.

Sources:

Enables · leads to

Dynamic rangeis derived fromDecibelEstablished

Open Dynamic range →

dynamic range is derived from the decibel.

Mechanism: Dynamic range is expressed as a level ratio in decibels.

Sources:
Signal-to-noise ratiois derived fromDecibelEstablished

Open Signal-to-noise ratio →

signal-to-noise ratio is derived from the decibel.

Mechanism: SNR is expressed as a power ratio in decibels.

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 Hearing Threshold and Signal-to-noise ratio from 2 to 8 steps (they stay connected — alternative routes exist).

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

  • 60% of its relationships cross field boundaries, reaching 7 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 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.

60%

cross-field
2 within-field, 3 cross-field

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

Strengths & constraints

Strengths

  • Cross-disciplinary connector — 60% 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

  • 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.

LogarithmDynamic rangeSignal-to-noise ratioDecibel◀ 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.

Acoustics

Through this lens it connects to Sound intensity.

Decibel through the Acoustics lens →

Physics

Through this lens it connects to Sound intensity.

Decibel through the Physics lens →

Audio Engineering

Through this lens it connects to Dynamic range.

Decibel through the Audio Engineering lens →

Formula

Decibel (intensity level)

A logarithmic ratio of a quantity to a reference — here sound intensity.

  • I — measured intensity
  • I_0 — reference intensity

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?”

Scale30 disciplines · 43 concepts
Mathematics
AreaAverageInfinityLogarithmNumberOrder of magnitude+6
Astronomy
Apparent magnitudeDark matterEarthGalaxyLight-yearScale+2
Chemistry
AtomAvogadro constantChemical elementConcentrationKinetic theoryMacromolecule+2
Computer Science
AbstractionAnalysis of algorithmsBig O notationHierarchyIntegrated circuit
Geometry
AreaScaleSurface-area-to-volume ratioSymmetryVolume
Biology
HierarchyOrganelleSurface-area-to-volume ratioTaxonomy
Earth & Space Sciences
EarthGeologic time scaleOceanRichter scale
Economics
Economies of scaleGini coefficientGross domestic product
Algebra
LogarithmProportionality
Algorithms
Analysis of algorithmsBig O notation
Arithmetic
NumberRatio
Cell Biology
OrganelleSurface-area-to-volume ratio
Geology
Geologic time scaleRichter scale
Optics
Visible spectrumWavelength
Software Engineering
AbstractionHierarchy
Architecture
Surface-area-to-volume ratio
Atomic Physics
Atom
Biochemistry
Macromolecule
Computational Complexity
Big O notation
Data Structures
Hierarchy
Design
Symmetry
Electrical Engineering
Integrated circuit
Electronics Engineering
Integrated circuit
Geography
Scale
Macroeconomics
Gross domestic product
Oceanography
Ocean
Quantum Physics
Quantum mechanics
Statistics
Average
Systems Science
Hierarchy
Visual Arts
Symmetry
See the pattern →

Concepts

  • LogarithmMathematicsAlgebra

    shares a mental model · crosses a discipline boundary

  • HierarchySystems ScienceBiologyComputer Science

    shares a mental model

  • Surface-area-to-volume ratioBiologyMathematicsArchitecture

    shares a mental model

  • ScaleMathematicsGeographyAstronomy

    shares a mental model

  • SymmetryMathematicsVisual ArtsGeometry

    shares a mental model

  • Big O notationComputer ScienceAlgorithmsComputational Complexity

    shares a mental model

Mental models at work here

Scale

How a system's size changes what matters about it. Quantities rarely scale in step: doubling a length can quadruple an area and multiply a volume eightfold.

Ask what changes when you make it ten times bigger or smaller — the rules often change with the size.

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 “Dependency” kind.
  • It exercises 1 reusable thinking pattern.

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

Sources