Thinking·OS

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Explore the knowledge graph

Octave is a Harmonic ratio. Activate to inspect this relation.Harmonic ratio is derived from Frequency. Activate to inspect this relation.Consonance depends on Harmonic ratio. Activate to inspect this relation.Tuning system is derived from Harmonic ratio. Activate to inspect this relation.Tuning system trades off with Consonance. Activate to inspect this relation.Harmonic ratio is a Ratio. Activate to inspect this relation.Musicology applies to Tuning system. Activate to inspect this relation.Musical interval is derived from Harmonic ratio. Activate to inspect this relation.Dissonance emerges from Harmonic ratio. Activate to inspect this relation.Dissonance is commonly confused with Consonance. Activate to inspect this relation.Harmonic series explains Consonance. Activate to inspect this relation.Equal temperament is a Tuning system. Activate to inspect this relation.Equal temperament is derived from Logarithm. Activate to inspect this relation.Just intonation is a Tuning system. Activate to inspect this relation.Just intonation is derived from Harmonic ratio. Activate to inspect this relation.Beat frequency applies to Tuning system. Activate to inspect this relation.Just intonationTuning systemHarmonic ratioEqual temperamentConsonanceBeat frequencyMusicologyRatioOctaveFrequencyMusical intervalDissonanceLogarithmHarmonic series
Relationship types
Legend
  • Focused concept
  • Connected concept
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
  • Node colour marks the concept’s primary discipline
14 concepts16 relationships11 disciplines6 relation families

Just intonation

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At a glance

A tuning in which intervals are pure whole-number frequency ratios.

Disciplines
Music Theory · Mathematics · Music
Role in the graph
Cross-disciplinary bridge — reaches Cultural Studies, Culture, Physics
Relationships
2 · 2 relation families

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 11 disciplines: Acoustics, Algebra, Arithmetic, Cognitive Science, Cultural Studies, Culture, Mathematics, Music, Music Theory, Musicology, Physics.
  • Just intonation is a bridge concept — viewed here through Mathematics, Music, Music Theory.
  • The connections here span 6 relation families.
  • Wave explains 2 concepts in this view (Acoustics, Music, Music Theory, Physics).

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

Explore through a different lens

A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.

By discipline

ChemistryBiologyPhysicsMathematicsComputer ScienceGeologyMineralogyEconomics

By thinking pattern

Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves

By journey

From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.