Thinking·OS

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Chord emerges from Musical interval. Activate to inspect this relation.Chord is part of Harmony. Activate to inspect this relation.Chord progression emerges from Chord. Activate to inspect this relation.Chord progression enables Tonality. Activate to inspect this relation.Dissonance is commonly confused with Consonance. Activate to inspect this relation.Dissonance emerges from Harmonic ratio. Activate to inspect this relation.Folk music depends on Musical scale. Activate to inspect this relation.Harmonic ratio is a Ratio. Activate to inspect this relation.Harmony depends on Tonality. Activate to inspect this relation.Harmony is part of Music theory. Activate to inspect this relation.Just intonation is derived from Harmonic ratio. Activate to inspect this relation.Just intonation is a Tuning system. Activate to inspect this relation.Consonance depends on Harmonic ratio. Activate to inspect this relation.Octave is a Harmonic ratio. Activate to inspect this relation.Harmonic ratio is derived from Frequency. 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.Melody is part of Music theory. Activate to inspect this relation.Musical interval is derived from Harmonic ratio. Activate to inspect this relation.Musical interval is part of Musical scale. Activate to inspect this relation.Musical key depends on Musical scale. Activate to inspect this relation.Musical key enables Harmony. Activate to inspect this relation.Musical mode is a Musical scale. Activate to inspect this relation.Musical scale is part of Music theory. Activate to inspect this relation.Semitone is a Musical interval. Activate to inspect this relation.Semitone is part of Octave. Activate to inspect this relation.Tonality emerges from Musical key. Activate to inspect this relation.Transposition applies to Musical key. Activate to inspect this relation.Transposition is derived from Musical interval. Activate to inspect this relation.Triad is a Chord. Activate to inspect this relation.Musical intervalMusical scaleSemitoneHarmonic ratioTranspositionChordMusical modeMusical keyMusic theoryFolk musicOctaveRatioFrequencyTuning systemJust intonationDissonanceConsonanceHarmonyTriadChord progressionTonalityMelody
Relationship types

45 concepts viewed through this lens. Bridge concepts connect this view to Acoustics, Aesthetics, Algebra, Arithmetic….

Legend
  • Focused concept
  • Connected concept
  • Bridge concept (just outside the lens)
  • 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
22 concepts30 relationships10 disciplines5 relation families

Musical interval

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At a glance

The pitch distance between two notes, measured by the ratio of their frequencies.

Disciplines
Music Theory · Music · Mathematics
Role in the graph
Connector
Relationships
5 · 3 relation families

What am I looking at?

In this lens (45)

Bridge concepts (52)

Just outside the lens — they connect it to other context.

  • Harmonic series4
    Acoustics, Music Theory, Physics · connects to Consonance, Missing fundamental, Overtone…
  • Pattern4
    Biology, Cognitive Science, Design, Education, Educational Science, Machine Learning, Mathematics · connects to Motif, Musical form, Musical meter…
  • Auditory perception3
    Biology, Cognitive Science · connects to Emotion in music, Pitch, Sound wave
  • Musical Genre3
    Musicology, Poetics · connects to Music history, Musical form, Timbre
  • Oscillation3
    Biology, Mechanics, Physics · connects to Frequency, Pitch, Rhythm

Insights from this view

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

  • This view connects 10 disciplines: Arithmetic, Cognitive Science, Cultural Studies, Culture, Ethnomusicology, Mathematics, Music, Music Theory, Musicology, Physics.
  • Musical interval is a bridge concept — viewed here through Mathematics, Music, Music Theory.
  • The connections here span 5 relation families.

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.