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The frequencies of the notes in a scale—do, re, mi, fa…

“The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they’re rising in equal steps. But objectively their vibrational frequencies are rising by equal multiples. We perceive pitch logarithmically.” quote by Steven Strogatz
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“The frequencies of the notes in a scale—do, re, mi, fa, sol, la, ti, do—sound to us like they’re rising in equal steps. But objectively their vibrational frequencies are rising by equal multiples. We perceive pitch logarithmically.”

Steven Strogatz

About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Human perception of pitch follows a logarithmic scale, so equal musical intervals correspond to multiplicative frequency ratios rather than additive ones.

In simple terms: Pitch perception is logarithmic.

Key Takeaway

Music intervals are frequency multiples.

Themes

Perception Mathematics Music Theory Logarithms Acoustics

Mood

curious analytical

Type

explanatory scientific

When to use this quote

  • Explaining why octaves sound similar
  • Teaching music theory
  • Designing audio software
  • Analyzing tuning systems

Key Concepts

Logarithmic scaling Frequency ratios Human auditory system

Practical Applications

  • Educational content for music students
  • Audio signal processing algorithms

Questions to Reflect On

  • How does logarithmic perception affect musical composition?
  • Why do we find octaves consonant?
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