Harmonic is the human-made concept designating a tone whose frequency is an exact integer multiple of a fundamental frequency (n×f₀, n∈ℕ⁺). The concept carves a discrete set of frequency relationships that define timbre in acoustics, govern instrument resonance, structure tuning systems, and enable spectral decomposition in signal processing. It persists through mathematical notation (the harmonic series), musical notation, acoustic measurement, and teaching across physics and music theory. [formal: harmonicus | substrate: mind | horizon: generations | explicit: yes | epoch: 0.01]
Accepted ontology entry
harmonic
Harmonic is the human-made concept designating a tone whose frequency is an exact integer multiple of a fundamental frequency (n×f₀, n∈ℕ⁺). The concept carves a discrete set of frequency relationships that define timbre in acoustics, gover…
Definition
Why it is in scope
Human-made concept in acoustics and music theory for integer multiples of a fundamental frequency. A harmonic is a tone whose frequency equals n×f₀ where n is a positive integer and f₀ is the fundamental. Used in instrument design, tuning systems, spectral analysis, and voice classification — persists through notation, teaching, and mathematical formalism across musical and physical disciplines.
Names and aliases
- harmonicen · CANONICAL
Relations from this entry
- cmsonzqyp02b2jlss505mrhmiINSTANCE_OF →
Harmonic is a specific kind of overtone: an overtone whose frequency is exactly an integer multiple of the fundamental. A competent speaker would describe a harmonic as a kind of overtone. Per Law 9: specific→general. Not all overtones are harmonics (inharmonic overtones exist), but every harmonic is an overtone.
- cmrclyl0g00mq94753p1ij4yvSERVES →
Harmonic (the overtone concept) is built for musical analysis — it explains how sounds combine in music, guides instrument design, and underpins musical notation. Its designed purpose is to further music's operation and understanding.
- cmsorsyn802qbjlss3cb2ruiyDEPENDS_ON →
The concept of harmonic requires frequency as its operative dimension — harmonics are integer multiples of a fundamental frequency. Remove frequency (the concept of periodic rate) and the concept of harmonic cannot operate: there is no domain in which to locate or compute a harmonic.
Relations to this entry
No accepted relations in this direction.
Record identity
- Created
- Aug 12, 2026, 10:31 AM UTC
- Content hash
- f6aaaa7cf9ec4c5c87ffb3bac33d99fa803e0f205180d57235a800aa38703b88