The harmonic overtone series of strings is a lucky gift, not a fixable property

Evidence

Complex tones containing frequencies that are related to each other by integer multiples are called harmonic sounds or harmonic tones. The lowest frequency of a complex tone is the fundamental frequency (f0), and the harmonics occur at integer multiples of the fundamental frequency. There are numerous examples of harmonic sounds in our daily lives, such as vowels and sounds typically generated by stringed, woodwind, and brass musical instruments. — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 1180 (#exemplifies, via linked claim)

Categorization

• XREF: connects to: The inharmonicity of real strings is a desirable feature, not a defect; Harmonic tones are integer multiples of a fundamental frequency — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 1180; Slightly inharmonic spectra are musically preferred over strictly harmonic ones (+1 more)

Related

• Harmonic tones are integer multiples of a fundamental frequency (similarity 0.89)
• Harmonics are integer-related partials while partials need not be harmonic (similarity 0.88)
• Accurate square waves require infinitely many harmonics (similarity 0.86)
• Harmonic complex tones dominate daily life through speech and music (similarity 0.84)
• Plucking a string at a node suppresses every Nth harmonic (similarity 0.83)
• Spectrum components are partials and only integer-related ones are harmonics (similarity 0.83)
• The inharmonicity of real strings is a desirable feature, not a defect (similarity 0.83)
• String instruments naturally produce inharmonic partial spectra. (similarity 0.83)
• The term overtone numbers components above the fundamental, offset by one from harmonics (similarity 0.82)
• String instrument inharmonicity may be not merely unavoidable but perceptually desirable (similarity 0.82)
• Individual harmonics relate to each other as musical intervals, not just numeric frequency ratios. (similarity 0.82)
• A waveform’s sharpness dictates how many high-frequency sine waves it contains (similarity 0.82)
• Accentuating individual harmonics makes them perceptually break away as separate notes (similarity 0.81)
• Harmonic spectra never occur exactly in real objects (similarity 0.81)
• Overtone numbering is offset one step behind harmonic numbering (similarity 0.81)

Broader Connections

• Harmonic tones are integer multiples of a fundamental frequency #exemplifies (0.85) — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 1180
• Slightly inharmonic spectra are musically preferred over strictly harmonic ones #contradicts (0.85)
• Plucking a string at a node suppresses every Nth harmonic #exemplifies (0.80)