Only bores keeping fixed mode ratios as holes open are musically useful
Evidence
Preserving a constant frequency ratio between the vibrational modes as the holes are opened is essential in all woodwinds and provides a limitation on the types of air column (often referred to as the bore) that are musically useful. — David Howard, Jamie Angus, coustics and Psychoacoustics, 1240
Categorization
- XREF: Relates to the more general tuning principle that an instrument’s playable range depends on harmonic alignment of its resonances. — connects to: Woodwind tone holes must preserve mode frequency ratios to stay in tune; Tone-hole opening must preserve modal frequency ratios for correct tuning — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1211; Tone-hole fingering requires modes to keep constant frequency ratios as holes open (+5 more)
Broader Connections
- Tone-hole fingering requires modes to keep constant frequency ratios as holes open
#corroborates(0.90) - Shifting resonance ratios as holes open would wreck woodwind tuning
#corroborates(0.90) — David Howard, Jamie Angus, coustics and Psychoacoustics, 1239 - Woodwind tone holes must preserve mode frequency ratios to stay in tune
#corroborates(0.85) - Tone-hole opening must preserve modal frequency ratios for correct tuning
#corroborates(0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1211 - Fixed inter-modal frequency ratios constrain musically useful bore shapes
#corroborates(0.80) - A local bore constriction can tune individual pipe modes separately
#expands(0.75) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1225 - Conical-bore instruments need only 12 chromatic holes because they overblow an octave
#expands(0.72) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1216 - Local bore changes tune instrument modes by their position relative to pressure nodes
#expands(0.70)