Whole tone and leading notes derive from intervals above the dominant in just intonation
Evidence
The frequency ratios of B and D are a major third (5:4) and a perfect fifth (3:2), respectively, above the dominant, G, and they are related to C as: 5 4 5 4 3 2 15 8 3 2 1 2 3 2 3 2 1 2 9 8 (The result for the D is brought down one octave to keep it within an octave of the C.) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1026
Categorization
- XREF: connects to: Just intonation major scales contain two distinct sizes of whole tone; Just diatonic scale derives non-tonic notes from the dominant chord; Musical intervals trace directly to harmonic-series frequency ratios — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 811
Broader Connections
- Just diatonic scale derives non-tonic notes from the dominant chord
#expands(0.90) - Just intonation major scales contain two distinct sizes of whole tone
#expands(0.85) - Musical intervals trace directly to harmonic-series frequency ratios
#corroborates(0.75) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 811