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Rule
Gradus GE-271 · cite this code — it is permanent. Rule id voice-doubling-by-chord-inversion
Root-position triad: double the root by default (third/fifth acceptable for smoothness); never double the leading tone or a chromatically altered tone. First-inversion triad: prefer doubling soprano's note or the bass (chordal third); never double the leading tone or chordal seventh. Second-inversion (6/4) triad: ALWAYS double the bass (chordal fifth) — firm, covering cadential/passing/pedal 6/4 alike. Diminished triad: double the THIRD, never root or fifth. Dominant/any seventh chord: never double the leading tone (third) or the seventh; if a voice must be omitted, omit the fifth before ever omitting the seventh or third.
A V7 chord voiced with the leading tone doubled between two voices — forbidden regardless of inversion.
Aldwell & Schachter — standard, near-universally taught doubling rules; outside Gould/Read/Ross/Stone's scope (harmonic content, not engraving), flagged as such.
This rule needs the notated content and the rendered result together — the score says what should happen, the page says whether it did.
Gradus GE-271 — Doubling rules by chord type and inversion. Gradus Engraving Rulebook v1.0. https://gradusmusic.com/engraving/rule/voice-doubling-by-chord-inversion
Rulebook v1.0 · text licensed CC-BY-4.0 · machine-readable at /api/v1/engraving/rules/voice-doubling-by-chord-inversion