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definition-rules · pachet2001-harmonization-constraints

Revision d8b6d3ce-9abc-41d4-aab7-2297b74bce64 · 11/1/2026, 5:16:50 PM UTC
Claim ID
definition-rules
Assertion
Automatic harmonization is the problem of producing musical arrangements from given melodies, satisfying rules of harmony; most work has focused on tonal music and used constraint techniques. Treatises of harmony mostly state rules as prohibitions: in four-voice writing (soprano, alto, tenor, bass), each voice has a range, voices should not cross, some melodic intervals such as the tritone are forbidden, and parallel fifths and octaves between successive chords are prohibited. Respecting the rules does not guarantee musically interesting results; the rules are merely syntactic.
Quote
This problem, which consists in creating musical scores which satisfy given rules of harmony, has been the object of numerous studies, most of them using constraint techniques in one way or another. [...] automatic harmonization, i.e. the problem of producing musical arrangements (scores) from given melodies [...] In this survey we focus on tonal music [...]. They are mainly specifications of forbidden combinations of notes [...]. Finally, respecting the rules does not guaranty that the result will be musically meaningful or interesting. To make an analogy with language, harmonic rules can be considered as merely syntactic. [...] four-voice music [...] (the soprano (highest), alto, tenor and bass (lowest)). [...] each melody has a given range [...]. Additionally, a rule states that voices should never cross each another. [...] several intervals between notes are forbidden, such as the tritone interval [...]. This rule states that between two successive chords there should not be a parallel fifth. [...] Other similar rules apply to parallel octaves or unison intervals.
Quote language
en
Locator
section: Abstract, 1–1.2
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