Partimento Bass Lines: The Rule of the Octave Explained

Francesco Durante (1698-1755) was a prominent Neapolitan composer who created extensive partimento collections used for teaching young students. His partimenti begin with simple bass lines that students realize into complete compositions. One example demonstrates a V-I cadence progression where students add melodic lines above the bass, creating music reminiscent of Vivaldi concertos using only the fundamental 3-6 progression pattern.

The Neapolitan partimento tradition, a nearly extinct keyboard counterpoint pedagogy from 18th-century Naples, was dominated by two contrasting schools: Leonardo Leo's church-focused approach emphasizing fugue construction through themes and counter subjects with many ties and suspensions, and Francesco Durante's opera-focused approach emphasizing melodic flexibility, modulation, and element-based training through figures like fourths, sevenths, and ninths. Students could identify a partimento's lineage by visual characteristics—Leo's pieces often appear in pairs with dominant endings and contain many ties, while Durante's pieces feature text explaining rules and focus on specific pedagogical elements. The revival of this tradition requires extensive manuscript research, as thousands of copies with misattributions exist, and understanding these pedagogical differences is essential for proper realization and interpretation of historical keyboard counterpoint.

Italian partimenti are keyboard teaching exercises from the Neapolitan school that use simplified musical notation to teach harmonic principles and improvisation, as demonstrated in this performance of works by Francesco Durante and Giovanni Alberto Ristori.

Nicola Sala is unique among counterpoint masters for having three autographs of his partimenti surviving. This wealth of original materials has enabled modern editions containing approximately 190 pieces across three volumes, with critical apparatus explaining editorial decisions. These manuscripts provide invaluable insight into Neapolitan conservatory pedagogy and the practical training methods used to develop compositional fluency.

This video presents one possible realization of partimento 13 in D major, cataloged as Gj 1343, from Book 4 of the partimento collection by maestro Fedele Fenaroli (1730–1818). Partimenti are bass lines or harmonic frameworks used in 18th-century Italian music pedagogy to train students in improvisation, counterpoint, and harmonic progression. Fenaroli’s partimenti were foundational in the training of composers and performers at Neapolitan conservatories. The realization demonstrated in the video interprets the given bass line with appropriate voice leading, harmonic filling, and stylistic ornamentation consistent with the practices of the time. The video does not provide step-by-step instruction but assumes familiarity with partimento rules and schemata. Viewers are directed to the author’s blog, essaysonmusic.com, for further study of partimenti, regole (rules), and harmonic schemata, suggesting the content is intended for those already engaged with historical performance practice or music theory research. The realization serves as an example of how a concise bass line can be expanded into a full keyboard composition using period-appropriate techniques.

Advanced bass playing involves combining left-hand ornaments (slides, glissandos) with right-hand techniques (bassline patterns) to create expressive music. Left-hand ornaments add musical expression similar to how handwriting style affects written communication. The instructor demonstrates how adding ornaments transforms simple melodies into more expressive versions, emphasizing that effective bass playing requires coordination between both hands to produce musical expression.

Diminished chords have advanced applications beyond basic passing chords: (1) When the melody passes through notes contained within a diminished chord, the chord can be applied for sophisticated harmonization; (2) As alternative harmonic paths, substituting simple seventh chord progressions with diminished progressions (e.g., using G minor followed by B diminished instead of C major seventh to F major); (3) To create chromatic bass approaches where the bass moves by half step before resolving. These techniques enrich harmonic texture and add professional sophistication to musical arrangements.

To add adornos to bass lines, play two bass notes downward, then add decorative notes. The instructor demonstrates this technique, showing how to embellish the basic bass pattern with additional notes while maintaining the underlying rhythm.

Renaissance keyboard music employed sophisticated ornamentation techniques including five categories of diminutions: minuta (stepwise eighth/sixteenth notes), gruppi, tremoli, clamationi, and accenti. Diruta established that diminutions work well when parts move together but are inappropriate for imitation sections unless applied identically to all voices. In quick pieces with stretto imitations, even minimal diminutions should be avoided. Vincenzo Galilei emphasized that intabulation requires judgment and taste, including decisions about dividing long notes, omitting unnecessary repetitions, and choosing which notes to play when voices conflict. The goal was enhancing rather than obscuring the original composition, using ornaments only when appropriate to preserve musical integrity.

This section covers two advanced techniques for bass line embellishment. First, chromaticism involves using single notes before landing on the next chord, such as G# when moving from C to A minor. Ascending chromaticism works naturally in pop and rock, while descending chromaticism is more common in jazz. Second, grouping chromatic notes in patterns of three creates distinctive musical phrases. These techniques allow you to create interesting sounds without knowing their theoretical names, focusing instead on what sounds pleasing to your ears.

This segment explains the concept of improvisation in partimento and the multiple solutions possible for each bass line. The host explains that partimenti are notated with empty staves on top because there is not one solution but five, six, or seven possible realizations. The whole idea of partimento is to learn to play and make realizations in many different directions while following what the piece is trying to teach. Students must find correct realizations that are 'nice' and follow the pedagogical intent. The host demonstrates this by playing a partimento and showing different starting positions, explaining that the choice of starting position affects whether lines are descending or ascending and which voice has the best melodic qualities. The host emphasizes that using rests in the realization is excellent for creating individuality of voices in the Leo tradition.

Partimento realization requires understanding voice flipping, as using the same position more than twice in a row is problematic. With three voices, there are only two possible positions for a six chord, and the root always prepares the suspension. A more complex pattern combines a rule of the octave segment with a dissonant cadence involving a ninth and 65 chord on the precedential four. These chords result from contrapuntal events where voices are delayed by a quarter note, creating 23 or 76 chains. Dissonant chords are products of specific voice-leading artifacts, not random harmonic lumps. The major minor combo combines a major key with its relative minor, while the font sequence tonicizes the second degree followed by the same pattern one step lower.

Fugue improvisation is learnable through systematic practice. George Frederick Handel, despite sharing origins with Bach, pursued a cosmopolitan career and taught composition to George II's daughter, likely creating the Partimento exercises. These figure-based exercises, including dedicated fugue pages, demonstrate double counterpoint pedagogically. The relationship between partimento and improvisation is often conflated, but no one learns to improvise merely by harmonizing basslines. A good partimento fugue stands or falls with its subject, which is defined by a specific rhythm marking entries, followed by a sequential tail implying invertible counterpoint. The primary counterpoint provides opening via dominant and cadence with continuation in thirds and sixths, and can occur below the subject for transpositional exercises.

Composing fugue subjects for multiple strettos requires three-voice canons with proposta and two rispostas, where one risposta is imaginary. Notes are chosen satisfying double counterpoint constraints—working above one note and below another. Interval tables for invertible counterpoint show how intervals invert. Bach's B major fugue demonstrates these principles: the countersubject works in invertible counterpoint at the 12th (Jv = -11), and Bach employs double shifting counterpoint with Jv = 2 and Jh = -1. By constructing basic versions where the fugue subject is counterpoint and the countersubject forms a canon with an imaginary risposta, we analyze how parallel unisons between canon voices produce consistent intervals against the lower voice. This reveals how masters like Bach embedded sophisticated counterpoint within seemingly complex textures.

This section explores the technical and theoretical foundations of historical improvisation. When realizing basso continuo, performers add parts above a given bass that should agree with other written parts and support the composition, with limited fantasy to avoid overshadowing the written music. Agostino Agazzari's 1607 treatise described how different instruments have different functions when playing basso continuo, warning against excessive creativity that could create 'a mess and confusion.' When playing new parts upon a bass creates new compositions, the bass line is called partimento, which became a standard teaching method for harmony, counterpoint, and improvisation until the 19th century. Adriano Banchieri's 1605 treatise supplied bass lines with special signs as guides for beginner organists. The section then covers the practice of 'Cantare super librum,' where additional voices were improvised upon a chant melody sung as cantus firmus, documented across Europe from the 15th to 17th centuries. The fantasia and ricercar genres, popular from the beginning of the 16th century, typically included fugal writing and sophisticated counterpoint. Santa Maria's 'Arte de Tañer Fantasia' treats 'playing' as including both composing and improvising. These genres were particularly valuable because they allowed exploration of contrapuntal technique without the strict requirements of setting text.