# Partimento

A Partimento (from the Italian: partimento, plural partimenti) is a sketch (often a bass line), written out on a single staff, whose main purpose is to be a guide for the improvisation ("realization") of a composition at the keyboard. A Partimento differs from a basso continuo accompaniment in that it is a basis for a complete composition. Partimenti were central to the training of European musicians from the late 1600s until the early 1800s. They were developed in the Italian conservatories, especially at the music conservatories of Naples, and later at the Paris Conservatory, which emulated the Neapolitan conservatories.

## Concept

Giorgio Sanguinetti wrote that it was not easy to explain what was a partimento. It was not a basso continuo, for it did not accompany another part. It was not a figured bass, for Neapolitan partimenti were rarely figured. While a bass, it could as well be a soprano or other voice. Though written, its goal was improvisation. And, although it was an exercise in composition, it was also an art form in its own right.
   So, what is a partimento? A good definition is a metaphor: a partimento is a thread that contains in itself all, or most, of the information needed for a complete composition... The partimento ... is a linear entity that runs from the beginning to the end of a (potential) composition.

## History
### Beginnings

Partimenti evolved in the late 17th century in educational milieus in Bologna, Rome, and Naples, originally out of the tradition of organ and harpsichord improvisation. The earliest dated collection of partimenti with a known author is attributed to Bernardo Pasquini in the first decade of the 18th century.

### Golden age

The golden age of partimento was presided over by Alessandro Scarlatti and his pupils Francesco Durante and Leonardo Leo. Many important Italian composers emerged from the musical institutions in Naples, Bologna, and Milan, such as Giovanni Battista Pergolesi, Giuseppe Verdi, Domenico Cimarosa, Vincenzo Bellini, Gaetano Donizetti, Gaspare Spontini and Gioachino Rossini.

### Partimenti collections in Germany

The Langloz manuscript, a collection of preludes and fugues that possibly represent the pedagogical and compositional method of Johann Sebastian Bach, is regarded as a collection of German partimenti. Princess Anne's music lessons with Georg Frideric Handel included the use of partimenti exercises. Other collections of German partimenti include Johann Mattheson's forty-eight Probestücke from his Exemplarische Organisten-Probe and Gottfried Kirchhoff's collection of preludes and fugues.

### Influence on Paris Conservatory

The Paris Conservatory was greatly influenced by the music conservatories of Naples. Much of the Neapolitan syllabus was renamed "Harmony" at the Paris Conservatory, which included improvising "practical harmony" with partimenti played at a piano, and "harmony" as a written subject where additional voices were added to a given voice such as a bass or soprano. The resulting multi-voice counterpoint in Soprano, Alto, Tenor and Bass clefs were called a realization (réalisation). A student would begin by playing basic material as a 10- or 11 year-old but would eventually mature to write complicated four-voice counterpoint full of distant modulations and chromatic embellishments. François Bazin was a teacher of harmony at the Paris conservatory and many of his lessons were still titled "partimenti".

### Revival in the 21st century

The rediscovery of the partimento tradition in modern research since around 2000 has enabled new ways of looking at the musical education and composing practice in the 18th and 19th centuries, nurturing musical creativity beyond mere partimento realizations. Influential monographs concerning partimento include Robert O. Gjerdingen's Music in the Galant Style (2007) and Giorgio Sanguinetti's The Art of Partimento (2012). Partimenti gained increased recognition due to being part of Alma Deutscher's early musical training, with her studies with Tobias Cramm and Robert Gjerdingen.

## Partimento rules

Several Neapolitan teachers such as Fedele Fenaroli, Giovanni Furno and Giaocomo Insanguine published collections of regole (rules) and partimenti that were popular pedagogical materials across Europe. In particular, Fenaroli's Regole enjoyed a long publishing life, from the first edition 1775 to the final edition in 1930.
   To begin with, one will play all unfigured basses with simple consonant chords: from that performance the Master will clearly understand if his pupil has correctly understood the principles thereof. Secondly, one shall introduce all feasible dissonances for that given bass. Lastly, one shall shape the properly said imitation.
Partimenti were typically used as exercises to train conventional models of voice leading, harmony, and musical form, such as the so-called rule of the octave (the harmonized scale), cadences and sequences (the movimenti, or moti del basso). The beginners’ partimenti treatises usually present rules, which are then followed by exercises of increasing difficulty, presenting figured bass as well as unfigured bass lines, and culminating in the advanced exercises of imitative partimenti and partimento fugues.

## Consonances and dissonances

Music is composed of consonances and dissonances.

### Consonances

The four consonances were the 3rd, 5th, 6th and 8th. The 5th and 8th were perfect consonances because, at the time, it was believed that one couldn't make distinctions between them by expanding them with a sharp or diminishing them by altering a natural or an accidental. Of course, in reality you can: there are augmented and diminished fifths and octaves. The 3rd and 6th were considered imperfect consonances because one can make distinctions between them.
There's a prohibition against an octave or a fifth moving in parallel because, due to an octave or fifth's perfection, moving one creates no variation in harmony, and these [perfect intervals] are the fundamental basses that rule the key.

### Dissonances

The four dissonances are the 2nd, 4th, 7th and 9th. They were invented to make the consonances sound more beautiful. These cannot be used unless prepared by a preceding consonance and subsequently resolved to one of the aforementioned consonances.

## Essential foundations of the key

The essential foundations of the key or rule of the scale steps tell the student how to distribute chords over scale degrees, separate from the rule of the octave.
One can give an 8ve to all the degrees of the key, as well as to their consonances, provided that one does not create parallel 8ves, seeing that two 5ths or 8ves, whether above or below, by step or by skip, the one after the other, are prohibited because they make bad harmony.
① takes a 3rd, 5th.
② takes a minor 3rd, 4th and major 6th.
③ takes a 3rd and 6th. Both of them should be minor if the said ③ is major. If, on the other hand, the said ③ is minor, then it takes the major 3rd and major 6th, and this comes about naturally.
④ takes a 3rd and 5th. Whenever the ④ ascends to the ⑤, it [④] can take the 6th in addition to the 3rd and 5th. And if ④ descends from ⑤, then stay with the same consonances as for the said ⑤, which become in turn a 2nd, major [=augmented] 4th, and 6th.
⑤ takes a major 3rd and 5th. Give a minor seventh to a ⑤ that returns to the ①. This seventh cannot rise, but must resolve by falling to the third of the ①.
⑥ takes a 3rd, and 6th. When ⑥ is major and descends to ⑤, then it is better to use a major 6th in the accompaniment, because it makes better harmony. And one can add to ⑥, as if it were ②, by giving it a 3rd, a 4th, and a major 6th. But if the ⑥ neither ascends to ⑦ or descends to ①, then give it a 3rd and 5th.
⑦ takes a 3rd and 6th. Both of them should be minor if the said ⑦ is major. If, on the other hand, the ⑦ is minor, then the 3rd and the 6th in the accompaniment should both be major, and this comes about naturally. Give a diminished fifth to a ⑦ rising to the ①, in addition to the 3rd and 6th. This diminished fifth cannot rise, but must also resolve by falling to the third of the ①.

## Cadences

A cadence is when the bass goes from ① to ⑤, and [then] from ⑤ to ①. There are three types of cadences: Simple, Compound and Double.

### Simple cadence

A simple cadence is when one gives the bass the simple consonances required by both ① and ⑤. That is, the ① takes the 3rd and 5th, and the ⑤ takes the major 3rd and 5th.

### Compound cadence

A compound cadence is when, above ⑤, one makes a dissonance of a 4th prepared by the 8ve of ① and resolved to the major 3rd of ⑤.

### Double cadence

A double cadence is when, above ⑤, one puts the major 3rd and 5th, the 6th and 4th, the 5th and 4th, and then the major 3rd and 5th.

## Rule of the octave

After learning cadences, students at the Neapolitan conservatories were immediately taught the rule of the octave, or scale as they were termed in Naples.

### Major mode

Rule of the octave ascending in G major, in 1st position.
Rule of the octave descending in G major, in 1st position.

### Minor mode

Rule of the octave ascending in G minor, in 1st position.
Rule of the octave descending in G minor, in 1st position.

## Suspensions

According to partimento theory, it is only suspensions that are deemed to be dissonances.

## Bass motions

In addition to the rule of the octave, bass motions are fundamental to partimento theory. The ability to identify bass motions in a partimento allows the performer to choose appropriate chords. Bass motions move in a conjunct (stepwise, including chromatic) motion or disjunct motion (sequences).

### Falls with ties
## Diminution

The art of turning a basic, slow melody into a more florid, rapid one is called diminution.

## Imitation

   [Imitations] occur when the right hand imitates, that is answers to, the motive of the bass, that the left hand has played; or rather, when the right hand anticipates the motive that the left hand will play shortly after.
Imitation works to improve a basic accompaniment-like realization into a more proper composition. It is also an important preparatory training for partimento fugues.

## Partimento fugues

The culmination of partimento training is the realization of partimento fugues.

## Partimento and counterpoint

   For those who want to learn counterpoint, it is necessary first to thoroughly study the first and second books of partimenti, and then the moti del basso of the third book.
Partimenti were also used as bass lines in written counterpoint exercises, over which students wrote two-, three, and four-part “disposizione” (multistave settings).

## Notable collections of partimenti

Notable partimento collections were written by Alessandro Scarlatti, Francesco Durante, Leonardo Leo, Fedele Fenaroli, Giovanni Paisiello, Nicola Sala, Giacomo Tritto, Stanislao Mattei.