Petrus de Cruce
Encyclopedia
Petrus de Cruce was active as a cleric, composer
Composer
A composer is a person who creates music, either by musical notation or oral tradition, for interpretation and performance, or through direct manipulation of sonic material through electronic media...

 and theorist
Music theory
Music theory is the study of how music works. It examines the language and notation of music. It seeks to identify patterns and structures in composers' techniques across or within genres, styles, or historical periods...

 in the late part of the 13th century. His main contribution was to the notational system.

Life

13th-century composer, theorist, and scholar, Petrus de Cruce was apparently born in or near Amiens
Amiens
Amiens is a city and commune in northern France, north of Paris and south-west of Lille. It is the capital of the Somme department in Picardy...

, in north-central France
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

; for dates we know only that he was active in the years around 1290. He held the title of magistar, indicating that he probably studied at the University of Paris
University of Paris
The University of Paris was a university located in Paris, France and one of the earliest to be established in Europe. It was founded in the mid 12th century, and officially recognized as a university probably between 1160 and 1250...

. Given the overlap of their lives and supposed tenures at Paris, Petrus may have been Franco of Cologne
Franco of Cologne
Franco of Cologne was a German music theorist and possibly composer. He was one of the most influential theorists of the late Medieval era, and was the first to propose an idea which was to transform musical notation permanently: that the duration of any note should be determined by its...

's student. It is recorded that in 1298 he composed a monophonic
Monophony
In music, monophony is the simplest of textures, consisting of melody without accompanying harmony. This may be realized as just one note at a time, or with the same note duplicated at the octave . If the entire melody is sung by two voices or a choir with an interval between the notes or in...

 office for the royal palace chapel at Paris, and that in 1301-2, he resided at the court of the Bishop of Amiens, undoubtedly as a member of his clerical staff, and most likely his chapel staff as well. Petrus died before 1347, since in that year is the first reference in the inventory of Amiens Cathedral
Cathedral
A cathedral is a Christian church that contains the seat of a bishop...

 to its possession of a polyphonic manuscript which he had apparently left them in his will. Contemporary and slightly later commentators spoke well of Petrus de Cruce; no less than the theorist Jacobus de Liėge called him, "that worthy practical musician, who composed so many beautiful and good pieces of mensural polyphony and followed Franco’s precepts."

Theoretical contributions

Mensural notation
Mensural notation
Mensural notation is the musical notation system which was used in European music from the later part of the 13th century until about 1600."Mensural" refers to the ability of this system to notate complex rhythms with great exactness and flexibility...

 had developed by fits and starts during the 13th century as the old ligatures/rhythmic modes became, for various reasons, less suited to the indication of polyphony
Polyphony
In music, polyphony is a texture consisting of two or more independent melodic voices, as opposed to music with just one voice or music with one dominant melodic voice accompanied by chords ....

’s new subtleties, as we shall see below. Not the least problem was that notation in individual part-books was cheaper than notation in score (since each piece took up much less overall space), so a way had to be found of doing it—this would involve the development of a reliable system by which to indicate note-by-note metrical value. The beginning of such a solution was Franconian notation, so called after the theorist Franco of Cologne
Franco of Cologne
Franco of Cologne was a German music theorist and possibly composer. He was one of the most influential theorists of the late Medieval era, and was the first to propose an idea which was to transform musical notation permanently: that the duration of any note should be determined by its...

, who outlined the system in his c. 1260 treatise, Ars cantus mensurabilis (The art of mensurable music). We are familiar with this system (or if we're not, we can see mensural notation
Mensural notation
Mensural notation is the musical notation system which was used in European music from the later part of the 13th century until about 1600."Mensural" refers to the ability of this system to notate complex rhythms with great exactness and flexibility...

), which at this point recognized the double-long, long, breve, and semi-breve as the units of note value, related to one another by triple grouping; the double was always worth two longs, but a long could be perfect (and therefore worth three breves) or imperfect (and worth only two), depending on the exact sequence of notes. The breve was the "tempus", equivalent to the ‘unit of the beat’ in modern notation (three quarters to a measure in ¾ time, etc.), or a modern measure if we consider all of the music to have been in 3/1, so perfect tempus was triple meter, and imperfect tempus would be duple once introduced. A breve could theoretically be worth either three semi-breves or two in Franconian notation, but if worth two, one or the other would be doubled in length. There was no provision in this notation for equal duple division, which (along with imperfect tempus, therefore) would have to wait until de Vitry
Philippe de Vitry
Philippe de Vitry was a French composer, music theorist and poet. He was an accomplished, innovative, and influential composer, and may also have been the author of the Ars Nova treatise...

 codified the concept of prolation in his Ars nova of 1322.

By the 1280s, tripla (the top parts of motets and other polyphonic pieces) were moving more rapidly and independently than before, with the chant
Gregorian chant
Gregorian chant is the central tradition of Western plainchant, a form of monophonic liturgical music within Western Christianity that accompanied the celebration of Mass and other ritual services...

-based tenor
Tenor
The tenor is a type of male singing voice and is the highest male voice within the modal register. The typical tenor voice lies between C3, the C one octave below middle C, to the A above middle C in choral music, and up to high C in solo work. The low extreme for tenors is roughly B2...

s becoming slower moving, supporting parts. Since composers wanted to maintain speech rhythms in their tripla, they looked for a way to divide the tempus into more than three semi-breves, which in modern notation would be the equivalent of a tuplet (triplet, quartolet, quintuplet, etc.); motets which do this bear the name “Petronian”, after the most prominent user of the style. One way of indicating this division was to line up the voices one atop another in score notation, so that the tempus could be seen by examining the lower parts, still wedded to rhythmic mode. This would have been a waste of precious resources, however, and was no more an option now than it had been before. Petrus, who often divided his breves into as many as seven semi-breves, developed the dot of division (punctum divisionis), which are dots placed in between semi-breves to group them; thus a series of five semi-breves separated by dots from those surrounding them would be understood by the reader as occurring in the space of one breve. In later, 15th and 16th century notation, confusion between dots of division and the later innovation of dots indicating extended note values creates transcription problems for editors, but it is usually possible to tell from context, as well as prevailing tempus and prolation, which is meant; indeed, the dot of division is rarely required, since a run of semi-breves coming between two ligatures is clearly a grouping.

Petrus’s free usage of the divided breve had far-reaching implications for musical style. With more notes, the triplum became the most prominent of the three voices in contemporary texture, and the other two were relegated to a supporting role. Also, more notes and more intricate subdivision led to a slowing of general tempo—the semi-breve was performed more slowly than it had been in earlier practice, becoming the true unit of the beat, and the lower voices lost their rhythmic vitality, becoming mere structural successions of breves and longs.

The Petronian Motet

Composed around 1300, these motets are still considered part of the Ars Antiqua
Ars antiqua
Ars antiqua, also called ars veterum or ars vetus, refers to the music of Europe of the late Middle Ages between approximately 1170 and 1310, covering the period of the Notre Dame school of polyphony and the subsequent years which saw the early development of the motet...

. Characteristics include further division of the triplum, the motetus and triplum move toward light and elegant expression, and a lack of concern for principles of proper textual accentuation.
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