12.2 Late medieval theorists: Franco of Cologne, Johannes de Muris

3 min readaugust 8, 2024

Late medieval theorists revolutionized music notation and theory. 's '' introduced precise rhythmic representation, while expanded on these ideas, developing and exploring in music.

These theorists' contributions were crucial to the evolution of Western music. Their work on notation systems and rhythmic structures allowed for more complex compositions, paving the way for the style and influencing music theory for generations to come.

Influential Theorists

Franco of Cologne's Contributions

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  • Franco of Cologne emerged as a prominent music theorist in the late 13th century
  • Authored the influential treatise 'Ars cantus mensurabilis' around 1280
  • Developed a system of notation that allowed for precise rhythmic representation
  • Introduced the concept of perfect and imperfect time divisions in musical notation
  • Established rules for , which grouped multiple notes together visually
  • Influenced subsequent generations of music theorists and composers

Johannes de Muris and Theoretical Advancements

  • Johannes de Muris flourished as a French music theorist in the early 14th century
  • Wrote several important treatises, including 'Notitia artis musicae' and 'Musica speculativa'
  • Expanded on Franco's ideas and further developed mensural notation
  • Introduced the concept of , allowing for more complex rhythmic relationships
  • Explored mathematical relationships in music, connecting music theory to astronomy and mathematics
  • Contributed to the development of the Ars Nova style in French music

Notation and Rhythm

Mensural Notation System

  • Mensural notation evolved from earlier systems
  • Allowed for precise representation of rhythm and duration in musical scores
  • Utilized different note shapes to indicate specific time values (, , )
  • Incorporated and ligatures to represent silence and grouped notes
  • Enabled composers to create more complex
  • Formed the basis for modern Western musical notation

Rhythmic Structures and Modes

  • organized musical time into repeating patterns
  • Six primary rhythmic modes derived from poetic meters (trochaic, iambic, dactylic)
  • referred to the division of the breve into semibreves (perfect or imperfect)
  • indicated the subdivision of the semibreve into minims (major or minor)
  • combined repeating rhythmic patterns () with melodic patterns ()
  • Allowed for intricate structural organization in motets and other polyphonic works

Theoretical Concepts

Ars Nova and Musical Innovation

  • Ars Nova represented a new style of music that emerged in 14th-century France
  • Characterized by increased rhythmic complexity and notational precision
  • Emphasized secular forms like the motet and the ballade
  • Allowed for greater expressiveness and individuality in musical composition
  • Contrasted with the earlier style of the 13th century
  • Key composers included Guillaume de Machaut and Philippe de Vitry

Speculative Music Theory and Musica Ficta

  • explored the philosophical and cosmological aspects of music
  • Rooted in the Pythagorean tradition of viewing music as a reflection of universal order
  • Examined the mathematical relationships between musical intervals and harmonies
  • referred to the practice of altering pitches to avoid harmonic dissonances
  • Involved adding (sharps or flats) not explicitly notated in the musical score
  • Required performers to make decisions based on theoretical knowledge and context

Music in the Medieval Educational System

  • Music formed part of the , along with arithmetic, geometry, and astronomy
  • Considered one of the seven liberal arts essential for a well-rounded education
  • Emphasized the mathematical and theoretical aspects of music over performance
  • Studied in medieval universities as a scientific discipline
  • Connected musical concepts to broader philosophical and theological ideas
  • Laid the foundation for the continued development of Western music theory

Key Terms to Review (25)

Accidentals: Accidentals are musical symbols that alter the pitch of a note, indicating that it should be played higher or lower than the natural note. They serve to create chromaticism and enhance harmonic possibilities within music, allowing for greater expressiveness and complexity. Understanding accidentals is crucial in the late medieval context as they reflect the evolving theories of music notation and harmony during this period.
Ars antiqua: Ars antiqua refers to the style of music that flourished in the late 12th to the early 14th century, characterized by the development of early polyphony and the beginnings of rhythmic notation. This period marked a transition from monophonic chant to more complex forms of musical expression, reflecting significant changes in the cultural landscape of medieval Europe.
Ars cantus mensurabilis: Ars cantus mensurabilis refers to the system of measured or mensural music that emerged in the late medieval period, which allowed for the notation of rhythm in a precise manner. This development marked a significant shift from earlier modal rhythms and enabled composers to create complex polyphonic textures. It represents an important innovation that laid the groundwork for subsequent musical developments, particularly in terms of rhythmic organization and compositional techniques.
Ars nova: Ars nova refers to a musical style that emerged in the late medieval period, particularly in the 14th century, characterized by innovative rhythmic notation and the greater complexity of musical forms. It signifies a shift from the earlier medieval music practices to more sophisticated techniques and a new emphasis on secular themes alongside ecclesiastical traditions.
Brevis: Brevis is a musical term originating in the medieval period, referring to a note value that is typically held for twice the duration of a long, representing one of the foundational rhythmic notations. This term is significant in understanding the evolution of rhythmic notation, particularly as it relates to mensural music and the development of complex rhythmic structures within medieval music theory.
Color: In music, 'color' refers to the quality or character of a sound that distinguishes it from other sounds. This includes the tone quality, texture, and overall mood of a piece, allowing composers to evoke different emotions and atmospheres in their music. The concept of color is vital in understanding how different musical forms and styles convey meaning and emotion, especially in the context of historical developments.
Diminution: Diminution refers to the process of elaborating a musical line by breaking it into shorter, more intricate figures. This technique often involves the use of smaller note values, such as turning longer notes into sequences of quicker notes, enhancing expressiveness and complexity in the music. In the context of late medieval theorists, this concept played a key role in the development of notation and compositional techniques that would shape Western music.
Franco of Cologne: Franco of Cologne was a significant music theorist of the late medieval period, best known for developing the system of mensural notation that allowed for more precise rhythmic representation in music. His innovations in rhythmic notation laid the groundwork for the transition from earlier rhythmic practices to the more complex structures found in later polyphonic music. His work, particularly the 'Ars Cantus Mensurabilis,' was pivotal in establishing a standardized approach to musical rhythm and notation during a time of great change in musical practices.
Isorhythm: Isorhythm is a musical technique used primarily in the late medieval period that involves repeating a rhythmic pattern (called the 'talea') overlaid with a varying melodic line (known as the 'color'). This technique allowed composers to create complex and intricate musical forms, which became particularly significant in the development of polyphonic music and the motet.
Johannes de Muris: Johannes de Muris was a prominent late medieval theorist and composer known for his contributions to music theory and notation during the 14th century. He played a vital role in the development of mensural music, enhancing rhythmic notation, and his treatises provided foundational insights that influenced both contemporary and later musical practices.
Ligatures: Ligatures are musical symbols used in medieval notation to indicate the grouping of notes that should be sung together as a single unit, helping to convey specific rhythmic and melodic patterns. They were crucial in the development of musical notation, allowing composers to represent complex rhythms and modal systems, which played a significant role in the evolution of Western music theory.
Longa: A longa is a rhythmic note value used in medieval music notation that represents a duration longer than the brevis. This term is significant in the evolution of rhythmic notation, showcasing the transition towards more complex systems of mensural music where precise rhythmic values became increasingly important.
Mathematical Relationships: Mathematical relationships in music refer to the connections between numerical values and musical elements, such as pitch, rhythm, and harmony. These relationships help theorists and composers understand how different notes and rhythms interact, allowing for the creation of structured compositions. In the late medieval period, these mathematical principles became essential for developing music theory and notation, influencing how music was taught and composed.
Mensural notation: Mensural notation is a system of musical notation developed in the late medieval period that allowed for the precise representation of rhythm and pitch in polyphonic music. This notation system marked a significant evolution from earlier forms, enabling composers to notate complex rhythms and varied note durations, which was crucial for the development of sacred and secular music during this time.
Musica ficta: Musica ficta refers to the practice of altering pitches in music, particularly in medieval polyphony, to avoid dissonance or to create a smoother melodic line. This practice was not notated in the original scores but was understood and applied by performers based on the musical context, thereby influencing the interpretation of modal theory and the theoretical frameworks established during the medieval period.
Neumatic notation: Neumatic notation is a system of musical notation used in the early medieval period, characterized by the use of small symbols or neumes to indicate pitches and melodic contours without specifying exact note values. This form of notation allowed for the transcription of monophonic music, particularly Gregorian chant, and played a significant role in the development of musical writing during the medieval era.
Polyphonic compositions: Polyphonic compositions are musical works that feature multiple independent melodies or voices sung or played simultaneously, creating a rich and complex texture. This style of music emerged during the late medieval period and marked a significant development in the history of Western music, influencing theorists and composers alike. The ability to weave together various melodic lines helped to elevate music from simple monophonic forms to intricate structures that could convey deeper emotional and spiritual meanings.
Prolatio: Prolatio is a concept in medieval music theory that refers to the division of a whole note into shorter values, specifically in the context of rhythmic notation and mensural music. This term is connected to how rhythm was notated during the medieval period and highlights the evolution of rhythmic understanding, impacting various treatises and theoretical works that discuss musical notation systems. The significance of prolatio extends into innovations in rhythmic systems, showcasing the transition from simple to more complex rhythmic frameworks as theorists began to categorize and describe musical time more precisely.
Quadrivium: The quadrivium refers to the four subjects of study that formed the foundation of education in the medieval period: arithmetic, geometry, music, and astronomy. These disciplines were seen as essential for a well-rounded education, and each contributed to a deeper understanding of the universe and the principles governing it. In this context, music was not just an art form but also a science that interlinked with mathematical principles, showcasing the harmony between numbers and sound.
Rests: In music, rests are notations that indicate a period of silence in a piece. They play a crucial role in shaping the rhythm and structure of music, allowing for pauses that enhance the overall musical expression. Understanding rests is essential for interpreting musical compositions, especially in the late medieval context where theorists began to formalize their usage and their impact on musical notation.
Rhythmic modes: Rhythmic modes refer to a system of notating rhythmic patterns used in medieval music, particularly in the 12th and 13th centuries. This system categorized rhythms into specific modes that corresponded to syllabic and melodic structures, influencing the development of early polyphony and organum.
Semibrevis: The semibrevis is a musical note that represents a duration of two beats in medieval music notation, functioning as a key element in the rhythmic structure of compositions. This note played a significant role in the development of early musical notation systems and was foundational in the evolution of rhythmic practices in medieval music.
Speculative music theory: Speculative music theory is a branch of music theory that focuses on the abstract and philosophical aspects of music, rather than its practical application. It seeks to understand the underlying principles of musical organization and structure, often using mathematical concepts to explore the relationships between different musical elements. This theoretical approach was significant during the late medieval period, as it influenced theorists who were looking to define the rules of music more systematically.
Talea: In medieval music, a talea refers to a repeating rhythmic pattern used in the composition of motets and other polyphonic forms. This concept plays a crucial role in establishing the structure and rhythmic organization within these works, often providing a foundation over which melodic lines can be layered, leading to intricate musical textures.
Tempus: Tempus is a term that refers to the concept of time in music, particularly in relation to the organization of rhythm and the measurement of musical duration. It serves as a foundational element in rhythmic notation and mensural music, determining how beats and measures are structured. Understanding tempus is crucial for interpreting rhythmic innovations, especially within modal rhythm systems, and is essential when analyzing the contributions of late medieval theorists who advanced rhythmic theory.
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