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Renaissance music is traditionally understood to cover European music of the 15th and 16th centuries, later than the Renaissance era as it is understood in other disciplines. Rather than starting from the early 14th-century ars nova, the Trecento music was treated by musicology as a coda to Medieval music and the new era dated from the rise of ...
Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.
The Arabs would eventually replace spelled out numbers (e.g. twenty-two) with Arabic numerals (e.g. 22), but the Arabs did not adopt or develop a syncopated or symbolic algebra [55] until the work of Ibn al-Banna, who developed a symbolic algebra in the 13th century, followed by Abū al-Hasan ibn Alī al-Qalasādī in the 15th century.
The high-water mark of Chinese mathematics occurred in the 13th century during the latter half of the Song dynasty (960–1279), with the development of Chinese algebra. The most important text from that period is the Precious Mirror of the Four Elements by Zhu Shijie (1249–1314), dealing with the solution of simultaneous higher order ...
The history of mathematical notation[ 1 ] includes the commencement, progress, and cultural diffusion of mathematical symbols and the conflict of the methods of notation confronted in a notation's move to popularity or inconspicuousness. Mathematical notation [ 2 ] comprises the symbols used to write mathematical equations and formulas.
The Squarcialupi Codex (Florence, Biblioteca Medicea Laurenziana, Med. Pal. 87) is an illuminated manuscript compiled in Florence in the early 15th century. It is the single largest primary source of music of the 14th-century Italian Trecento (also known as the "Italian ars nova"). It consists of 216 parchment folios, organized by composer ...
The Codex Faenza (Faenza, Biblioteca Comunale 117) abbreviated as " (I-FZc 117)", and sometimes known as Codex Bonadies, is a 15th-century musical manuscript containing some of the oldest preserved keyboard music along with additional vocal pieces. The Codex Faenza fully appeared in modern notation on Keyboard Music of the Late Middle Ages in ...
The Trinity Carol Roll is a 15th-century manuscript of thirteen English carols held by the Wren Library at Trinity College, Cambridge (MS O.3.58). It is the earliest surviving example of polyphonic music written in English. [1] Compiled after 1415, it contains the earliest of two manuscript sources for the Agincourt Carol which tells of Henry V ...