Music Experiment And Mathematics In England 1653 1705
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Music Experiment And Mathematics In England 1653 1705
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Author : Benjamin Wardhaugh
language : en
Publisher: Routledge
Release Date : 2017-07-05
Music Experiment And Mathematics In England 1653 1705 written by Benjamin Wardhaugh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Music categories.
How, in 1705, was Thomas Salmon, a parson from Bedfordshire, able to persuade the Royal Society that a musical performance could constitute a scientific experiment? Or that the judgement of a musical audience could provide evidence for a mathematically precise theory of musical tuning? This book presents answers to these questions. It constitutes a general history of quantitative music theory in the late seventeenth century as well as a detailed study of one part of that history: namely the applications of mathematical and mechanical methods of understanding to music that were produced in England between 1653 and 1705, beginning with the responses to Descartes's 1650 Compendium musicand ending with the Philosophical Transactions' account of the appearance of Thomas Salmon at the Royal Society in 1705. The book is organized around four key questions. Do musical pitches form a small set or a continuous spectrum? Is there a single faculty of hearing which can account for musical sensation, or is more than one faculty at work? What is the role of harmony in the mechanical world, and where can its effects be found? And what is the relationship between musical theory and musical practice? These are questions which are raised and discussed in the sources themselves, and they have wide significance for early modern theories of knowledge and sensation more generally, as well as providing a fascinating side light onto the world of the scientific revolution.
Music Experiment And Mathematics In England 1653 705
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Author : Benjamin Wardhaugh
language : en
Publisher: Routledge
Release Date : 2017-07-05
Music Experiment And Mathematics In England 1653 705 written by Benjamin Wardhaugh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Music categories.
How, in 1705, was Thomas Salmon, a parson from Bedfordshire, able to persuade the Royal Society that a musical performance could constitute a scientific experiment? Or that the judgement of a musical audience could provide evidence for a mathematically precise theory of musical tuning? This book presents answers to these questions. It constitutes a general history of quantitative music theory in the late seventeenth century as well as a detailed study of one part of that history: namely the applications of mathematical and mechanical methods of understanding to music that were produced in England between 1653 and 1705, beginning with the responses to Descartes's 1650 Compendium music?and ending with the Philosophical Transactions' account of the appearance of Thomas Salmon at the Royal Society in 1705. The book is organized around four key questions. Do musical pitches form a small set or a continuous spectrum? Is there a single faculty of hearing which can account for musical sensation, or is more than one faculty at work? What is the role of harmony in the mechanical world, and where can its effects be found? And what is the relationship between musical theory and musical practice? These are questions which are raised and discussed in the sources themselves, and they have wide significance for early modern theories of knowledge and sensation more generally, as well as providing a fascinating side light onto the world of the scientific revolution.
The Oxford Handbook Of The History Of Mathematics
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Author : Eleanor Robson
language : en
Publisher: OUP Oxford
Release Date : 2008-12-18
The Oxford Handbook Of The History Of Mathematics written by Eleanor Robson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Mathematics categories.
This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.
The Advancement Of Music In Enlightenment England
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Author : Tim Eggington
language : en
Publisher: Boydell & Brewer Ltd
Release Date : 2014
The Advancement Of Music In Enlightenment England written by Tim Eggington and has been published by Boydell & Brewer Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Music categories.
Casts new and valuable light on English musical history and on Enlightenment culture more generally.
Eros And Music In Early Modern Culture And Literature
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Author : Claire Bardelmann
language : en
Publisher: Routledge
Release Date : 2018-05-15
Eros And Music In Early Modern Culture And Literature written by Claire Bardelmann and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-15 with Literary Criticism categories.
What is the relationship between Eros and music? How does the intersection of love and music contribute to define the perimeter of Early Modern love? The Early Moderns hold parallel discourses on the metaphysical doctrines of love and music as theories of harmony. Statements of love as music, of music as love, and of both as harmonic ideals, are found across a wide range of cultural contexts, highlighting the understanding of love as a cultural construct. The book assesses the complexity of cultural discourses on this linkage of Eros and music. The ambivalence of music as an erotic agent is enacted in the controversy over dancing and reflected in the ubiquitous symbolism of music instruments. Likewise, the trivialization of musical imagery in madrigal lyrics and love poetry highlights a sense of degradation and places the love-music relationship at the meeting point of two epistemes. The book also shows the symbolic deployment of the intertwined ideas of love and music in the English epyllion, and offers close readings of Shakespeare’s poems The Rape of Lucrece and Venus and Adonis. The book is the first to propose an overview of the theoretical, cultural and poetical intersections of Eros and music in Early Modern England. It discusses the connections in a richly interdisciplinary manner, drawing on a wealth of primary material which includes rhetoric, natural philosophy, educational literature, medicine, music theory and musical performance, dance books, performance politics, Protestant pamphlets and sermons, and emblem books.
Thomas Salmon Writings On Music
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Author : Benjamin Wardhaugh
language : en
Publisher: Routledge
Release Date : 2017-07-05
Thomas Salmon Writings On Music written by Benjamin Wardhaugh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Music categories.
This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier (these writings are the subject of Volume I). Later in his life Salmon devoted his attention to an exploration of the possible reform of musical pitch. He made or renewed contact with instrument-makers and performers in London, with the mathematician John Wallis, with Isaac Newton and with the Royal Society of London through its Secretary Hans Sloane. A series of manuscript treatises and a published Proposal to Perform Musick, in Perfect and Mathematical Proportions (1688) paved the way for an appearance by Salmon at the Royal Society in 1705, when he provided a demonstration performance by professional musicians using instruments specially modified to his designs. This created an explicit overlap between the spaces of musical performance and of experimental performance, as well as raising questions about the meaning and the source of musical knowledge similar to those raised in his work on notation. Benjamin Wardhaugh presents the first published scholarly edition of Salmon's writings on pitch, previously only available mostly in manuscript.
Music Nature And Divine Knowledge In England 1650 1750
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Author : Tom Dixon
language : en
Publisher: Boydell & Brewer
Release Date : 2023-05-16
Music Nature And Divine Knowledge In England 1650 1750 written by Tom Dixon and has been published by Boydell & Brewer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-16 with categories.
During a period of tumultuous change in English political, religious and cultural life, music signified the unspeakable presence of the divine in the world for many. What was the role of music in the early modern subject's sensory experience of divinity? While the English intellectuals Peter Sterry (1613-72), Richard Roach (1662-1730), William Stukeley (1687-1765) and David Hartley (1705-57), have not been remembered for their 'musicking', this book explores how the musical reflections of these individuals expressed alternative and often uncustomary conceptions of God, the world, and the human psyche. Music is always potentially present in their discourse, emerging as a crucial form of mediation between states: exoteric and esoteric, material and spiritual, outer and inner, public and private, rational and mystical. Dixon shows how Sterry, Roach, Stukeley and Hartley's shared belief in truly universal salvation was articulated through a language of music, implying a feminising influence that set these male individuals apart from contemporaries who often strictly emphasised the rational-i.e. the supposedly masculine-aspects of religion. Musical discourse, instead, provided a link to a spiritual plane that brought these intellectuals closer to 'ultimate reality'. Theirs was a discourse firmly rooted in the real existence of contemporary musical practices, both in terms of the forms and styles implied in the writings under discussion and the physical circumstances in which these musical genres were created and performed. Through exploring ways in which the idea of music was employed in written transmission of elite ideas, this book challenges conventional classifications of a seventeenth-century 'Scientific Revolution' and an eighteenth-century 'Enlightenment', defending an alternative narrative of continuity and change across a number of scholarly disciplines, from seventeenth-century English intellectual history and theology, to musicology and the social history of music.
John Birchensha Writings On Music
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Author : Benjamin Wardhaugh
language : en
Publisher: Routledge
Release Date : 2017-07-05
John Birchensha Writings On Music written by Benjamin Wardhaugh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Music categories.
John Birchensha (c.1605-?1681) is chiefly remembered for the impression that his theories about music made on the mathematicians, natural philosophers and virtuosi of the Royal Society in the 1660s and 1670s, and for inventing a system that he claimed would enable even those without practical experience of music to learn to compose in a short time by means of 'a few easy, certain, and perfect Rules'-his most famous composition pupil being Samuel Pepys in 1662. His great aim was to publish a treatise on music in its philosophical, mathematical and practical aspects (which would have included a definitive summary of his rules of composition), entitled Syntagma music Subscriptions for this book were invited in 1672-3, and it was due to be published by March 1675; but it never appeared, and no final manuscript of it survives. Consequently knowledge about his work has hitherto remained extremely sketchy. Recent research, however, has brought to light a number of manuscripts which allow us at last to form a more complete view of Birchensha's ideas. Almost none of this material has been previously published. The new items include an autograph treatise of c.1664 ('A Compendious Discourse of the Principles of the Practicall & Mathematicall Partes of Musick') which Birchensha presented to the natural philosopher Robert Boyle, and which covers concisely much of the ground that he intended to cover in Syntagma musica detailed synopsis for Syntagma musichich he prepared for a meeting of the Royal Society in February 1676; and an autograph notebook (now in Brussels) containing his six rules of composition with music examples, presumably written for a pupil. Bringing all this material together in a single volume will allow scholars to see how Birchensha's rules and theories developed over a period of fifteen years, and to gain at least a flavour of the lost Syntagma music
Mathematics And The Craft Of Thought In The Anglo Dutch Renaissance
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Author : Eleanor Chan
language : en
Publisher: Routledge
Release Date : 2021-09-30
Mathematics And The Craft Of Thought In The Anglo Dutch Renaissance written by Eleanor Chan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with History categories.
The development of a coherent, cohesive visual system of mathematics brought about a seminal shift in approaches towards abstract thinking in western Europe. Vernacular translations of Euclid’s Elements made these new and developing approaches available to a far broader readership than had previously been possible. Scholarship has explored the way that the language of mathematics leaked into the literary cultures of England and the Low Countries, but until now the role of visual metaphors of making and shaping in the establishment of mathematics as a practical tool has gone unexplored. Mathematics and the Craft of Thought sheds light on the remarkable culture shift surrounding the vernacular language translations of Euclid, and the geometrical imaginary that they sought to create. It shows how the visual language of early modern European geometry was constructed by borrowing and quoting from contemporary visual culture. The verbal and visual language of this form of mathematics, far from being simply immaterial, was designed to tantalize with material connotations. This book argues that, in a very real sense, practical geometry in this period was built out of craft metaphors.
Exploring Musical Spaces
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Author : Julian Hook
language : en
Publisher: Oxford University Press
Release Date : 2022-09-08
Exploring Musical Spaces written by Julian Hook and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-08 with categories.
Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.