Music Experiment And Mathematics In England 1653 1705

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Music, Experiment and Mathematics in England, 1653-1705

Benjamin Wardhaugh
Music Experiment and Mathematics in England 1653 1705 Book PDF

Author : Benjamin Wardhaugh
Publisher : Routledge
Page : 222 pages
File Size : 53,6 Mb
Release : 2017-07-05
Category : Music
ISBN : 9781351557085

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Music, Experiment and Mathematics in England, 1653-1705 by Benjamin Wardhaugh Pdf

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 "

Benjamin Wardhaugh
Music Experiment and Mathematics in England 1653 705 Book PDF

Author : Benjamin Wardhaugh
Publisher : Routledge
Page : 214 pages
File Size : 49,7 Mb
Release : 2017-07-05
Category : Music
ISBN : 9781351557078

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"Music, Experiment and Mathematics in England, 1653?705 " by Benjamin Wardhaugh Pdf

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

Eleanor Robson,Jacqueline Stedall
The Oxford Handbook of the History of Mathematics Book PDF

Author : Eleanor Robson,Jacqueline Stedall
Publisher : Oxford University Press on Demand
Page : 927 pages
File Size : 44,9 Mb
Release : 2009
Category : History
ISBN : 9780199213122

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The Oxford Handbook of the History of Mathematics by Eleanor Robson,Jacqueline Stedall Pdf

This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.

Eros and Music in Early Modern Culture and Literature

Claire Bardelmann
Eros and Music in Early Modern Culture and Literature Book PDF

Author : Claire Bardelmann
Publisher : Routledge
Page : 266 pages
File Size : 45,5 Mb
Release : 2018-05-15
Category : Literary Criticism
ISBN : 9780429018299

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Eros and Music in Early Modern Culture and Literature by Claire Bardelmann Pdf

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.

The Advancement of Music in Enlightenment England

Tim Eggington
The Advancement of Music in Enlightenment England Book PDF

Author : Tim Eggington
Publisher : Boydell & Brewer Ltd
Page : 321 pages
File Size : 53,7 Mb
Release : 2014
Category : Music
ISBN : 9781843839064

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The Advancement of Music in Enlightenment England by Tim Eggington Pdf

Casts new and valuable light on English musical history and on Enlightenment culture more generally.

John Birchensha: Writings on Music

Benjamin Wardhaugh
John Birchensha Writings on Music Book PDF

Author : Benjamin Wardhaugh
Publisher : Routledge
Page : 342 pages
File Size : 52,6 Mb
Release : 2017-07-05
Category : Music
ISBN : 9781351561587

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John Birchensha: Writings on Music by Benjamin Wardhaugh Pdf

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

Thomas Salmon: Writings on Music

Benjamin Wardhaugh
Thomas Salmon Writings on Music Book PDF

Author : Benjamin Wardhaugh
Publisher : Routledge
Page : 208 pages
File Size : 51,6 Mb
Release : 2017-07-05
Category : Music
ISBN : 9781351539203

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Thomas Salmon: Writings on Music by Benjamin Wardhaugh Pdf

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

Tom Dixon
Music Nature and Divine Knowledge in England 1650 1750 Book PDF

Author : Tom Dixon
Publisher : Boydell & Brewer
Page : 366 pages
File Size : 50,9 Mb
Release : 2023-05-16
Category : Electronic
ISBN : 9781783277674

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Music, Nature and Divine Knowledge in England, 1650-1750 by Tom Dixon Pdf

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.

Mathematics and the Craft of Thought in the Anglo-Dutch Renaissance

Eleanor Chan
Mathematics and the Craft of Thought in the Anglo Dutch Renaissance Book PDF

Author : Eleanor Chan
Publisher : Routledge
Page : 285 pages
File Size : 55,8 Mb
Release : 2021-09-30
Category : History
ISBN : 9781000461800

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Mathematics and the Craft of Thought in the Anglo-Dutch Renaissance by Eleanor Chan Pdf

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.

John Wallis: Writings on Music

David Cram
John Wallis Writings on Music Book PDF

Author : David Cram
Publisher : Routledge
Page : 254 pages
File Size : 45,6 Mb
Release : 2017-07-05
Category : Music
ISBN : 9781351561495

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John Wallis: Writings on Music by David Cram Pdf

John Wallis (1616-1703), was one of the foremost British mathematicians of the seventeenth century, and is also remembered for his important writings on grammar and logic. An interest in music theory led him to produce translations into Latin of three ancient Greek texts - those of Ptolemy, Porphyry and Bryennius - and involved him in discussions with Henry Oldenburg, the Secretary of the Royal Society, Thomas Salmon and other individuals as his ideas developed. The texts presented in this volume cover the relationship of ancient and modern tuning theory, the building of organs, the phenomena of resonance, and other musical topics.

Sing Aloud Harmonious Spheres

Jacomien Prins,Maude Vanhaelen
Sing Aloud Harmonious Spheres Book PDF

Author : Jacomien Prins,Maude Vanhaelen
Publisher : Routledge
Page : 294 pages
File Size : 40,9 Mb
Release : 2017-09-05
Category : Literary Criticism
ISBN : 9781351664189

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Sing Aloud Harmonious Spheres by Jacomien Prins,Maude Vanhaelen Pdf

This is the first volume to explore the reception of the Pythagorean doctrine of cosmic harmony within a variety of contexts, ranging chronologically from Plato to 18th-century England. This original collection of essays engages with contemporary debates concerning the relationship between music, philosophy, and science, and challenges the view that Renaissance discussions on cosmic harmony are either mere repetitions of ancient music theory or pre-figurations of the ‘Scientific Revolution’. Utilizing this interdisciplinary approach, Renaissance Conceptions of Cosmic Harmony offers a new perspective on the reception of an important classical theme in various cultural, sequential and geographical contexts, underlying the continuities and changes between Antiquity, the Middle Ages and the Renaissance. This project will be of particular interest within these emerging disciplines as they continue to explore the ideological significance of the various ways in which we appropriate the past.

Thomas Salmon: A proposal to perform musick and related writings, 1685-1706

Benjamin Wardhaugh
Thomas Salmon A proposal to perform musick and related writings 1685 1706 Book PDF

Author : Benjamin Wardhaugh
Publisher : Ashgate Publishing, Ltd.
Page : 206 pages
File Size : 51,8 Mb
Release : 2013
Category : Music
ISBN : 0754668452

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Thomas Salmon: A proposal to perform musick and related writings, 1685-1706 by Benjamin Wardhaugh Pdf

This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for proposing a radical reform of musical notation (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 and raised questions about the meaning and the source of musical knowledge similar to those he 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, Myth and Story in Medieval and Early Modern Culture

Katherine Butler,Samantha Bassler
Music Myth and Story in Medieval and Early Modern Culture Book PDF

Author : Katherine Butler,Samantha Bassler
Publisher : Boydell & Brewer
Page : 344 pages
File Size : 45,8 Mb
Release : 2019
Category : Music
ISBN : 9781783273713

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Music, Myth and Story in Medieval and Early Modern Culture by Katherine Butler,Samantha Bassler Pdf

The complex relationship between myths and music is here investigated.

Exploring Musical Spaces

Julian Hook,Associate Professor of Music Theory Julian Hook
Exploring Musical Spaces Book PDF

Author : Julian Hook,Associate Professor of Music Theory Julian Hook
Publisher : Oxford University Press
Page : 681 pages
File Size : 44,7 Mb
Release : 2022-09-08
Category : Electronic
ISBN : 9780190246013

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Exploring Musical Spaces by Julian Hook,Associate Professor of Music Theory Julian Hook Pdf

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.

Instruments of Knowledge

Jean-François Gauvin
Instruments of Knowledge Book PDF

Author : Jean-François Gauvin
Publisher : BRILL
Page : 303 pages
File Size : 43,5 Mb
Release : 2023-06-19
Category : Science
ISBN : 9789004504615

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Instruments of Knowledge by Jean-François Gauvin Pdf

In a bid to claim ‘scientific objects’ as requiring a significant amount of conceptual labor, this book looks sequentially at instruments, habits, and museums. The goal is to uncover how, together, these material and immaterial activities, rules, and commitments form one meaningful and credible blueprint revealing the building blocks of knowledge production. They serve to conceptualize and examine the entire life of an instrument: from its ideation and craft to its use, reuse, circulation, recycling, and (if not obliterated) its final entry into a museum. It is such an epistemological triptych that guides this investigation.