CHARTING BOETHIUS: MUSIC AND THE DIAGRAMMATIC TREE IN THE CAMBRIDGE UNIVERSITY LIBRARY’S DE INSTITUTIONE ARITHMETICA, MS II.3.12

2015 ◽  
Vol 34 ◽  
pp. 207-228 ◽  
Author(s):  
Daniel K. S. Walden
Keyword(s):  
Twelfth Century ◽  
Schematic Diagram ◽  
Cambridge University ◽  
Working Through ◽  
University Library ◽  
Full Page ◽  
Christ Church ◽  
The Subject ◽  
And Mathematics

AbstractThis article discusses a full-page schematic diagram contained in a twelfth-century manuscript of Boethius’ De institutione arithmetica and De institutione musica from Christ Church Cathedral, Canterbury (Cambridge University Library MS Ii.3.12), which has not yet been the subject of any significant musicological study despite its remarkable scope and comprehensiveness. This diagrammatic tree, or arbor, maps the precepts of the first book of De institutione arithmetica into a unified whole, depicting the ways music and arithmetic are interrelated as sub-branches of the quadrivium. I suggest that this schematic diagram served not only as a conceptual and interpretative device for the scribe working through Boethius’ complex theoretical material, but also as a mnemonic guide to assist the medieval pedagogue wishing to instruct students in the mathematics of musica speculativa. The diagram constitutes a fully developed theoretical exercise in its own right, while also demonstrating the roles Boethian philosophy and mathematics played in twelfth-century musical scholarship.

scholarly journals Scribal Intrusion in the Texts of Gamelyn

2010 ◽  
Vol 46 (2) ◽  
pp. 3-20
Author(s):  
Nila VáZquez
Keyword(s):  
Detailed Analysis ◽  
British Library ◽  
Bodleian Library ◽  
Cambridge University ◽  
Corpus Christi ◽  
University Library ◽  
Christ Church ◽  
Physical Elements

Scribal Intrusion in the Texts of Gamelyn One of most important steps in the process of editing a manuscript is the identification and correction of the mistakes made by the scribe or scribes involved in its copying process in order to obtain the best text. In some cases, the changes introduced by the scribe, or by the editor who was supervising his work, can easily be noticed because we find out "physical" elements throughout the folio, such as dots under a word as a sign of expunction or carets indicating that a missing word is being added. However, there are many instances of scribal intrusion where only a detailed analysis of the text itself, or even the comparison of different manuscripts, can lead us to the identification of a modified reading. For instance, orthographical changes due to the dialectal provenance of the copyist, or altered lines with a regular aspect. The purpose of this article is to analyse the scribal amendments that appear in some of the earliest copies of The tale of Gamelyn: Corpus Christi College Oxford MS 198 (Cp), Christ Church Oxford MS 152 (Ch), Fitzwilliam Museum McClean 181 (Fi), British Library MS Harley 7334 (Ha4), Bodleian Library MS Hatton Donat. 1 (Ht), British Library MS Lansdowne 851 (La), Lichfield Cathedral MS 29 (Lc), Cambridge University Library Mm. 2.5 (Mm), Petworth House MS 7 (Pw) and British Library MS Royal 18 C.II (Ry2).

Art. XVI.—Description of an old Persian Commentary on the Ḳur'án

1894 ◽  
Vol 26 (3) ◽  
pp. 417-524
Author(s):  
Edward G. Browne
Keyword(s):  
Small Proportion ◽  
British Museum ◽  
Cambridge University ◽  
University Library ◽  
The Subject ◽  
Old Persian

The collection of Persian manuscripts preserved in the Cambridge University Library is, compared with the collections of the British Museum or the Bodleian, sadly insignificant both in extent and value. The total number of volumes which it comprises scarcely exceeds 300, and of these only a small proportion is of any conspicuous worth or interest. Some few, however, there are which deserve to be made known to Orientalists, and amongst these is the manuscript which forms the subject of the present notice.

Bones of contention: the context of Ælfric's homily on St Vincent

1990 ◽  
Vol 19 ◽  
pp. 117-132 ◽  
Author(s):  
Susan E. Irvine
Keyword(s):  
Old English ◽  
Twelfth Century ◽  
Cambridge University ◽  
Lives Of Saints ◽  
University Library ◽  
Catholic Homilies

The Old English account of the passion of St Vincent of Saragossa survives only in one late manuscript, Cambridge, University Library, Ii. 1. 33, written in the second half of the twelfth century. This manuscript contains a large proportion of saints' lives by Ælfric, belonging mainly to his two series of Catholic Homilies and his later collection known as the Lives of Saints. The passion of St Vincent, from its alliterative style, reveals itself also to be the work of Ælfric. Since it was appended by W.W. Skeat to his edition of the Lives of Saints, it has generally been treated as part of the Lives of Saints collection, although there is no evidence that Ælfric himself ever added it to that set.

Neumed Boethian metra from Canterbury: a newly recovered leaf of Cambridge, University Library, Gg. 5.35 (the ‘Cambridge Songs’ manuscript)

1983 ◽  
Vol 12 ◽  
pp. 141-152
Author(s):  
M. T. Gibson ◽  
M. Lapidge ◽  
C. Page
Keyword(s):  
Eleventh Century ◽  
Anglo Saxon ◽  
Cambridge University ◽  
Medieval Latin ◽  
Musical Notation ◽  
Detached Leaf ◽  
University Library ◽  
The Subject

Frankfurt, Stadt- und Universitätsbibliothek, Fragm. lat. I. 56, a single detached leaf written in Anglo-Caroline minuscule of mid-eleventh-century date and containing a number of neumed metra of Boethius, was recently brought to the attention of Dr M. T. Gibson1 by the Keeper of Manuscripts in Frankfurt, Dr Gerhard Powitz.2 Dr C. Page identified it as part of the ‘Cambridge Songs’ manuscript, Cambridge, University Library, Gg. 5. 35 (fols. 432–41). The leaf throws valuable new light not only on the subject of musical notation in late Anglo-Saxon England, but also on the composition of one of the best-known collections of medieval Latin lyrics.3

Meet fractal curves with 1C:MathKit

2020 ◽  
pp. 38-48
Author(s):  
O. M. Korchazhkina
Keyword(s):  
Methodological Approach ◽  
Fractal Curve ◽  
Iterative Processes ◽  
Geometric Figures ◽  
Modern Natural ◽  
Geometric Objects ◽  
Ict Tools ◽  
Subject Areas ◽  
The Subject ◽  
And Mathematics

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

A Short Survey of Yemeni Sufism from Its Inception up to the Thirteenth Century

2009 ◽  
Vol 26 (1) ◽  
pp. 1-19
Author(s):  
Muhammad Aziz
Keyword(s):  
Cultural History ◽  
Thirteenth Century ◽  
Twelfth Century ◽  
Ninth Century ◽  
Mountainous Area ◽  
Economic Activities ◽  
Short Survey ◽  
The Status ◽  
The Subject ◽  
Intellectual Activities

This paper analyzes the historical conditions of Yemen’s Sufi movement from the beginning of Islam up to the rise of the Rasulid dynasty in the thirteenth century. This is a very difficult task, given the lack of adequate sources and sufficient academic attention in both the East and theWest. Certainly, a few sentences about the subject can be found scattered in Sufi literature at large, but a respectable study of the period’s mysticism can hardly be found.1 Thus, I will focus on the major authorities who first contributed to the ascetic movement’s development, discuss why a major decline of intellectual activities occurred in many metropolises, and if the existing ascetic conditions were transformed into mystical tendencies during the ninth century due to the alleged impact ofDhu’n-Nun al-Misri (d. 860). This is followed by a brief discussion ofwhat contributed to the revival of the country’s intellectual and economic activities. After that, I will attempt to portray the status of the major ascetics and prominent mystics credited with spreading and diffusing the so-called Islamic saintly miracles (karamat). The trademark of both ascetics and mystics across the centuries, this feature became more prevalent fromthe beginning of the twelfth century onward. I will conclude with a brief note on the most three celebrated figures of Yemen’s religious and cultural history: Abu al-Ghayth ibn Jamil (d. 1253) and his rival Ahmad ibn `Alwan (d. 1266) from the mountainous area, andMuhammad ibn `Ali al-`Alawi, known as al-Faqih al-Muqaddam (d. 1256), from Hadramawt.

Marie de France, the Psalms, and the Construction of Romance Authorship

2018 ◽  
Author(s):  
Geoff Rector
Keyword(s):  
Twelfth Century ◽  
Marie De France ◽  
Familial Relationships ◽  
Working Through ◽  
Lament Psalms ◽  
Authorial Persona

This chapter examines the influence of the Psalms on the development of vernacular authorial roles in the twelfth century. It argues that authors of courtly romances, in the period of the genre’s emergence, drew upon the Psalms and the figure of David to sanction a new authorial office. In particular, it argues that Marie de France, in both the General Prologue and the lais themselves, looks to the Psalms for notions of lament, remembrance, obscurity, and restoration that frame both her authorial persona and the purposes of her genre. In ‘Yonec’ in particular, we see a heroine’s lament that is carefully modelled on the lament Psalms but also reproduces the duties of authorship and genre that Marie claims for herself in the Prologue. Ultimately, the chapter argues that the Psalms, working through ‘neighbouring’ or ‘contrafactive’ rather than familial relationships, definitely shaped romance as a genre.

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