Cleonides
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Cleonides
Cleonides ( el, Κλεονείδης) is the author of a Greek treatise on music theory titled Εἰσαγωγὴ ἁρμονική ''Eisagōgē harmonikē'' (Introduction to Harmonics). The date of the treatise, based on internal evidence, can be established only to the broad period between the 3rd century BCE and the 4th century CE; however, treatises titled ''eisagōgē'' generally began to appear only in the 1st century BCE, which seems the most likely period for Cleonides' work.Jon Solomon, "Cleonides leoneidēs, ''The New Grove Dictionary of Music and Musicians'', second edition, edited by Stanley Sadie and John Tyrrell (London: Macmillan Publishers, 2001). The attribution of the ''Eisagōgē'' in some manuscripts to Euclid or Pappus is incompatible with the Aristoxenian approach adopted in the treatise. A few manuscripts name a "Zosimus" as the author. Cleonides' treatise is the clearest account of the technical aspects of Aristoxenus Aristoxenus of Tarentum ( el, Ἀ ...
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Stanley Sadie
Stanley John Sadie (; 30 October 1930 – 21 March 2005) was an influential and prolific British musicologist, music critic, and editor. He was editor of the sixth edition of the '' Grove Dictionary of Music and Musicians'' (1980), which was published as the first edition of ''The New Grove Dictionary of Music and Musicians''. Along with Thurston Dart, Nigel Fortune and Oliver Neighbour he was one of Britain's leading musicologists of the post-World War II generation. Career Born in Wembley, Sadie was educated at St Paul's School, London, and studied music privately for three years with Bernard Stevens. At Gonville and Caius College, Cambridge he read music under Thurston Dart. Sadie earned Bachelor of Arts and Bachelor of Music degrees in 1953, a Master of Arts degree in 1957, and a PhD in 1958. His doctoral dissertation was on mid-eighteenth-century British chamber music. After Cambridge, he taught at Trinity College of Music, London (1957–1965). Sadie then turned to musi ...
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John Tyrrell (professor Of Music)
John Tyrrell (17 August 1942 – 4 October 2018) was a British musicologist. He published several books on Leoš Janáček, including an authoritative and largely definitive two-volume biography. Early life Tyrrell was born in Salisbury, Southern Rhodesia (now Harare, Zimbabwe), he studied at the universities of Cape Town, Oxford and Brno. He pursued his Bachelor of Music at the University of Cape Town following which he moved to Oxford University to pursue a doctoral degree under the supervision of Edmund Rubbra Career Tyrrell started his career working in an editorial capacity at The Musical Times. He was a Lecturer in Music at the University of Nottingham (1976), becoming Reader in Opera Studies (1987) and Professor (1996). From 1996 to 2000 he was Executive Editor of the second edition of ''The New Grove Dictionary of Music and Musicians'' (2001). From 2000-08, he was Research Professor at Cardiff University. He received numerous awards and honours throughout his career. ...
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Euclid
Euclid (; grc-gre, Wikt:Εὐκλείδης, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Euclid's Elements, Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus (mathematician), Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the philosophers Proclus and Pappus of Alexandria many centuries later. Until the early Renaissance he was often mistaken f ...
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Pappus Of Alexandria
Pappus of Alexandria (; grc-gre, Πάππος ὁ Ἀλεξανδρεύς; AD) was one of the last great Greek mathematicians of antiquity known for his ''Synagoge'' (Συναγωγή) or ''Collection'' (), and for Pappus's hexagon theorem in projective geometry. Nothing is known of his life, other than what can be found in his own writings: that he had a son named Hermodorus, and was a teacher in Alexandria.Pierre Dedron, J. Itard (1959) ''Mathematics And Mathematicians'', Vol. 1, p. 149 (trans. Judith V. Field) (Transworld Student Library, 1974) ''Collection'', his best-known work, is a compendium of mathematics in eight volumes, the bulk of which survives. It covers a wide range of topics, including geometry, recreational mathematics, doubling the cube, polygons and polyhedra. Context Pappus was active in the 4th century AD. In a period of general stagnation in mathematical studies, he stands out as a remarkable exception. "How far he was above his contemporaries, how lit ...
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Aristoxenus
Aristoxenus of Tarentum ( el, Ἀριστόξενος ὁ Ταραντῖνος; born 375, fl. 335 BC) was a Greek Peripatetic philosopher, and a pupil of Aristotle. Most of his writings, which dealt with philosophy, ethics and music, have been lost, but one musical treatise, ''Elements of Harmony'' (Greek: Ἁρμονικὰ στοιχεῖα; Latin: ''Elementa harmonica''), survives incomplete, as well as some fragments concerning rhythm and meter. The ''Elements'' is the chief source of our knowledge of ancient Greek music."Aristoxenus of Tarentum" in ''Chambers's Encyclopædia''. London: George Newnes, 1961, Vol. 1, p. 593. Life Aristoxenus was born at Tarentum, and was the son of a learned musician named Spintharus (otherwise Mnesias). He learned music from his father, and having then been instructed by Lamprus of Erythrae and Xenophilus the Pythagorean, he finally became a pupil of Aristotle, whom he appears to have rivaled in the variety of his studies. According to the ...
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Thomas J
Clarence Thomas (born June 23, 1948) is an American jurist who serves as an associate justice of the Supreme Court of the United States. He was nominated by President George H. W. Bush to succeed Thurgood Marshall and has served since 1991. After Marshall, Thomas is the second African American to serve on the Court and its longest-serving member since Anthony Kennedy's retirement in 2018. Thomas was born in Pin Point, Georgia. After his father abandoned the family, he was raised by his grandfather in a poor Gullah community near Savannah. Growing up as a devout Catholic, Thomas originally intended to be a priest in the Catholic Church but was frustrated over the church's insufficient attempts to combat racism. He abandoned his aspiration of becoming a clergyman to attend the College of the Holy Cross and, later, Yale Law School, where he was influenced by a number of conservative authors, notably Thomas Sowell, who dramatically shifted his worldview from progressive to ...
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