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Elementa Harmonica
''Elementa harmonica'' is a treatise on the subject of musical scales by Aristoxenus, of which considerable amounts are extant. The work dates to the second half of the 4th century BC. It is the oldest substantially surviving work written on the subject of music theory. Title The work is known variously as Aristoxenou (or Aristoxenoy) Armonika (or Harmonika) Stoicheia ''i.e.'' Aristoxenou Armonika Stoicheia, Aristoxenou Harmonika Stoicheia etc. All of these translate as ''The Harmonics of Aristoxenus''. ''Elementa harmonica'' translates as Elements of Harmonics. ''Oxford Paperback Reference''(anWorld Cat The work is otherwise rendered as The Elements, or Elements, the latter translates into Greek as Στοιχεία. Subject Historical context The Elements is held to be the work founding a tradition of the study of music based on practice, which is, to understand music by study to the ear. Musicology as a discipline achieved nascency with the systematic study undertaken in the w ...
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Treatise
A treatise is a formal and systematic written discourse on some subject, generally longer and treating it in greater depth than an essay, and more concerned with investigating or exposing the principles of the subject and its conclusions."Treatise." Merriam-Webster Online Dictionary. Accessed September 12, 2020. A monograph is a treatise on a specialized topic. Etymology The word 'treatise' first appeared in the fourteenth century as the Medieval English word ''tretis'', which evolved from the Medieval Latin ''tractatus'' and the Latin ''tractare'', meaning to treat or to handle. Historically significant treatises Table The works presented here have been identified as influential by scholars on the development of human civilization. Discussion of select examples Euclid's ''Elements'' Euclid's ''Elements'' has appeared in more editions than any other books except the ''Bible'' and is one of the most important mathematical treatises ever. It has been translated to numer ...
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Enharmonic
In modern musical notation and tuning, an enharmonic equivalent is a note, interval, or key signature that is equivalent to some other note, interval, or key signature but "spelled", or named differently. The enharmonic spelling of a written note, interval, or chord is an alternative way to write that note, interval, or chord. The term is derived from Latin ''enharmonicus'', from Late Latin ''enarmonius'', from Ancient Greek ἐναρμόνιος (''enarmónios''), from ἐν (''en'') and ἁρμονία (''harmonía''). Definition For example, in any twelve-tone equal temperament (the predominant system of musical tuning in Western music), the notes C and D are ''enharmonic'' (or ''enharmonically equivalent'') notes. Namely, they are the same key on a keyboard, and thus they are identical in pitch, although they have different names and different roles in harmony and chord progressions. Arbitrary amounts of accidentals can produce further enharmonic equivalents, such as B (me ...
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Strong's Concordance
''The Exhaustive Concordance of the Bible'', generally known as ''Strong's Concordance'', is a Bible concordance, an index of every word in the King James Version (KJV), constructed under the direction of James Strong. Strong first published his ''Concordance'' in 1890, while professor of exegetical theology at Drew Theological Seminary. Purpose The purpose of ''Strong's Concordance'' is not to provide content or commentary about the Bible, but to provide an index to the Bible. This allows the reader to find words where they appear in the Bible. This index allows a student of the Bible to re-find a phrase or passage previously studied. It also lets the reader directly compare how the same word may be used elsewhere in the Bible. Strong's numbers Each original-language word is given an entry number in the dictionary of those original language words listed in the back of the concordance. These have become known as the "Strong's numbers". The main concordance lists each word t ...
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The Republic (Plato)
The ''Republic'' ( grc-gre, Πολῑτείᾱ, Politeia; ) is a Socratic dialogue, authored by Plato around 375 BCE, concerning justice (), the order and character of the just city-state, and the just man. It is Plato's best-known work, and one of the world's most influential works of philosophy and political theory, both intellectually and historically. In the dialogue, Socrates discusses the meaning of justice and whether the just man is happier than the unjust man with various Athenians and foreigners.In ancient times, the book was alternately titled ''On Justice'' (not to be confused with the spurious dialogue of the same name). They consider the natures of existing regimes and then propose a series of different, hypothetical cities in comparison, culminating in Kallipolis (Καλλίπολις), a utopian city-state ruled by a philosopher-king. They also discuss ageing, love, theory of forms, the immortality of the soul, and the role of the philosopher and of p ...
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Musical System Of Ancient Greece
The musical system of ancient Greece evolved over a period of more than 500 years from simple scales of tetrachords, or divisions of the perfect fourth, into several complex systems encompassing tetrachords and octaves, as well as octave scales divided into seven to thirteen intervals. Any discussion of the music of ancient Greece, theoretical, philosophical or aesthetic, is fraught with two problems: there are few examples of written music, and there are many, sometimes fragmentary, theoretical and philosophical accounts. The empirical research of scholars like Richard Crocker, C. André Barbera, and John Chalmers has made it possible to look at the ancient Greek systems as a whole without regard to the tastes of any one ancient theorist. The primary genera they examine are those of Pythagoras and the Pythagorean school, Archytas, Aristoxenos, and Ptolemy (including his versions of the genera of Didymos and Eratosthenes). Overview of the first complete tone system As an init ...
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Andrew Barker (classicist)
Andrew Dennison Barker, (24 April 1943 – 22 July 2021) was a British classicist and academic, specialising in ancient Greek music and the intersection between musical theory and philosophy. He was Professor of Classics at the University of Birmingham from 1998 to 2008, and had previously taught at the University of Warwick, University of Cambridge, and Selwyn College, Cambridge.'BARKER, Prof. Andrew Dennison', '' Who's Who 2017'', A & C Black, an imprint of Bloomsbury Publishing plc, 2017; online edn, Oxford University Press, 2016; online edn, Nov 201accessed 16 Oct 2017/ref> Early life and education Barker was born on 24 April 1943. He was educated at Christ's Hospital, then an all-boys charity school in Southwater, Sussex. He studied '' Literae Humaniores'' at The Queen's College, Oxford, graduating with a Bachelor of Arts (BA) degree. He then studied at the philosophy of biology at the Australian National University, from which he completed his Doctor of Phil ...
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Norman Cazden
Norman Cazden (Born September 23, 1914 in New York City; died August 18, 1980 in Bangor, Maine) was an American composer. The son of Russian immigrants, he studied first at the Juilliard School of Music and New York's City College, and then in 1944 at Harvard University under Aaron Copland and Walter Piston. While still a student at the Juilliard School, he composed for dance companies and wrote his first symphony. He also performed as a concert pianist and was a piano teacher at Juilliard from 1934 to 1949. After 1941, he worked at Camp Woodland in the Catskill Mountains, where he succeeded Herbert Haufrecht as musical director from 1945 to 1960. Cazden also taught at the Peabody Conservatory, the University of Michigan, and since 1950 at the University of Illinois in Champaign Urbana. After being investigated by the House Un-American Activities Committee, he lost this position in 1953 and received no academic position for the next 16 years. He gave private piano lessons duri ...
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Annie Bélis
Annie Bélis (born 1951) is a French archaeologist, philologist, papyrologist and musician. She is a research director at the French CNRS, specialized in music from classical antiquity, Ancient Greece and Ancient Rome. Career A former student of the École normale supérieure in Sèvres from 1972 to 1975, Bélis passed the agrégation in ancient literature in 1976. Then, Annie Bélis joined the Fondation Thiers from 1979 à 1982. She finished her PhD during her last year at Fondation Thiers and defended it at Paris-Sorbonne University. The same year, she entered the French School at Athens (1982–1986). In 1986, she published her book ''Aristoxène de Tarente et Aristote ; le Traité d'Harmonique'' for which she received the médaille Georges Perrot from the Académie des Inscriptions et Belles-Lettres. She got her first position at CNRS as tenured Research Scientist (''chargée de recherches'') in 1986 and is still with CNRS. She is currently a member of the AOROC laboratory ...
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Sam Houston State University
Sam Houston State University (SHSU or Sam) is a public university in Huntsville, Texas. It was founded in 1879 and is the third-oldest public college or university in Texas. It is one of the first normal schools west of the Mississippi River and the first in Texas. It is named for Sam Houston, who made his home in the city and is buried there. SHSU is a member of the Texas State University System and has an enrollment of more than 20,000 students across over 80 undergraduate, 59 master's, and 10 doctoral degree programs. The university also offers more than 20 online bachelor's and graduate degrees. History 19th and 20th centuries The Sam Houston State University campus was originally home to Austin College, the Presbyterian institution that relocated to Sherman, Texas, in 1876. Austin Hall was constructed in 1851 and is the oldest university building west of the Mississippi still in operation. It was renovated in 2012 and is used today for special meetings and events. Notably, ...
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The Renaissance
The Renaissance ( , ) , from , with the same meanings. is a period in European history marking the transition from the Middle Ages to modernity and covering the 15th and 16th centuries, characterized by an effort to revive and surpass ideas and achievements of classical antiquity. It occurred after the Crisis of the Late Middle Ages and was associated with great social change. In addition to the standard periodization, proponents of a "long Renaissance" may put its beginning in the 14th century and its end in the 17th century. The traditional view focuses more on the early modern aspects of the Renaissance and argues that it was a break from the past, but many historians today focus more on its medieval aspects and argue that it was an extension of the Middle Ages. However, the beginnings of the period – the early Renaissance of the 15th century and the Italian Proto-Renaissance from around 1250 or 1300 – overlap considerably with the Late Middle Ages, conventionally dat ...
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MIT Press
The MIT Press is a university press affiliated with the Massachusetts Institute of Technology (MIT) in Cambridge, Massachusetts (United States). It was established in 1962. History The MIT Press traces its origins back to 1926 when MIT published under its own name a lecture series entitled ''Problems of Atomic Dynamics'' given by the visiting German physicist and later Nobel Prize winner, Max Born. Six years later, MIT's publishing operations were first formally instituted by the creation of an imprint called Technology Press in 1932. This imprint was founded by James R. Killian, Jr., at the time editor of MIT's alumni magazine and later to become MIT president. Technology Press published eight titles independently, then in 1937 entered into an arrangement with John Wiley & Sons in which Wiley took over marketing and editorial responsibilities. In 1962 the association with Wiley came to an end after a further 125 titles had been published. The press acquired its modern name af ...
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Anno Domini
The terms (AD) and before Christ (BC) are used to label or number years in the Julian and Gregorian calendars. The term is Medieval Latin and means 'in the year of the Lord', but is often presented using "our Lord" instead of "the Lord", taken from the full original phrase "''anno Domini nostri Jesu Christi''", which translates to 'in the year of our Lord Jesus Christ'. The form "BC" is specific to English and equivalent abbreviations are used in other languages: the Latin form is but is rarely seen. This calendar era is based on the traditionally reckoned year of the conception or birth of Jesus, ''AD'' counting years from the start of this epoch and ''BC'' denoting years before the start of the era. There is no year zero in this scheme; thus ''the year AD 1 immediately follows the year 1 BC''. This dating system was devised in 525 by Dionysius Exiguus, but was not widely used until the 9th century. Traditionally, English follows Latin usage by placing the "AD" abbr ...
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