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Hypophrygian Mode
The Hypophrygian (deuterus plagalis) mode, literally meaning "below Phrygian (plagal second)", is a musical mode or diatonic scale in medieval chant theory, the fourth mode of church music. This mode is the plagal counterpart of the authentic third mode, which was called '' Phrygian''. In the Middle Ages and Renaissance this mode was described in two ways: the diatonic scale from B to B an octave above, divided at the mode final E (B–C–D–E + E–F–G–A–B); and as a mode with final E and ambitus from the A below to the C above. The note A above the final (the tenor of the corresponding fourth psalm tone) had an important melodic function. The melodic range of the ecclesiastical Hypophrygian mode therefore goes from the perfect fourth or fifth below the tonic to the perfect fifth or minor sixth above. The name Hypophrygian originates in an octave species of ancient Greek music theory. According to Aristoxenus, this octave species was originally described around the ...
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Medieval Hypophrygian Mode
In the history of Europe, the Middle Ages or medieval period lasted approximately from the late 5th to the late 15th centuries, similar to the post-classical period of global history. It began with the fall of the Western Roman Empire and transitioned into the Renaissance and the Age of Discovery. The Middle Ages is the middle period of the three traditional divisions of Western history: classical antiquity, the medieval period, and the modern period. The medieval period is itself subdivided into the Early, High, and Late Middle Ages. Population decline, counterurbanisation, the collapse of centralized authority, invasions, and mass migrations of tribes, which had begun in late antiquity, continued into the Early Middle Ages. The large-scale movements of the Migration Period, including various Germanic peoples, formed new kingdoms in what remained of the Western Roman Empire. In the 7th century, North Africa and the Middle East—most recently part of the Byzantine Empi ...
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Tetrachord
In music theory, a tetrachord ( el, τετράχορδoν; lat, tetrachordum) is a series of four notes separated by three intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cents)—but in modern use it means any four-note segment of a scale or tone row, not necessarily related to a particular tuning system. History The name comes from ''tetra'' (from Greek—"four of something") and ''chord'' (from Greek ''chordon''—"string" or "note"). In ancient Greek music theory, ''tetrachord'' signified a segment of the greater and lesser perfect systems bounded by ''immovable'' notes ( ); the notes between these were ''movable'' ( ). It literally means ''four strings'', originally in reference to harp-like instruments such as the lyre or the kithara, with the implicit understanding that the four strings produced adjacent (i.e., conjunct) notes. Modern music theory uses the octave as the basic u ...
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American Institute Of Musicology
The American Institute of Musicology (AIM) is a musicological organization that researches, promotes and produces publications on early music. Founded in 1944 by Armen Carapetyan, the AIM's chief objective is the publication of modern editions of medieval, Renaissance and early Baroque compositions and works of music theory. Among the series it produces are the ''Corpus mensurabilis musicae'' (CMM), ''Corpus Scriptorum de Musica'' (CSM) and ''Corpus of Early Keyboard Music'' (CEKM). In CMM specifically, the AIM has published the entire surviving ''oeuvres'' of a considerable amount of composers, most notably the complete works of Guillaume de Machaut and Guillaume Du Fay, among many others. The CSM, which focuses on music theory, has published the treatises of important theorists such as Guido of Arezzo and Jean Philippe Rameau. The breadth and quality of publications produced by the AIM constitutes a central contribution to the study, practice and performance of early music. ...
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The New Grove Dictionary Of Music And Musicians
''The New Grove Dictionary of Music and Musicians'' is an encyclopedic dictionary of music and musicians. Along with the German-language ''Die Musik in Geschichte und Gegenwart'', it is one of the largest reference works on the history and theory of music. Earlier editions were published under the titles ''A Dictionary of Music and Musicians'', and ''Grove's Dictionary of Music and Musicians''; the work has gone through several editions since the 19th century and is widely used. In recent years it has been made available as an electronic resource called ''Grove Music Online'', which is now an important part of ''Oxford Music Online''. ''A Dictionary of Music and Musicians'' ''A Dictionary of Music and Musicians'' was first published in London by Macmillan and Co. in four volumes (1879, 1880, 1883, 1889) edited by George Grove with an Appendix edited by J. A. Fuller Maitland in the fourth volume. An Index edited by Mrs. E. Wodehouse was issued as a separate volume in 1890. In ...
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Harold Powers
Harold Stone Powers (August 5, 1928 – March 15, 2007) was an American musicologist, ethnomusicologist, and music theorist. Career Born in New York City on August 5, 1928, he earned his B.Mus. in piano from Syracuse University in 1950 and an MFA in composition and musicology from Princeton University in 1952. As a Fulbright Fellow, he studied Indian music in Madras for two years before continuing at Princeton where he received a Ph.D. in musicology. His dissertation was on “The Background of the South Indian Raga System.” Powers taught at Harvard University from 1958 to 1960 and at the University of Pennsylvania from 1961 to 1973 before returning to Princeton where he was named the Scheide Professor of Music History in 1995 and in 2001 assumed Emeritus status. Powers returned to India several times to study music there on John D. Rockefeller III and Fulbright Senior fellowships. Powers was known for intensive study of both Renaissance music and music theory and several ...
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Johannes Ockeghem
Johannes Ockeghem ( – 6 February 1497) was a Franco-Flemish composer and singer of early Renaissance music. Ockeghem was the most influential European composer in the period between Guillaume Du Fay and Josquin des Prez, and he was—with his colleague Antoine Busnois—the leading European composer in the second half of the 15th century. He was an important proponent of the early Franco-Flemish School. Ockeghem was well associated with other leading composers of the time, and spent most of his career serving the French royal court under Charles VII, Louis XI and Charles VIII. Numerous poets and musicians lamented his death, including Erasmus, Guillaume Crétin, Jean Molinet and Josquin, who composed the well known ''Nymphes des bois'' for him. It is thought that Ockeghem's extant works represent only a small part of his entire ''oeuvre'', including around 14 masses, 20 chansons and less than 10 motets—though the exact numbers vary due to attribution uncertainties. His be ...
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Boethius
Anicius Manlius Severinus Boethius, commonly known as Boethius (; Latin: ''Boetius''; 480 – 524 AD), was a Roman senator, consul, ''magister officiorum'', historian, and philosopher of the Early Middle Ages. He was a central figure in the translation of the Greek classics into Latin, a precursor to the Scholastic movement, and, along with Cassiodorus, one of the two leading Christian scholars of the 6th century. The local cult of Boethius in the Diocese of Pavia was sanctioned by the Sacred Congregation of Rites in 1883, confirming the diocese's custom of honouring him on the 23 October. Boethius was born in Rome a few years after the collapse of the Western Roman Empire. A member of the Anicii family, he was orphaned following the family's sudden decline and was raised by Quintus Aurelius Memmius Symmachus, a later consul. After mastering both Latin and Greek in his youth, Boethius rose to prominence as a statesman during the Ostrogothic Kingdom: becoming a senator by a ...
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Ptolemy
Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importance to later Byzantine, Islamic, and Western European science. The first is the astronomical treatise now known as the '' Almagest'', although it was originally entitled the ''Mathēmatikē Syntaxis'' or ''Mathematical Treatise'', and later known as ''The Greatest Treatise''. The second is the ''Geography'', which is a thorough discussion on maps and the geographic knowledge of the Greco-Roman world. The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. This is sometimes known as the ''Apotelesmatika'' (lit. "On the Effects") but more commonly known as the '' Tetrábiblos'', from the Koine Greek meaning "Four Books", or by its Latin equivalent ''Quadrip ...
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Hypolydian Mode
The Hypolydian mode, literally meaning "below Lydian", is the common name for the sixth of the eight church modes of medieval music theory. The name is taken from Ptolemy of Alexandria's term for one of his seven ''tonoi'', or transposition keys. This mode is the plagal counterpart of the authentic fifth mode. In medieval theory the Hypolydian mode was described either as (1) the diatonic octave species from C to the C an octave higher, divided at the final F (C–D–E–F + F–G–A–B–C) or (2) a mode with F as final and an ambitus from the C below the final to the D above it. The third above the final, A—corresponding to the reciting tone or "tenor" of the sixth psalm tone—was regarded as having an important melodic function in this mode. The sequence of intervals was therefore divided by the final into a lower tetrachord of tone-tone-semitone, and an upper pentachord of tone-tone-tone-semitone. However, from as early as the time of Hucbald Hucbald ( – 20 June ...
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Dorian Mode
Dorian mode or Doric mode can refer to three very different but interrelated subjects: one of the Ancient Greek ''harmoniai'' (characteristic melodic behaviour, or the scale structure associated with it); one of the medieval musical modes; or—most commonly—one of the modern modal diatonic scales, corresponding to the piano keyboard's white notes from D to D, or any transposition of itself. : Greek Dorian mode The Dorian mode (properly ''harmonia'' or ''tonos'') is named after the Dorian Greeks. Applied to a whole octave, the Dorian octave species was built upon two tetrachords (four-note segments) separated by a whole tone, running from the ''hypate meson'' to the ''nete diezeugmenon''. In the enharmonic genus, the intervals in each tetrachord are quarter tone–quarter tone–major third. : In the chromatic genus, they are semitone–semitone–minor third. : In the diatonic genus, they are semitone–tone–tone. : In the diatonic genus, the sequence over the ...
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Ditone
In music, a ditone (, from , "of two tones") is the interval of a major third. The size of a ditone varies according to the sizes of the two tones of which it is compounded. The largest is the Pythagorean ditone, with a ratio of 81:64, also called a comma-redundant major third; the smallest is the interval with a ratio of 100:81, also called a comma-deficient major third. Pythagorean tuning The Pythagorean ditone is the major third in Pythagorean tuning, which has an interval ratio of 81:64, which is 407.82 cents. The Pythagorean ditone is evenly divisible by two major tones (9/8 or 203.91 cents) and is wider than a just major third (5/4, 386.31 cents) by a syntonic comma (81/80, 21.51 cents). Because it is a comma wider than a "perfect" major third of 5:4, it is called a "comma-redundant" interval. "The major third that appears commonly in the ythagoreansystem (C–E, D–F, etc.) is more properly known as the Pythagorean ditone and consists of two major and two minor semit ...
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Quarter Tone
A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (aurally, or logarithmically) as a semitone, which itself is half a whole tone. Quarter tones divide the octave by 50 cents each, and have 24 different pitches. Quarter tone has its roots in the music of the Middle East and more specifically in Persian traditional music. However, the first evidenced proposal of quarter tones, or the quarter-tone scale (24 equal temperament), was made by 19th-century music theorists Heinrich Richter in 1823Julian Rushton, "Quarter-Tone", ''The New Grove Dictionary of Music and Musicians'', second edition, edited by Stanley Sadie and John Tyrrell (London: Macmillan, 2001). and Mikhail Mishaqa about 1840. Composers who have written music using this scale include: Pierre Boulez, Julián Carrillo, Mildred Couper, George Enescu, Alberto Ginastera, Gérard Grisey, Alois Hába, Ljubica Marić, Charles Ives, Tristan Murail, Krzysztof Pendere ...
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