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Pyknon
Pyknon (from el, πυκνόν), sometimes also transliterated as pycnon (from el, πυκνός close, close-packed, crowded, condensed; lat, spissus) in the music theory of Antiquity is a structural property of any tetrachord in which a composite of two smaller intervals is less than the remaining ( incomposite) interval. The makeup of the ''pyknon'' serves to identify the melodic genus (also called "genus of a tetrachord") and the octave species made by compounding two such tetrachords, and the rules governing the ways in which such compounds may be made centre on the relationships of the two ''pykna'' involved. Definition The ''pyknon'' was an important criterion in the classification of melodic genera ( el, γένη τῶν μελῳδουμένων). The Greek word πυκνόν is an adjective meaning "close", "compact", "close-packed", or "crowded". In Ancient Greek music theory, this term is used to describe a pair of intervals within a tetrachord, the sum of which is les ...
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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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Eratosthenes
Eratosthenes of Cyrene (; grc-gre, Ἐρατοσθένης ;  – ) was a Greek polymath: a mathematician, geographer, poet, astronomer, and music theorist. He was a man of learning, becoming the chief librarian at the Library of Alexandria. His work is comparable to what is now known as the study of geography, and he introduced some of the terminology still used today. He is best known for being the first person known to calculate the circumference of the Earth, which he did by using the extensive survey results he could access in his role at the Library; his calculation was remarkably accurate. He was also the first to calculate Earth's axial tilt, which has also proved to have remarkable accuracy. He created the first global projection of the world, incorporating parallels and meridians based on the available geographic knowledge of his era. Eratosthenes was the founder of scientific chronology; he used Egyptian and Persian records to estimate the dates of the main ...
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New Haven, Connecticut
New Haven is a city in the U.S. state of Connecticut. It is located on New Haven Harbor on the northern shore of Long Island Sound in New Haven County, Connecticut and is part of the New York City metropolitan area. With a population of 134,023 as determined by the 2020 U.S. census, New Haven is the third largest city in Connecticut after Bridgeport and Stamford and the principal municipality of Greater New Haven, which had a total 2020 population of 864,835. New Haven was one of the first planned cities in the U.S. A year after its founding by English Puritans in 1638, eight streets were laid out in a four-by-four grid, creating the "Nine Square Plan". The central common block is the New Haven Green, a square at the center of Downtown New Haven. The Green is now a National Historic Landmark, and the "Nine Square Plan" is recognized by the American Planning Association as a National Planning Landmark. New Haven is the home of Yale University, New Haven's biggest taxpayer ...
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A Greek-English Lexicon
A, or a, is the first letter and the first vowel of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''a'' (pronounced ), plural ''aes''. It is similar in shape to the Ancient Greek letter alpha, from which it derives. The uppercase version consists of the two slanting sides of a triangle, crossed in the middle by a horizontal bar. The lowercase version can be written in two forms: the double-storey a and single-storey ɑ. The latter is commonly used in handwriting and fonts based on it, especially fonts intended to be read by children, and is also found in italic type. In English grammar, " a", and its variant " an", are indefinite articles. History The earliest certain ancestor of "A" is aleph (also written 'aleph), the first letter of the Phoenician alphabet, which consisted entirely of consonants (for that reason, it is also called an abjad to distinguish it fro ...
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Lincoln, Nebraska
Lincoln is the capital city of the U.S. state of Nebraska and the county seat of Lancaster County. The city covers with a population of 292,657 in 2021. It is the second-most populous city in Nebraska and the 73rd-largest in the United States. The city is the economic and cultural anchor of a substantially larger metropolitan area in the southeastern part of the state called the Lincoln Metropolitan and Lincoln- Beatrice Combined Statistical Areas. The statistical area is home to 361,921 people, making it the 104th-largest combined statistical area in the United States. The city was founded in 1856 as the village of Lancaster on the wild salt marshes and arroyos of what was to become Lancaster County. Renamed after President Abraham Lincoln, it became Nebraska's state capital in 1869. The Bertram G. Goodhue–designed state capitol building was completed in 1932, and is the second tallest capitol in the United States. As the city is the seat of government for the state ...
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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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Mixolydian Chromatic
Mixolydian mode may refer to one of three things: the name applied to one of the ancient Greek ''harmoniai'' or ''tonoi'', based on a particular octave species or scale; one of the medieval church modes; or a modern musical mode or diatonic scale, related to the medieval mode. (The Hypomixolydian mode of medieval music, by contrast, has no modern counterpart.) The modern diatonic mode is the scale forming the basis of both the rising and falling forms of Harikambhoji in Carnatic music, the classical music form of southern India. Greek Mixolydian The idea of a Mixolydian mode comes from the music theory of ancient Greece. The invention of the ancient Greek Mixolydian mode was attributed to Sappho, the poet and musician. However, what the ancient Greeks thought of as Mixolydian is very different from the modern interpretation of the mode. The prefix ''mixo''- (μιξο-) means "half", referring to its resemblance to the Lydian mode. In Greek theory, the Mixolydian ''tonos'' (t ...
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Gaudentius (music Theorist)
Gaudentius was a Greek music theorist in Classical Antiquity. Nothing is known of his life or background, or when he lived, except what can be inferred from his sole surviving work, (English: ''Harmonic Introduction''), a treatise. Leonhard Schmitz and Karl von Jan say that he seems to have known the writings of Aristoxenus (); but Schmitz says, not those of Ptolemy (). Hugo Riemann says he may have been a younger contemporary of Ptolemy. Cassiodorus () praises the treatise, and mentions a contemporary Latin translation for use in schools by one Mutianus, which has not survived. The treatise was first printed in 1652 by Marcus Meibomius Marcus Meibomius (c. 1630, Tönningen – 1710/1711, Utrecht) was a DanishOr possibly German, from Holstein. scholar. He is best known as a historian of music, as an antiquarian, and as the first librarian at the Denmark's Royal Library. He was ..., together with a commentary and a Latin translation, in his ''Antiquae musicae auctores septem'' ...
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Minor Third
In music theory, a minor third is a musical interval that encompasses three half steps, or semitones. Staff notation represents the minor third as encompassing three staff positions (see: interval number). The minor third is one of two commonly occurring thirds. It is called ''minor'' because it is the smaller of the two: the major third spans an additional semitone. For example, the interval from A to C is a minor third, as the note C lies three semitones above A. Coincidentally, there are three staff positions from A to C. Diminished and augmented thirds span the same number of staff positions, but consist of a different number of semitones (two and five). The minor third is a skip melodically. Notable examples of ascending minor thirds include the opening two notes of " Greensleeves" and of " Light My Fire". The minor third may be derived from the harmonic series as the interval between the fifth and sixth harmonics, or from the 19th harmonic. The minor third is co ...
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Greek Dorian Chromatic Genus
Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor of all known varieties of Greek. **Mycenaean Greek, most ancient attested form of the language (16th to 11th centuries BC). **Ancient Greek, forms of the language used c. 1000–330 BC. **Koine Greek, common form of Greek spoken and written during Classical antiquity. **Medieval Greek or Byzantine Language, language used between the Middle Ages and the Ottoman conquest of Constantinople. **Modern Greek, varieties spoken in the modern era (from 1453 AD). *Greek alphabet, script used to write the Greek language. *Greek Orthodox Church, several Churches of the Eastern Orthodox Church. *Ancient Greece, the ancient civilization before the end of Antiquity. *Old Greek, the language as spoken from Late Antiquity to around 1500 AD. Other uses * '' ...
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Just Tuning
In music, just intonation or pure intonation is the Musical tuning, tuning of musical Interval (music), intervals as Natural number, whole number ratios (such as 3:2 or 4:3) of Frequency, frequencies. An interval (music), interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and chords created by combining them) consist of tones from a single harmonic series (music), harmonic series of an implied fundamental frequency, fundamental. For example, in the diagram, if the notes G3 and C4 (labelled 3 and 4) are tuned as members of the harmonic series of the lowest C, their frequencies will be 3 and 4 times the fundamental frequency. The interval ratio between C4 and G3 is therefore 4:3, a just fourth (music), fourth. In Western musical practice, instruments are rarely tuned using only pure intervals—the desire for different keys to have identical intervals in Western music makes this impractical. Some instruments of fixed pitch, such as el ...
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Didymus The Musician
Didymus the Musician (Greek: Δίδυμος) was a music theorist in Rome of the end of the 1st century BC or beginning of the 1st century AD, who combined elements of earlier theoretical approaches with an appreciation of the aspect of performance. Formerly assumed to be identical with the Alexandrian grammarian and lexicographer Didymus Chalcenterus, because Ptolemy and Porphyry referred to him as Didymus ''ho mousikos'' (the musician), classical scholars now believe that this Didymus was a younger grammarian and musician working in Rome at the time of Emperor Nero. He was a predecessor of Ptolemy at the library of Alexandria. According to Andrew Barker, his intention was to revive and produce contemporary performances of the music of Greek antiquity. The syntonic comma of 81/80 is sometimes called the ''comma of Didymus'' after him. Among his works was ''On the Difference between the Aristoxenians and the Pythagoreans'' (Περὶ τῆς διαφορᾶς τῶν Ἀριστ ...
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