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7-limit Tuning And Intervals
7-limit or septimal Musical tuning#Tuning systems, tunings and interval (music), intervals are musical instrument tunings that have a limit (music), limit of seven: the largest prime number, prime factor contained in the interval ratios between pitch (music), pitches is seven. Thus, for example, 50:49 is a 7-limit interval, but 14:11 is not. For example, the greater just minor seventh, 9:5 () is a 5-limit tuning, 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3. The harmonic seventh is used in the barbershop seventh chord and barbershop music, music. () Compositions with septimal tunings include La Monte Young's ''The Well-Tuned Piano'', Ben Johnston (composer), Ben Johnston's String Quartet No. 4, Lou Harrison's ''Incidental Music for Corneille's Cinna'', and Michael Harrison (musician), Michael Harrison's ''Revelation: Music in Pure Intonation''. The Gre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Seventh On C
In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the ''fundamental frequency'' of a periodic signal. The fundamental frequency is also called the ''1st harmonic''; the other harmonics are known as ''higher harmonics''. As all harmonics are Periodic function, periodic at the fundamental frequency, the sum of harmonics is also periodic at that frequency. The set of harmonics forms a ''harmonic series (music), harmonic series''. The term is employed in various disciplines, including music, physics, acoustics, electronic power transmission, radio technology, and other fields. For example, if the fundamental frequency is 50 Hertz, Hz, a common alternating current, AC power supply frequency, the frequencies of the first three higher harmonics are 100 Hz (2nd harmonic), 150 Hz (3rd harmonic), 200 Hz (4th harmonic) and any addition of waves with these frequencies is periodic at 50& ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Well-Tuned Piano
''The Well-Tuned Piano'' is an ongoing improvisatory solo piano work begun in 1964 by La Monte Young. Young has never considered the composition or performance of this piece finished, and he has performed it differently several times since its debut in 1974. The composition requires a piano tuned in just intonation. A 1987 performance of the piece was released on DVD in 2000. A typical performance lasts five to six hours. and is performed within the context of Marian Zazeela's light art installation ''The Magenta Lights''. ''The Guardian'' described it as "one of the great achievements of 20th-century music." Inspiration and influence Young gives credit to Dennis Johnson, a former schoolmate and composer from UCLA, for inspiring ''The Well-Tuned Piano''. Johnson wrote an extensive, improvisatory, solo piano piece titled ''November'' in 1959, a few years before Young began working on ''The Well-Tuned Piano''. Although the piece is said to be as long as six hours, the tape reco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Giuseppe Tartini
Giuseppe Tartini (8 April 1692 – 26 February 1770) was an Italian composer and violinist of the Baroque era born in Pirano in the Republic of Venice (now Piran, Slovenia). Tartini was a prolific composer, composing over a hundred pieces for the violin, the majority of them violin concertos. He is best remembered for his Violin Sonata in G Minor (the Devil's Trill Sonata). Early life Tartini was born on 8 April 1692 in Pirano (today part of Slovenia), a town on the peninsula of Istria, in the Republic of Venice to Gianantonio – native of Florence – and Caterina Zangrando, a descendant of one of the oldest aristocratic Piranese families. It appears Tartini's parents intended him to become a Franciscan friar and, in this way, he received basic musical training. Tartini studied violin first at the ''collegio delle Scuole Pie'' in Capodistria (today Koper). He studied law at the University of Padua, where he became skilled at Fencing (sport), fencing. After his father's death ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marin Mersenne
Marin Mersenne, OM (also known as Marinus Mersennus or ''le Père'' Mersenne; ; 8 September 1588 – 1 September 1648) was a French polymath whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for Mersenne prime numbers, those written in the form for some integer . He also developed Mersenne's laws, which describe the harmonics of a vibrating string (such as may be found on guitars and pianos), and his seminal work on music theory, '' Harmonie universelle'', for which he is referred to as the "father of acoustics". Mersenne, an ordained Catholic priest, had many contacts in the scientific world and has been called "the center of the world of science and mathematics during the first half of the 1600s" and, because of his ability to make connections between people and ideas, "the post-box of Europe". He was also a member of the ascetical Minim religious order and wrote and lectured on theology and philosophy. Life Mersenne was b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Consonance And Dissonance
In music, consonance and dissonance are categorizations of simultaneous or successive sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness, unpleasantness, or unacceptability, although there is broad acknowledgement that this depends also on familiarity and musical expertise. The terms form a structural dichotomy in which they define each other by mutual exclusion: a consonance is what is not dissonant, and a dissonance is what is not consonant. However, a finer consideration shows that the distinction forms a gradation, from the most consonant to the most dissonant. In casual discourse, as German composer and music theorist Paul Hindemith stressed, : "The two concepts have never been completely explained, and for a thousand years the definitions have varied". The term ''sonance'' has been proposed to encompass or refer indistinctly to the terms ''consonance'' and ''dissonance''. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taranto
Taranto (; ; previously called Tarent in English) is a coastal city in Apulia, Southern Italy. It is the capital of the province of Taranto, serving as an important commercial port as well as the main Italian naval base. Founded by Spartans in the 8th century BC during the period of Greek colonisation, Taranto was among the most important '' poleis'' in Magna Graecia, becoming a cultural, economic and military power that gave birth to philosophers, strategists, writers and athletes such as Archytas, Aristoxenus, Livius Andronicus, Heracleides, Iccus, Cleinias, Leonidas, Lysis and Sosibius. By 500 BC, the city was among the largest in the world, with a population estimated up to 300,000 people. The seven-year rule of Archytas marked the apex of its development and recognition of its hegemony over other Greek colonies of southern Italy. During the Norman period, it became the capital of the Principality of Taranto, which covered almost all of the heel of Apulia. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archytas
Archytas (; ; 435/410–360/350 BC) was an Ancient Greek mathematician, music theorist, statesman, and strategist from the ancient city of Taras (Tarentum) in Southern Italy. He was a scientist and philosopher affiliated with the Pythagorean school and famous for being the reputed founder of mathematical mechanics and a friend of Plato. As a Pythagorean, Archytas believed that arithmetic (logistic), rather than geometry, provided the basis for satisfactory proofs, and developed the most famous argument for the infinity of the universe in antiquity. Life Archytas was born in Tarentum, a Greek city in the Italian Peninsula that was part of Magna Graecia, and was the son of Hestiaeus. He was presumably taught by Philolaus, and taught mathematics to Eudoxus of Cnidus and to Eudoxus' student, Menaechmus. Politically and militarily, Archytas appears to have been the dominant figure in Tarentum in his generation, somewhat comparable to Pericles in Athens a half-century earlier. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Genesis Of A Music
''Genesis of a Music'' is a book first published in 1949 by microtonal composer Harry Partch (1901–1974). Partch first presents a polemic against both equal temperament and the long history of stagnation in the teaching of music; according to Alex Ross, this is "the most startling forty-five-page history of music ever written". In particular, Partch holds Johann Sebastian Bach responsible for "the movement toward equal-tempered tuning, which meant that composers could not absorb the scales of other world traditions; and the urge to make music ever more instrumental and abstract." He then goes on to explain his tuning theory based on just intonation, the ensemble of musical instruments of his own invention (such as the "Surrogate Kithara, a struck-string, harplike instrument", and the guitar with movable frets he used to compose ''Barstow''), and several of his largest musical compositions. The book has been highly influential to succeeding generations of microtonal compose ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harry Partch
Harry Partch (June 24, 1901 – September 3, 1974) was an American composer, music theorist, and creator of unique musical instruments. He composed using scales of unequal intervals in just intonation, and was one of the first 20th-century composers in the West to work systematically with microtonal scales, alongside Lou Harrison. He built his own instruments in these tunings on which to play his compositions, and described the method behind his theory and practice in his book '' Genesis of a Music'' (1947). Partch composed with scales dividing the octave into 43 unequal tones derived from the natural harmonic series; these scales allowed for more tones of smaller intervals than in standard Western tuning, which uses twelve equal intervals to the octave. To play his music, Partch built many unique instruments, with such names as the Chromelodeon, the Quadrangularis Reversum, and the Zymo-Xyl. Partch described his music as "corporeal" (emphasizing its physical/viscera ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ptolemy
Claudius Ptolemy (; , ; ; – 160s/170s AD) was a Greco-Roman mathematician, astronomer, astrologer, geographer, and music theorist who wrote about a dozen scientific treatises, three of which were important to later Byzantine science, Byzantine, Islamic science, Islamic, and Science in the Renaissance, Western European science. The first was his astronomical treatise now known as the ''Almagest'', originally entitled ' (, ', ). The second is the ''Geography (Ptolemy), 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 physics, Aristotelian natural philosophy of his day. This is sometimes known as the ' (, 'On the Effects') but more commonly known as the ' (from the Koine Greek meaning 'four books'; ). The Catholic Church promoted his work, which included the only mathematically sound geocentric model of the Sola ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scale (music)
In music theory, a scale is "any consecutive series of notes that form a progression between one note and its octave", typically by order of pitch or fundamental frequency. The word "scale" originates from the Latin ''scala'', which literally means "ladder". Therefore, any scale is distinguishable by its "step-pattern", or how its intervals interact with each other. Often, especially in the context of the common practice period, most or all of the melody and harmony of a musical work is built using the notes of a single scale, which can be conveniently represented on a staff with a standard key signature. Due to the principle of octave equivalence, scales are generally considered to span a single octave, with higher or lower octaves simply repeating the pattern. A musical scale represents a division of the octave space into a certain number of scale steps, a scale step being the recognizable distance (or interval) between two successive notes of the scale. However, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Great Highland Bagpipe
The great Highland bagpipe ( 'the great pipe') is a type of bagpipe native to Scotland, and the Scottish analogue to the great Irish warpipes. It has acquired widespread recognition through its usage in the British Armed Forces, British military and in pipe bands throughout the world. The bagpipe of any kind is first attested in Scotland around 1400. The earliest references to bagpipes in Scotland are in a military context, and it is in that context that the great Highland bagpipe became established in the British military and achieved the widespread prominence it enjoys today, whereas other bagpipe traditions throughout Europe, ranging from Portugal to Russia, almost universally went into decline by the late 19th and early 20th century. Though widely famous for its role in military and civilian pipe bands, the great Highland bagpipe is also used for a solo virtuosic style called ''pìobaireachd'', ''ceòl mòr'', or simply pibroch. Through development over the centuries, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
