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7-limit Tuning And Intervals
7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between 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 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 music. () Compositions with septimal tunings include La Monte Young's ''The Well-Tuned Piano'', Ben Johnston's String Quartet No. 4, Lou Harrison's ''Incidental Music for Corneille's Cinna'', and Michael Harrison's ''Revelation: Music in Pure Intonation''. The Great Highland bagpipe is tuned to a ten-note seven-limit scale: 1:1, 9:8, 5:4, 4:3, 27:20, 3:2, 5:3, 7:4, 16:9, 9:5. In the 2nd century Ptolemy described the sept ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Seventh On C
A harmonic is a wave with a frequency that is a positive integer multiple of the ''fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal 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 Hz. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Well-Tuned Piano
''The Well-Tuned Piano'' is an ongoing, improvisatory, solo piano work by composer La Monte Young. Begun in 1964, Young has never considered the composition or performance "finished", and he has performed incarnations of it several times since its debut in 1974. The composition utilizes a piano tuned in just intonation. A typical performance lasts five to six hours. Young's wife, the artist Marian Zazeela, has contributed the lighting work ''The Magenta Lights'' to these performances. A 1987 performance of the piece was released on DVD in 2000. ''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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
François-Joseph Fétis
François-Joseph Fétis (; 25 March 1784 – 26 March 1871) was a Belgian musicologist, composer, teacher, and one of the most influential music critics of the 19th century. His enormous compilation of biographical data in the ''Biographie universelle des musiciens'' remains an important source of information today. Family Fétis was born in Mons, Hainaut, eldest son of Antoine-Joseph Fetis and Elisabeth Desprets, daughter of a famous chirurgical doctor. He had 9 brothers and sisters. His father was titular organist of the noble chapter of Saint-Waltrude. His grandfather was an organ manufacturer. He was trained as a musician by his father and played at young age on the Choir organ of Saint Waltrude. In October 1806 he married to Adélaïde-Louise-Catherine Robert, daughter of the French politician Pierre-François-Joseph Robert and Louise de Keralio, friend of Robespierre. They had 2 sons : most famous was Édouard Fétis, (1812-1909), his eldest son who helped his father with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leonhard Euler
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all." Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it." Euler is a ... [...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 the Republic of Venice. Tartini was a prolific composer, composing over a hundred of pieces for the violin with the majority of them being violin concertos. However, today, he is most famously remembered for his Violin Sonata in G Minor (the Devil's Trill Sonata). Biography Tartini was born on 8 April 1692 in Pirano (now 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. After his father's death in 1710, he ma ... [...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 which can be 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 Minim religious order and wrote and lectured on theology and philosophy. Life Mersenne was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Consonance And Dissonance
In music, consonance and dissonance are categorizations of simultaneous or successive Sound, 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] |
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 composers ... [...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 custom-made 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, and distinguished it from abs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scale (music)
In music theory, a scale is any set of musical notes ordered by fundamental frequency or pitch. A scale ordered by increasing pitch is an ascending scale, and a scale ordered by decreasing pitch is a descending scale. 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, there is no need for scale steps to be equal within any scale and, particularly as demonstrated by microtonal music, there is no limit to how many notes can ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Great Highland Bagpipe
The Great Highland bagpipe ( gd, a' phìob mhòr "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 military and in pipe bands throughout the world. The bagpipe is first attested in Scotland around 1400, having previously appeared in European artwork in Spain in the 13th century. 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' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
