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Kees Van Prooijen
Kees (Cornelis) van Prooijen (born 7 August 1952) is a creator of computer art. Although it does not bear his name, he independently discovered the Bohlen-Pierce scale, a non- octave-repeating scale based on the tritave and spectra containing odd harmonics, in 1978. Van Prooijen came across the scale through an investigation of continued fractions.Schroeder, Manfred.Music and Mathematics, p.14. ''Nova Acta Leopoldina'' N.F. 92, Nr. 341, (Halle, 2005), pp. 9–15. He also invented the Kees height, or an "expressibility" measure for complexity of just intonation pitch classes. Sources Further reading * Wolfgang Auhagen Wolfgang Auhagen (born in 1953) is a German musicologist. Life Born in Hamburg, Auhagen studied musicology, art history and philosophy at the Georg-August-Universität Göttingen from 1973 until 1982. There he was awarded his doctorate with the ..., ed. (2005). ''Science and Music: The Impact of Music'': Leopoldina Symposium, Halle/Saale, May 13 to 15, 2004, . ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computer Art
Computer art is any art in which computers play a role in production or display of the artwork. Such art can be an image, sound, animation, video, CD-ROM, DVD-ROM, video game, website, algorithm, performance or gallery installation. Many traditional disciplines are now integrating digital technologies and, as a result, the lines between traditional works of art and new media works created using computers has been blurred. For instance, an artist may combine traditional painting with algorithm art and other digital techniques. As a result, defining computer art by its end product can thus be difficult. Computer art is bound to change over time since changes in technology and software directly affect what is possible. The term "computer art" On the title page of the magazine ''Computers and Automation'', January 1963, Edmund Berkeley published a picture by Efraim Arazi from 1962, coining for it the term "computer art." This picture inspired him to initiate the first ''Compute ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Octave-repeating
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 be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Series (music)
A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a ''fundamental frequency''. Pitched musical instruments are often based on an acoustic resonator such as a string or a column of air, which oscillates at numerous modes simultaneously. At the frequencies of each vibrating mode, waves travel in both directions along the string or air column, reinforcing and canceling each other to form standing waves. Interaction with the surrounding air causes audible sound waves, which travel away from the instrument. Because of the typical spacing of the resonances, these frequencies are mostly limited to integer multiples, or harmonics, of the lowest frequency, and such multiples form the harmonic series. The musical pitch of a note is usually perceived as the lowest partial present (the fundamental frequency), which may be the one created by vibration over the full length of the string or air co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic
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 at the fundamental frequency, the sum of harmonics is also periodic at that frequency. The set of harmonics forms a '' 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 Hz, a common 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. In music, harmonics are used on string instruments and wind instrum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Continued Fractions
In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on. In a finite continued fraction (or terminated continued fraction), the iteration/recursion is terminated after finitely many steps by using an integer in lieu of another continued fraction. In contrast, an infinite continued fraction is an infinite expression. In either case, all integers in the sequence, other than the first, must be positive. The integers a_i are called the coefficients or terms of the continued fraction. It is generally assumed that the numerator of all of the fractions is 1. If arbitrary values and/or functions are used in place of one or more of the numerators or the integers in the denominators, the resulting expression is a generalized continued fraction. When it is necessary t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Just Intonation
In music, just intonation or pure intonation is the tuning of musical intervals Interval may refer to: Mathematics and physics * Interval (mathematics), a range of numbers ** Partially ordered set#Intervals, its generalization from numbers to arbitrary partially ordered sets * A statistical level of measurement * Interval e ... as 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pitch Class
In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave position." Important to musical set theory, a pitch class is "all pitches related to each other by octave, enharmonic equivalence, or both." Thus, using scientific pitch notation, the pitch class "C" is the set : = . Although there is no formal upper or lower limit to this sequence, only a few of these pitches are audible to humans. Pitch class is important because human pitch-perception is periodic: pitches belonging to the same pitch class are perceived as having a similar quality or color, a property called "octave equivalence". Psychologists refer to the quality of a pitch as its "chroma". A ''chroma'' is an attribute of pitches (as opposed to ''tone height''), just like hue is an attribute of color. A ''pitch class'' is a set of all pit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolfgang Auhagen
Wolfgang Auhagen (born in 1953) is a German musicologist. Life Born in Hamburg, Auhagen studied musicology, art history and philosophy at the Georg-August-Universität Göttingen from 1973 until 1982. There he was awarded his doctorate with the thesis and in 1992 with a thesis on the subject ''Experimentelle Untersuchungen zur auditiven Tonalitätsbestimmung in Melodien'' habilited. He teaches at the Martin-Luther-Universität Halle-Wittenberg. Since 2005 Auhagen has been a foreign member of the . From 2006 to 2010 he was Vice Dean of the Philosophical Faculty II of the Martin Luther University Halle-Wittenberg and from 2009 to 2017 the President of the Gesellschaft für Musikforschung. Publications * ''Experimentelle Untersuchungen zur auditiven Tonalitätsbestimmung in Melodien.'' / 1, Text. , vol. 180, Bosse-Verlag Regensburg, 1994 * ''Wahrnehmung, Erkenntnis, Vermittlung : musikwissenschaftliche Brückenschläge : Festschrift für Wolfgang Auhagen''. * with Bram Gätjen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dutch Digital Artists
Dutch commonly refers to: * Something of, from, or related to the Netherlands * Dutch people () * Dutch language () Dutch may also refer to: Places * Dutch, West Virginia, a community in the United States * Pennsylvania Dutch Country People Ethnic groups * Germanic peoples, the original meaning of the term ''Dutch'' in English ** Pennsylvania Dutch, a group of early Germanic immigrants to Pennsylvania *Dutch people, the Germanic group native to the Netherlands Specific people * Dutch (nickname), a list of people * Johnny Dutch (born 1989), American hurdler * Dutch Schultz (1902–1935), American mobster born Arthur Simon Flegenheimer * Dutch Mantel, ring name of American retired professional wrestler Wayne Maurice Keown (born 1949) * Dutch Savage, ring name of professional wrestler and promoter Frank Stewart (1935–2013) Arts, entertainment, and media Fictional characters * Dutch (''Black Lagoon''), an African-American character from the Japanese manga and anime ''Blac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dutch Electronic Musicians
Dutch commonly refers to: * Something of, from, or related to the Netherlands * Dutch people () * Dutch language () Dutch may also refer to: Places * Dutch, West Virginia, a community in the United States * Pennsylvania Dutch Country People Ethnic groups * Germanic peoples, the original meaning of the term ''Dutch'' in English ** Pennsylvania Dutch, a group of early Germanic immigrants to Pennsylvania *Dutch people, the Germanic group native to the Netherlands Specific people * Dutch (nickname), a list of people * Johnny Dutch (born 1989), American hurdler * Dutch Schultz (1902–1935), American mobster born Arthur Simon Flegenheimer * Dutch Mantel, ring name of American retired professional wrestler Wayne Maurice Keown (born 1949) * Dutch Savage, ring name of professional wrestler and promoter Frank Stewart (1935–2013) Arts, entertainment, and media Fictional characters * Dutch (''Black Lagoon''), an African-American character from the Japanese manga and anime ''Black ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dutch Software Engineers
Dutch commonly refers to: * Something of, from, or related to the Netherlands * Dutch people () * Dutch language () Dutch may also refer to: Places * Dutch, West Virginia, a community in the United States * Pennsylvania Dutch Country People Ethnic groups * Germanic peoples, the original meaning of the term ''Dutch'' in English ** Pennsylvania Dutch, a group of early Germanic immigrants to Pennsylvania *Dutch people, the Germanic group native to the Netherlands Specific people * Dutch (nickname), a list of people * Johnny Dutch (born 1989), American hurdler * Dutch Schultz (1902–1935), American mobster born Arthur Simon Flegenheimer * Dutch Mantel, ring name of American retired professional wrestler Wayne Maurice Keown (born 1949) * Dutch Savage, ring name of professional wrestler and promoter Frank Stewart (1935–2013) Arts, entertainment, and media Fictional characters * Dutch (Black Lagoon), Dutch (''Black Lagoon''), an African-American character from the Japanese mang ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
