Miracle Temperament
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Miracle Temperament
George Secor (November 8, 1943 – March 2, 2020) was an American musician, composer and music-theorist from Chicago. He was the discoverer of #Miracle temperament, miracle temperament and eponym of the #Secor, secor. As an inventor, Secor and Hermann Pedtke's ''Motorola Scalatron'' (1974) is an example of a Bosanquet generalized keyboard featuring a multicolored arrangement of 240 tunable oval keys, about which Secor said: "There is not much point in using this alternative keyboard for systems below 31 tones in the octave."Vail, Mark (2000). ''9780879306038'', p.101. Backbeat Books. . However, "even if it were completely impractical musically, it would make a wonderful prop for a futuristic movie." Though its synthesizer capacities may not reach performance level, according to Easley Blackwood, Jr., Easley Blackwood, "It has rock-steady tuning capabilities; you can always count on it to be right." George demonstrating the micro-tonal keyboard instrument can be seen in thidemonstra ...
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Miracle Temperament
George Secor (November 8, 1943 – March 2, 2020) was an American musician, composer and music-theorist from Chicago. He was the discoverer of #Miracle temperament, miracle temperament and eponym of the #Secor, secor. As an inventor, Secor and Hermann Pedtke's ''Motorola Scalatron'' (1974) is an example of a Bosanquet generalized keyboard featuring a multicolored arrangement of 240 tunable oval keys, about which Secor said: "There is not much point in using this alternative keyboard for systems below 31 tones in the octave."Vail, Mark (2000). ''9780879306038'', p.101. Backbeat Books. . However, "even if it were completely impractical musically, it would make a wonderful prop for a futuristic movie." Though its synthesizer capacities may not reach performance level, according to Easley Blackwood, Jr., Easley Blackwood, "It has rock-steady tuning capabilities; you can always count on it to be right." George demonstrating the micro-tonal keyboard instrument can be seen in thidemonstra ...
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Miracle Scale
George Secor (November 8, 1943 – March 2, 2020) was an American musician, composer and music-theorist from Chicago. He was the discoverer of miracle temperament and eponym of the secor. As an inventor, Secor and Hermann Pedtke's ''Motorola Scalatron'' (1974) is an example of a Bosanquet generalized keyboard featuring a multicolored arrangement of 240 tunable oval keys, about which Secor said: "There is not much point in using this alternative keyboard for systems below 31 tones in the octave."Vail, Mark (2000). ''9780879306038'', p.101. Backbeat Books. . However, "even if it were completely impractical musically, it would make a wonderful prop for a futuristic movie." Though its synthesizer capacities may not reach performance level, according to Easley Blackwood, "It has rock-steady tuning capabilities; you can always count on it to be right." George demonstrating the micro-tonal keyboard instrument can be seen in thidemonstration video George was also an accomplished musician ...
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Linear Temperaments
Linearity is the property of a mathematical relationship (''function'') that can be graphically represented as a straight line. Linearity is closely related to '' proportionality''. Examples in physics include rectilinear motion, the linear relationship of voltage and current in an electrical conductor (Ohm's law), and the relationship of mass and weight. By contrast, more complicated relationships are ''nonlinear''. Generalized for functions in more than one dimension, linearity means the property of a function of being compatible with addition and scaling, also known as the superposition principle. The word linear comes from Latin ''linearis'', "pertaining to or resembling a line". In mathematics In mathematics, a linear map or linear function ''f''(''x'') is a function that satisfies the two properties: * Additivity: . * Homogeneity of degree 1: for all α. These properties are known as the superposition principle. In this definition, ''x'' is not necessarily a real n ...
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American Composers
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soccer * ...
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American Male Composers
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soccer * ...
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Commas (music)
The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the " rough" and "smooth breathings" () appear above the letter. In Latvi ...
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Joseph Pehrson
Joseph Pehrson (August 14, 1950 – April 4, 2020) was an American composer and pianist. Life Pehrson comes from Detroit, Michigan. He studied at the University of Michigan and Eastman School of Music. (D.M.A. 1981). His teachers include Leslie Bassett, Joseph Schwantner, Otto Luening and Elie Siegmeister. From 1992 to 1993 he was composer-in-residence at the University of Akron. Since 1983 he served as co-director of the Composers Concordance in New York City.Europa Publications (2003). ''International Who's Who in Classical Music 2003''. London: Routledge. . pp. 602. He mostly wrote pieces for orchestral and chamber music. His compositions have been performed at Merkin Concert Hall, Carnegie Hall and Symphony Space. Concerts were held in Eastern Europe and Russia. Recently, he was working with the German Ensemble Sortisatio Ensemble Sortisatio is a quartet (viola, oboe/cor anglais, bassoon and guitar) founded by violist Matthias Sannemüller in 1992 in Leipzig, German ...
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Distributionally Even Scale
In scale (music) theory, a maximally even set (scale) is one in which every generic interval has either one or two consecutive integers specific intervals-in other words a scale whose notes (pcs) are "spread out as much as possible." This property was first described by John Clough and Jack Douthett. Clough and Douthett also introduced the maximally even algorithm. For a chromatic cardinality ''c'' and pc-set cardinality ''d'' a maximally even set is D = where ''k'' ranges from 0 to ''d'' − 1 and ''m'', 0 ≤ ''m'' ≤ ''c'' − 1 is fixed and the bracket pair is the floor function. A discussion on these concepts can be found in Timothy Johnson's book on the mathematical foundations of diatonic scale theory. Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature. A scale is said to have Myhill's property if every generic interval comes in two specific interval sizes, and a scale with Myhill's property is said to be a well-formed scale. ...
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Ragisma
In music and tuning, the ragisma is an interval with the ratio of 4375:4374,Haluska, Jan (2003). ''The Mathematical Theory of Tone Systems'', p.xxviii. . ≈0.396 cents (a superparticular ratio). It is usually defined as the difference between the septimal minor third (7:6) and two Bohlen–Pierce small semitones (27:25 ). It is also the difference between minor Bohlen–Pierce diesis (245:243) and septimal semicomma (126:125), as well as the difference between the septimal third tone (28:27) and the greater diesis In classical music from Western culture, a diesis ( , plural dieses ( , "difference"; Ancient Greek, Greek: δίεσις "leak" or "escape"Benson, Dave (2006). ''Music: A Mathematical Offering'', p.171. . Based on the technique of playing the ... (648:625). () References {{Intervals, state=expanded 7-limit tuning and intervals Commas (music) 4375:4374 ...
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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 ...
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Limit (music)
In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term ''limit'' was introduced by Harry Partch, who used it to give an upper bound on the complexity of harmony; hence the name. The harmonic series and the evolution of music Harry Partch, Ivor Darreg, and Ralph David Hill are among the many microtonalists to suggest that music has been slowly evolving to employ higher and higher harmonics in its constructs (see emancipation of the dissonance). In medieval music, only chords made of octaves and perfect fifths (involving relationships among the first three harmonics) were considered consonant. In the West, triadic harmony arose (contenance angloise) around the time of the Renaissance, and triads quickly became the fundamental building blocks of Western music. The major and minor thirds of these triads invoke relationships among the first five harmonic ...
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7-limit
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 septimal ...
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