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Harmonic Scale
The harmonic scale is a "super-just" musical scale allowing extended just intonation, beyond 5- limit to the 19th harmonic (), and free modulation through the use of synthesizers. Transpositions and tuning tables are controlled by the left hand on the appropriate note on a one-octave keyboard.Milano, Dominic (November 1986)"A Many-Colored Jungle of Exotic Tunings" ''Keyboard''. For example, if the harmonic scale is tuned to a fundamental of C, then harmonics 16–32 are as follows: Some harmonics are not included: 23, 25, 29, & 31. The 21st is a natural seventh above G, but not a great interval above C, and the 27th is a just fifth above D. It was invented by Wendy Carlos and used on three pieces on her album ''Beauty in the Beast'' (1986): ''Just Imaginings'', ''That's Just It'', and ''Yusae-Aisae''. Versions of the scale have also been used by Ezra Sims, Franz Richter Herf and Gosheven. Number of notes Though described by Carlos as containing " 144 122distin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Series Klang
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] |
Wendy Carlos
Wendy Carlos (born Walter Carlos, November 14, 1939) is an American musician and composer best known for her electronic music and film scores. Born and raised in Rhode Island, Carlos studied physics and music at Brown University before moving to New York City in 1962 to study music composition at Columbia University. Studying and working with various electronic musicians and technicians at the city's Columbia-Princeton Electronic Music Center, she helped in the development of the Moog synthesizer, Robert Moog's first commercially available keyboard instrument. Carlos came to prominence with ''Switched-On Bach'' (1968), an album of music by Johann Sebastian Bach performed on a Moog synthesizer, which helped popularize its use in the 1970s and won her three Grammy Awards. Its commercial success led to several more albums, including further synthesized classical music adaptations, and experimental and ambient music. She composed the score to two Stanley Kubrick films – ''A Cloc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chromaticism
Chromaticism is a compositional technique interspersing the primary diatonic scale, diatonic pitch (music), pitches and chord (music), chords with other pitches of the chromatic scale. In simple terms, within each octave, diatonic music uses only seven different notes, rather than the twelve available on a standard piano keyboard. Music is chromatic when it uses more than just these seven notes. Chromaticism is in contrast or addition to tonality or diatonic and chromatic, diatonicism and modality (music), modality (the major scale, major and minor scale, minor, or "white key", scales). Chromatic elements are considered, "elaborations of or substitutions for diatonic scale members".Matthew Brown; Schenker, "The Diatonic and the Chromatic in Schenker's "Theory of Harmonic Relations", ''Journal of Music Theory'', Vol. 30, No. 1 (Spring 1986), pp. 1–33, citation on p. 1. Development of chromaticism Chromaticism began to develop in the late Renaissance music, Renaissance p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19-limit Tuning And Intervals
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 commo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Octave
In music, an octave ( la, octavus: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music," the use of which is "common in most musical systems." The interval between the first and second harmonics of the harmonic series is an octave. In Western music notation, notes separated by an octave (or multiple octaves) have the same name and are of the same pitch class. To emphasize that it is one of the perfect intervals (including unison, perfect fourth, and perfect fifth), the octave is designated P8. Other interval qualities are also possible, though rare. The octave above or below an indicated note is sometimes abbreviated ''8a'' or ''8va'' ( it, all'ottava), ''8va bassa'' ( it, all'ottava bassa, sometimes also ''8vb''), or simply ''8'' for the octave in the direction indicated by placing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Note (music)
In music, a note is the representation of a musical sound. Notes can represent the pitch and duration of a sound in musical notation. A note can also represent a pitch class. Notes are the building blocks of much written music: discretizations of musical phenomena that facilitate performance, comprehension, and analysis. The term ''note'' can be used in both generic and specific senses: one might say either "the piece 'Happy Birthday to You' begins with two notes having the same pitch", or "the piece begins with two repetitions of the same note". In the former case, one uses ''note'' to refer to a specific musical event; in the latter, one uses the term to refer to a class of events sharing the same pitch. (See also: Key signature names and translations.) Two notes with fundamental frequencies in a ratio equal to any integer power of two (e.g., half, twice, or four times) are perceived as very similar. Because of that, all notes with these kinds of relations can be groupe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Triangular Number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in the triangular arrangement with dots on each side, and is equal to the sum of the natural numbers from 1 to . The sequence of triangular numbers, starting with the 0th triangular number, is (This sequence is included in the On-Line Encyclopedia of Integer Sequences .) Formula The triangular numbers are given by the following explicit formulas: T_n= \sum_^n k = 1+2+3+ \dotsb +n = \frac = , where \textstyle is a binomial coefficient. It represents the number of distinct pairs that can be selected from objects, and it is read aloud as " plus one choose two". The first equation can be illustrated using a visual proof. For every triangular number T_n, imagine a "half-square" arrangement of objects corresponding to the triangular numb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square Number
In mathematics, a square number or perfect square is an integer that is the square (algebra), square of an integer; in other words, it is the multiplication, product of some integer with itself. For example, 9 is a square number, since it equals and can be written as . The usual notation for the square of a number is not the product , but the equivalent exponentiation , usually pronounced as " squared". The name ''square'' number comes from the name of the shape. The unit of area is defined as the area of a unit square (). Hence, a square with side length has area . If a square number is represented by ''n'' points, the points can be arranged in rows as a square each side of which has the same number of points as the square root of ''n''; thus, square numbers are a type of figurate numbers (other examples being Cube (algebra), cube numbers and triangular numbers). Square numbers are non-negative. A non-negative integer is a square number when its square root is again an intege ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ezra Sims
Ezra Sims (January 16, 1928 in Birmingham, Alabama — January 30, 2015 in Boston, Massachusetts) was one of the pioneers in the field of microtonal composition. He invented a system of notation that was adopted by many microtonal composers after him, including Joseph Maneri. His professional debut (12 note ET music) occurred on a Composers Forum program in New York, 1959. In 1960, compelled by his ear, he began writing microtonal music, and continued to do so for the rest of his life, with the occasional exception being taped music for dancers. His last composition in quarter tones (his sixth microtonal one) was his ''Third Quartet'' (1962). Since 1971, whatever music he has composed that is not purely electronic has employed a system of asymmetrical modes of 18 pitches per octave, drawn from a 72-note division of the octave. I seem finally to have identified and made transcribable what my ear was after all along: a set of pitches ordered in an asymmetrical scale of 18 (or 19 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beauty In The Beast
''Beauty in the Beast'' is a studio album from the American keyboardist and composer Wendy Carlos, released in 1986, on Audion Records, her first for a label other than Columbia Records since 1968. The album uses alternate musical tunings and scales, influenced by jazz and world music. On the back she includes a quote by Van Gogh: "I am always doing what I cannot do yet, in order to learn how to do it." As the liner notes state, the entire album is synthesized, meaning that "All the music and sounds heard on this recording were directly digitally generated. This eliminates all the limitations of microphones, the weak link necessary in nearly all other digital recording In digital recording, an audio or video signal is converted into a stream of discrete numbers representing the changes over time in air pressure for audio, or chroma and luminance values for video. This number stream is saved to a storag ...s, including those that use ' sampling' technologies."Carlos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Scale Chromatic On C And G
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] |
Harmonic Series Klang G
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] |
