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An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave into steps such that the ratio of the frequencies of any adjacent pair of notes is the same. This system yields pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency.
In music, there are two common meanings for tuning:
Program, programme, programmer, or programming may refer to:
Meantone temperaments are musical temperaments; that is, a variety of tuning systems constructed, similarly to Pythagorean tuning, as a sequence of equal fifths, both rising and descending, scaled to remain within the same octave. But rather than using perfect fifths, consisting of frequency ratios of value , these are tempered by a suitable factor that narrows them to ratios that are slightly less than , in order to bring the major or minor thirds closer to the just intonation ratio of or , respectively. A regular temperament is one in which all the fifths are chosen to be of the same size.
Computer engineering is a branch of electrical engineering that integrates several fields of electrical engineering, electronics engineering and Computer Science required to develop computer hardware and software. Computer engineering is referred to as Electrical and Computer engineering OR Computer Science and Engineering at some universities
Microtonality is the use in music of microtones — intervals smaller than a semitone, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western tuning of twelve equal intervals per octave. In other words, a microtone may be thought of as a note that falls "between the keys" of a piano tuned in equal temperament.
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Xenharmonic music is music that uses a tuning system that is unlike the 12-tone equal temperament scale. It was named by Ivor Darreg, from the Greek Xenos meaning both foreign and hospitable. He stated that it was "intended to include just intonation and such temperaments as the 5-, 7-, and 11-tone, along with the higher-numbered really-microtonal systems as far as one wishes to go."
A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide as a semitone, which itself is half a whole tone. Quarter tones divide the octave by 50 cents each, and have 24 different pitches.
Piano tuning is the process of adjusting the tension of the strings of an acoustic piano so that the musical intervals between strings are in tune. The meaning of the term 'in tune', in the context of piano tuning, is not simply a particular fixed set of pitches. Fine piano tuning requires an assessment of the vibration interaction among notes, which is different for every piano, thus in practice requiring slightly different pitches from any theoretical standard. Pianos are usually tuned to a modified version of the system called equal temperament.
A sound module is an electronic musical instrument without a human-playable interface such as a piano-style musical keyboard. Sound modules have to be operated using an externally connected device, which is often a MIDI controller, of which the most common type is the musical keyboard. Another common way of controlling a sound module is through a sequencer, which is computer hardware or software designed to record and playback control information for sound-generating hardware. Connections between sound modules, controllers, and sequencers are generally made with MIDI, which is a standardized interface designed for this purpose.
In music, 72 equal temperament, called twelfth-tone, 72-TET, 72-EDO, or 72-ET, is the tempered scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps. Each step represents a frequency ratio of 72√2, or 16+2⁄3 cents, which divides the 100 cent "halftone" into 6 equal parts and is thus a "twelfth-tone". Since 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72, 72-EDO includes all those equal temperaments. Since it contains so many temperaments, 72-EDO contains at the same time tempered semitones, third-tones, quartertones and sixth-tones, which makes it a very versatile temperament.
12 equal temperament (12-ET) is the musical system that divides the octave into 12 parts, all of which are equally tempered on a logarithmic scale, with a ratio equal to the 12th root of 2. That resulting smallest interval, 1⁄12 the width of an octave, is called a semitone or half step.
A microtuner or microtonal tuner is an electronic device or software program designed to modify and test the tuning of musical instruments with microtonal precision, allowing for the design and construction of microtonal scales and just intonation scales, and for tuning intervals that may differ from those of common Western equal temperament. The term also indicates a high-precision mechanical tuning device found on some vintage Conn brand brass and reed instruments. These were first introduced with their 1918 catalog and manufactured until about 1954. Such devices were also offered with some vintage saxophones manufactured in Europe by Beaugnier, Dolnet, Hüller, Keilwerth and other famous makers in the same period.
In music, an electronic tuner is a device that detects and displays the pitch of musical notes played on a musical instrument. "Pitch" is the perceived fundamental frequency of a musical note, which is typically measured in Hertz. Simple tuners indicate—typically with an analog needle or dial, LEDs, or an LCD screen—whether a pitch is lower, higher, or equal to the desired pitch. Since the early 2010s, software applications can turn a smartphone, tablet, or personal computer into a tuner. More complex and expensive tuners indicate pitch more precisely. Tuners vary in size from units that fit in a pocket to 19" rack-mount units. Instrument technicians and piano tuners typically use more expensive, accurate tuners.
Twelve Microtonal Etudes for Electronic Music Media, Op. 28, is a set of pieces in various microtonal equal temperaments composed and released on LP in 1980 by American composer Easley Blackwood Jr.
Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.
Zhu Zaiyu was a Chinese scholar, mathematician and music theorist. He was a prince of the Chinese Ming dynasty. In 1584, Zhu innovatively described the equal temperament via accurate mathematical calculation.
Mayer Joel Mandelbaum is an American music composer and teacher, best known for his use of microtonal tuning. He wrote the first Ph.D. dissertation on microtonality in 1961. He is married to stained glass artist Ellen Mandelbaum, and is the nephew of Abraham Edel.
Generalized keyboards are musical keyboards, a type of isomorphic keyboard, with regular, tile-like arrangements usually with rectangular or hexagonal keys, and were developed for performing music in different tunings. They were introduced by Robert Bosanquet in the 1870s, and since the 1960s Erv Wilson has developed new methods of using and expanding them, proposing keyboard layouts including any scale made of a single generator within an "octave" of any size.
References
- ↑ Cummings, David (2000). International who's who in music and musicians' directory: (in the classical and light classical fields) (17th ed.). Routledge. p. 206. ISBN 0-948875-53-4.
- ↑ Harold Fortuin: “A Modern, Compact Implementation of the Parameterized Factory Design Pattern”, in Journal of Object Technology, vol. 9, no. 1, January–February 2010.
