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Dynamic Tonality
Dynamic tonality is a paradigm for tuning and timbre which generalizes the special relationship between just intonation and the harmonic series to apply to a wider set of pseudo-just tunings and related pseudo-harmonic timbres.Duffin, R.W., 2006''How Equal Temperament Ruined Harmony (and Why You Should Care)''/ref> This misalignment, in any tuning that is not fully Just (and hence infinitely complex), is the defining characteristic of the Static Timbre Paradigm. Instruments Many of the pseudo-just temperaments proposed during this "temperament battle" were rank-2 (two-dimensional)—such as quarter-comma meantone—that provided more than 12 notes per octave. However, the standard piano-like keyboard is only rank-1 (one-dimensional), affording at most 12 notes per octave. Piano-like keyboards affording more than 12 notes per octave were developed by Vicentino, Colonna, Mersenne, Huygens, and Newton, but were deemed cumbersome and difficult to learn. The dynamic tonality para ...
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Paradigm
In science and philosophy, a paradigm () is a distinct set of concepts or thought patterns, including theories, research methods, postulates, and standards for what constitute legitimate contributions to a field. Etymology ''Paradigm'' comes from Greek παράδειγμα (''paradeigma''), "pattern, example, sample" from the verb παραδείκνυμι (''paradeiknumi''), "exhibit, represent, expose" and that from παρά (''para''), "beside, beyond" and δείκνυμι (''deiknumi''), "to show, to point out". In classical (Greek-based) rhetoric, a paradeigma aims to provide an audience with an illustration of a similar occurrence. This illustration is not meant to take the audience to a conclusion, however it is used to help guide them get there. One way of how a ''paradeigma'' is meant to guide an audience would be exemplified by the role of a personal accountant. It is not the job of a personal accountant to tell a client exactly what (and what not) to spend money on ...
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Map (mathematics)
In mathematics, a map or mapping is a function in its general sense. These terms may have originated as from the process of making a geographical map: ''mapping'' the Earth surface to a sheet of paper. The term ''map'' may be used to distinguish some special types of functions, such as homomorphisms. For example, a linear map is a homomorphism of vector spaces, while the term linear function may have this meaning or it may mean a linear polynomial. In category theory, a map may refer to a morphism. The term ''transformation'' can be used interchangeably, but ''transformation'' often refers to a function from a set to itself. There are also a few less common uses in logic and graph theory. Maps as functions In many branches of mathematics, the term ''map'' is used to mean a function, sometimes with a specific property of particular importance to that branch. For instance, a "map" is a " continuous function" in topology, a "linear transformation" in linear algebra, etc. Some ...
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Dynamic Tonality
Dynamic tonality is a paradigm for tuning and timbre which generalizes the special relationship between just intonation and the harmonic series to apply to a wider set of pseudo-just tunings and related pseudo-harmonic timbres.Duffin, R.W., 2006''How Equal Temperament Ruined Harmony (and Why You Should Care)''/ref> This misalignment, in any tuning that is not fully Just (and hence infinitely complex), is the defining characteristic of the Static Timbre Paradigm. Instruments Many of the pseudo-just temperaments proposed during this "temperament battle" were rank-2 (two-dimensional)—such as quarter-comma meantone—that provided more than 12 notes per octave. However, the standard piano-like keyboard is only rank-1 (one-dimensional), affording at most 12 notes per octave. Piano-like keyboards affording more than 12 notes per octave were developed by Vicentino, Colonna, Mersenne, Huygens, and Newton, but were deemed cumbersome and difficult to learn. The dynamic tonality para ...
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Bayan (accordion)
The bayan ( rus, бая́н, p=bɐˈjan) is a type of chromatic button accordion developed in the Russian Empire in the early 20th century and named after the 11th-century bard Boyan. Characteristics The bayan differs from western chromatic button accordions in some details of construction: * Reeds are broader and rectangular (rather than trapezoidal). * Reeds are often attached in large groups to a common plate (rather than in pairs); the plates are screwed to the reed block (rather than attached with wax). * The melody-side keyboard is attached near the middle of the body (rather than at the rear). * Reeds are generally not tuned with tremolo. * Register switches may be operated with the chin on some larger models (also possible with some larger European button accordions). * The diminished chord row is shifted, so that the diminished G chord is where one would expect the diminished C chord in the Stradella bass system. * Converter switches that go from standard preset c ...
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Bandoneon
The bandoneon (or bandonion, es, bandoneón) is a type of concertina particularly popular in Argentina and Uruguay. It is a typical instrument in most tango ensembles. As with other members of the concertina family, the bandoneon is held between the hands, and by pulling and pushing actions force air through bellows and then routing air through particular reeds as by pressing the instrument's buttons. Bandoneons have a different sound from accordions, because bandoneons do not usually have the register switches that are common on accordions. Nevertheless, the tone of the bandoneon can be changed a great deal using varied bellows pressure and overblowing, thus creating potential for expressive playing and diverse timbres. History The Bandonion, so named by the German instrument dealer Heinrich Band (1821–1860), was originally intended as an instrument for religious and popular music of the day, in contrast to its predecessor, German concertina (), which had predominantly b ...
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Concertina
A concertina is a free-reed musical instrument, like the various accordions and the harmonica. It consists of expanding and contracting bellows, with buttons (or keys) usually on both ends, unlike accordion buttons, which are on the front. The concertina was developed independently in both England and Germany. The English version was invented in 1829 by Sir Charles Wheatstone, while Carl Friedrich Uhlig introduced the German version five years later, in 1834. Various forms of concertini are used for classical music, for the traditional musics of Ireland, England, and South Africa, and for tango and polka music. Systems The word ''concertina'' refers to a family of hand-held bellows-driven free reed instruments constructed according to various ''systems'', which differ in terms of keyboard layout, and whether individual buttons (keys) produce the same ( unisonoric) or different ( bisonoric) notes with changes in the direction of air pressure. Because the concertina was deve ...
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Chromatic Button Accordion
A chromatic button accordion is a type of button accordion where the melody-side keyboard consists of rows of buttons arranged chromatically. The bass-side keyboard is usually the Stradella system or one of the various free-bass systems. Included among chromatic button accordions are the Russian bayan and Schrammel accordion. There can be 3 to 5 rows of vertical treble buttons. In a 5 row chromatic, two additional rows repeat the first 2 rows to facilitate options in fingering. Comparing the layout to the piano accordion,Dan Lindgren, Piano Accordion vs. Chromatic Button AccordioOnline PDF/ref> the advantages of a chromatic button accordion are the greater range and better fingering options.The uniform layout allows for uniform fingering and making of chords; meanwhile, the chromatic button layout also allows for alternative fingerings. As the buttons are closer, it is also easier to reach notes that are far apart, such as two octaves apart. On the other hand, some finge ...
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Isomorphic Keyboard
An isomorphic keyboard is a musical input device consisting of a two-dimensional grid of note-controlling elements (such as buttons or keys) on which any given sequence and/or combination of musical intervals has the "same shape" on the keyboard wherever it occurs – within a key, across keys, across octaves, and across tunings. Examples Helmholtz's 1863 book ''On the Sensations of Tone'' gave several possible layouts. Practical isomorphic keyboards were developed by Bosanquet (1875), Janko (1882), Wicki (1896), Fokker (1951), Erv Wilson (1975–present), William Wesley (2001), and Antonio Fernández (2009). Accordions have been built since the 19th century using various isomorphic keyboards, typically with dimensions of semitones and tones. The keyboards of Bosanquet and Erv Wilson are also known as generalized keyboards. The keyboard of Antonio Fernández is also known as Transclado. The Ragzpole is a recently developed cylindrical MIDI controller having dimensions in fift ...
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Comma (music)
In music theory, a comma is a very small interval, the difference resulting from tuning one note two different ways. Strictly speaking, there are only two kinds of comma, the syntonic comma, "the difference between a just major 3rd and four just perfect 5ths less two octaves", and the Pythagorean comma, "the difference between twelve 5ths and seven octaves". The word ''comma'' used without qualification refers to the syntonic comma, which can be defined, for instance, as the difference between an F tuned using the D-based Pythagorean tuning system, and another F tuned using the D-based quarter-comma meantone tuning system. Intervals separated by the ratio 81:80 are considered the same note because the 12-note Western chromatic scale does not distinguish Pythagorean intervals from 5-limit intervals in its notation. Other intervals are considered commas because of the enharmonic equivalences of a tuning system. For example, in 53TET, B and A are both approximated by the same inte ...
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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' ...
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Affordance
Affordance is what the environment offers the individual. American psychologist James J. Gibson coined the term in his 1966 book, ''The Senses Considered as Perceptual Systems'', and it occurs in many of his earlier essays. However, his best-known definition is taken from his seminal 1979 book, ''The Ecological Approach to Visual Perception'': The word is used in a variety of fields: perceptual psychology, cognitive psychology, environmental psychology, criminology, industrial design, human–computer interaction (HCI), interaction design, user-centered design, communication studies, instructional design, science, technology and society (STS), sports science and artificial intelligence. Original development Gibson developed the concept of affordance over many years, culminating in his final book, ''The Ecological Approach to Visual Perception'' in 1979. He defined an affordance as what the environment provides or furnishes the animal. Notably, Gibson compares an affordance wit ...
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Musical Keyboard
A musical keyboard is the set of adjacent depressible levers or keys on a musical instrument. Keyboards typically contain keys for playing the twelve notes of the Western musical scale, with a combination of larger, longer keys and smaller, shorter keys that repeats at the interval of an octave. Pressing a key on the keyboard makes the instrument produce sounds—either by mechanically striking a string or tine ( acoustic and electric piano, clavichord), plucking a string ( harpsichord), causing air to flow through a pipe organ, striking a bell (carillon), or, on electric and electronic keyboards, completing a circuit (Hammond organ, digital piano, synthesizer). Since the most commonly encountered keyboard instrument is the piano, the keyboard layout is often referred to as the ''piano keyboard''. Description The twelve notes of the Western musical scale are laid out with the lowest note on the left. The longer keys (for the seven "natural" notes of the C major scale: C, D, E ...
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