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The use of found objects in modern classical music is often connected to experiments in indeterminacy and aleatoric music by such composers as John Cage and Karlheinz Stockhausen. However, it has reached its ascendancy in those areas of popular music as well, such as the ambient works of Brian Eno. In Eno's influential work, found objects are ...
Quasicrystals were also being used to develop heat insulation, LEDs, diesel engines, and new materials that convert heat to electricity. Shechtman suggested new applications taking advantage of the low coefficient of friction and the hardness of some quasicrystalline materials, for example embedding particles in plastic to make strong, hard ...
Some definitions refer to music as a score, or a composition: [18] [7] [19] music can be read as well as heard, and a piece of music written but never played is a piece of music notwithstanding. According to Edward E. Gordon the process of reading music , at least for trained musicians, involves a process, called "inner hearing" or "audiation ...
An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings. The Penrose tilings are a well-known example of aperiodic tilings. [1] [2]
Diagram of a typical period consisting of two phrases [5] [6] [7]. In Western art music or Classical music, a period is a group of phrases consisting usually of at least one antecedent phrase and one consequent phrase totaling about 8 bars in length (though this varies depending on meter and tempo).
It is used as the starting point for subtractive synthesis, as a sawtooth wave of constant period contains odd and even harmonics that decrease at −6 dB/octave. The Fourier series describes the decomposition of periodic waveforms, such that any periodic waveform can be formed by the sum of a (possibly infinite) set of fundamental and harmonic ...
A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic . [ 3 ] The tilings obtained from an aperiodic set of tiles are often called aperiodic tilings , though strictly speaking it is the tiles themselves that are ...
The term "through-composed" is also applied to opera and musical theater to indicate a work that consists of an uninterrupted stream of music from beginning to end, as in the operas of Wagner. This stands in contrast to the practice, as for example occurs in Mozart's Italian - and German-language operas, of having a collection of songs ...