Horațiu Rădulescu
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Horațiu Rădulescu
Horațiu Rădulescu (; 7 January 1942 – 25 September 2008) was a Romanian-French composer, best known for the Spectral music, spectral technique of composition. Life Rădulescu was born in Bucharest, where he studied the violin privately with Nina Alexandrescu, a pupil of George Enescu and Jacques Thibaud, and later studied composition at the Bucharest Academy of Music (MA 1969), where his teachers included Ștefan Niculescu, Stefan Niculescu, Tiberiu Olah and Aurel Stroe, some of the leading figures of the emerging Avant-garde music, avant-garde. Upon graduation in 1969 Rădulescu left Romania for the west, and settled in Paris, becoming a French citizen in 1974. He returned to Romania thereafter several times for visits, beginning in 1991 when he directed a performance of his ''Iubiri'', the first public performance of any of his mature works in his native country. (Rădulescu nonetheless commented that in the interim he had dedicated many of his works to a "virtual and sublim ...
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Spectral Music
Spectral music uses the acoustic properties of sound – or sound spectra – as a basis for composition. Definition Defined in technical language, spectral music is an acoustic musical practice where compositional decisions are often informed by sonographic representations and mathematical analysis of sound spectra, or by mathematically generated spectra. The spectral approach focuses on manipulating the spectral features, interconnecting them, and transforming them. In this formulation, computer-based sound analysis and representations of audio signals are treated as being analogous to a timbral representation of sound. The (acoustic-composition) spectral approach originated in France in the early 1970s, and techniques were developed, and later refined, primarily at IRCAM, Paris, with the Ensemble l'Itinéraire, by composers such as Gérard Grisey and Tristan Murail. Hugues Dufourt is commonly credited for introducing the term ''musique spectrale'' (spectral music) in an ar ...
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Versailles (city)
Versailles () is a commune in the department of the Yvelines, Île-de-France, renowned worldwide for the Château de Versailles and the gardens of Versailles, designated UNESCO World Heritage Sites. Located in the western suburbs of the French capital, from the centre of Paris, Versailles is a wealthy suburb of Paris with a service-based economy and is a major tourist destination. According to the 2017 census, the population of the city is 85,862 inhabitants, down from a peak of 94,145 in 1975.Population en historique depuis 1968
INSEE
A new town founded at the will of King , Versai ...
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Tao Te Ching
The ''Tao Te Ching'' (, ; ) is a Chinese classic text written around 400 BC and traditionally credited to the sage Laozi, though the text's authorship, date of composition and date of compilation are debated. The oldest excavated portion dates back to the late 4th century BC, but modern scholarship dates other parts of the text as having been written—or at least compiled—later than the earliest portions of the ''Zhuangzi''. The ''Tao Te Ching'', along with the ''Zhuangzi'', is a fundamental text for both philosophical and religious Taoism. It also strongly influenced other schools of Chinese philosophy and religion, including Legalism, Confucianism, and Chinese Buddhism, which was largely interpreted through the use of Taoist words and concepts when it was originally introduced to China. Many artists, including poets, painters, calligraphers, and gardeners, have used the ''Tao Te Ching'' as a source of inspiration. Its influence has spread widely out and it is one of ...
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Scordatura
Scordatura (; literally, Italian for "discord", or "mistuning") is a tuning of a string instrument that is different from the normal, standard tuning. It typically attempts to allow special effects or unusual chords or timbre, or to make certain passages easier to play. It is common to notate the finger position as if played in regular tuning, while the actual pitch resulting is altered (scordatura notation). When all the strings are tuned by the same interval up or down, as in the case of the viola in Mozart's ''Sinfonia Concertante for Violin, Viola and Orchestra'', the part is transposed as a whole. Bowed string instruments The invention of scordatura tuning has been attributed to Thomas Baltzar, a prodigious German violinist and composer who is known to have used the technique in around the 1660s, at least a decade before Biber composed his ''Rosary Sonatas'' in which he employed the tuning technique. Of course, German violinist Hans Hake (1628 – after 1667) includes three ...
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Fundamental (music)
The fundamental frequency, often referred to simply as the ''fundamental'', is defined as the lowest frequency of a periodic waveform. In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. In terms of a superposition of sinusoids, the fundamental frequency is the lowest frequency sinusoidal in the sum of harmonically related frequencies, or the frequency of the difference between adjacent frequencies. In some contexts, the fundamental is usually abbreviated as 0, indicating the lowest frequency counting from zero. In other contexts, it is more common to abbreviate it as 1, the first harmonic. (The second harmonic is then 2 = 2⋅1, etc. In this context, the zeroth harmonic would be 0  Hz.) According to Benward's and Saker's ''Music: In Theory and Practice'': Explanation All sinusoidal and many non-sinusoidal waveforms repeat exactly over time – they are periodic. The period of a waveform is the smallest value of T ...
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Combination Tone
A combination tone (also called resultant or subjective tone)Combination Tone
, ''Britannica.com''. Accessed September 2015.
is a phenomenon of an additional tone or tones that are artificially perceived when two real tones are sounded at the same time. Their discovery is credited to the violinist (although he was not the first, see ) and so they are also c ...
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Partial (music)
A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a ''fundamental frequency''. Pitched musical instruments are often based on an acoustic resonator such as a string or a column of air, which oscillates at numerous modes simultaneously. At the frequencies of each vibrating mode, waves travel in both directions along the string or air column, reinforcing and canceling each other to form standing waves. Interaction with the surrounding air causes audible sound waves, which travel away from the instrument. Because of the typical spacing of the resonances, these frequencies are mostly limited to integer multiples, or harmonics, of the lowest frequency, and such multiples form the harmonic series. The musical pitch of a note is usually perceived as the lowest partial present (the fundamental frequency), which may be the one created by vibration over the full length of the string or air column ...
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Harmonic Spectrum
A harmonic spectrum is a spectrum containing only frequency components whose frequencies are whole number multiples of the fundamental frequency; such frequencies are known as harmonics. "The individual partials are not heard separately but are blended together by the ear into a single tone."Benward, Bruce and Saker, Marilyn (1997/2003). ''Music: In Theory and Practice'', Vol. I, p.xiii. Seventh edition. McGraw-Hill. . In other words, if \omega is the fundamental frequency, then a harmonic spectrum has the form :\. A standard result of Fourier analysis is that a function has a harmonic spectrum if and only if it is periodic. See also * Fourier series * Harmonic series (music) * Periodic function * Scale of harmonics * Undertone series In music, the undertone series or subharmonic series is a sequence of notes that results from inverting the intervals of the overtone series. While overtones naturally occur with the physical production of music on instruments, undertones mus ...
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Texture (music)
In music, texture is how the tempo, melodic, and harmonic materials are combined in a musical composition, determining the overall quality of the sound in a piece. The texture is often described in regard to the density, or thickness, and range, or width, between lowest and highest pitches, in relative terms as well as more specifically distinguished according to the number of voices, or parts, and the relationship between these voices (see Common types below). For example, a thick texture contains many 'layers' of instruments. One of these layers could be a string section or another brass. The thickness also is changed by the amount and the richness of the instruments playing the piece. The thickness varies from light to thick. A piece's texture may be changed by the number and character of parts playing at once, the timbre of the instruments or voices playing these parts and the harmony, tempo, and rhythms used. The types categorized by number and relationship of parts are an ...
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Heterophony
In music, heterophony is a type of texture characterized by the simultaneous variation of a single melodic line. Such a texture can be regarded as a kind of complex monophony in which there is only one basic melody, but realized at the same time in multiple voices, each of which plays the melody differently, either in a different rhythm or tempo, or with various embellishments and elaborations. The term was initially introduced into systematic musicology to denote a subcategory of polyphonic music, though is now regarded as a textural category in its own right. Characteristics Heterophony is often a characteristic feature of non-Western traditional musics—for example Ottoman classical music, Arabic classical music, Japanese Gagaku, the gamelan music of Indonesia, kulintang ensembles of the Philippines, and the traditional music of Thailand. In European traditions, there are also some examples of heterophony. One such example is dissonant heterophony of Dinaric Ganga or "Ojkav ...
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Polyphony
Polyphony ( ) is a type of musical texture consisting of two or more simultaneous lines of independent melody, as opposed to a musical texture with just one voice, monophony, or a texture with one dominant melodic voice accompanied by chords, homophony. Within the context of the Western musical tradition, the term ''polyphony'' is usually used to refer to music of the late Middle Ages and Renaissance. Baroque forms such as fugue, which might be called polyphonic, are usually described instead as contrapuntal. Also, as opposed to the ''species'' terminology of counterpoint, polyphony was generally either "pitch-against-pitch" / "point-against-point" or "sustained-pitch" in one part with melismas of varying lengths in another. In all cases the conception was probably what Margaret Bent (1999) calls "dyadic counterpoint", with each part being written generally against one other part, with all parts modified if needed in the end. This point-against-point conception is opposed to " ...
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Monophony
In music, monophony is the simplest of musical textures, consisting of a melody (or "tune"), typically sung by a single singer or played by a single instrument player (e.g., a flute player) without accompanying harmony or chords. Many folk songs and traditional songs are monophonic. A melody is also considered to be monophonic if a group of singers (e.g., a choir) sings the same melody together at the unison (exactly the same pitch) or with the same melody notes duplicated at the octave (such as when men and women sing together). If an entire melody is played by two or more instruments or sung by a choir with a fixed interval, such as a perfect fifth, it is also said to be monophony (or "monophonic"). The musical texture of a song or musical piece is determined by assessing whether varying components are used, such as an accompaniment part or polyphonic melody lines (two or more independent lines). In the Early Middle Ages, the earliest Christian songs, called plainchant (a we ...
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