Octatonic Scales
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Octatonic Scales
An octatonic scale is any eight- note musical scale. However, the term most often refers to the symmetric scale composed of alternating whole and half steps, as shown at right. In classical theory (in contrast to jazz theory), this symmetrical scale is commonly called the ''octatonic scale'' (or the ''octatonic collection''), although there are a total of 42 enharmonically non-equivalent, transpositionally non-equivalent eight-note sets. The earliest systematic treatment of the octatonic scale was in Edmond de Polignac's unpublished treatise "Étude sur les successions alternantes de tons et demi-tons (Et sur la gamme dite majeure-mineure)" (''Study of the Succession of Alternating Whole Tones and Semitones (and of the so-called Major-Minor Scale)'') from c. 1879, which preceded Vito Frazzi's ''Scale alternate per pianoforte'' of 1930 by a full half-century. Nomenclature In Saint Petersburg at the turn of the 20th century, this scale had become so familiar in the circle of c ...
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Musical Note
In music, a note is the representation of a musical sound. Notes can represent the Pitch (music), pitch and Duration (music), duration of a sound in musical notation. A note can also represent a pitch class. Notes are the building blocks of much written music: musical analysis#Discretization, discretizations of musical phenomena that facilitate performance, comprehension, and musical analysis, 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 frequency, fundamental frequencies in a ratio equal to any integer power of two (e.g., half, twice, or four times ...
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Key Signature
In Western musical notation, a key signature is a set of sharp (), flat (), or rarely, natural () symbols placed on the staff at the beginning of a section of music. The initial key signature in a piece is placed immediately after the clef at the beginning of the first line. If the piece contains a section in a different key, the new key signature is placed at the beginning of that section. In a key signature, a sharp or flat symbol on a line or space of the staff indicates that the note represented by that line or space is to be played a semitone higher (sharp) or lower (flat) than it would otherwise be played. This applies through the end of the piece or until another key signature is indicated. Each symbol applies to all notes in the same pitch class—for example, a flat on the third line of the treble staff (as in the diagram) indicates that all notes appearing as Bs are played as B-flats. This convention was not universal until the late Baroque and early Classical peri ...
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Scarlatti Sonata K319, Bars 62-80
Scarlatti is an Italian surname. Notable people with this surname include: *Scarlatti family of 17th- and 18th-century Italy, which includes: ** Alessandro Scarlatti (1660–1725), Baroque composer known for operas and chamber cantatas, father of Domenico Scarlatti **Francesco Scarlatti (1666–1741), Baroque composer and musician, brother of Alessandro Scarlatti ** Domenico Scarlatti (1685–1757), Baroque composer, influential in the development of keyboard music, son of Alessandro Scarlatti ** Giuseppe Scarlatti (1718/1723–1777), Baroque composer, nephew of Alessandro or Domenico **Pietro Filippo Scarlatti (1679–1750), Baroque composer, organist and choirmaster, son of Alessandro Scarlatti **Rosa Scarlatti (1727–1775), Italian opera singer, niece of Alessandro or Domenico *Giorgio Scarlatti (1921–1990), Italian Formula One driver See also *'' The Scarlatti Inheritance'', novel by Robert Ludlum * 6480 Scarlatti, asteroid * Scarlatti (crater), impact crater on Mercury * S ...
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Scarlatti Sonasta K319, Bars 62-80
Scarlatti is an Italian surname. Notable people with this surname include: *Scarlatti family of 17th- and 18th-century Italy, which includes: ** Alessandro Scarlatti (1660–1725), Baroque composer known for operas and chamber cantatas, father of Domenico Scarlatti **Francesco Scarlatti (1666–1741), Baroque composer and musician, brother of Alessandro Scarlatti ** Domenico Scarlatti (1685–1757), Baroque composer, influential in the development of keyboard music, son of Alessandro Scarlatti ** Giuseppe Scarlatti (1718/1723–1777), Baroque composer, nephew of Alessandro or Domenico **Pietro Filippo Scarlatti (1679–1750), Baroque composer, organist and choirmaster, son of Alessandro Scarlatti **Rosa Scarlatti (1727–1775), Italian opera singer, niece of Alessandro or Domenico *Giorgio Scarlatti (1921–1990), Italian Formula One driver See also *'' The Scarlatti Inheritance'', novel by Robert Ludlum * 6480 Scarlatti, asteroid * Scarlatti (crater), impact crater on Mercury * S ...
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Richard Taruskin
Richard Filler Taruskin (April 2, 1945 – July 1, 2022) was an American musicologist and music critic who was among the leading and most prominent music historians of his generation. The breadth of his scrutiny into source material as well as musical analysis that combines sociological, cultural, and political perspectives, has incited much discussion, debate and controversy. He regularly wrote music criticism for newspapers including ''The New York Times''. He researched a wide variety of areas, but a central topic was the Russian music of the 18th century to present day. Other subjects he engaged with include the theory of performance, 15th-century music, 20th-century classical music, nationalism in music, the theory of modernism, and analysis. He is best known for his monumental survey of Western classical music, the six-volume ''Oxford History of Western Music''. He received several awards, including the first Noah Greenberg Award from the American Musicological Society in ...
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Domenico Scarlatti
Giuseppe Domenico Scarlatti, also known as Domingo or Doménico Scarlatti (26 October 1685-23 July 1757), was an Italian composer. He is classified primarily as a Baroque composer chronologically, although his music was influential in the development of the Classical style. Like his renowned father Alessandro Scarlatti, he composed in a variety of musical forms, although today he is known mainly for his 545 keyboard sonatas. He spent much of his life in the service of the Portuguese and Spanish royal families. Life and career Scarlatti was born in Naples, Kingdom of Naples, belonging to the Spanish Crown. He was born in 1685, the same year as Johann Sebastian Bach and George Frideric Handel. He was the sixth of ten children of the composer and teacher Alessandro Scarlatti. His older brother Pietro Filippo was also a musician. Scarlatti first studied music under his father. Other composers who may have been his early teachers include Gaetano Greco, Francesco Gasparini, ...
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Persian Traditional Music
Persian traditional music or Iranian traditional music, also known as Persian classical music or Iranian classical music, refers to the classical music of Iran (also known as ''Persia''). It consists of characteristics developed through the country's classical, medieval, and contemporary eras. It also influenced areas and regions that are considered part of Greater Iran. Due to the exchange of musical science throughout history, many of Iran's classical modes are related to those of its neighboring cultures. Iran's classical art music continues to function as a spiritual tool, as it has throughout history, and much less of a recreational activity. It belongs for the most part to the social elite, as opposed to the folkloric and popular music, in which the society as a whole participates. However, components of Iran's classical music have also been incorporated into folk and pop music compositions. History The history of musical development in Iran dates back thousands of years ...
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Joseph Schillinger
Joseph Moiseyevich Schillinger (Russian: Иосиф Моисеевич Шиллингер, (other sources: ) – 23 March 1943) was a composer, music theorist, and composition teacher who originated the Schillinger System of Musical Composition. He was born in Kharkov, in the Kharkov Governorate of the Russian Empire (present-day Ukraine) and died in New York City. Life and career The unprecedented migration of European knowledge and culture that swept from East to West during the first decades of the 20th century included figures such as Prokofiev and Rachmaninov, composers who were the product of the Russian system of music education. Schillinger came from this background, dedicated to creating professional musicians, having been a student at the St Petersburg Imperial Conservatory of Music. He communicated his musical knowledge in the form of a written theory, using mathematical expressions to describe art, architecture, design and music. In New York, Schillinger flourished ...
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Tetrachord
In music theory, a tetrachord ( el, τετράχορδoν; lat, tetrachordum) is a series of four notes separated by three intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cents)—but in modern use it means any four-note segment of a scale or tone row, not necessarily related to a particular tuning system. History The name comes from ''tetra'' (from Greek—"four of something") and ''chord'' (from Greek ''chordon''—"string" or "note"). In ancient Greek music theory, ''tetrachord'' signified a segment of the greater and lesser perfect systems bounded by ''immovable'' notes ( ); the notes between these were ''movable'' ( ). It literally means ''four strings'', originally in reference to harp-like instruments such as the lyre or the kithara, with the implicit understanding that the four strings produced adjacent (i.e., conjunct) notes. Modern music theory uses the octave as the basic u ...
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Minor Scale
In music theory, the minor scale is three scale patterns – the natural minor scale (or Aeolian mode), the harmonic minor scale, and the melodic minor scale (ascending or descending) – rather than just two as with the major scale, which also has a harmonic form but lacks a melodic form. In each of these scales, the first, third, and fifth scale degrees form a minor triad (rather than a major triad, as in a major scale). In some contexts, ''minor scale'' is used to refer to any heptatonic scale with this property (see Related modes below). Natural minor scale Relationship to relative major A natural minor scale (or Aeolian mode) is a diatonic scale that is built by starting on the sixth degree of its relative major scale. For instance, the A natural minor scale can be built by starting on the 6th degree of the C major scale: : Because of this, the key of A minor is called the ''relative minor'' of C major. Every major key has a relative minor, which starts ...
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Inversional Symmetry
In music theory, an inversion is a type of change to intervals, chords, voices (in counterpoint), and melodies. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory. Intervals An interval is inverted by raising or lowering either of the notes by one or more octaves so that the positions of the notes reverse (i.e. the higher note becomes the lower note and vice versa). For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved. : The tables to the right show the changes in interval quality and interval number under inversion. Thus, perfect intervals remain perfect, major intervals become minor and vice versa, and augmented intervals become diminished and vice versa. (Doubly diminished intervals become doubly augment ...
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Transpositionally Equivalent
In music, transposition refers to the process or operation of moving a collection of notes ( pitches or pitch classes) up or down in pitch by a constant interval. For example, one might transpose an entire piece of music into another key. Similarly, one might transpose a tone row or an unordered collection of pitches such as a chord so that it begins on another pitch. The transposition of a set ''A'' by ''n'' semitones is designated by ''T''''n''(''A''), representing the addition ( mod 12) of an integer ''n'' to each of the pitch class integers of the set ''A''. Thus the set (''A'') consisting of 0–1–2 transposed by 5 semitones is 5–6–7 (''T''5(''A'')) since , , and . Scalar transpositions In scalar transposition, every pitch in a collection is shifted up or down a fixed number of scale steps within some scale. The pitches remain in the same scale before and after the shift. This term covers both chromatic and diatonic transpositions as follows. Chromatic transpo ...
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