Septimal Minor Seventh
The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969 cents). This is about 32 cents narrower, with a more stable and consonant sound, than a minor seventh in equal temperament, and is up to 49 cents narrower than and is, "particularly sweet", "sweeter in quality" than an "ordinary" just minor seventh, which has an intonation ratio of 9:5 (about 1018 cents). The harmonic seventh arises from the harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending on the tuning system used). Fixed pitch: Not a scale note Although the word "seventh" in the name suggests the seventh note in a scale, and although the seventh pitch up from the tonic is i ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Septimal Major Second
In music, the septimal whole tone, septimal major second, supermajor second, or septimal supermajor second is the interval (music), musical interval exactly or approximately equal to an 8/7 ratio of frequencies.Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p.131. . "Super-Major Second". It is about 231 cent (music), cents wide in just intonation.Leta E. Miller, Fredric Lieberman (2006). ''Lou Harrison'', p.72. . quarter tone scale, 24 equal temperament does not match this interval particularly well, its nearest representation being at 250 cents, approximately 19 cents sharp. The 7-limit tuning, septimal whole tone may be derived from the Harmonic series (music), harmonic series as the interval between the seventh harmonic, seventh and eighth harmonics and the term ''septimal'' refers to the fact that it utilizes the Harmonic seventh, seventh harmonic. It can also be thought of as the octave inversion of the 7/4 interval, the harmonic sev ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Musical Scale
In music theory, a scale is "any consecutive series of notes that form a progression between one note and its octave", typically by order of pitch or fundamental frequency. The word "scale" originates from the Latin ''scala'', which literally means "ladder". Therefore, any scale is distinguishable by its "step-pattern", or how its intervals interact with each other. Often, especially in the context of the common practice period, most or all of the melody and harmony of a musical work is built using the notes of a single scale, which can be conveniently represented on a staff with a standard key signature. Due to the principle of octave equivalence, scales are generally considered to span a single octave, with higher or lower octaves simply repeating the pattern. A musical scale represents a division of the octave space into a certain number of scale steps, a scale step being the recognizable distance (or interval) between two successive notes of the scale. However, the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Ben Johnston (composer)
Benjamin Burwell Johnston Jr. (March 15, 1926 – July 21, 2019) was an American contemporary music composer, known for his use of just intonation. He was called "one of the foremost composers of microtonal music" by Philip Bush and "one of the best non-famous composers this country has to offer" by John Rockwell. Biography Johnston was born in Macon, Georgia, and taught composition and theory at the University of Illinois at Urbana–Champaign from 1951 to 1986, before retiring to North Carolina. During his time teaching, he was in contact with avant-garde figures such as John Cage, La Monte Young, and Iannis Xenakis. Johnston's students included Stuart Saunders Smith, Neely Bruce, Thomas Albert, Michael Pisaro, Manfred Stahnke, and Kyle Gann. He also considered his practice of just intonation to have influenced other composers, including Larry Polansky. In 1946 he married dance band singer Dorothy Haines, but they soon divorced. In 1950 he married artist Betty Hall, who ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Serenade For Tenor, Horn And Strings
The ''Serenade for Tenor, Horn and Strings'', Op. 31, is a song cycle written in 1943 by Benjamin Britten for tenor, solo horn and a string orchestra. Composed during the Second World War at the request of the horn player Dennis Brain, it is a setting of a selection of six poems by English poets on the subject of night, including both its calm and its sinister aspects. The poets Britten chose to set for the Serenade range from an anonymous 15th-century writer to poets from the 17th, 18th and 19th centuries. Britten's domestic partner – the tenor Peter Pears – and Brain were the soloists at the first performance. They later recorded the work, which has received subsequent recordings by tenors, horn players, orchestras and conductors from Britain, continental Europe, America and Australia. Background and first performance Britten and his partner, Peter Pears, returned to Britain in April 1942 after three years in the United States. A few weeks later Britten was commissioned b ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Benjamin Britten
Edward Benjamin Britten, Baron Britten of Aldeburgh (22 November 1913 – 4 December 1976) was an English composer, conductor, and pianist. He was a central figure of 20th-century British music, with a range of works including opera, other vocal music, orchestral and chamber pieces. His best-known works include the opera ''Peter Grimes'' (1945), the ''War Requiem'' (1962) and the orchestral showpiece ''The Young Person's Guide to the Orchestra'' (1945). Britten was born in Lowestoft, Suffolk, the son of a dentist. He showed talent from an early age. He studied at the Royal College of Music in London and privately with the composer Frank Bridge. Britten first came to public attention with the ''a cappella'' choral work ''A Boy Was Born'' in 1934. With the premiere of ''Peter Grimes'' in 1945, he leapt to international fame. Over the next 28 years, he wrote 14 more operas, establishing himself as one of the leading 20th-century composers in the genre. In addition to large ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Natural Horn
The natural horn is a musical instrument that is the predecessor to the modern-day (French) horn (differentiated by its lack of valves). Throughout the seventeenth and eighteenth centuries, the natural horn evolved as a separation from the trumpet by widening the bell and lengthening the tubes. It consists of a mouthpiece, long coiled tubing, and a large flared bell. This instrument was used extensively until the emergence of the valved horn in the early 19th century. Hand stopping technique The natural horn has several gaps in its harmonic range. To play chromatically, in addition to crooking the instrument into the right key, two additional techniques are required: ''bending'' and '' hand-stopping''. Bending a note is achieved by modifying the embouchure to raise or lower the pitch fractionally, and compensates for the slightly out-of-pitch " wolf tones" which all brass instruments have. Hand-stopping is a technique whereby the player can modify the pitch of a note by u ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Britten - Serenade Prologue
Edward Benjamin Britten, Baron Britten of Aldeburgh (22 November 1913 – 4 December 1976) was an English composer, conductor, and pianist. He was a central figure of 20th-century British music, with a range of works including opera, other vocal music, orchestral and chamber pieces. His best-known works include the opera ''Peter Grimes'' (1945), the ''War Requiem'' (1962) and the orchestral showpiece ''The Young Person's Guide to the Orchestra'' (1945). Britten was born in Lowestoft, Suffolk, the son of a dentist. He showed talent from an early age. He studied at the Royal College of Music in London and privately with the composer Frank Bridge. Britten first came to public attention with the ''a cappella'' choral work ''A Boy Was Born'' in 1934. With the premiere of ''Peter Grimes'' in 1945, he leapt to international fame. Over the next 28 years, he wrote 14 more operas, establishing himself as one of the leading 20th-century composers in the genre. In addition to large ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Octave
In music, an octave (: eighth) or perfect octave (sometimes called the diapason) is an interval between two notes, one having twice the frequency of vibration of the other. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music", the use of which is "common in most musical systems". The interval between the first and second harmonics of the harmonic series is an octave. In Western music notation, notes separated by an octave (or multiple octaves) have the same name and are of the same pitch class. To emphasize that it is one of the perfect intervals (including unison, perfect fourth, and perfect fifth), the octave is designated P8. Other interval qualities are also possible, though rare. The octave above or below an indicated note is sometimes abbreviated ''8a'' or ''8va'' (), ''8va bassa'' (, sometimes also ''8vb''), or simply ''8'' for the octave in the direction indicated by placing this mark above or below the staff. ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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31 Tone Equal Temperament
In music, 31 equal temperament, which can also be abbreviated (31 tone ) or (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equally-proportioned steps (equal frequency ratios). Each step represents a frequency ratio of , or 38.71 cents (). is a very good approximation of quarter-comma meantone temperament. More generally, it is a regular diatonic tuning in which the tempered perfect fifth is equal to 696.77 cents, as shown in Figure 1. On an isomorphic keyboard, the fingering of music composed in is precisely the same as it is in any other syntonic tuning (such as so long as the notes are spelled properly—that is, with no assumption of enharmonicity. History and use Division of the octave into 31 steps arose naturally out of Renaissance music theory; the lesser diesis – the ratio of an octave to three major thirds, 128:125 or 41.06 cents – was approxi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Quarter Comma Meantone
Quarter-comma meantone, or -comma meantone, was the most common meantone temperament in the sixteenth and seventeenth centuries, and was sometimes used later. In this system the perfect fifth is flattened by one quarter of a syntonic comma with respect to its just intonation used in Pythagorean tuning (frequency ratio the result is \tfrac \times \left(\tfrac\right)^ = \sqrt \approx 1.49535, or a fifth of 696.578 cents. (The 12th power of that value is 125, whereas 7 octaves is 128, and so falls 41.059 cents short.) This fifth is then iterated to generate the diatonic scale and other notes of the temperament. The purpose is to obtain justly intoned major thirds (with a frequency ratio equal to It was described by Pietro Aron in his ''Toscanello de la Musica'' of 1523, by saying the major thirds should be tuned to be "sonorous and just, as united as possible". Later theorists Gioseffo Zarlino and Francisco de Salinas described the tuning with mathematical exa ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Tonnetz
In musical tuning and harmony, the (German for 'tone net') is a conceptual lattice diagram representing tonal space first described by Leonhard Euler in 1739. Various visual representations of the ''Tonnetz'' can be used to show traditional harmonic relationships in European classical music. History through 1900 The ''Tonnetz'' originally appeared in Leonhard Euler's 1739 . Euler's ''Tonnetz'', pictured at left, shows the triadic relationships of the perfect fifth and the major third: at the top of the image is the note F, and to the left underneath is C (a perfect fifth above F), and to the right is A (a major third above F). Gottfried Weber, , discusses the relationships between keys, presenting them in a network analogous to Euler's ''Tonnetz'', but showing keys rather than notes. The ''Tonnetz'' itself was rediscovered in 1858 by Ernst Naumann in his ., and was disseminated in an 1866 treatise of Arthur von Oettingen. Oettingen and the influential musicologist Hugo Ri ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Syntonic Comma
In music theory Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory": The first is the "Elements of music, ..., the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemy, Ptolemaic comma, or the diatonic comma is a small Comma (music), comma type interval (music), interval between two musical notes, equal to the frequency ratio (= 1.0125) (around 21.51 cent (music), cents). Two notes that differ by this interval would sound different from each other even to untrained ears, but would be close enough that they would be more likely interpreted as out-of-tune versions of the same note than as different notes. The comma is also referred to as a ''Didymean comma'' because it is the amount by which Didymus the Musician, Didymus corrected the Pythagorean interval, Pythagorean major thir ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |