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Henry Ward Poole
Henry Ward Poole (1825–1890) was an American surveyor, civil engineer, educator and writer on and inventor of systems of musical tuning. He was brother of the famous librarian William Frederick Poole, and cousin of the celebrated humorist, journalist and politician Fitch Poole. Biography Poole was born 13 September 1825 in Salem, Massachusetts (renamed Peabody 1868), son of Ward Poole (1799–1864) and Elizabeth Wilder (1801–1864). He attended Leicester Academy, and Yale University in 1841 and 1842. He worked up to 1850 at Newburyport, Massachusetts with organ maker Joseph Alley and minister Henry James Hudson (b. 1821-) developing a ''euharmonic'', or enharmonic organ which they patented and solicited by mail, and which was awarded a gold medal at the 1850 Exhibition of the Massachusetts Charitable Mechanic Association. It was installed at Indiana Place Chapel,Church of Disciples; James Freeman Clarke preached at this chapel (''The stranger's new guide through Boston'' ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Salem, Massachusetts
Salem ( ) is a historic coastal city in Essex County, Massachusetts, United States, located on the North Shore (Massachusetts), North Shore of Greater Boston. Continuous settlement by Europeans began in 1626 with English colonists. Salem was one of the most significant seaports trading commodities in Colonial history of the United States, early American history. Prior to the dissolution of county governments in Massachusetts in 1999, it served as one of two county seats for Essex County, alongside Lawrence, Massachusetts, Lawrence. Today, Salem is a residential and tourist area that is home to the House of Seven Gables, Salem State University, Pioneer Village (Salem, Massachusetts), Pioneer Village, the Salem Maritime National Historic Site, Salem Willows, Salem Willows Park, and the Peabody Essex Museum. It features historic residential neighborhoods in the Federal Street District and the Charter Street Historic District. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guerrero (State)
Guerrero, officially the Free and Sovereign State of Guerrero, is one of the 32 states that compose the 32 Federal Entities of Mexico. It is divided into 85 municipalities. The state has a population of about 3.5 million people. It is located in southwest Mexico and is bordered by the states of Michoacán to the north and west, the State of Mexico and Morelos to the north, Puebla to the northeast and Oaxaca to the east. In addition to the capital city, Chilpancingo and the largest city Acapulco, other cities in Guerrero include Petatlán, Ciudad Altamirano, Taxco, Iguala, Ixtapa, and Zihuatanejo. Today, it is home to a number of indigenous communities, including the Nahuas, Mixtecs, Tlapanecs, Amuzgos, and formerly Cuitlatecs. It is also home to communities of Afro-Mexicans in the Costa Chica region. The state was named after Vicente Guerrero, one of the most prominent leaders in the Mexican War of Independence and the second President of Mexico. It is the only Mexican st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dominant (music)
In music Music is the arrangement of sound to create some combination of Musical form, form, harmony, melody, rhythm, or otherwise Musical expression, expressive content. Music is generally agreed to be a cultural universal that is present in all hum ..., the dominant is the fifth degree (music), scale degree () of the diatonic scale. It is called the ''dominant'' because it is second in importance to the first scale degree, the tonic (music), tonic. In the Solfège#Movable do solf%C3%A8ge, movable do solfège system, the dominant note is sung as "So(l)". The Triad (music), triad built on the dominant note is called the dominant chord. This chord is said to have dominant Function (music), function, which means that it creates an instability that requires the tonic (music), tonic for resolution (music), resolution. Dominant triads, Seventh chord, seventh chords, and Ninth chord, ninth chords typically have dominant function. Leading-tone triad, Leading-tone triads and Leadin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tonic (music)
In music, the tonic is the first scale degree () of the diatonic scale (the first note of a scale) and the tonal center or final resolution tone that is commonly used in the final cadence in tonal (musical key-based) classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as ''do''. More generally, the tonic is the note upon which all other notes of a piece are hierarchically referenced. Scales are named after their tonics: for instance, the tonic of the C major scale is the note C. The triad formed on the tonic note, the tonic chord, is thus the most significant chord in these styles of music. In Roman numeral analysis, the tonic chord is typically symbolized by the Roman numeral "" if it is major and by "" if it is minor. These chords may also appear as seventh chords: in major, as M7, or in minor as 7 or rarely M7: The tonic is distinguished from the root, which is the reference note of a chord, rathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Common Tone (chord)
In music, a common tone is a pitch class that is a member of, or common to (shared by) two or more chords or sets. Typically, it refers to a note shared between two chords in a chord progression. According to H.E. Woodruff: The example below shows the seven diatonic triads of C major. The common tones between the tonic triad and the other six triads are highlighted in blue. As Woodruff describes, the tonic triad shares ''no'' common tones with either II and VII (consecutive to I), ''one'' common tone with IV and V (four and five degrees from I) each, and ''two'' common tones with III and VI (three and six degrees from I) each. : In voice leading Common tones are a consideration in voice leading and voicing. Abbé Vogler (1749–1814), Weber (1779–1839), Hauptmann (1792–1868), A. B. Marx (1795–1866), and earlier theorists emphasized "common-tone retention and smooth voice leading in... heirtreatment of harmonic succession hord progressions . It may be considered ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ptolemy's Intense Diatonic Scale
Ptolemy's intense diatonic scale, also known as the Ptolemaic sequence, justly tuned major scale, Ptolemy's tense diatonic scale, or the syntonous (or syntonic) diatonic scale, is a tuning for the diatonic scale proposed by Ptolemy, and corresponding with modern 5-limit just intonation.Chisholm, Hugh (1911). The Encyclopædia Britannica', Vol.28, p. 961. The Encyclopædia Britannica Company. While Ptolemy is famous for this version of just intonation, it is important to realize this was only one of several genera of just, diatonic intonations he describes. He also describes 7-limit "soft" diatonics and an 11-limit "even" diatonic. This tuning was declared by Zarlino to be the only tuning that could be reasonably sung, it was also supported by Giuseppe Tartini, and is equivalent to Indian Gandhar tuning which features exactly the same intervals. It is produced through a tetrachord consisting of a greater tone (9:8), lesser tone (10:9), and just diatonic semitone (16:15) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diatonic Scale
In music theory a diatonic scale is a heptatonic scale, heptatonic (seven-note) scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps. In other words, the half steps are maximally separated from each other. The seven pitch (music), pitches of any diatonic scale can also be obtained by using a Interval cycle, chain of six perfect fifths. For instance, the seven natural (music), natural pitch classes that form the C-major scale can be obtained from a stack of perfect fifths starting from F: :F–C–G–D–A–E–B. Any sequence of seven successive natural notes, such as C–D–E–F–G–A–B, and any Transposition (music), transposition thereof, is a diatonic scale. Modern musical keyboards are designed so that the white-key notes form a diatonic scale, though transpositions of this diatonic scale require one or more black keys. A diaton ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Just Intonation
In music, just intonation or pure intonation is a musical tuning, tuning system in which the space between notes' frequency, frequencies (called interval (music), intervals) is a natural number, whole number ratio, ratio. Intervals spaced in this way are said to be pure, and are called just intervals. Just intervals (and chords created by combining them) consist of tones from a single harmonic series (music), harmonic series of an implied fundamental frequency, fundamental. For example, in the diagram, if the notes G3 and C4 (labelled 3 and 4) are tuned as members of the harmonic series of the lowest C, their frequencies will be 3 and 4 times the fundamental frequency. The interval ratio between C4 and G3 is therefore 4:3, a just fourth (music), fourth. In Western musical practice, bowed instruments such as violins, violas, cellos, and double basses are tuned using pure fifths or fourths. In contrast, keyboard instruments are rarely tuned using only pure intervals—the desire fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Limit (music)
In music theory, limits or harmonic limits are a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term ''limit'' was introduced by Harry Partch, who used it to give an upper bound on the complexity of harmony; hence the name. The harmonic series and the evolution of music Harry Partch, Ivor Darreg, and Ralph David Hill are among the many microtonalists to suggest that music has been slowly evolving to employ higher and higher harmonics in its constructs (see emancipation of the dissonance). In medieval music, only chords made of octaves and perfect fifths (involving relationships among the first three harmonics) were considered consonant. In the West, triadic harmony arose ( contenance angloise) around the time of the Renaissance, and triads quickly became the fundamental building blocks of Western music. The major and minor thirds of these triads invoke relationships among the fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Comma (music)
In music theory, a comma is a very small interval (music), interval, the difference resulting from Musical tuning, tuning one note (music), note two different ways. Traditionally, there are two most common commata; the syntonic comma (80:81), "the difference between a just intonation, just major 3rd and four just perfect 5ths less two octaves", and the Pythagorean comma (524288:531441, approximately 73:74), "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. Pitches separated by either comma are considered the same note because conventional notation does not distinguish Pythagorean intervals from 5-limit intervals. Other intervals are considered commas because of the enharmonic equivalences of a tuning system. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Microtonal Music
Microtonality is the use in music of microtones — intervals smaller than a semitone, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western tuning of twelve equal intervals per octave. In other words, a microtone may be thought of as a note that falls "between the keys" of a piano tuned in equal temperament. Terminology Microtone ''Microtonal music'' can refer to any music containing microtones. The words "microtone" and "microtonal" were coined before 1912 by Maud MacCarthy Mann in order to avoid the misnomer " quarter tone" when speaking of the srutis of Indian music. Prior to this time the term "quarter tone" was used, confusingly, not only for an interval actually half the size of a semitone, but also for all intervals (considerably) smaller than a semitone. It may have been even slightly earlier, perhaps as early as 1895, that the Mexican composer Julián Carrillo, writing in Spanish or Frenc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorization, factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow primality test, method of checking the primality of a given number , called trial division, tests whether is a multiple of any integer between 2 and . Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
