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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, located on the North Shore of Greater Boston. Continuous settlement by Europeans began in 1626 with English colonists. Salem would become one of the most significant seaports trading commodities in early American history. It is a suburb of Boston. Today Salem is a residential and tourist area that is home to the House of Seven Gables, Salem State University, Pioneer Village, the Salem Maritime National Historic Site, Salem Willows Park, and the Peabody Essex Museum. It features historic residential neighborhoods in the Federal Street District and the Charter Street Historic District.Peabody Essex announces $650 million campaign WickedLocal.com, November 14, 2011 [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guerrero (State)
Guerrero is one of the 32 states that comprise the 32 Federal Entities of Mexico. It is divided in 81 municipalities and its capital city is Chilpancingo and its largest city is Acapulcocopied from article, GuerreroAs of 2020, Guerrero the population was recorded that 3,540,685 people who live there. The international sales of their production has gone up, production like fresh mangoes, figs, coconuts, pineapple, avocado, and so much more produce. These sales have really helped Guerrero's economy. These productions have also helped In addition to the capital city, the state's largest cities include Acapulco, Petatlán, Ciudad Altamirano, Taxco, Iguala, Ixtapa, Zihuatanejo, anSanto Domingo Today, it is home to a number of indigenous communities, including the Nahuas, Mixtecs, Tlapanecs, Amuzgos, and formerly Cuitlatecscopied from article, GuerreroMost of the production is from the local farmers all over the cities of Guerrero, Chilpancingo, Iguala. A good portion of Guerrero's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dominant (music)
In music, the dominant is the fifth scale degree () of the diatonic scale. It is called the ''dominant'' because it is second in importance to the first scale degree, the tonic. In the movable do solfège system, the dominant note is sung as "So(l)". The triad built on the dominant note is called the dominant chord. This chord is said to have dominant function, which means that it creates an instability that requires the tonic for resolution. Dominant triads, seventh chords, and ninth chords typically have dominant function. Leading-tone triads and leading-tone seventh chords may also have dominant function. Dominant chords In music theory, the dominant triad is a major chord, symbolized by the Roman numeral "V" in the major scale. In the natural minor scale, the triad is a minor chord, denoted by "v". However, in a minor key, the seventh scale degree is often raised by a half step ( to ), creating a major chord. These chords may also appear as seventh chords: ty ... [...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 "I" if it is major and by "i" if it is minor. These chords may also appear as seventh chords: in major, as IM7, or in minor as i7 or rarely iM7: 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. 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). This is called Ptolemy's intense diatonic tetrachord (or "tense"), as opposed to Ptolemy's soft diatonic tetrachord (or "relaxed"), which is formed by 21:20, 10:9 and 8:7 intervals. Structure The structure of the intense diatonic scale is shown ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diatonic Scale
In music theory, a diatonic scale is any heptatonic 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, depending on their position in the scale. This pattern ensures that, in a diatonic scale spanning more than one octave, all the half steps are Maximal evenness, maximally separated from each other (i.e. separated by at least two whole steps). 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 des ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Just Intonation
In music, just intonation or pure intonation is the tuning of musical intervals Interval may refer to: Mathematics and physics * Interval (mathematics), a range of numbers ** Partially ordered set#Intervals, its generalization from numbers to arbitrary partially ordered sets * A statistical level of measurement * Interval e ... as whole number ratios (such as 3:2 or 4:3) of Frequency, frequencies. An interval (music), interval tuned in this way is said to be pure, and is called a just interval. 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Limit (music)
In music theory, limit or harmonic limit is 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 first five harmonic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Comma (music)
In music theory, a comma is a very small interval, the difference resulting from tuning one note two different ways. Strictly speaking, there are only two kinds of comma, the syntonic comma, "the difference between a just major 3rd and four just perfect 5ths less two octaves", and the Pythagorean comma, "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. Intervals separated by the ratio 81:80 are considered the same note because the 12-note Western chromatic scale does not distinguish Pythagorean intervals from 5-limit intervals in its notation. Other intervals are considered commas because of the enharmonic equivalences of a tuning system. For example, in 53TET, B and A are both approximated by the same inte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Microtonal Music
Microtonal music or 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. In ''Revising the musical equal temperament,'' Haye Hinrichsen defines equal temperament as “the frequency ratios of all intervals are invariant under transposition (translational shifts along the keyboard), i.e., to be constant. The standard twelve-tone ''equal temperament'' (ET), which was originally invented in ancient China and rediscovered in Europe in the 16th century, is determined by two additional conditions. Firstly the octave is divided into twelve semitones. Secondly the octave, the most fundamental of all intervals, is postulated to be pure (beatless), as described by the ... [...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 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 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 method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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