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Neutral Third
A neutral third is a musical interval wider than a minor third but narrower than a major third , named by Jan Pieter Land in 1880. Land makes reference to the neutral third attributed to Zalzal (8th c.), described by Al-Farabi (10th c.) as corresponding to a ratio of 27:22 (354.5 cents) and by Avicenna (Ibn Sina, 11th c.) as 39:32 (342.5 cents). The Zalzalian third may have been a mobile interval. Three distinct intervals may be termed neutral thirds: * The ''undecimal neutral third'' has a ratio of 11:9 between the frequencies of the two tones, or about 347.41 cents . This ratio is the mathematical mediant of the major third 5/4 and the minor third 6/5, and as such, has the property that if harmonic notes of frequency ''f'' and (11/9) ''f'' are played together, the beat frequency of the 5th harmonic of the lower pitch against the 4th of the upper, i.e. , 5 f - 4 (11/9) f, = (1/9) f, is the same as the beat frequency of the 6th harmonic of the lower pitch against the 5th ...
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Neutral Sixth
A neutral sixth is a interval (music), musical interval wider than a minor sixth but narrower than a major sixth . Three distinct intervals may be termed neutral sixths: * The ''undecimal neutral sixth'' has a ratio of 18:11 between the frequencies of the two tones, or about 852.59 cents. * A ''tridecimal neutral sixth'' has a ratio of 13:8 between the frequencies of the two tones, or about 840.53 cents. This is the smallest neutral sixth, and occurs infrequently in music, as little music utilizes the 13th harmonic. * An ''equal temperament, equal-tempered neutral sixth'' is 850 Cent (music), cents, a hair narrower than the 18:11 ratio. It is an equal-tempered quarter tone exactly halfway between the equal-tempered minor and major sixths, and half of an equal-tempered perfect eleventh (octave plus fourth). These intervals are all within about 12 cents of each other and are difficult for most people to distinguish. Neutral sixths are roughly a quarter tone sharp from 12 equ ...
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Septimal Minor Third
Septimal may refer to: *Septimal chromatic semitone, the interval 21:20, about 84.47 cents *Septimal comma, a small musical interval in just intonation divisible by 7 *Septimal diatonic semitone, the interval 15:14, about 119.44 cents *Septimal diesis, an interval with the ratio of 49:48, about 38.71 cents *Septimal kleisma, an interval of approximately 7.7 cents *Septimal major third, the musical interval with a 9:7 ratio of frequencies *Septimal meantone temperament, the tempering of 7-limit musical intervals by a meantone temperament tuning *Septimal minor third, the musical interval exactly or approximately equal to a 7/6 ratio of frequencies *Septimal quarter tone, an interval with the ratio of 36:35, about 48.77 cents *Septimal semicomma, an interval with the ratio 126/125, about 13.79 cents *Septimal sixth-tone (or jubilisma), an interval with the ratio of 50:49, about 34.98 cents *Septimal tritone, the interval 7:5, about 582.51 cents ...
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Southwestern Journal Of Anthropology
The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography. A '' compass rose'' is primarily composed of four cardinal directions—north, east, south, and west—each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal) directions—northeast, southeast, southwest, and northwest—each located halfway between two cardinal directions. Some disciplines such as meteorology and navigation further divide the compass with additional azimuths. Within European tradition, a fully defined compass has 32 "points" (and any finer subdivisions are described in fractions of points). Compass points or compass directions are valuable in that they allow a user to refer to a specific azimuth in a colloquial fashion, without having to compute or remember degrees. Designations The names of the compass point directions follow these rules: 8-wind compass rose * The four cardinal directi ...
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Bruno Nettl
Bruno Nettl (March 14, 1930 – January 15, 2020) was an American ethnomusicologist and academic of Czech birth. A central figure of ethnomusicology, he was among the discipline's most influential scholars. Nettl's research interests varied widely; he wrote on music of the Blackfoot people, Iran, Southern India and particularly the scope and methods of ethnomusicology as a discipline. His lengthy teaching-career centered on the University of Illinois Urbana-Champaign, where his many students included Stephen Blum and Philip V. Bohlman. Early life and education Bruno Nettl was born on March 14, 1930 in Prague, then in Czechoslovakia, to a musical family. His father was (1889–1972), a well-known musicologist who researched Mozart as well as the connections between Czech, German and Jewish musical traditions. Among the elder Nettl's work was the ''Handbuch der Musikgeschichte'' (1930) with Guido Adler, and the ''Beethoven Encyclopedia'' (1956). His mother, Gertrude (née Hut ...
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Perfect Fourth
A fourth is a interval (music), musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth () is the fourth spanning five semitones (half steps, or half tones). For example, the ascending interval from C to the next F is a perfect fourth, because the note F is the fifth semitone above C, and there are four staff positions between C and F. Diminished fourth, Diminished and Tritone, augmented fourths span the same number of staff positions, but consist of a different number of semitones (four and six, respectively). The perfect fourth may be derived from the Harmonic series (music), harmonic series as the interval between the third and fourth harmonics. The term ''perfect'' identifies this interval as belonging to the group of perfect intervals, so called because they are neither major nor minor. A perfect fourth in just intonation corresponds to a pitch ratio of 4:3, or about 498 cent (music), cents (), while in equal temperam ...
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Semitone
A semitone, also called a minor second, half step, or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined as the interval between two adjacent notes in a 12-tone scale (or half of a whole step), visually seen on a keyboard as the distance between two keys that are adjacent to each other. For example, C is adjacent to C; the interval between them is a semitone. In a 12-note approximately equally divided scale, any interval can be defined in terms of an appropriate number of semitones (e.g. a whole tone or major second is 2 semitones wide, a major third 4 semitones, and a perfect fifth 7 semitones). In music theory, a distinction is made between a diatonic semitone, or minor second (an interval encompassing two different staff positions, e.g. from C to D) and a chromatic semitone or augmented unison (an interval between two notes at the same staff position, e.g. f ...
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Infants
In common terminology, a baby is the very young offspring of adult human beings, while infant (from the Latin word ''infans'', meaning 'baby' or 'child') is a formal or specialised synonym. The terms may also be used to refer to juveniles of other organisms. A newborn is, in colloquial use, a baby who is only hours, days, or weeks old; while in medical contexts, a newborn or neonate (from Latin, ''neonatus'', newborn) is an infant in the first 28 days after birth (the term applies to premature, full term, and postmature infants). Infants born prior to 37 weeks of gestation are called "premature", those born between 39 and 40 weeks are "full term", those born through 41 weeks are "late term", and anything beyond 42 weeks is considered "post term". Before birth, the offspring is called a fetus. The term ''infant'' is typically applied to very young children under one year of age; however, definitions may vary and may include children up to two years of age. When a human child ...
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Perfect Fifth
In music theory, a perfect fifth is the Interval (music), musical interval corresponding to a pair of pitch (music), pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive Musical note, notes in a diatonic scale. The perfect fifth (often abbreviated P5) spans seven semitones, while the Tritone, diminished fifth spans six and the augmented fifth spans eight semitones. For example, the interval from C to G is a perfect fifth, as the note G lies seven semitones above C. The perfect fifth may be derived from the Harmonic series (music), harmonic series as the interval between the second and third harmonics. In a diatonic scale, the dominant (music), dominant note is a perfect fifth above the tonic (music), tonic note. The perfect fifth is more consonance and dissonance, consonant, or stable, than any other interval except the unison and the octave. It occu ...
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72 Equal Temperament
In music, 72 equal temperament, called twelfth-tone, 72 TET, 72  EDO, or 72 ET, is the tempered scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps (equal frequency ratios). Each step represents a frequency ratio of , or which divides the 100 cent 12 EDO "halftone" into 6 equal parts (100 cents ÷ 6 steps, exactly) and is thus a "twelfth-tone" (). Since 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72, 72 EDO includes all those equal temperaments. Since it contains so many temperaments, 72 EDO contains at the same time tempered semitones, third-tones, quartertones and sixth-tones, which makes it a very versatile temperament. This division of the octave has attracted much attention from tuning theorists, since on the one hand it subdivides the standard 12 equal temperament and on the other hand it accurately represents overtones up to the twelfth partial tone, ...
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41 Equal Temperament
41 may refer to: * 41 (number) * one of the years 41 BC, AD 41, 1941, 2041 Art and entertainment * 41 (film), ''41'' (film), a 2007 documentary about Nicholas O'Neill, the youngest victim of the Station nightclub fire * ''41'', an Australian award-winning science fiction time travel film about a time loop, by Glenn Triggs * ''41'', a 2012 documentary about President George H. W. Bush. * 41 (song), "#41" (song), a song by the Dave Matthews Band * ''Survivor 41'', the 41st installment of CBS's reality program ''Survivor'' * "Forty One", a song by Karma to Burn from the album ''Appalachian Incantation'', 2010 People * George H. W. Bush, or "Bush 41" (to distinguish him from his son, George W. Bush), 41st president of the United States * Nick "41" MacLaren, member of the New Zealand hip hop duo Frontline (band), Frontline * 41 (group), a Brooklyn drill trio Others

* HP-41C, a series of calculators made by Hewlett-Packard ** FOCAL (Hewlett-Packard) (Forty-one calculator language), ...
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31 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 app ...
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12 Equal Temperament
12 equal temperament (12-ET) is the musical system that divides the octave into 12 parts, all of which are Equal temperament, equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the Twelfth root of two, 12th root of 2 (\sqrt[12] ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. Twelve-tone equal temperament is the most widespread system in music today. It has been the predominant tuning system of Western music, starting with classical music, since the 18th century, and Europe almost exclusively used approximations of it for millennia before that. It has also been used in other cultures. In modern times, 12-ET is usually tuned relative to a standard pitch of 440 Hz, called A440 (pitch standard), A440, meaning one note, A (musical note), A4 (the A in the 4th octave of a typical 88-key piano), is tuned to 440 hertz and all other notes are defined as some multiple of semitones apart from it, ei ...
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