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Harmonic Entropy
Paul Erlich (born 1972) is a guitarist and music theorist living near Boston, Massachusetts. He is known for his seminal role in developing the theory of regular temperaments, including being the first to define pajara temperament Accessed 2013-10-29.. and its decatonic scales in 22-ET. He holds a Bachelor of Science degree in physics from Yale University. His definition of harmonic entropy, a refinement of a model by van Eck influenced by Ernst Terhardt has received attention from music theorists such as William Sethares.Sethares, William (2005). Tuning, Timbre, Spectrum, Scale', p.371. Springer Science & Business Media. . "Harmonic entropy is a measure of the uncertainty in pitch perception, and it provides a physical correlate of tonalness the closeness of the partials of a complex sound to a harmonic series" one aspect of the psychoacoustic concept of dissonance....high tonalness corresponds to low entropy and low tonalness corresponds to high entropy." It is intended ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Triadic Harmonic Entropy
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Triadic may refer to: * Triad (music) * Triadic patent, a series of corresponding patents * Triadic reciprocal causation, a concept in social psychology * Triadic relation, a mathematical concept * ''p''-adic number, where p=3, a mathematical concept *Triadic System in Psychiatry See also * Tertian In music theory, ''tertian'' (, "of or concerning thirds") describes any piece, chord, counterpoint etc. constructed from the intervals of (major and minor) thirds. An interval such as that between the notes A and C encompasses 3 semitone i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chord (music)
In Western music theory, a chord is a group of notes played together for their harmony, harmonic Consonance and dissonance, consonance or dissonance. The most basic type of chord is a Triad (music), triad, so called because it consists of three distinct notes: the Root (chord), root note along with Interval (music), intervals of a Third (chord), third and a Fifth (chord), fifth above the root note. Chords with more than three notes include added tone chords, extended chords and tone clusters, which are used in contemporary classical music, jazz, and other genres. Chords are the building blocks of harmony and form the harmonic foundation of a piece of music. They provide the harmonic support and coloration that accompany melodies and contribute to the overall sound and mood of a musical composition. The factor (chord), factors, or component notes, of a chord are often sounded simultaneously but can instead be sounded consecutively, as in an arpeggio. A succession of chords is ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Male Guitarists
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Sports teams S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1972 Births
Within the context of Coordinated Universal Time (UTC) it was the longest year ever, as two leap seconds were added during this 366-day year, an event which has not since been repeated. (If its start and end are defined using Solar time, mean solar time [the legal time scale], its duration was 31622401.141 seconds of Terrestrial Time (or Ephemeris Time), which is slightly shorter than 1908 in science#Astronomy, 1908). Events January * January 1 – Kurt Waldheim becomes Secretary-General of the United Nations. * January 4 – The first scientific hand-held calculator (HP-35) is introduced (price $395). * January 7 – Iberia Airlines Flight 602 crashes into a 462-meter peak on the island of Ibiza; 104 are killed. * January 9 – The RMS Queen Elizabeth, RMS ''Queen Elizabeth'' catches fire and sinks in Hong Kong's Victoria harbor while undergoing conversion to a floating university. * January 10 – Independence leader Sheikh Mujibur Rahman returns to Bangladesh after s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mediant (mathematics)
In mathematics, the mediant of two vulgar fraction, fractions, generally made up of four positive integers : \frac \quad and \quad \frac \quad is defined as \quad \frac. That is to say, the numerator and denominator of the mediant are the sums of the numerators and denominators of the given fractions, respectively. It is sometimes called the freshman sum, as it is a common mistake in the early stages of learning about Fraction (mathematics)#Addition, addition of fractions. Technically, this is a binary operation on valid fractions (nonzero denominator), considered as ordered pairs of appropriate integers, a priori disregarding the perspective on rational numbers as equivalence classes of fractions. For example, the mediant of the fractions 1/1 and 1/2 is 2/3. However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Farey Diagram
In mathematics, the Farey sequence of order ''n'' is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, which have denominators less than or equal to ''n'', arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted by the fraction , and ends with the value 1, denoted by the fraction (although some authors omit these terms). A ''Farey sequence'' is sometimes called a Farey series (mathematics), ''series'', which is not strictly correct, because the terms are not summed. Examples The Farey sequences of orders 1 to 8 are : :''F''1 = :''F''2 = :''F''3 = :''F''4 = :''F''5 = :''F''6 = :''F''7 = :''F''8 = Farey sunburst Plotting the numerators versus the denominators of a Farey sequence gives a shape like the one to the right, shown for Reflecting this shape around the diagonal and main axes generates the ''Farey sunburst'', shown below. The Farey sunburst ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equal Temperament
An equal temperament is a musical temperament or Musical tuning#Tuning systems, tuning system that approximates Just intonation, just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequency, frequencies of any adjacent pair of notes is the same. This system yields Pitch (music), pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been 12 equal temperament (also known as ''12 tone equal temperament'', ' or ', informally abbreviated as ''12 equal''), which divides the octave into 12 parts, all of which are equal 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. In Western world, Western countries the term ''equal temperamen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minor Third
In music theory, a minor third is a interval (music), musical interval that encompasses three half steps, or semitones. Staff notation represents the minor third as encompassing three staff positions (see: interval (music)#Number, interval number). The minor third is one of two commonly occurring thirds. It is called ''minor'' because it is the smaller of the two: the major third spans an additional semitone. For example, the interval from A to C is a minor third, as the note C lies three semitones above A. Coincidentally, there are three staff positions from A to C. Diminished third, Diminished and augmented thirds span the same number of staff positions, but consist of a different number of semitones (two and five). The minor third is a skip (music), skip melodically. Notable examples of ascending minor thirds include the opening two notes of "Greensleeves" and of "Light My Fire". The minor third may be derived from the Harmonic series (music), harmonic series as the interva ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Augmented Second
In Western classical music, an augmented second is an interval created by widening a major second by a chromatic semitone, spanning three semitones and enharmonically equivalent to a minor third in 12-tone equal temperament.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an A2 not given but general example of major intervals described. For instance, the interval from C to D is a major second, two semitones wide, and the interval from C to D is an augmented second, spanning three semitones. Usage Augmented seconds occur in many scales, including the various modes of the harmonic minor and double harmonic scales. In harmonic minor, the augmented second occurs between the sixth and seventh scale degrees. For example, in the scale of A harmonic minor, the notes F and G form the interval of an augmented second. This distinguishing feature of harmonic minor scales occurs as a consequence of the seventh scale degree having been chrom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Critical Band
In audiology and psychoacoustics the concept of critical bands, introduced by Harvey Fletcher in 1933 and refined in 1940, describes the frequency bandwidth (signal processing), bandwidth of the "auditory filter" created by the cochlea, the sense organ of hearing within the inner ear. Roughly, the critical band is the band of audio frequency, audio frequencies within which a second tone will interfere with the perception of the first tone by auditory masking. Psychophysiology, Psychophysiologically, Beat (acoustics), beating and Roughness (psychophysics), auditory roughness sensations can be linked to the inability of the auditory frequency-analysis mechanism to resolve inputs whose frequency difference is smaller than the critical bandwidth and to the resulting irregular "tickling" of the mechanical system (basilar membrane) that resonates in response to such inputs. Critical bands are also closely related to auditory masking phenomena – reduced audibility of a sound signal when ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
