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3-limit Tuning And Intervals
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all interval (music), intervals are determined by choosing a sequence of Perfect fifths, fifthsBruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: McGraw-Hill). Vol. I: p. 56. which are "Five-limit tuning#The justest ratios, pure" or perfect fifth, perfect, with ratio 3:2. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2:1), and hence is the next most consonance and dissonance, consonant "pure" interval, and the easiest to tune by ear. As Novalis put it, "The musical proportions seem to me to be particularly correct natural proportions." Alternatively, it can be described as the tuning of the Regular diatonic tuning#Syntonic temperament and timbre, syntonic temperament in which the generator (music), generator is the ratio Perfect fifth, 3:2 (i.e., the untempered perfe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Syntonic Tuning Continuum
In music theory, 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 third (, around 407.82 cents) to a just intonation, just / harmonic series (music), harmonicly consonant major third (, around 386.31 cents). The word "comma" came via Latin from Greek , from earlier = "a thing cut off", or "a hair", as in "off b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Music Of Ancient Greece
Music was almost universally present in ancient Greece, ancient Greek society, from marriages, funerals, and Religion in ancient Greece, religious ceremonies to Theatre of ancient Greece, theatre, folk music, and the ballad-like reciting of epic poetry. This played an integral role in the lives of ancient Greeks. There are some fragments of actual Greek musical notation, many literary references, Ancient Greek vase painting, depictions on Pottery of ancient Greece, ceramics and relevant archaeology, archaeological remains, such that some things can be known—or reasonably surmised—about what the music sounded like, the general role of music in society, the economics of music, the importance of a professional caste of musicians, etc. The word ''music'' comes from the Muses, the daughters of Zeus and patron goddesses of creative and intellectual endeavours. Concerning the origin of music and musical instruments: the history of music in ancient Greece is so closely interwoven wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minor Second
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. fro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unison
Unison (stylised as UNISON) is a Great Britain, British trade union. Along with Unite the Union, Unite, Unison is one of the two largest trade unions in the United Kingdom, with over 1.2 million members who work predominantly in public services, including local government, education, health and outsourcing, outsourced services. The union was formed in 1993 when three public sector trade unions, the National Association of Local Government Officers, National and Local Government Officers Association (NALGO), the National Union of Public Employees (NUPE) and the Confederation of Health Service Employees (COHSE) merged. UNISON's current general secretary is Christina McAnea, who replaced Dave Prentis in 2021. Members and organisation Members of UNISON are typically from industries within the public sector and generally cover both full-time and part-time support and administrative staff. The majority of people joining UNISON are workers within sectors such as local government, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
Octave Equivalence
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. Ex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piano Keyboard
A musical keyboard is the set of adjacent depressible levers or keys on a musical instrument. Keyboards typically contain keys for playing the twelve notes of the Western musical scale, with a combination of larger, longer keys and smaller, shorter keys that repeats at the interval of an octave. Pressing a key on the keyboard makes the instrument produce sounds—either by mechanically striking a string or tine ( acoustic and electric piano, clavichord), plucking a string (harpsichord), causing air to flow through a pipe organ, striking a bell (carillon), or activating an electronic circuit (synthesizer, digital piano, electronic keyboard). Since the most commonly encountered keyboard instrument is the piano, the keyboard layout is often referred to as the piano keyboard or simply piano keys. Description The twelve notes of the Western musical scale are laid out with the lowest note on the left. The longer keys (for the seven "natural" notes of the C major scale: C, D, E, F, G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frequency
Frequency is the number of occurrences of a repeating event per unit of time. Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibratory phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light. The interval of time between events is called the period. It is the reciprocal of the frequency. For example, if a heart beats at a frequency of 120 times per minute (2 hertz), its period is one half of a second. Special definitions of frequency are used in certain contexts, such as the angular frequency in rotational or cyclical properties, when the rate of angular progress is measured. Spatial frequency is defined for properties that vary or cccur repeatedly in geometry or space. The unit of measurement of frequency in the International System of Units (SI) is the hertz, having the symbol Hz. Definitions and units For cyclical phenomena such as oscillations, waves, or for examp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tetrachord
In music theory, a tetrachord (; ) is a series of four notes separated by three interval (music), intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cent (music), cents)—but in modern use it means any four-note segment of a scale (music), scale or tone row, not necessarily related to a particular tuning system. History The name comes from ''tetra'' (from Greek—"four of something") and ''chord'' (from Greek ''chordon''—"string" or "note"). In ancient Greek music theory, ''tetrachord'' signified a segment of the Musical system of ancient Greece#Systema ametabolon, an overview of the tone system, greater and lesser perfect systems bounded by ''immovable'' notes (); the notes between these were ''movable'' (). It literally means ''four strings'', originally in reference to harp-like instruments such as the lyre or the kithara, with the implicit understanding that the four strings produced a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scale (music)
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, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eratosthenes
Eratosthenes of Cyrene (; ; – ) was an Ancient Greek polymath: a Greek mathematics, mathematician, geographer, poet, astronomer, and music theory, music theorist. He was a man of learning, becoming the chief librarian at the Library of Alexandria. His work is comparable to the study of geography, and he introduced some of the terminology, even coining the terms geography and geographer. He is best known for being the first person known to calculate the Earth's circumference, which he did by using the extensive survey results he could access in his role at the Library. His calculation was remarkably accurate (his error margin turned out to be less than 1%). He was the first to calculate Earth's axial tilt, which similarly proved to have remarkable accuracy. He created the Eratosthenes' Map of the World, first global projection of the world, incorporating Circle of latitude, parallels and Longitude, meridians based on the available geographic knowledge of his era. Eratosth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tetrachord
In music theory, a tetrachord (; ) is a series of four notes separated by three interval (music), intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cent (music), cents)—but in modern use it means any four-note segment of a scale (music), scale or tone row, not necessarily related to a particular tuning system. History The name comes from ''tetra'' (from Greek—"four of something") and ''chord'' (from Greek ''chordon''—"string" or "note"). In ancient Greek music theory, ''tetrachord'' signified a segment of the Musical system of ancient Greece#Systema ametabolon, an overview of the tone system, greater and lesser perfect systems bounded by ''immovable'' notes (); the notes between these were ''movable'' (). It literally means ''four strings'', originally in reference to harp-like instruments such as the lyre or the kithara, with the implicit understanding that the four strings produced a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
