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Septimal Whole Tone
In music, the septimal whole tone, septimal major second, supermajor second, or septimal supermajor second is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies.Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p.131. . "Super-Major Second". It is about 231 cents wide in just intonation.Leta E. Miller, Fredric Lieberman (2006). ''Lou Harrison'', p.72. . 24 equal temperament does not match this interval particularly well, its nearest representation being at 250 cents, approximately 19 cents sharp. The septimal whole tone may be derived from the harmonic series as the interval between the seventh and eighth harmonics and the term ''septimal'' refers to the fact that it utilizes the seventh harmonic. It can also be thought of as the octave inversion of the 7/4 interval, the harmonic seventh. No close approximation to this interval exists in the standard 12 equal temperament used in most modern western mu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Seventh
The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969 cent (music), cents). This is about 32 cents narrower, with a more stable and consonant sound, than a minor seventh in equal temperament, and is up to 49 cents narrower than and is, "particularly sweet", "sweeter in quality" than an "ordinary" minor seventh, just minor seventh, which has an intonation ratio of 9:5 (about 1018 cents). The harmonic seventh arises from the Harmonic series (music), harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending on the tuning system used). Fixed pitch: Not a scale note Although the word "seventh" in the name suggests the seventh note in a scale, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Series (music)
The harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a ''fundamental frequency''. Definite pitch, Pitched musical instruments are often based on an Acoustics, acoustic resonator such as a String (music), string or a column of air, which Oscillation, oscillates at numerous Normal mode, modes simultaneously. As waves travel in both directions along the string or air column, they reinforce and cancel one another to form standing waves. Interaction with the surrounding air produces audible sound waves, which travel away from the instrument. These frequencies are generally integer multiples, or harmonics, of the Fundamental frequency, fundamental and such multiples form the Harmonic series (mathematics), harmonic series. The fundamental, which is usually perceived as the lowest #Partial, partial present, is generally perceived as the Pitch (music), pitch of a musical tone. The musical timbre of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seconds (music)
The second (symbol: s) is a unit of time derived from the division of the day first into 24 hours, then to 60 minutes, and finally to 60 seconds each (24 × 60 × 60 = 86400). The current and formal definition in the International System of Units (SI) is more precise: The second ..is defined by taking the fixed numerical value of the caesium frequency, Δ''ν''Cs, the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom, to be when expressed in the unit Hz, which is equal to s−1. This current definition was adopted in 1967 when it became feasible to define the second based on fundamental properties of nature with caesium clocks. As the speed of Earth's rotation varies and is slowing ever so slightly, a leap second is added at irregular intervals to civil time to keep clocks in sync with Earth's rotation. The definition that is based on of a rotation of the earth is still used by the Universal Time 1 (UT1) system. Etymology "Minute" comes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
5 Equal Temperament
An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same. This system yields 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 12th root of 2, (\sqrt 2/math> ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western countries the term ''equal temperament'', without qualification, generally means '. In modern times, is usually tuned relative to a standa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Origin Of Seconds And Thirds In Harmonic Series
Origin(s) or The Origin may refer to: Arts, entertainment, and media Comics and manga * ''Origin'' (comics), a Wolverine comic book mini-series published by Marvel Comics in 2002 * ''The Origin'' (Buffy comic), a 1999 ''Buffy the Vampire Slayer'' comic book series * Origins (''Judge Dredd'' story), a major ''Judge Dredd'' storyline running from 2006 through 2007 * ''Origin'' (manga), a 2016 manga by Boichi * '' Mobile Suit Gundam: The Origin'', a 2002 manga by Yoshikazu Yasuhiko * '' Wolverine: Origins'', a Marvel Comics series * '' Atharva – The Origin'', a 2022 Indian superhero comic Films * ''Origin'' (film), a 2023 film written and directed by Ava DuVernay * '' Origin: Spirits of the Past'', a 2006 anime movie also known as ''Gin-iro no Kami no Agito'' * '' X-Men Origins: Wolverine'', a 2009 superhero film, prequel to the ''X-Men'' film trilogy * ''Out of Darkness'' (2022 film), originally titled ''The Origin'', a British horror film directed by Andrew Cumming Tel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Seventh
The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969 cent (music), cents). This is about 32 cents narrower, with a more stable and consonant sound, than a minor seventh in equal temperament, and is up to 49 cents narrower than and is, "particularly sweet", "sweeter in quality" than an "ordinary" minor seventh, just minor seventh, which has an intonation ratio of 9:5 (about 1018 cents). The harmonic seventh arises from the Harmonic series (music), harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending on the tuning system used). Fixed pitch: Not a scale note Although the word "seventh" in the name suggests the seventh note in a scale, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seventh Harmonic
Seventh is the ordinal form of the number seven. Seventh may refer to: * Seventh Amendment to the United States Constitution * A fraction (mathematics), , equal to one of seven equal parts Film and television *"The Seventh", a second-season episode of ''Star Trek: Enterprise'' Music * A seventh (interval), the difference between two pitches ** Diminished seventh, a chromatically reduced minor seventh interval ** Major seventh, the larger of two commonly occurring musical intervals that span seven diatonic scale degrees ** Minor seventh, the smaller of two commonly occurring musical intervals that span seven diatonic scale degrees ** Harmonic seventh, the interval of exactly 4:7, whose approximation to the minor seventh in equal temperament explains the "sweetness" of the dominant seventh chord in a major key ** Augmented seventh, an interval * Leading-tone or subtonic, the seventh degree and the chord built on the seventh degree * Seventh chord, a chord consisting of a triad p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
7-limit Tuning
7-limit or septimal Musical tuning#Tuning systems, tunings and interval (music), intervals are musical instrument tunings that have a limit (music), limit of seven: the largest prime number, prime factor contained in the interval ratios between pitch (music), pitches is seven. Thus, for example, 50:49 is a 7-limit interval, but 14:11 is not. For example, the greater just minor seventh, 9:5 () is a 5-limit tuning, 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3. The harmonic seventh is used in the barbershop seventh chord and barbershop music, music. () Compositions with septimal tunings include La Monte Young's ''The Well-Tuned Piano'', Ben Johnston (composer), Ben Johnston's String Quartet No. 4, Lou Harrison's ''Incidental Music for Corneille's Cinna'', and Michael Harrison (musician), Michael Harrison's ''Revelation: Music in Pure Intonation''. The Gre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complement (music)
In music theory, ''complement'' refers to either traditional interval complementation, or the aggregate complementation of twelve-tone and serialism. In interval complementation a complement is the interval which, when added to the original interval, spans an octave in total. For example, a major 3rd is the complement of a minor 6th. The complement of any interval is also known as its ''inverse'' or ''inversion''. Note that the octave and the unison are each other's complements and that the tritone is its own complement (though the latter is "re-spelt" as either an augmented fourth or a diminished fifth, depending on the context). In the aggregate complementation of twelve-tone music and serialism the complement of one set of notes from the chromatic scale contains all the ''other'' notes of the scale. For example, A-B-C-D-E-F-G is ''complemented'' by B-C-E-F-A. Note that ''musical set theory'' broadens the definition of both senses somewhat. Interval complementation Rule ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quarter Tone Scale
A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (orally, or logarithmically) as a semitone, which itself is half a whole tone. Quarter tones divide the octave by 50 cents each, and have 24 different pitches. Quarter tones have their roots in the music of the Middle East and more specifically in Persian traditional music. However, the first evidenced proposal of the equally-tempered quarter tone scale, or 24 equal temperament, was made by 19th-century music theorists Heinrich Richter in 1823Julian Rushton, "Quarter-Tone", ''The New Grove Dictionary of Music and Musicians'', second edition, edited by Stanley Sadie and John Tyrrell (London: Macmillan, 2001). and Mikhail Mishaqa about 1840. Composers who have written music using this scale include: Pierre Boulez, Julián Carrillo, Mildred Couper, George Enescu, Alberto Ginastera, Gérard Grisey, Alois Hába, Ljubica Marić, Charles Ives, Tristan Murail, Krzysztof P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
