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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 ... [...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] |
Christiaan Huygens
Christiaan Huygens, Halen, Lord of Zeelhem, ( , ; ; also spelled Huyghens; ; 14 April 1629 – 8 July 1695) was a Dutch mathematician, physicist, engineer, astronomer, and inventor who is regarded as a key figure in the Scientific Revolution. In physics, Huygens made seminal contributions to optics and mechanics, while as an astronomer he studied the rings of Saturn and discovered its largest moon, Titan (moon), Titan. As an engineer and inventor, he improved the design of telescopes and invented the pendulum clock, the most accurate timekeeper for almost 300 years. A talented mathematician and physicist, his works contain the first idealization of a physical problem by a set of Mathematical model, mathematical parameters, and the first mathematical and mechanistic explanation of an unobservable physical phenomenon.Dijksterhuis, F.J. (2008) Stevin, Huygens and the Dutch republic. ''Nieuw archief voor wiskunde'', ''5'', pp. 100–10/ref> Huygens first identified the correct la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Septimal Tritone
A septimal tritone is a tritone (about one half of an octave) that involves the factor seven. There are two that are inverses. The lesser septimal tritone (also Huygens' tritone) is the musical interval with ratio 7:5 (582.51 cents). The greater septimal tritone (also Euler's tritone), is an interval with ratio 10:7 (617.49 cents). They are also known as the sub-fifth and super-fourth, or subminor fifth and supermajor fourth, respectively. The 7:5 interval (diminished fifth) is equal to a 6:5 minor third plus a 7:6 subminor third. The 10:7 interval (augmented fourth) is equal to a 5:4 major third plus an 8:7 supermajor second, or a 9:7 supermajor third plus a 10:9 major second. The difference between these two is the septimal sixth tone (50:49, 34.98 cents) . 12 equal temperament and 22 equal temperament do not distinguish between these tritones; 19 equal temperament does distinguish them but doesn't match them closely. 31 equal temperament and 41 equal temperament both di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minor Sixth
In music theory, a minor sixth is a musical interval encompassing six staff positions (see Interval number for more details), and is one of two commonly occurring sixths (the other one being the major sixth). It is qualified as ''minor'' because it is the smaller of the two: the minor sixth spans eight semitones, the major sixth nine. For example, the interval from A to F is a minor sixth, as the note F lies eight semitones above A, and there are six staff positions from A to F. Diminished and augmented sixths span the same number of staff positions, but consist of a different number of semitones (seven and ten respectively). Equal temperament In 12-tone equal temperament (12-ET), the minor sixth is enharmonically equivalent to the augmented fifth. It occurs in first inversion major and dominant seventh chords and second inversion minor chords. It is equal to eight semitones, i.e. a ratio of 28/12:1 or simplified to 22/3:1 (about 1.587), or 800 cents. Just temperament ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Augmented Sixth
In music, an augmented sixth () is an Interval (music), interval produced by Augmentation (music), widening a major sixth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an A6 not given but general example of augmenting major intervals described. For instance, the interval from C to A is a major sixth, nine semitones wide, and both the intervals from C to A, and from C to A are augmented sixths, spanning ten semitones. Being augmented, it is considered a consonance and dissonance, dissonant interval. Its Inverted chord, inversion is the diminished third, and its enharmonic equivalent is the minor seventh. In septimal meantone temperament, it is specifically equivalent to the harmonic seventh (a just intonation, just interval of 7:4). In 12-tone equal temperament, the augmented sixth is equal to ten semitones and is a consonance and dissonance, dissonant interval. The augmented sixth is relatively rare. Its ... [...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] |
Minor Seventh
In music theory, a minor seventh is one of two musical intervals that span seven staff positions. It is ''minor'' because it is the smaller of the two sevenths, spanning ten semitones. The major seventh spans eleven. For example, the interval from A to G is a minor seventh, as the note G lies ten semitones above A, and there are seven staff positions from A to G. Diminished and augmented sevenths span the same number of staff positions, but consist of a different number of semitones (nine and twelve, respectively). Use Minor seventh intervals rarely feature in melodies (and especially in their openings) but occur more often than major sevenths. A well-known example, in part due to its frequent use in theory classes, is found between the first two words of the phrase "There's a place for us" in the song " Somewhere" in '' West Side Story''. Another well-known example occurs between the first two notes of the introduction to the main theme music from '' Star Trek: The Origi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muziekgebouw Aan 't IJ
Muziekgebouw aan 't IJ ( English: "Music Building on the IJ") is the main concert hall for contemporary classical music on the IJ in Amsterdam, Netherlands. The building opened in 2005 and is located above the IJtunnel, a ten-minute walk from Amsterdam Centraal station. The building was designed by Danish architects 3XN. The Bimhuis is part of and partly integrated in the Muziekgebouw aan 't IJ. Background Before the Muziekgebouw there was Muziekcentrum de IJsbreker located at the Weesperzijde that got shut down and replaced by the Muziekgebouw. Just like the IJsbreker the venue primarily focuses on contemporary classical music, while the Bimhuis is mainly focused on contemporary jazz music. Muziekgebouw aan 't IJ has one big concert space, but also a smaller one that is also used for conferences, talk, exhibitions. Also concerts take place at various other locations in the building such as the atrium and on the three large balconies above the restaurant. Often expositions o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Haarlem
Haarlem (; predecessor of ''Harlem'' in English language, English) is a List of cities in the Netherlands by province, city and Municipalities of the Netherlands, municipality in the Netherlands. It is the capital of the Provinces of the Netherlands, province of North Holland. Haarlem is situated at the northern edge of the Randstad, one of the Largest European cities and metropolitan areas, more populated metropolitan areas in Europe; it is also part of the Amsterdam metropolitan area. Haarlem had a population of in . Haarlem was granted city status or in 1245, although the first city walls were not built until 1270. The modern city encompasses the former municipality of Schoten, Netherlands, Schoten as well as parts that previously belonged to Bloemendaal and Heemstede. Apart from the city, the municipality of Haarlem also includes the western part of the village of Spaarndam. Newer sections of Spaarndam lie within the neighbouring municipality of Haarlemmermeer. Geography ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Teyler's Museum
Teylers Museum () is an art, natural history, and science museum in Haarlem, Netherlands. Established in 1778, Teylers Museum was founded as a centre for contemporary art and science. The historic centre of the museum is the neoclassical Oval Room (1784), which was built behind the house of Pieter Teyler van der Hulst (1702–1778), the so-called ''Fundatiehuis'' (Foundation House). Pieter Teyler was a wealthy cloth merchant and banker of Scottish descent, who bequeathed his fortune for the advancement of religion, art, and science. He was a Mennonite and follower of the Scottish Enlightenment. History In his will, Pieter Teyler stipulated that his collection and part of his fortune should be used to establish a foundation for their promotion: Teylers Stichting. The Teyler legacy to the city of Haarlem was split into two societies: Teylers First or Theological Society (Dutch: ''Teylers Eerste of Godgeleerd Genootschap''), intended for the study of religion and Teylers Second ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
