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Crab Canon
A crab canon (also known by the Latin form of the name, ''canon cancrizans''; as well as ''retrograde canon'', ''canon per recte et retro'' or ''canon per rectus et inversus'')Kennedy, Michael (ed.). 1994. "Canon". The Oxford Dictionary of Music, associate editor, Joyce Bourne. Oxford and New York: Oxford University Press. . is an arrangement of two musical lines that are complementary and backward. If the two lines were placed next to each other (as opposed to stacked), the lines would form something conceptually similar to a palindrome. The name 'crab' refers to the fact that crabs are known to walk backward (although they can also walk forward and sideways). It originally referred to a kind of canon in which one line is played backward (e.g. FABACEAE played simultaneously with EAECABAF). An example is found in J. S. Bach's ''The Musical Offering'', which also contains a table canon ("Quaerendo invenietis"), which combines retrogression with inversion by having one player tu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Crab Canon
A crab canon (also known by the Latin form of the name, ''canon cancrizans''; as well as ''retrograde canon'', ''canon per recte et retro'' or ''canon per rectus et inversus'')Kennedy, Michael (ed.). 1994. "Canon". The Oxford Dictionary of Music, associate editor, Joyce Bourne. Oxford and New York: Oxford University Press. . is an arrangement of two musical lines that are complementary and backward. If the two lines were placed next to each other (as opposed to stacked), the lines would form something conceptually similar to a palindrome. The name 'crab' refers to the fact that crabs are known to walk backward (although they can also walk forward and sideways). It originally referred to a kind of canon in which one line is played backward (e.g. FABACEAE played simultaneously with EAECABAF). An example is found in J. S. Bach's ''The Musical Offering'', which also contains a table canon ("Quaerendo invenietis"), which combines retrogression with inversion by having one player tu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Requiescat Infini
Rest in peace (RIP), a phrase from the Latin (), is sometimes used in traditional Christian services and prayers, such as in the Catholic, Lutheran, Anglican, and Methodist denominations, to wish the soul of a decedent eternal rest and peace. It became ubiquitous on headstones in the 18th century, and is widely used today when mentioning someone's death. Description The phrase ''dormit in pace'' (English: " esleeps in peace") was found in the catacombs of the early Christians and indicated that "they died in the peace of the Church, that is, united in Christ." The abbreviation R.I.P., meaning ''Requiescat in pace'', "Rest in peace", continues to be engraved on the gravestones of Christians, especially in the Catholic, Lutheran, and Anglican denominations. In the Tridentine Requiem Mass of the Catholic Church the phrase appears several times. Other variations include "Requiescat in pace et in amore" for " ay he/sherest in peace and love", and "In pace requiescat et in amor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Palindrome
A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the words ''madam'' or ''racecar'', the date and time ''11/11/11 11:11,'' and the sentence: "A man, a plan, a canal – Panama". The 19-letter Finnish word ''saippuakivikauppias'' (a soapstone vendor), is the longest single-word palindrome in everyday use, while the 12-letter term ''tattarrattat'' (from James Joyce in '' Ulysses'') is the longest in English. The word ''palindrome'' was introduced by English poet and writer Henry Peacham in 1638.Henry Peacham, ''The Truth of our Times Revealed out of One Mans Experience'', 1638p. 123/ref> The concept of a palindrome can be dated to the 3rd-century BCE, although no examples survive; the first physical examples can be dated to the 1st-century CE with the Latin acrostic word square, the Sator Square (contains both word and sentence palindromes), and the 4th-century Greek Byzantine sentence palindrome '' ni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canon (music)
In music, a canon is a contrapuntal ( counterpoint-based) compositional technique that employs a melody with one or more imitations of the melody played after a given duration (e.g., quarter rest, one measure, etc.). The initial melody is called the leader (or ''dux''), while the imitative melody, which is played in a different voice, is called the follower (or ''comes''). The follower must imitate the leader, either as an exact replication of its rhythms and intervals or some transformation thereof. Repeating canons in which all voices are musically identical are called rounds—"Row, Row, Row Your Boat" and "Frère Jacques" are popular examples. An accompanied canon is a canon accompanied by one or more additional independent parts that do not imitate the melody. History Medieval and Renaissance During the Middle Ages, Renaissance, and Baroque—that is, through the early 18th century—any kind of imitative musical counterpoints were called fugues, with the strict ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Musical Offering
''The Musical Offering'' (German: or ), Bach-Werke-Verzeichnis, BWV 1079, is a collection of keyboard canon (music), canons and fugues and other pieces of music by Johann Sebastian Bach, all based on a single musical Subject (music), theme given to him by Frederick the Great (King Frederick II of Prussia), to whom they are dedicated. They were published in September 1747. The ''Ricercar a 6'', a six-voice fugue which is regarded as the high point of the entire work, was put forward by the musicologist Charles Rosen as the most significant piano composition in history (partly because it is one of the first). This ricercar is also occasionally called the ''Prussian Fugue'', a name used by Bach himself. The composition is featured in the opening section of Douglas Hofstadter's Pulitzer Prize winning book ''Gödel, Escher, Bach'' (1979). History The collection has its roots in a meeting between Bach and Frederick II on May 7, 1747 in music, 1747. The meeting, taking place at the kin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Table Canon
A Table canon is a retrograde and inverse canon meant to be placed on a table in between two musicians, who both read the same line of music in opposite directions. As both parts are included in each single line, a second line is not needed. Bach's ''The Musical Offering'' contains a table canon. See also * Mirror canon *Crab canon A crab canon (also known by the Latin form of the name, ''canon cancrizans''; as well as ''retrograde canon'', ''canon per recte et retro'' or ''canon per rectus et inversus'')Kennedy, Michael (ed.). 1994. "Canon". The Oxford Dictionary of Musi ... References Polyphonic form {{Music-theory-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Retrograde (music)
A melodic line that is the reverse of a previously or simultaneously stated line is said to be its retrograde or cancrizans ("walking backward", medieval Latin, from ''cancer'', crab). An exact retrograde includes both the pitches and rhythms in reverse. An even more exact retrograde reverses the physical contour of the notes themselves, though this is possible only in electronic music. Some composers choose to subject just the pitches of a musical line to retrograde, or just the rhythms. In twelve-tone music, reversal of the pitch classes alone—regardless of the melodic contour created by their registral placement—is regarded as a retrograde. In modal and tonal music In treatises Retrograde was not mentioned in theoretical treatises prior to 1500.Newes, p. 218. Nicola Vicentino (1555) discussed the difficulty in finding canonic imitation: "At times, the fugue or canon cannot be discovered through the systems mentioned above, either because of the impediment of rest ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Melodic Inversion
In music theory, an inversion is a type of change to intervals, chords, voices (in counterpoint), and melodies. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory. Intervals An interval is inverted by raising or lowering either of the notes by one or more octaves so that the positions of the notes reverse (i.e. the higher note becomes the lower note and vice versa). For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved. : The tables to the right show the changes in interval quality and interval number under inversion. Thus, perfect intervals remain perfect, major intervals become minor and vice versa, and augmented intervals become diminished and vice versa. (Doubly diminished intervals become doubly augmen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gödel, Escher, Bach
''Gödel, Escher, Bach: an Eternal Golden Braid'', also known as ''GEB'', is a 1979 book by Douglas Hofstadter. By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher, and composer Johann Sebastian Bach, the book expounds concepts fundamental to mathematics, symmetry, and intelligence. Through short stories, illustrations, and analysis, the book discusses how systems can acquire meaningful context despite being made of "meaningless" elements. It also discusses self-reference and formal rules, isomorphism, what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter emphasized that ''Gödel, Escher, Bach'' is not about the relationships of mathematics, art, and music—but rather about how cognition emerges from hidden neurological mechanisms. One point in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Douglas Hofstadter
Douglas Richard Hofstadter (born February 15, 1945) is an American scholar of cognitive science, physics, and comparative literature whose research includes concepts such as the sense of self in relation to the external world, consciousness, analogy-making, artistic creation, literary translation, and discovery in mathematics and physics. His 1979 book '' Gödel, Escher, Bach: An Eternal Golden Braid'' won both the Pulitzer Prize for general nonfiction"General Nonfiction" . ''Past winners and finalists by category''. The Pulitzer Prizes. Retrieved March 17, 2012. and a (at that time called The American Book Award) for Science. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mirror Canon
The mirror canon (also called a canon by contrary motion) is a type of canon which involves the leading voice being played alongside its own inversion (i.e. upside-down). The realisation from the 'closed' (unrealised) form can be effected by placing the page in front of a mirror, thus upside down, and beginning with the already progressing first voice. The Canon a 2 'Quaerendo invenietis' from J. S. Bach's '' The Musical Offering'', BWV 1079, is a fine example of the process. In its original closed form, the alto clef and an upside-down bass clef indicate both the mirror procedure and the appropriate pitches of the voices for the purpose of realisation. A spectacular example of contrapuntal ingenuity can be found in the double canon that forms the trio section of Mozart's Serenade for Wind Octet in C, K. 388. Here a pair of oboes and a pair of bassoons unfold two mirror canons at the same time. Erik Smith sees this as "a perfect example of Mozart's use of academic means, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
