1.
Equal temperament
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An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio. In equal temperament tunings, the interval is often found by dividing some larger desired interval, often the octave. That resulting smallest interval, 1⁄12 the width of an octave, is called a semitone or half step, the standard pitch has not always been 440 but has varied and generally risen over the past few hundred years. For example, some music has been written in 19-TET and 31-TET, in Western countries, when people use the term equal temperament without qualification, they usually mean 12-TET. To avoid ambiguity between equal temperaments that divide the octave and ones that divide some other interval, the equal division of the octave. According to this system, 12-TET is called 12-EDO, 31-TET is called 31-EDO. Other instruments, such as wind, keyboard, and fretted instruments, often only approximate equal temperament. Some wind instruments that can easily and spontaneously bend their tone, most notably trombones, use tuning similar to string ensembles, the two figures frequently credited with the achievement of exact calculation of equal temperament are Zhu Zaiyu in 1584 and Simon Stevin in 1585. Kenneth Robinson attributes the invention of equal temperament to Zhu Zaiyu, Zhu Zaiyu is quoted as saying that, in a text dating from 1584, I have founded a new system. I establish one foot as the number from which the others are to be extracted, altogether one has to find the exact figures for the pitch-pipers in twelve operations. Kuttner disagrees and remarks that his claim cannot be considered correct without major qualifications, kuttner proposes that neither Zhu Zaiyu or Simon Stevin achieved equal temperament, and that neither of the two should be treated as inventors. The origin of the Chinese pentatonic scale is traditionally ascribed to the mythical Ling Lun, allegedly his writings discussed the equal division of the scale in the 27th century BC. However, evidence of the origins of writing in this period in China is limited to rudimentary inscriptions on oracle bones, an approximation for equal temperament was described by He Chengtian, a mathematician of Southern and Northern Dynasties around 400 AD. He came out with the earliest recorded approximate numerical sequence in relation to equal temperament in history,900849802758715677638601570536509.5479450, historically, there was a seven-equal temperament or hepta-equal temperament practice in Chinese tradition. Zhu Zaiyu, a prince of the Ming court, spent thirty years on research based on the equal temperament idea originally postulated by his father and he described his new pitch theory in his Fusion of Music and Calendar 乐律融通 published in 1580. An extended account is given by Joseph Needham. Similarly, after 84 divisions the length was divided by a factor of 128,84 =27 =128, according to Gene Cho, Zhu Zaiyu was the first person to solve the equal temperament problem mathematically. Matteo Ricci, a Jesuit in China recorded this work in his personal journal, in 1620, Zhus work was referenced by a European mathematician
2.
Western culture
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The term also applies beyond Europe, to countries and cultures whose histories are strongly connected to Europe by immigration, colonization, or influence. For example, Western Culture includes countries in the Americas and Australasia, whose language, before the Cold War era, the traditional Western viewpoint identified Western Civilization with the Western Christian countries and culture. Ancient Greece is considered the birthplace of Western culture, with the worlds first democratic system of government and major advances in philosophy, science, Greece was followed by Rome, which made key contributions in law, government, engineering and political organization. European culture developed with a range of philosophy, medieval scholasticism, and mysticism. Rational thinking developed through an age of change and formation, with the experiments of the Enlightenment. More often an ideology is what will be used to categorize it as a Western society. There is some disagreement about what nations should or should not be included in the category, many parts of the Eastern Roman Empire are considered Western today but were Eastern in the past. Since the context is highly biased and context-dependent, there is no agreed definition what the West is and it is difficult to determine which individuals fit into which category and the East–West contrast is sometimes criticized as relativistic and arbitrary. Globalism has spread Western ideas so widely that almost all cultures are, to some extent. Stereotyped views of the West have been labeled Occidentalism, paralleling Orientalism—the term for the 19th-century stereotyped views of the East, as Europe discovered the wider world, old concepts adapted. The area that had formerly considered the Orient became the Near East, as the interests of the European powers interfered with Meiji Japan and Qing China for the first time. Thus, the Sino-Japanese War in 1894–1895 occurred in the Far East, the Greeks contrasted themselves to their Eastern neighbors, such as the Trojans in Iliad, setting an example for later contrasts between east and west. In the Middle Ages, the Near East provided a contrast to the West, concepts of what is the West arose out of legacies of the Western Roman Empire and the Eastern Roman Empire. Later, ideas of the west were formed by the concepts of Latin Christendom, Western culture is neither homogeneous nor unchanging. As with all cultures, it has evolved and gradually changed over time. Nevertheless, it is possible to follow the evolution and history of the West, and appreciate its similarities and differences, its borrowings from, and contributions to, other cultures of humanity. Nevertheless, the Greeks felt they were the most civilized and saw themselves as something between the wild barbarians of most of Europe and the soft, slavish Middle-Easterners. In the meantime, however, Greece, under Alexander, had become a capital of the East, the Celts also created some significant literature in the ancient world whenever they were given the opportunity
3.
Musical notation
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Types and methods of notation have varied between cultures and throughout history, and much information about ancient music notation is fragmentary. Although many ancient cultures used symbols to represent melodies and rhythms, none of them were particularly comprehensive, the seeds of what would eventually become modern western notation were sown in medieval Europe, starting with the Catholic churchs goal for ecclesiastical uniformity. The church began notating plainchant melodies so that the same chants could be used throughout the church, Music notation developed in the Renaissance and Baroque music eras. The introduction of figured bass notation in the Baroque era marked the beginning of the first compositions based around chord progressions, in the classical period and the Romantic music era, notation continued to develop as new musical instrument technologies were developed. Music notation has been adapted to many kinds of music, including music, popular music. The earliest form of notation can be found in a cuneiform tablet that was created at Nippur, in Sumer. The tablet represents fragmentary instructions for performing music, that the music was composed in harmonies of thirds, a tablet from about 1250 BC shows a more developed form of notation. Although the interpretation of the system is still controversial, it is clear that the notation indicates the names of strings on a lyre. Although they are fragmentary, these represent the earliest notated melodies found anywhere in the world. The notation consists of symbols placed above text syllables, an example of a complete composition is the Seikilos epitaph, which has been variously dated between the 2nd century BC to the 1st century AD. Three hymns by Mesomedes of Crete exist in manuscript, the Delphic Hymns, dated to the 2nd century BC, also use this notation, but they are not completely preserved. Ancient Greek notation appears to have out of use around the time of the Decline of the Roman Empire. Byzantine music has survived as music for court ceremonies, including vocal religious music. It is not known if it is based on the monodic modal singing, unlike Western notation Byzantine neumes always indicate modal steps in relation to a clef or modal key. These step symbols themselves, or better phonic neumes, resemble brush strokes and are colloquially called gántzoi in Modern Greek, Notes as pitch classes or modal keys are represented in written form only between these neumes. In modern notation they simply serve as a reminder and modal and tempo directions have been added. In Papadic notation medial signatures usually meant a change into another echos. With exception of vú and zō they do correspond to Western solmization syllables as re, mi, fa, sol, la, si
4.
Fret
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A fret is a raised element on the neck of a stringed instrument. Frets usually extend across the width of the neck. On most modern western fretted instruments, frets are metal strips inserted into the fingerboard, on some historical instruments and non-European instruments, frets are made of pieces of string tied around the neck. Frets divide the neck into fixed segments at intervals related to a musical framework, on instruments such as guitars, each fret represents one semitone in the standard western system, in which one octave is divided into twelve semitones. Fret is often used as a verb, meaning simply to press down the string behind a fret, fretting often refers to the frets and/or their system of placement. Pressing the string against the fret reduces the length of the string to that between the bridge and the next fret between the fretting finger and the bridge. This is damped if the string were stopped with the fingertip on a fretless fingerboard. Frets make it easier for a player to achieve an acceptable standard of intonation. Furthermore, a fretted fingerboard makes it easier to play chords accurately, a disadvantage of frets is that they restrict pitches to the temperament defined by the fret positions. A player may still influence intonation, however, by pulling the string to the side to increase string tension and this technique is often used by electric guitarists of all genres, and is an important part of sitar playing. On instruments with frets that are thicker off the fingerboard, string tension, sometimes a player can pull the string toward the bridge or nut, thus lowering or raising the string tension and pitch. However, except for instruments that accommodate extensive string pulling, like the sitar, since the intonation of most modern western fretted instruments is equal tempered, the ratio of the distances of two consecutive frets to the bridge is 212, or approximately 1.059463. Theoretically, the twelfth fret should divide the string in two exact halves, to compensate for the increase in string tension when the string is pressed against the frets, the bridge position is adjusted slightly so the 12th fret plays exactly in tune. Fan frets (also fanned frets, slanted frets, or multi-scale, Frets are generally perpendicular to the instruments neck centerline, on a fanned fretboard, the frets are angled with only one center fret perpendicular to the neck’s centerline. This gives the strings more length and the higher strings shorter length. The idea is to more accurate tuning and deeper bass. Some think that fanned frets might be more ergonomic, fanned frets first appeared on the 16th century Orpharion, a variant of the cittern, tuned like a lute. John Starrett revived the idea in the seventies on his innovative instrument
5.
20th-century music
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During the 20th century there was a vast increase in the variety of music that people had access to. The 20th-century orchestra was far more flexible than its predecessors and used a wider variety of instruments. In Beethovens and Felix Mendelssohns time in the 19th century, the orchestra was composed of a standard core of instruments which was very rarely modified. The 20th century saw dramatic innovations in musical forms and styles, composers and songwriters experimented with new musical styles, such as genre fusions. As well, composers and musicians used new electric, electronic, in the 1980s, some styles of music, such as electronic dance music genres such as house music were created largely with synthesizers and drum machines. Faster modes of such as jet flight allowed musicians and fans to travel more widely to perform or hear shows. Busoni, Stravinsky, Schoenberg, and Schreker were already recognized before 1914 as modernists, composers such as Ravel, Milhaud, and Gershwin combined classical and jazz idioms. Late-Romantic and modernist nationalism was also in British, American. Composers such as Ralph Vaughan Williams, Aaron Copland, Carlos Chávez, in the middle of the century composers such as Harry Partch and Ben Johnston explored just intonation. There were three schools of neoclassicism, associated with Igor Stravinsky, Paul Hindemith, and Arnold Schoenberg. Similar sympathies in the half of the century are generally subsumed under the heading postmodernism. A compositional tradition arose in the mid-20th century—particularly in North America—called experimental music and its most famous and influential exponent was John Cage. According to Cage, an action is one the outcome of which is not foreseen. Minimalist music, involving a simplification of materials and intensive repetition of motives began in the late 1950s with the composers Terry Riley, Steve Reich, later, minimalism was adapted to a more traditional symphonic setting by composers including Reich, Glass, and John Adams. For more examples see List of 20th-century classical composers, contemporary classical music can be understood as belonging to the period that started in the mid-1970s to early 1990s, which includes modernist, postmodern, neoromantic, and pluralist music. However, the term may also be employed in a sense to refer to all post-1945 musical forms. Many composers working in the early 21st century were prominent figures in the 20th century, some younger composers such as Oliver Knussen, Thomas Adès, and Michael Daugherty did not rise to prominence until late in the 20th century. For more examples see List of 21st-century classical composers, in the early twentieth century, electronic devices were invented that were capable of generating sound electronically, without an initial mechanical source of vibration
6.
Arabic music
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Arabic music or Arab music is the music of the Arab world. Arab music, while independent and flourishing in the 2010s, has a history of interaction with many other regional musical styles and genres. It is an amalgam of the music of the Arab people in the Arabian Peninsula, as was the case in other artistic and scientific fields, Arabs translated Greek texts and works of music and developed the musical theory of the Greeks. Pre-Islamic Arab music was similar to that of Ancient Middle Eastern music, most historians agree that there existed distinct forms of music in the Arabian peninsula in the pre-Islamic period between the 5th and 7th century AD. Arab poets of that time—called shuara al-Jahiliyah or Jahili poets, meaning the poets of the period of ignorance—used to recite poems with a high notes and it was believed that Jinns revealed poems to poets and music to musicians. The choir at the served as a pedagogic facility where the educated poets would recite their poems. The compositions were simple and every singer would sing in a single maqam, among the notable songs of the period were the huda, the nasb, sanad, and rukbani. Both compositions and improvisations in traditional Arabic music are based on the maqam system, maqams can be realized with either vocal or instrumental music, and do not include a rhythmic component. Al-Kindi was the first great theoretician of Arabic music and he proposed adding a fifth string to the oud and discussed the cosmological connotations of music. He built upon the achievements of the Greek musicians in using the alphabetical annotation for one eighth and he published fifteen treatises on music theory, but only five have survived. In one of his treatises the word musiqa was used for the first time in Arabic, abulfaraj wrote a book about music. Kitab al-Aghani is a collection of poems and songs that runs to over 20 volumes in modern editions. Al-Farabi wrote a book on music titled Kitab al-Musiqi al-Kabir. His pure Arabian tone system is used in Arabic music. Al-Ghazali wrote a treatise on music in Persia which declared, Ecstasy means the state comes from listening to music. In 1252, Safi al-Din developed a form of musical notation. A similar geometric representation would not appear in the Western world until 1987, by the 11th century, Islamic Iberia had become a center for the manufacture of instruments. These goods spread gradually throughout France, influencing French troubadours, the English words lute, rebec, and naker are derived from Arabic oud, rabab, and naqareh
Play (help·info)). A second is a musical interval encompassing two adjacent staff positions (see Interval number for more details). For example, the interval from C to D is a major second, as the note D lies two semitones above C, and the two notes are notated on adjacent staff positions. Diminished, minor and augmented seconds are notated on adjacent staff positions as well, but consist of a different number of semitones (zero, one, and three).
