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Shí-èr-lǜ
''Shí-èr-lǜ'' (, , ''12 pitches'') (twelve-pitch scale) was a standardized gamut of twelve notes. Also known, rather misleadingly, as the Chinese chromatic scale, it was one kind of chromatic scale used in ancient Chinese music. The Chinese scale uses the same intervals as the Pythagorean scale, based on 3:2 ratios (8:9, 16:27, 64:81, etc.). The gamut or its subsets were used for tuning and are preserved in bells and pipes. Unlike the Western chromatic scale, the shí-èr-lǜ was not used as a scale in its own right; it is rather a set of fundamental notes on which other scales were constructed.Needham, Joseph (1962/2004). ''Science and Civilization in China, Vol. IV: Physics and Physical Technology'', p.170-171. . The first reference to "standardization of bells and pitch" dates back to around 600 BCE, while the first description of the generation of pitches dates back to around 240 CE. Note names * 黃鐘 (黄钟) - Huáng Zhōng - tonic/unison - 1 : 1 - * 大呂 ( ...
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Pythagorean Tuning
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.Bruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: McGraw-Hill). Vol. I: p. 56. . This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3. 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 syntonic temperament in which the generator is the ratio 3:2 (i.e., the untempered perfect fifth), which is ≈702 cents wide. The system dates to Ancient Mesopotamia; see . The system is named, and has been widely misattributed, to Ancient Greeks, notably Pythagoras (sixth century BC) by modern authors of music theory, while Ptolemy, and later Boethius, ascribed the divi ...
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Shí-èr-lǜ On C
''Shí-èr-lǜ'' (, , ''12 pitches'') (twelve-pitch scale) was a standardized gamut of twelve notes. Also known, rather misleadingly, as the Chinese chromatic scale, it was one kind of chromatic scale used in ancient Chinese music. The Chinese scale uses the same intervals as the Pythagorean scale, based on 3:2 ratios (8:9, 16:27, 64:81, etc.). The gamut or its subsets were used for tuning and are preserved in bells and pipes. Unlike the Western chromatic scale, the shí-èr-lǜ was not used as a scale in its own right; it is rather a set of fundamental notes on which other scales were constructed.Needham, Joseph (1962/2004). ''Science and Civilization in China, Vol. IV: Physics and Physical Technology'', p.170-171. . The first reference to "standardization of bells and pitch" dates back to around 600 BCE, while the first description of the generation of pitches dates back to around 240 CE. Note names * 黃鐘 (黄钟) - Huáng Zhōng - tonic/unison - 1 : 1 - * 大呂 ( ...
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3-limit Tuning And Intervals
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.Bruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: McGraw-Hill). Vol. I: p. 56. . This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3. 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 syntonic temperament in which the generator is the ratio 3:2 (i.e., the untempered perfect fifth), which is ≈702 cents wide. The system dates to Ancient Mesopotamia; see . The system is named, and has been widely misattributed, to Ancient Greeks, notably Pythagoras (sixth century BC) by modern authors of music theory, while Ptolemy, and later Boethius, ascribed the divis ...
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Chinese Music
Music of China refers to the music of the Chinese people, which may be the music of the Han Chinese The Han Chinese () or Han people (), are an East Asian ethnic group native to China. They constitute the world's largest ethnic group, making up about 18% of the global population and consisting of various subgroups speaking distinctive va ... in the course of History of China, Chinese history as well as Ethnic groups in China, ethnic minorities in today's China. It also includes music produced by people of Chinese origin in some territories outside mainland China using traditional Chinese instruments or in the Chinese language. It includes forms from the traditional and modern, Western inspired, commercial popular music, folk, art, and classical forms, and innovative combinations of them. Documents and archaeological artifacts from early History of China, Chinese civilization show a well-developed musical culture as early as the Zhou dynasty (1122 BC – 256 BC) that set ...
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Chromatic Scale
The chromatic scale (or twelve-tone scale) is a set of twelve pitches (more completely, pitch classes) used in tonal music, with notes separated by the interval of a semitone. Chromatic instruments, such as the piano, are made to produce the chromatic scale, while other instruments capable of continuously variable pitch, such as the trombone and violin, can also produce microtones, or notes between those available on a piano. Most music uses subsets of the chromatic scale such as diatonic scales. While the chromatic scale is fundamental in western music theory, it is seldom directly used in its entirety in musical compositions or improvisation. Definition The chromatic scale is a musical scale with twelve pitches, each a semitone, also known as a half-step, above or below its adjacent pitches. As a result, in 12-tone equal temperament (the most common tuning in Western music), the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic scale ...
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Music Of China
Music of China refers to the music of the Chinese people, which may be the music of the Han Chinese in the course of Chinese history as well as ethnic minorities in today's China. It also includes music produced by people of Chinese origin in some territories outside mainland China using traditional Chinese instruments or in the Chinese language. It includes forms from the traditional and modern, Western inspired, commercial popular music, folk, art, and classical forms, and innovative combinations of them. Documents and archaeological artifacts from early Chinese civilization show a well-developed musical culture as early as the Zhou dynasty (1122 BC – 256 BC) that set the tone for the continual development of Chinese musicology in following dynasties. These developed into a wide variety of forms through succeeding dynasties, producing the heritage that is part of the Chinese cultural landscape today. Traditional forms continued to evolve in the modern times, and over the cour ...
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Pythagorean Interval
In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa.Benson, Donald C. (2003). ''A Smoother Pebble: Mathematical Explorations'', p.56. . "The frequency ratio of every Pythagorean interval is a ratio between a power of two and a power of three...confirming the Pythagorean requirements that all intervals be associated with ratios of whole numbers." For instance, the perfect fifth with ratio 3/2 (equivalent to 31/ 21) and the perfect fourth with ratio 4/3 (equivalent to 22/ 31) are Pythagorean intervals. All the intervals between the notes of a scale are Pythagorean if they are tuned using the Pythagorean tuning system. However, some Pythagorean intervals are also used in other tuning systems. For instance, the above-mentioned Pythagorean perfect fifth and fourth are also used in just intonation. Interval table Notice that the terms ''ditone'' and ''semiditone'' are specific ...
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Chinese Musicology
Chinese musicology is the academic study of traditional Chinese music. This discipline has a very long history. Traditional Chinese music can be traced back to around 8,000 years ago during the Neolithic age. The concept of music, called 乐 (yuè), stands among the oldest categories of Chinese thought; however, in the known sources it does not receive a fairly clear definition until the writing of the ''Classic of Music'' (lost during the Han dynasty). Music scales The first musical scales were derived from the harmonic series. On the Guqin (a traditional instrument) all of the dotted positions are equal string length divisions related to the open string like 1/2, 1/3, 2/3, 1/4, 3/4, etc. and are quite easy to recognize on this instrument. The Guqin has a scale of 13 positions all representing a natural harmonic position related to the open string. The ancient Chinese defined, by mathematical means, a gamut or series of 十二律 (Shí-èr-lǜ), meaning twelve lǜ, from which ...
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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 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 occurs above the ...
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Chinese Music Gamut & Scales
Chinese can refer to: * Something related to China * Chinese people, people of Chinese nationality, citizenship, and/or ethnicity **''Zhonghua minzu'', the supra-ethnic concept of the Chinese nation ** List of ethnic groups in China, people of various ethnicities in contemporary China ** Han Chinese, the largest ethnic group in the world and the majority ethnic group in Mainland China, Hong Kong, Macau, Taiwan, and Singapore ** Ethnic minorities in China, people of non-Han Chinese ethnicities in modern China ** Ethnic groups in Chinese history, people of various ethnicities in historical China ** Nationals of the People's Republic of China ** Nationals of the Republic of China ** Overseas Chinese, Chinese people residing outside the territories of Mainland China, Hong Kong, Macau, and Taiwan * Sinitic languages, the major branch of the Sino-Tibetan language family ** Chinese language, a group of related languages spoken predominantly in China, sharing a written script (Chinese c ...
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Octave
In music, an octave ( la, octavus: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. 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'' ( it, all'ottava), ''8va bassa'' ( it, all'ottava bassa, sometimes also ''8vb''), or simply ''8'' for the octave in the direction indicated by placing ...
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