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The history of mathematical notation [1] covers the introduction, development, and cultural diffusion of mathematical symbols and the conflicts between notational methods that arise during a notation's move to popularity or obsolescence. Mathematical notation [2] comprises the symbols used to write mathematical equations and formulas.
Musical notation permits a composer to express musical ideas in a musical composition, which can be read and interpreted during performance by a trained musician; there are many different ways to do this (hundreds have been proposed), although staff notation provides by far the most widely used system of modern musical symbols.
Jeongganbo musical notation system. Jeongganbo is a traditional musical notation system created during the time of Sejong the Great that was the first East Asian system to represent rhythm, pitch, and time. [20] [21] Among various kinds of Korean traditional music, Jeong-gan-bo targets a particular genre, Jeong-ak (정악, 正樂).
This early system was called ekphonetic notation, from the Greek ἐκφώνησις ekphonesis meaning quasi-melodic recitation of text. Around the 9th century neumes began to become shorthand mnemonic aids for the proper melodic recitation of chant. [7] A prevalent view is that neumatic notation was first developed in the Eastern Roman Empire.
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics , science , and engineering for representing complex concepts and properties in a concise ...
Within the counting system used with most discrete objects (including animals like sheep), there was a token for one item (units), a different token for ten items (tens), a different token for six tens (sixties), etc. Tokens of different sizes and shapes were used to record higher groups of ten or six in a sexagesimal number system.
The musical system of ancient Greece evolved over a period of more than 500 years from simple scales of tetrachords, or divisions of the perfect fourth, into several complex systems encompassing tetrachords and octaves, as well as octave scales divided into seven to thirteen intervals.
A typical five-line staff. In Western musical notation, the staff [1] [2] (UK also stave; [3] plural: staffs or staves), [1] also occasionally referred to as a pentagram, [4] [5] [6] is a set of five horizontal lines and four spaces that each represent a different musical pitch or in the case of a percussion staff, different percussion instruments.