Musical notation
India

The Samaveda text (1200 BCE – 1000 BCE) contains notated melodies, and these are probably the world's oldest surviving ones. The musical notation is written usually immediately above, sometimes within, the line of Samaveda text, either in syllabic or a numerical form depending on the Samavedic Sakha (school). The Indian scholar and musical theorist Pingala (c. 200 BCE), in his Chanda Sutra, used marks indicating long and short syllables to indicate meters in Sanskrit poetry.

A rock inscription from circa 7th–8th century CE at Kudumiyanmalai, Tamil Nadu contains an early example of a musical notation. It was first identified and published by archaeologist/epigraphist D. R. Bhandarkar. Written in the Pallava-grantha script of the 7th century, it contains 38 horizontal lines of notations inscribed on a rectangular rock face (dimension of around 13 by 14 feet). Each line of the notation contains 64 characters (characters representing musical notes), written in groups of four notes. The basic characters for the seven notes, 'sa ri ga ma pa dha ni', are seen to be suffixed with the vowels a, i, u, e. For example, in the place of 'sa', any one of 'sa', 'si', 'su' or 'se' is used. Similarly, in place of ri, any one of 'ra', 'ri', 'ru' or 're' is used. Horizontal lines divide the notation into 7 sections. Each section contains 4 to 7 lines of notation, with a title indicating its musical 'mode'. These modes may have been popular at least from the 6th century CE and were incorporated into the Indian 'raga' system that developed later. But some of the unusual features seen in this notation have been given several non-conclusive interpretations by scholars.

In the notation of Indian rāga, a solfege-like system called sargam is used. As in Western solfege, there are names for the seven basic pitches of a major scale (Shadja, Rishabha, Gandhara, Madhyama, Panchama, Dhaivata and Nishada, usually shortened to Sa Re Ga Ma Pa Dha Ni). The tonic of any scale is named Sa, and the dominant Pa. Sa is fixed in any scale, and Pa is fixed at a fifth above it (a Pythagorean fifth rather than an equal-tempered fifth). These two notes are known as achala swar ('fixed notes').

Each of the other five notes, Re, Ga, Ma, Dha and Ni, can take a 'regular' (shuddha) pitch, which is equivalent to its pitch in a standard major scale (thus, shuddha Re, the second degree of the scale, is a whole-step higher than Sa), or an altered pitch, either a half-step above or half-step below the shuddha pitch. Re, Ga, Dha and Ni all have altered partners that are a half-step lower (Komal-"flat") (thus, komal Re is a half-step higher than Sa).

Ma has an altered partner that is a half-step higher (teevra -"sharp") (thus, tivra Ma is an augmented fourth above Sa). Re, Ga, Ma, Dha and Ni are called vikrut swar ('movable notes'). In the written system of Indian notation devised by Ravi Shankar, the pitches are represented by Western letters. Capital letters are used for the achala swar, and for the higher variety of all the vikrut swar. Lowercase letters are used for the lower variety of the vikrut swar.

Other systems exist for non-twelve-tone equal temperament and non-Western music, such as the Indian Swaralipi.
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