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A mathematical model of the Shuruti-Swara-Grama-Murcchana-Jati system

  • Author :Arnold, E. James
  • Keywords :Music
    Music theory
  • Issue Date :1983
  • Publisher :Sangeet Natak Akademi, New Delhi
  • Description :The first section of this paper considers the mathematical and musical principles by which the shruti positions (note positions in the system of "just intonation") are determined. A system of shorthand tuning symbols is given by which the tuning procedures for each of the shruti positions is concisely expressed. Using these symbols to summarize the appropriate tuning procedures, the positions of the shrutis are given in tables of families. Then follows a description of a simple mathematical model of the shruti-swara-grama-murccltana system of Bharata ,Dattila,and Sharangadeva. A study of the harmonic structure of the gramas(fundamental scales) reveals that the principle scale-types employed in Hindustani classical music form a 'main-sequence' of scales directly relatable to the harmonic structure of the ancient gramas. This is summarized in a table of the 'extended murcchana series' of scales derivable from the Ma and Sa gramas.
  • Source :Sangeet Natak Akademi
  • Type :Article
  • Received From :Sangeet Natak Akademi
DC Field Value
dc.contributor.author Arnold, E. James
dc.date.accessioned 2017-06-22T05:19:18Z
dc.date.available 2017-06-22T05:19:18Z
dc.date.issued 1983
dc.description.abstract The first section of this paper considers the mathematical and musical principles by which the shruti positions (note positions in the system of "just intonation") are determined. A system of shorthand tuning symbols is given by which the tuning procedures for each of the shruti positions is concisely expressed. Using these symbols to summarize the appropriate tuning procedures, the positions of the shrutis are given in tables of families. Then follows a description of a simple mathematical model of the shruti-swara-grama-murccltana system of Bharata ,Dattila,and Sharangadeva. A study of the harmonic structure of the gramas(fundamental scales) reveals that the principle scale-types employed in Hindustani classical music form a 'main-sequence' of scales directly relatable to the harmonic structure of the ancient gramas. This is summarized in a table of the 'extended murcchana series' of scales derivable from the Ma and Sa gramas.
dc.source Sangeet Natak Akademi
dc.format.extent 29-41 p.
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/123456789/3256
dc.language.iso en
dc.publisher Sangeet Natak Akademi, New Delhi
dc.subject Music
Music theory
dc.type Article
dc.identifier.issuenumber 67
dc.format.medium text

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