Government of IndiaA 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.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 |
| 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.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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