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Śruti (music) - Wikipedia, the free encyclopedia

Śruti (music)

From Wikipedia, the free encyclopedia

For other uses, see śruti.
Indian Music
Indian classical music
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Hindustani music
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Śruti
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The śruti (Sanskrit "thing heard", "sound") is the smallest interval of the tuning system of Indian classical music. Canonically, there are 22 śruti in the octave, although systems with more or fewer śruti have been proposed. Here they are given in terms of just intonation, although many authors assume schismatic temperament implicitly.

There are three kinds of śruti:

  • The pramāṇa ("measuring" or "standard") śruti, 81/80, equal to the syntonic comma
  • The nyūna ("deficient") śruti, 25/24, the difference between a 6/5 minor third and a 5/4 major third
  • The pūraṇa ("fulfilling") śruti, 256/243, equal to the Pythagorean limma

Together these three intervals can form any interval of 5-limit just intonation. In mathematical terms, they form a basis for the vector space.

Note that the same interval is always composed of the same number of śruti. 16/15 is 2 śruti, 10/9 is 3 śruti, 9/8 is 4 śruti, 4/3 is 9 śruti, 3/2 is 13 śruti, and the 2/1 octave is 22 śruti.

The word śruti is also used to refer to the pitches themselves. There are two pitches separated by a pramāṇa śruti for every pitch of the Western chromatic scale except the root and the fifth (which are often the two drones), resulting in a total of 22.

Number of śruti above the tonic Ratio Cents Kind of śruti to next pitch Southern names Northern names
0 1/1 0 pūraṇa Shadaja Shadaja
1 256/243 90.2 pramāṇa Guali Rishabha, Ekasruti Rishabha Komal Rishabha
2 16/15 111.7 nyūna Suddha Rishabha, Dvisruti Rishabha Madhya Rishabha
3 10/9 182.4 pramāṇa Trisruti Rishabha Suddha Rishabha
4 9/8 203.9 pūraṇa Chatussruti Rishabha Tivra Rishabha
5 32/27 294.1 pramāṇa Suddha Gandhara, Bhairavi Gandhara Ati-komal Gandhara
6 6/5 315.6 nyūna Shatsruti Rishabha, Sadharana Gandhara Komal Gandhara
7 5/4 386.3 pramāṇa Antara Gandhara Suddha Gandhara
8 81/64 407.8 pūraṇa Chyuta Madhyan Ga, Tivra Antara Ga Tivra Gandhara
9 4/3 498.1 pramāṇa Suddha Madhyama Suddha Madhyama
10 27/20 519.6 nyūna Begada Madhyama, Tivra Suddha Ma Ekasruti Madhyama
11 45/32 590.2 pramāṇa Prati Madhyana Tivra Madhyama
12 729/512 611.7 pūraṇa Chyutta Panchama Tivratara Madhyama
13 3/2 701.9 pūraṇa Panchama Panchama
14 128/81 792.2 pramāṇa Ekasruti Dhaivata Ati-komal Dhaivata
15 8/5 813.7 nyūna Suddha Dhaivata, Dvisruti Dhaivata Komal Dhaivata
16 5/3 884.4 pramāṇa Trisruti Dhaivata Suddha Dhaivata
17 27/16 905.9 pūraṇa Chatussruti Dhaivata Tivra Dhaivata
18 16/9 996.1 pramāṇa Suddha Nishada, Komal Kaisiki Ni Ati-komal Nishad
19 9/5 1017.6 nyūna Shatsruti Dhaivata, Kaisiki Nishada Komal Nishad
20 15/8 1088.3 pramāṇa Kakali Nishada Suddha Nishad
21 243/128 1109.8 pūraṇa Chyuta Shadia Nishada Tivra Nishad
22 2/1 1200 pūraṇa Shadaja Shadaja

The word śruti is also used to refer to the fundamental pitch, tonic, or key note used in a particular performance.

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