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Article: The twenty-two Shruti-s of Indian Music

 
By Haresh Bakshi
 
 
Sl#/shruti# Shruti symbol Value in ratio Value (six decimals) Value in Cents
1 S 1/1 1.000000 0
2 r1 256/243 1.053498 90
3 r2 16/15 1.068065 114
4 r3 10/9 1.109569 180
5 r4 9/8 1.125000 204
6 g1 32/27 1.185185 294
7 g2 6/5 1.201636 318
8 g3 5/4 1.248331 384
9 g4 81/64 1.265625 408
10 m1 4/3 1.333333 498
11 m2 27/20 1.351911 522
12 m3 45/32 1.404445 588
13 m4 64/45 1.423828 612
14 P 3/2 1.500000 702
15 d1 128/81 1.580247 792
16 d2 8/5 1.602140 816
17 d3 5/3 1.664397 882
18 d4 27/16 1.687500 906
19 n1 16/9 1.777778 996
20 n2 9/5 1.802501 1020
21 n3 15/8 1.872545 1086
22 n4 243/128 1.898438 1110

Compare the above with S. Ramanathan's and Erv Wilson's ratios:

1/1
256/243
16/15
10/9
9/8
32/27
6/5
5/4
81/64
4/3
27/20
45/32
729/512
3/2
128/81
8/5
5/3
27/16
16/9
9/5
15/8
243/128
(2/1)
(The ratios given above form the MODERN INDIAN GAMUT)

And also:

C -- 1/1

Db low -- 256/243 (though 135/128 is 2 cents away)
Db high -- 16/15

D low -- 10/9
D high -- 9/8

Eb low -- 32/27
Eb high -- 6/5

E low -- 5/4
E high -- 81/64

F low -- 4/3
F high -- 27/20

F# low -- 45/32
F# high -- 729/512 (though 64/45 is 2 cents away)

G -- 3/2

Ab low -- 128/81
Ab high -- 8/5

A low -- 5/3
A high -- 27/16

Bb low -- 16/9
Bb high -- 9/5

B low -- 15/8
B high -- 243/128

C -- 2/1

You'll find some variations in various works on the subject.

2003/12/04

 

 

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