Topic 28: Serial positioning of 22 Shrutis according to accurate adjacent ratios.

Adjacent ratio is a ratio between the frequency of the 2 successive Shrutis.

I worked out the 'Adjacent ratios' between all 22 shrutis and they showed a definite repetitive pattern or a unique formula, with age-old mathematical numbers governing the ratios such as the Pythagoran Limma, and Syntonic Comma.

palm_ratio_between_shruti

Figure shows the definite repetitive pattern of ratios between adjacent shrutis.

Let us take Shadja as that of the middle C in the keyboard, with the ET frequency of 261.6255528 Hz (Obtained by dividing 440 by 1.0594631, by 9 times).

Shrutis are based on 3 Successive or Adjacent Ratios as shown below. (Refer to following tables)

principle_adjacent_ratios

Table shows 3 Principle Adjacent ratios for 22 Shrutis

code_adjacent_ratios

Table shows the working of the Code of Adjacent ratios

Thus the cycle of the chain of adjacent ratios:

  • 1,3,2,3 1,3,2,3 1,3,2,3, 1 operates between Shadja and Pancham, and
  • 1,3,2,3 1,3,2,3 1 operates between Pancham and Upper Shadja.

The sequence is not haphazard, but has a peculiar design !The values of 1, 2, and 3 are those of the Adjacent Ratios 1, 2, and 3 respectively as given above.



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