22 Shruti Research Topics


Topic 34 : Relationship of 'Numbers generating Shrutis' and 'Prime numbers'


Dr. Vidyadhar Oke   It seems that Music and Mathematics are inseparable! The 22 Shrutis are expressed by Ratios with different numbers. For example, Ati-Komal Rishabha is expressed by a Ratio of 256/243, or Teevra Nishad by a Ratio of 243/128.

My analysis showed that precisely '22' mathematical numbers are involved in making the Ratios for all the '22' Shrutis, as shown below.

Why should only '22' numbers generate '22' Shrutis ? This shows that 22 Shrutis are truly a "Musico-Mathematical Marvel!" (Refer to following table)

Table shows the 22 Numbers determining the mathematical ratios of 22 Shrutis and the underlying prime numbers

22 Numbers determining the mathematical ratios of 22 Shrutis and the underlying prime numbers

It can be seen from the table that all the above 22 numbers are actually results of a combination of 4 prime numbers, 1, 2, 3, and 5. These 22 numbers give birth to 22 Shrutis. It is also argued that the world we can perceive is made up of 'Panch-Maha-Bhootas' namely, Earth, Water, Fire, Air, and Space; and hence only 5 basic numbers (1, 2, 3, 5, and 4 = 2 x 2) are involved in making the 22 numbers involved in the Ratios.


Topic 33 : Practical Use of Ratios : Playing all the 22 Shrutis on any String
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Topic 35 : How to play 22 Shrutis on a Synthesizer
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