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Dr. Anurag Tripathi

Project Principal Investigator
Prof. Nachiketa Tiwari - Project Co-Principal Investigator
Prof. Nachiketa Tiwari - Project Co-Principal Investigator

Analysis of Sound Spectrum of Mantras and their Relation with Geometric Patterns of Yantras

Scheme Cycle RFP-01
Project Grants Rs. 10,00,000/-
Duration 2022 - 2024
Thematic Areas गणित-भौत-ज्यौतिष विभाग / Mathematical, Physical and Astronomical Sciences
Institution IIT Kanpur

Outcomes

Milestones from projects

Dṛṣṭi:

Results obtained in the project establish that utilization of modern scientific and engineering tools for exploring traditional knowledge reveals new insights and opens up avenues for new research problems.

Jñāna:

New information and observations about pattern formation on thin vibrated plates due to complex audio inputs instead of simple harmonic input.

Laukika-prayojana:

The methodology and the experimental setup built in this project opens-up the possibility of exploring the effect of complex audio signals having a combination of multiple frequencies on the vibration behaviour of thin plates.

Research Capabilities

Specialized focus areas guiding the Project

Objectives
  1. To perform a detailed analysis of the sound spectrum of few select Mantras. Specific attention will be given to the Mantras whose deities which have some specific Yantra associated with them. The dominant Fourier frequencies corresponding to each Mantra will be obtained by spectrum analysis of the recorder sound waves.
  2. To use the identified frequencies to vibrate thin metal plates and investigate the effect of these individual frequencies on the plate vibration and pattern formation of the granular materials on these vibrating plates.
  3. To investigate the effect of different combinations of the dominant Fourier frequencies obtained from the sound spectrum of Beej Mantras on the vibration and pattern formation.
  4. To compare the patterns obtained from these dominant frequencies of the Mantras with the geometric patterns of corresponding Yantras and explore any relation/connection between the two.