
A Direct Comparison of Shruti Frequencies and Atomic Masses: Harmonic Correspondences and Possible Implications for Materials Science Dr. Vidyadhar Gopal OkeIndependent Researcher – Harmonic Systems, Music Theory, and Structural Correspondence Abstract Previous work by the author reported an approximate 99% correspondence between octave-normalized atomic masses of the known chemical elements and the frequency positions of the 22 Shrutis of Indian Classical Music. The present study extends that investigation by examining whether stable musical interval relationships also appear among elemental mass ratios. Using three principal shruti-derived harmonic families corresponding to the consonant frequency ratios 4:5 (SG), 2:3 (SP), and 5:6 (SD), atomic masses of the 118 known elements were systematically compared. Numerous elemental pairs were found to exhibit mass ratios close to these simple harmonic relationships. Such correspondences occur across multiple regions of the periodic table, including light elements, transition metals, lanthanides, actinides, and volatile elements, suggesting that the observed numerical patterns are not confined to any single chemical group. The study further explores whether these harmonic families show qualitative associations with known categories of material behaviour. SG-related ratios appear frequently among elements associated with optical stability and corrosion resistance; SP-related ratios occur in many structural and engineering materials; and SD-related ratios are observed among elements commonly used in electronic and semiconductor applications. These observations are presented as numerical correlations rather than evidence of physical causation. Because both the shruti framework and atomic mass data are independently defined and reproducible, the resulting comparisons can be replicated and tested by other investigators. The findings do not imply that musical principles directly govern atomic behaviour. Rather, they raise the possibility that simple integer relationships may emerge as recurring organizational patterns in both acoustic and atomic domains. Several directions for future investigation are proposed, including the study of alloy systems selected on the basis of harmonic mass ratios, computational modelling of lattice vibrations and phonon interactions, isotopic mass-ratio analysis, and broader examination of harmonic relationships in crystallographic, electronic, and nuclear properties. While preliminary, this work introduces a ratio-based perspective for examining periodic relationships and suggests that harmonic structures familiar in music may provide an additional mathematical framework for exploring patterns within the periodic table and materials science. Keywords: 22 Shrutis, Indian Classical Music, Atomic Masses, Harmonic Ratios, Periodic Table, Materials Science, Alloy Design, Structural Correspondence, Mathematical Patterns, Harmonic Systems. References Oke, V. G. (2025). Periodic Table and 22 Shrutis – A 99% Match. Kindle Edition. ISBN 978-93-5627-992-6. Oke, V. G. (2025). The Musical Key to Metallurgy – An Unexpected Bridge between Shrutis and Atomic Structure. Kindle Edition. ISBN 978-93-5619-372-7. Oke, V. G. (2025). Periodic Table and 22 Shrutis – A 99% Match. Zenodo. DOI: 10.5281/zenodo.18654192.
