Journal of Applied Mathematics and Computation

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Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ

A Comparative Statistical Analysis of Two Popular Indian Patriotic Songs

Arshi Rahman, Soubhik Chakraborty*

Department of Mathematics, Birla Institute of Technology, Mesra Ranchi-835215, Jharkhand, India.

*Corresponding author: Soubhik Chakraborty

Published: December 27,2021


Pressing the keys of a piano randomly does not create music. Music is created only when there is a pattern in the musical notes. This pattern gets embedded in the corresponding musical data, numerical in character. Given that statistics is the science of exploring and studying patterns in numerical data, we are motivated to perform a statistical analysis, with special emphasis on modeling wherein lies the strength of statistics, of one of India’s patriotic songs ‘Aye Mere Watan Ke Logo’. There is also a comparative study done with India’s National Anthem Jana Gana Mana. The experimental results are quite interesting. Scatter plot plotted between these two patriotic songs shows that the two songs are entirely different from each other. Apart from modeling, there are other comparative studies done through Information Content and Box plot. For India’s National Anthem, note A has the highest Information content of 4.7116. In case of ‘Aye Mere Watan Ke Logo’, note E has the highest Information content of 6.0371. The note E has the highest probability for India’s National Anthem as compared to the note G for Aye Mere Watan Ke Logo. From Box plot we get that India’s National Anthem is positively skewed whereas Aye Mere Watan Ke Logo is approximately symmetric. But it is quite interesting to note that, despite the aforesaid differences, both the songs can be approximated by the same time series model to a fair degree of accuracy.


[1] accessed on 2.9.18.

[2] Chakraborty, S., Mazzola, G., Tewari, S. and Patra, M. (2014). Computational Musicology in Hindustani Music, Springer.

[3] accessed on 2.9.1.

[4] accessed on 3.9.18.

[5] Adiloglu, K., Noll, T., and Obermayer, K. (2006). A Paradigmatic Approach to Extract the melodic Structure of a Musical Piece. Journal of New Music Research, 35(3), 221-236 (2006).

[6] Chakraborty, S., Ranganayakulu, R., Chauhan, S., Solanki, S. S., and Mahto, K. (2009). A Statistical Analysis of Raga Ahir Bhairav. Journal of Music and Meaning, Vol. 8, sec. 4, http://www.musicandmeaning. net/issues/showArticle.php?artID=8.4. 

[7] Chakraborty, S., Sarkar, S., Tewari, S., and Pal, M. (2012). Modeling India’s National Anthem: A Statistical Ap-proach. International Research Journal of Social Sciences, Vol. 1(2), 1-7, October (2012).

[8] accessed on 3.9.18.

[9] Pal, N. and Sarkar, S. (2008). Statistics: Concepts and Applications. Prentice-Hall Of India Private Limited.

[10] accessed on 4.9.18.

[11] Beran, J. and Mazzola, G. (1999). Analyzing musical structure and performance—a statistical approach. Statistical Science, Vol. 14, No.1, 47-79.

[12] Raja, D. (2016). The Raga-ness of Ragas: Ragas Beyond the Grammar. D. K. Print World Ltd., New Delhi, India.

[13] Datta, A. K., Solanki, S. S., Sengupta, R., Chakraborty, S., Mahto K., and Patranabis, A. (2017). Signal Analysis of Hindustani Classical Music, Springer (2017).

[14] Chakraborty, S., Tewari, S., Rahman, A., Jamal, M., Lipi, A., Chakraborty, A., Nanda, A., and Shukla, P. (2021). Hindustani Classical Music: A Historical and Computational Study. Sanctum Books.

How to cite this paper

A Comparative Statistical Analysis of Two Popular Indian Patriotic Songs

How to cite this paper: Arshi Rahman, Soubhik Chakraborty. (2021) A Comparative Statistical Analysis of Two Popular Indian Patriotic Songs. Journal of Applied Mathematics and Computation5(4), 361-372.