Statistical analysis of a Tagore song based on Raga Kafi

Soubhik Chakraborty; Prerna Singh

doi:10.59400/jam.v1i1.85

Statistical analysis of a Tagore song based on Raga Kafi

Soubhik Chakraborty Department of Mathematics, Birla Institute of Technology
Prerna Singh Department of Mathematics, Birla Institute of Technology

Ariticle ID: 85

96 Views, 53 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.85

Keywords: note duration, inter onset interval, rate of change of pitch, statistical parameterization of melody and rhythm, spectrogram

Abstract

Rabindra Sangeet or Tagore songs encompass a wide variety of human emotions. Most of these songs are based on Hindustani ragas. Kafi is a joyful raga and therefore could be helpful to combat stress. We are motivated to analyse a popular Tagore song, namely, Momo Chitte, which is based on this raga. Statistical analysis compares two phases of 30 s each of a vocal recording of this song. Several statistical features are considered including note duration, inter onset interval, rate of change of pitch, statistical parameterization of melody and rhythm in addition to analysis of spectrogram and pitch profile. The experimental results are encouraging.

References

Roy K. Even with Hindustani classical music Tagore was an avant-garde [Internet]. Kolkata: the SpaceInk; 2020. Available from: https://thespace.ink/cover-story/rabindra-sangeet-and-hindustani-classical-music/.

Lyric and background history of song Mamo Chitte Niti Nritye [Internet]. Available from: https://www.geetabitan.com/lyrics/M/mamo-chitte-niti-nritte-lyric.html.

Beran J. Statistics in musicology. 1st ed. New York: Chapman and Hall/CRC; 2003.

Chakraborty S, Mazzola G, Tewari S, Patra M. Computational musicology in Hindustani music. Cham: Springer Cham; 2014.

Jairazbhoy NA. The rags of North Indian music: Their structure and evolution. 2nd ed. Mumbai: Popular Prakashan; 2011.

Bor J, Rao S, Meer WV, Harvey J. The raga guide: A survey of 74 Hindustani ragas. Charlottesville: Nimbus Records; 1999.

Kostek B. Perception based data processing in acoustics: Applications to music information retrieval and sychophysiology of hearing. Heidelberg: Springer Berlin; 2005.

English translation of song Mamo Chitte Niti Nritye [Internet]. Available from: https://www.geetabitan.com/lyrics/rs-m/mamo-chitte-niti-nritte-english-translation.html.

Published

2023-04-25

How to Cite

Chakraborty, S., & Singh, P. (2023). Statistical analysis of a Tagore song based on Raga Kafi. Journal of AppliedMath, 1(1), 85. https://doi.org/10.59400/jam.v1i1.85

Download Citation

Issue

Vol. 1 No. 1 (2023)

Section

Article

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

The dynamic loads from earthquakes and winds can destroy lives, cause collapsein civil structures, and interrupt basic services provided to the population. In this scenario,structural designs must be developed to decrease the damage induced by these actions. Theobjective of this work is to design a hybrid controller based on the optimization via statefeedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations ofa three-story steel frame building, represented through the shear building model, subjected tothe simultaneous dynamic action of wind and earthquake. All research is based oncomputational simulation, experimental research and results will not be addressed. In thenumerical analysis, digital computer and MATLAB® software are used, and implementedcodes generate the expected results based on the mathematical modeling. With theapplication of the control technique via state feedback, the displacements were reduced by77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was100%. Thus, the verifications in relation to maximum displacements were met for NBR15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that thehybrid controller proved to be more efficient and achieved the proposed objective. Theexogenous inputs had zero influence on the behavior of the system output

One of the most widespread interpretations of the mass-energy equivalence establishes that not only can mass be transformed into energy (e.g., through nuclear fission, fusion, or annihilation) but that every type of energy also has mass (via the mass-energy equivalence formula). Here, we show that this is not always the case. With the help a few thought experiments, we show that, for instance, the electric potential energy of a charged capacitor should not contribute to the capacitor’s gravitational rest mass (while still contributing to its linear momentum). That result is in agreement with the fact that light (ultimately, an electromagnetic phenomenon) has momentum but not rest mass

Statistical analysis of a Tagore song based on Raga Kafi

Abstract

References

Most read articles by the same author(s)