A Non-Parametric Analysis of Some Raga Characteristics

Nandini Sarma¹ , Pranita Sarmah²

1. Department of Statistics, Amity Institute of Applied Science, Amity University, Noida, India.
2. Department of Statistics, Gauhati University, Guwahati-781014, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.1-8, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i3.18

Online published on Jun 30, 2018

Copyright © Nandini Sarma, Pranita Sarmah . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

606 Views    349 Downloads    192 Downloads

Abstract :
A musical composition is highly patterned as it involves repetition either in the form of individual sequences of notes, chords, dynamics, rhythmic beats or tempo etc. Hence it leads to the possibility of treating music mathematically. Though mathematics has been applied to the study of music for centuries, relatively few attempts have been made to answer questions in musicology using statistical methods. The same is also true for Indian Classical music. In North Indian classical music there arises a number of questions concerning raga characteristics that can be subjected to statistical enquiry for their proper verification. Under such circumstances statistical test procedures could be employed for examining various musical propositions corresponding to a raga composition. In this paper some non-parametric techniques such as Wilcoxon Signed rank test, Binomial test and Run test of randomness have been applied for examining such propositions related to characteristics of ragas. The concept of structure function is also utilized for defining a raga and its classification.

Key-Words / Index Term :
Non-Parametric, Component, Music, Raga, Wilcoxon Signed rank test

References :
[1] V N Bhatkhande, “Hindustani Sangeet Paddhati”, Kramik PustakMallika, Vol 1-6, Sangeet Karyalaya, Hathras, 1993
[2] S Chakraborty, S Chauhan, K Krishnapriya , M Kumari , S S Solanki , R K Shukla and Loveleen, “A Statistical Analysis Of A Raga-Based Song”, Georgian Electronic Scientific Journal: Musicology and Cultural Science, No. 2(4), 2009
[3] S Chakraborty, S Chauhan, K Mahto, S Roy, S S Solanki , S S and Tripathy, “A Statistical Approach to Modeling Indian Classical Music Performance”, Archive of Cornell University e-library, http://arxiv.org/abs/0809.3214, 2008
[4] S Chakraborty, S Chauhan, K Mahto , R Ranganayakulu, and S S Solanki, “Which notes are Vadi-Samvadi in Raga Rageshree?”, Archive of Cornell University e-library, http://arxiv.org., 2008
[5] W J Conover, “Practical Non-parametric Statistics”, Wiley India Pvt Ltd, 3rd Edition, 2006.
[6] J D Gibbons, “Nonparametric Statistical Inference”, McGraw-Hill, 1971.
[7] W Y Liu and E S Field, “Modeling Music as Markov Chains: Composer Identification”, Music, 254 Final Report Stanford University, https://ccrma.stanford.edu, 2002
[8] N A Jairazbhoy,”Factors underlying important notes in North Indian music”, Ethnomusicology ,Vol 16, 63-81, 1972
[9] G S Mansukhani, “Indian Classical Music and Sikh Kirtan”, www.esikhs.com, 1982
[10] N Sarma and P Sarmah, “Empirical Analysis of Octave Patterns in Some North Indian Classical Ragas: An Application of Markov Chain”, J. Stat. & Appl. ,Vol. 6, No. 3-4, pp. 143-157, 2011
[11] N Sarma and P Sarmah, “Empirical Analysis of Ascending and Descending Movements of Notes Corresponding to North Indian Classical Ragas: Application of Stochastic Process”, International Journal of Statistics and Analysis, Volume 2, Number 1, pp. 77-87, 2012