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Stochastic Models for Indian Drumming

Authors: K.N. Bhowmick;

Stochastic Models for Indian Drumming

Abstract

The present article highlights certain bio-stochastic-models (BSM) associated with the musical acoustics through the most popular Indian drums Tabla, Pakhavaj and Mridangam. A drum happens to be an important source of musical acoustics and communications. In particular, a drumming through Tabla/Pakhavaj/Mridangam happens to be a sophisticated art based on a random (or stochastic) process. A system of drumming being represented by a particular school (or Gharana) of Tabla/Pakhavaj/ Mridangam, happens to be composition of the basic characteristics of that school and it's genealogical features. A sequence of equidurational strokes (U) and the timing rests (,) forms a jati. Playing of 'jatis' on a drum is governed by Information theory, and as such the information content (or entropy) for the total number of patterns of a jati may be determined by musicometric dynamism of jatis. A drumming is governed by psycho-Aesthetic-Control (PAC) due to a drummer, leading further to Audio-Visual-Control (AVC) in the process of drumming. An actual jati played on a drum is influenced by a System-Theoretic-Acoustical-Model (STAM) due to the employment of varieties of strokes at the levels of melody, tone, stress and grace. Consequently, a STAM gives rises to System-Theoretic-Random-Acoustical Function (STRAF), and as such a Stochastic-Model (SM) is built up by the product SM = (JATI) × (STRAF). Hence, AVC is split into Bio-Matrix-Model (BMM) and SM, which happen to combine in the form of a Bio-Stochastic-Model (BSM).A drumming, being characterised by Bio-Muscular-Controls (BMC) of the hands and their associated parts, leads further to BSM. Finally, BSM gives rise to Bio-Control-tensions (BCT) characterised by the Kinetics of the hands and their associated parts leading to drumming.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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