Fractals and music

Many natural phenomena we find in our surroundings, are fractals.  Studying and learning about fractals in classrooms is always a challenge for both teachers and students. We here show that the sound of musical instruments can be used as a good resource in the laboratory to study fractals. Measureme...

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Main Authors: Nishanth Pothiyodath, Udayanandan Kandoth Murkoth
Format: Article
Language:Indonesian
Published: Universitas Kanjuruhan Malang 2022-06-01
Series:Momentum: Physics Education Journal
Subjects:
Online Access:https://ejournal.unikama.ac.id/index.php/momentum/article/view/6796
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author Nishanth Pothiyodath
Udayanandan Kandoth Murkoth
author_facet Nishanth Pothiyodath
Udayanandan Kandoth Murkoth
author_sort Nishanth Pothiyodath
collection DOAJ
description Many natural phenomena we find in our surroundings, are fractals.  Studying and learning about fractals in classrooms is always a challenge for both teachers and students. We here show that the sound of musical instruments can be used as a good resource in the laboratory to study fractals. Measurement of fractal dimension which indicates how much fractal content is there, is always uncomfortable, because of the size of the objects like coastlines and mountains. A simple fractal source is always desirable in laboratories. Music serves to be a very simple and effective source for fractal dimension measurement. In this paper, we are suggesting that music which has an inherent fractal nature can be used as an object in classrooms to measure fractal dimensions. To find the fractal dimension we used the box-counting method. We studied the sound produced by different stringed instruments and some common noises. For good musical sound, the fractal dimension obtained is around 1.6882.
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spelling doaj.art-9df282480f954cf0bd377e263f17d2282023-09-17T11:01:05ZindUniversitas Kanjuruhan MalangMomentum: Physics Education Journal2548-91272548-91352022-06-016211912810.21067/mpej.v6i2.67964989Fractals and musicNishanth Pothiyodath0Udayanandan Kandoth Murkoth1Kannur University, IndiaSree Narayana College, IndiaMany natural phenomena we find in our surroundings, are fractals.  Studying and learning about fractals in classrooms is always a challenge for both teachers and students. We here show that the sound of musical instruments can be used as a good resource in the laboratory to study fractals. Measurement of fractal dimension which indicates how much fractal content is there, is always uncomfortable, because of the size of the objects like coastlines and mountains. A simple fractal source is always desirable in laboratories. Music serves to be a very simple and effective source for fractal dimension measurement. In this paper, we are suggesting that music which has an inherent fractal nature can be used as an object in classrooms to measure fractal dimensions. To find the fractal dimension we used the box-counting method. We studied the sound produced by different stringed instruments and some common noises. For good musical sound, the fractal dimension obtained is around 1.6882.https://ejournal.unikama.ac.id/index.php/momentum/article/view/6796music and musical instrumentsfractalsfractal dimensionclassroom
spellingShingle Nishanth Pothiyodath
Udayanandan Kandoth Murkoth
Fractals and music
Momentum: Physics Education Journal
music and musical instruments
fractals
fractal dimension
classroom
title Fractals and music
title_full Fractals and music
title_fullStr Fractals and music
title_full_unstemmed Fractals and music
title_short Fractals and music
title_sort fractals and music
topic music and musical instruments
fractals
fractal dimension
classroom
url https://ejournal.unikama.ac.id/index.php/momentum/article/view/6796
work_keys_str_mv AT nishanthpothiyodath fractalsandmusic
AT udayanandankandothmurkoth fractalsandmusic