Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)

Ali Mamdouh Mohamed Ahmed

doi:doi:10.11648/j.acm.20241301.11

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Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)

Ali Mamdouh Mohamed Ahmed^*

Published in Applied and Computational Mathematics (Volume 13, Issue 1)

Received: 3 January 2024 Accepted: 11 January 2024 Published: 21 February 2024

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Abstract

Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the present day. Before the commencement of the development and innovation phase, it is preceded by a stage of data and information collection and analysis, laying the foundation for a scientific basis relying on academic methods. The researcher believes that presenting an innovation or development process in a specific instrument should be followed by a mathematical analysis of the sound holes. The research aims to analyze the dimensions of the Nay instrument mathematically and derive mathematical equations for measuring its holes. The significance of the research lies in analyzing the holes of all sound degrees of the Nay instrument and deriving mathematical equations to measure the dimensions of the instrument, contributing to the overall development and elevation of research in Arab musical instruments, especially the Nay. The results were as follows: The ratio between the holes is equal, and equations were determined to calculate the positions of the Nay's holes.

Published in	Applied and Computational Mathematics (Volume 13, Issue 1)
DOI	10.11648/j.acm.20241301.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Nay, Nay Holes, Mathematical Equations for Nay, Nay Acoustics, Length of Nay Holes, Nay Frequency

References

[1]	Ahmed, Ali Mamdouh Mohamed. (2016). "Utilizing Some Works of Mohamed El-Mougy to Improve the Performance Level of Nay Players." Master's Thesis. Faculty of Fine Arts. Assiut University.
[2]	Al-Banna, H. T. A. (1994). "Basic Technical Skills Necessary for Good Nay Performance and the Possibility of Acquiring Them through Audio-Visual Presentation (Video)." Doctoral Dissertation. Faculty of Music Education. Helwan University.
[3]	Al-Tai, Fadi Mohammed Al-Ghawanmeh, Majid Abdulwahid. (2010). "Analysis and Extraction of Musical Characteristics for the Tunes of the Arabic Nay Instrument." Volume 3, Number 2. Jordanian Journal of the Arts.
[4]	Badr, Mohammed Ibrahim Mohammed. (2017). "Mathematics and Music." Journal of Mathematics Education, 20(2). Egyptian Association for Mathematics Education.
[5]	Deutsch, D. (2013). The Psychology of Music (3rd ed.). Academic Press.
[6]	Johnson-Laird, P. N. (2012). Mental models and music. In Psychology of Music (3rd ed., pp. 137-156). Elsevier.
[7]	Mohamed. E, F. (2021). A Comparative Study Between the Ney and Kamancheh Instruments. Journal of Music Sciences and Arts, 44(4), 1951-1969.
[8]	Ahmed, A. M. M. (2023). "Curriculum-Inspired Improvisations on the Nay." Journal of Research in Qualitative Education Fields, 9(44), 1887-1904. https://doi.org/10.21608/jedu.2022.150349.1717
[9]	Knawy, A. K. M. (2020). "Suggested Exercises to Overcome Performance Challenges in Transmitting Recorder Techniques to the Flute." Journal of Research in Qualitative Education Fields, 6(26), 865-896. https://doi.org/10.21608/jedu.2021.48242.1110
[10]	Al-Tashly, M. (2017). The Role of the Piano as an Accompanying Instrument in Stabilizing the Frequencies of Tones Produced by the Ney Instrument Among Beginner Students in the Music Department at Yarmouk University in Jordan. Dirasat: Human and Social Sciences, 44(4).
[11]	Mohamed Youssef, A., & Atiyaf. (2018). Utilizing Some Melodies of Abdel Halim Hafez's National Songs to Enhance Performance Levels on the Nay Instrument. Journal of Music Sciences and Arts, 38(3), 1381-1403.
[12]	Ahmed, A. M. M., & Ali Mamdouh Mohamed. (2022). An innovative method for teaching the flute through PowerPoint program. Journal of Music Science and Arts, 47(4), 2664.2680.
[13]	Fouad, F. F. F. M. (2023). Exercises inspired by some Egyptian folk tunes to enhance the performance level of nay students. Journal of Research in Areas of Qualitative Education, 9(49), 351-374. https://doi.org/10.21608/jedu.2023.244700.1959
[14]	Nagy E. A. A. (2021). Enriching curricula through descriptive compositions for learners of the nay instrument accompanied by a second nay. Journal of Studies and Research in Qualitative Education, 7(1), 922-961.
[15]	Ahmed, AM. M. (2023). Innovative music for the nay instrument inspired by Omar Khairat's composition style for the music of the case of Uncle Ahmed. Journal of Research in Areas of Qualitative Education, 9(48), 47-64.

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APA Style

Ahmed, A. M. M. (2024). Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute). Applied and Computational Mathematics, 13(1), 1-7. https://doi.org/10.11648/j.acm.20241301.11

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ACS Style

Ahmed, A. M. M. Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute). Appl. Comput. Math. 2024, 13(1), 1-7. doi: 10.11648/j.acm.20241301.11

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AMA Style

Ahmed AMM. Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute). Appl Comput Math. 2024;13(1):1-7. doi: 10.11648/j.acm.20241301.11

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@article{10.11648/j.acm.20241301.11,
  author = {Ali Mamdouh Mohamed Ahmed},
  title = {Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)},
  journal = {Applied and Computational Mathematics},
  volume = {13},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.acm.20241301.11},
  url = {https://doi.org/10.11648/j.acm.20241301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241301.11},
  abstract = {Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the present day. Before the commencement of the development and innovation phase, it is preceded by a stage of data and information collection and analysis, laying the foundation for a scientific basis relying on academic methods. The researcher believes that presenting an innovation or development process in a specific instrument should be followed by a mathematical analysis of the sound holes. The research aims to analyze the dimensions of the Nay instrument mathematically and derive mathematical equations for measuring its holes. The significance of the research lies in analyzing the holes of all sound degrees of the Nay instrument and deriving mathematical equations to measure the dimensions of the instrument, contributing to the overall development and elevation of research in Arab musical instruments, especially the Nay. The results were as follows: The ratio between the holes is equal, and equations were determined to calculate the positions of the Nay's holes.
},
 year = {2024}
}

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TY  - JOUR
T1  - Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)
AU  - Ali Mamdouh Mohamed Ahmed
Y1  - 2024/02/21
PY  - 2024
N1  - https://doi.org/10.11648/j.acm.20241301.11
DO  - 10.11648/j.acm.20241301.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20241301.11
AB  - Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the present day. Before the commencement of the development and innovation phase, it is preceded by a stage of data and information collection and analysis, laying the foundation for a scientific basis relying on academic methods. The researcher believes that presenting an innovation or development process in a specific instrument should be followed by a mathematical analysis of the sound holes. The research aims to analyze the dimensions of the Nay instrument mathematically and derive mathematical equations for measuring its holes. The significance of the research lies in analyzing the holes of all sound degrees of the Nay instrument and deriving mathematical equations to measure the dimensions of the instrument, contributing to the overall development and elevation of research in Arab musical instruments, especially the Nay. The results were as follows: The ratio between the holes is equal, and equations were determined to calculate the positions of the Nay's holes.

VL  - 13
IS  - 1
ER  -

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Author Information

Ali Mamdouh Mohamed Ahmed

Music Education Department, Faculty of Specific Education, Assiut University, Assiut, Egypt

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APA Style

Ahmed, A. M. M. (2024). Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute). Applied and Computational Mathematics, 13(1), 1-7. https://doi.org/10.11648/j.acm.20241301.11

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ACS Style

Ahmed, A. M. M. Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute). Appl. Comput. Math. 2024, 13(1), 1-7. doi: 10.11648/j.acm.20241301.11

Copy | Download

AMA Style

Ahmed AMM. Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute). Appl Comput Math. 2024;13(1):1-7. doi: 10.11648/j.acm.20241301.11

Copy | Download

@article{10.11648/j.acm.20241301.11,
  author = {Ali Mamdouh Mohamed Ahmed},
  title = {Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)},
  journal = {Applied and Computational Mathematics},
  volume = {13},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.acm.20241301.11},
  url = {https://doi.org/10.11648/j.acm.20241301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241301.11},
  abstract = {Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the present day. Before the commencement of the development and innovation phase, it is preceded by a stage of data and information collection and analysis, laying the foundation for a scientific basis relying on academic methods. The researcher believes that presenting an innovation or development process in a specific instrument should be followed by a mathematical analysis of the sound holes. The research aims to analyze the dimensions of the Nay instrument mathematically and derive mathematical equations for measuring its holes. The significance of the research lies in analyzing the holes of all sound degrees of the Nay instrument and deriving mathematical equations to measure the dimensions of the instrument, contributing to the overall development and elevation of research in Arab musical instruments, especially the Nay. The results were as follows: The ratio between the holes is equal, and equations were determined to calculate the positions of the Nay's holes.
},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)
AU  - Ali Mamdouh Mohamed Ahmed
Y1  - 2024/02/21
PY  - 2024
N1  - https://doi.org/10.11648/j.acm.20241301.11
DO  - 10.11648/j.acm.20241301.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20241301.11
AB  - Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the present day. Before the commencement of the development and innovation phase, it is preceded by a stage of data and information collection and analysis, laying the foundation for a scientific basis relying on academic methods. The researcher believes that presenting an innovation or development process in a specific instrument should be followed by a mathematical analysis of the sound holes. The research aims to analyze the dimensions of the Nay instrument mathematically and derive mathematical equations for measuring its holes. The significance of the research lies in analyzing the holes of all sound degrees of the Nay instrument and deriving mathematical equations to measure the dimensions of the instrument, contributing to the overall development and elevation of research in Arab musical instruments, especially the Nay. The results were as follows: The ratio between the holes is equal, and equations were determined to calculate the positions of the Nay's holes.

VL  - 13
IS  - 1
ER  -

Copy | Download