EKSPLORASI FARITIA TERHADAP LINGKARAN
Keywords:
Faritia; Circle; Euclidean Rhythm; Traditional Nias Music; Cultural Symbol.
Abstract
This study aims to explore the relationship between the traditional musical instrument Faritia from Nias and the concept of the circle in terms of its visual form, rhythmic structure, and social symbolic meaning. Faritia is a metal idiophone shaped like a circle, commonly used in traditional ceremonies such as Mamozi Aramba. The research approach is a literature review, collecting and analyzing various sources on organology theory, Euclidean rhythm, and ethnomusicological studies. The findings indicate that the physical form of Faritia reflects principles of acoustic resonance and symbolic values commonly found in traditional cultures: balance, wholeness, and continuity. The rhythmic patterns produced by Faritia show a tendency towards cyclical beat distribution similar to the concept of Euclidean rhythms. Moreover, in social practice, Faritia is played within circular formations that reinforce collective meaning and community unity. Thus, Faritia functions not only as a traditional musical instrument but also as a multidimensional cultural symbol representing the circle in the physical, musical, and social structures of Nias society.
References
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Harefa, D. (2025). Fisika Di Dunia Nyata : Evaluasi Pendidikan IPA Yang Tak Sekadar Hitungan Dan Rumus. CV Lutfi Gilang
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Harefa, D. (2025). Hombo Batu A Traditional Art That Can Be Explained With The Laws Of Physics. FAGURU: Jurnal Ilmiah Mahasiswa Keguruan, 4(1), 264-276. Https://Doi.Org/10.57094/Faguru.V4i1.2459
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Harefa, D. (2025). Transformasi Pendidikan IPA Fisika Di Era Industri 5.0 : Mempersiapkan Generasi Pintar Dan Berinovasi, CV Lutfi Gilang
Harefa, D., I Made Sutajaya, I Wayan Suja, & Ida Bagus Made Astawa. (2024). Lowalangi Dalam Konsep Tri Hita Karana Dalam Kearifan Lokal NIAS. Ndrumi : Jurnal Ilmu Pendidikan Dan Humaniora, 7(2), 51-61. Https://Doi.Org/10.57094/Ndrumi.V7i2.2226
Harefa, D., I Made Sutajaya, I Wayan Suja, & Ida Bagus Made Astawa. (2024). Nilai Moral Tri Hita Karana Dalam Album “Keramat” Ciptaan H. Rhoma Irama. Ndrumi : Jurnal Ilmu Pendidikan Dan Humaniora, 7(2), 1-15. Https://Doi.Org/10.57094/Ndrumi.V7i2.2117
Harefa, Y. (2012). Alat Musik Faritia di Nias: Asal-usul dan Fungsi dalam Mamözi Aramba. Laporan tak diterbitkan.
Kaeppler, A. L. (1978). Dance in Anthropological Perspective. Annual Review of Anthropology, 7, 31–49. https://doi.org/10.1146/annurev.an.07.100178.000335
Kartomi, M. (1997). On concepts and classifications of musical instruments. Ethnomusicology, 41(2), 123–152. https://doi.org/10.2307/924407
Kartomi, M. J. (1981). Musical Acculturation and the Classification of Musical Instruments: A Study in Ethnomusicological Theory. Ethnomusicology, 25(2), 283–314. https://doi.org/10.2307/768998
Kartomi, M. J. (1990). On Concepts and Classifications of Musical Instruments. University of Chicago Press. https://doi.org/10.2307/924407
Kurnia Wati Wau. (2023). Pengaruh Pendapatan Terhadap Minat Menabung Masyarakat Desa Hiliotalua Pada Cu. Kasih Setia Pulau Tello Kecamatan Pulau-Pulau Batu. Jurnal Ilmiah Mahasiswa Nias Selatan, 6(1), 240-252. https://doi.org/10.57094/jim.v6i1.1795
Merriam, A. P. (1964). The Anthropology of Music. Evanston: Northwestern University Press.
Music Theory Online. (2000). Anku, W. Circles and Time: A Theory of Structural Organization of Rhythm in African Music. Music Theory Online, 6(1) Music Theory Online
Naibaho, T., Sinaga, S. J., Simangunsong, V. H., & Sihombing, S. (2021). Eksplorasi Kue Tradisional Batak Toba terhadap Konsep Geometri. Jurnal Pendidikan Matematika : Judika Education, 5 (1); 42-48. https://doi.org/10.31539/judika.v5i1.3652
Nattiez, J.-J. (1975). Music and discourse: Toward a semiology of music. Princeton University Press.
Nettl, B. (2005). The Study of Ethnomusicology: Thirty-one Issues and Concepts. Routledge. https://doi.org/10.4324/9780203944805
Redfield, R., Linton, R., & Herskovits, M. J. (1936). Memorandum for the Study of Acculturation. American Anthropologist, 38(1), 149–152.
Sihombing, D. I. (2022). Strategi Pembelajaran Berbasis Etnomatematika : Eksplorasi Kekayaan Alam Danau Toba sebagai Mata Pencaharia Masyarakat. Sepren: Journal of Mathematics Education and Applied, 4 (1), pp.106-113, November 2022. http://doi.org/10.36655/sepren.v4i1
Sijabat, O. P., Simarmata, R. j., Giawa, M., Tambunan, H., Sitepu, S. (2022). Eksplorasi Mamozi Aramba terhadap Konsep Geometri. Jurnal Jendela Pendidikan, 2 (3) Agustus 2022. http://www.ejournal.jendelaedukasi.id/index.php/JJP
Simanjuntak, R. M., Ginting Br, A. C. P., Situmorang, J. D., Pardede, A. I. (2022). Eksplorasi Etnomatematika pada Alat Musik Sulim. sepren: Journal of Mathematics Education and Applied, 4 (1), pp.69-73, November 2022. http://doi.org/10.36655/sepren.v4i1
Situmorang, A. S., Naibaho, T. (2020). Etnomatematika pada Pembelajaran Matematika Tingkat SD. Prosiding Webinar Ethnomathematics. ISBN: 978-623-93394-9-4
Telaumbanu, T., Murnihati Sarumaha, Kaminudin Telaumbanua, Baziduhu Laia, Fatolosa Hulu, Harefa, D., & Anita Zagoto. (2025). Transformasi Botol Plastik Aqua Menjadi Tempat Sampah Ramah Lingkungan Berbasis Kearifan Lokal Desa Bawolowalangi. Haga : Jurnal Pengabdian Kepada Masyarakat, 4(1), 1-14. Https://Doi.Org/10.57094/Haga.V4i1.2779
Telaumbanua, W., Zebua, T. B., & Telaumbanua, E. H. (2025). “Kolaborasi musik tradisional Nias Aramba dengan musik keyboard pada lagu BZ No. 478 Fanawogu Oroisa”, Jurnal Pendidikan Sosial dan Humaniora.
Toni Hidayat, Amaano Fau, & Darmawan Harefa. (2023). Pengaruh Model Pembelajaran Index Card Match Terhadap Hasil Belajar Siswa Pada Mata Pelajaran Ipa Terpadu. TUNAS : Jurnal Pendidikan Biologi, 4(1), 61 - 72. Https://Doi.Org/10.57094/Tunas.V4i1.885
Toussaint, G. T. (2005). The Euclidean Algorithm Generates Traditional Musical Rhythms. In Mathematics and Computation in Music (pp. 47–56). Springer. https://doi.org/10.1007/11553090_4
Toussaint, G. T. (2005). The geometry of musical rhythm. Proceedings of JCDCG 2004, 198–212.
Turner, V. (1969). The Ritual Process: Structure and Anti-Structure. Aldine Publishing.
Yuan, Y., & Abdullah, M. H. (2025). The symbolic functions of musical instruments in the Longhuahui ritual of Shanxi, China. International Journal of Academic Research in Business and Social Sciences, 15(7), 817–830. https://doi.org/10.
Yuan, Y., & Abdullah, M. H. B. (2025). The symbolic functions of musical instruments in the Longhuahui ritual of Shanxi, China. International Journal of Academic Research in Business and Social Sciences, 15(7), 817–930. https://doi.org/10.46886/IJARBSS/v15 i7/17315
Zai, Chintya Claudya. (2020). “Penggunaan ansambel Aramba pada upacara adat pernikahan masyarakat Nias di Desa Ombolata Ulu”, Areopagus: Jurnal Pendidikan dan Teologi Kristen, 18(1).
Civilisation.ca. (n.d.). The making of musical instruments in Canada – Symbolism. Retrieved museedelhistoire.ca Music Theory Onlinekwpublications.commuseedelhistoire.ca
Debora Waruwu, N., Ndruru, M., Bawamenewi, A., & Waruwu, L. (2024). Analisis Nilai Budaya Tari Faritia Halu Di Uptd Smp Negeri 1 Ulu Moro’o. Jurnal Kata : Bahasa, Sastra, Dan Pembelajarannya, 12(2), 297–306. https://doi.org/10.23960/kata.v12i2.138
Ethnomusicology. (2025). Ethnomusicology: Theory and issues (online entry). Merriam, Nettl, et al. en.wikipedia.org
Geertz, C. (1973). The Interpretation of Cultures: Selected Essays. Basic Books.
Harefa, D. (2025). Filsafat Pendidikan Nasional Sebagai Budaya Kearifan Lokal Nias. CV Lutfi Gilang
Harefa, D. (2025). Fisika Di Dunia Nyata : Evaluasi Pendidikan IPA Yang Tak Sekadar Hitungan Dan Rumus. CV Lutfi Gilang
Harefa, D. (2025). Getting To Know Yahowu And Ya’ahowu Warm Greetings From The Nias Community. KOHESI : Jurnal Pendidikan Bahasa Dan Sastra Indonesia, 5(2), 15-27. Https://Doi.Org/10.57094/Kohesi.V5i2.2559
Harefa, D. (2025). Globalizing Hombo Batu The Role Of English In Promoting Nias Local Wisdom On The International Stage. Research On English Language Education, 7(1), 74-91. Https://Doi.Org/10.57094/Relation.V7i1.2638
Harefa, D. (2025). Hombo Batu A Traditional Art That Can Be Explained With The Laws Of Physics. FAGURU: Jurnal Ilmiah Mahasiswa Keguruan, 4(1), 264-276. Https://Doi.Org/10.57094/Faguru.V4i1.2459
Harefa, D. (2025). Hombo Batu The Tradition Of South Nias That Teaches Courage And Cooperation. FAGURU: Jurnal Ilmiah Mahasiswa Keguruan, 4(1), 75-84. Https://Doi.Org/10.57094/Faguru.V4i1.2454
Harefa, D. (2025). Implementation Of Pancasila Character Education In Hombo Batu In South Nias. CIVIC SOCIETY RESEARCH And EDUCATION: Jurnal Pendidikan Pancasila Dan Kewarganegaraan. 6(1), 1-13, Https://Doi.Org/10.57094/Jpkn.V6i1.2566
Harefa, D. (2025). Improving Environmental Conservation Skills through Science Learning that Values the Local Wisdom of Hombo Batu in the Botohilitano Indigenous Community. Global Sustainability and Community Engagement, 1(3), 119–130. Retrieved from https://iesrjournal.com/index.php/gsce/article/view/302
Harefa, D. (2025). Innovation In Social Science Learning Based On Local Wisdom: Hombo Batu As A Cultural Education Media In South Nias. Curve Elasticity: Jurnal Pendidikan Ekonomi, 6(1), 15-27. Https://Doi.Org/10.57094/Jpe.V6i1.2555
Harefa, D. (2025). Integrating Character Education Into Science Learning To Improve Academic Achievement At Sma Teluk Dalam. Tunas : Jurnal Pendidikan Biologi, 6(1), 1-13. Https://Doi.Org/10.57094/Tunas.V6i1.2909
Harefa, D. (2025). Kearifan Lokal Nias Dalam Pembelajaran IPA. CV Jejak (Jejak Publisher)
Harefa, D. (2025). Mathematics As A Philosophical Foundation In Hombo Batu: Exploring Nias’ Local Wisdom Through The Perspective Of Mathematics. Afore : Jurnal Pendidikan Matematika, 4(1), 13-26. Https://Doi.Org/10.57094/Afore.V4i1.2557
Harefa, D. (2025). Ruang Lingkup Ilmu Pengetahuan Alam Sekolah Dasar. CV Jejak (Jejak Publisher)
Harefa, D. (2025). The Application Of Hombo Batu Local Wisdom-Based Learning In Enhancing Student Discipline And Cooperation In The Nias Islands. Ndrumi : Jurnal Ilmu Pendidikan Dan Humaniora, 8(1), 14-27. Https://Doi.Org/10.57094/Ndrumi.V8i1.2565
Harefa, D. (2025). The Influence Of Soil Texture Types On Land Resilience To Drought In South Nias. Jurnal Sapta Agrica, 4(1), 13-30. Https://Doi.Org/10.57094/Jsa.V4i1.2585
Harefa, D. (2025). Transformasi Pendidikan IPA Fisika Di Era Industri 5.0 : Mempersiapkan Generasi Pintar Dan Berinovasi, CV Lutfi Gilang
Harefa, D., I Made Sutajaya, I Wayan Suja, & Ida Bagus Made Astawa. (2024). Lowalangi Dalam Konsep Tri Hita Karana Dalam Kearifan Lokal NIAS. Ndrumi : Jurnal Ilmu Pendidikan Dan Humaniora, 7(2), 51-61. Https://Doi.Org/10.57094/Ndrumi.V7i2.2226
Harefa, D., I Made Sutajaya, I Wayan Suja, & Ida Bagus Made Astawa. (2024). Nilai Moral Tri Hita Karana Dalam Album “Keramat” Ciptaan H. Rhoma Irama. Ndrumi : Jurnal Ilmu Pendidikan Dan Humaniora, 7(2), 1-15. Https://Doi.Org/10.57094/Ndrumi.V7i2.2117
Harefa, Y. (2012). Alat Musik Faritia di Nias: Asal-usul dan Fungsi dalam Mamözi Aramba. Laporan tak diterbitkan.
Kaeppler, A. L. (1978). Dance in Anthropological Perspective. Annual Review of Anthropology, 7, 31–49. https://doi.org/10.1146/annurev.an.07.100178.000335
Kartomi, M. (1997). On concepts and classifications of musical instruments. Ethnomusicology, 41(2), 123–152. https://doi.org/10.2307/924407
Kartomi, M. J. (1981). Musical Acculturation and the Classification of Musical Instruments: A Study in Ethnomusicological Theory. Ethnomusicology, 25(2), 283–314. https://doi.org/10.2307/768998
Kartomi, M. J. (1990). On Concepts and Classifications of Musical Instruments. University of Chicago Press. https://doi.org/10.2307/924407
Kurnia Wati Wau. (2023). Pengaruh Pendapatan Terhadap Minat Menabung Masyarakat Desa Hiliotalua Pada Cu. Kasih Setia Pulau Tello Kecamatan Pulau-Pulau Batu. Jurnal Ilmiah Mahasiswa Nias Selatan, 6(1), 240-252. https://doi.org/10.57094/jim.v6i1.1795
Merriam, A. P. (1964). The Anthropology of Music. Evanston: Northwestern University Press.
Music Theory Online. (2000). Anku, W. Circles and Time: A Theory of Structural Organization of Rhythm in African Music. Music Theory Online, 6(1) Music Theory Online
Naibaho, T., Sinaga, S. J., Simangunsong, V. H., & Sihombing, S. (2021). Eksplorasi Kue Tradisional Batak Toba terhadap Konsep Geometri. Jurnal Pendidikan Matematika : Judika Education, 5 (1); 42-48. https://doi.org/10.31539/judika.v5i1.3652
Nattiez, J.-J. (1975). Music and discourse: Toward a semiology of music. Princeton University Press.
Nettl, B. (2005). The Study of Ethnomusicology: Thirty-one Issues and Concepts. Routledge. https://doi.org/10.4324/9780203944805
Redfield, R., Linton, R., & Herskovits, M. J. (1936). Memorandum for the Study of Acculturation. American Anthropologist, 38(1), 149–152.
Sihombing, D. I. (2022). Strategi Pembelajaran Berbasis Etnomatematika : Eksplorasi Kekayaan Alam Danau Toba sebagai Mata Pencaharia Masyarakat. Sepren: Journal of Mathematics Education and Applied, 4 (1), pp.106-113, November 2022. http://doi.org/10.36655/sepren.v4i1
Sijabat, O. P., Simarmata, R. j., Giawa, M., Tambunan, H., Sitepu, S. (2022). Eksplorasi Mamozi Aramba terhadap Konsep Geometri. Jurnal Jendela Pendidikan, 2 (3) Agustus 2022. http://www.ejournal.jendelaedukasi.id/index.php/JJP
Simanjuntak, R. M., Ginting Br, A. C. P., Situmorang, J. D., Pardede, A. I. (2022). Eksplorasi Etnomatematika pada Alat Musik Sulim. sepren: Journal of Mathematics Education and Applied, 4 (1), pp.69-73, November 2022. http://doi.org/10.36655/sepren.v4i1
Situmorang, A. S., Naibaho, T. (2020). Etnomatematika pada Pembelajaran Matematika Tingkat SD. Prosiding Webinar Ethnomathematics. ISBN: 978-623-93394-9-4
Telaumbanu, T., Murnihati Sarumaha, Kaminudin Telaumbanua, Baziduhu Laia, Fatolosa Hulu, Harefa, D., & Anita Zagoto. (2025). Transformasi Botol Plastik Aqua Menjadi Tempat Sampah Ramah Lingkungan Berbasis Kearifan Lokal Desa Bawolowalangi. Haga : Jurnal Pengabdian Kepada Masyarakat, 4(1), 1-14. Https://Doi.Org/10.57094/Haga.V4i1.2779
Telaumbanua, W., Zebua, T. B., & Telaumbanua, E. H. (2025). “Kolaborasi musik tradisional Nias Aramba dengan musik keyboard pada lagu BZ No. 478 Fanawogu Oroisa”, Jurnal Pendidikan Sosial dan Humaniora.
Toni Hidayat, Amaano Fau, & Darmawan Harefa. (2023). Pengaruh Model Pembelajaran Index Card Match Terhadap Hasil Belajar Siswa Pada Mata Pelajaran Ipa Terpadu. TUNAS : Jurnal Pendidikan Biologi, 4(1), 61 - 72. Https://Doi.Org/10.57094/Tunas.V4i1.885
Toussaint, G. T. (2005). The Euclidean Algorithm Generates Traditional Musical Rhythms. In Mathematics and Computation in Music (pp. 47–56). Springer. https://doi.org/10.1007/11553090_4
Toussaint, G. T. (2005). The geometry of musical rhythm. Proceedings of JCDCG 2004, 198–212.
Turner, V. (1969). The Ritual Process: Structure and Anti-Structure. Aldine Publishing.
Yuan, Y., & Abdullah, M. H. (2025). The symbolic functions of musical instruments in the Longhuahui ritual of Shanxi, China. International Journal of Academic Research in Business and Social Sciences, 15(7), 817–830. https://doi.org/10.
Yuan, Y., & Abdullah, M. H. B. (2025). The symbolic functions of musical instruments in the Longhuahui ritual of Shanxi, China. International Journal of Academic Research in Business and Social Sciences, 15(7), 817–930. https://doi.org/10.46886/IJARBSS/v15 i7/17315
Zai, Chintya Claudya. (2020). “Penggunaan ansambel Aramba pada upacara adat pernikahan masyarakat Nias di Desa Ombolata Ulu”, Areopagus: Jurnal Pendidikan dan Teologi Kristen, 18(1).
Published
2025-08-15
How to Cite
Karyenti Merintan Sani Lahagu, Hardi Tambunan, & Ruth Mayasari Simanjuntak. (2025). EKSPLORASI FARITIA TERHADAP LINGKARAN. Afore : Jurnal Pendidikan Matematika, 4(1), 157-171. https://doi.org/10.57094/afore.v4i1.3202
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Articles
