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Year 2025, Volume: 9 Issue: 1, 1 - 29, 30.06.2025
https://doi.org/10.33906/musicologist.1556608

Abstract

References

  • Antonov, Anton. (2018). Tries With Frequencies Mathematica package. Retrieved from https://github.com/antononcube/MathematicaForPrediction
  • Antonov, Anton. (2023). Using Prefix trees for Markov chain text generation. Retrieved from https://community.wolfram.com/groups/-/m/t/2819012
  • Arom, Simha; Scherbaum, Frank. (2024). Towards a Theory of the Chord Syntax of Georgian Polyphony: New Tools, New Perspectives and New Results. Paper presented at the 12th International Symposium on Traditional Polyphony: Tbilisi, Georgia, 25-28 September, 2024.
  • Arom, Simha; Scherbaum, Frank and Darras, Florent. (2018). "Structural Analysis and Modeling of Georgian and Medieval Polyphonies." Proceedings of the 9th International Symposium on Traditional Polyphony. [9. International Symposium on Traditional Polyphony, Oct 30 - Nov 3, 2018, Tbilisi, Georgia] Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 203–319. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire.
  • Arom, Simha; Vallejo, Polo. (2008). "Towards a theory of the chord syntax of Georgian Polyphony" Proceeding of the 4th International Symposium on Traditional Polyphony. [The Fourth International Symposium on Traditional Polyphony]. Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 321–335. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire.
  • Arom, Simha; Vallejo, Polo. (2010). "Outline of a syntax of chords in some songs from Samegrelo" Proceeding of the 5th International Symposium on Traditional Polyphony. [The Fifth International Symposium on Traditional Polyphony] Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 266–277. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire.
  • Kahneman, Daniel. (2013). Thinking, Fast and Slow. New York: Farrar, Straus and Giroux.
  • Killick, Andrew. (2021). Global Notation as a Tool for Cross-Cultural and Comparative Music Analysis. Retrieved from https://eprints.whiterose.ac.uk/id/eprint/151037/3/Killick_AAWM_Vol_8_2.pdf
  • Kohonen, Teuvo. (1989). "A self learning musical grammar, or "Associative memory of the second kind" International Joint Conference on Neural Networks. 1: pp. 1-5, Washington: International Neural Network Society.
  • Morales, Glinore S.; Perez, Mary Leigh Ann C. and Tabuena, Almighty C. (2024). "Artificial Intelligence and the Integration of the Industrial Revolution 6.0 in Ethnomusicology: Demands, Interventions and Implications" Musicologist. 8(1): 75-107. Retrieved from https://dergipark.org.tr/en/pub/musicologist/issue/85473/1286472
  • Rosenzweig, Sebastian; Scherbaum, Frank; Shugliashvili, David; Arifi-Müller, Vlora and Müller, Meinard. (2020). "Erkomaishvili Dataset: A Curated Corpus of Traditional Georgian Vocal Music for Computational Musicology" Transactions of the International Society for Music Information Retrieval. 3(1): 31-41. Retrieved from https://doi.org/10.5334/tismir.44
  • Scherbaum, Frank. (2024). Going Beyond Western Scores: An Alternative Notation System for Traditional Georgian Vocal Music. Paper presented at the 12th International Symposium on Traditional Polyphony. Tbilisi, Georgia. 25-28 September, 2024.
  • Scherbaum, Frank; Arom, Simha; Caron Darras, Florent; Lolashvili, Ana and Kane, Frank. (2024). "On the Classification of Traditional Georgian Vocal Music by Computer-Assisted Score Analysis" Musicologist. 8(1): 28-54. Retrieved from https://dergipark.org.tr/en/pub/musicologist/issue/85473/1246886
  • Scherbaum, Frank; Arom, Simha and Kane, Frank. (2015). "On the feasibility of Markov Model based analysis of Georgian vocal polyphonic music" Proceedings of the 5th International Workshop on Folk Music Analysis, [The 5th International Workshop on Folk Music Analysis]. (pp. 94-98). Paris: University Pierre and Marie Curie
  • Scherbaum, Frank; Arom, Simha and Kane, Frank. (2016a). "A graph-theoretical approach to the harmonic analysis of Georgian vocal polyphonic music" Proceedings of the 6th International Workshop Folk Music Analysis, [The 6th International Workshop Folk Music Analysis] Beauguitte, Pierre; Duggan, Bryan; Kelleher, John D. (Eds.), (pp. 59-60). Dublin: Technological University.
  • Scherbaum, Frank; Arom, Simha and Kane, Frank. (2016b). "Graphical comparative analysis of the harmonic structure of the Akhobadze corpus of Svan songs" Proceeding of the 8th International Symposium on Traditional Polyphony. [Paper presented at the 8th International Symposium on Traditional Polyphony on September 26-30, 2016, Tblisi, Georgia]. Tsurtsumia, Rusudan and Jordania, Joseph (Eds.), (pp. 170-189). Retrieved from https://drive.google.com/file/d/1tQ_qDqY5xLWpOF8S3Ns54_ChCb_Wf72D/view
  • Scherbaum, Frank; Mzhavanadze, Nana. (2024). “Harmonygrams: A Graphical Notation System for Three-Voiced Music Facilitating the Perception of Harmonies” [Paper presented at the Eighth International Conference on Analytical Approaches to World Musics (AAWM 2024). Bologna, Italy, June 10-14, 2024]. Retrieved from https://youtu.be/8pWI9z_SSUM
  • Scherbaum, Frank; Mzhavanadze, Nana; Arom, Simha; Rosenzweig, Sebastian and Müller, Meinard. (2020). Tonal Organization of the Erkomaishvili Dataset: Pitches, Scales, Melodies and Harmonies. Potsdam: Universitätsverlag Potsdam.
  • Scherbaum, Frank; Mzhavanadze, Nana; Arom, Simha; Rosenzweig, Sebastian and Müller, Meinard. (2021). Analysis of Tonal Organization and Intonation Practice in the Tbilisi State Conservatory Recordings of Artem Erkomaishvili of 1966. [Paper presented at the Sixth Analytical Approaches to World Music Conference, June 9-12, 2021, Paris, France]. Special Session in Honor of Simha Arom. Retrieved from https://www.youtube.com/watch?v=tfjy_q71WUQ
  • Scherbaum, Frank; Mzhavanadze, Nana; Arom, Simha; Rosenzweig, Sebastian and Müller, Meinard. (2023). "Tonal Organization of the Erkomaishvili Dataset: Pitches, Scales, Melodies and Harmonies". Anzor Erkomaishvili and Contemporary Trends in the Study of Traditional and Sacred Georgian Music, Eds. Jordania, Joseph and Tsurtsumia, Rusudan: pp. 53-88. Cambridge: Cambridge Scholars Publishing.
  • Scherbaum, Frank; Mzhavanadze, Nana; Rosenzweig, Sebastian and Müller, Meinard. (2022). "Tuning Systems of Traditional Georgian Singing Determined From a New Corpus of Field Recordings" Musicologist. 6(2): 142-168. Retrieved from https://dergipark.org.tr/en/pub/musicologist/issue/74133/1068947 .
  • Sheikholharam, Peyman; Teshnehlab, Mohammad. (2008). "Music Composition Using Combination of Genetic Algorithms and Kohonen Grammar | IEEE Conference Publication | IEEE Xplore" 2008 International Symposium on Computational Intelligence and Design. Retrieved from https://ieeexplore.ieee.org/document/4725603
  • Shugliashvili, Davit. (2014). Georgian Church Hymns, Shemokmedi School. Tbilisi: Georgian Chanting Foundation & Tbilisi State Conservatory.
  • Tsereteli, Zaal; Veshapidze, Levan. (2014). "On the Georgian traditional scale" [The Seventh International Symposium on Traditional Polyphony] Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 288–295. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire
  • Tsereteli, Zaal; Veshapidze, Levan. (2015). "Video of the presentation "The empirical research of a Georgian sound scale" 2015 IAML/IMS Congress. New York City, USA.
  • Wolfram, Stephen. (2023). What Is ChatGPT Doing and Why Does It Work? Illinois: Wolfram Media.

What Can We Learn About the Grammar of Traditional Georgian Vocal Music from Computational Score Analysis?

Year 2025, Volume: 9 Issue: 1, 1 - 29, 30.06.2025
https://doi.org/10.33906/musicologist.1556608

Abstract

This paper describes the current status of a long-term project aimed at understanding the chordal syntax of traditional Georgian vocal music by analyzing sheet music in Western 5-line staff notation. As an important milestone, we present a generative grammar model based on the self-learning Kohonen model (Kohonen, 1989) in a prefix tree (Antonov, 2018; 2023) framework. This represents a significant improvement over the classical Markov model, as it allows for the influence of different context lengths for each chord in a chord sequence. We used this model to generate a large number of chord sequences, all conforming to the same grammatical production rules as our corpus. These were then used as training data for an artificial neural network to test whether, as in large language models (LLMs), ‘linguistic relationships’ could be identified by visually analyzing the embedding space of the network. The results for chord-to-chord relationships are inconclusive, as the spatial structure of the embedding map for individual chords cannot be interpreted unambigously. The embedding map for whole songs, however, shows a pronounced spatial clustering which reflects the different classes of our corpus. This suggests that the structure of the embedding map reflects the similarities and dissimilarities of the chordal syntax of the individual songs, which the network has learned in an unsupervised way.

References

  • Antonov, Anton. (2018). Tries With Frequencies Mathematica package. Retrieved from https://github.com/antononcube/MathematicaForPrediction
  • Antonov, Anton. (2023). Using Prefix trees for Markov chain text generation. Retrieved from https://community.wolfram.com/groups/-/m/t/2819012
  • Arom, Simha; Scherbaum, Frank. (2024). Towards a Theory of the Chord Syntax of Georgian Polyphony: New Tools, New Perspectives and New Results. Paper presented at the 12th International Symposium on Traditional Polyphony: Tbilisi, Georgia, 25-28 September, 2024.
  • Arom, Simha; Scherbaum, Frank and Darras, Florent. (2018). "Structural Analysis and Modeling of Georgian and Medieval Polyphonies." Proceedings of the 9th International Symposium on Traditional Polyphony. [9. International Symposium on Traditional Polyphony, Oct 30 - Nov 3, 2018, Tbilisi, Georgia] Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 203–319. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire.
  • Arom, Simha; Vallejo, Polo. (2008). "Towards a theory of the chord syntax of Georgian Polyphony" Proceeding of the 4th International Symposium on Traditional Polyphony. [The Fourth International Symposium on Traditional Polyphony]. Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 321–335. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire.
  • Arom, Simha; Vallejo, Polo. (2010). "Outline of a syntax of chords in some songs from Samegrelo" Proceeding of the 5th International Symposium on Traditional Polyphony. [The Fifth International Symposium on Traditional Polyphony] Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 266–277. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire.
  • Kahneman, Daniel. (2013). Thinking, Fast and Slow. New York: Farrar, Straus and Giroux.
  • Killick, Andrew. (2021). Global Notation as a Tool for Cross-Cultural and Comparative Music Analysis. Retrieved from https://eprints.whiterose.ac.uk/id/eprint/151037/3/Killick_AAWM_Vol_8_2.pdf
  • Kohonen, Teuvo. (1989). "A self learning musical grammar, or "Associative memory of the second kind" International Joint Conference on Neural Networks. 1: pp. 1-5, Washington: International Neural Network Society.
  • Morales, Glinore S.; Perez, Mary Leigh Ann C. and Tabuena, Almighty C. (2024). "Artificial Intelligence and the Integration of the Industrial Revolution 6.0 in Ethnomusicology: Demands, Interventions and Implications" Musicologist. 8(1): 75-107. Retrieved from https://dergipark.org.tr/en/pub/musicologist/issue/85473/1286472
  • Rosenzweig, Sebastian; Scherbaum, Frank; Shugliashvili, David; Arifi-Müller, Vlora and Müller, Meinard. (2020). "Erkomaishvili Dataset: A Curated Corpus of Traditional Georgian Vocal Music for Computational Musicology" Transactions of the International Society for Music Information Retrieval. 3(1): 31-41. Retrieved from https://doi.org/10.5334/tismir.44
  • Scherbaum, Frank. (2024). Going Beyond Western Scores: An Alternative Notation System for Traditional Georgian Vocal Music. Paper presented at the 12th International Symposium on Traditional Polyphony. Tbilisi, Georgia. 25-28 September, 2024.
  • Scherbaum, Frank; Arom, Simha; Caron Darras, Florent; Lolashvili, Ana and Kane, Frank. (2024). "On the Classification of Traditional Georgian Vocal Music by Computer-Assisted Score Analysis" Musicologist. 8(1): 28-54. Retrieved from https://dergipark.org.tr/en/pub/musicologist/issue/85473/1246886
  • Scherbaum, Frank; Arom, Simha and Kane, Frank. (2015). "On the feasibility of Markov Model based analysis of Georgian vocal polyphonic music" Proceedings of the 5th International Workshop on Folk Music Analysis, [The 5th International Workshop on Folk Music Analysis]. (pp. 94-98). Paris: University Pierre and Marie Curie
  • Scherbaum, Frank; Arom, Simha and Kane, Frank. (2016a). "A graph-theoretical approach to the harmonic analysis of Georgian vocal polyphonic music" Proceedings of the 6th International Workshop Folk Music Analysis, [The 6th International Workshop Folk Music Analysis] Beauguitte, Pierre; Duggan, Bryan; Kelleher, John D. (Eds.), (pp. 59-60). Dublin: Technological University.
  • Scherbaum, Frank; Arom, Simha and Kane, Frank. (2016b). "Graphical comparative analysis of the harmonic structure of the Akhobadze corpus of Svan songs" Proceeding of the 8th International Symposium on Traditional Polyphony. [Paper presented at the 8th International Symposium on Traditional Polyphony on September 26-30, 2016, Tblisi, Georgia]. Tsurtsumia, Rusudan and Jordania, Joseph (Eds.), (pp. 170-189). Retrieved from https://drive.google.com/file/d/1tQ_qDqY5xLWpOF8S3Ns54_ChCb_Wf72D/view
  • Scherbaum, Frank; Mzhavanadze, Nana. (2024). “Harmonygrams: A Graphical Notation System for Three-Voiced Music Facilitating the Perception of Harmonies” [Paper presented at the Eighth International Conference on Analytical Approaches to World Musics (AAWM 2024). Bologna, Italy, June 10-14, 2024]. Retrieved from https://youtu.be/8pWI9z_SSUM
  • Scherbaum, Frank; Mzhavanadze, Nana; Arom, Simha; Rosenzweig, Sebastian and Müller, Meinard. (2020). Tonal Organization of the Erkomaishvili Dataset: Pitches, Scales, Melodies and Harmonies. Potsdam: Universitätsverlag Potsdam.
  • Scherbaum, Frank; Mzhavanadze, Nana; Arom, Simha; Rosenzweig, Sebastian and Müller, Meinard. (2021). Analysis of Tonal Organization and Intonation Practice in the Tbilisi State Conservatory Recordings of Artem Erkomaishvili of 1966. [Paper presented at the Sixth Analytical Approaches to World Music Conference, June 9-12, 2021, Paris, France]. Special Session in Honor of Simha Arom. Retrieved from https://www.youtube.com/watch?v=tfjy_q71WUQ
  • Scherbaum, Frank; Mzhavanadze, Nana; Arom, Simha; Rosenzweig, Sebastian and Müller, Meinard. (2023). "Tonal Organization of the Erkomaishvili Dataset: Pitches, Scales, Melodies and Harmonies". Anzor Erkomaishvili and Contemporary Trends in the Study of Traditional and Sacred Georgian Music, Eds. Jordania, Joseph and Tsurtsumia, Rusudan: pp. 53-88. Cambridge: Cambridge Scholars Publishing.
  • Scherbaum, Frank; Mzhavanadze, Nana; Rosenzweig, Sebastian and Müller, Meinard. (2022). "Tuning Systems of Traditional Georgian Singing Determined From a New Corpus of Field Recordings" Musicologist. 6(2): 142-168. Retrieved from https://dergipark.org.tr/en/pub/musicologist/issue/74133/1068947 .
  • Sheikholharam, Peyman; Teshnehlab, Mohammad. (2008). "Music Composition Using Combination of Genetic Algorithms and Kohonen Grammar | IEEE Conference Publication | IEEE Xplore" 2008 International Symposium on Computational Intelligence and Design. Retrieved from https://ieeexplore.ieee.org/document/4725603
  • Shugliashvili, Davit. (2014). Georgian Church Hymns, Shemokmedi School. Tbilisi: Georgian Chanting Foundation & Tbilisi State Conservatory.
  • Tsereteli, Zaal; Veshapidze, Levan. (2014). "On the Georgian traditional scale" [The Seventh International Symposium on Traditional Polyphony] Eds. Rusudan Tsurtsumia and Joseph Jordania: pp. 288–295. Tbilisi: International Research Center for Traditional Polyphony of Tbilisi State Conservatoire
  • Tsereteli, Zaal; Veshapidze, Levan. (2015). "Video of the presentation "The empirical research of a Georgian sound scale" 2015 IAML/IMS Congress. New York City, USA.
  • Wolfram, Stephen. (2023). What Is ChatGPT Doing and Why Does It Work? Illinois: Wolfram Media.
There are 26 citations in total.

Details

Primary Language English
Subjects Musicology and Ethnomusicology
Journal Section Articles
Authors

Frank Scherbaum 0000-0002-5050-7331

Simha Arom This is me 0000-0002-2129-9190

Florent Caron Darras 0000-0003-3869-1399

Publication Date June 30, 2025
Submission Date September 26, 2024
Acceptance Date March 30, 2025
Published in Issue Year 2025 Volume: 9 Issue: 1

Cite

APA Scherbaum, F., Arom, S., & Caron Darras, F. (2025). What Can We Learn About the Grammar of Traditional Georgian Vocal Music from Computational Score Analysis? Musicologist, 9(1), 1-29. https://doi.org/10.33906/musicologist.1556608