Are the Hexameters and Hendecasyllables of Classical Poetry a Mathematical Imprint of Short-Term Memory?
Research Article  ·  Published: 10 November 2026
Issue cover
Journal of Mathematical Studies of Literature
Volume 1, Issue 1, 2025: 28-48
Research Article Open Access

Are the Hexameters and Hendecasyllables of Classical Poetry a Mathematical Imprint of Short-Term Memory?

1 Dipartimento di Elettronica, Informazione e Bioingegneria (DEIB), Politecnico di Milano, 20133 Milan, Italy
* Corresponding Author: Emilio Matricciani, [email protected]
Volume 1, Issue 1
You have full access to this open access article · CC BY 4.0 License

Article Information

Abstract

The hexameter of Greek and Latin epic and the Italian hendecasyllable are usually described in terms of syllables, feet and accents. This paper tests a different hypothesis: that both verses were shaped, without the poets being aware of it, by the number of words a line can hold, a number close to the central value of Miller's $7 \pm 2$ law. On this view the two metres are an imprint of short-term memory, the stage through which information must pass before it is stored in long-term memory and later recalled, as was required in societies where poetry was learned and recited by heart. The hypothesis is examined on Virgil's Aeneid and Lucretius' De Rerum Natura, both written in Latin hexameters, on their classical Italian translations in unrhymed hendecasyllables by Annibale Caro and Alessandro Marchetti, and on Dante's Divina Commedia. For each book, characters, words, sentences, punctuation marks and lines were counted; from these counts I computed word length, sentence length, the word interval (words between two punctuation marks), the number of word intervals per sentence and the number of words per line. A uniformity index is introduced to measure how evenly each parameter is distributed across books. Word length and words per line are almost constant in every text (about 6.4-6.6 words per hexameter and 6.8-7.0 per hendecasyllable), whereas sentence length and word interval change from book to book and, in the Aeneid, between the two hexads. The results suggest that the poets controlled punctuation and sentence structure deliberately, while the length of the line in words was set by short-term memory rather than by syllable counting alone.

Graphical Abstract

Are the Hexameters and Hendecasyllables of Classical Poetry a Mathematical Imprint of Short-Term Memory?

Keywords

Aeneid De Rerum Natura hendecasyllable hexameter Italian poetry linguistic parameters Miller's law short-term memory

Data Availability Statement

The Latin texts and Italian translations are publicly available at the websites listed in Appendix~A. The processed data are available from the author upon request.

Funding

This research received no external funding. In addition to the customary citation of the sources of the digital texts, the author thanks the colleagues who, with dedication, make the texts of works foundational to Western culture freely available to everyone.

Conflicts of Interest

Emilio Matricciani served as an Editor-in-Chief of the Journal of Mathematical Studies of Literature at the time of manuscript submission. To ensure the integrity of the peer-review process, Emilio Matricciani was not involved in the editorial handling, peer review, or decision-making process for this manuscript, which was handled independently by another editor.

AI Use Statement

The authors declare that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable. This study analyses publicly available literary texts and involves no human participants or animals.

References

  1. Matricciani, E. (2025). A multidimensional mathematical analysis of Dante's Divina Commedia. Journal of Mathematical Studies of Literature, 1(1), 4-20.
    [CrossRef] [Google Scholar]
  2. Miller, G. A. (1956). The magical number seven, plus or minus two: Some limits on our capacity for processing information. Psychological Review, 63(2), 81-97.
    [CrossRef] [Google Scholar]
  3. Nagy, B. (2022). Rhyme in classical Latin poetry: Stylistic or stochastic? Digital Scholarship in the Humanities, 37(4), 1097-1118.
    [CrossRef] [Google Scholar]
  4. Duckworth, G. E. (1969). Vergil and Classical Hexameter Poetry: A Study in Metrical Variety. Ann Arbor, MI: University of Michigan Press.
    [CrossRef] [Google Scholar]
  5. Young, A. M. (1932). Schematized word order in Vergil. The Classical Journal, 27(7), 515-522. https://www.jstor.org/stable/3289987?seq=1
    [Google Scholar]
  6. Roberts, L. (1977). A Concordance of Lucretius. New York: Garland. https://search.catalog.loc.gov/instances/ac86362e-be55-5ade-a232-de94d5f949b7?option=lccn&query=77070759
    [Google Scholar]
  7. Allen, W. S. (1973). Accent and Rhythm: Prosodic Features of Latin and Greek. A Study in Theory and Reconstruction. Cambridge: Cambridge University Press. https://archive.org/details/accentrhythmpros0000alle/page/n3/mode/2up
    [Google Scholar]
  8. Duffell, M. J. (2012). Syllabic verse. In R. Greene & S. Cushman (Eds.), The Princeton Encyclopedia of Poetry and Poetics (4th ed., pp. 1388-1390). Princeton, NJ: Princeton University Press. https://www.oxfordreference.com/display/10.1093/acref/9780190681173.001.0001/acref-9780190681173-e-1101
    [Google Scholar]
  9. West, M. L. (1982). Greek Metre. Oxford: Clarendon Press. https://ancientlibrary.yatsishin.com/download/28/pdf/28.pdf
    [Google Scholar]
  10. Parkes, M. B. (1993). Pause and Effect: An Introduction to the History of Punctuation in the West. Berkeley: University of California Press. https://archive.org/details/pauseeffectintro0000park
    [Google Scholar]
  11. Feeney, D. (1993). The Aeneid as a poem of history. The Classical Outlook, 70(3), 94-96 (first published in Omnibus, 23, 1992, 19-21). https://www.jstor.org/stable/43937473?seq=1
    [Google Scholar]
  12. Fendel, V. (2025). Switchpoints: Half-lines in Vergil's Aeneid from an attention perspective. Rosetta, 30, 9-27.
    [CrossRef] [Google Scholar]
  13. Thomas, R. F. (2001). Virgil and the Augustan Reception. Cambridge: Cambridge University Press.
    [CrossRef] [Google Scholar]
  14. Duckworth, G. E. (1962). Structural Patterns and Proportions in Vergil's Aeneid: A Study in Mathematical Composition. Ann Arbor, MI: University of Michigan Press.
    [CrossRef] [Google Scholar]
  15. Kenney, E. J. (2007). Lucretian texture: Style, metre and rhetoric in the De rerum natura. In S. Gillespie & P. Hardie (Eds.), The Cambridge Companion to Lucretius (pp. 92-110). Cambridge: Cambridge University Press.
    [CrossRef] [Google Scholar]
  16. Farrell, J. (2007). Lucretian architecture: the structure and argument of the De rerum natura. The Cambridge Companion to Lucretius, (88), 76-91. https://repository.upenn.edu/server/api/core/bitstreams/831447c7-1dc2-41e6-a310-b043b70d68f5/content
    [Google Scholar]
  17. Taylor, B. (2020). Lucretius and the Language of Nature. Oxford: Oxford University Press.
    [CrossRef] [Google Scholar]
  18. Sedley, D. (1998). Lucretius and the Transformation of Greek Wisdom. Cambridge: Cambridge University Press. https://archive.org/details/lucretiustransfo0000sedl
    [Google Scholar]
  19. Sedley, D. (1999). Lucretius' use and avoidance of Greek. In J. N. Adams & R. G. Mayer (Eds.), Aspects of the Language of Latin Poetry (Proceedings of the British Academy, 93, pp. 227-246). Oxford: Oxford University Press. https://www.thebritishacademy.ac.uk/documents/3903/93p227.pdf
    [Google Scholar]
  20. Swanson, D. C. (1962). A Formal Analysis of Lucretius' Vocabulary. Minneapolis, MN: Perine Book Company.
    [Google Scholar]
  21. Robey, D. (1993). Scanning Dante's Divine Comedy: A computer-based approach. Literary and Linguistic Computing, 8(2), 81-84.
    [CrossRef] [Google Scholar]
  22. Dexter, J. P., Tripuraneni, N., Dasgupta, T., Kannan, A., Brofos, J. A., Bonilla Lopez, J. A., ... & Chaudhuri, P. (2017). Quantitative criticism of literary relationships. Proceedings of the National Academy of Sciences, 114(16), E3195-E3204.
    [CrossRef] [Google Scholar]
  23. Perveen, T., Munawar, H., Zahra, M., & Lodhi, M. A. (2025). Corpus stylistic exploration of lexical patterns, semantic fields, and contextual meaning in Dante's Divine Comedy. Contemporary Journal of Social Science Review, 3(4), 114-131. https://www.researchgate.net/figure/Review-of-the-previous-researches_tbl2_398932256
    [Google Scholar]
  24. Re, A. (2026). Applicazioni alle lingue e alle letterature classiche delle tecniche di analisi digitale. Umanistica Digitale, 24, 263-288.
    [CrossRef] [Google Scholar]
  25. Matricciani, E. (2019). Deep language statistics of Italian throughout seven centuries of literature and empirical connections with Miller's $7 \pm 2$ law and short-term memory. Open Journal of Statistics, 9, 373-406.
    [CrossRef] [Google Scholar]
  26. Matricciani, E. (2020) A Statistical Theory of Language Translation Based on Communication Theory. Open Journal of Statistics, 10, 936–997.
    [CrossRef] [Google Scholar]
  27. Matricciani, E. (2025). Revealing Short-Term Memory Communication Channels Embedded in Alphabetical Texts: Theory and Experiments. Information, 16(10), 847.
    [CrossRef] [Google Scholar]

  28. [Google Scholar]

  29. [CrossRef] [Google Scholar]
  30. Baddeley, A. (2000). The episodic buffer: A new component of working memory? Trends in Cognitive Sciences, 4(11), 417-423.
    [CrossRef] [Google Scholar]
  31. Matricciani, E. (2024). Multi–Dimensional Data Analysis of Deep Language in JRR Tolkien and CS Lewis Reveals Tight Mathematical Connections. AppliedMath, 4(3), 927-949.
    [CrossRef] [Google Scholar]
  32. Matricciani, E. (2023) Readability Indices Do Not Say It All on a Text Readability. Analytics, 2, 296-314.
    [CrossRef] [Google Scholar]
  33. De Sanctis, F. (2006). Storia della letteratura italiana (first published 1870). Milano: Rizzoli. https://skypescuola.wordpress.com/wp-content/uploads/2015/05/de-sanctis-storia-della-letteratura-italiana.pdf
    [Google Scholar]
  34. Ferroni, G. (2021). Storia della letteratura italiana. Dalle origini al Quattrocento. Milano: Mondadori Università. https://www.mondadoriuniversita.it/libri-universitari/storia-della-letteratura-italiana-giulio-ferroni/
    [Google Scholar]
  35. Frare, P., & Brenna, S. (2023). Dalle origini a Leopardi. La letteratura italiana e le sue grandi opere. Milano: Pearson. https://publicatt.unicatt.it/handle/10807/230632
    [Google Scholar]
  36. Maiden, M. (1995). A Linguistic History of Italian. London: Longman.
    [CrossRef] [Google Scholar]

Cite This Article

APA Style
Matricciani, E. (2026). Are the Hexameters and Hendecasyllables of Classical Poetry a Mathematical Imprint of Short-Term Memory?. Journal of Mathematical Studies of Literature, 1(1), 28-48. https://doi.org/10.62762/JMSL.2026.283501
Export Citation
RIS Format
Compatible with EndNote, Zotero, Mendeley, and other reference managers
TY  - JOUR
AU  - Matricciani, Emilio
PY  - 2026
DA  - 2026/11/10
TI  - Are the Hexameters and Hendecasyllables of Classical Poetry a Mathematical Imprint of Short-Term Memory?
JO  - Journal of Mathematical Studies of Literature
T2  - Journal of Mathematical Studies of Literature
JF  - Journal of Mathematical Studies of Literature
VL  - 1
IS  - 1
SP  - 28
EP  - 48
DO  - 10.62762/JMSL.2026.283501
UR  - https://www.icck.org/article/abs/jmsl.2026.283501
KW  - Aeneid
KW  - De Rerum Natura
KW  - hendecasyllable
KW  - hexameter
KW  - Italian poetry
KW  - linguistic parameters
KW  - Miller's law
KW  - short-term memory
AB  - The hexameter of Greek and Latin epic and the Italian hendecasyllable are usually described in terms of syllables, feet and accents. This paper tests a different hypothesis: that both verses were shaped, without the poets being aware of it, by the number of words a line can hold, a number close to the central value of Miller's $7 \pm 2$ law. On this view the two metres are an imprint of short-term memory, the stage through which information must pass before it is stored in long-term memory and later recalled, as was required in societies where poetry was learned and recited by heart. The hypothesis is examined on Virgil's Aeneid and Lucretius' De Rerum Natura, both written in Latin hexameters, on their classical Italian translations in unrhymed hendecasyllables by Annibale Caro and Alessandro Marchetti, and on Dante's Divina Commedia. For each book, characters, words, sentences, punctuation marks and lines were counted; from these counts I computed word length, sentence length, the word interval (words between two punctuation marks), the number of word intervals per sentence and the number of words per line. A uniformity index is introduced to measure how evenly each parameter is distributed across books. Word length and words per line are almost constant in every text (about 6.4-6.6 words per hexameter and 6.8-7.0 per hendecasyllable), whereas sentence length and word interval change from book to book and, in the Aeneid, between the two hexads. The results suggest that the poets controlled punctuation and sentence structure deliberately, while the length of the line in words was set by short-term memory rather than by syllable counting alone.
SN  - pending
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
BibTeX Format
Compatible with LaTeX, BibTeX, and other reference managers
@article{Matricciani2026Are,
  author = {Emilio Matricciani},
  title = {Are the Hexameters and Hendecasyllables of Classical Poetry a Mathematical Imprint of Short-Term Memory?},
  journal = {Journal of Mathematical Studies of Literature},
  year = {2026},
  volume = {1},
  number = {1},
  pages = {28-48},
  doi = {10.62762/JMSL.2026.283501},
  url = {https://www.icck.org/article/abs/jmsl.2026.283501},
  abstract = {The hexameter of Greek and Latin epic and the Italian hendecasyllable are usually described in terms of syllables, feet and accents. This paper tests a different hypothesis: that both verses were shaped, without the poets being aware of it, by the number of words a line can hold, a number close to the central value of Miller's \$7 \pm 2\$ law. On this view the two metres are an imprint of short-term memory, the stage through which information must pass before it is stored in long-term memory and later recalled, as was required in societies where poetry was learned and recited by heart. The hypothesis is examined on Virgil's Aeneid and Lucretius' De Rerum Natura, both written in Latin hexameters, on their classical Italian translations in unrhymed hendecasyllables by Annibale Caro and Alessandro Marchetti, and on Dante's Divina Commedia. For each book, characters, words, sentences, punctuation marks and lines were counted; from these counts I computed word length, sentence length, the word interval (words between two punctuation marks), the number of word intervals per sentence and the number of words per line. A uniformity index is introduced to measure how evenly each parameter is distributed across books. Word length and words per line are almost constant in every text (about 6.4-6.6 words per hexameter and 6.8-7.0 per hendecasyllable), whereas sentence length and word interval change from book to book and, in the Aeneid, between the two hexads. The results suggest that the poets controlled punctuation and sentence structure deliberately, while the length of the line in words was set by short-term memory rather than by syllable counting alone.},
  keywords = {Aeneid, De Rerum Natura, hendecasyllable, hexameter, Italian poetry, linguistic parameters, Miller's law, short-term memory},
  issn = {pending},
  publisher = {Institute of Central Computation and Knowledge}
}

Article Metrics

Citations
Crossref
0
Scopus
0
Views
100
PDF Downloads
26

Publisher's Note

ICCK stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and Permissions

CC BY Copyright © 2026 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
Journal of Mathematical Studies of Literature
Journal of Mathematical Studies of Literature
ISSN: pending (Online) | ISSN: pending (Print)
Portico
Preserved at
Portico