Empirical syllable length in performance of hexameter

David Fifield <david@bamsoftware.com>

https://www.bamsoftware.com/talks/metri-causa-2023/

We conceptualize or model a line of Greek hexameter as a grid:

1 2 2.5 3 4 4.5 5 6 6.5 7 8 8.5 9 10 10.5 11 12

One long syllable is equal to two short syllables, and all long syllables are equal.

It might be compared to musical notation (measure ≃ foot):

– ⏑ ⏑ – ⏑ ⏑ – ⏑ ⏑ – ⏑ ⏑ – ⏑ ⏑ – –

♩♫|♩♫|♩♫|♩♫|♩♫|♩♩|

Imagine ties to indicate the boundaries of words, still composed of a sum of quarter and eight notes:

♩♩|♩♫|♩♫|♩♫|♩♫|♩♩| ἦμος δ’ ἠριγένεια φάνη ῥοδοδάκτυλος Ἠώς

Performance of music does not always match the literal notation. Performers lengthen, shorten, delay notes for various reasons.

Does actual performance of Greek hexameter accord with the grid-based conceptualization?

If not, in what ways does it tend to differ?

Sources of performances

Internet Archive

Odyssey 9.437–439

ἦμος δ’ ἠριγένεια φάνη ῥοδοδάκτυλος Ἠώς,
καὶ τότ’ ἔπειτα νομόνδ’ ἐξέσσυτο ἄρσενα μῆλα,
θήλειαι δὲ μέμηκον ἀνήμελκτοι περὶ σηκούς·

Hélène Kémiktsi 2018
John F. C. Richards 1961
Odyssey 1.1–5

ἄνδρα μοι ἔννεπε, μοῦσα, πολύτροπον, ὃς μάλα πολλὰ
πλάγχθη, ἐπεὶ Τροίης ἱερὸν πτολίεθρον ἔπερσεν·
πολλῶν δ’ ἀνθρώπων ἴδεν ἄστεα καὶ νόον ἔγνω,
πολλὰ δ’ ὅ γ’ ἐν πόντῳ πάθεν ἄλγεα ὃν κατὰ θυμόν,
ἀρνύμενος ἥν τε ψυχὴν καὶ νόστον ἑταίρων.

Hélène Kémiktsi 2018
Patrick Boyd 2020
David Chamberlain 2018

Audio segmentation

Praat – https://www.fon.hum.uva.nl/praat/

A screenshot of Praat with an audio file in the process of being marked up for lines, words, and syllables

Video demo: https://archive.org/details/sedes-praat-odyssey-9_458-459

Data so far at https://github.com/sasansom/phonetics

work,book_n,line_n,word_n,word,syllable_n,syllable,t_begin,t_end
Od.,9,437,1,ἦμος,1,ἦ,3.539302,3.866121
Od.,9,437,1,ἦμος,2,μος,3.866121,4.123347
Od.,9,437,2,δʼ,1,δʼ,4.358528,4.510836
Od.,9,437,3,ἠριγένεια,1,ἠ,4.614314,4.921169
Od.,9,437,3,ἠριγένεια,2,ρι,4.921169,5.124992
Od.,9,437,3,ἠριγένεια,3,γέν,5.124992,5.324269
Od.,9,437,3,ἠριγένεια,4,ει,5.324269,5.645382
Od.,9,437,3,ἠριγένεια,5,α,5.645382,5.785575
Od.,9,437,4,φάνη,1,φά,5.943990,6.042322
Od.,9,437,4,φάνη,2,νη,6.042322,6.544669
Od.,9,437,5,ῥοδοδάκτυλος,1,ῥο,6.786806,7.124554
Od.,9,437,5,ῥοδοδάκτυλος,2,δο,7.124554,7.355420
Od.,9,437,5,ῥοδοδάκτυλος,3,δάκ,7.436495,7.532689
Od.,9,437,5,ῥοδοδάκτυλος,4,τυ,7.746454,7.872108
Od.,9,437,5,ῥοδοδάκτυλος,5,λος,7.872108,8.244817
Od.,9,437,6,Ἠώς,1,Ἠ,8.411553,8.652478
Od.,9,437,6,Ἠώς,2,ώς,8.652478,9.013262
workbook_nline_nword_nwordsyllable_nsyllablet_begint_end
Od.94371ἦμος13.5393023.866121
Od.94371ἦμος2μος3.8661214.123347
Od.94372δʼ1δʼ4.3585284.510836
Od.94373ἠριγένεια14.6143144.921169
Od.94373ἠριγένεια2ρι4.9211695.124992
Od.94373ἠριγένεια3γέν5.1249925.324269
Od.94373ἠριγένεια4ει5.3242695.645382
Od.94373ἠριγένεια5α5.6453825.785575
Od.94374φάνη1φά5.9439906.042322
Od.94374φάνη2νη6.0423226.544669
Od.94375ῥοδοδάκτυλος1ῥο6.7868067.124554
Od.94375ῥοδοδάκτυλος2δο7.1245547.355420
Od.94375ῥοδοδάκτυλος3δάκ7.4364957.532689
Od.94375ῥοδοδάκτυλος4τυ7.7464547.872108
Od.94375ῥοδοδάκτυλος5λος7.8721088.244817
Od.94376Ἠώς18.4115538.652478
Od.94376Ἠώς2ώς8.6524789.013262

Scansion

SEDES does a lot—in particular it gives you the scansion of hexameter texts. (Using an algorithm by Hope Ranker.)

sedes$ src/tei2csv Od. corpus/odyssey.xml | head -n 20
work,book_n,line_n,word_n,word,lemma,sedes,metrical_shape,scanned,num_scansions
Od.,1,1,1,ἄνδρα,ἀνήρ,1,–⏑,auto,1
Od.,1,1,2,μοι,ἐγώ,2.5,⏑,auto,1
Od.,1,1,3,ἔννεπε,ἐνέπω,3,–⏑⏑,auto,1
Od.,1,1,4,μοῦσα,Μοῦσα,5,–⏑,auto,1
Od.,1,1,5,πολύτροπον,πολύτροπος,6.5,⏑–⏑⏑,auto,1
Od.,1,1,6,ὃς,ὅς,9,–,auto,1
Od.,1,1,7,μάλα,μάλα,10,⏑⏑,auto,1
Od.,1,1,8,πολλὰ,πολύς,11,––,auto,1
Od.,1,2,1,πλάγχθη,πλάζω,1,–⏑,auto,1
Od.,1,2,2,ἐπεὶ,ἐπεί,2.5,⏑–,auto,1
Od.,1,2,3,τροίης,τρέω,4,––,auto,1
Od.,1,2,4,ἱερὸν,ἱερός,6,⏑⏑–,auto,1
Od.,1,2,5,πτολίεθρον,πτολίεθρον,8,⏑⏑–⏑,auto,1
Od.,1,2,6,ἔπερσεν,πέρθω,10.5,⏑––,auto,1
Od.,1,3,1,πολλῶν,πολύς,1,––,auto,1
Od.,1,3,2,δ’,δέ,3,,auto,1
Od.,1,3,3,ἀνθρώπων,ἄνθρωπος,3,–––,auto,1
Od.,1,3,4,ἴδεν,εἶδον,6,⏑⏑,auto,1
Od.,1,3,5,ἄστεα,ἄστυ,7,–⏑⏑,auto,1
workbook_nline_nword_nwordlemmasedesmetrical_shapescannednum_scansions
Od.111ἄνδραἀνήρ1–⏑auto1
Od.112μοιἐγώ2.5auto1
Od.113ἔννεπεἐνέπω3–⏑⏑auto1
Od.114μοῦσαΜοῦσα5–⏑auto1
Od.115πολύτροπονπολύτροπος6.5⏑–⏑⏑auto1
Od.116ὃςὅς9auto1
Od.117μάλαμάλα10⏑⏑auto1
Od.118πολλὰπολύς11––auto1
Od.121πλάγχθηπλάζω1–⏑auto1
Od.122ἐπεὶἐπεί2.5⏑–auto1
Od.123τροίηςτρέω4––auto1
Od.124ἱερὸνἱερός6⏑⏑–auto1
Od.125πτολίεθρονπτολίεθρον8⏑⏑–⏑auto1
Od.126ἔπερσενπέρθω10.5⏑––auto1
Od.131πολλῶνπολύς1––auto1
Od.132δ’δέ3auto1
Od.133ἀνθρώπωνἄνθρωπος3–––auto1
Od.134ἴδενεἶδον6⏑⏑auto1
Od.135ἄστεαἄστυ7–⏑⏑auto1

https://sasansom.github.io/sedes/odyssey_all.html
Align to sedes grid

Observations

Line duration in Odyssey 9.437–463 Bar chart showing duration of each line in Odyssey 9.437–439 by Hélène Kémiktsi and John F. C. Richards
Syllable duration in Odyssey 9.437–463 Boxplot showing the distribution of syllable for long and short syllables and both Hélène Kémiktsi and John F. C. Richards
PerformerNominal syllable lengthminmeanmaxstdev
Hélène KémiktsiShort0.1050.3170.6900.125
Hélène KémiktsiLong0.0880.3780.7790.145
John F. C. RichardsShort0.0780.2430.5010.105
John F. C. RichardsLong0.0960.3900.6900.118
Comparison of two performers in Odyssey 9.437–463 Scatterplot comparing the duration of each syllable in Odyssey 9.437–439 between Hélène Kémiktsi and John F. C. Richards

Limitations & future work

"Evidence from Experimental Psychology for the Rhythm and Metre of Greek Verse", Devine & Stephens 1993
…the simple tone patterns of these psychological experiments and in the far more complex prosody of speech, the definitional 1:2 ratio is subject to modification reflecting the higher level hierarchical structure of the pattern, specifically the grouping of the pattern elements into rising or falling rhythms and the demarcation of higher level structures. These modifications need to be factored out in evaluating the accuracy not only of 1:2 ratios but also off 1:1 ratios in actual production tokens. Similarly, in music performance, the time values of notes are not precisely respected for a variety of reasons, including accent marking, demarcative decelerando, and expressive factors. It follows that music is abstractly organized in terms of simple integral ratios and concretely implemented by complex nonintegral ratios. Just like quantitative verse.