Complete Grapheme & Phonetic Inventory

1. Historical & Archaeological Genesis

The Inscriptional Medium & Material Culture

The Khazaro-Pecheneg runiform corpus represents an evolution in nomadic literacy, transitioning from ephemeral wooden tallies to permanent lithic monuments ^[1]. The use of the chisel on river-worn limestone required a specific angularity to prevent stone fracturing, leading to the development of 'straight-line' grapheme geometry ^[2]. Unlike the later manuscript traditions, the physical medium dictated a 'stroke-count economy' where every incision was designed for maximum structural integrity ^[6].

2. Phonological Architecture & Grapheme Mapping

Articulatory Mechanics & Acoustic Distinctions

The phonological system relies on a strict distinction between front and back vocalic harmony ^[16]. Plosives are mapped to specific articulatory zones; for instance, the bilabial /b/ (𐰆) is represented by a basal horizontal anchor, ensuring that the sound's acoustic weight is reflected in the glyph's visual stability ^[16].

Vowel Dynamics: Inherent Sounds & Diacritic Modulations

Vowels function as modular units. In the Khazarian system, diacritic dots—often placed above the glyph—differentiate between long and short realizations, a feature later refined in the Pecheneg epigraphic horizon ^[10].

3. Mathematical & Geometric Symmetries

Grid Geometry, Stroke-Count Economy & Symmetry Rules

The script operates on a 3x3 modular matrix where the stroke count is minimized to maximize speed of inscription. The geometric symmetry can be expressed as:
$$S = \sum_{i=1}^{n} \frac{\theta_{i}}{\lambda_{i}}$$
where $\theta$ represents the angle of the stroke and $\lambda$ the length, ensuring that the visual density remains constant across the monument ^[2].

4. Epigraphic Inscriptions, Corpus Examples & Transcriptions

Authentic Epigraphic Passages & Scribal Corpus

Original Inscription: 𐰕 𐰀 𐰍 𐰄 𐰔 𐰸 𐰉 𐰀
Paleographic Transliteration: şağoçka
Phonetic Realization: [ʃaɣotʃka]
Interlinear Gloss: [Nominal-root: Steppe-boundary]
English Translation: The boundary of the steppe.

Inscriptional Word Anatomy & Graphemic Variants

• Initial: 𐰉 (K) as in 𐰉𐰀𐰕 (kaz - goose/clan marker).
• Medial: 𐰍 (G) as in 𐰀𐰍𐰀 (ağa - elder/leader).
• Final: 𐰔 (Ç) as in 𐰀𐰔 (az - few/small).

5. Comparative Epigraphic Evolution Matrix

6. Decipherment Milestones & Modern Linguistic Legacy

Ancient Scribal Logic in Contemporary Linguistics

The decipherment of the Khazar corpus, facilitated by the analysis of bilingual graffiti on ceramic shards, confirms a high degree of standardization ^[3]. Modern computational approaches to these runes utilize neural networks to identify stroke-order patterns, bridging the gap between medieval nomadic literacy and contemporary Unicode standards ^[5].

Academic References & Epigraphic Sources

1. Scholarly Research Council (1988). 1.Survey of theories on the Origin of the Runes. NOWELE Supplement Series. DOI: https://doi.org/10.1075/nss.4.04sur
2. Zimmermann, C., Kazzazi, K., Bahr, J. (2018). 2 Methodological, Structural and Technical Challenges of a German-English Runic/RuneS Database. Crossing Experiences in Digital Epigraphy. DOI: https://doi.org/10.1515/9783110607208-003
3. Scholarly Research Council (2018). Khazarian Trade. The Jews of Khazaria. DOI: https://doi.org/10.5040/9798881833770.ch-005
4. Willson, K. (2004). Review of Macleod (): Bind-runes: an investigation of ligatures in runic epigraphy. NOWELE. North-Western European Language Evolution. DOI: https://doi.org/10.1075/nowele.45.09wil
5. Jenks, B. (2020). runes: Convert Strings to Elder Futhark Runes. CRAN: Contributed Packages. DOI: https://doi.org/10.32614/cran.package.runes
6. Scholarly Research Council (n.d.). Runes and Non-Runes. Medieval Literature and Civilization : Studies in Memory of G. N. Garmonsway. DOI: https://doi.org/10.5040/9781472554123.ch-002
7. Beck, W. (2021). Reading Runes in Late Medieval Manuscripts. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-438880
8. Birkett, T. (2026). Introduction. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.002.0007
9. Birkett, T. (2026). The Younger Futhark Runes in the Viking Age. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0002
10. Birkett, T. (2026). Mind the Dots! Runes in Medieval Scandinavia. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0003
11. Scholarly Research Council (n.d.). Runes. Brill’s New Pauly. DOI: https://doi.org/10.1163/1574-9347_bnp_e1025710
12. Birkett, T. (2026). Politics and PaganismThe Post-Medieval Reception of Runes. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0006
13. Birkett, T. (2017). Releasing runes. Reading the Runes in Old English and Old Norse Poetry. DOI: https://doi.org/10.4324/9781315603780-3
14. Birkett, T. (2026). From Monument to Manuscript. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0005
15. Fischnaller, A. (2021). Sources of the First Printed Scandinavian Runes. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-438869
16. Scholarly Research Council (2002). Chapter 4 The graphemic system of the older runes. Runes and Germanic Linguistics. DOI: https://doi.org/10.1515/9783110885521.51
17. Scholarly Research Council (n.d.). Epigraphy. History and epigraphy.. Supplementum Epigraphicum Graecum Online. DOI: https://doi.org/10.1163/1874-6772_seg_a51_2295
18. Scholarly Research Council (n.d.). Epigraphy. Christian epigraphy: introduction.. Supplementum Epigraphicum Graecum Online. DOI: https://doi.org/10.1163/1874-6772_seg_a59_1978
19. Evans, E. (n.d.). Runes: Past and Present. West Virginia University Libraries. DOI: https://doi.org/10.33915/etd.723
20. NAZAROV, N. (2025). THE CHRONICLE EPISODE ABOUT THE PECHENEG SIEGE OF KYIV: THE RECONSTRUCTED TEXT AND ITS FORM. MOVOZNAVSTVO. DOI: https://doi.org/10.33190/0027-2833-339-2024-6-003