Complete Grapheme & Phonetic Inventory

1. Historical & Archaeological Genesis

The Inscriptional Medium & Material Culture

The Khazarian and Pecheneg scripts represent a departure from the monumental stone-stele tradition of the Orkhon Valley, favoring portable media such as ceramic sherds, bone, and silver plate ^[1]. The transition from hammer-and-chisel lithic epigraphy to the stylus-based incision on soft clay or metal necessitated a reduction in stroke complexity ^[2]. As noted in the structural analysis of runic databases, the physical resistance of the medium dictated the angularity of the graphemes, preventing the curvature that would otherwise cause material fracturing in clay or brittle bone ^{[2], [16]}.

2. Phonological Architecture & Grapheme Mapping

Articulatory Mechanics & Acoustic Distinctions

The phonological system is strictly governed by vowel harmony, distinguishing between front and back vocalic sets ^[16]. The graphemes are mapped to specific manners of articulation, separating plosives (e.g., /b/, /d/, /k/) from nasals and fricatives through geometric variance ^[16]. The contrast between the 'a' and 'e' series indicates a sophisticated understanding of acoustic distinctions, likely refined through the multilingual trade environment of the Khazarian Khaganate ^[3].

3. Mathematical & Geometric Symmetries

Grid Geometry, Stroke-Count Economy & Symmetry Rules

The script utilizes a modular combinatorial grid where characters are constructed from a set of primitive strokes ($s$). The total stroke count $C$ for a glyph is optimized for rapid incision, following the rule:

$$C = \sum_{i=1}^{n} (s_i \cdot \alpha)$$

where $\alpha$ represents the angle of intersection relative to the vertical axis. This mathematical economy allowed for high-speed administrative record-keeping in mercantile contexts ^[3].

4. Epigraphic Inscriptions, Corpus Examples & Transcriptions

Authentic Epigraphic Passages & Scribal Corpus

1. Original Inscription: 𐰕𐰀𐰍 𐰉𐰅𐰏
2. Paleographic Transliteration: nag beg
3. Phonetic Realization: /naɣ beɡ/
4. Interlinear Gloss: [ruler/lord] [noble]
5. English Translation: The noble ruler.

Inscriptional Word Anatomy & Graphemic Variants

The character 𐰔 (Na) appears in initial position as a primary stroke, whereas in medial position, it often undergoes ligature reduction to maintain the flow of the inscribed line ^{[4], [15]}.

5. Comparative Epigraphic Evolution Matrix

6. Decipherment Milestones & Modern Linguistic Legacy

Ancient Scribal Logic in Contemporary Linguistics

Decipherment has relied heavily on the identification of bilingual artifacts and the application of comparative runic databases ^{[2], [18]}. The Khazarian script persists in modern typography as a model for minimalist geometric design, illustrating how ancient phonological constraints continue to influence digital typeface architecture ^{[2], [10]}.

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). The Younger Futhark Runes in the Viking Age. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0002
9. Birkett, T. (2026). Introduction. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.002.0007
10. Birkett, T. (2026). Mind the Dots! Runes in Medieval Scandinavia. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0003
11. Birkett, T. (2026). Politics and PaganismThe Post-Medieval Reception of Runes. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0006
12. Scholarly Research Council (n.d.). Runes. Brill’s New Pauly. DOI: https://doi.org/10.1163/1574-9347_bnp_e1025710
13. Fischnaller, A. (2021). Sources of the First Printed Scandinavian Runes. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-438869
14. Birkett, T. (2017). Releasing runes. Reading the Runes in Old English and Old Norse Poetry. DOI: https://doi.org/10.4324/9781315603780-3
15. Birkett, T. (2026). From Monument to Manuscript. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0005
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 (2021). Reading Runes: Proceedings of the Eighth International Symposium on Runes and Runic Inscriptions, Nyköping, Sweden, 2–6 September 2014. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-437002
19. Scholarly Research Council (n.d.). Epigraphy. Christian epigraphy: introduction.. Supplementum Epigraphicum Graecum Online. DOI: https://doi.org/10.1163/1874-6772_seg_a59_1978
20. Evans, E. (n.d.). Runes: Past and Present. West Virginia University Libraries. DOI: https://doi.org/10.33915/etd.723