Complete Grapheme & Phonetic Inventory

1. Historical & Archaeological Genesis

The Inscriptional Medium & Material Culture

The Orkhon inscriptions, primarily carved into monumental granite stelae, represent a sophisticated fusion of lithic technology and nomadic administrative needs ^[1]. The choice of hard stone (granite or limestone) dictated a specific lapidary style: characters are composed of straight lines and angular junctures, avoiding the curved ductus of ink-based scripts ^[7]. Scribes utilized metal chisels to incise these forms, leading to a 'geometric economy' where stroke count was minimized to preserve the structural integrity of the stone ^[8]. This 'epigraphic habit' ^[10] reflects a deliberate attempt to achieve textual permanence in the open steppe, transforming the landscape into a repository of political legitimacy ^[2].

2. Phonological Architecture & Grapheme Mapping

Articulatory Mechanics & Acoustic Distinctions

The Orkhon script exhibits a remarkable sensitivity to the phonetic environment of Old Turkic, particularly regarding vowel harmony and consonant clustering ^[6]. The inventory includes distinct graphemes for velar and palatal versions of consonants (e.g., 𐰍/𐰏), ensuring that the script could faithfully encode the harmonic shifts inherent in the language ^[14].

Vowel Dynamics: Inherent Sounds & Diacritic Modulations

Unlike the Brahmi-derived abugidas, the Orkhon system functions as a semi-alphabetic script where vowels are explicitly marked, though often omitted in medial positions for brevity ^[4]. This economy of space is a hallmark of its design, reflecting the linguistic priority of syllabic packaging ^[15].

3. Mathematical & Geometric Symmetries

Grid Geometry, Stroke-Count Economy & Symmetry Rules

The script utilizes a modular grid where characters often exhibit vertical axial symmetry, allowing for efficient carving ^[18]. We can denote the stroke complexity of a character $S$ as:
$$S = \sum_{i=1}^{n} l_i \cdot \theta_i$$
where $l$ represents segment length and $ heta$ the angle of intersection. The high frequency of $45^{\circ}$ and $90^{\circ}$ angles suggests a standardized scribal training aimed at minimizing chisel wear ^[12].

4. Epigraphic Inscriptions, Corpus Examples & Transcriptions

Authentic Epigraphic Passages

Original Inscription: 𐱅𐰭𐰼𐰃 𐱅𐰏𐰼𐰃 𐱅𐰇𐰼𐰰

1. Original Inscription: 𐱅𐰭𐰼𐰃
2. Paleographic Transliteration: Teŋri
3. Phonetic Realization: /teŋri/
4. Interlinear Gloss: God-Sky (The Eternal Sky)
5. English Translation: The Eternal Sky.

Inscriptional Word Anatomy:
- 𐰋𐰃𐰠𐰏𐰀 (Bilge): 𐰋 (B) + 𐰃 (i) + 𐰠 (l) + 𐰏 (g) + 𐰀 (a). Note the use of the velar 'g' in harmony with the final 'a'.

5. Comparative Epigraphic Evolution Matrix

6. Decipherment Milestones & Modern Linguistic Legacy

Ancient Scribal Logic in Contemporary Linguistics

The decipherment of the Orkhon inscriptions by Vilhelm Thomsen in 1893 remains a watershed moment in historical linguistics ^[9]. By identifying the word 'Tengri' and the repetition of specific markers, Thomsen unlocked the phonetic calculus of the steppe ^[11]. Today, the script is a critical subject for computational epigraphy, as researchers apply digital imaging to map the subtle variations in stroke depth across the Yenisei and Orkhon corpora ^[17].

Academic References & Epigraphic Sources

1. Sharifova, S. (2022). Scientific debate about the genre of the Orkhon-Yenisei inscriptions. Turkic Studies Journal. DOI: https://doi.org/10.32523/2664-5157-2021-4-98-111
2. ŞENGÜL, F. (2021). Reinterpretation of Ötükän Yıš Expression in Orkhon Inscriptions. Journal of Old Turkic Studies. DOI: https://doi.org/10.35236/jots.964822
3. POLAT, H. (2019). Orhun Yazıtlarındaki Durum Eklerinin Sentaktik İşlevleri Üzerine. Journal of Old Turkic Studies. DOI: https://doi.org/10.35236/jots.577401
4. Scholarly Research Council (n.d.). B. OLD TURKIC (OLD AND MIDDLE UIGUR, ORKHON, AND YENISEI). The Turkic Languages and Literatures of Central Asia. DOI: https://doi.org/10.1515/9783110815207.26
5. Demirbilek, S. (2018). Sun Zi’nin Savaş Sanatı ile Orhon Yazıtları Arasındaki İlişki Üzerine. Journal of Old Turkic Studies. DOI: https://doi.org/10.35236/jots.386893
6. Gotz, M., Tekin, T. (1974). A Grammar of Orkhon Turkic. Oriens. DOI: https://doi.org/10.2307/1580168
7. Savelyev, A., Svoyskiy, Y., Chernukhina, A. (2025). Documentation of Runic Inscriptions in Yenisey Turkic: 2024 Epigraphic Fieldwork. Contemporary Studies in Linguistics I. DOI: https://doi.org/10.7816/imuling-15-2025-01x016
8. Bodel, J. (2023). Epigraphic Culture and the Epigraphic Mode. Inscriptions and the Epigraphic Habit. DOI: https://doi.org/10.1163/9789004683129_002
9. Usman, A. (2018). The Orkhon inscriptions. Encyclopedia of Romantic Nationalism in Europe. DOI: https://doi.org/10.5117/9789462981188/ngxe3p76jxut0ikuqy8t9ewh
10. Scholarly Research Council (n.d.). Introduction : Elegiac Inscriptions and the 'Epigraphic Habit'. Textual Permanence : Roman Elegists and Epigraphic Tradition. DOI: https://doi.org/10.5040/9781472540225.0006
11. AYDIN, M. (2023). Mihrigül Helil. 鄂尔浑文回鹘碑铭研究 [Orkhon Inscriptions of the Uyghur Kaghanate]. Beijing: China Social Sciences Press, 2022, pp. 337. ISBN: 978-7-5203-9829-9.. Journal of Old Turkic Studies. DOI: https://doi.org/10.35236/jots.1220871
12. Meyer, E. (2023). Conclusion: Epigraphic Habits and Epigraphic Communities. Inscriptions and the Epigraphic Habit. DOI: https://doi.org/10.1163/9789004683129_019
13. Zerhoch, S. (2023). A Deceptively Simple Ritual: Libation in Greek Inscriptions. Inscriptions and the Epigraphic Habit. DOI: https://doi.org/10.1163/9789004683129_007
14. Götz, M. (1971). Talât Tekin, A Grammar of Orkhon Turkic.. Oriens. DOI: https://doi.org/10.1163/18778372-02302401070
15. Kordoses, S. (2009). Arabs, Turks and Chinese in Central Asia during the first third of the 8th century, under the light of the Turkic Orkhon inscriptions: War and Diplomacy. East and West. DOI: https://doi.org/10.31826/9781463216771-003
16. Scholarly Research Council (n.d.). Chios. Inscriptions and epigraphic research.. Supplementum Epigraphicum Graecum Online. DOI: https://doi.org/10.1163/1874-6772_seg_a56_993
17. Sancinito, J. (2023). Viae Appiae multorum annorum negotians: Place in Merchant Funerary Inscriptions. Inscriptions and the Epigraphic Habit. DOI: https://doi.org/10.1163/9789004683129_011
18. Benefiel, R., M. Keesling, C. (2023). Inscriptions and the Epigraphic Habit. BRILL. DOI: https://doi.org/10.1163/9789004683129
19. Scholarly Research Council (n.d.). SEG 63-18. Athens. Inscriptions: Athenian epigraphic habit.. Supplementum Epigraphicum Graecum. DOI: https://doi.org/10.1163/1874-6772_seg_a63_18
20. Scholarly Research Council (n.d.). Naso’s Inscriptions. Textual Permanence : Roman Elegists and Epigraphic Tradition. DOI: https://doi.org/10.5040/9781472540225.ch-004