The Phaistos Disc as a Liturgical Mnemonic: A Statistical Analysis of the Text Structure

This paper revisits the formulation of the Phaistos Disc problem: instead of the question "what is written" it addresses the question "what is it". Main results: (1) the text is organised as a refrain grid: the group A16 = A19 = A22 (the sequence 02-12-31-26) forms an arithmetic progression with step 3, and the entire middle part of side A (A14-A22) follows the pattern X-Y-R-Z-U-R-X-Y-R; the probability of such a pattern under random shuffling does not exceed 2.5e-3, and all inter-refrain distances on side A are multiples of 3 (p = 0.001). (2) Side asymmetry: refrain occurrences are concentrated on side A (12 vs 1; p = 0.006), ruling out the "two half-years" model and pointing to two different genres of writing. (3) Formulaic structure: the initial formula 02-12 occurs in 12 of the 31 groups of side A (p < 1e-4, Monte Carlo) and never mid-group; sign 02 opens the group in all 19 of its occurrences; an isomorphism is shown with the documented genre of ritual records in Linear B (series Fp, Fr, Fs: rubric "month/occasion" -> item -> recipient), which explains the absence of numerical signs; as a contemporaneous intermediate link, the formulaic fixation of initial formulas in libation inscriptions of Linear A is recorded. (4) Cross-artefact comparison with the bronze axe from Arkalochori: the positional marker works on the axe as well (the feathered head segments the sequence with step 3, p ≈ 0.002), and the axe's four-sign formula is reproduced identically on two independent objects (AR Zf1, Zf2) — the first cross-artefact argument in the history of the Disc's study. (5) Final model: the Disc is a liturgical mnemonic of a ritual cycle, not a text and not an accounting ledger (limits of applicability in Section 12). (6) The "frame + insert" mechanism test gives a null result at the word level, while at the section level it confirms the isomorphism with the axe (p ≈ 0.006); the joint cross-artefact estimate is of the order of 1e-5. (7) Sensitivity to palaeographic noise: formulaic significance survives 100% of mutations replacing up to 8 of 123 signs on side A; the refrain grid keeps at least two copies in 87% of mutations. (8) All five independent components are combined into one composite criterion (Fisher's method: T = 66.5, 10 d.f., p ≈ 2.1e-10; removing any single component: ≤ 1.7e-7); control checks on synthetic texts and administrative Linear B series show no false positives. This deposit contains two parallel language versions with identical content: EN — The Phaistos Disc as a Liturgical Mnemonic (15 pp.); RU — Фестский диск как литургическая мнемоника (15 стр.).