/**
 * Greek Isopsephy Letter-Value Tables
 *
 * Letter-value mappings derived from primary sources.
 *
 * ## Primary Sources (Public Domain)
 *
 * ### Standard Isopsephy (ἰσοψηφία)
 *
 * Gow, James. "The Greek Numerical Alphabet." *The Journal of Philology* 12
 *   (1883): 278–284.
 *
 * - Internet Archive: https://archive.org/details/journalofphilolo12claruoft
 * - PDF pages 292–298 (article pp. 278–284)
 *
 * ### Reduced/Pythmen (πυθμήν)
 *
 * Hippolytus of Rome. *Refutation of All Heresies*. Translated by J. H. MacMahon.
 *   In *Ante-Nicene Fathers*, vol. 5, edited by Alexander Roberts and James
 *   Donaldson, 9–153. Buffalo, NY: Christian Literature Publishing, 1886.
 *   Book IV, Chapter 14.
 *
 * - Internet Archive: https://archive.org/details/antenicenefathe00444gut
 * - Early Church Texts: http://www.earlychurchtexts.com/public/hippolytus_refutation_book4.htm
 * - New Advent: https://www.newadvent.org/fathers/050104.htm
 *
 * ### Ordinal (Alphabet Order)
 *
 * Heath, Thomas L. *A History of Greek Mathematics*. Vol. 1, From Thales to
 *   Euclid. Oxford: Clarendon Press, 1921.
 *
 * - Internet Archive (Vol 1): https://archive.org/details/ahistorygreekma00heatgoog
 * - Internet Archive (Vol 2): https://archive.org/details/historyofgreekma029268mbp
 */
import type { LetterValueTable } from './types.js';
/**
 * STANDARD ISOPSEPHY (ἰσοψηφία)
 *
 * The Milesian/Ionic numeral system using 27 letters (24 standard + 3 archaic).
 *
 * ## Source Quote (Gow 1883, p. 279)
 *
 * > "But at some date, at present unknown, the Greeks adopted the practice of
 * > using the letters of the alphabet in order as their numeral signs, and
 * > this style ultimately became universal among Greek-speaking peoples. The
 * > alphabet so used was the Ionic, with three additions, the so-called
 * > ἐπίσημα. For 6 (after ε') ς', the old digamma, was used: for 90 (after π')
 * > ϙ': and finally for 900 (after ω') ͵ was added."
 *
 * ## Letter Values
 *
 * | Range | Letters | Values |
 * |-------|---------|--------|
 * | Units | α, β, γ, δ, ε, ϛ, ζ, η, θ | 1–9 |
 * | Tens | ι, κ, λ, μ, ν, ξ, ο, π, ϟ | 10–90 |
 * | Hundreds | ρ, σ, τ, υ, φ, χ, ψ, ω, ϡ | 100–900 |
 */
export declare const STANDARD: LetterValueTable;
/**
 * ORDINAL - Sequential Position Value (α=1, β=2, ... ω=24)
 *
 * Uses the standard 24-letter Greek alphabet. Archaic letters (stigma, koppa,
 * sampi) have isopsephy values but NO ordinal position.
 *
 * ## Primary Source (EXPLICIT)
 *
 * Dionysius Thrax. *Ars Grammatica* (Τέχνη Γραμματική). Section 6. 2nd century BCE.
 *
 * > Greek: τὰ δὲ αὐτὰ καὶ στοιχεῖα καλεῖται διὰ τὸ ἔχειν στοῖχόν τινα καὶ τάξιν
 * > Translation: "These same [letters] are also called stoicheia because they
 * > have a certain order (stoichos) and arrangement (taxis)."
 *
 * - English translation: https://en.wikisource.org/wiki/The_grammar_of_Dionysios_Thrax
 * - Greek text: Uhlig, Gustav, ed. *Dionysii Thracis Ars Grammatica*. Leipzig:
 *   Teubner, 1883. https://archive.org/details/dionysiithracis00unkngoog
 *
 * ## Supporting Evidence
 *
 * **Earliest Fixed Order:** The Abecedarium of Samos (c. 660 BCE) demonstrates
 * the Greek alphabet order was fixed by the 7th century BCE.
 *
 * - Jeffery, L.H. *The Local Scripts of Archaic Greece*. Rev. ed. with supplement
 *   by A.W. Johnston. Oxford: Clarendon Press, 1990.
 *   https://archive.org/details/localscriptsofar0000jeff
 *
 * **Musical Notation:** Greek musical notation assigned letters sequentially to
 * pitches, using alphabet position as an ordering principle.
 *
 * - Alypius. *Introduction to Music* (Εἰσαγωγὴ μουσική). c. 350 CE. In
 *   Meibom, Marcus, ed. *Antiquae Musicae Auctores Septem*. Amsterdam, 1652.
 *   https://archive.org/details/antiquaemusicaea00meib
 *
 * ## Historical Context
 *
 * The Greek alphabet was standardized in Athens in 403 BCE (Euclidean reform)
 * and adopted pan-Hellenically by the mid-4th century BCE. Sequential letter
 * numbering for ordinal purposes is attested in Homer's Iliad (books α-ω) and
 * Aristotle's works.
 */
export declare const ORDINAL: LetterValueTable;
/**
 * Archaic Greek letters that have isopsephy values but no ordinal position.
 *
 * These are the three "episema" (ἐπίσημα) retained from older alphabets
 * solely for numerical purposes:
 * - Stigma (Ϛ/ϛ) = 6 (from digamma)
 * - Koppa (Ϟ/ϟ) = 90
 * - Sampi (Ϡ/ϡ) = 900
 */
export declare const ARCHAIC_LETTERS: Set<string>;
/**
 * REDUCED / PYTHMEN (πυθμήν)
 *
 * Note: Reduced is a COMPUTATION on standard values, not a lookup table.
 * The digital root function is implemented in the main greek.ts module.
 *
 * ## Source Quote (Hippolytus, Refutation of All Heresies IV.14)
 *
 * > "The Pythagoreans... reduced numbers greater than 10 to the first nine
 * > numbers, taking into account only their root or pythmen."
 *
 * ## Method
 *
 * The "Pythagoras to Telauges" (Πυθαγόρας πρὸς Τελαύγην) divination method
 * uses mod 9 reduction to produce values 1-9. Mathematically equivalent to
 * digital root: repeatedly sum digits until a single digit remains.
 *
 * ## Manuscript Evidence
 *
 * Attested in ~60 Byzantine manuscripts (Kalvesmaki 2006).
 */
//# sourceMappingURL=systems.d.ts.map