"fit perfectly" within Ptolemy's Phrygian tonos, since, according to Jon Solomon, the arrangement of the tones (1 ½ 1 1 1 ½ 1 [ascending]) "is that of the Phrygian species" according to Cleonides. The overall note series is alternatively described by and Martin Litchfield West as corresponding "to a segment from the Ionian scale". R. P. Winnington-Ingram says "The scale employed is the diatonic octave from e to e (in two sharps). The tonic seems to be a; the cadence is a f e. This piece is … [in] Phrygic (the D mode) with its tonic in the same relative position as that of the Doric." Yet Claude Palisca explains that the difficulty lies in the fact that "the harmoniai had no finals, dominants, or internal relationships that would establish a hierarchy of tensions and points of rest, although the mese ('middle note') may have had a gravitational function". Although the epitaph's melody is "clearly structured around a single octave, … the melody emphasizes the mese by position … rather than the mese by function". Moreover, Charles Cosgrove, building on West, shows that although the notes correspond to the Phrygian octave species, analyzing the song on the assumption that its orientation notes are the standing notes of a set of disjunct tetrachords forming the Phrygian octave species does not sufficiently illumine the melody's tonal structure. The song's pitch centers (notes of emphasis according to frequency, duration, and placement) are, in Greek notational nomenclature, C and Z, which correspond to G and D if the scale is mapped on the white keys of the piano (A and E in the "two sharps" transcription above). These two pitches are mese and nete diezeugmenon of the octave species, but the two other standing notes of that scale's tetrachords (hypate and paramese) do not come into play in significant ways as pitch centers, whether individually or together in intervals forming fourths. The melody is dominated by fifths and thirds; and although the piece ends on hypate, that is the only occurrence of this note. This instance of hypate probably derives its suitability as a final by virtue of being "the same," through octave equivalency, as nete diezeugmenon, the pitch center Z. Date The find has been variously dated, but the first or second century CE is the most probable guess. One authority states that on grounds of paleography the inscription can be "securely dated