Quantitative Measurement of Hakka Phonetic Distances

Abstract

This study proposes a novel approach to measuring phonetic distances among six Hailu Hakka vowels ([i, e, ɨ, a, u, o]) by applying Euclidean distance-based calculations from both articulatory and acoustic perspectives. By analyzing articulatory feature values and acoustic formant structures, vowel distances are systematically represented through linear vector arrangements. These measurements address ongoing debates regarding the central positioning of [ɨ], specifically whether it aligns more closely with front or back vowels and whether [a] or [ɑ] more accurately represents vowel articulation. This study also reassesses the validity of prior acoustic findings on Hailu Hakka vowels and evaluates the correspondence between articulatory normalization and acoustic formant-based models. Through the integration of articulatory and acoustic data, this research advances a replicable and theoretically grounded method for quantitative vowel analysis. The results not only refine phonetic classification within a Euclidean framework but also help resolve transcription inconsistencies in phonetic distance matrices. This study contributes to the growing field of quantitative phonetics by offering a systematic, multidimensional model applicable to both theoretical and experimental investigations of Taiwan Hailu Hakka.

Keywords

• Hakka
• Euclidean distance
• quantitative linguistics
• acoustic phonetics