Published online by Cambridge University Press: 15 February 2016
This article presents a novel OT analysis of ternary rhythm, using the restrictive format of McCarthy (2003)'s categorical alignment constraints, which we will refer to as ‘non-intervention constraints’, using the terminology of Ellison (1994), and argues for the rehabilitation of internally layered feet in metrical representations (i.e. feet with one layer of recursion). By means of a computer-generated factorial typology, we demonstrate that the constraint set proposed here generates the full typology of binary and ternary rhythm. The resulting typology suggests that there is no absolute boundary between binary and ternary systems; rather, a continuum emerges, such that binary and ternary feet may coexist in rhythmic stress systems.
This paper has benefited from comments from the associate editor, three anonymous reviewers and audiences at the Manchester Phonology Meeting 2013, the Annual Meeting on Phonology 2014 at MIT and the Workshop on the Formal Structure of OT Typologies 2015 at Rutgers University. It has also benefited greatly from discussion and feedback from Birgit Alber, John Alderete, Ryan Bennett, Jeroen Breteler, Gene Buckley, Patrik Bye, Junko Ito, Martin Krämer, Armin Mester and Alan Prince. Thanks to Jeroen Breteler for writing the script for generating candidate sets, and to Natalie DelBusso, Nazarré Merchant and Alan Prince for running additional simulations in OTWorkplace. For financial and scientific support, the first author is grateful to the Centre for Advanced Study in Theoretical Linguistics (CASTL) in Tromsø, where the research was carried out. The second author's research was supported by the Netherlands Organisation for Scientific Research (NWO) in the framework of the project ‘Parsing and metrical structure: where phonology meets processing’ (360-89-030).