Harmonic Syntax of the Twelve-Bar Blues Form: A Corpus Study

THIS PAPER DESCRIBES THE CONSTRUCTION AND analysis of a corpus of harmonic progressions from 12-bar blues forms included in the jazz repertoire collection The Real Book. A novel method of coding and analyzing such corpus data is developed, with a notion of ‘‘possible harmonic change’’ derived from the corpus and logit mixed-effects regression models that describe the difference between actually occurring harmonic events and possible but non-occurring ones in terms of various sets of theoretical constructs. Models using different sets of constructs are compared using the Bayesian Information Criterion, which assesses the accuracy and efficiency of each model. The principal results are that: (1) transitional probabilities are better modeled using root-motion and chord-frequency information than they are using pairs of individual chords; (2) transitional probabilities are better described using a mixture model intermediate in complexity between a bigram and full trigram model; and (3) the difference between occurring and non-occurring chords is more efficiently modeled with a hierarchical, recursive context-free grammar than it is as a Markov chain. The results have implications for theories of harmony, composition, and cognition more generally

A Fredholm Determinant for Semi-classical Quantization

We investigate a new type of approximation to quantum determinants, the ``\qFd", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the \qS s derived from the \Gt. The conjecture is supported by numerical investigations of the 3-disk repeller, a normal-form model of a flow, and a model 2-$d$ map.Comment: Revtex, Ask for figures from [email protected]

The evolution of auditory contrast

This paper reconciles the standpoint that language users do not aim at improving their sound systems with the observation that languages seem to improve their sound systems. Computer simulations of inventories of sibilants show that Optimality-Theoretic learners who optimize their perception grammars automatically introduce a so-called prototype effect, i.e. the phenomenon that the learner’s preferred auditory realization of a certain phonological category is more peripheral than the average auditory realization of this category in her language environment. In production, however, this prototype effect is counteracted by an articulatory effect that limits the auditory form to something that is not too difficult to pronounce. If the prototype effect and the articulatory effect are of a different size, the learner must end up with an auditorily different sound system from that of her language environment. The computer simulations show that, independently of the initial auditory sound system, a stable equilibrium is reached within a small number of generations. In this stable state, the dispersion of the sibilants of the language strikes an optimal balance between articulatory ease and auditory contrast. The important point is that this is derived within a model without any goal-oriented elements such as dispersion constraints

Creating Singing Vocal Expressions by means of Interactive Evolutionary Computation

Today, researches for singing by computer have attracted attention. VOCALOID is an application to realize that aim. By inputing lyrics and melody, users can make songs sung by the computer. In order to make the singing voice more "human", users must control frequency curve very carefully. Comparing with inputing lyrics or melody, this controlling presents heavy overhead for users. In this research, we propose a system for easily optimizing frequency curves. This system searches for parameters with a type of GA called Interactive Evolutionary Computation (IEC). On the other hand, the system using IEC has a phase for users to evaluate, we need to consider the tiredness of users. This tiredness is connected to the effectiveness of the search with GA. In this research, for the analysis of the tiredness of users, we evaluated the convergence performance of GA to fit the goal which is known in advance. As a result, we found that our method has better convergence performance than a previous method

Extending Hidden Structure Learning: Features, Opacity, and Exceptions

This dissertation explores new perspectives in phonological hidden structure learning (inferring structure not present in the speech signal that is necessary for phonological analysis; Tesar 1998, Jarosz 2013a, Boersma and Pater 2016), and extends this type of learning towards the domain of phonological features, towards derivations in Stratal OT (Bermúdez-Otero 1999), and towards exceptionality indices in probabilistic OT. Two more specific themes also come out: the possibility of inducing instead of pre-specifying the space of possible hidden structures, and the importance of cues in the data for triggering the use of hidden structure. In chapters 2 and 4, phonological features and exception groupings are induced by an unsupervised procedure that finds units not explicitly given to the learner. In chapters 2 and 3, there is an effect of non-specification or underspecification on the hidden level whenever the data does not give enough cues for that hidden level to be used. When features are hidden structure (chapter 2), they are only used for patterns that generalize across multiple segments. When intermediate derivational levels are hidden structure (chapter 3), the hidden structure necessary for opaque interactions is found more often when additional cues for the stratal affiliation of the opaque process are present in the data. Chapter 1 motivates and explains the central questions in this dissertation. Chapter 2 shows that phonological features can be induced from groupings of segments (which is motivated by phonetic non-transparency of feature assignment, see, e.g., Anderson 1981), and that patterns that do not generalize across segments are formulated in terms of segments in such a model. Chapter 3 implements a version of Stratal OT (Bermúdez-Otero 1999), and confirms Kiparsky’s (2000) hypothesis that evidence for an opaque process’ stratal affiliation makes it easier to learn an opaque interaction, even when opaque interactions are more difficult to learn than their transparent counterparts. Chapter 4 proposes a probabilistic (instead of non-probabilistic; e.g. Pater 2010) learner for lexically indexed constraints (Pater 2000) in Expectation Driven Learning (Jarosz submitted), and demonstrates its effectiveness on Dutch stress (van der Hulst 1984, Kager 1989, Nouveau 1994, van Oostendorp 1997)

Headedness and/or grammatical anarchy?

In most grammatical models, hierarchical structuring and dependencies are considered as central features of grammatical structures, an idea which is usually captured by the notion of “head” or “headedness”. While in most models, this notion is more or less taken for granted, there is still much disagreement as to the precise properties of grammatical heads and the theoretical implications that arise of these properties. Moreover, there are quite a few linguistic structures that pose considerable challenges to the notion of “headedness”. Linking to the seminal discussions led in Zwicky (1985) and Corbett, Fraser, & Mc-Glashan (1993), this volume intends to look more closely upon phenomena that are considered problematic for an analysis in terms of grammatical heads. The aim of this book is to approach the concept of “headedness” from its margins. Thus, central questions of the volume relate to the nature of heads and the distinction between headed and non-headed structures, to the process of gaining and losing head status, and to the thought-provoking question as to whether grammar theory could do without heads at all. The contributions in this volume provide new empirical findings bearing on phenomena that challenge the conception of grammatical heads and/or discuss the notion of head/headedness and its consequences for grammatical theory in a more abstract way. The collected papers view the topic from diverse theoretical perspectives (among others HPSG, Generative Syntax, Optimality Theory) and different empirical angles, covering typological and corpus-linguistic accounts, with a focus on data from German

Language, Nation, Race

A free open access ebook is available upon publication. Learn more at www.luminosoa.org. Language, Nation, Race explores the various language reforms at the onset of Japanese modernity, a time when a “national language” (kokugo) was produced to standardize Japanese. Faced with the threat of Western colonialism, Meiji intellectuals proposed various reforms to standardize the Japanese language in order to quickly educate the illiterate masses. This book liberates these language reforms from the predetermined category of the “nation,” for such a notion had yet to exist as a clear telos to which the reforms aspired. Atsuko Ueda draws on, while critically intervening in, the vast scholarship of language reform that engaged with numerous works of postcolonial and cultural studies. She examines the first two decades of the Meiji period, with specific focus on the issue of race, contending that no analysis of imperialism or nationalism is possible without it

Headedness and/or grammatical anarchy?

Synopsis: In most grammatical models, hierarchical structuring and dependencies are considered as central features of grammatical structures, an idea which is usually captured by the notion of “head” or “headedness”. While in most models, this notion is more or less taken for granted, there is still much disagreement as to the precise properties of grammatical heads and the theoretical implications that arise of these properties. Moreover, there are quite a few linguistic structures that pose considerable challenges to the notion of “headedness”. Linking to the seminal discussions led in Zwicky (1985) and Corbett, Fraser, & Mc-Glashan (1993), this volume intends to look more closely upon phenomena that are considered problematic for an analysis in terms of grammatical heads. The aim of this book is to approach the concept of “headedness” from its margins. Thus, central questions of the volume relate to the nature of heads and the distinction between headed and non-headed structures, to the process of gaining and losing head status, and to the thought-provoking question as to whether grammar theory could do without heads at all. The contributions in this volume provide new empirical findings bearing on phenomena that challenge the conception of grammatical heads and/or discuss the notion of head/headedness and its consequences for grammatical theory in a more abstract way. The collected papers view the topic from diverse theoretical perspectives (among others HPSG, Generative Syntax, Optimality Theory) and different empirical angles, covering typological and corpus-linguistic accounts, with a focus on data from German

Chapter 2: The Original ToBI System and the Evolution of the ToBI Framework

In this chapter, the authors will try to identify the essential properties of a ToBI framework annotation system by describing the development and design of the original ToBI conventions. In this description, the authors will overview the general phonological theory and the specific theory of Mainstream American English intonation and prosody that the authors decided to incorporate in the original ToBI tags. The authors will also state the practical principles that led us to make the decisions that the authors did. The chapter is organised as follows. Section 2.2 briefly chronicles how the MAE_ToBI system came into being. Section 2.3 briefly describes the consensus account of English intonation and prosody on which the MAE_ToBI system is based. Section 2.4 catalogues the different components of a MAE_ToBI transcription and lists the salient rules which constrain the relationships between different components. This section also expands upon the theoretical foundations and practical consequences of adopting the general structure of multiple labelling tiers, and particularly the separation of the labels for tones from the labels for indexing prosodic boundary strength. Section 2.5 then describes some of the extensions of the basic ToBI tiers that have been adopted by some sites. This section also compares our decisions about the number of tiers and about inter-tier constraints with the analogous decisions for some of the other ToBI systems described in this book. Section 2.6 discusses the status of the symbolic labels relative to the continuous phonetic records that are also an obligatory component of the MAE_ToBI transcription. Section 2.7 then closes by listing several open research questions that the authors would like to see addressed by MAE_ToBI users and the larger ToBI community