Aristotle on Principles as Elements
In his discussion of the four causes, Aristotle claims that ‘the hypotheses are material causes of the conclusion’ (Physics 2.3, Metaphysics Δ 2). This claim has puzzled commentators since antiquity.…
Orthios as a Quality of Sound
An attempt to interpret the famous ancient musical composition known as ὄρθιος νόμος requires an analysis of all available evidence connecting ὄρθιος with sounds. The most extensive description of…
Making Sense of the Soul’s Numbers. Middle Platonist Readings of Plato’s Divisio Animae
Abstract The aim of this paper is to show that a new approach to Middle Platonist technical exegesis is both necessary and profitable, for it can shed light on the deep philosophical and…
An Investigation into the Extraction of Melodic and Harmonic Features from Digital Audio
An Investigation into the Extraction of Melodic and Harmonic Features from Digital Audio shows clear trends in the recovery of melodic andharmonic features from digital audio.
Aristotle on Attention
- PhilosophyArchiv für Geschichte der Philosophie
Abstract I argue that a study of the Nicomachean Ethics and of the Parva Naturalia shows that Aristotle had a notion of attention. This notion captures the common aspects of apparently different…
Shaping Character: An Ancient Science of Musical Ethos?
The idea that the effect of music on the human soul crucially affects matters of education and politics is first found in Plato, with reference to Damon of Athens (5th century BCE). On the basis of a…
Latitude , intension , and remission
Of things said without any combination, each signifies either substance or quantity or qualification or a relative or where or when or being-in-a-position or having or doing or being-affected. To…
The Euclidean algorithm and finite continued fractions
Fowler  Measure theory of continued fractions: Einsiedler and Ward [19, Chapter 3] and Iosifescu and Kraaikamp [35, Chapter 1]. In harmonic analysis and dynamical systems, we usually care about…
Algorithms, Microtonality, Performance: Eleven Musical Compositions
The author and the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.
A 09 Elementary functions 33 B 10 Exponential and trigonometric functions
The ancient Greeks established a connection between musical intervals, such as the octave, and ratios of lengths of vibrating strings. Shortly after the development of logarithms, mathematicians…