Physical Sciences and Mathematics Commons^™

Advanced Technologies In Music Production And Collaboration, David Besonen

Honors Theses

My Honors Senior Creative Project was to compose and produce a short album of original music alongside talented musicians here at the University of Nebraska-Lincoln (UNL) as well as around the world.

Score Following With Hidden Tempo Using A Switching State-Space Model, Yucong Jiang, Chris Raphael

Department of Math & Statistics Faculty Publications

A score-following program traces the notes in a musical score during a performance. This capability is essential to many meaningful applications that synchronize audio with a score in an on-line fashion. Existing algorithms often stumble on certain difficult cases, one of which is piano music. This paper presents a new method to tackle such cases. The method treats tempo as a variable rather than a constant (with constraints), allowing the program to adapt to live performance variations. This is first expressed by a Kalman filter model at the note level, and then by an almost equivalent switching state-space model at …

Nesynth Project, John Falco

Student Scholarship – Computer Science

This project was designed to create a program that can interface with user input through a keyboard to produce sounds through the use of the MIDI protocol. The goal functionality was to have the unit be able to interface with a Nintendo Entertainment System to produce synthetic sounds along with sampled sounds through the MIDI protocol. However, this goal was not able to be achieved due to technical limitations. Due to this, the sound of the A203 chip was emulated through use of sampled instruments using MIDI. The goal of this project initially was to also include a USB keyboard …

Musical Sound: A Mathematical Approach To Timbre, Timothy Weiss (Class Of 2016)

Writing Across the Curriculum

What is the mathematical reasoning behind the ear’s ability to distinguish two completely different musical sounds? In answering this question, one must call to mind a fundamental term with regards to music: timbre.

A Study Of Chemistry: For Wind Ensemble, Morgan Duff

Mahurin Honors College Capstone Experience/Thesis Projects

Many musicians have a limited understanding of chemistry, while many chemists aren't familiar with details of music theory or composition. Through the composition of a four-part musical work based entirely on several broad areas of chemistry, certain relationships have been shown between music and chemistry. Because of the overlap between certain scientific concepts and many aspects of music theory, it is possible for members of both fields to use what they already know in order to gain a deeper understanding of the other, very different, subject. Because everyone has learning strengths in differing areas, I believe the use of disciplinary …

Musical Behaviours: Algorithmic Composition Via Plug-Ins, Bruno Degazio

Publications and Scholarship

The author’s recent software research addresses a deficiency in commercial musical composition software: the limited ability to apply algorithmic processes to the practice of musical composition. The remedy takes the form of a software plug-in design called “musical behaviours” — compositional algorithms of limited scope that can be applied cumulatively and in real time to MIDI performance data. The software runs on the author’s software composition platform, The Transformation Engine.

A Particle System For Musical Composition, Bruno Degazio

Publications and Scholarship

This paper describes the development of a software particle system for musical composition. It employs a generator as described in William Reeves’ seminal 1983 paper on the subject, but one in which the particles are musical themes rather than images or points of light. This is distinct from an audio-level particle system such as might be employed effectively in conjunction with granular synthesis, because an audio-level process has no “musical intelligence” in the traditional sense as the term is used in discussing rhythm, melody, harmony or other traditional musical qualities. The particle system uses the author’s software, The Transformation Engine …

Software Tools For Electronic Wind Instrument Performance, Bruno Degazio

Publications and Scholarship

Even though alternate musical controllers such as the Electronic Wind Instrument (EWI) significantly extend the expressive range of MIDI synthesizers and software virtual instruments, the computer-based editing and manipulation of data produced by these controllers has remained in an undeveloped state. A primary problem has to do with the binding of note data to expressive information such as breath controller and pitch bend data. MIDI, originally designed as a real-time performance protocol, has very weak binding of such data into higher-level musical structures; so weak in fact that even note endings are unconnected to their beginnings. The author describes a …

The Sonic Representation Of Mathematical Data, Charlie Cullen

Doctoral

Conveying data and information using non-speech audio is an ever growing field of research. Existing work has been performed investigating sonfication and its applications, and this research seeks to build upon these ideas while also suggesting new areas of potential. In this research, initial work focused on the sonification of DNA and RNA nucleotide base sequences for analysis. A case study was undertaken into the potential of rhythmic parsing of such data sequences, with test results indicating that a more effective method of representing data in a sonification was required. Sonification of complex data such as DNA and RNA was …

The Transformation Engine, Bruno Degazio

Publications and Scholarship

The Transformation Engine is a software music composition system for the Macintosh computer, based on a hierarchical model of musical structure derived from the theories of Heinrich Schenker. It implements processes of musical transformation in real time, i.e. Schenkerian prolongations (“composing-out”) can be executed while the user listens to a high performance MIDI rendering of the music. The Transformation Engine also employs technical devices derived from the musical theories of Joseph Schillinger. The software has been used for algorithmic composition using planetary position data and chaotic processes as drivers for musical transformations. It also has applications to traditional forms of …

Algorithmic Composition In Contrasting Music Styles, Tristan Mcauley, Philip Hingston

Research outputs pre 2011

The aim of this research was to automate the composition of convincingly “real” music in specific musical genres. By “real” music we mean music which is not obviously “machine generated”, is recognizable as being of the selected genre, is perceived as aesthetically pleasing, and is usable in a commercial context. To achieve this goal, various computational techniques were used, including genetic algorithms and finite state automata. The process involves an original, top down approach and a bottom up approach based on previous studies. Student musicians have objectively assessed the resulting compositions.

Evolution Of Musical Organisms, Bruno Degazio

Publications and Scholarship

The development of software for musical applications has led to a proliferation of elaborate control paradigms with extremely large parameter spaces. These spaces can be daunting to explore interactively because of their vastness. Furthermore, parameters often interact in ways not made explicit by the control panel, effectively increasing the complexity of the space even further. Application of genetic algorithms (GAs) can be used to search through these vast spaces in a highly efficient manner. Coordinated control of interacting parameters is handled automatically by this system. Even for control paradigms that are well understood, the genetic algorithm can efficiently search out …

A Computer-Based Editor For Lerdahl And Jackendoff's Rhythmic Structures, Bruno Degazio

Publications and Scholarship

In “A Generative Theory of Tonal Music”, Lerdahl and Jackendoff discuss two forms of rhythmic structure which they call metrical structure and grouping structure. Together these constitute a basis for an analytical understanding of rhythmic structure in music. This article is about a software based editor which allows the interactive exploration of these two types of hierarchical rhythmic structures.

Towards A Chaotic Musical Instrument, Bruno Degazio

Publications and Scholarship

The goal of this project is to produce a software musical instrument using chaotic processes as a sound synthesis method. Real-time control through MIDI note messages and continuous controllers is required. Early results are described, along with suggestions for continuing work.

New Software Composition Tools, Bruno Degazio

Publications and Scholarship

This paper briefly discusses a number of software tools developed at the author's studio through the course of research work into algorithmic composition. Most of the tools developed are directly related to recursive techniques; some, however, arise from more general techniques of algorithmic composition first described by Joseph Schillinger.

Examples of recursive techniques include:
• META-FRACTALS - separating musical content from recursive structure
• the Lorenz attractor and Koch snowflake as musical generators
• Iterated Function Systems as musical generator
• dynamic values in the logistic equation and the Mandelbrot set.

Non-recursive tools include:
• the Intelligent Interval Tool - …

The Development Of Context Sensitivity In The Midiforth Computer Music System, Bruno Degazio

Publications and Scholarship

This paper reports on the development in the MIDIFORTH computer music system of context-sensitive editing features, such as the ability to highlight MIDI events based on their position within a melodic or rhythmic pattern, and on pitch or other relationships to surrounding events. The software mechanism that implements this is discussed, and some examples of the musical desirability of such features are presented.

The Schillinger System Of Musical Composition And Contemporary Computer Music, Bruno Degazio

Publications and Scholarship

The author will describe the results of a research project involving the investigation of Joseph Schillinger's theories of rhythm and tonality as they relate to contemporary areas of algorithmic composition such as fractal music. In particular, the author will describe his work in the following areas:

a) the use of Schillinger's fundamental technique of interference

b) the relationship of Schillinger's notion of geometrical projection to techniques of fractal musical composition.

c) the application of fractal processes to Schillinger's emotional and semantic(connotational) schemes (i.e., the psychological dial).