Computational Musicology
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Computational musicology is an interdisciplinary research area between
musicology Musicology (from Greek μουσική ''mousikē'' 'music' and -λογια ''-logia'', 'domain of study') is the scholarly analysis and research-based study of music. Musicology departments traditionally belong to the humanities, although some mu ...
and
computer science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical discipli ...
. Computational musicology includes any disciplines that use
computers A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations (computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These programs ...
in order to study music. It includes sub-disciplines such as mathematical music theory,
computer music Computer music is the application of computing technology in music composition, to help human composers create new music or to have computers independently create music, such as with algorithmic composition programs. It includes the theory and ...
, systematic musicology,
music information retrieval Music information retrieval (MIR) is the interdisciplinary science of retrieving information from music. MIR is a small but growing field of research with many real-world applications. Those involved in MIR may have a background in academic musicol ...
, computational musicology, digital musicology, sound and music computing, and music informatics. As this area of research is defined by the tools that it uses and its subject matter, research in computational musicology intersects with both the
humanities Humanities are academic disciplines that study aspects of human society and culture. In the Renaissance, the term contrasted with divinity and referred to what is now called classics, the main area of secular study in universities at the t ...
and the
science Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earliest archeological evidence for ...
s. The use of computers in order to study and analyze music generally began in the 1960s, although musicians have been using computers to assist them in the composition of music beginning in the 1950s. Today, computational musicology encompasses a wide range of research topics dealing with the multiple ways music can be represented.


History

This history of computational musicology generally began in the middle of the 20th century. Generally, the field is considered to be an extension of a much longer history of intellectual inquiry in music that overlaps with science, mathematics, technology, and archiving.


1960s

Early approaches to computational musicology began in the early 1960s and were being fully developed by 1966. At this point in time data entry was done primarily with paper tape or punch cards and was computationally limited. Due to the high cost of this research, in order to be funded projects often tended to ask global questions and look for global solutions. One of the earliest symbolic representation schemes was the Digital Alternate Representations of Music or DARMS. The project was supported by
Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...
and the
Ford Foundation The Ford Foundation is an American private foundation with the stated goal of advancing human welfare. Created in 1936 by Edsel Ford and his father Henry Ford, it was originally funded by a US$25,000 gift from Edsel Ford. By 1947, after the death ...
between 1964 and 1976. The project was one of the initial large scale projects to develop an encoding scheme that incorporated completeness, objectivity, and encoder-directedness. Other work at this time at
Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
chiefly driven by Arthur Mendel, and implemented by Michael Kassler and Eric Regener helped push forward the Intermediary Musical Language (IML) and Music Information Retrieval (MIR) languages that later fell out of popularity in the late 1970s. The 1960s also marked a time of documenting bibliographic initiatives such as the Repertoire International de Literature Musicale (RILM) created by Barry Brook in 1967.


1970s

Unlike the global research interests of the 1960s, goals in computational musicology in the 1970s were driven by accomplishing certain tasks. This task driven motivation lead to the development of MUSTRAN for music analysis by lead by Jerome Wenker and Dorothy Gross at
Indiana University Indiana University (IU) is a system of public universities in the U.S. state of Indiana. Campuses Indiana University has two core campuses, five regional campuses, and two regional centers under the administration of IUPUI. *Indiana Universi ...
. Similar projects like SCORE (SCORE-MS) at
Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
was developed primarily for printing purposes.


1980s

The 1980s were the first decade to move away from centralized computing and move towards that of personalized computing. This transference of resources led to growth in the field as a whole. John Walter Hill began developing a commercial program called ''Savy PC'' that was meant to help musicologists analyze lyrical content in music. Findings from Hill's music were able to find patterns in the conversions of sacred and secular texts where only first lines of texts were changed. In keeping with the global questions that dominated the 1960s, Helmuth Schaffrath began his Essen Folk Collection encoded in Essen Associative Code (ESAC) which has since been converted to humdrum notation. Using software developed at the time, Sandra Pinegar examined 13th century music theory manuscripts in her doctoral work at Columbia University in order to gain evidence on the dating and authoring of texts. The 1980s also introduced
MIDI MIDI (; Musical Instrument Digital Interface) is a technical standard that describes a communications protocol, digital interface, and electrical connectors that connect a wide variety of electronic musical instruments, computers, and re ...
notation.


Methods

Computational musicology can be generally divided into the three main branches relating to the three ways music can represented by a computer: sheet music data, symbolic data, and audio data. Sheet music data refers to the human-readable, graphical representation of music via symbols. Examples of this branch of research would include digitizing scores ranging from 15th Century
neume A neume (; sometimes spelled neum) is the basic element of Western and Eastern systems of musical notation prior to the invention of five-line staff notation. The earliest neumes were inflective marks that indicated the general shape but not nec ...
nal notation to contemporary Western
music notation Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect ...
. Like sheet music data, symbolic data refers to musical notation in a digital format, but symbolic data is not human readable and is encoded in order to be parsed by a computer. Examples of this type of encoding include piano roll, kern, and
MIDI MIDI (; Musical Instrument Digital Interface) is a technical standard that describes a communications protocol, digital interface, and electrical connectors that connect a wide variety of electronic musical instruments, computers, and re ...
representations. Lastly, audio data refers to recording of the representations of the acoustic wave or sound that results from changes in the oscillations of air pressure. Examples of this type of encoding include
MP3 MP3 (formally MPEG-1 Audio Layer III or MPEG-2 Audio Layer III) is a coding format for digital audio developed largely by the Fraunhofer Society in Germany, with support from other digital scientists in the United States and elsewhere. Origin ...
or
WAV Waveform Audio File Format (WAVE, or WAV due to its filename extension; pronounced "wave") is an audio file format standard, developed by IBM and Microsoft, for storing an audio bitstream on PCs. It is the main format used on Microsoft Wind ...
files.


Sheet Music Data

Sheet music Sheet music is a handwritten or printed form of musical notation that uses List of musical symbols, musical symbols to indicate the pitches, rhythms, or chord (music), chords of a song or instrumental Musical composition, musical piece. Like ...
is meant to be read by the musician or performer. Generally, the term refers to the standardized nomenclature used by a culture to document their musical notation. In addition to music literacy, musical notation also demands choices from the performer. For example, the notation of Hindustani
ragas A ''raga'' or ''raag'' (; also ''raaga'' or ''ragam''; ) is a melodic framework for improvisation in Indian classical music akin to a melodic mode. The ''rāga'' is a unique and central feature of the classical Indian music tradition, and as a ...
will begin with an
alap The Alap (; ) is the opening section of a typical North Indian classical performance. It is a form of melodic improvisation that introduces and develops a raga. In dhrupad singing the alap is unmetered, improvised (within the raga) and unaccompani ...
that does not demand a strict adherence to a
beat Beat, beats or beating may refer to: Common uses * Patrol, or beat, a group of personnel assigned to monitor a specific area ** Beat (police), the territory that a police officer patrols ** Gay beat, an area frequented by gay men * Battery (c ...
or
pulse In medicine, a pulse represents the tactile arterial palpation of the cardiac cycle (heartbeat) by trained fingertips. The pulse may be palpated in any place that allows an artery to be compressed near the surface of the body, such as at the n ...
, but is left up to the discretion of the performer. The sheet music notation captures the sequence of gestures the performer is encouraged to make within a musical culture, but is by no means fixed to those performance choices.


Symbolic Data

Symbolic data refers to musical encoding that is able to be parsed by a computer. Unlike sheet music data, Any type of digital data format may be regarded as symbolic due to the fact that the system that is representing it is generated from a finite series of symbols. Symbolic data typically does not have any sort of performative choices required on the part of the performer. Two of the most common software choices for analyzing symbolic data are
David Huron David Huron (born June 1, 1954) is a Canadian Arts and Humanities Distinguished Professor at the Ohio State University, in both the School of Music and the Center for Cognitive and Brain Sciences. His teaching and publications focus on the psycholo ...
's Humdrum Toolkit and Michael Scott Cuthbert and Christopher Azaria's music21.


Audio Data

Audio data is generally conceptualized as existing on a continuum of features ranging from lower to higher level audio features. Low-level audio features refer to
loudness In acoustics, loudness is the subjectivity, subjective perception of sound pressure. More formally, it is defined as, "That attribute of auditory sensation in terms of which sounds can be ordered on a scale extending from quiet to loud". The rel ...
,
spectral flux Spectral flux is a measure of how quickly the power spectrum of a signal is changing, calculated by comparing the power spectrum for one frame against the power spectrum from the previous frame. More precisely, it is usually calculated as the L ...
, and
cepstrum In Fourier analysis, the cepstrum (; plural ''cepstra'', adjective ''cepstral'') is the result of computing the inverse Fourier transform (IFT) of the logarithm of the estimated signal spectrum. The method is a tool for investigating periodic st ...
. Mid-level audio features refer to pitch, onsets, and beats. Examples of high-level audio features include
style Style is a manner of doing or presenting things and may refer to: * Architectural style, the features that make a building or structure historically identifiable * Design, the process of creating something * Fashion, a prevailing mode of clothing ...
,
artist An artist is a person engaged in an activity related to creating art, practicing the arts, or demonstrating an art. The common usage in both everyday speech and academic discourse refers to a practitioner in the visual arts only. However, th ...
, mood, and
key Key or The Key may refer to: Common meanings * Key (cryptography), a piece of information that controls the operation of a cryptography algorithm * Key (lock), device used to control access to places or facilities restricted by a lock * Key (map ...
.


Applications


Music databases

One of the earliest applications in computational musicology was the creation and use of musical
databases In computing, a database is an organized collection of data stored and accessed electronically. Small databases can be stored on a file system, while large databases are hosted on computer clusters or cloud storage. The design of databases spa ...
. Input, usage and analysis of large amounts of data can be very troublesome using manual methods while usage of computers can make such tasks considerably easier.


Analysis of music

Different computer programs have been developed to analyze musical data. Data formats vary from standard notation to raw audio. Analysis of formats that are based on storing all properties of each note, for example
MIDI MIDI (; Musical Instrument Digital Interface) is a technical standard that describes a communications protocol, digital interface, and electrical connectors that connect a wide variety of electronic musical instruments, computers, and re ...
, were used originally and are still among the most common methods. Significant advances in analysis of raw audio data have been made only recently.


Artificial production of music

Different algorithms can be used to both create complete compositions and improvise music. One of the methods by which a program can learn
improvisation Improvisation is the activity of making or doing something not planned beforehand, using whatever can be found. Improvisation in the performing arts is a very spontaneous performance without specific or scripted preparation. The skills of impr ...
is analysis of choices a human player makes while improvising. Artificial neural networks are used extensively in such applications.


Historical change and music

One developing sociomusicological theory in computational musicology is the "Discursive Hypothesis" proposed by Kristoffer Jensen and
David G. Hebert David G. Hebert (; born 1972) is a musicologist and comparative educationist, employed as Professor of Music at Western Norway University of Applied Sciences (Bergen, Norway), where he leads the Grieg Academy Music Education (GAME) research gro ...
, which suggests that "because both music and language are cultural discourses (which may reflect social reality in similarly limited ways), a relationship may be identifiable between the trajectories of significant features of musical sound and linguistic discourse regarding social data." According to this perspective, analyses of "
big data Though used sometimes loosely partly because of a lack of formal definition, the interpretation that seems to best describe Big data is the one associated with large body of information that we could not comprehend when used only in smaller am ...
" may improve our understandings of how particular features of music and society are interrelated and change similarly across time, as significant correlations are increasingly identified within the musico-linguistic spectrum of human auditory communication.


Non-western music

Strategies from computational musicology are recently being applied for analysis of music in various parts of the world. For example, professors affiliated with the Birla Institute of Technology in India have produced studies of harmonic and melodic tendencies (in the
raga A ''raga'' or ''raag'' (; also ''raaga'' or ''ragam''; ) is a melodic framework for improvisation in Indian classical music akin to a musical mode, melodic mode. The ''rāga'' is a unique and central feature of the classical Indian music tradit ...
structure) of
Hindustani classical music Hindustani classical music is the classical music of northern regions of the Indian subcontinent. It may also be called North Indian classical music or, in Hindustani, ''shastriya sangeet'' (). It is played in instruments like the violin, sita ...
.


Research

RISM'sbr>(Répertoire International des Sources Musicales)
database is one of the world's largest music databases, containing over 700,000 references to musical manuscripts. Anyone can use its search engine to find compositions. The Centre for History and Analysis of Recorded Music (CHARM) has developed the Mazurka Project, which offers "downloadable recordings . . . analytical software and training materials, and a variety of resources relating to the history of recording."


Computational musicology in popular culture

Research from computational musicology occasionally is the focus of popular culture and major news outlets. Examples of this include reporting in
The New Yorker ''The New Yorker'' is an American weekly magazine featuring journalism, commentary, criticism, essays, fiction, satire, cartoons, and poetry. Founded as a weekly in 1925, the magazine is published 47 times annually, with five of these issues ...
musicologists Musicology (from Greek μουσική ''mousikē'' 'music' and -λογια ''-logia'', 'domain of study') is the scholarly analysis and research-based study of music. Musicology departments traditionally belong to the humanities, although some mu ...
Nicholas Cook and Craig Sapp while working on the Centre for the History and Analysis of Recorded Music (CHARM), at the
University of London The University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degree ...
discovered the fraudulent recording of pianist
Joyce Hatto Joyce Hilda Hatto (5 September 1928 – 29 June 2006) was an English concert pianist and piano teacher. In 1956 she married William Barrington-Coupe, a record producer who was convicted of Purchase Tax evasion in 1966. Hatto became famous ver ...
. On the 334th birthday of Johann Sebastian Bach, Google celebrated the occasion with a Google Doodle that allowed individuals to enter their own score into the interface, then have a
machine learning Machine learning (ML) is a field of inquiry devoted to understanding and building methods that 'learn', that is, methods that leverage data to improve performance on some set of tasks. It is seen as a part of artificial intelligence. Machine ...
model called Coconet harmonize the melody.


See also

*
Algorithmic composition Algorithmic composition is the technique of using algorithms to create music. Algorithms (or, at the very least, formal sets of rules) have been used to compose music for centuries; the procedures used to plot voice-leading in Western counterpo ...
* Computer models of musical creativity *
Music cognition Music psychology, or the psychology of music, may be regarded as a branch of both psychology and musicology. It aims to explain and understand musical behaviour and experience, including the processes through which music is perceived, created, res ...
*
Cognitive musicology Cognitive musicology is a branch of cognitive science concerned with computationally modeling musical knowledge with the goal of understanding both music and cognition. Cognitive musicology can be differentiated from other branches of music psy ...
*
Musicology Musicology (from Greek μουσική ''mousikē'' 'music' and -λογια ''-logia'', 'domain of study') is the scholarly analysis and research-based study of music. Musicology departments traditionally belong to the humanities, although some mu ...
*
Artificial neural network Artificial neural networks (ANNs), usually simply called neural networks (NNs) or neural nets, are computing systems inspired by the biological neural networks that constitute animal brains. An ANN is based on a collection of connected unit ...
*
MIDI MIDI (; Musical Instrument Digital Interface) is a technical standard that describes a communications protocol, digital interface, and electrical connectors that connect a wide variety of electronic musical instruments, computers, and re ...
* JFugue


References


External links


Computational Musicology: A Survey on Methodologies and Applications

Towards the compleat musicologist?

Transforming Musicology: An AHRC Digital Transformations project
{{Music topics Musicology Computational fields of study