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When analysing the regularities and structure of music as well as the processing of music in the brain, certain findings lead to the question of whether music is based on a syntax that could be compared with linguistic syntax. To get closer to this question it is necessary to have a look at the basic aspects of syntax in language, as language unquestionably presents a complex syntactical system. If music has a matchable syntax, noteworthy equivalents to basic aspects of linguistic syntax have to be found in musical structure. By implication the processing of music in comparison to language could also give information about the structure of music.
Syntax in general can be referred to as a study of the principles and rules needed for the construction of a language or as a term in particular describing these principles and rules for a special language.
Linguistic syntax is especially marked by its structural richness, which becomes apparent in its multi layered organization as well as in the strong relationship between syntax and meaning. That is that there are special linguistic syntactic principles that define how the language is formed out of different subunits, such as words out of morphemes, phrases out of words and sentences out of phrases. Furthermore, linguistic syntax is featured by the fact that a word can take on abstract grammatical functions that are less defined through properties of the word itself and more through the context and structural relations. This is for example that every noun can be used as a subject, object or indirect object, but without a sentence as the normal context of a word, no statement about its grammatical function can be made. At last, linguistic syntax is marked by abstractness. This means that only conventional structural relations and not psychoacoustic relationships are the basis for the linguistic syntax.
Concerning musical syntax these three aspects of richness in linguistic syntax as well as the abstractness should be found in music too, if one wants to claim that music has a comparable syntax. An annotation that has to be made concerns the fact that most of the studies dealing with musical syntax are confined to the consideration of Western European tonal music. Thus this article can also only focus on Western tonal music.
Considering the multilayered organization of music, three levels of pitch organization can be found in music.
The lowest level are musical scales, which consist of seven tones or "scale degrees" per octave and have an asymmetric pattern of intervals between them (for example the C-major scale). They are built up out of the 12 possible pitch classes per octave (A, A♯,B, C, C♯, D, D♯, E, F, F♯, G, G♯) and the different scale tones are not equal in their structural stability. Empirical evidence indicates that there is a hierarchy concerning the stability of the single tones. The most stable one is called the "tonic" and embodies the tonal centre of the scale. The most unstable tones were the ones closest to the tonic (scale degrees 2 and 7), which are called the "supertonic" and the "leading tone". In studies scale degrees 1, 3 and 5 have been judged as closely related. It was also shown that an implicit knowledge of scale structure has to be learned and developed in childhood and is not inborn.
The next superordinate level of pitch organization is the chord structure, which means that three scale tones with a distance of two scale steps each are played simultaneously and are therefore combined into chords. When building up chords on the basis of a musical scale there are three different kinds of chords resulting, namely "major"(e.g. C-E-G), "minor" (e.g. D-F-A) and "diminished" (e.g. B-D-F) triads. This is due to the asymmetric intervals between the scale tones. These asymmetric intervals effect, that a distance of two scale steps can comprise either three or four semitones and therefore be an interval of a minor (with three semitones) or a major (with four semitones) third. A major triad consists of a major third followed by a minor third and is built on scale degrees 1, 3 and 5 (or 4, 6 and 1, for the subdominant, and 5, 7 and 2, for the dominant, the other two major triads that can be formed from the major scale). A minor triad consists of a minor third followed by a major third and is built on scale degrees 2, 4 and 6 (or 3, 5 and 7, for the mediant, and 6, 1 and 4, for the submediant). Only on scale degree 7 the triad consists of two minor thirds and is therefore defined as a diminished triad. Chordal syntax touches mainly four basic aspects. The first is, that the lowest note in each triad functions as a fundament of the chord and therefore as the structural most important pitch. The chord is named after this note as well as the chord's harmonic label is grounded on it. The second aspect is, that chord syntax provides norms for altering chords by additional tones. One example is the addition of a fourth tone to a triad, which is the seventh tone of the scale (e.g. in a C-major scale the addition of F to the triad G-B-D would lead to a so-called "dominant seventh chord"). Concerning norms for the progression of chords in time the third aspect focuses on the relationship between chords. The patterning of chords in a cadence for example indicates a movement from a V chord to a I chord. The fact that the I chord is perceived as a resting point in a musical phrase implicates, that the single chords built up on notes of a scale are not equal in there stability but show the same differences in stability as the notes of the scale do. This describes the fourth basic aspect of chordal syntax. The tonic chord (the one built on the tonic, C-E-G in C-major, for example) is the most stable and central chord, followed by the dominant chord (built on the 5th scale degree) and the subdominant chord (built on the 4th scale degree). "
The highest level of pitch organization can be seen in key structure. In Western European tonal music the key is based on a scale with its associated chords and chord relations. Scales can be built up as minor or major scales (differing in the succession of intervals between the scale tones) on each of the 12 pitch classes and therefore there are 24 possible keys in tonal music. Analysing key structure in context of musical syntax means to examine the relationship between keys in a piece of music. Usually, not only one key is used to build up a composition, but also so-called key "modulations" (in other words the alteration of keys) are utilized. In these modulations a certain recurring pattern can be perceived. Switches from one key to another are often found between related keys. Three general principles for relationship between keys can be postulated on the basis of perceptual experiments and also neural evidence for implicit knowledge of key structure. Looking at the C-major key as an example, there are three close related keys: G-major, A-minor and C-minor. C-major and G-major are keys whose 1st scale degrees are separated by a musical fifth (the pattern of relations is represented in the circle of fifths" for major keys). A-minor and C-major share the same notes of the scale but with a different tonic (so-called relative minor key, i.e. C-major and A-minor). And C-major and C-minor have the same tonic in their scales. All in all it can be said that music like the human language has a considerable multi layered organization.
Considering the last two basic aspects of linguistic syntax, namely the considerable significance of the order of subunits for the meaning of a sentence as well as the fact that words undertake abstract grammatical functions defined through context and structural relations, it seems to be useful to analyse the hierarchical structure of music to find correlations in music.
One aspect of hierarchical structure of music is the ornamentation. The meaning of the word "ornamentation" points to the fact that there are events in a musical context that are less important to form an idea of the general gist of a sequence than others. The decision on the importance of events not only comprises harmonic considerations, but also rhythmic and motivic information. But a classification of events simply into ornamental and structural events would be too superficial. In fact the most common hypothesis implies, that music is organized into structural levels, which can be pictured as branches of a tree. A pitch that is structural at a higher level may be ornamental at a deeper level. This can be compared with the hierarchical syntactic structure of a sentence in which there are structural elements that are necessary to build up a sentence like the noun phrase and the verb phrase but looking at a deeper level the structural elements also contain additional or ornamental constituents.
Searching for other aspects of hierarchical structure of music there is a controversial discussion, if the organization of tension and resolution in music can be described as hierarchical structure or only as a purely sequential structure. According to Patel [1] research in this area has produced apparently contradictory evidence, and more research is needed to answer this question. The question concerning the kind of structure that features tension and resolution in music is linked very close to the relationship between order and meaning in music. Considering tension and resolution as one possible kind of meaning in music a hierarchical structure would imply that a change of order of musical elements would have an influence on the meaning of the music.
The last aspect to examine is the abstractness of linguistic syntax and its correlate in music. There are two contradicting points of views. The first one claims that the foundation for musical scales and for the existence of a tonal centre in music can be seen in the physical basis of overtone series or in the psychoacoustic properties of chord in tonal music respectively. But in recent time there is strong evidence for the second point of view that syntax reflects abstract cognitive relationships.
All in all the consideration of syntax in music and language shows, that music has a syntax comparable to the linguistic syntax especially concerning a great complexity and a hierarchical organization. Nevertheless, it has to be emphasized, that musical syntax is not a simple variant of linguistic syntax, but a similar complex system with its own substance. That means that it would be the wrong way just to search for musical analogies of linguistic syntactic entities such as nouns or verbs.
Investigating the neuronal processing of musical syntax can serve two proposed aspects. [2] The first is to learn more about the processing of music in general. That is, which areas of the brain are involved and if there are specific markers of brain activity due to the processing of music and musical syntax. The second aspect is to compare the processing of musical and linguistic syntax to find out, if they have an effect upon each other or if there even is a significant overlap. The verification of an overlap would support the thesis, that syntactic operations (musical as well as linguistic) are modular. "Modular" means, that the complex system of processing is decomposed into subsystems with modular functions. Concerning the processing of syntax this would mean, that the domain of music and language each have specific syntactic representations, but that they share neural resources for activating and integrating these representations during syntactic processing.
Processing of music and musical syntax comprises several aspects concerning melodic, rhythmic, metric, timbral and harmonic structure. For the processing of chord functions four steps in processing can be described. (1)Primarily, a tonal centre has to be detected out of the first chords of a sequence. Often the first chord is interpreted as the tonal centre of a sequence and a reevaluation is necessary, if the first chord has another harmonic function. (2)Successive chords are related to this tonal centre concerning their harmonic distance from the tonal centre. (3)As described above (Does music have a syntax?), music has a hierarchical structure in terms of pitch organization and organization of tensioning and releasing in music. Pitch organization concerning chords means, that in a musical phrase the tonic is the most stable chord and experienced as the resting point. The dominant and subdominant anon are more stable than the submediant and the supertonic. The progression of chords in time forms a tonal structure based on pitch organization, in which moving away from the tonic is perceived as tensioning and moving towards the tonic is experienced as releasing. Therefore, hierarchical relations may convey organized patterns of meaning. (4)Concerning harmonic aspects of major-minor tonal music, Musical syntax can be characterized by statistical regularities in the succession of chord functions in time, that is probabilities of chord transitions. As these regularities are stored in a long-term memory, predictions about following chords are made automatically, when listening to a musical phrase.
The violation of these automatically made predictions lead to the observation of so-called ERPs (event related potential, a stereotyped electrophysiological response to an internal or external stimulus). Two forms of ERPs can be detected in the context of processing music. One is the MMN (mismatch negativity), which has first been investigated only with physical deviants like frequency, sound intensity, timbre deviants (referred to as phMMN) and could now also be shown for changes of abstract auditory features like tone pitches (referred to as afMMN). The other one is the so-called ERAN (early right anterior negativity), which can be elicited by syntactic irregularities in music. Both the ERAN and the MMN are ERPs indicating a mismatch between predictions based on regularities and actually experienced acoustic information. As for a long time it seemed to be, that the ERAN is a special variant of the MMN, the question arises, why they are told apart today. There are several differences between the MMN and the ERAN found in the last years:
Even though music syntactic regularities are often simultaneously acoustical similar and music syntactic irregularities are often simultaneously acoustical different, an ERAN but not an MMN can be elicit, when a chord does not represent a physical but a syntactic deviance. To demonstrate this, so-called "Neapolitan sixth chords" are used. These are consonant chords when played solitary, but which are added into a musical phrase of in which they are only distantly related to the harmonic context. Added into a chord sequence of five chords, the addition of a Neapolitan sixth chord at the third or at the fifth position evokes different amplitudes of ERANs in the EEG with a higher amplitude at the fifth position. Nevertheless, when creating a chord sequence in which the Neapolitan chord at the fifth position is music-syntactically less irregular than a Neapolitan chord at the third position, the amplitude is higher at the third position (see figure 4...). In opposition to the MMN, a clear ERAN is also elicited by using syntactically irregular chords, which are acoustically more similar to a proceeding harmonic context than syntactically regular chords. Therefore, the MMN seems to be based on an on-line establishment of regularities. That means, that the regularities are extracted on-line from the acoustic environment. In opposition, the ERAN rests upon representations of music-syntactic regularities which exist in a long-term memory format and which are learned during early childhood.
This is represented in the development of the ERAN and MMN. The ERAN cannot be verified in newborn babies, whereas the MMN can actually be demonstrated in fetus. In two-year-old children, the ERAN is very small, in five-year-old children a clear ERAN is found, but with a longer latency than in adults. With the age of 11 years children show an ERAN similar to ERANs in adults. Out of these observation the thesis can be built that the MMN is essential for the establishment and maintenance of representations of the acoustic environment and for processes of the auditory scene analysis. But only the ERAN is completely based on learning to build up a structural model, which is established with reference to representations of syntactic regularities already existing in a long-term memory format. Considering effects of training both the ERAN and the MMN can be modulated by training.
Differences between the ERAN and the MMN also exist in the neural sources for the main contributions to the ERPs. The sources for the ERAN are located in the pars opercularis of the inferior fronto-lateral cortex (inferior Brodmann's area with contributions from the ventrolateral premotor cortex and the anterior superior temporal gyrus, whereas the MMN receives its main contributions from and within the vicinity of the primary auditory cortex with additional sources in the frontal cortical areas. Therefore, the sources for the ERAN basically lie in the frontal cortex whereas the sources for the MMN are located in the temporal lobe. Other hints for this thesis emerge from the fact that under a propofol sedation which mainly affects the frontal cortex, the ERAN is abolished while the MMN is only reduced. At last, the amplitude of the ERAN is reduced under ignore conditions whereas the MMN is largely unaffected by attentional modulations.
(1)First, a separation of sound sources, an extraction of sound features and the establishment of representations of auditory objects of the incoming acoustic input have to be made. The same processes are required for the MMN and ERAN.
(2)For the MMN regularities are filtered on-line out of the input to create a model of the acoustic environment. At this point, there is a difference to the ERAN as for the ERAN representations of regularities already exist in a long-term memory format and the incoming sound is integrated into a pre existent model of musical structure.
(3)According to the model of musical structure, predictions concerning forthcoming auditory events are formed. This process is similar for the ERAN and for the MMN.
(4)At least a comparison between the actually incoming sound and the predictions based on the model is made. This process is partly the same for the MMN and the ERAN as well.
As the ERAN is similar to an ERP called ELAN which can be elicited by violation of linguistic syntax it seems to be obvious that the ERAN really represents syntactic processing. Deduced from this thought an interaction between music-syntactic and language-syntactic processing would be very likely.There are different possibilities in neuroscience to approach to an answer to the question of an overlap between the neuronal processing of linguistic and musical syntax.
This method deals with the question, how structure and function of the brain relate to outcomes in behaviour and other psychological processes. From this area of research there has been evidence for the dissociation between musical and linguistic syntactic abilities. In case reports it was possible to show that amusia ( a deficiency in fine-grainded perception of pitch which leads to musical tone-deafness and can be congenital or acquired later in life as from brain damage) is not necessarily linked to aphasia (severe language impairments following brain damage) and vice versa. This means that individuals with normal speech and language abilities showed musical tone-deafness as well as individuals with language impairments had sufficient means of musical syntactic abilities. The problem of neuropsychologic research is that there has not been a former case report which showed that aphasia does not necessarily entail amusia in non-musicians, to the contrary newer findings suggest that amusia is almost always linked to aphasia.
Furthermore, results from neuroimaging led to the "shared syntactic integration resource hypothesis" (SSIRH), which supports the presumption, that there is an overlap between the processing of musical and linguistic syntax and that syntactic operations are modular. Furthermore, research using the method of electroencephalography has shown that a difficulty or irritation in musical as well as in linguistic syntax elicit ERPs which are similar to each other.
How can the discrepancy between neuropsychology and neuroimaging be explained?
In fact, the concept of modularity itself can help to understand the different and apparently contradicting findings in neuropsychologic research and neuroimaging. Introducing the concept of a dual system, in which there is a distinction between syntactic representation and syntactic processing, this could mean, that there is a distinction between long-term structural knowledge in a domain (representation) and operations conducted on that knowledge (syntactic processing). A damage in an area representing long-term musical knowledge would lead to amusia without aphasia, but a damage in an area representing syntactic processing would cause an impairment of both musical and linguistic syntactic processing.
The comparison of the syntactic processing of language and music is based on three theories which should be mentioned but which are not explained in detail. The first two, the "dependency locality theory" and the "expectancy theory" refer to syntactic processing in language, whereas the third one, the "tonal pitch space theory", relates to the syntactic processing in music.
The language theories contribute to the concept that in order to conceive the structure of a sentence, resources are consumed. If the conception of a this structure is difficult due to the fact that distant words belong to each other or an expected structure of the sentence is violated, more resources, namely the ones for activating low-activation items, are consumed.
Violating an anticipated structure in music could mean a harmonically unexpected note or chord in a musical sequence. As in language this is associated with a "processing cost due to the tonal distance" (Patel, 2008) and therefore means that more resources are needed for activating low-activation items.
Overall these theories lead to the "shared syntactic integration resources hypothesis" as the areas from which low-activation items are activated could be the correlate to the overlap between linguistic and musical syntax. Strong evidence for the existence of this overlap comes from studies, in which music-syntactic and a linguistic-syntactic irregularities were presented simultaneously. They showed an interaction between the ERAN and the LAN (left anterior negativity;ERP which is elicited by linguistic-syntactic irregularities). The LAN elicited was reduced when an irregular word was presented simultaneously with an irregular chord compared to the condition when an irregular word was presented with a regular chord. Contrary to this finding the phMMN elicited by frequency deviants did not interact with the LAN.
From this facts it can be reasoned that the ERAN relies on neural resources related to syntactic processing (Koelsch 2008). Furthermore, they give strong evidence for the thesis, that there is an overlap between the processing of musical and linguistic syntax and therefore that syntactic operations (musical as well as linguistic) are modular.
In music theory, the term minor scale refers to three scale patterns – the natural minor scale, the harmonic minor scale, and the melodic minor scale – rather than just one as with the major scale.
In music, harmony is the process by which the composition of individual sounds, or superpositions of sounds, is analysed by hearing. Usually, this means simultaneously occurring frequencies, pitches, or chords.
In music, the tonic is the first scale degree of the diatonic scale and the tonal center or final resolution tone that is commonly used in the final cadence in tonal classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as do. More generally, the tonic is the note upon which all other notes of a piece are hierarchically referenced. Scales are named after their tonics: for instance, the tonic of the C major scale is the note C.
In music theory, a leading-tone is a note or pitch which resolves or "leads" to a note one semitone higher or lower, being a lower and upper leading-tone, respectively. Typically, the leading tone refers to the seventh scale degree of a major scale, a major seventh above the tonic. In the movable do solfège system, the leading-tone is sung as ti.
In music theory, the key of a piece is the group of pitches, or scale, that forms the basis of a music composition in classical, Western art, and Western pop music.
In music, the subdominant is the fourth tonal degree of the diatonic scale. It is so called because it is the same distance below the tonic as the dominant is above the tonic – in other words, the tonic is the dominant of the subdominant. It also happens to be the note one step below the dominant. In the movable do solfège system, the subdominant note is sung as fa.
A chord, in music, is any harmonic set of pitches consisting of multiple notes that are heard as if sounding simultaneously. For many practical and theoretical purposes, arpeggios and broken chords, or sequences of chord tones, may also be considered as chords.
In music, modulation is the change from one tonality to another. This may or may not be accompanied by a change in key signature. Modulations articulate or create the structure or form of many pieces, as well as add interest. Treatment of a chord as the tonic for less than a phrase is considered tonicization.
Modulation is the essential part of the art. Without it there is little music, for a piece derives its true beauty not from the large number of fixed modes which it embraces but rather from the subtle fabric of its modulation.
A secondary chord is an analytical label for a specific harmonic device that is prevalent in the tonal idiom of Western music beginning in the common practice period: the use of diatonic functions for tonicization.
Tonality is the arrangement of pitches and/or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions and directionality. In this hierarchy, the single pitch or triadic chord with the greatest stability is called the tonic. The root of the tonic chord forms the name given to the key; so in the key of C major, the note C is both the tonic of the scale and the root of the tonic chord. Simple folk music songs often start and end with the tonic note. The most common use of the term "is to designate the arrangement of musical phenomena around a referential tonic in European music from about 1600 to about 1910". Contemporary classical music from 1910 to the 2000s may practice or avoid any sort of tonality—but harmony in almost all Western popular music remains tonal. Harmony in jazz includes many but not all tonal characteristics of the European common practice period, sometimes known as "classical music".
Function, in music, is the term used to denote the relationship of a chord or a scale degree to a tonal centre. Two main theories of tonal functions exist today:
Chromaticism is a compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale. Chromaticism is in contrast or addition to tonality or diatonicism and modality. Chromatic elements are considered, "elaborations of or substitutions for diatonic scale members".
Not only at the beginning of a composition but also in the midst of it, each scale-step [degree] manifests an irresistible urge to attain the value of the tonic for itself as that of the strongest scale-step. If the composer yields to this urge of the scale-step within the diatonic system of which this scale-step forms part, I call this process tonicalization and the phenomenon itself chromatic.
Chromaticism is almost by definition an alteration of, an interpolation in or deviation from this basic diatonic organization.
Throughout the nineteenth century, composers felt free to alter any or all chord members of a given tertian structure [chord built from thirds] according to their compositional needs and dictates. Pronounced or continuous chordal alteration [and 'extension'] resulted in chromaticism. Chromaticism, together with frequent modulations and an abundance of non-harmonicism [non-chord tones], initially effected an expansion of the tertian system; the overuse of the procedures late in the century forewarned the decline and near collapse [atonality] of the system [tonality].
Chromaticism is the name given to the use of tones outside the major or minor scales. Chromatic tones began to appear in music long before the common-practice period, and by the beginning of that period were an important part of its melodic and harmonic resources. Chromatic tones arise in music partly from inflection [alteration] of scale degrees in the major and minor modes, party from secondary dominant harmony, from a special vocabulary of altered chords, and from certain nonharmonic tones.... Notes outside the scale do not necessarily affect the tonality....tonality is established by the progression of roots and the tonal functions of the chords, even though the details of the music may contain all the tones of the chromatic scale.
Sometimes...a melody based on a regular diatonic scale is laced with many accidentals, and although all 12 tones of the chromatic scale may appear, the tonal characteristics of the diatonic scale are maintained. ... Chromaticism [is t]he introduction of some pitches of the chromatic scale into music that is basically diatonic in orientation, or music that is based on the chromatic scale instead of the diatonic scales.
A level, also "tonality level", Gerhard Kubik's "tonal step," "tonal block," and John Blacking's "root progression," is an important melodic and harmonic progression where melodic material shifts between a whole tone above and a whole tone below the tonal center. This shift can occur to both neighboring notes, in either direction, and from any point of departure. The steps above and below the tonic are often called contrasting steps. A new harmonic segment is created which then changes the tonality but not necessarily the key.
In Schenkerian analysis, the fundamental structure describes the structure of a tonal work as it occurs at the most remote level and in the most abstract form. A basic elaboration of the tonic triad, it consists of the fundamental line accompanied by the bass arpeggiation. Hence the fundamental structure, like the fundamental line itself, takes one of three forms, according to which tonic triad pitch is the primary tone. The example hereby shows a fundamental structure in C major, with the fundamental line descending from scale degree
The Urlinie offers the unfurling (Auswicklung) of a basic triad, it presents tonality on horizontal paths. The tonal system, too, flow into these as well, a system intended to bring purposeful order into the world of chords through its selection of the harmonic degrees. The mediator between the horizontal formulation of tonality presented by the Urlinie and the vertical formulation presented by the harmonic degrees is voice leading.
The upper voice of a fundamental structure, which is the fundamental line, utilizes the descending direction; the lower voice, which is the bass arpeggiation through the fifth, takes the ascending direction. [...] The combination of fundamental line and bass arpeggiation constitutes a unity. [...] Neither the fundamental line nor the bass arpeggiation can stand alone. Only when acting together, when unified in a contrapuntal structure, do they produce art.
In music, the dominant is the fifth scale degree of the diatonic scale. It is called the dominant because it is next in importance to the first scale degree, the tonic. In the movable do solfège system, the dominant note is sung as so(l).
Post-tonal music theory is the set of theories put forward to describe music written outside of, or 'after', the tonal system of the common practice period. It revolves around the idea of 'emancipating dissonance', that is, freeing the structure of music from the familiar harmonic patterns that are derived from natural overtones. As music becomes more complex, dissonance becomes indistinguishable from consonance.
Richard Parncutt is an Australian-born academic. He has been professor of systematic musicology at Karl-Franzens-Universität Graz in Austria since 1998. His research focuses on the psychology of music.
This is a glossary of Schenkerian analysis, a method of musical analysis of tonal music based on the theories of Heinrich Schenker (1868–1935). The method is discussed in the concerned article and no attempt is made here to summarize it. Similarly, the entries below whenever possible link to other articles where the concepts are described with more details, and the definitions are kept here to a minimum.
The Unanswered Question is a lecture series given by Leonard Bernstein in the fall of 1973. This series of six lectures was a component of Bernstein's duties as the Charles Eliot Norton Professor of Poetry for the 1972/73 academic year at Harvard University, and is therefore often referred to as the Norton Lectures. The lectures were both recorded on video and printed as a book, titled The Unanswered Question: Six Talks at Harvard.
Harmony is a perceptual property of music, and along with melody, one of the building blocks of Western music. Its perception is based on consonance, a concept whose definition has changed various times throughout Western music. In a psychological approach, consonance is a continuous variable. Consonant pitch relationships are described as sounding more pleasant, euphonious, and beautiful than dissonant relationships which sound unpleasant, discordant, or rough.
This article incorporates material from the Citizendium article "Musical syntax", which is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License but not under the GFDL.