David Temperley’s research while affiliated with University of Rochester and other places

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Publications (50)


Figure 1. Themes from Barlow & Morgenstern (1948). Solid brackets show repeated pitch patterns; dashed brackets show repeated intervallic patterns; slurs show repeated rhythmic patterns. (A) Adolphe Adam, La Poupée de Nuremberg, overture, 1st theme; (B) Isaac Albéniz, Suite Española, "Cadiz," 1st theme; (C) Hugo Alfvén, Midsommarvarka, 1st theme; (D) Anton Arensky, Suite No. 1, I, 1st theme; (E) Kurt Atterberg, Symphony No. 6, I, 1st theme; (F) Daniel Auber, Le Cheval de Bronze, Overture, 1st theme; (G) Louis Aubert, Habañera, 1st theme; (H) Georges Auric, Les Matelots, 1st theme; (I) Johann Christian Bach, Concerto Op. 7 No. 1, I; (J) Johann Sebastian Bach, The Art of Fugue. *The last interval of the last measure differs from previous measures.
Figure 2. Melodies used in Deutsch (1980).
Figure 3. (A) Hugo Alfvén, "Midsommarvarka," 1st theme, showing notestring representation and metrical grid. (B) The same notestring representation aligned with itself at a distance of one measure, with the repetition representation shown below.
Figure 4. Haydn, String Quartet Op. 33 No. 5, I, mm. 1-7. A4); yet it seems clear that this note is part of the motive. Using the symbols proposed above, and assuming a distance of two measures, the second instance of the motive would be represented as "R I I I I I." In general, I propose that salient intervallic motives consist of an R followed by one or more I's or P's. In Figure 1, the two-note motives shown in Themes C, G, and I all fit this description. (In Theme A, the first note of the motive is a Z; in Theme B, it is an I.) The first note of a motive might happen to be an I or P rather than an R, but this is not usually important to the identity of the motive. This way of defining motives is attractive from a cognitive point of view, because it means that an instance of a motive can be identified without regard to its intervallic context; the interval to the first note of the motive is unimportant. By this view, the duration of the last note of a motive is unimportant to its identity as well, since a note's duration does not affect its symbol in the repetition representation. Thus, motives are self-contained patterns of interval and duration. There is evidence that composers thought of motives in this way as well: Following a non-parallel event (N or X), sequences of multiple I's are much less common than an R followed by I's. For example, at a distance of 1.0 in the B&M corpus, following an N or X, the pattern "R I I" is 2.7 times more frequent than "I I I". The current view also implies that a single I or P, with "non-parallel" symbols (N or X) on either side, does not really count as a "motive"; if the interval to the first note in an intervallic motive is not part of its definition, then a pattern that consists only of a single interval has nothing to define it. These considerations lead to the following definitions:
Figure 6. Stimuli from Dowling & Bartlett (1981). The figure is reproduced from Dowling & Harwood (1986).
Melodic Pattern Repetition and Efficient Encoding: A Corpus Study
  • Article
  • Full-text available

June 2024

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116 Reads

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1 Citation

Empirical Musicology Review

David Temperley

Melodies are full of repeated patterns of pitch, interval, and rhythm. It has been suggested that these repeated patterns aid the listener in creating an efficient encoding; this raises the possibility that compositional practice might have evolved to facilitate this process. I propose three specific hypotheses about compositional practice: 1) Repeated intervallic patterns tend to be metrically parallel, with each instance of the pattern falling at the same position in relation to the metrical structure; 2) Purely intervallic repetitions tend to be confined to short distances (longer-distance repetitions tend to involve repetition of scale-degrees as well); 3) Repeated intervallic patterns tend to involve multiple intervals rather than single ones. In each case, I explain how such a compositional strategy might facilitate efficient encoding. Corpus analyses of classical themes and European folk songs find support for all three hypotheses.

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Melodic Differences Between Styles: Modeling Music With Step Inertia

January 2024

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12 Reads

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1 Citation

Music & Science

A well-known phenomenon in melodic structure is "step inertia": the tendency for a step to be followed by another step in the same direction. There is strong evidence of step inertia in three corpora of Western common-practice melodies: European folk songs, classical instrumental themes, and English hymn tunes. Surprisingly, modern Western popular music does not reflect step inertia. In Billboard's Hot 100, and Rolling Stone magazine's list of "greatest songs," inertial (same-direction) steps are less likely than non-inertial ones. To further explore the role of step inertia in different corpora, we created a generative model that assigns probabilities to melodies, considering just four factors: range, pitch proximity, scale-degree frequency within a key, and step inertia. We optimized the weights of these factors for the Essen Folksong Collection and the Billboard corpus, and compared them with n-gram models. The optimal (normalized) weight of the inertia factor is large and positive for the Essen collection (.51) and small for the Billboard corpus (.02). This is further evidence that step inertia plays a much smaller role in popular melodies than common-practice ones, and that non-inertial steps are slightly favored.


The inverse frequency effect: An exploratory study

October 2023

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18 Reads

International Journal of Corpus Linguistics

Rare syntactic constructions show an especially strong tendency to be repeated, but some rare constructions exhibit this tendency much more strongly than others. The reasons for this variation are not well understood. This exploratory study examines five rare noun-phrase (NP) expansions in English: < the A> ( the rich ), < a N prop N prop > ( a Bob Gates) , ( architect Julia Morgan ), ( the jobs data ), and ( home electronic equipment ). Repetition tendencies are very strong in the first and second of these and somewhat strong in the third; in the fourth and fifth they are much weaker, only slightly higher than those of common NP expansions such as ( the black dog ). To explain this variation, we suggest that constructions may be associated with different types of discourse: constructions with high repetition tendencies tend to occur in persuasive rather than informative discourse.



Music and Language

January 2022

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193 Reads

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13 Citations

Annual Review of Linguistics

This review presents a highly selective survey of connections between music and language. I begin by considering some fundamental differences between music and language and some nonspecific similarities that may arise out of more general characteristics of human cognition and communication. I then discuss an important, specific interaction between music and language: the connection between linguistic stress and musical meter. Next, I consider several possible connections that have been widely studied but remain controversial: cross-cultural correlations between linguistic and musical rhythm, effects of musical training on linguistic abilities, and connections in cognitive processing between music and linguistic syntax. Finally, I discuss some parallels regarding the use of repetition in music and language, which until now has been a little-explored topic.


The origins of syncopation in American popular music

February 2021

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116 Reads

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7 Citations

Popular Music

The origins of syncopation in 20th-century American popular music have been a source of controversy. I offer a new account of this historical process. I distinguish between second-position syncopation, an accent on the second quarter of a half-note or quarter-note unit, and fourth-position syncopation, an accent on the fourth quarter of such a unit. Unlike second-position syncopation, fourth-position syncopation tends to have an anticipatory character. In an earlier study I presented evidence suggesting British roots for second-position syncopation. in contrast, fourth-position syncopation – the focus of the current study – seems to have had no presence in published 19th-century vocal music, British or American. It first appears in notation in ragtime songs and piano music at the very end of the 19th century; it was also used in recordings by African-American singers before it was widely notated.


Fig. 2. (A) Thomas Morton and Henry Bishop, "Pretty Mocking Bird," mm. 28-9, in Songs of England (SOE), 63; (B) William Shakespeare and Richard Stevens, "Sigh No More, Ladies," mm. 13-14, in SOE, 232; (C) Thomas Bayly, "Gaily the Troubadour," mm. 22-4, in SOE, 23; (D) Frederic Weatherly and Joseph Roeckel, "Angus MacDonald," mm. 4-5, in Songs of Scotland (SOS), 69; (E) William Shield and John O'Keefe, "The Thorn," mm. 3-4, in SOE, 146; (F) Dora Greenwell and Jacques Blumenthal, "Answers," mm. 25-6, in SOS, 87.
16th-level second-position syncopations.
8th-level second-position syncopations.
Second-Position Syncopation in European and American Vocal Music

November 2019

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292 Reads

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7 Citations

Empirical Musicology Review

I define a second-position syncopation as one involving a long note or accent on the second quarter of a half-note or quarter-note unit. I present a corpus analysis of second-position syncopation in 19th-century European and American vocal music. I argue that the analysis of syncopation requires consideration of other musical features besides note-onset patterns, including pitch contour, duration, and text-setting. The corpus analysis reveals that second-position syncopation was common in English, Scottish, Euro-American, and African-American vocal music, but rare in French, German, and Italian vocal music. This suggests that the prevalence of such syncopations in ragtime and later popular music was at least partly due to British influence.


Uniform Information Density in Music

July 2019

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55 Reads

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11 Citations

Music Theory Online

The theory of Uniform Information Density states that communication is optimal when information is presented at a moderate and uniform rate. Three predictions follow for music: (1) low-probability events should be longer in duration than high-probability events; (2) low-probability events should be juxtaposed with high-probability events; (3) an event that is low in probability in one dimension should be high in probability in other dimensions. I present evidence supporting all three of these predictions from three diverse areas of musical practice: Renaissance counterpoint, expressive performance, and common-practice themes.


Rare Constructions Are More Often Sentence-Initial

March 2019

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29 Reads

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2 Citations

Cognitive Science A Multidisciplinary Journal

Main clause phenomena (MCPs) are syntactic constructions that occur predominantly or exclusively in main clauses. I propose a processing explanation for MCPs. Sentence processing is easiest at the beginning of the sentence (requiring less search); this follows naturally from widely held assumptions about sentence processing. Because of this, a wider variety of constructions can be allowed at the beginning of the sentence without overwhelming the sentence‐processing mechanism. Unlike pragmatic and grammatical accounts of MCPs, the processing account predicts avoidance of MCPs in non‐initial main clauses (non‐initial coordinate clauses and premodified clauses). A corpus study supports these predictions, but it is somewhat inconclusive. A further corpus study examines another type of syntactic construction, premodifying adjunct phrases (“openers”); the prediction here is that less common types of opener will be especially avoided in non‐initial contexts. The prediction is confirmed, supporting the processing view of rare constructions.


Anticipatory Syncopation in Rock: A Corpus Study

January 2019

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166 Reads

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18 Citations

While syncopation generally refers to any conflict between surface accents and underlying meter, in rock and other recent popular styles it takes a more specific form in which accented notes occur just before strong beats. Such “anticipatory” syncopations suggest that there is an underlying cognitive representation in which the accented notes and strong beats align. Syllabic stress is crucial to the identification of such syncopations; to facilitate this, we present a corpus of rock melodies annotated with lyrics and syllabic stress values. We propose a new measure of syncopation that incorporates syllabic stress; we also propose a measure of anticipatory syncopation, and show that it reveals a strong presence of this type of syncopation in rock music. We then use these measures to explore other aspects of syncopation in rock, including its occurrence in different parts of the 4/4 measure, its dependence on tempo, its historical evolution, and its aesthetic functions.


Citations (44)


... IN this study, Temperley (2023) uses corpus analysis of classical period themes and folksongs to examine the use of metric parallelism, motive transposition, and repetition length. It is insightful, careful work that offers a strong contribution to the literature, and creates opportunities for both further theoretical development and experimental verification. ...

Reference:

Commentary on David Temperley's "Melodic Pattern Repetition and Efficient Encoding: A Corpus Study"
Melodic Pattern Repetition and Efficient Encoding: A Corpus Study

Empirical Musicology Review

... The fields of social philosophy, musicology, economics, sociology, and media studies have produced sophisticated and informed narratives throughout the twentieth century [1][2][3][4][5][6] , but the lack of digitized collections of popular music and methods for analyzing them systematically kept quantitative support for these narratives out of reach. By the early 2010s, the availability of datasets of popular lyrics, annotations, and recordings, in combination with the maturation of the field of music informatics, allowed for studies of popular music history that tested clear scientific hypotheses [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]23 . ...

Melodic Differences Between Styles: Modeling Music With Step Inertia
  • Citing Article
  • January 2024

Music & Science

... As we saw, syncopation is generally defined as the occurrence of a musical event on a metrically weak position preceding a rest on a metrically strong position (Huron, 2006). However, the strategy we have presented in this section extend also to cases of so-called fourth-position syncopation or anticipation (Temperley, 2021) such as (10). ...

The origins of syncopation in American popular music
  • Citing Article
  • February 2021

Popular Music

... Computational models show that musical scores exhibit a wide range of IC values for musical events such as harmonic [12,13] and pitch transitions [14]. Analyses of corpora of Western Classical music show that composers tend to assign high-IC chords to longer rhythmic values [5,15]. In music, the Uniform Information Density theory posits that temporal emphasis on high-IC elements ensures that information is presented at a uniform rate throughout a stimulus, averting moments that are either uninteresting (IC too low) or overwhelming (IC too high) [15]. ...

Uniform Information Density in Music
  • Citing Article
  • July 2019

Music Theory Online

... Volk and de Haas (2013) and Koops, Volk, and Haas (2015), for instance, study a corpus of ragtime melodies and find that the frequency of certain patterns of syncopation change through the decades spanning that genre's popularity, while Michelson, Xu, and Kirlin (2017) use a corpusbased generative model to transform common-practice musical sequences into ragtime rhythms, which -when subjected to human assessment -conform relatively well to listeners' expectation of that style. Similarly, Huron and Ommen (2006) identify an increase in syncopation in American popular music between 1890 and 1939 but find that no particular type of syncopation is associated with this increase, while Temperley (2019) finds that "second position syncopation" (or, syncopation that emphasizes the weak pulse immediately after a strong pulse) is particularly prevalent in British nineteenth-century folk music and early twentieth century American popular music, suggesting a influence between these two repertoires. On the other hand, Tan, Lustig, and Temperley (2018) study "anticipatory" syncopation (or, syncopation that occurs before a metrically strong event) is particularly evident in rock music, notably taking an approach that foregrounds syllable stress in their quantification of syncopation. ...

Second-Position Syncopation in European and American Vocal Music

Empirical Musicology Review

... As a first step in that direction, let us consider a third corpus: the Rolling Stone corpus, which contains rock melodies from approximately 1955 to 2000 (Temperley & de Clercq, 2013). Here we use a subset of the corpus, a set of 80 melodies (25,774 notes) that has been used elsewhere (Tan, Lustig, & Temperley, 2019), all in 4/4 time, roughly evenly balanced between the five decades (the 1950s through the 1990s). While this corpus contains far fewer melodies than the B&M and Essen corpora, the melodies are much longer: The Rolling Stone corpus contains 322 notes per melody on average, versus 19 in the B&M corpus and 47 in the Essen corpus. ...

Anticipatory Syncopation in Rock: A Corpus Study

... (Forward Conjunction Reduction and/or Gapping are the only ellipsis phenomena that can elide the left periphery and only in the second conjunct of a coordinated sentence; see Ross, 1967). Moreover, according to Temperley (2019), the most complex constructions occur at the onset of a sentence because more mental capacity is available here. ...

Rare Constructions Are More Often Sentence-Initial
  • Citing Article
  • March 2019

Cognitive Science A Multidisciplinary Journal

... An analysis of nPVI values in composers' native languages and their musical works showed that rhythmic variability in music closely mirrors that in language [40], establishing a link between linguistic and musical rhythm [45,46]. Later, this measure was fully adopted to quantify rhythmic changes in musical data in relation to historical trends [47,48], national influences [45,49,50], and compositional styles [51,52]. ...

Rhythmic Variability in European Vocal Music

... 6 The pop/rock style has its own models of phrase organization, unique types of chord progressions, and involves sung text. 50 Perhaps because of these challenges, when authors discuss cadences related to prechoruses, their accounts are often incompatible. ...

Mediant Mixture and “Blue Notes” in Rock: An Exploratory Study
  • Citing Article
  • March 2017

Music Theory Online