Musical Tension Research Articles

Time-varying similarity of neural responses to musical tension is shaped by physical features and musical themes

The similarity of understanding is important for music experience and communication, but little is understood about the sources of this common knowledge. Although neural responses to the same piece of music are known to be similar across listeners, it remains unclear whether this neural response similarity is linked to musical understanding and the role of dynamic musical attributes in shaping it. Our study addresses this gap by investigating the relationship between neural response similarity, musical tension, and dynamic musical attributes. Using electroencephalography-based inter-subject correlation (EEG-ISC), we examined how the neural response similarity among listeners varies throughout the evaluation of musical tension in the first movement of Beethoven's Piano Sonata No. 8. Participants continuously rated the degree of alignment between musical events and their expectations, while neural activity was recorded using electroencephalography (EEG). The results showed that neural response similarity fluctuated in tandem with musical tension, with increased similarity observed during moments of heightened tension. This time-varying neural response similarity was influenced by two dynamic attributes contributing to musical tension: physical features and musical themes. Specifically, its fluctuation was driven by physical features, and the patterns of its variation were modulated by musical themes, with similar time-varying patterns observed across similar thematic materials. These findings offer valuable insight into the role of dynamic musical attributes in shaping neural response similarity, and reveal an important source and mechanism of shared musical understandings.

Inter-subject correlation of electroencephalographic and behavioural responses reflects time-varying engagement with natural music.

Musical engagement can be conceptualized through various activities, modes of listening and listener states. Recent research has reported that a state of focused engagement can be indexed by the inter-subject correlation (ISC) of audience responses to a shared naturalistic stimulus. While statistically significant ISC has been reported during music listening, we lack insight into the temporal dynamics of engagement over the course of musical works-such as those composed in the Western classical style-which involve the formulation of expectations that are realized or derailed at subsequent points of arrival. Here, we use the ISC of electroencephalographic (EEG) and continuous behavioural (CB) responses to investigate the time-varying dynamics of engagement with functional tonal music. From a sample of adult musicians who listened to a complete cello concerto movement, we found that ISC varied throughout the excerpt for both measures. In particular, significant EEG ISC was observed during periods of musical tension that built to climactic highpoints, while significant CB ISC corresponded more to declarative entrances and points of arrival. Moreover, we found that a control stimulus retaining envelope characteristics of the intact music, but little other temporal structure, also elicited significantly correlated EEG and CB responses, though to lesser extents than the original version. In sum, these findings shed light on the temporal dynamics of engagement during music listening and clarify specific aspects of musical engagement that may be indexed by each measure.

Musical tension is affected by metrical structure dynamically and hierarchically.

As the basis of musical emotions, dynamic tension experience is felt by listeners as music unfolds over time. The effects of musical harmonic and melodic structures on tension have been widely investigated, however, the potential roles of metrical structures in tension perception remain largely unexplored. This experiment examined how different metrical structures affect tension experience and explored the underlying neural activities. The electroencephalogram (EEG) was recorded and subjective tension was rated simultaneously while participants listened to music meter sequences. On large time scale of whole meter sequences, it was found that different overall tension and low-frequency (1 ~ 4Hz) steady-state evoked potentials were elicited by metrical structures with different periods of strong beats, and the higher overall tension was associated with metrical structure with the shorter intervals between strong beats. On small time scale of measures, dynamic tension fluctuations within measures was found to be associated with the periodic modulations of high-frequency (10 ~ 25Hz) neural activities. The comparisons between the same beats within measures and across different meters both on small and large time scales verified the contextual effects of meter on tension induced by beats. Our findings suggest that the overall tension is determined by temporal intervals between strong beats, and the dynamic tension experience may arise from cognitive processing of hierarchical temporal expectation and attention, which are discussed under the theoretical frameworks of metrical hierarchy, musical expectation and dynamic attention.

TenseMusic: An automatic prediction model for musical tension.

The perception of tension and release dynamics constitutes one of the essential aspects of music listening. However, modeling musical tension to predict perception of listeners has been a challenge to researchers. Seminal work demonstrated that tension is reported consistently by listeners and can be accurately predicted from a discrete set of musical features, combining them into a weighted sum of slopes reflecting their combined dynamics over time. However, previous modeling approaches lack an automatic pipeline for feature extraction that would make them widely accessible to researchers in the field. Here, we present TenseMusic: an open-source automatic predictive tension model that operates with a musical audio as the only input. Using state-of-the-art music information retrieval (MIR) methods, it automatically extracts a set of six features (i.e., loudness, pitch height, tonal tension, roughness, tempo, and onset frequency) to use as predictors for musical tension. The algorithm was optimized using Lasso regression to best predict behavioral tension ratings collected on 38 Western classical musical pieces. Its performance was then tested by assessing the correlation between the predicted tension and unseen continuous behavioral tension ratings yielding large mean correlations between ratings and predictions approximating r = .60 across all pieces. We hope that providing the research community with this well-validated open-source tool for predicting musical tension will motivate further work in music cognition and contribute to elucidate the neural and cognitive correlates of tension dynamics for various musical genres and cultures.

Modeling Temporal Lobe Epilepsy during Music Large-Scale Form Perception Using the Impulse Pattern Formulation (IPF) Brain Model

Musical large-scale form is investigated using an electronic dance music piece fed into a Finite-Difference Time-Domain physical model of the cochlea, which again is input into an Impulse Pattern Formulation (IPF) Brain model. In previous studies, experimental EEG data showed an enhanced correlation between brain synchronization and the musical piece’s amplitude and fractal correlation dimension, representing musical tension and expectancy time points within the large-scale form of musical pieces. This is also in good agreement with a FitzHugh–Nagumo oscillator model.However, this model cannot display temporal developments in large-scale forms. The IPF Brain model shows a high correlation between cochlea input and brain synchronization at the gamma band range around 50 Hz, and also a strong negative correlation with low frequencies, associated with musical rhythm, during time frames with low cochlea input amplitudes. Such a high synchronization corresponds to temporal lobe epilepsy, often associated with creativity or spirituality. Therefore, the IPF Brain model results suggest that these conscious states occur at times of low external input at low frequencies, where isochronous musical rhythms are present.

When did that happen? The dynamic unfolding of perceived musical narrative

People readily imagine narratives in response to instrumental music. Although previous work has established that these narratives show broad intersubjectivity, it remains unclear whether these imagined stories are atemporal, or unfold systematically over the temporal extent of a musical excerpt. To investigate the dynamics of perceived musical narrative, we had participants first listen to 16 instrumental musical excerpts, which had previously been normed for factors of interest. While listening, participants continuously moved a slider to indicate their fluctuating perceptions of tension and relaxation. In a separate experimental session, participants reported the stories they imagined while listening to each excerpt, and then, while listening to the excerpts a final time, clicked a mouse to mark the time points at which they imagined new events in the ongoing imagined story. The time points of these event markings were not uniformly distributed throughout the excerpts, but were clustered at distinct moments, indicating that imagined narratives unfold in real time and entail general consensus about when listeners imagine events in the music. Moreover, the time points at which people tended to imagine events were correlated with the time points at which people tended to perceive salient changes in musical tension, as separately recorded within the first experimental session. The degree of alignment was greater for excerpts high in narrativity than those low in narrativity. Together, these results show that music can dynamically guide a listener's imagination and there is remarkable intersubjectivity in ‘when’ hear imagined story events in a piece of music.

The effects of contextual certainty on tension induction and resolution.

It is known that tension is a core principle of the generation of music emotion and meaning, and supposed to be induced by prediction in process of music listening. Using EEG and behavioral rating, the current research investigated how contextual certainty affects musical tension induction and resolution. The major results were that in the tension induction process, incongruent conditions elicited larger EN and P600 in ERP responses compared with congruent conditions, and the amplitude of P600, tension ratings were mediated by contextual certainty. In the tension resolution process, contextual certainty further affected the duration of P600 and tension ratings. For the certain conditions, tension ratings were higher, tension curves fluctuated faster, and a larger P600 was evoked in the incongruent condition compared with the congruent condition. For the uncertain conditions, there was no congruency effect on behavioral ratings and tension curves, but a larger P600 was elicited in the congruent condition. These results show that contextual certainty affects tension induction and resolution. Our findings provide a more comprehensive view on how musical prediction affects musical tension.

A tradeoff between musical tension perception and declarative memory.

Successful formation of long-term declarative memory is influenced, among other things, by attention, emotion, and deviation from expectations. A unique form of expectation can be elicited through musical tension, evoked by the prolongation of certain musical progressions. We examined the effect that musical tension exerts on the formation of declarative memory, by composing three original music pieces that contained tension segments, achieved by delays in release from dominant to tonic harmonies. Music-evoked tension was validated using music information retrieval (MIR) analysis, as well as skin conductance response (SCR) measures. Indeed, tension-evoking musical excerpts were associated with heightened SCR, corroborated by increased subjective ratings of tension, as compared to neutral excerpts. In the main experiment, 50 participants listened to the three musical pieces while they were presented with unique images that were randomly assigned to four conditions: tension, tension-release, neutral music, and silence. One day later, their memory for the images was examined using a recognition test. We found that memory performance was enhanced for images presented during both neutral and tense music compared to silence. Moreover, we observed a tradeoff effect between post-experiment tension perception and memory, such that individuals who perceived musical tension as such displayed reduced memory performance for images encoded during musical tension, whereas tense music benefited memory for those with lower musical tension perception. Understanding the interrelations between musical components, which exert powerful and fundamental responses in humans, and cognitive faculties, may provide insights as to the basic features of memory formation.Supplementary InformationThe online version contains supplementary material available at 10.3758/s13423-022-02095-z.

Multimedia Recognition of Piano Music Based on the Hidden Markov Model

Piano performance is an art with rich artistic elements and unpredictable performance skills. It is an important carrier for playing beautiful piano sounds. The generation of musical tension and expression of piano performance is a vivid display of piano performance skills. In piano performance, we should pay attention to the cultivation and flexible application of performance skills. In order to ensure the richness and artistry of piano performance, it is fully based on the artistic characteristics of piano performance. Through in-depth analysis of the principle of the hidden Markov model, it is applied to the multimedia recognition process of piano playing music. In the process of obtaining the template, the fundamental frequency of the piano playing music differs greatly, and the piano playing music appears during the performance process. For the problem of low recognition rate, this paper proposes a multimedia recognition method for piano music. Finally, the analysis of experimental results shows that the method proposed in this paper has a 16% higher recognition rate than the traditional method, and it has a certain value in the multimedia recognition of piano music.

Contextual prediction modulates musical tension: Evidence from behavioral and neural responses

Tension is a bridge between music structure and emotion. It is known that tension is affected by prediction in music listening as music unfolds. Combining behavioral and neural responses, the current research investigated how musical predictions influence tension in the process of prediction build-up based on musical context (anticipatory stage) and its integration with upcoming stimuli (integration stage). The results showed that, at the anticipatory stage, compared with high-prediction conditions, in low-prediction conditions tension curve changed faster and unstable, and a larger N5 in ERP response was elicited. Furthermore, at the integration stage, compared with congruent conditions, in incongruent conditions the behavioral rating of tension were higher regardless of the predictability of the final chord; a right negativity and P600 were elicited, and the amplitude of P600 was modulated by the predictability of the final chord. These results indicated that the effect of prediction on tension was modulated by contextual predictability. The findings provide a more comprehensive view on how musical prediction affects musical tension.

The influences of auditory cues and individual differences on the processing of musical tension

<p id="C2">The pattern of tension-relaxation is an essential component in music. Musical tension, building a bridge between objective sound and subjective experience, is important for the generation of musical emotion. On the one hand, musical tension is influenced by acoustic elements and structural organizations of tonal hierarchy, which is supported by theoretic models and empirical studies. On the other hand, musical tension experienced by listeners is also affected by individual differences, such as cultural background and musical ability. Future studies should pay more attention to musical tension induced by temporal structure and large-scale tonal structure. Meanwhile, the mechanism of tension induction also needs to be examined, which will be helpful to deepen our understanding of tension and emotion processing in music.

A Computational Model of Tonal Tension Profile of Chord Progressions in the Tonal Interval Space.

In tonal music, musical tension is strongly associated with musical expression, particularly with expectations and emotions. Most listeners are able to perceive musical tension subjectively, yet musical tension is difficult to be measured objectively, as it is connected with musical parameters such as rhythm, dynamics, melody, harmony, and timbre. Musical tension specifically associated with melodic and harmonic motion is called tonal tension. In this article, we are interested in perceived changes of tonal tension over time for chord progressions, dubbed tonal tension profiles. We propose an objective measure capable of capturing tension profile according to different tonal music parameters, namely, tonal distance, dissonance, voice leading, and hierarchical tension. We performed two experiments to validate the proposed model of tonal tension profile and compared against Lerdahl’s model and MorpheuS across 12 chord progressions. Our results show that the considered four tonal parameters contribute differently to the perception of tonal tension. In our model, their relative importance adopts the following weights, summing to unity: dissonance (0.402), hierarchical tension (0.246), tonal distance (0.202), and voice leading (0.193). The assumption that listeners perceive global changes in tonal tension as prototypical profiles is strongly suggested in our results, which outperform the state-of-the-art models.

Is Absolute Pitch Associated With Musical Tension Processing?

Absolute pitch (AP) is a superior ability to identify or produce musical tones without a reference tone. Although a few studies have investigated the relationship between AP and high-level music processing such as tonality and syntactic processing, very little is known about whether AP is related to musical tension processing. To address this issue, 20 AP possessors and 20 matched non-AP possessors listened to major and minor melodies and rated the levels of perceived and felt musical tension using a continuous response digital interface dial. Results indicated that the major melodies were perceived and felt as less tense than the minor ones by AP and non-AP possessors. However, there was weak evidence for no differences between AP and non-AP possessors in the perception and experience of musical tension, suggesting that AP may be independent of the processing of musical tension. The implications of these findings are discussed.

Methods of Measuring Musical Tension: Commentary on Teo (2020)

This commentary discusses the motivation, methods, and results of Teo's (2020) article on using Aggregate Voice-Leading (AVL) motion to predict perceived harmonic tension within post-tonal, neoclassical repertoire. The successes of the study as well as possible improvements are furthermore discussed. The final section contemplates some of Teo's results in light of BaileyShea and Monahan's (2018) embodied theory of analyzing and describing musical energetics such as tension. This embodied theory does not rely on tonality to operate and is therefore applicable to many genres of music. It could be an especially useful theory for analyzing genres of music for which past models of harmonic tension are insufficient, such as post-tonal or electroacoustic music.

Musical Tension Associated With Violations of Hierarchical Structure.

Tension is one of the core principles of emotion evoked by music, linking objective musical events and subjective experience. The present study used continuous behavioral rating and electroencephalography (EEG) to investigate the dynamic process of tension generation and its underlying neurocognitive mechanisms; specifically, tension induced by structural violations at different music hierarchical levels. In the experiment, twenty-four musicians were required to rate felt tension continuously in real-time, while listening to music sequences with either well-formed structure, phrase violations, or period violations. The behavioral data showed that structural violations gave rise to increasing and accumulating tension experience as the music unfolded; tension was increased dramatically by structural violations. Correspondingly, structural violations elicited N5 at GFP peaks, and induced decreasing neural oscillations power in the alpha frequency band (8–13 Hz). Furthermore, compared to phrase violations, period violations elicited larger N5 and induced a longer-lasting decrease of power in the alpha band, suggesting a hierarchical manner of musical processing. These results demonstrate the important role of musical structure in the generation of the experience of tension, providing support to the dynamic view of musical emotion and the hierarchical manner of tension processing.

An innovative method of algorithmic composition using musical tension

According to narratology or narrative theory, a piece of artwork should tell a story based on its various tensions. In this study, an automated music composition algorithm using musical tension energy was proposed; this algorithm can generate a musical piece by changing the musical tension. The proposed innovative Algorithmic Composition Musical Tension Energy (ACMTE) method uses the level of musical tension; this level is determined primarily by the chord progression and also the musical parameters of pitch interval and rhythm. The effects of musical tension energy on those parameters were analyzed. This paper presents a formula that unifies all generated parts. The experimental results demonstrate that thousands of beautiful pieces can easily be made without the use of a music database. This algorithmic composition method can be easily applied in both streaming media and to portable music devices, such as smart phones, notebooks, and MP3 players.

A Dynamical Systems Approach to Spectral Music: Modeling the Role of Roughness and Inharmonicity in Perception of Musical Tension

Tension-resolution patterns seem to play a dominant role in shaping our emotional experience of music. In traditional Western these patterns are mainly expressed through harmony and melody. However, many contemporary musical compositions employ sound materials lacking any perceivable pitch structure, rendering the two compositional devices useless. Still, composers like Tristan Murail or Gerard Grisey manage to implement the patterns by manipulating attributes like roughness and inharmonicity. However, in order to understand the music of theirs and the other proponents of the so-called spectral music, one has to eschew traditional categories like pitch, harmony, and tonality in favor of a lower-level, more general representation of sound -- which, unfortunately, music-psychological research has been reluctant to do. In the present study, motivated by recent advances in music-theoretical and neuroscientific research into a the highly related phenomenon of dissonance, we propose a neurodynamical model of musical tension based on a representation of sound which reproduces existing empirical results on correlates of tension. By virtue of being neurodynamical, the proposed model is generative in the sense that it can simulate responses to arbitrary sounds.

Projective listening: Trans, for saxophone and electronics, a case study

In this article, I examine three types of composition based on projective listening, a notion I develop in my own practice as a composer. I wrote Trans for saxophone and electronics, using a mixed sound where the electronic part interacts with the instrumental part through electronics. This choice structures the composition and means the performer can be included in the writing process through listening. The analysis of this piece reveals three listening modes: listening to mixed sound as a deferred performance; listening in order to project a target-image that guides the performance; listening in order to organize expectations through the development of three types of musical tension. This requires a specific work environment. This environment allows for a number of listening possibilities. I propose then to think of composing as the construction of the listening process of others.

Perception of Musical Tension in Cochlear Implant Listeners.

Despite the difficulties experienced by cochlear implant (CI) users in perceiving pitch and harmony, it is not uncommon to see CI users listening to music, or even playing an instrument. Listening to music is a complex process that relies not only on low-level percepts, such as pitch or timbre, but also on emotional reactions or the ability to perceive musical sequences as patterns of tension and release. CI users engaged in musical activities might experience some of these higher-level musical features. The goal of this study is to evaluate CI users' ability to perceive musical tension. Nine CI listeners (CIL) and nine normal-hearing listeners (NHL) were asked to rate musical tension on a continuous visual analog slider during music listening. The subjects listened to a 4 min recording of Mozart's Piano Sonata No. 4 (K282) performed by an experienced pianist. In addition to the original piece, four modified versions were also tested to identify which features might influence the responses to the music in the two groups. In each version, one musical feature of the piece was altered: tone pitch, intensity, rhythm, or tempo. Surprisingly, CIL and NHL rated overall musical tension in a very similar way in the original piece. However, the results from the different modifications revealed that while NHL ratings were strongly affected by music with random pitch tones (but preserved intensity and timing information), CIL ratings were not. Rating judgments of both groups were similarly affected by modifications of rhythm and tempo. Our study indicates that CI users can understand higher-level musical aspects as indexed by musical tension ratings. The results suggest that although most CI users have difficulties perceiving pitch, additional music cues, such as tempo and dynamics might contribute positively to their experience of music.

Music and Embodied Cognition: Listening, Moving, Feeling, and Thinking. By Arnie Cox

The disciplines of music theory and musicology have long given highest status to the score as the site of meaning, an approach that has seen performance as a form of mediation between composer and listener. But innovative research over the last few decades—in embodiment,1 cognition,2 agency,3 performance and recordings studies,4 and performance-centered approaches to structure formation5—has encouraged music scholars to take their own embodiments, as well as specific performances or recordings, more seriously in music analysis and criticism. Arnie Cox’s work, aimed primarily at listeners, contributes to this change in approach. His new book builds on his earlier established “mimetic hypothesis,”6 and draws on George Lakoff and Mark Johnson’s conceptual metaphor theory.7 It is an exploration of how we feel, experience, and conceptualize music. Cox draws attention to musical concepts that are entrenched in our discourses, but that are, objectively speaking, inaudible: pitch height, musical motion, musical tension, striving melodies, leaps, and so forth. Such properties of musical meaning, while often attributed to “the music,” are shown to emerge through listeners’ embodied participations or co-performances. Drawing on linguistics, cognitive science, psychology, and philosophy, Cox’s multifaceted theory takes into account different types of music, different peoples’ experiences, and different musical contexts.