Quantifying all aspects of music

The sciences are those modes of inquiry which relay on quantification. If it cannot be quantified, it cannot be studied. And music is not an exception. Those who study the psychology of this art have at their disposal a variety of machinery and observational tactics with the purpose of quantifying the data. Here below are some of the most intriguing and thought-provoking quotations from Elizabeth Hellmuth Margulis’ The Psychology of Music. A Very Short Introduction (Oxford U Press, 2019, pp. 121). These quotations are accompanied by my own take on the information they contain.

Usually, the quote that initiates talking about music in general is “Talking about music is like dancing about architecture” (source unknown). This is on account of the fact that human music is like no other phenomenon of modes of expression, reception, performance, composition. Therefore, the closest to what human can say about music is a simile, for ex., “Music is like language”. In my opinion, this is not really true and it does not give both modes the appropriate due.

p. 10 “Like language, music consists of the complex patterning of individual sound elements. Like language, music varies across human cultures. Like language, music occurs dynamically in time and it is capable of being notated. And arguably, like language, music seems to be unique to humans.” So the psychology of music relies on many of the theories and methods of linguistics. However, it is proving to be difficult to observe the perception and production of music in a natural setting. Much work needs to be done, notwithstanding the large corpora of data and the help of computer technology. One of the similarities discovered between music and language is the observation that people slow down at the end of spoken phrases, and performers also slow down at the end of musical phrases. However, the simile could also have been “Music is like clothing”, because clothing is also complexly patterned, varies across cultures. And this simile would also put forward the idea of homogenizing – both in clothing and in music.

p. 21 “Music is often perceived as expressive in ways that go beyond language. Music can seem deeply meaningful even when it does not denote a concrete object or idea; rather, it seems to traffic in the ambiguous, the multiple interpretable. … p. 22 “the sense of being transported beyond one’s self tends to be a hallmark of musical listening across the world. This powerful kind of experience has variously been referred to as effervescence, a surplus effect, or (in less fanciful terms) a heightened state of arousal. Rather than be listened to and merely received, music tends to sweep people into its vicissitudes, eliciting sympathetic movement (toe tap or head nods) of a tacit sense of participation (mentally singing along, or feeling drawn out of yourself and into the music). This capacity underlies …four primary functions of music: to regulate a mental of psychological state, to mediate between self and other, to function as symbols, and to help coordinate action.”

This is the most fascinating part of music: when you really listen or when you really play, it makes you feel like you are in another universe, in fact, it does away with your own self – the listener and the performer do not have a self. It is fascinating that this feeling of “outside-ness” is highly pleasant, and “waking up” from it is a let-down.

p. 22 the lullaby all over the world has the same features: higher pitch levels, slower pace, warmer vocal tone.

This is an interesting finding, given that musical traditions across the world use different materials to enact the four functions listed above.

p. 23 “Rather than depending on a single dedicated region [of the brain], the ability to hear, understand, and make music calls on networks spread throughout the brain – networks used by many other activities from speech to movement planning. This overlap likely explains some of the benefits musical experience and training can confer on abilities as diverse as learning a language, literacy, executive function, and social and emotional processing. … in other words, what might be special about music is not so much that it is different from everything else, but rather that it draws everything else together.”

This is a fascinating observation, underscoring the complexity of studying music in the brain.

p. 57 (musical grouping) “Because auditory sensory memory does not extend past about five seconds, it is difficult to directly experience rhythmic relationships that extend beyond this timescale. Larger-scale temporal relationships – such as form – tend to be perceived in a less sensory, more cognitive way.”

This is very interesting and it points to the idea that music does not simply touch the emotional phenomena, but involves the cognitive ones as well.

p. 60 (rhythmic patterns and language) “Musical themes from England and France…bear the marks of the linguistic environment in which they were composed: English themes contain more durational variability between successive notes, but durations in French themes are more uniform.”

This is a perfect example of how scientists leave the most interesting facts out of their description. Which music is the author talking about? Folkloric, vocal, classical, instrumental…? How exactly was this measured/quantified?

p. 63-64 “The dimensions available for performers to manipulate include timing…, dynamics…, articulation…, tempo… , intonation…, timbre… .”

All of these are amenable to quantification, so psychology has made big strides in this area.

68 “Understanding expressive performance is more about understanding the dynamic interplay between listener experiences and performer decisions than about understanding how performers relate to a score… .”

This is yet another unclear discovery: does it mean that the more the listeners knows the score, the more they can judge the subtle variations of performers? But then it means that listening in this way is more cognitively, not emotionally-driven.

69 there seems to be a difference between listeners’ enjoyment and interest.

Here, too, the author does not elaborate, especially as regards the definition of enjoyment and interest.

69-70 “Numerous studies show that information in the visual modality-particularly the movements of performers as they play – has powerful effect not just on the overall evaluation of the performance, but also on what listeners actually hear.

This is called “perceptual illusion” and it was mostly examined by having a video recording of someone saying “ba-ba-ba” superimposed on a video recording of the lip movement for “ga-ga-ga”. People looking at the video tend to hear an in-between syllable such as “da-da-da” which corrects to “ba-ba’ba” as soon as they close their eyes. Apparently, “what the person sees can fundamentally shape what a person hears.” It is difficult to gage this experiment’s design and translate it to music and its visual reception. People were observed to rate dissonant moments in blues performances of B.B. King as more dissonant when accompanied by a video footage of him visually highlighting the tonal conflict. “Perceptions of dissonance contribute essentially to affective responses to music. Scholars have tried to explain them in terms of the structure of the human ear and basic psychoacoustic principles, but research suggests that even something like the raising or lowering of an eyebrow can play a role.” (p. 71)

71 “…musical expressivity can sometimes be more easily decoded from the visual than the auditory domain”.

The observations that give rise to this finding were of a violinist either playing very expressively or in a deadpan manner. However, there is no mention of being just too expressive, which may interefere with the enjoyment of the performance.

72 “People also tend to enjoy individual performances more if told they come from a world-renowned professional pianist rather than a conservatory student.”

This is an example of the power of the peripheral information about a live concert: this information determines already the mind-set of the listeners and predisposes them in a certain way to the experience.

73 “Most studies suggest that performers plan three to four notes into the future as they play. This span increases as people gain experience; the longer someone has studied an instrument, the more anticipatory errors they make. “

This is interesting: I has always been interested in knowing why i play the wrong notes. I have to start observing if the erroneous notes are in fact notes that I anticipated by playing them too early.

As regard practice, p. 75 “No other measure, including intelligence and a general musical aptitude test, was able to predict the success [of learning a piece]. More practice has been shown to lead to faster transitions from key to key in pianists and more consistency in expressive playing.”

In other words, there is no substitute for practice. Moreover, the type of practice is crucial: quality practice involves ” careful self-management, attention, goal-setting, and focus.” p. 75 And, interestingly enough, “some of the findings currently attributed to practice may ultimately prove to have their roots in biology”.

This is a fascinating finding, because it touches especially the inclination to practice, which seems to be inextricably connected to a function of the genetics of musicality. Further questions on musicality involve the variables that account for musical capacity and its acquisition, the level of inborn musicality, and its development. Research focuses on pitch perception (frequency of sound waves), tonality, exposure to different types of music, all possibly having to do with developmental stages, and effects of musical training.

p. 96 [as regards emotional responses to music] “It is important to distinguish between two kinds of experiences. On the one hand, music can evoke emotion. Listening to a song can lead a person to weep in sorrow or to experience great joy. But sometimes, rather than actually experiencing an emotional state, listening to a song might lead a person merely to recognize that the music is expressive of sorrow or joy. Although both of these responses are interesting, the first has received more attention from music psychology because it is so puzzling. emotions are usually inspired by clear events relevant to a person’s goal. For example, sorrow might be elicited by the prospect of abandonment and joy by the hope of reconciliation. Music cannot abandon someone or reconcile with them. It seems to carry no goal-relevant object that would render it capable of triggering an emotional response.”

It seems that we are hard-wired to respond to, for ex., sudden, loud, unpleasant sounds which ready a person to respond even in situations which prove to be innocuous.

p. 99 “Music may also elicit emotions by triggering visual imagery. People generate visual imagery and imagined stories easily in response to music.”

It would be helpful to examine if the composer’s imagery (if in fact there was one) relates closely to the listener’s imagery.

p. 100 “Most of these [associative and visual] mechanisms rely on music’s entanglement with nonmusical entities – the way music can reference particular experiences or objects or social groups. However, one mechanism – musical expectancy – depends more exclusively on the purely sonic aspect. …a theory links between moments of musical surprise with experiences of emotion and expressivity. …even listeners without formal training anticipate particular continuations as the music progresses. By deviating from these expectations – leaping to a far-away note or stepping out of the key – music can generate tension and expressive intensity.”

Researchers observed the duration and frequency of the emotional responses, the intensity of them, the propensity for them.

p. 103 “…studies reinforce the notion that people prefer music that occupies a sweet spot of complexity – music that is neither too simple nor too complex.”

Again, the author does not go into definitions of terms such as complex music or simple music.

p. 105 “The lifetime set of a person’s previous musical experiences and that person’s personality are not wholly independent variables, because personality influences genre preference. People high on openness to new experience tend to prefer genres they view as more complex, such as classical, jazz, and metal. Extroverts tend to prefer conventional genres such as pop, especially when the music is fast and danceable.”

The careful wording suggests that the answers were given by subjects self-reporting on their preferences. It is not clear what type of experiments were carried to come up with these conclusions.

p. 107 [Musical functions and motivation] “…categories of experience music affords or makes possible. Six basic candidates for these categories might include movement, play, communication, social bonding, emotion, and identity.”

Music, it has been repeated often in this book, resides and requires many areas of the brain to activate. And it links all types of external human activities,whether they are social, economic, physical, and individual, such as emotional responses and ability to concentrate. In the concluding paragraph, the author raises an urgent point:

p. 121 “By providing a laboratory for thinking between the sciences and the humanities, music psychology can fuel innovation that transcends its own disciplinary borders, while helping us understand a fundamental human attribute – musicality – that is key to our identity, our eccentricity, and our ability to understand one another.”

This is a heavy burden for one scientific discipline, and a project, if successful, which may actually help people understand not only each other but also, and especially, themselves.

Mozart’s secrets

What new information can be gathered from yet another biography of Wolfgang Amadeus Mozart that has not been said in the hundreds (some say more than two thousand) of this musician’s life stories? I am not an expert on Mozart, but some facts are relatively known by all those interested in music. Paul Johnson’s Mozart. A Life (Viking, 2013, pp. 164) is not an academic biography (the author does not cite where his quotations from others come from), nor a biography written for composers by a composer (like the Beethoven’s biography discussed in my post below (Beethoven’s tears). The book is a quick read, written by an obvious aficionado. There is an Epilogue/Appendix by Daniel Johnson entitled “Mozart in London” dealing with Mozart’s visit to that town; this appendix is more a panegyric to London than anything else. The book closes with a short section on Further Reading followed by an Index. My comments are based on what I knew about Mozart’s life and those I found in Johnson’s book.

Mozart and languages

It is part of Mozart’s lore that when he and his sister Nannerl were young, they invented a secret language. It would be interesting to find out what the form of this language was and whether they kept the knowledge of it. Johnson mentions that Mozart probably learnt how to read music notes before knowing how to read words. Not only that, but his facility with learning languages is also brought up: “His father taught him Latin without difficulty. But English he picked up for himself, and the following year he mastered a good deal of Italian. Years after, he is recorded as speaking English fluently and with a good accent.” (p. 14; source of information not indicated). The biography does not go deeper into this topic. One can surmise that as regards Latin, it was the language of the Catholic mass, and as regards Italian, it was the language of the opera, so Mozart had to be in contact with these languages weekly, if not daily. It would be an interesting research to delve into the process of learning languages in Mozart’s time, and especially by him.

Gaieties of life or complexity of character?

Johnson frequently underlines the fact that Mozart’s character leaned greatly towards cheerfulness. “The great thing about Mozart, one reason why people liked him so much, was that he added hugely to the gaieties of life. Gay himself by nature, he saw no reason why people should not enjoy a little innocent pleasure, or not-so-innocent pleasure, for that matter.” (p. 61) Dances, jokes, double-entendres, musical jokes, billiards, all contributed to this enjoyment of life.  He loved to dance, and he composed many dance pieces (minuets, gavottes, country dances, waltzes and others), and music for ballet. Family and friends gatherings offered the occasions for not only playing music, trying his new compositions, and discussing them, but also for exchanging new jokes and basically having fun. Mozart’s membership in the Freemasons is well known. It is less discussed (one example may be from the Catholic side https://www.ncronline.org/blogs/all-things-catholic/mozart-masonry-and-catholicism) how this membership, whose purpose is very far from having fun, added to the complexity of Mozart’s character, since gaiety and Masonry have very different rules and may have clashed in the composer’s mind. Add to this Mozart’s faith and his relationship to the Catholic church. Clearly, he was able to incorporate all this in his music, even though his joy, Catholicism and Freemasonry may have clashed, or maybe just because of this clash he was able to create such musical masterpieces.

Offending the ear

In a letter to his father, Mozart writes about the parts in his The Abduction from the Seraglio. There is an interesting thought which Johnson does not dwell on:

… passions, whether violent or not, must never be expressed to the point of disgust, and as music, even in the most terrible situations, must never offend the ear, but must please the listener, or in other words must never cease to be music… (pp. 84-85)

So many questions come to mind stemming from this sentence: What is disgust? How is it expressed in music? What does ‘offending the ear’ mean? Why does Mozart want to please the listener? Is it the composer’s duty to please the listener? Do we have here Mozart’s definition of music as something that does not offend the ear and pleases the listener? Is this definition applicable only to compositions written in the classical style or can/should it be generalized? This Mozart’s opinion perhaps explains why his compositions have been called ‘elegant’ (I don’t remember by whom).

Creating musical problems

Johnson writes, on p. 95, “Because of his early training and exceptional musical intelligence, Mozart found most things easy and loved creating problems for himself and so, invariably, for singers and players. As his letters to his father show again and again, he knew exactly when he made his work hard to play and harder still to get exactly right. It is not true to say that he invented hard passages entirely for their own sake – that would have been perverse and unmusical – but to get an effect, he was ready to make the orchestra “sweat,” as he put it, and the singers to give their utmost.”

Interestingly, Beethoven, too, was prone to compose hard sections and pieces, and he too, was not worried about how the members of the orchestra felt about it (he sent them home to practice!). My interest here stems from the fact that the idea of “difficulty” underpins the manner in which geniuses operate – i.e., they cause their aims to converge at any cost. But there are different levels of difficulty and different types of it. Each pianist has to decide how to approach the difficulties, for ex., found in he sonata K457. From a general perspective, the modern age shuns difficulties, learners are forced to “have fun” learning.

In conclusion, this biography opened up more questions and more topics to delve into, rather than providing answer and solutions to existing queries. It does, moreover, ask us to think slightly differently not about Mozart himself, but about the closest people to him, for ex., we should consider whether his father was really such a monster as he usually is portrayed, or whether Constance was really such a bad housewife as has been written about her. All in all, whether you love Mozart’s music, or not, this biography will not change your mind about this genial composer.

Beethoven’s tears

A good biography allows the readers to discover the person described as well as learn more about themselves and humanity in general. Jan Swafford’s Beethoven. Anguish and Triumph (Houghton Mifflin, Harcourt, 2014, pp. 1077)) is just such biography. Although written from the perspective of a writer who is also a composer, the book places Ludwig van Beethoven in his historical setting, describes his family life, and his composing process, and, above all, sheds some of the mythical encrustations that history has layered on this musical genius. After having read this biography, I have a much more nuanced and corrected view of the composer, and I appreciate his music so much more than before. Rather than attempting to analyze the book chapter by chapter, I chose to concentrate on three ideas that form sort of a background of how I understand Beethoven, humanity, and myself.

Beethoven’s tears

The book reports a visit to Beethoven’s family when he was very young, during which the visitor saw small Ludwig standing on a stool, playing the piano, and crying, with his father looming over the little child. This picture conjured many questions in my mind, least of which about how children have been and are “educated”. It is an idle and useless speculation to ask whether the composer would have been as great as he was without his early forced instruction in piano playing. But it is entirely possible that this experience molded Beethoven’s thought, often expressed in the biography, that “Difficult is good”. In other words, the composer put forward in his mind a challenge to himself: he made difficulty a driving force which helped him to overcome the obstacles that for us would seem insurmountable, such as his constant health crises, financial situation, sentimental problems, family troubles, etc. When a Scottish publisher asks Beethoven to make his original versions of Scottish songs easier for the young ladies to play them, Beethoven is recalcitrant. On other occasions, when orchestra members complained to him that his music is too difficult to play, he only says ‘go home and practice’. His attitude that ‘difficult is good’ is illustrated throughout his life. He does not complain excessively about anything: his health, his financial situation, his sentimental problems, his family troubles, and there were many of each almost constantly. It is more than Freudian “sublimation”, it is an attitude that the test one puts oneself in has a solution which comes from deep inside. It is a truly admirable stance, one that could help humanity to solve the problems we are facing, both at the individual and the general level.

Rossini’s tears

Gioacchino Rossini visited Beethoven in 1822. Swafford writes:

“Rossini was stunned by two things in that visit: the squalor of the rooms and the warmth with which Beethoven greeted this rival who he knew was eclipsing him. There was no conversation; Beethoven could not make out a word Rossini said. But Beethoven congratulated him for The Barber of Seville. … Rossini left in tears. That night he was the prize guest of a party at Prince Metternich’s. He pleaded with the assembled aristocrats, saying something must be done for the “greatest genius of the age.” They brushed him off. Beethoven is crazy, misanthropic, they said. His misery is his own doing.” (p. 751)

This episode plainly illustrates two things: one, that the compassion of an individual is not enough to be of any lasting consequence, and two, that the most contemptible answer to someone else’s difficulties is to blame solely the individual themselves. We don’t know if Rossini (or for that matter anyone else) provided some financial support to the composer. On the other hand, it is as if the aristocrats’ views provide us with connections to Beethoven’s political – quasi democratic/egalitarian – beliefs about the upper classes, their falseness, aloofness, and hypocrisy. Growing up in Bonn during the Enlightenment, reading German poetry, encountering other composers, taught Beethoven about political ideologies, about possible changes in the world, and about the power of some individuals to affect changes. Seeing this episode from a contemporary perspective and comparing it to prevailing attitudes today illustrates the fact that we still have to learn a lot about equality, both at the individual level, and at the general level. It’s enough to see how the majority of the US citizens and their political parties fear, dread, and are terrified by egalitarian thoughts. As I have written elsewhere, universal income could be the answer to most of the social and economic problems, but this solution is not acceptable nowadays.

“To keep the whole in view”

One of the three epigraphs that Swafford offers after the title page of her biography is by Beethoven. She does not indicate where it comes from. It reads

“My custom even when I am composing instrumental music is always to keep the whole in view”.

In composing, therefore, Beethoven had a firm theme which had to fit in the whole composition, and Swafford gives numerous examples how that pans out in his oeuvre. What I found interesting is the word even, because it indicates that Beethoven, when doing/thinking anything, kept “the whole in view”. My interpretation is that he took account of what nowadays can be called the context. It seems that he was not rash in his judgement of people (even though he was wrong about Napoleon); he was widely read and his ideas stemmed not exclusively from the Enlightenment. He held high ideals which he translated into music. It is clear that humanity needs lofty ideals, of which there is dearth at present. But more than that, we need to keep the whole in view, keep asking about the context in which certain events happen, whether they be individual or national or general. But for that we need an education that does not focus on jobs, perpetuating therefore the capitalist hegemony.

In conclusion, this biography provides ample opportunity to learn about Ludwig van Beethoven, about the political, economic, and historical context of his life. But it also offers a lot of possibilities to look at one individual’s life with a compassionate outlook that is not judgmental. Above all, it teaches us more about ourselves and out humanity.