Mathematicians conclusively demonstrate Bach’s greatness as a composer

Johann Sebastian Bach is considered one of the great composers of Western classical music. Researchers are currently trying to find out why by analyzing his music using information theory.

Suman Kulkarni Researchers at the University of Pennsylvania wanted to understand how the ability to recall and predict music is related to its structure. They decided to analyze Bach's works because he produced a huge number of works with a variety of structures, including religious hymns called chorales and the fast-paced masterpiece Toccata.

First, the researchers transformed each configuration into an information network by representing each note as a node and each transition between notes as an edge and connecting them. Using this network, we compared the amount of information in each work. Intended to entertain and surprise, toccatas contain more information than chorales, which are composed for more contemplative settings such as churches.

Kulkarni and her colleagues also used information networks to compare listeners' perceptions of Bach's music. They started with an existing computer model based on an experiment in which participants responded to a series of images on a screen. The researchers then measured how surprising the elements of the array were. They adapted an information network based on this model to music, where the links between each node are used to determine how likely a listener thinks two connected notes are to be played in succession, or how likely they actually are. It expresses how surprised you would be if that happened to you. Because humans don't learn information perfectly, a network that shows people's estimated sonic changes to a song is unlikely to accurately match a network based directly on that song. Researchers can quantify that discrepancy.

In this case, the discrepancy is low, suggesting that Bach's works convey information fairly effectively. But Kulkarni wants to fine-tune computer models of human perception to better match actual brain scans of people listening to music.

“More than just knowing frequencies, neuroscience has the missing link between complex structures like music and the brain's response to them. [of sounds]. This study could provide an exciting step forward.” randy mackintosh At Simon Fraser University, Canada. However, there are many other factors that influence how a person perceives music. For example, how long the person listens to songs, whether they have musical training, etc. These still need to be explained, he says.

Even in information theory, it is still not clear whether Bach's compositional style was exceptional compared to other types of music. McIntosh said his own previous research has found some general similarities between the musicians, similar to the differences between Bach and rock guitarist Eddie Van Halen, but more detailed analysis is needed. It states that.

“I would like to perform the same analysis for different composers and non-Western music,” Kulkarni says.