On the Complexity Analysis and Visualization of Musical Information
António M Lopes1, J A Tenreiro Machado2
1UISPA-LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study uses mathematical tools to analyze digital music, revealing patterns that effectively assess musical complexity and correlate with artists' production.
Area of Science:
- Computational musicology
- Digital signal processing
- Data analysis
Background:
- Characterizing music requires robust analytical methods.
- Previous approaches may not fully capture musical complexity.
- Digital music representations offer new analytical possibilities.
Purpose of the Study:
- To apply mathematical and computational tools for music characterization.
- To assess the complexity of musical information in digital music.
- To correlate data patterns with artists' musical production.
Main Methods:
- Utilized complexity, dimensionality-reduction, clustering, and visualization techniques.
- Analyzed digital music representations using distinct indices.
- Employed multidimensional scaling (MDS) for data visualization.
Main Results:
- Identified distinct patterns in the digital music data.
- Demonstrated the effectiveness of the applied computational tools.
- Correlated analytical findings with artists' musical output.
Conclusions:
- The proposed approach is effective for assessing musical complexity.
- Mathematical and computational methods provide valuable insights into music.
- Data-driven analysis can characterize and understand musical information.
Related Concept Videos
Mass Spectrometry: Complex Analysis
1.3K
Mass spectrometry is an important technique for the identification of pure compounds. However, it has some limitations for the analysis of complex mixtures, often due to excessive fragmentation making the spectrum too complicated to decipher. Mass spectrometry can be combined with suitable separation methods in sequence, forming hyphenated methods, which are useful in the analysis of complex mixtures.
GC–MS is a powerful hyphenated method commonly used in forensics and environmental...
GC–MS is a powerful hyphenated method commonly used in forensics and environmental...
1.3K
Manipulation and Analysis
183
GIS manipulation and analysis functions are vital for decision-making and planning. These activities range from data retrieval tasks, such as selecting information based on specific criteria, to advanced analytical techniques that address complex spatial problems.One critical GIS analysis method is overlaying, which combines multiple data layers to examine impacts. For example, overlaying a river-dammed lake boundary with road networks can identify affected infrastructure. Another common...
183
Signal Flow Graphs
450
Signal-flow graphs offer a streamlined and intuitive approach to representing control systems, providing an alternative to traditional block diagrams. These graphs use branches to symbolize systems and nodes to represent signals, effectively illustrating the relationships and interactions within the system.
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
450
Mass Analyzers: Overview
1.3K
The mass analyzer is a crucial component of the mass spectrometer. In the ionization chamber, the vaporized sample is bombarded with a high-energy electron beam to generate a radical cation and further fragment into neutral molecules, radicals, and cations. A series of negatively charged accelerator plates accelerate the cations into the mass analyzer. The mass analyzer separates ions according to their mass-to-charge (m/z) ratios and then directs them to the detector. The common types of mass...
1.3K
Multiple Bar Graph
8.6K
As the name suggests, a multiple bar graph is the same as a bar graph but has multiple bars to depict relationships between different data values. One can include as many parameters as possible. However, each parameter must have the same unit of measurement.
Each bar or column in the multiple bar graph represents a data value. These graphs are used primarily in interrelating two or more sets of data. The categories of different kinds of data are listed along the horizontal or x-axis, whereas...
Each bar or column in the multiple bar graph represents a data value. These graphs are used primarily in interrelating two or more sets of data. The categories of different kinds of data are listed along the horizontal or x-axis, whereas...
8.6K
Bode Plots
1.0K
Bode plots are graphical tools that use logarithmic scales for frequency on the x-axis and gain in decibels on the y-axis. This logarithmic method allows a wide range of frequencies to be compactly displayed, enabling the analysis of component effects on circuit behavior across a broad frequency spectrum.
A network function represents the ratio of a system's output to its input, with the magnitude and phase angle derived from the complex network function. The decibel logarithmic gain is...
A network function represents the ratio of a system's output to its input, with the magnitude and phase angle derived from the complex network function. The decibel logarithmic gain is...
1.0K


