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Related papers: Musical Chords by the Numbers

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Music is an art, perceived in unique ways by every listener, coming from acoustic signals. In the meantime, standards as musical scores exist to describe it. Even if humans can make this transcription, it is costly in terms of time and…

Sound · Computer Science 2021-07-26 Axel Marmoret , Nancy Bertin , Jeremy Cohen

An algorithm is presented which generates pairs of oscillatory random time series which have identical periodograms but differ in the number of oscillations. This result indicate the intrinsic limitations of spectral methods when it comes…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. G. Rossberg

Monte Carlo integration is a commonly used technique to compute intractable integrals and is typically thought to perform poorly for very high-dimensional integrals. To show that this is not always the case, we examine Monte Carlo…

Methodology · Statistics 2023-05-26 Yanbo Tang

We introduce the Gradient-MUSIC algorithm for estimating the unknown frequencies and amplitudes of a nonharmonic signal from noisy time samples. While the classical MUSIC algorithm performs a computationally expensive search over a fine…

Information Theory · Computer Science 2025-10-22 Albert Fannjiang , Weilin Li , Wenjing Liao

Initiating a quest to unravel the complexities of musical aesthetics through the lens of information dynamics, our study delves into the realm of musical sequence modeling, drawing a parallel between the sequential structured nature of…

Information Theory · Computer Science 2024-10-25 Farshad Jafari , Claire Arthur

Discovering and exploring the underlying structure of multi-instrumental music using learning-based approaches remains an open problem. We extend the recent MusicVAE model to represent multitrack polyphonic measures as vectors in a latent…

Machine Learning · Statistics 2018-06-04 Ian Simon , Adam Roberts , Colin Raffel , Jesse Engel , Curtis Hawthorne , Douglas Eck

The development of models for learning music similarity and feature extraction from audio media files is an increasingly important task for the entertainment industry. This work proposes a novel music classification model based on metric…

Sound · Computer Science 2019-09-19 Angelo C. Mendes da Silva , Mauricio A. Nunes , Raul Fonseca Neto

In a causal graphical model, an instrument for a variable X and its effect Y is a random variable that is a cause of X and independent of all the causes of Y except X. (Pearl (1995), Spirtes et al (2000)). Instrumental variables can be used…

Methodology · Statistics 2013-01-14 Tianjiao Chu , Richard Scheines , Peter L. Spirtes

High-quality data from space-based observatories present an opportunity to fit stellar models to observations of individually-identified oscillation frequencies, not just the large and small frequency separations. But such fits require the…

Solar and Stellar Astrophysics · Physics 2015-06-17 Warrick H. Ball , Jesper Schou , Laurent Gizon , João P. Marques

Computational aesthetics evaluation has made great achievements in the field of visual arts, but the research work on music still needs to be explored. Although the existing work of music generation is very substantial, the quality of music…

Sound · Computer Science 2023-01-18 Xin Jin , Wu Zhou , Jinyu Wang , Duo Xu , Yiqing Rong , Shuai Cui

Modern keyboards allow a musician to play multiple instruments at the same time by assigning zones -- fixed pitch ranges of the keyboard -- to different instruments. In this paper, we aim to further extend this idea and examine the…

Sound · Computer Science 2021-10-22 Hao-Wen Dong , Chris Donahue , Taylor Berg-Kirkpatrick , Julian McAuley

Musical features and descriptors could be coarsely divided into three levels of complexity. The bottom level contains the basic building blocks of music, e.g., chords, beats and timbre. The middle level contains concepts that emerge from…

Sound · Computer Science 2018-06-14 Anna Aljanaki , Mohammad Soleymani

A method is presented for analysing over-determined sets of clock frequency comparison data involving standards based on a number of different reference transitions. This least-squares adjustment procedure, which is based on the method used…

Data Analysis, Statistics and Probability · Physics 2015-09-30 H. S. Margolis , P. Gill

Interval calculus is a relatively new branch of mathematics. Initially understood as a set of tools to assess the quality of numerical calculations (rigorous control of rounding errors), it became a discipline in its own rights today.…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Marek W. Gutowski

We demonstrate relationships between the classic Euclidean algorithm and many other fields of study, particularly in the context of music and distance geometry. Specifically, we show how the structure of the Euclidean algorithm defines a…

This paper describes a computational model of loudness variations in expressive ensemble performance. The model predicts and explains the continuous variation of loudness as a function of information extracted automatically from the written…

Sound · Computer Science 2016-12-19 Thassilo Gadermaier , Maarten Grachten , Carlos Eduardo Cancino Chacón

Many music AI models learn a map between music content and human-defined labels. However, many annotations, such as chords, can be naturally expressed within the music modality itself, e.g., as sequences of symbolic notes. This observation…

Sound · Computer Science 2025-09-30 Junyan Jiang , Daniel Chin , Liwei Lin , Xuanjie Liu , Gus Xia

Fractal geometry of random curves appearing in the scaling limit of critical two-dimensional statistical systems is characterized by their harmonic measure and winding angle. The former is the measure of the jaggedness of the curves while…

Statistical Mechanics · Physics 2008-07-01 A. Belikov , I. A. Gruzberg , I. Rushkin

Chorus detection is a challenging problem in musical signal processing as the chorus often repeats more than once in popular songs, usually with rich instruments and complex rhythm forms. Most of the existing works focus on the…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-21 Qiqi He , Xiaoheng Sun , Yi Yu , Wei Li

We evaluated the impact of changing the observation scale over the entropy measures for text descriptions. MIDI coded Music, computer code and two human natural languages were studied at the scale of characters, words, and at the…

Information Theory · Computer Science 2017-01-13 Gerardo Febres , Klaus Jaffe
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