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Related papers: Relativity of musical mood

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This paper introduces a novel recurrent model for music composition that is tailored to the structure of polyphonic music. We propose an efficient new conditional probabilistic factorization of musical scores, viewing a score as a…

Sound · Computer Science 2019-11-28 John Thickstun , Zaid Harchaoui , Dean P. Foster , Sham M. Kakade

This article is about discrete periodicities and their combinatorial structure. It describes the unique structure caused by the alteration of a pattern in a repetition. That alteration of a pattern could be "heard" as the disturbance that…

Combinatorics · Mathematics 2018-11-15 Adrien Thierry

We present a new system for simultaneous estimation of keys, chords, and bass notes from music audio. It makes use of a novel chromagram representation of audio that takes perception of loudness into account. Furthermore, it is fully based…

Sound · Computer Science 2011-07-26 Yizhao Ni , Matt Mcvicar , Raul Santos-Rodriguez , Tijl De Bie

We initiate the study of positive geometry and scattering forms for tree-level amplitudes with matter particles in the (anti-)fundamental representation of the color/flavor group. As a toy example, we study the bi-color scalar theory, which…

High Energy Physics - Theory · Physics 2020-06-08 Aidan Herderschee , Song He , Fei Teng , Yong Zhang

Symmetry is an important factor in human perception in general, as well as in the visualization of graphs in particular. There are three main types of symmetry: reflective, translational, and rotational. We report the results of a human…

Computational Geometry · Computer Science 2018-09-07 Felice De Luca , Stephen Kobourov , Helen Purchase

Measuring relativistic effects on cosmological scales would provide further confirmation of the validity of general relativity in the still poorly tested condition of weak gravity. Despite their relevance, relativistic imprints in the…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-20 Marco Novara , Federico Montano , Stefano Camera

Inspired by the well known sine-Gordon equation, we present a symmetric coupled system of two real scalar fields in $1+1$ dimensions. There are three different topological soliton solutions which be labelled according to their topological…

Pattern Formation and Solitons · Physics 2019-06-19 Mohammad Mohammadi , Nematollah Riazi

Every system of any significant size is created by composition from smaller sub-systems or components. It is thus fruitful to analyze the fault-tolerance of a system as a function of its composition. In this paper, two basic types of system…

General Mathematics · Mathematics 2009-07-21 Shrisha Rao

We investigate compositions of a positive integer with a fixed number of parts, when there are several types of each natural number. These compositions produce new relationships among binomial coefficients, Catalan numbers, and numbers of…

Combinatorics · Mathematics 2010-12-20 Milan Janjic

A third-order double-slit interference experiment with pseudo-thermal light source in the high-intensity limit has been performed by actually recording the intensities in three optical paths. It is shown that not only can the visibil- ity…

Quantum Physics · Physics 2015-06-16 Xi-Hao Chen , Wen Chen , Shao-Ying Meng , Wei Wu , Guang-Jie Zhai , Ling-An Wu

We present a new approach to harmonic analysis that is trained to segment music into a sequence of chord spans tagged with chord labels. Formulated as a semi-Markov Conditional Random Field (semi-CRF), this joint segmentation and labeling…

Sound · Computer Science 2018-10-29 Kristen Masada , Razvan Bunescu

This paper attempts to look for a mathematical method of composing music by incorporating Schonbergs idea of tone rows and matrix theory from linear algebra. The elements of a note set S are considered as the integer values for the natural…

General Mathematics · Mathematics 2014-10-03 Sidarth Jayadev

The Doppler shift considered in general relativity involves mixed contributions of distinct, gravitational and kinematical origins and for most metrics or trajectories it takes a complex form. The expression for the Doppler shift may…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Radosz , A. T. Augousti , K. Ostasiewicz

Melody estimation or melody extraction refers to the extraction of the primary or fundamental dominant frequency in a melody. This sequence of frequencies obtained represents the pitch of the dominant melodic line from recorded music audio…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-30 Udhav Gupta , Avi , Bhavesh Jain

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result,…

Chaotic Dynamics · Physics 2009-05-05 Prabhakar G. Vaidya

In this paper we cluster 330 classical music pieces collected from MusicNet database based on their musical note sequence. We use shingling and chord trajectory matrices to create signature for each music piece and performed spectral…

Information Retrieval · Computer Science 2017-06-28 Xindi Wang , Syed Arefinul Haque

Polyphonic music files were analyzed using the set of symbols that produced the Minimal Entropy Description which we call the Fundamental Scale. This allowed us to create a novel space to represent music pieces by developing: a) a method to…

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

The human tri-color vision process may be characterized as follows: 1. A requirement of three scalar quantities to fully define a color (for example, intensity, hue, and purity), with 2. These scalar measures linear in the intensity of the…

Neurons and Cognition · Quantitative Biology 2023-07-12 M. L. Sloan

Sound generation and -interaction is highly complex, nonlinear and self-organized. Already 150 years ago Lord Rayleigh raised the following problem: Two nearby organ pipes of different fundamental frequencies sound together almost inaudibly…

Classical Physics · Physics 2009-09-10 Markus Abel , Karsten Ahnert , Steffen Bergweiler

A criterion to seek for compatibility of any given matter coupling with a fundamental theory of physics - assumed here to be the string theory - is developed. We call this criterion as"`compatibility check", and apply it to test different…

General Relativity and Quantum Cosmology · Physics 2013-09-19 Israel Quiros