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Related papers: Dichotic harmony for the musical practice

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The perception of consonance/dissonance of musical harmonies is strongly correlated with their periodicity. This is shown in this article by consistently applying recent results from psychophysics and neuroacoustics, namely that the just…

Sound · Computer Science 2018-11-21 Frieder Stolzenburg

We develop aspects of music theory related to harmony, such as scales, chord formation and improvisation from a combinatorial perspective. The goal is to provide a foundation for this subject by deriving the basic structure from a few…

Sound · Computer Science 2026-02-27 Maksim Lipyanskiy

A combination of three or more tones played together is called a chord. In the chromatic scale, chords which are consonant are of particular interest and can be divided into several groups, two main ones being the major and minor chords.…

Popular Physics · Physics 2008-07-17 Kaca Bradonjic

Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent geometric model for music perception in order to rationalize, explain and predict psycho-acoustic phenomena. The space of…

Differential Geometry · Mathematics 2022-12-07 Benjamin Himpel

In classical music and in any genre of contemporary music, the tonal elements or notes used for playing are the same. The numerous possibilities of chords for a given instance in a piece make the playing, in general, very intricate, and…

Sound · Computer Science 2022-06-14 Steve Mathew D A

Consonance is related to the perception of pleasantness arising from a combination of sounds and has been approached quantitatively using mathematical relations, physics, information theory, and psychoacoustics. Tonal consonance is present…

Sound · Computer Science 2017-04-25 Jorge Useche , Rafael Hurtado

The buildup and release of a sense of tension is one of the most essential aspects of the process of listening to music. A veridical computational model of perceived musical tension would be an important ingredient for many music…

Sound · Computer Science 2017-07-05 Ali Nikrang , David R. W. Sears , Gerhard Widmer

To date, calculating the frequencies of musical notes requires one to know the frequency of some reference note. In this study, first-order ordinary differential equations are used to arrive at a mathematical model to determine tonal…

Sound · Computer Science 2021-06-17 Steve Mathew

Music similarity search is useful for a variety of creative tasks such as replacing one music recording with another recording with a similar "feel", a common task in video editing. For this task, it is typically necessary to define a…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-14 Jongpil Lee , Nicholas J. Bryan , Justin Salamon , Zeyu Jin , Juhan Nam

We investigate a dynamically adapting tuning scheme for microtonal tuning of musical instruments, allowing the performer to play music in just intonation in any key. Unlike other methods, which are based on a procedural analysis of the…

Popular Physics · Physics 2018-06-12 Karolin Stange , Christoph Wick , Haye Hinrichsen

The mathematics of musical intervals and scales has been extensively studied. Vastly simplified, our ears seem to prefer intervals whose frequency ratios have small numerator and denominator, such as 2:1 (octave), 3:2 (perfect fifth), 4:3…

History and Overview · Mathematics 2025-09-23 Matthias Beck , Emily Clader

We consider the problem of audio voice separation for binaural applications, such as earphones and hearing aids. While today's neural networks perform remarkably well (separating $4+$ sources with 2 microphones) they assume a known or fixed…

Sound · Computer Science 2022-07-18 Zhongweiyang Xu , Romit Roy Choudhury

This paper provides a way to classify vocal disorders for clinical applications. This goal is achieved by means of geometric signal separation in a feature space. Typical quantities from chaos theory (like entropy, correlation dimension and…

Condensed Matter · Physics 2007-05-23 Lorenzo Matassini , Rainer Hegger , Holger Kantz , Claudia Manfredi

The term "differentiable digital signal processing" describes a family of techniques in which loss function gradients are backpropagated through digital signal processors, facilitating their integration into neural networks. This article…

Sound · Computer Science 2023-08-30 Ben Hayes , Jordie Shier , György Fazekas , Andrew McPherson , Charalampos Saitis

Melody extraction is a vital music information retrieval task among music researchers for its potential applications in education pedagogy and the music industry. Melody extraction is a notoriously challenging task due to the presence of…

Sound · Computer Science 2022-02-03 Gurunath Reddy M , K. Sreenivasa Rao , Partha Pratim Das

Assessment of voice signals has long been performed with the assumption of periodicity as this facilitates analysis. Near periodicity of normal voice signals makes short-time harmonic modeling an appealing choice to extract vocal feature…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-10 Takeshi Ikuma , Andrew J. McWhorter , Lacey Adkins , Melda Kunduk

Understanding the structural characteristics of harmony is essential for an effective use of music as a communication medium. Of the three expressive axes of music (melody, rhythm, harmony), harmony is the foundation on which the emotional…

Multimedia · Computer Science 2020-01-13 Maria Rojo González , Simone Santini

Representation learning focused on disentangling the underlying factors of variation in given data has become an important area of research in machine learning. However, most of the studies in this area have relied on datasets from the…

Machine Learning · Computer Science 2020-07-31 Ashis Pati , Siddharth Gururani , Alexander Lerch

Both harmonic and binaural signal properties are relevant for auditory processing. To investigate how these cues combine in the auditory system, detection thresholds for an 800-Hz tone masked by a diotic (i.e., identical between the ears)…

Sound · Computer Science 2017-04-03 Martin Klein-Hennig , Mathias Dietz , Volker Hohmann

Machine hearing or listening represents an emerging area. Conventional approaches rely on the design of handcrafted features specialized to a specific audio task and that can hardly generalized to other audio fields. For example,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Imad Rida , Romain Hérault , Gilles Gasso
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