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Related papers: Modulation in Tetradic Harmony and its Role in Jaz…

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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

This paper presents the Jazz Transformer, a generative model that utilizes a neural sequence model called the Transformer-XL for modeling lead sheets of Jazz music. Moreover, the model endeavors to incorporate structural events present in…

Sound · Computer Science 2020-08-05 Shih-Lun Wu , Yi-Hsuan Yang

After briefly revising the concepts of consonance/dissonance, a respective mathematic-computational model is described, based on Helmholtz's consonance theory and also considering the partials intensity. It is then applied to characterize…

Sound · Computer Science 2019-06-18 Luciano da Fontoura Costa

We extend a property of Mazzola's theory of cadential sets in relation to the modulation between minor and major tonalities from triadic to tetradic harmony, using the PLRQ group of Cannas et al. (2017) as the analogue of the classical PLR…

History and Overview · Mathematics 2026-05-28 Octavio A. Agustín-Aquino

Jazz music that swings has the fascinating power to elicit a pleasant sensation of flow in listeners and the desire to synchronize body movements with the music. Whether microtiming deviations (MTDs), i.e. small timing deviations below the…

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

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

Recently, multi-instrument music generation has become a hot topic. Different from single-instrument generation, multi-instrument generation needs to consider inter-track harmony besides intra-track coherence. This is usually achieved by…

Sound · Computer Science 2023-05-29 Xipin Wei , Junhui Chen , Zirui Zheng , Li Guo , Lantian Li , Dong Wang

Jazz guitar solos are improvised melody lines played on one instrument on top of a chordal accompaniment (comping). As the improvisation happens spontaneously, a reference score is non-existent, only a lead sheet. There are situations,…

Sound · Computer Science 2016-11-22 Stanislaw Gorlow , Mathieu Ramona , François Pachet

Symbolic Music Generation relies on the contextual representation capabilities of the generative model, where the most prevalent approach is the Transformer-based model. The learning of musical context is also related to the structural…

Sound · Computer Science 2022-07-12 Guowei Wu , Shipei Liu , Xiaoya Fan

Several prior works have proposed various methods for the task of automatic melody harmonization, in which a model aims to generate a sequence of chords to serve as the harmonic accompaniment of a given multiple-bar melody sequence. In this…

Artistic style has been studied for centuries, and recent advances in machine learning create new possibilities for understanding it computationally. However, ensuring that machine-learning models produce insights aligned with the interests…

Sound · Computer Science 2025-05-15 Huw Cheston , Reuben Bance , Peter M. C. Harrison

In this paper, we tackle the problem of transfer learning for Jazz automatic generation. Jazz is one of representative types of music, but the lack of Jazz data in the MIDI format hinders the construction of a generative model for Jazz.…

Sound · Computer Science 2019-08-27 Hsiao-Tzu Hung , Chung-Yang Wang , Yi-Hsuan Yang , Hsin-Min Wang

In the Pythagorean tuning system, the fifth is used to generate a scale of 12 notes per octave. In this paper, we use the octave to generate a scale of 19 notes per tritave; one can play this scale on a traditional piano. In this system,…

Sound · Computer Science 2019-06-27 Markus Schmidmeier

The aim of this paper is twofold: on one side we review the classical concept of musical mode from the viewpoint of modern music, reading it as a superimposition of a base-chord (seventh chord) and a tension-chord (triad). We associate to…

Algebraic Topology · Mathematics 2013-09-04 Mattia G. Bergomi , Alessandro Portaluri

The relationship between sensory consonance and Western harmony is an important topic in music theory and psychology. We introduce new methods for analysing this relationship, and apply them to large corpora representing three prominent…

Sound · Computer Science 2018-07-03 Peter M. C. Harrison , Marcus T. Pearce

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

Humans can acquire a highly structured intuitive understanding of musical patterns, yet these patterns often require multiple iterations of reflection and re-listening to internalize fully. To capture such an internalization process, we…

Machine Learning · Computer Science 2026-05-07 Zeng Ren , Maddy Bowers , Xinyi Guan , Martin Rohrmeier

Musical chords, harmonies or melodies in Just Intonation have note frequencies which are described by a base frequency multiplied by rational numbers. For any local section, these notes can be converted to some base frequency multiplied by…

Sound · Computer Science 2017-01-25 David Ryan

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
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