Publications related to Extended chord

Hearing structure in music: An empirical inquiry into listening as representation and processing

As a universal expression of human creativity, music is capable of conveying great subtlety and complexity. Crucially, this complexity is not encoded in the score or in the sounds, but is rather construed in the mind of the listener in the form of nuanced ...

EPFL2024

The diachronic development of Debussy’s musical style: a corpus study with Discrete Fourier Transform

Martin Alois Rohrmeier, Johannes Hentschel, Gabriele Cecchetti, Sabrina Laneve, Ludovica Schaerf

Claude Debussy’s personal style is typically characterised as a departure from earlier diatonic tonality, including a greater variety of pitch-class materials organised in fragmented yet coherent compositions. Exploiting the music-theoretical interpretabil ...

2023

Fishing for complements with chord, scale, and rhythm nets

Daniel Harasim

The aim of this paper is to argue that complementation is an operation similarly fundamental to music theory as transposition and inversion. We focus on studying the chromatic complement mapping that translates diatonic seventh chords into 8-note scales wh ...

TAYLOR & FRANCIS LTD2023

Hearing functional harmony in jazz: A perceptual study on music-theoretical accounts of extended tonality

Martin Alois Rohrmeier, Daniel Harasim, Steffen Alexander Herff, Gabriele Cecchetti, Christoph Finkensiep

Functional harmony is an integral part of many repertoires in the Western musical practices, including both diatonic and extended tonality. In the latter context, music-theoretical accounts suggest that the three octatonic equivalence classes (OECs) consis ...

SAGE PUBLICATIONS LTD2022

Design of slender and squat reinforced concrete members with shear reinforcement

Aurelio Muttoni, Miguel Fernández Ruiz, Marko Pejatovic

As proposed in several design standards for structural concrete, including Eurocode 2 (EN:1992-1-1:2004) and fib's Model Code 2010, the shear design of slender members with shear reinforcement can be performed by means of consistent models based on suitabl ...

ERNST & SOHN2022

On the commutativity of flows of rough vector fields

Maria Colombo, Riccardo Tione

In the class of Sobolev vector fields in R-n of bounded divergence, for which the theory of DiPerna and Lions provides a well defined notion of flow, we characterize the vector fields whose flow commutes in terms of the Lie bracket and of a regularity cond ...

ELSEVIER2022

A Formal Model of Extended Tonal Harmony

Martin Alois Rohrmeier, Fabian Claude Moss

Extended tonality is a central system that characterizes the music from the 19th up to the 21st century, including styles like popular music, film music or Jazz. Developing from classical major-minor tonality, the harmonic language of extended tonality for ...

2021

The Impact of Voice Leading and Harmony on Musical Expectancy

Martin Alois Rohrmeier, Markus Franz Josef Neuwirth, Robert Lieck

In Western tonal music, voice leading (VL) and harmony are two central concepts influencing whether a musical sequence is perceived as well-formed. However, experimental studies have primarily focused on the effect of harmony on the cognitive processing of ...

Nature Research2020

The pleasantness of sensory dissonance is mediated by musical style and expertise

Martin Alois Rohrmeier, Fabian Claude Moss, Markus Franz Josef Neuwirth, Tudor Popescu

Western musical styles use a large variety of chords and vertical sonorities. Based on objective acoustical properties, chords can be situated on a dissonant-consonant continuum. While this might to some extent converge with the unpleasant-pleasant continu ...

Nature Research2019

Transitions of Tonality: A Model-Based Corpus Study

Fabian Claude Moss

Tonality has been the cornerstone of Western music-theoretical discourse for centuries. This study addresses the subject, using traditional music analysis, data-driven corpus methods, and computational models, concentrating on historical changes of tonalit ...

EPFL2019

Performance in Transverse Direction of Fiber‐Reinforced Polymer Bridge Decks

Thomas Keller, Julia De Castro San Roman Fest, Sonia Yanes Armas

Pultruded glass fiber‐reinforced polymer (GFRP) bridge decks distribute punctual vehicular loads to the underlying superstructure and can also act as the upper chord of hybrid main girders. The deck’s structural performance in both cases is influenced by i ...

International Association for Bridge and Structural Engineering - IABSE2015

Static performance in transverse direction of pultruded GFRP bridge decks

Thomas Keller, Anastasios Vassilopoulos, Julia De Castro San Roman Fest, Sonia Yanes Armas

Pultruded glass fiber-reinforced polymer (GFRP) bridge decks distribute punctual vehicular loads to the underlying superstructure and can also act as the upper chord of hybrid main girders. The deck’s structural performance in both cases is influenced by i ...

2014

Sesquilinear forms over rings with involution

Eva Bayer Fluckiger, Daniel Arnold Moldovan

Many classical results concerning quadratic forms have been extended to Hermitian forms over algebras with involution. However, not much is known in the case of sesquilinear forms without any symmetry property. The present paper will establish a Witt cance ...

Elsevier2014

An Optimal Linear-Time Algorithm for Interprocedural Register Allocation in High Level Synthesis Using SSA Form

Paolo Ienne, Philip Brisk, Ajay Kumar Verma

An optimal linear-time algorithm for interprocedural register allocation in high level synthesis is presented. Historically, register allocation has been modeled as a graph coloring problem, which is nondeterministic polynomial time-complete in general; ho ...

2010

Optimistic chordal coloring: a coalescing heuristic for SSA form programs

Paolo Ienne, Philip Brisk, Ajay Kumar Verma

The interference graph for a procedure in Static Single Assignment (SSA) Form is chordal. Since the k-colorability problem can be solved in polynomial-time for chordal graphs, this result has generated interest in SSA-based heuristics for spilling and coal ...

Springer US2009

Time resolved measurements by the pulse height analysis soft x-ray diagnostic on TCV

Basil Duval

A single chord, single processing chain, hybrid (analog/digital) pulse height analysis diagnostic has been developed for the TCV tokamak, aiming to provide the evolution of the plasma electron temperature with a software selectable minimum temporal resolut ...

2007

In-plane compression and shear performance of FRP bridge decks acting as top chord of bridge girders

Thomas Keller, Herbert Gürtler

This paper reports on the composite action developed between pultruded FRP bridge deck systems and the supporting main girders for road bridges. Presented are requirements that an FRP deck must satisfy in order to function as part of the upper chord of the ...

2006