English
Related papers

Related papers: A New Keyboard for the Bohlen-Pierce Scale

200 papers

The claim that there is an inconsistency of quantum-classical dynamics [1] is investigated. We point out that a consistent formulation of quantum and classical dynamics which can be used to describe quantum measurement processes is already…

Quantum Physics · Physics 2007-05-23 E. C. G. Sudarshan

Phonons - quanta of crystal lattice vibrations - reveal themselves in all electrical, thermal and optical phenomena in materials. Nanostructures open exciting opportunities for tuning the phonon energy spectrum and related properties of…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Alexander A. Balandina , Denis L. Nika

A particle spectrum below the string scale in accordance with predictions from heterotic string theory yields a Planck mass $m_{Pl}=(8\pi G_N)^{-1/2}$ which exceeds the string scale by a factor $\simeq 61.9$. A Planck mass…

High Energy Physics - Theory · Physics 2007-05-23 Rainer Dick

Nonlinear physics plays an essential role in hearing, from sound signal generation to sound sensing to the processing of complex sound environments. We demonstrate that the evolution of the biological hearing sensors demonstrates a dramatic…

Adaptation and Self-Organizing Systems · Physics 2015-09-16 Tom Lorimer , Florian Gomez , Ruedi Stoop

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

By a "scheme" of a musical canon, we mean the time and pitch displacement of each entering voice. When the time displacements are unequal, achieving consonant sonorities is especially challenging. Using a first-species theoretical model, we…

Number Theory · Mathematics 2025-06-16 Evan M. O'Dorney

Stochastic physics is a central pillar of modern research in many fields, but is rarely presented to undergrad students in a hands-on experiment. Here, we demonstrate how a human-scale, simple, and affordable experimental setup can be used…

Classical Physics · Physics 2024-04-08 Andreas Eggenberger , Alexander Eichler

Sound cards, which count as standard equipment in today's computers, can be turned into measurement tools, making experimentation very efficient and cheap. The chief difficulties to overcome are the lack of proper hardware interfacing and…

Physics Education · Physics 2011-08-05 Zoltan Gingl , Robert Mingesz , Janos Mellar , Balazs Lupsic , Katalin Kopasz

We discuss the practical problems arising when constructing any (new or old) scales on slide rules, i.e. realizing the theory in the practice. This might help anyone in planning and realizing (mainly the magnitude and labeling of) new…

History and Overview · Mathematics 2017-06-15 Istvan Szalkai , Ace Hoffman

Byte-Pair Encoding (BPE) is an algorithm commonly used in Natural Language Processing to build a vocabulary of subwords, which has been recently applied to symbolic music. Given that symbolic music can differ significantly from text,…

Information Retrieval · Computer Science 2024-10-03 Dinh-Viet-Toan Le , Louis Bigo , Mikaela Keller

It is argued that every measurement is made in a certain scale. The scale in which present measuments are made is called present scale which gives present knowledge. Quantities at the limits to present measurement may be observables in…

Quantum Physics · Physics 2007-05-23 Zhen Wang

The vibrations of the soundboard of an upright piano in playing condition are investigated. It is first shown that the linear part of the response is at least 50 dB above its nonlinear component at normal levels of vibration. Given this…

Classical Physics · Physics 2012-12-14 Kerem Ege , Xavier Boutillon

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

Capturing intricate and subtle variations in human expressiveness in music performance using computational approaches is challenging. In this paper, we propose a novel approach for reconstructing human expressiveness in piano performance…

Sound · Computer Science 2023-10-03 Jingjing Tang , Geraint Wiggins , Gyorgy Fazekas

The cochlea has long been the subject of investigation in various research fields due to its intriguing spiral architecture and unique sensing characteristics. One of its most interesting features is the ability to sense acoustic waves at…

The conception and design of new musical interfaces is a multidisciplinary area that tightly relates technology and artistic creation. In this paper, the author first exposes some of the questions he has posed himself during more than a…

Human-Computer Interaction · Computer Science 2020-10-06 Sergi Jordà

We show how B -> pi pi decays can be used to search for new physics in the b -> d flavour-changing neutral current. One needs one piece of theoretical input, which we take to be a prediction for P/T, the ratio of the penguin and tree…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. London , N. Sinha , R. Sinha

In a recent article, arXiv:2605.12414, it is stated that a certain scale transformation has been "systematically overlooked" in discussions of the tensionless string. Here we point out that this kind of symmetry is treated in numerous…

High Energy Physics - Theory · Physics 2026-05-27 Ulf Lindström

Novel techniques are presented, which identify the chiral power-counting regime (PCR), and realize the existence of an intrinsic energy scale embedded in lattice QCD results that extend outside the PCR. The nucleon mass is considered as a…

High Energy Physics - Lattice · Physics 2015-05-27 Jonathan M. M. Hall , Derek B. Leinweber , Ross D. Young

The Pythagorean school attributed consonance in music to simplicity of frequency ratios between musical tones. In the last two centuries, the consonance curves developed by Helmholtz, Plompt and Levelt shifted focus to psycho-acoustic…

History and Overview · Mathematics 2025-03-12 Jan Cichowlas , Paweł Dłotko , Marek Kuś , Jan Spaliński