The Logic of the Prime Number Distribution
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Echo-Enabled Harmonics up to the 75Th Order from Precisely Tailored Electron Beams E
LETTERS PUBLISHED ONLINE: 6 JUNE 2016 | DOI: 10.1038/NPHOTON.2016.101 Echo-enabled harmonics up to the 75th order from precisely tailored electron beams E. Hemsing1*,M.Dunning1,B.Garcia1,C.Hast1, T. Raubenheimer1,G.Stupakov1 and D. Xiang2,3* The production of coherent radiation at ever shorter wave- phase-mixing transformation turns the sinusoidal modulation into lengths has been a long-standing challenge since the invention a filamentary distribution with multiple energy bands (Fig. 1b). 1,2 λ of lasers and the subsequent demonstration of frequency A second laser ( 2 = 2,400 nm) then produces an energy modulation 3 ΔE fi doubling . Modern X-ray free-electron lasers (FELs) use relati- ( 2) in the nely striated beam in the U2 undulator (Fig. 1c). vistic electrons to produce intense X-ray pulses on few-femto- Finally, the beam travels through the C2 chicane where a smaller 4–6 R(2) second timescales . However, the shot noise that seeds the dispersion 56 brings the energy bands upright (Fig. 1d). amplification produces pulses with a noisy spectrum and Projected into the longitudinal space, the echo signal appears as a λ λ h limited temporal coherence. To produce stable transform- series of narrow current peaks (bunching) with separation = 2/ limited pulses, a seeding scheme called echo-enabled harmonic (Fig. 1e), where h is a harmonic of the second laser that determines generation (EEHG) has been proposed7,8, which harnesses the character of the harmonic echo signal. the highly nonlinear phase mixing of the celebrated echo EEHG has been examined experimentally only recently and phenomenon9 to generate coherent harmonic density modu- at modest harmonic orders, starting with the 3rd and 4th lations in the electron beam with conventional lasers. -
Thursday, April 03, 2014 the Winter 2014
The BYU-Idaho Research and Creative Works Council Is Pleased to Sponsor The Winter 2014 Thursday, April 03, 2014 Conference Staff Hayden Coombs Conference Manager Caroline Baker Conference Logistics Michael Stoll Faculty Support Meagan Pruden Faculty Support Cory Daley Faculty Support Blair Adams Graphic Design Kyle Whittle Assessment Jordan Hunter Assessment Jarek Smith Outreach Blaine Murray Outreach Advisory Committee Hector A. Becerril Conference Chair Jack Harrell Faculty Advisor Jason Hunt Faculty Advisor Tammy Collins Administrative Support Greg Roach Faculty Advisor Brian Schmidt Instructional Development Jared Williams Faculty Advisor Alan K. Young Administrative Support Brady Wiggins Faculty Advisor Lane Williams Faculty Advisor Agricultural and Biological Sciences Biological & Health Sciences, Oral Presentations SMI 240, 04:30 PM to 06:30 PM Comparison of Embryonic Development and the Association of Aeration on Rate of Growth in Pacific Northeastern Nudibranchs Elysa Curtis, Daniel Hope, Mackenzie Tietjen, Alan Holyoak (Mentor) Egg masses of six species of nudibranchs were kept and observed in a laboratory saltwater table with a constant flow of water directly from the ocean, from the time the eggs were laid to the time they hatched. The egg masses were kept in the same relative place in which they were laid, and protected by plastic containers with two mesh sides to let the water flow freely past the eggs. Samples of the egg masses were collected and observed under a microscope at regular intervals while temperature, salinity, width of eggs and stage of development were recorded. It was found that each embryo developed significantly faster compared to previous studies conducted on the respective species’ egg masses, including studies with higher water temperatures. -
Generation of Attosecond Light Pulses from Gas and Solid State Media
hv photonics Review Generation of Attosecond Light Pulses from Gas and Solid State Media Stefanos Chatziathanasiou 1, Subhendu Kahaly 2, Emmanouil Skantzakis 1, Giuseppe Sansone 2,3,4, Rodrigo Lopez-Martens 2,5, Stefan Haessler 5, Katalin Varju 2,6, George D. Tsakiris 7, Dimitris Charalambidis 1,2 and Paraskevas Tzallas 1,2,* 1 Foundation for Research and Technology—Hellas, Institute of Electronic Structure & Laser, PO Box 1527, GR71110 Heraklion (Crete), Greece; [email protected] (S.C.); [email protected] (E.S.); [email protected] (D.C.) 2 ELI-ALPS, ELI-Hu Kft., Dugonics ter 13, 6720 Szeged, Hungary; [email protected] (S.K.); [email protected] (G.S.); [email protected] (R.L.-M.); [email protected] (K.V.) 3 Physikalisches Institut der Albert-Ludwigs-Universität, Freiburg, Stefan-Meier-Str. 19, 79104 Freiburg, Germany 4 Dipartimento di Fisica Politecnico, Piazza Leonardo da Vinci 32, 20133 Milano, Italy 5 Laboratoire d’Optique Appliquée, ENSTA-ParisTech, Ecole Polytechnique, CNRS UMR 7639, Université Paris-Saclay, 91761 Palaiseau CEDEX, France; [email protected] 6 Department of Optics and Quantum Electronics, University of Szeged, Dóm tér 9., 6720 Szeged, Hungary 7 Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany; [email protected] * Correspondence: [email protected] Received: 25 February 2017; Accepted: 27 March 2017; Published: 31 March 2017 Abstract: Real-time observation of ultrafast dynamics in the microcosm is a fundamental approach for understanding the internal evolution of physical, chemical and biological systems. Tools for tracing such dynamics are flashes of light with duration comparable to or shorter than the characteristic evolution times of the system under investigation. -
Frequency Spectrum Generated by Thyristor Control J
Electrocomponent Science and Technology (C) Gordon and Breach Science Publishers Ltd. 1974, Vol. 1, pp. 43-49 Printed in Great Britain FREQUENCY SPECTRUM GENERATED BY THYRISTOR CONTROL J. K. HALL and N. C. JONES Loughborough University of Technology, Loughborough, Leics. U.K. (Received October 30, 1973; in final form December 19, 1973) This paper describes the measured harmonics in the load currents of thyristor circuits and shows that with firing angle control the harmonic amplitudes decrease sharply with increasing harmonic frequency, but that they extend to very high harmonic orders of around 6000. The amplitudes of the harmonics are a maximum for a firing delay angle of around 90 Integral cycle control produces only low order harmonics and sub-harmonics. It is also shown that with firing angle control apparently random inter-harmonic noise is present and that the harmonics fall below this noise level at frequencies of approximately 250 KHz for a switched 50 Hz waveform and for the resistive load used. The noise amplitude decreases with increasing frequency and is a maximum with 90 firing delay. INTRODUCTION inductance. 6,7 Literature on the subject tends to assume that noise is due to the high frequency Thyristors are now widely used for control of power harmonics generated by thyristor switch-on and the in both d.c. and a.c. circuits. The advantages of design of suppression components is based on this. relatively small size, low losses and fast switching This investigation has been performed in order to speeds have contributed to the vast growth in establish the validity of this assumption, since it is application since their introduction, when they were believed that there may be a number of perhaps basically a solid-state replacement for mercury-arc separate sources of noise in thyristor circuits. -
Harmonic Dualism and the Origin of the Minor Triad
45 Harmonic Dualism and the Origin of the Minor Triad JOHN L. SNYDER "Harmonic Dualism" may be defined as a school of musical theoretical thought which holds that the minor triad has a natural origin different from that of the major triad, but of equal validity. Specifically, the term is associated with a group of nineteenth and early twentieth century theo rists, nearly all Germans, who believed that the minor harmony is constructed in a downward ("negative") fashion, while the major is an upward ("positive") construction. Al though some of these writers extended the dualistic approach to great lengths, applying it even to functional harmony, this article will be concerned primarily with the problem of the minor sonority, examining not only the premises and con clusions of the principal dualists, but also those of their followers and their critics. Prior to the rise of Romanticism, the minor triad had al ready been the subject of some theoretical speculation. Zarlino first considered the major and minor triads as en tities, finding them to be the result of harmonic and arith metic division of the fifth, respectively. Later, Giuseppe Tartini advanced his own novel explanation: he found that if one located a series of fundamentals such that a given pitch would appear successively as first, second, third •.• and sixth partial, the fundamentals of these harmonic series would outline a minor triad. l Tartini's discussion of combination tones is interesting in that, to put a root un der his minor triad outline, he proceeds as far as the 7:6 ratio, for the musical notation of which he had to invent a new accidental, the three-quarter-tone flat: IG. -
Multiphonics of the Grand Piano – Timbral Composition and Performance with Flageolets
Multiphonics of the Grand Piano – Timbral Composition and Performance with Flageolets Juhani VESIKKALA Written work, Composition MA Department of Classical Music Sibelius Academy / University of the Arts, Helsinki 2016 SIBELIUS-ACADEMY Abstract Kirjallinen työ Title Number of pages Multiphonics of the Grand Piano - Timbral Composition and Performance with Flageolets 86 + appendices Author(s) Term Juhani Topias VESIKKALA Spring 2016 Degree programme Study Line Sävellys ja musiikinteoria Department Klassisen musiikin osasto Abstract The aim of my study is to enable a broader knowledge and compositional use of the piano multiphonics in current music. This corpus of text will benefit pianists and composers alike, and it provides the answers to the questions "what is a piano multiphonic", "what does a multiphonic sound like," and "how to notate a multiphonic sound". New terminology will be defined and inaccuracies in existing terminology will be dealt with. The multiphonic "mode of playing" will be separated from "playing technique" and from flageolets. Moreover, multiphonics in the repertoire are compared from the aspects of composition and notation, and the portability of multiphonics to the sounds of other instruments or to other mobile playing modes of the manipulated grand piano are examined. Composers tend to use multiphonics in a different manner, making for differing notational choices. This study examines notational choices and proposes a notation suitable for most situations, and notates the most commonly produceable multiphonic chords. The existence of piano multiphonics will be verified mathematically, supported by acoustic recordings and camera measurements. In my work, the correspondence of FFT analysis and hearing will be touched on, and by virtue of audio excerpts I offer ways to improve as a listener of multiphonics. -
The Fusion and Layering of Noise and Tone: Implications for Timbre In
The Fusion and Layering of Noise and Tone: Implications for Timbre in African Instruments Author(s): Cornelia Fales and Stephen McAdams Source: Leonardo Music Journal, Vol. 4 (1994), pp. 69-77 Published by: The MIT Press Stable URL: http://www.jstor.org/stable/1513183 Accessed: 03/06/2010 10:44 Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/action/showPublisher?publisherCode=mitpress. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. The MIT Press is collaborating with JSTOR to digitize, preserve and extend access to Leonardo Music Journal. http://www.jstor.org 4 A B S T R A C T SOUNDING THE MIND Since their earliest explora- The Fusion and Layering of Noise tions of Africanmusic, Western re- searchers have noted a fascination on the part of traditionalmusicians and Tone: Implicatons for Timbre for noise as a timbralelement. -
Fixed Average Spectra of Orchestral Instrument Tones
Empirical Musicology Review Vol. 5, No. 1, 2010 Fixed Average Spectra of Orchestral Instrument Tones JOSEPH PLAZAK Ohio State University DAVID HURON Ohio State University BENJAMIN WILLIAMS Ohio State University ABSTRACT: The fixed spectrum for an average orchestral instrument tone is presented based on spectral data from the Sandell Harmonic Archive (SHARC). This database contains non-time-variant spectral analyses for 1,338 recorded instrument tones from 23 Western instruments ranging from contrabassoon to piccolo. From these spectral analyses, a grand average was calculated, providing what might be considered an average non-time-variant harmonic spectrum. Each of these tones represents the average of all instruments in the SHARC database capable of producing that pitch. These latter tones better represent common spectral changes with respect to pitch register, and might be regarded as an “average instrument.” Although several caveats apply, an average harmonic tone or instrument may prove useful in analytic and modeling studies. In addition, for perceptual experiments in which non-time-variant stimuli are needed, an average harmonic spectrum may prove to be more ecologically appropriate than common technical waveforms, such as sine tones or pulse trains. Synthesized average tones are available via the web. Submitted 2010 January 22; accepted 2010 February 28. KEYWORDS: timbre, SHARC, controlled stimuli MOST modeling studies and experimental research in music perception involve the presentation or input of auditory stimuli. In many cases, researchers have aimed to employ highly controlled stimuli that allow other researchers to precisely replicate the procedure. For example, many experimental and modeling studies have employed standard technical waveforms, such as sine tones or pulse trains. -
Specifying Spectra for Musical Scales William A
Specifying spectra for musical scales William A. Setharesa) Department of Electrical and Computer Engineering, University of Wisconsin, Madison, Wisconsin 53706-1691 ~Received 5 July 1996; accepted for publication 3 June 1997! The sensory consonance and dissonance of musical intervals is dependent on the spectrum of the tones. The dissonance curve gives a measure of this perception over a range of intervals, and a musical scale is said to be related to a sound with a given spectrum if minima of the dissonance curve occur at the scale steps. While it is straightforward to calculate the dissonance curve for a given sound, it is not obvious how to find related spectra for a given scale. This paper introduces a ‘‘symbolic method’’ for constructing related spectra that is applicable to scales built from a small number of successive intervals. The method is applied to specify related spectra for several different tetrachordal scales, including the well-known Pythagorean scale. Mathematical properties of the symbolic system are investigated, and the strengths and weaknesses of the approach are discussed. © 1997 Acoustical Society of America. @S0001-4966~97!05509-4# PACS numbers: 43.75.Bc, 43.75.Cd @WJS# INTRODUCTION turn closely related to Helmholtz’8 ‘‘beat theory’’ of disso- nance in which the beating between higher harmonics causes The motion from consonance to dissonance and back a roughness that is perceived as dissonance. again is a standard feature of most Western music, and sev- Nonharmonic sounds can have dissonance curves that eral attempts have been made to explain, define, and quantify differ dramatically from Fig. -
Harmonic Spectrum of Output Voltage for Space Vector Pulse Width Modulated Ultra Sparse Matrix Converter
energies Article Harmonic Spectrum of Output Voltage for Space Vector Pulse Width Modulated Ultra Sparse Matrix Converter Tingna Shi * ID , Lingling Wu, Yan Yan and Changliang Xia ID School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China; [email protected] (L.W.); [email protected] (Y.Y.); [email protected] (C.X.) * Correspondence: [email protected]; Tel.: +86-22-27402325 Received: 19 January 2018; Accepted: 2 February 2018; Published: 8 February 2018 Abstract: In a matrix converter, the frequencies of output voltage harmonics are related to the frequencies of input, output, and carrier signals, which are independent of each other. This nature may cause an inaccurate harmonic spectrum when using conventional analytical methods, such as fast Fourier transform (FFT) and the double Fourier analysis. Based on triple Fourier series, this paper proposes a method to pinpoint harmonic components of output voltages of an ultra sparse matrix converter (USMC) under space vector pulse width modulation (SVPWM) strategy. Amplitudes and frequencies of harmonic components are determined precisely for the first time, and the distribution pattern of harmonics can be observed directly from the analytical results. The conclusions drawn in this paper may contribute to the analysis of harmonic characteristics and serve as a reference for the harmonic suppression of USMC. Besides, the proposed method is also applicable to other types of matrix converters. Keywords: ultra sparse matrix converter (USMC); space vector pulse width modulations (SVPWM); triple fourier series; harmonic analysis 1. Introduction The ultra-sparse matrix converter (USMC) evolved from the conventional matrix converter (CMC) and inherited many merits from CMC including compact structure without intermediate storage, sinusoidal input and output current, adjustable input power factor, etc. -
Surprising Connections in Extended Just Intonation Investigations and Reflections on Tonal Change
Universität der Künste Berlin Studio für Intonationsforschung und mikrotonale Komposition MA Komposition Wintersemester 2020–21 Masterarbeit Gutachter: Marc Sabat Zweitgutachterin: Ariane Jeßulat Surprising Connections in Extended Just Intonation Investigations and reflections on tonal change vorgelegt von Thomas Nicholson 369595 Zähringerstraße 29 10707 Berlin [email protected] www.thomasnicholson.ca 0172-9219-501 Berlin, den 24.1.2021 Surprising Connections in Extended Just Intonation Investigations and reflections on tonal change Thomas Nicholson Bachelor of Music in Composition and Theory, University of Victoria, 2017 A dissertation submitted in partial fulfilment of the requirements for the degree of MASTER OF MUSIC in the Department of Composition January 24, 2021 First Supervisor: Marc Sabat Second Supervisor: Prof Dr Ariane Jeßulat © 2021 Thomas Nicholson Universität der Künste Berlin 1 Abstract This essay documents some initial speculations regarding how harmonies (might) evolve in extended just intonation, connecting back to various practices from two perspectives that have been influential to my work. The first perspective, which is the primary investigation, concerns itself with an intervallic conception of just intonation, centring around Harry Partch’s technique of Otonalities and Utonalities interacting through Tonality Flux: close contrapuntal proximities bridging microtonal chordal structures. An analysis of Partch’s 1943 composition Dark Brother, one of his earliest compositions to use this technique extensively, is proposed, contextualised within his 43-tone “Monophonic” system and greater aesthetic interests. This is followed by further approaches to just intonation composition from the perspective of the extended harmonic series and spectral interaction in acoustic sounds. Recent works and practices from composers La Monte Young, Éliane Radigue, Ellen Fullman, and Catherine Lamb are considered, with a focus on the shifting modalities and neighbouring partials in Lamb’s string quartet divisio spiralis (2019). -
Fundamental Frequency Estimation
Fundamental frequency estimation summer 2006 lecture on analysis, modeling and transformation of audio signals Axel Robel¨ Institute of communication science TU-Berlin IRCAM Analysis/Synthesis Team 25th August 2006 KW - TU Berlin/IRCAM - Analysis/Synthesis Team AMT Part V: Fundamental frequency estimation 1/27 Contents 1 Pitch and fundamental frequency 1.1 Relation between pitch and fundamental frequency 1.2 Harmonic sound sources 2 Fundamental frequency estimation problem 3 Algorithms 3.1 direct evaluation of periodicity 3.2 frequency domain harmonic matching 3.3 spectral period evaluation 3.4 psycho acoustic approaches 3.5 Properties of the auditory processing model KW - TU Berlin/IRCAM - Analysis/Synthesis Team Contents AMT Part V: Fundamental frequency estimation 2/27 3.6 half wave rectification 3.7 Performance KW - TU Berlin/IRCAM - Analysis/Synthesis Team Contents AMT Part V: Fundamental frequency estimation 3/27 1 Pitch and fundamental frequency Pitch • perceived tone frequency of a sound in comparison with the perceptively best match with a pure sinusoid. fundamental frequency • inverse of the signal period of a periodic or quasi periodic signal, • spectrum contains energy mostly at integer multiples of the fundamental frequency. • the sinusoids above the fundamental are called the harmonics of the fundamental frequency. IRCAM - Analysis/Synthesis Team Contents AMT Part V: Fundamental frequency estimation 4/27 1.1 Relation between pitch and fundamental frequency • For many signals both terms are closely related, if the higher harmonics are strongly amplified due to formants the pitch may be located not at th first but a higher harmonic. • if a sound signal contains in-harmonically related sinusoids more then one pitch may be perceived while the signal is actually not periodic.