Circle of Fifths Guitar Scales
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Exploiting Prior Knowledge During Automatic Key and Chord Estimation from Musical Audio
Exploitatie van voorkennis bij het automatisch afleiden van toonaarden en akkoorden uit muzikale audio Exploiting Prior Knowledge during Automatic Key and Chord Estimation from Musical Audio Johan Pauwels Promotoren: prof. dr. ir. J.-P. Martens, prof. dr. M. Leman Proefschrift ingediend tot het behalen van de graad van Doctor in de Ingenieurswetenschappen Vakgroep Elektronica en Informatiesystemen Voorzitter: prof. dr. ir. R. Van de Walle Faculteit Ingenieurswetenschappen en Architectuur Academiejaar 2015 - 2016 ISBN 978-90-8578-883-6 NUR 962, 965 Wettelijk depot: D/2016/10.500/15 Abstract Chords and keys are two ways of describing music. They are exemplary of a general class of symbolic notations that musicians use to exchange in- formation about a music piece. This information can range from simple tempo indications such as “allegro” to precise instructions for a performer of the music. Concretely, both keys and chords are timed labels that de- scribe the harmony during certain time intervals, where harmony refers to the way music notes sound together. Chords describe the local harmony, whereas keys offer a more global overview and consequently cover a se- quence of multiple chords. Common to all music notations is that certain characteristics of the mu- sic are described while others are ignored. The adopted level of detail de- pends on the purpose of the intended information exchange. A simple de- scription such as “menuet”, for example, only serves to roughly describe the character of a music piece. Sheet music on the other hand contains precise information about the pitch, discretised information pertaining to timing and limited information about the timbre. -
Theoretical Study of Continuous-Variable Quantum Key Distribution Anthony Leverrier
Theoretical study of continuous-variable quantum key distribution Anthony Leverrier To cite this version: Anthony Leverrier. Theoretical study of continuous-variable quantum key distribution. Atomic Physics [physics.atom-ph]. Télécom ParisTech, 2009. English. tel-00451021 HAL Id: tel-00451021 https://pastel.archives-ouvertes.fr/tel-00451021 Submitted on 28 Jan 2010 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. École Doctorale d’Informatique, Télécommunications et Électronique de Paris Thèse présentée pour obtenir le grade de docteur de l’Ecole Nationale Supérieure des Télécommunications Spécialité : Informatique et Réseaux Anthony LEVERRIER Etude théorique de la distribution quantique de clés à variables continues. Soutenue le 20 novembre 2009 devant le jury composé de Pr. Joseph Boutros Examinateur Pr. Nicolas Cerf Examinateur Pr. Jean Dalibard Examinateur Pr. Philippe Grangier Directeur de thèse Pr. Renato Renner Rapporteur Pr. Jean-Pierre Tillich Rapporteur Pr. Gilles Zémor Directeur de thèse École Doctorale d’Informatique, Télécommunications et Électronique de Paris PhD THESIS prepared and presented at Graduate School of Telecom ParisTech A dissertation submitted in partial fulfillment of the requirements for the degree of DOCTOR OF SCIENCE Specialized in Network and Computer Science Anthony LEVERRIER Theoretical study of continuous-variable quantum key distribution. -
TEKNIK GRAFIKA DAN INDUSTRI GRAFIKA JILID 1 Untuk SMK
Antonius Bowo Wasono, dkk. TEKNIK GRAFIKA DAN INDUSTRI GRAFIKA JILID 1 SMK Direktorat Pembinaan Sekolah Menengah Kejuruan Direktorat Jenderal Manajemen Pendidikan Dasar dan Menengah Departemen Pendidikan Nasional Hak Cipta pada Departemen Pendidikan Nasional Dilindungi Undang-undang TEKNIK GRAFIKA DAN INDUSTRI GRAFIKA JILID 1 Untuk SMK Penulis : Antonius Bowo Wasono Romlan Sujinarto Perancang Kulit : TIM Ukuran Buku : 17,6 x 25 cm WAS WASONO, Antonius Bowo t Teknik Grafika dan Industri Grafika Jilid 1 untuk SMK /oleh Antonius Bowo Wasono, Romlan, Sujinarto---- Jakarta : Direktorat Pembinaan Sekolah Menengah Kejuruan, Direktorat Jenderal Manajemen Pendidikan Dasar dan Menengah, Departemen Pendidikan Nasional, 2008. iii, 271 hlm Daftar Pustaka : Lampiran. A Daftar Istilah : Lampiran. B ISBN : 978-979-060-067-6 ISBN : 978-979-060-068-3 Diterbitkan oleh Direktorat Pembinaan Sekolah Menengah Kejuruan Direktorat Jenderal Manajemen Pendidikan Dasar dan Menengah Departemen Pendidikan Nasional Tahun 2008 KATA SAMBUTAN Puji syukur kami panjatkan kehadirat Allah SWT, berkat rahmat dan karunia Nya, Pemerintah, dalam hal ini, Direktorat Pembinaan Sekolah Menengah Kejuruan Direktorat Jenderal Manajemen Pendidikan Dasar dan Menengah Departemen Pendidikan Nasional, telah melaksanakan kegiatan penulisan buku kejuruan sebagai bentuk dari kegiatan pembelian hak cipta buku teks pelajaran kejuruan bagi siswa SMK. Karena buku-buku pelajaran kejuruan sangat sulit di dapatkan di pasaran. Buku teks pelajaran ini telah melalui proses penilaian oleh Badan Standar Nasional Pendidikan sebagai buku teks pelajaran untuk SMK dan telah dinyatakan memenuhi syarat kelayakan untuk digunakan dalam proses pembelajaran melalui Peraturan Menteri Pendidikan Nasional Nomor 45 Tahun 2008 tanggal 15 Agustus 2008. Kami menyampaikan penghargaan yang setinggi-tingginya kepada seluruh penulis yang telah berkenan mengalihkan hak cipta karyanya kepada Departemen Pendidikan Nasional untuk digunakan secara luas oleh para pendidik dan peserta didik SMK. -
The Circle of Fifths
The Circle of Fifths Why a circle? The cyclical nature of musical notes Using a circle diagram to study music can be extremely helpful because of the mathematical beauty of music. In previous lessons, we have touched on the fact that musical notes repeat themselves in predictable patterns going up in pitch. When the sound wave frequency of any particular note is doubled, that same note is produced but at a higher pitch. That note is what we call an octave note; it is one octave above the note below which is half its frequency. You can view this in a linear way, visualizing the notes from left to right in a straight line, as we have done from time to time using the piano keyboard as a diagram: Fig. 1, the seven octaves of the 88-key piano keyboard. In this diagram, I have marked some C notes and A notes on the piano keyboard to illustrate how they repeat themselves, going higher in pitch as you move from left to right. The C note with a blue (cyan) background color is known as “middle C” or also as C4, because it appears in the fourth full octave contained on a standard 88 key keyboard. This C note is twice the sound frequency of the next lower C to the left (C3). It is half the sound frequency of the next highest C to the right (C5). The A note with a yellow background (A4) is important because it is the note most often used these days as the “concert pitch” – it is the note that is traditionally used for all instruments in an orchestra to tune to, so that everyone plays in tune together. -
Bridges Conference Paper
Bridges 2019 Conference Proceedings Make Music Visible, Play Mathematics Andrea Capozucca1 and Marco Fermani2 1University of Camerino, Italy; [email protected] 2Musician and composer, Potenza Picena, Italy; [email protected] Abstract The workshop is based on interdisciplinary and interactive activities that links mathematics and music and presents mathematical and musical ideas through hands-on and multisensorial approaches. Its goals are to encourage maths teachers to inspire students by making maths audible as well as visible, and music teachers to use a geometrical method to foster a new approach towards music theory. Participants learn how the creative discovery process can be used to form an atmosphere of experimentation and play that can positively affect people attitudes about mathematics, music and learning. Introduction Music and geometry has always had more contact points than we can ever imagine, but nevertheless music theorists has focused attention on counting and ratios. As the great 17th-century German mathematician Gottfried Leibniz wrote: “Music is the sensation of counting without being aware you were counting.” But there is more to this connection than counting. As the French baroque composer Rameau declared in 1722: “I must confess that only with the aid of mathematics did my ideas become clear.” So, is there really a link? Or is it crazy to try to connect the creative art of music with the steely logic of mathematics? Certainly the grammar of music – rhythm and pitch – has mathematical foundations. While the combinations of notes we have been drawn to over the centuries can all be explained through numbers, music is more than just notes and beats. -
25‹ Mhz Clock Continuous-Variable Quantum Key Distribution
www.nature.com/scientificreports OPEN 25 MHz clock continuous-variable quantum key distribution system over 50 km fiber channel Received: 10 February 2015 1 1 1 1 2 1,2 Accepted: 24 August 2015 Chao Wang , Duan Huang , Peng Huang , Dakai Lin , Jinye Peng & Guihua Zeng Published: 30 September 2015 In this paper, a practical continuous-variable quantum key distribution system is developed and it runs in the real-world conditions with 25 MHz clock rate. To reach high-rate, we have employed a homodyne detector with maximal bandwidth to 300 MHz and an optimal high-efficiency error reconciliation algorithm with processing speed up to 25 Mbps. To optimize the stability of the system, several key techniques are developed, which include a novel phase compensation algorithm, a polarization feedback algorithm, and related stability method on the modulators. Practically, our system is tested for more than 12 hours with a final secret key rate of 52 kbps over 50 km transmission distance, which is the highest rate so far in such distance. Our system may pave the road for practical broadband secure quantum communication with continuous variables in the commercial conditions. Quantum key distribution (QKD) is able to enable two remote participants to share unconditionally secure keys based on the laws of quantum mechanics1–3. By combining with one-time pad encryption, the QKD is promising for effectively ending the cat and mouse game between the guardians of secrets and their enemies4 and it has now become one of the most dynamic research fields. Since the first experi- mental demonstration of the QKD over 32-cm free-space channel in 19925, tremendous efforts have been made to keep pace with the demands in large-scale and broadband secure quantum communication6–11. -
Harmony Analysis
Workshop HfM Karlsruhe Music Information Retrieval Harmony Analysis Christof Weiß, Frank Zalkow, Meinard Müller International Audio Laboratories Erlangen [email protected] [email protected] [email protected] Book: Fundamentals of Music Processing Meinard Müller Fundamentals of Music Processing Audio, Analysis, Algorithms, Applications 483 p., 249 illus., hardcover ISBN: 978-3-319-21944-8 Springer, 2015 Accompanying website: www.music-processing.de Book: Fundamentals of Music Processing Meinard Müller Fundamentals of Music Processing Audio, Analysis, Algorithms, Applications 483 p., 249 illus., hardcover ISBN: 978-3-319-21944-8 Springer, 2015 Accompanying website: www.music-processing.de Chapter 5: Chord Recognition 5.1 Basic Theory of Harmony 5.2 Template-Based Chord Recognition 5.3 HMM-Based Chord Recognition 5.4 Further Notes In Chapter 5, we consider the problem of analyzing harmonic properties of a piece of music by determining a descriptive progression of chords from a given audio recording. We take this opportunity to first discuss some basic theory of harmony including concepts such as intervals, chords, and scales. Then, motivated by the automated chord recognition scenario, we introduce template-based matching procedures and hidden Markov models—a concept of central importance for the analysis of temporal patterns in time-dependent data streams including speech, gestures, and music. Dissertation: Tonality-Based Style Analysis Christof Weiß Computational Methods for Tonality-Based Style Analysis of Classical Music Audio Recordings Dissertation, Ilmenau University of Technology, 2017 Chapter 5: Analysis Methods for Key and Scale Structures Chapter 6: Design of Tonal Features Recall: Chroma Features . Human perception of pitch is periodic . -
Is CBS 1766 a Tone-Circle?
1 Is CBS 1766 a Tone-Circle? by Sara de Rose Abstract This paper illustrates how the heptagram on tablet CBS 1766 can be derived as a geometric/numeric pattern when creating a 12-tone scale by reducing perfect fifths. It also shows that the sequence 4,1,5,2,6,3,7, generated by following the diagonals of the heptagram on CBS 1766, explains the construction of the diatonic scale. The paper suggests that the sequence 4,1,5,2,6,3,7 was originally derived from the 12-tone scale and then later re-applied, intentionally, to create the diatonic scale. It is suggested that this re-application of the sequence 4,1,5,2,6,3,7 to create the diatonic scale was, in fact, an analogy, in the original sense of the word (i.e. a comparison based on number) and that a series of further analogies using the sequence 4,1,5,2,6,3,7 were also created – analogies that extended beyond the practical applications of music. Finally, the paper shows that the sequence 4,1,5,2,6,3,7 has a role, today, in teaching music theory, for it is, quite literally, what musicians call the key . 2 Is CBS 1766 a Tone-Circle? 1 In New Light on the Babylonian Tonal System , Figure 1: CBS 1766 L. Crickmore suggests that musicologists pose the question “could CBS 1766 be the earliest known example of a tone-circle?” This paper explores that possibility. There are two assumptions that I will make before exploring the diagram on CBS 1766 as relating to a tone-circle. -
AMM Study with Arcosys 2018
[email protected] SPECIAL RESEARCH PROJECT: www.MuK.ac.at www.JuraMargulis.com www.PianistToPianist.com Musical Performance Memory with Ar.Co.Sys, a Musical Mnemonic Method (AMMM) AMMM was introduced in 2017 in the last year of the International Piano Academy Freiburg, continued as a special research project of the IWF (Institut für Wissenschaft und Forschung) at the MuK Vienna University in 2018, and features a multi-year study of a methodology specially developed to analyze and train the pianist musician’s onstage performance memory. It draws on the millennium old knowledge of mnemonics, the art and science of memorization, as well as recent cognitive, psychological, and scientific research, and introduces a completely innovative aspect: The creation and methodical development of ArCoSys ~ Artificial ‘Color Synesthesia’ (or ‘Chromesthesia’, or ‘sound-color synesthesia’) chromatically applied to the primary harmonic relations of the Circle of Fifths. The integration of ArCoSys systematically into a multilayered retrieval structure by repetition with purpose is the object of study and foundation of the ArCoSys Musical Mnemonic Method. AMMM is a voluntary and feed-back based open study with a growing number of participants; students and professionals from all institutions are welcome to participate.* • Repeon is the mother of memory. But retrieval structure is its father! Mul-Integraonal Neuro-Synapc Coding - a fancy name for part of a process that can be used to specifically train and improve musical performance memory which remains a challenge for most aspiring internaonal concert pianist and recording arst as well as for the myrmidons of the musical world. As we know from the study of memory, mnemonics, it is the development of a retrieval structure that enables access to a large amount of data. -
Letter Circular 987: Color Harmony: an Annotated Bibliography
BBJ : EMR U. S. DEPARTMENT OF COMMERCE Letter NATIONAL BUREAU OF STANDARDS Circular;: WASHINGTON LC987 May 10. 1950 (Supersedes LC525) COLOR HARMONY : An Annot ated Bibl i ography This Bureau has not conducted any work on color harmony; it does not issue color charts showing what combinations of colors are har- monious. The combination of various colors in pleasing ways is the concern of the artist, the architect, the landscape architect, the interior decorator, and the textile designer. The following bibli.graphy on color harmony not only serves to indicate some important sources of information but also to give a summary of the several conclusions reached. Contradictions between conclusions by the various authori- ties are not infrequent, and, indeed, are to be expected because of the complexity of the subject. Rumford, Nicholson’s Journal, Vol. 2, pp, 101-106, 1797. Rum- ford’s rule: Two neighboring colors are in perfect harmony,- ..id then only,- when their mixture results in perfect white. W. v. Goethe, Zur Farbenlehre (On the science of color), Vol, 1, Cotta, Tubingen, p. 301, 1810. If the eye perceives a color, there immediately appears another co„or which, with the first, represents the totality of the hie circle. Hence, one ’ solated color excites in the eye the need to see the general group. Here is the basis of the fundamental law of color harmony. Yellow demands reddish-ol le, blue demands orange, and purple demands green. The view of the whole hue circle causes an agreeable sensation. Field, Chromatics, London, 1815. Field’s rule for a good com- bination: The separate colors must be so chosen and their areas so adjusted that their mixture, or the result by viewing from a gre. -
Pemetaan Pola Progresi Chord Berdasarkan Kombinasi Interval
Pemetaan Pola Progresi Chord Berdasarkan Kombinasi Interval Ilham Pamuji Institut Seni Budaya Indonesia (ISBI) Bandung Jl. Buah-Batu No.212, Cijagra, Lengkong, Kota Bandung 40265 [email protected] ABSTRACT Various phenomena, concepts and theories in music can be explained by mathematics. Moreover, it can be an approach in the process of song creation, composition, or music arrangement. Related to this, this study discusses the mapping of chord progressions based on interval combinations in chromatic circles. To be more specific, by connecting the musical notes with lines that represent various combinations of two specific types of intervals into a series of notes (chord progression patterns) in one loop ( starts and ends at note C). The interval combination pattern refers to the smallest size, namely m2 (minor second /minor second, 1 semitone step). This research was conducted to produce various patterns of unconventional chord progression patterns viewed through a tonal harmony system. This research is motivated by the strong influence of the tonal harmony system limiting creativity in the music creation process. Therefore, it takes an approach, method, or other system that needs to be tested to get out of the system. The result of this research is that there are 32 variations of chord progression patterns (series of notes) which are summarized in geometric shapes. By comparing the geometric shapes, the patterns appear mathematically, systematic, and symmetrical. In its application, these patterns seem unconventional, come out of a tonal harmony system (it can still be studied through the system, depending on the chord shape used) and produce a unique sound. Keywords: chord progression, interval, chromatic circle, music creation PENDAHULUAN matematis pada unsur atau formula A. -
The Geometry of Tonal Space
BRIDGES Mathematical Connections in Art, Mnsic, and Science Hearing With Our Eyes: The Geometry of Tonal Space Julian L. Hook School of Music Penn State University University Park, PA 16802-1901 E-mail: [email protected] There is no intrinsic reason why musical structures should be represented graphically. Music is, after aU, an auditory phenomenon. It consists of vibrations transmitted through the air as sound waves, received by our ears and processed by our brains as acoustic data. Visual aspects of music-the arrangement of musicians on a stage or of notes on a page, the gyrations of the conductor, the shine of the piano-are of secondary importance in our understanding and appreciation of a musical work. Most human beings, however, are visually oriented. We rely on our eyes more than our ears or any of our other sense organs in finding our way around, identifying other people and objects, and learning new information. Because of this dependence on the visual world, most people find abstract concepts easier to grasp if they can somehow be visualized: if some sort of graphical, geometric representation can be devised showing, if only metaphorically, the important elements of the conceptual framework and their relationships with each other. Even if these elements exist in sound and time rather than in light and space, such a representation may help us to get our bearings and to interpret what we hear. Pitches, chords, and key areas are examples of musical elements that lend themselves well to graphical depiction. Many music theorists through the centuries have drawn diagrams showing the appearance of "tonal space" from various perspectives.