Some Interesting Keyboards
Some books about music refer to a persistent "myth" that it is possible, using only two keyboards, to construct an instrument on which it is possible to play music in any key using just intonation. Indeed, it is true that it is not possible, with only 24 keys to the octave, to construct an instrument that will play in perfect just intonation in every key. However, it is possible to exhibit an example of the type of keyboard that has given rise to this "myth", so that its capabilities, as well as its limitations, can be seen. Thus, what may be constructed with 24 keys to the octave is a keyboard which allows playing diatonic music in just intonation in any of the twelve conventionally designated keys, even if nothing can be ensured concerning the pitch of accidentals, and with the provision that one has to make a jump in pitch when one transposes around the far end of the circle of fifths. This will be shown explicitly below.
Laboratory of Humanities
Thomas de Aquino Byzantinus (cod. Metochii Sancti Sepulchri 415 (XVI s.), f. 1r; Thomas de Aquino, Summa contra Gentiles, Lib. I, cap. 1, translated by Demetrios Cydones) Object and Aims
Bach's Invention No. 1: Analysis
copyright © 2002 by Larry Solomon J S Bach's first two-part invention in C major is a keyboard work in which the music is "invented" by means of thematic transformations of a short, simple figure, called the subject, S. This subject is divided into two motives, a and b. The a motive consists of a rising 4-note scale beginning off the beat and ending on the next beat, a ubiquitous figure in Bach's music. The b motive, also 4-notes and rhythmically identical to a, turns with every note.
A different way to visualize rhythm - John Varney
To learn more on circular perceptions of rhythm with specific reference to African music, read this paper and then watch this Five(ish) Minute Drum Lesson on African Drumming. How has drumming played an essential role in African culture? What do specific rhythms represent?
Gutenberg
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How to Study the Two-Voiced Inventions of Bach - Music Of Yesterday
By Ernest Hutcheson Probably no single work known to teachers and students of the piano is more constantly used than the inventions of Bach. The lapse of time since they were written has served but to enhance our recognition of their musical and technical value; no substitute for them has been found or even suggested. The beginner may sometimes, in his haste, deny Bach and heatedly call them “Inventions of the Devil”; on the other hand, the teacher is abidingly grateful for a work which he can hear endlessly and often execrably repeated without loss of the interest and admiration it inspires. Yet few persons thoroughly understand the Inventions. To do so is to have made a significant step toward real musicianship, and no student should be content to rattle through these masterly miniatures without seriously trying to grasp their meaning and appreciate the beauty of their workmanship.
Music theory
Music theory considers the practices and possibilities of music. It is generally derived from observation of how musicians and composers actually make music, but includes hypothetical speculation. Most commonly, the term describes the academic study and analysis of fundamental elements of music such as pitch, rhythm, harmony, and form, but also refers to descriptions, concepts, or beliefs related to music. Because of the ever-expanding conception of what constitutes music (see Definition of music), a more inclusive definition could be that music theory is the consideration of any sonic phenomena, including silence, as it relates to music.
Books and Titles
Art | Economics | History | Law | Literature | Music | Philosophy | Political Theory | Religion | Science | Sociology | War and Peace Alphabetical List of all Titles | Liberty Fund Books online These are places to go to if you are looking for books, articles, pamphlets, audio, and other titles: Title search by key wordSee the 20 most recently added booksView an alphabetical list of all titlesTitles are organized into “collections” such as: Subject Areas or Disciplines [see below for a list]Topics of a more specialized nature, for example Free TradeSpecial Collections of high scholarly note, such as the Ludwig von Mises Library and the Toronto University Press edition of The Collected Works of John Stuart MillOther Collections, such as Primary Sources and the works of the Founding fathers of the American Republic and the U.S.
Barry Harris: Exploring the Diminished by Vera Marijt
How can the transcriptions I made of Barry Harris' workshops and recordings be incorporated in my playing, in order to develop myself in a bebop style? I transcribed two DVD boxes containing 8 discs of over 8 hours of workshops by pianist Barry Harris that were recorded and published by Howard Rees. Furthermore, I transcribed about 54 video's of Barry Harris that were published on the website, www.franselsen.com, and several solo's of him.
How maths helps us understand why music moves people
Music is known to provoke the senses, give pleasure and sometimes move people to tears. Surely this has little to do with mathematical models which are so frequently associated with cold and rational logic. So what can maths tell us about this powerful phenomenon closely connected to the emotions? Can mathematics help us measure what’s sublime or ineffable about a piece of music?
Bibliotheca Palatina – digital: A Virtual Reconstruction of the Former Crown Jewel of Germany's Libraries
One of the consequences of the Thirty Years' War was that the most important collection of books in the 17th century Holy Roman Empire, the Bibliotheca Palatina, was divided between two principal locations: Heidelberg and the Vatican. Since 2001, Heidelberg University Library has been working on several projects that aim to digitize parts of this great collection, the final goal being a complete virtual reconstruction of the 'mother of all libraries'. ‘A unique treasure is digitally reconstructed’ – the digitization of the Palatini latini in Rome is successcully completed. (Press release of Heidelberg University, 09.02.18)
