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2 edition of Space structures; their harmony and counterpoint found in the catalog.

Space structures; their harmony and counterpoint

Arthur Lee Loeb

Space structures; their harmony and counterpoint

with a foreword by Cyril Stanley Smith.

by Arthur Lee Loeb

  • 186 Want to read
  • 21 Currently reading

Published in Reading, Mass., Addison Wesley Pub. Co., Advanced Book Program, 1976 .
Written in English

    Subjects:
  • Polyhedra

  • Edition Notes

    Includes index. Bibliography: p. 163-164.

    The Physical Object
    Paginationxviii, 169 p. ill. ;
    Number of Pages169
    ID Numbers
    Open LibraryOL21622003M

      The author shows how harmony and counterpoint can be described as efficient movements in higher dimensional space. And then he uses this as a model to show how music from different eras are actually s: texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. Books to Borrow. Top Full text of "Books On Music Theory (Harmony, Counterpoint, Orchestration) [in English], Jazz Too" See other formats.

    More generally, a shadow is a projection of a 3-dimensional object into a 2-dimensional space (and even more generally, of an n dimensional space into and n-1 dimensional space). Sometimes one focuses only on the shadows, as in the case of the eclipse. Sometimes one focuses only on the object itself. When I was about 15 years old, I decided I wanted to be a composer, rather than a physicist or mathematician. I had recently switched from classical piano to electric guitar, and although I exhibited no obvious signs of compositional talent, I was fascinated by the amazing variety of twentieth-century music: the suavely ferocious Rite of Spring, which made tubas sound cool; the encyclopedic.

    The Geometry of Musical Chords. Dmitri Tymoczko, Science (). Provides a geometrical model of musical structure, and uses this model to explain how harmony and counterpoint can . Notice that when the cantus firmus is in the upper voice, the most common suspension, as shown in the second system, is a suspension, where a second on the down beat resolves into a consonant third on the offbeat. Chains of suspensions are very expressive! Here is another example of fourth species counterpoint. It indicates how the voice on the downbeat is a preparation (P) and how the.


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Space structures; their harmony and counterpoint by Arthur Lee Loeb Download PDF EPUB FB2

Space Structures: Their Harmony and Counterpoint by Arthur L. Loeb and a great selection of related books, art and collectibles available now at Additional Physical Format: Online version: Loeb, Arthur L. (Arthur Lee). Space structures--their harmony and counterpoint. Reading, Mass.: Addison Wesley Pub.

Space structures--their harmony and counterpoint. Boston: Birkhäuser, (OCoLC) Material Type: Internet resource: Document Type: Book. Space Structures--Their Harmony and Counterpoint by Loeb, Arthur L.

Paperback available at Half Price Books®   The book has a simple fundamental quality of viewpoint and treatment that gives it an unusually widespread applicability for those who share a common interest in analyzing and designing spatial structures or networks. Architects, crystallographers, artists interested in aspects of design science - as well as mathematicians, physicists, chemists.

Book Review: Space structures: their harmony and counterpoint. by A. Loeb, Addison-Wesley, Reading, Massachusetts,pp. xviii +clothpaper adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. Arthur Lee Loeb (13 JulyAmsterdam – 19 JulyCambridge, Massachusetts) was a Dutch scientist and crystallographer.

He arrived to the U.S. during World War II, completed his undergraduate studies at the University of Pennsylvania inand his Ph.D. in Chemical Physics at Harvard University in Loeb taught at the Massachusetts Institute of Technology in the early part of. The book shows how to construct simple diagrams representing relationships among familiar chords and scales, giving readers the tools to translate between the musical and visual realms and revealing surprising degrees of structure in otherwise hard-to-understand pieces.

In his book, Space Structures, Their Harmony and Counterpoint,[1] Arthur Loeb analyzes Dirichelt Domains (Voronoi diagram) in such a way that space-filling polyhedra can be distorted (non-symmetrical) without changing the essential nature of the relations within structure.

More recent books are Arthur Loeb's Space Structures: Their Harmony and Counterpoint (Addison-Wesley, ) and Shaping Space, edited by Marjorie Senechal and George Fleck (Birkhäuser, ). Another reference for the coordinate geometry of four dimensions is Linear Algebra through Geometry by Thomas Banchoff and John Wermer (Springer-Verlag.

A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory) [Tymoczko, Dmitri] on *FREE* shipping on qualifying offers. A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory)Reviews: In music, harmony is the process by which the composition of individual sounds, or superpositions of sounds, is analysed by hearing.

Usually, this means simultaneously occurring frequencies, pitches (tones, notes), or chords. The study of harmony involves chords and their construction and chord progressions and the principles of connection that govern them.

A search for structure: selected essays on science, art, and history: The Sorby Centennial Symposium on the History of Metallurgy, Cleveland, Ohio, October; [proceedings] Sources for the history of the science of steel Space structures: their harmony and counterpoint: Structure and properties of solid surfaces.

- Buy A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory) book online at best prices in India on Read A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory) book reviews & author details and more at Free delivery on Reviews: “Space is not a passive vacuum, but has properties that impose powerful constraints on any structure that inhabits it.” Arthur Loeb, Space Structures, Their Harmony and Counterpoint, Printing is not supported at the primary Gallery Thumbnail page.

Please first navigate to. In music, harmony considers the process by which the composition of individual sounds, or superpositions of sounds, is analysed by hearing.

Usually, this means simultaneously occurring frequencies, pitches (tones, notes), or chords. [1] The study of harmony involves chords and their construction and chord progressions and the principles of connection that govern them.

When this is the case, the harmony and melody are broken into two separate functions. One person is responsible for the melody, one person is responsible for the harmony. Counterpoint, especially (bach) fugues, have the potential for incredibly complicated harmonic structure.

These pieces typically have voices (even 6 in one example). J.S. Bach believed deeply in the power and integrity of contrapuntal music; in this sense he was something of an anti-hero relative to his own time and to developing trends of that era.

We tend to identify 'Baroque' with 'Bach,' but really the mus. This is the best book on modal counterpoint, hands down. He breaks the process into simple steps and has very clear rules to follow. Twentieth-Century Harmony: Creative Aspects and Practice by Vincent Persichetti.

A great resource to break out of traditional harmony. An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio. An illustration of a " floppy disk. Software. An illustration of two photographs.

Full text of "Counterpoint: the polyphonic vocal style of the sixteenth century;".Harmony and Counterpoint in the Ligeti Etudes, Book I: An Analysis and Performance Guide family, friends, colleagues, and other faculty members.

Space would not permit an exhaustive list of all the people who have been a guide, cheerleader, or supporter, in big and small ways. Regarding the first book of etudes, counterpoint has been. This book is a fantastic introduction to ideas related to neo-Riemannian theory.

While the author focuses his theory on tertian harmony, the geometrical models he presents would also be applicable to other styles. The one downside to this book is the author's emphasis on the worth of tonal music as opposed to other styles such as atonality/5(9).