A pioneering call for a new understanding of scale across the humanities How is it possible that you are—simultaneously—cells, atoms, a body, quarks, a component in an ecological network, a moment in the thermodynamic dispersal of the sun, and an element in the gravitational whirl of galaxies? In this way, we routinely transform reality into things already outside of direct human experience, things we hardly comprehend even as we speak of DNA, climate effects, toxic molecules, and viruses. How do we find ourselves with these disorienting layers of scale? Enter Scale Theory, which provides a foundational theory of scale that explains how scale works, the parameters of scalar thinking, and how scale refigures reality—that teaches us how to think in terms of scale, no matter where our interests may lie. Joshua DiCaglio takes us on a fascinating journey through six thought experiments that provide clarifying yet provocative definitions for scale and new ways of thinking about classic concepts ranging from unity to identity. Because our worldviews and philosophies are largely built on nonscalar experience, he then takes us slowly through the ways scale challenges and reconfigures objects, subjects, and relations. Scale Theory is, in a sense, nondisciplinary—weaving together a dizzying array of sciences (from nanoscience to ecology) with discussions from the humanities (from philosophy to rhetoric). In the process, a curious pattern emerges: attempts to face the significance of scale inevitably enter terrain closer to mysticism than science. Rather than dismiss this connection, DiCaglio examines the reasons for it, redefining mysticism in terms of scale and integrating contemplative philosophies into the discussion. The result is a powerful account of the implications and challenges of scale, attuned to the way scale transforms both reality and ourselves.

In the Fourth Edition of Scale Development, Robert F. DeVellis demystifies measurement by emphasizing a logical rather than strictly mathematical understanding of concepts. The text supports readers in comprehending newer approaches to measurement, comparing them to classical approaches, and grasping more clearly the relative merits of each. This edition addresses new topics pertinent to modern measurement approaches and includes additional exercises and topics for class discussion. Available with Perusall—an eBook that makes it easier to prepare for class Perusall is an award-winning eBook platform featuring social annotation tools that allow students and instructors to collaboratively mark up and discuss their SAGE textbook. Backed by research and supported by technological innovations developed at Harvard University, this process of learning through collaborative annotation keeps your students engaged and makes teaching easier and more effective. Learn more.

For many years, Karel Berka has worked at some of the central problems of the theory of the sciences. At once a logician, a mathematician, a careful student of the physical sciences and the social sciences, and a sharp but sympathetic critic of the major philosophies of science in this century, Berka brings to this treatise on measurement both his technical mastery and his historical sensitivity. We appreciate his careful analysis of his predecessors, notably Helmholtz, Campbell, Holder, Bridgman, Camap, Hempel, and Stevens, and of his contemporaries such as Brian Ellis and also Patrick Suppes and J. L. Zinnes. The issues to be clarified are familiar but still troubling: how to justify the conceptual transition from classification to a metric; how to explore ways to provide a quantitative understanding of a qualitative concept; indeed how to understand, and thereby control, the Galilean enthusiasm "to measure what is measurable and to try to render measurable what is not so as yet".

The problem of scale pervades both the natural sciences and the vi sual arts. The earliest scientific discussions concentrate on visual per ception (much like today!) and occur in Euclid's (c. 300 B. C. ) Optics and Lucretius' (c. 100-55 B. C. ) On the Nature of the Universe. A very clear account in the spirit of modern "scale-space theory" is presented by Boscovitz (in 1758), with wide ranging applications to mathemat ics, physics and geography. Early applications occur in the cartographic problem of "generalization", the central idea being that a map in order to be useful has to be a "generalized" (coarse grained) representation of the actual terrain (Miller and Voskuil 1964). Broadening the scope asks for progressive summarizing. Very much the same problem occurs in the (realistic) artistic rendering of scenes. Artistic generalization has been analyzed in surprising detail by John Ruskin (in his Modern Painters), who even describes some of the more intricate generic "scale-space sin gularities" in detail: Where the ancients considered only the merging of blobs under blurring, Ruskin discusses the case where a blob splits off another one when the resolution is decreased, a case that has given rise to confusion even in the modern literature.

Comprehensive textbook based on the Chord Scale Theory as taught at the Berklee College of Music.

The most highly-acclaimed jazz theory book ever published! Over 500 pages of comprehensive, but easy to understand text covering every aspect of how jazz is constructed---chord construction, II-V-I progressions, scale theory, chord/scale relationships, the blues, reharmonization, and much more. A required text in universities world-wide, translated into five languages, endorsed by Jamey Aebersold, James Moody, Dave Liebman, etc.

Covers everything novice musicians and lifelong learners need to know. Full of music trivia, music history, comprehensive instruction and visual aids, music symbols, and chords throughout. This is a crash course in music theory that even professionals will enjoy.

Do you love sitting at home playing guitar, but find yourself playing the same old things over and over without making much progress? When other musicians invite you to jam, do you worry that you won’t be able to keep up? Are you a veteran guitarist who has played for years, but you’re embarrassed to admit you have no idea what you’re doing? If you want to take your guitar playing to the next level, compose songs like you hear on the radio, and improvise your own music, then you need Fretboard Theory. Fretboard Theory by Desi Serna teaches music theory for guitar including scales, chords, progressions, modes and more. The hands-on approach to theory shows you how music "works" on the guitar fretboard by visualizing shapes and patterns and how they connect to make music. Content includes: * Learn pentatonic and major scale patterns as used to play melodies, riffs, solos, and bass lines * Move beyond basic chords and common barre chords by playing the types of chord inversions and chord voicings used by music's most famous players * Chart guitar chord progressions and play by numbers like the pros * Identify correct scales to play over chords and progressions so you can improvise at will * Create new sounds with music modes and get to know Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian * Add variety to your playing by using intervals such as thirds, fourths, and sixths * Increase your chord vocabulary by using added chord tones and extensions to play chord types such as major 7, minor 7, sus2, sus4, add9, and more * Learn how all the different aspects of music fit together to make a great song * See how theory relates to popular styles of music and familiar songs Fretboard Theory will have you mastering music like a pro easier and faster than you ever thought possible. Plus, it's the ONLY GUITAR THEORY RESOURCE in the world that includes important details to hundreds of popular songs. You learn how to play in the style of pop, rock, acoustic, blues, and more! This guitar instruction is perfect whether you want to jam, compose or just understand the music you play better. The material is suitable for both acoustic and electric guitar, plus it features many references to bass. Level: Recommended for intermediate level players on up. Video Fretboard Theory is also available as a 21-hour video series that is sold separately on the author's GuitarMusicTheory.com website. Visit the website and sign up for email lessons to sample the footage. Fretboard Theory Volume II When you're ready to take your playing to the next level, get the second book in the series, Fretboard Theory Volume II, which is also available as a 12-hour video series.