Book Review. Ski-hill Graph Pedagogy Meter Fundamentals.
Andrea Calilhanna
Mathematical Music Theory - Music for everyone through mathematics fundamentals
TITLE INFORMATION
SKI-HILL GRAPH PEDAGOGY METER FUNDAMENTALS
Andrea M. Calilhanna Xlibris AU (160 pp.)
$34.99 paperback ISBN: 9798369490082
January 3, 2024
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BOOK REVIEW
'It’s time to change the way we teach and talk about musical meter, according to this intricate
primer. Calilhanna, an Australian musicologist and music teacher, argues that conventional time signatures—3/4, 4/4, and so forth—fail to convey important information about the metrical nuances of music. To correct this, she has adapted the theories of Yale musicologist Richard Cohn into a practical handbook for teaching meter to kids. Her system has students listen carefully to pieces of music, clap and tap out all the metrical “pulses” they can hear, and then map them in several graphical formats, including a “ski hill” graph that arranges all the combinations of basic 2:1 and 3:1 meters in a pyramid; a linear graph that layers different pulses on top of each other; and a circular graph inscribed with polygons that represent the pulses. (An analysis of “Twinkle, Twinkle, Little Star” identifies four metrical pulses.) The author illustrates her process with several pieces of music, from simple tunes to more complex hemiola (3:2) meters, African tresillo meters, and syncopated swing meters. Calilhanna backgrounds all of this with an engaging tour of musicology, acoustics, and cognitive science, attributing many benefits to her method of understanding meter—it helps kids understand math, develop critical-thinking skills, and gain confidence in performing, she contends, asserting that it also captures the metrical complexities of world music better than Western time signatures do. Aimed at music teachers, Calilhanna’s prose often has a dry, academic feel, but she sometimes conveys a stirring passion for the subject. (“How can meter theory with inaccurate representation of music, be inclusive or ethical? It cannot.”) Her approach does make explicit a wealth of complex information that can’t be derived from a simplistic time signature, and that will aid learners in comprehending music. Instructors and students will be intrigued by her insights.
A dense but revelatory treatise and guide to musical time and rhythm.'
Mathematical Music Theory - Music for everyone through mathematics fundamentals
6 个月Thank you Masashi and Rodrigo!