"Art of Diagram" is an ongoing Open Access publication project, which is based on the pictures/diagrams of the Virtual Museum "Sound Colour Space". The pictures of the virtual museum website (2017) are archived one-to-one in the media archive. The publication (print/ePub) is planned for 2022.
Led by Daniel Muzzulini (CH) and Susan F. Weiss (U.S.), an international group of scientists formed a study group "Musical Diagrams", officially installed at the International Musicological Society in September 2020. The "Art of Diagram"-online meetings of the study group and other materials are published here.
The epistemic shift underlying the Scientific Revolution may be traced in parallel developments in the mapping of musical and physical space. Circular diagrams in music theory texts reveal the influence of spatial and temporal disciplines, including astronomy, chronometry, geography, and navigation. If these sister disciplines had always been tied to music through musica mundana, their influence on the mapping of tonal space only intensified in the early 17th century, exhibiting a concurrent shift from symbolic to empirical representations. Zarlino's circular illustration of the senario, for example, legitimates the syntonic diatonic scale; its circular organization has nothing to do with tonal circularity, but rather with graphical logic and rhetoric. In contrast, circles by René Descartes, Quirinus van Blankenburg (based on work by Christian Huygens) and Isaac Newton present logarithmic circular divisions of the scale—approaches made possible by recent innovations by Simon Stevin and John Napier.
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Zürcher Hochschule der Künste
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09.12.2020
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3
"Art of Diagram"-Meeting Nr. 2
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Presentation of the Virtual Museum Sound Colour Space
Theinred of Dover (mid-12th century) proposed a new species theory accommodating chants requiring more chromatic tones than those available in the Guidonian gamut. Theinred presents his species first in tables; species of many intervals are also illustrated in circular and spiriform diagrams. The figures of concentric circles are organized with the spokes marking steps; individual species ascend clockwise. In the spiriform diagrams, the spirals mark steps; individual species ascend along the spokes from near center outward. To conclude his discussion, he presents series of conjunct diapentes and diatessarons, in a proportionally spaced table, resulting in Daseian and “anti-Daseian” scales, which can also be imagined as a pair of helices.
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Zürcher Hochschule der Künste
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09.12.2020
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1
Zarlino digital: The Art of Diagram
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Referat: Musik und Musikforschung im digitalen Wandel, Formum der Fakultät III, HMT Leipzig
Preparation meeting of the panel presentation at the annual conference of the Renaissance Society of America (2021). Changes in Visual and Material Culture as Revealed in Early Modern Printed Music Treatises