Although many terminologies, taxonomies and also first ontologies for visualization have been suggested, there is still no unified and formal knowledge representation including the various fields of this interdisciplinary domain. We moved a step towards such an ontology by systematically reviewing existing models and classifications, identifying important fields and discussing inconsistently used terms. Finally, we specified an initial visualization ontology which can be used for both classification and synthesis of graphical representations. Our ontology can also serve the visualization community as a foundation to further formalize, align and unify its existing and future knowledge.

Although many terminologies, taxonomies and also first ontologies for visualization have been suggested, there is still no unified and formal knowledge representation including the various fields of this interdisciplinary domain. We moved a step towards such an ontology by systematically reviewing existing models and classifications, identifying important fields and discussing inconsistently used terms. Finally, we specified an initial visualization ontology which can be used for both classification and synthesis of graphical representations. Our ontology can also serve the visualization community as a foundation to further formalize, align and unify its existing and future knowledge.

Die Dissertation liefert eine Neuinterpretation des theoretischen Hauptziels der Harmonischen Elemente des Aristoxenos, sofern in der späten Herausbildung seines Dynamis-Begriffs unstrittig die zentrale Konzeption eines Wissens von der Musik liegt. Im Unterschied zur vorherrschenden Lehrmeinung und den bisherigen, vornehmlich musikhistorisch und philosophiegeschichtlich argumentierenden Ansätzen, welche die Innovationen des Aristoxenos auf die Befolgung der Methodik seines Lehrers Aristoteles und einer wissenschaftlichen Ferne von den Pythagoreern zurückführen, kommt die vorliegende, hauptsächlich medientheoretisch vorgehende Untersuchung zu dem gegenteiligen Ergebnis, dass (i) die Dynamis des Aristoxenos der Metaphysik des Aristoteles eklatant widerspricht und (ii) allein aus einer weiter gefassten Ontohistorie der griechischen Mousa-Kultur und deren philosophischen Verarbeitung durch den späten, pythagoreisierenden Platon in ihrer musiktheoretischen Relevanz hinreichend erkannt und in ihrer epistemologischen Signifikanz ausreichend gewürdigt werden kann. Für den Ansatz gilt zum einen, ernst zu nehmen, wie die in ihrer Vehemenz und Absolutheit bislang unverstandene Kritik an der Musiknotation aus der erstmaligen Einbeziehung der Melodie in die Wissenschaft von der Harmonie resultiert und entsprechend die radikalen Konsequenzen zu verfolgen, wie durch diese Verzeitlichung die Theorie der Musik insgesamt zu einer logisch-technischen Betrachtung eines harmonischen Prozesses wird, der unweigerlich mit virtuellen Entitäten operieren muss. Zum anderen sieht sich die Arbeit gezwungen, weit auszuholen, um kulturtechnisch auf die epistemogenen Momente der Erfindung des Alphabets und der Entdeckung des Inkommensurablen einzugehen, sowie philologisch das Pythagoreerbild des Aristoteles zu korrigieren. Beides zusammen führt ferner auf die Notwendigkeit, einen ‚zeiteigenen Sinn der Geschichte‘ zu postulieren und methodisch eine ‚doppelt negative Medienarchäologie‘ zu entwickeln. / This dissertation provides a reinterpretation of the major goal of Aristoxenus’ Harmonic Elements, inasmuch as it is beyond dispute that his late notion of dynamis constitutes the pivotal conception for a scientific understanding of music. Up to now the prevailing doctrine and a primarily music-historical arguing underpinned by a common approach to the history of philosophy holds that the innovations of Aristoxenus were to be explained by reference to the methodology obtained from his teacher Aristotle and the scientific distance taken from the Pythagoreans. By contrast, the present, mainly media-theoretical investigation arrives at the converse conclusion that (i) Aristoxenus’ notion strikingly contradicts the metaphysics of Aristotle and that (ii) it is alone by attaining a deeper onto-historical insight into the Greek Mousa-Culture and its philosophical incorporation by the late Pythagorising Plato that the music-theoretical relevance of the dynamis of Aristoxenus becomes sufficiently identifiable and that its epistemological significance can adequately be assessed. On the one hand, regarding the approach, one has to seriously account for the fierceness and absoluteness of the hitherto not understood critique of musical notation resulting from the first-time inclusion of melody into harmonic science. Accordingly, the radical consequences are to be traced, namely how by this temporalisation the theory of music as a whole is turned into a logico-technical consideration of a harmonic process that inevitably has to operate with virtual entities. On the other hand, the study is forced to go far afield in order to elucidate the epistomogenic momentum accompanying the invention of the alphabet and the discovery of incommensurability, as well as to correct the image of the Pythagoreans drawn by Aristotle. Taken together, this led to the need of postulating a ‘time’s own sense of history’ and to methodologically develop a ‘double negative media archaeology’.