<div id="LayerE10" style="visibility: visible; overflow: visible; z-index:0; left:10px; top:5px; position:absolute; "><?xml version="1.0" encoding="iso-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> <head> <!-- ======================================================= --> <!-- Created by AbiWord, a free, Open Source wordprocessor. --> <!-- For more information visit http://www.abisource.com. --> <!-- ======================================================= --> <meta http-equiv="content-type" content="text/html;charset=UTF-8" /> <title>Library & Resources - Rudolf Haase Biography.html</title> <style type="text/css"><!-- #toc, .toc, .mw-warning { border: 1px solid #aaa; background-color: #f9f9f9; padding: 5px; font-size: 95%; } #toc h2, .toc h2 { display: inline; border: none; padding: 0; font-size: 100%; font-weight: bold; } #toc #toctitle, .toc #toctitle, #toc .toctitle, .toc .toctitle { text-align: center; } #toc ul, .toc ul { list-style-type: none; list-style-image: none; margin-left: 0; padding-left: 0; text-align: left; } #toc ul ul, .toc ul ul { margin: 0 0 0 2em; } #toc .toctoggle, .toc .toctoggle { font-size: 94%; }@media print, projection, embossed { body { padding-top:1.0000in; padding-bottom:1.0931in; padding-left:1.2500in; padding-right:1.2500in; } } #footer { position: relative; width: 100%; height: auto; top: auto; bottom: 0; right: 0; left: 0; } body { text-indent:0in; text-align:left; font-weight:normal; text-decoration:none; font-variant:normal; color:#000000; font-size:12pt; font-style:normal; widows:2; font-family:'Times New Roman'; } table { } td { border-collapse:collapse; text-align:left; vertical-align:top; } p, h1, h2, h3, li { color:#000000; font-family:'Times New Roman'; font-size:12pt; text-align:left; vertical-align:normal; } *.footer { } *.footnote_text { font-size:10pt; } *.footnote_reference { font-size:10pt; vertical-align:super; } --></style> </head> <body> <div> <div style="text-align: center;" dir="ltr"><span style="font-weight: bold;" lang="en-US" xml:lang="en-US"> <table style="border-collapse: collapse;" width="600" cellspacing="0" cellpadding="3" bordercolor="#000000" border="0"><tbody><tr><td width="100%" valign="top"> <div> <span style="font-weight: bold;" lang="en-US" xml:lang="en-US">Rudolf Haase - Biography</span> <p style="text-align: center;" dir="ltr"><img alt="" src="../kayser2/imagelibrary/Resource/21.jpg" /></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Born Feb. 19, 1920 in Halle/Saale (Germany). Schooling and diploma (1938) in Halle/Saale.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> 1938-1948 military service and prisoner of war in Egypt. Educational leave 1942-43 TH Berlin (engineer), further studies at the school for prisoners of war in Egypt.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> 1948 study at the Universities of Münster, Bonn, and Köln. 1951 promotion to Ph.D. in musicology (minors in philosophy and church history). 1951 guest auditor of the ethnomusicologist Prof. Dr. Marius Schneider (Köln) and contact with Dr. Hans Kayser (Ostermundigen), frequently visited until his death (1964) leading to a student-teacher relationship.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> 1952 various duties as musicologist for radio and the press. 1955 lecturer, 1957 assistant managerial director at the Wuppertal Conservatory. 1952 began scientific publications and lectures, predominantly on harmonics.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> 1965 employment at the Vienna Academy (later University) of Music and the Visual Arts, introduction of the field of “fundamental harmonic research.” 1967 promotion to university professor and opening of the “Hans Kayser Institute for Fundamental Harmonic Research.” Since then, over 250 publications in 10 countries and 8 languages, as well as about 260 lectures on harmonic research in 12 countries.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">5 Essays of Professor Haase's have been posted on this website, taken from the following book. We intend to make this collection of essays available through the website at some point, when we have organized the final details and permissions for doing so…. </span></p> <p style="text-align: center;" dir="ltr"><span lang="en-US" xml:lang="en-US"><br /> The Hans Kayser Circle of Friends</span></p> <p style="text-align: center;" dir="ltr"><span style="font-weight: bold;" lang="en-US" xml:lang="en-US">ESSAYS ON THE HISTORY OF HARMONICS</span></p> <p style="text-align: center;" dir="ltr"><span style="font-weight: bold;" lang="en-US" xml:lang="en-US">Plato, Leibniz, Bahr, Hauer, Hesse</span></p> <p style="text-align: center;" dir="ltr"><span lang="en-US" xml:lang="en-US">Rudolf Haase</span></p> <p style="text-align: center;" dir="ltr"><span lang="en-US" xml:lang="en-US">Translated by Ariel Godwin</span></p> <p style="text-align: center;" dir="ltr"><span style="font-style: italic;" lang="en-US" xml:lang="en-US">Schriften über Harmonik </span><span lang="en-US" xml:lang="en-US">No. 11</span></p> <p style="text-align: center;" dir="ltr"><span lang="en-US" xml:lang="en-US">Bern 1984</span></p> <p style="text-align: center;" dir="ltr"><span style="font-weight: bold;" lang="en-US" xml:lang="en-US"><br /> Contents</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Foreword ................................................................................................................. 3</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Remarks on Plato's “Harmony of the Spheres” (Plato 427-347 b.c.) .................. 6</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Research on Leibniz at the Hans Kayser Institute for Fundamental Harmonic Research (Gottfried Wilhelm Leibniz 1646-1716) ............................................................ 9</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Hermann Bahr (1863-1934) and Harmonic Thought ......................................... 13</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Cosmic Harmony in Symbolism and Natural Science: On the World View of Josef Matthias Hauer (1883-1959) ............................................................................. 20</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Hermann Hesse: The Glass Bead Game.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Excerpt from the novel of the same title ............................................................... 32</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Hermann Hesse (1877-1962) and the Harmonic Tradition ................................. 41</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Author's Biography ............................................................................................... 45</span></p> <p style="text-align: center;" dir="ltr"><span style="font-weight: bold;" lang="en-US" xml:lang="en-US">Foreword</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US">Fifteen years have passed since the </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">History of Harmonic Pythagoreanism</span><span class="footnote_reference" id="footnote_ref-1"><a href="#footnote_anchor-1">1</a></span><span lang="en-US" xml:lang="en-US"> was published; but after ten years, the book was out of print. Speculations have long been made as to how the ever-present demand for copies could be met, particularly since this book was interesting not only to scholars of harmonics and historians of the sciences, but also served as three semesters' worth of fundamental lecture material for students at the Vienna Academy of Music.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> Meanwhile, the book was translated into Polish; yet the publication was delayed due to the translator falling ill. It had to be revised in any case, since many facts needed correcting, especially after new studies on Thimus.</span><span class="footnote_reference" id="footnote_ref-2"><a href="#footnote_anchor-2">2</a></span><span lang="en-US" xml:lang="en-US"> Suffice it to say that for this Polish translation, by Ursula Haase, a new bibliography had to be prepared with 950 titles, the old edition having only 558. There was a wealth of new literature on this subject; therefore it did not make sense to publish a German version of the corrected Polish one. It would be much better to write a whole new book; and the Author will surely not have time for this until his retirement!</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> In truth, the void is not as great as it seems from this introduction. Various individual works were prepared by the Hans Kayser Institute for Fundamental Harmonic Research in Vienna, in which predominantly historical topics were further investigated. The Author himself studied Kepler</span><span class="footnote_reference" id="footnote_ref-3"><a href="#footnote_anchor-3">3</a></span><span lang="en-US" xml:lang="en-US"> and Leibniz,</span><span class="footnote_reference" id="footnote_ref-4"><a href="#footnote_anchor-4">4</a></span><span lang="en-US" xml:lang="en-US"> and also wrote Kayser's biography;</span><span class="footnote_reference" id="footnote_ref-5"><a href="#footnote_anchor-5">5</a></span><span lang="en-US" xml:lang="en-US"> the compilation of Kayser's letters, by Ursula Haase,</span><span class="footnote_reference" id="footnote_ref-6"><a href="#footnote_anchor-6">6</a></span><span lang="en-US" xml:lang="en-US"> serves as its completion. Werner Schulze studied Nikolaus von Kues</span><span class="footnote_reference" id="footnote_ref-7"><a href="#footnote_anchor-7">7</a></span><span lang="en-US" xml:lang="en-US"> and Schopenhauer,</span><span class="footnote_reference" id="footnote_ref-8"><a href="#footnote_anchor-8">8</a></span><span lang="en-US" xml:lang="en-US"> while Leopold Spitzer (while also writing a book on Rilke</span><span class="footnote_reference" id="footnote_ref-9"><a href="#footnote_anchor-9">9</a></span><span lang="en-US" xml:lang="en-US">) made a groundbreaking investigation of Albert von Thimus's</span><span class="footnote_reference" id="footnote_ref-10"><a href="#footnote_anchor-10">10</a></span><span lang="en-US" xml:lang="en-US"> </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">Harmonic Symbolism of the Ancients</span><span lang="en-US" xml:lang="en-US">, with far-reaching consequences.</span><span class="footnote_reference" id="footnote_ref-11"><a href="#footnote_anchor-11">11</a></span><span lang="en-US" xml:lang="en-US"> The old suspicion that Thimus had made several mistakes was proven true to a great extent; therefore the image of ancient Pythagoreanism that he used, and his so-called “harmonic symbolism,” both had to undergo numerous corrections.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> We should also mention those historically oriented dissertations that were written at Vienna, since their content-even those that were not published-may become part of a future history of harmonics. These deal predominantly with collections of material and special investigations by the following historical personages: Johann Sebastian Bach, Antoine Fabre d'Olivet, Philippe Rameau, Rainer Maria Rilke, Hermann Hesse, Franz Werfel, Paul Klee, and Paul Hindemith.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> But papers were also written, independently from the Vienna Academy, on the topic of the Pythagorean tradition. Indeed, there is a wealth of publications relating to this material, the titles of which are listed in five bibliographies so far: </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">Literature on Fundamental Harmonic Research</span><span lang="en-US" xml:lang="en-US">.</span><span class="footnote_reference" id="footnote_ref-12"><a href="#footnote_anchor-12">12</a></span><span lang="en-US" xml:lang="en-US"> Of these only a few are given; they cover broader domains and should be approached as freestanding historical works.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> In 1962 a groundbreaking work on Pythagoras was published: Walter Burkert's </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">Wisdom and Science: Studies on Pythagoras, Philolaus, and Plato</span><span lang="en-US" xml:lang="en-US">,</span><span class="footnote_reference" id="footnote_ref-13"><a href="#footnote_anchor-13">13</a></span><span lang="en-US" xml:lang="en-US"> a standard work of classical philology, written mainly for experts in the field. Not less extensive and important, but easier to understand, is Bartel Leendert van der Waerden's </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">The Pythagoreans: Religious Brotherhood and School of Wisdom</span><span lang="en-US" xml:lang="en-US">.</span><span class="footnote_reference" id="footnote_ref-14"><a href="#footnote_anchor-14">14</a></span><span lang="en-US" xml:lang="en-US"> There is also much important material for our topic in </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">History of Natural Science I: The Foundation of a Natural Science by the Greeks</span><span class="footnote_reference" id="footnote_ref-15"><a href="#footnote_anchor-15">15</a></span><span lang="en-US" xml:lang="en-US"> by Fritz Krafft. There are many thematic intersection points with harmonics in Hans Schavernoch's </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">The Harmony of the Spheres: The History of the Idea of Universal Harmony and the Tuning of the Soul,</span><span class="footnote_reference" id="footnote_ref-16"><a href="#footnote_anchor-16">16</a></span><span style="font-style: italic;" lang="en-US" xml:lang="en-US"> </span><span lang="en-US" xml:lang="en-US">in which the literary tradition of the aesthetic foreground is closely followed, whereas our concern lies more in the scientific-historical realm. By contrast, </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">Architecture and Harmony: Number, Measure, and Proportion in Western Architecture</span><span lang="en-US" xml:lang="en-US">,</span><span class="footnote_reference" id="footnote_ref-17"><a href="#footnote_anchor-17">17</a></span><span lang="en-US" xml:lang="en-US"> by Paul von Naredi-Rainer, is a purely art-historical work, which can be thought of as an extension of our chapter on this subject in our </span><span style="font-style: italic;" lang="en-US" xml:lang="en-US">History of Harmonic Pythagoreanism</span><span lang="en-US" xml:lang="en-US">.</span></p> <p style="text-align: left;" dir="ltr"><span lang="en-US" xml:lang="en-US"> All the literature mentioned must be taken into account for a new edition of our History, so that the vast scope of this work can be seen. Since this new edition is not forthcoming, we have undertaken this summary, with the help of which the interested reader can help himself further. The same purpose is also served by the publication of the following essays, which may fill a few gaps.</span></p> <p> </p> <div> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-1"><a href="#footnote_ref-1">1</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> R. Haase: “Geschichte des harmonikalen Pythagoreismus,” Vienna 1969 (Publikationen der Wiener Musikakademie, vol. 3)</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-2"><a href="#footnote_ref-2">2</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> L. Spitzer: “Die harmonikale Symbolik des A. Frh. von Thimus. Ein Beitrag zur Geschichte der Harmonik,” Vienna 1978 (Beiträge zur harmonikalen Grundlagenforschung, 8)</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-3"><a href="#footnote_ref-3">3</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> R. Haase: a) “Kepler, Joh.,” in: Die Musik in Geschichte und Gegenwart, vol. 7, Kassel etc. 1958;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> b) “Keplers Weltharmonik und das naturwissenschaftliche Denken,” in: Antaios, vol. 5, Stuttgart 1963;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> c) “Fortsetzungen der Keplerischen Weltharmonik,” in: : Joh. Kepler, Werk und Leistung, Linz 1971;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> d) “Marginalien zum 3. Keplerschen Gesetz,” in: Kepler Festschrift 1971, Regensburg 1971;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> e) “Keplers Weltharmonik in Vergangenheit, Gegenwart und Zukunft,” in: Sudhoffs Archiv, vol. 57, no. 1, Wiesbaden 1973;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> f) “Kepler's Harmonies between Pansophia and Mathesis Universalis,” in: Vistas in Astronomy, vol. 18, Oxford 1975;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> g) “Joh. Keplers 'Weltharmonik,'” in: Wissenschaft und Weltbild, yr. 29, no. 3-4, Vienna 1976;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> h) “Keplers zweifache Weltharmonik,” in: Grenzgebiete der Wissenschaft, yr. 26, no. 2, Innsbruck 1977;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> i) “Von Keplers 'Weltharmonik' zu Hindemiths 'Harmonie der Welt,'” in: Österreichische Musikzeitschrift, yr. 35, nos. 7-8, Vienna 1980;</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> j) “Die Bedeutung von Analogie und Finalität für Kepler und für die Gegenwart,” in: R. Haase (ed.): Kepler-Symposion zu J. Keplers 350. Todestag, report, Linz 1982</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-4"><a href="#footnote_ref-4">4</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> See the essay in this volume.</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-5"><a href="#footnote_ref-5">5</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> R. Haase: Hans Kayser. Ein Leben für die Harmonik der Welt, Basel 1968</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-6"><a href="#footnote_ref-6">6</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> U. Haase: Der Briefwechsel Hans Kaysers, Vienna 1973 (Beiträge zur harmonikalen Grundlagenforschung, 4)</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-7"><a href="#footnote_ref-7">7</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> W. Schulze: a) “Zahl, Proportion, und Analogie. Eine Untersuchung zur Metaphysik und Wissenschaftshaltung des Nikolaus von Kues,” Munster 1978 (Buchreihe der Cusanus-Gesellschaft, vol. VII);</span></p> <p><span lang="en-US" xml:lang="en-US"><br /> b) “Harmonik und Theologie dei Nikolaus Cusanus,” Vienna 1983 (Beiträge zur harmonikalen Grundlagenforschung, 13)</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-8"><a href="#footnote_ref-8">8</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> W. Schulze: “Musik als verborgene metaphysische Übung?” Bern 1978 (Schriften über Harmonik no. 4)</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-9"><a href="#footnote_ref-9">9</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> L. Spitzer: “Das Harmonikale in der Musikauffassung Rainer Maria Rilkes,” Vienna 1974 (Beiträge zur harmonikalen Grundlagenforschung, 6)</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-10"><a href="#footnote_ref-10">10</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> A. v. Thimus: Die harmonikale Symbolik des Alterthums, 2 vols., Köln 1868-1876, reprint Hildesheim 1972</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-11"><a href="#footnote_ref-11">11</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> See footnote 2</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-12"><a href="#footnote_ref-12">12</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> R. and U. Haase: Literatur zur harmonikalen Grundlagenforschung, i-v, Vienna 1969, 1972, 1975, 1979, 1983</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-13"><a href="#footnote_ref-13">13</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> W. Burkert: Weisheit und Wissenschaft. Studien zu Pythagoras, Philolaos, und Platon, Nuremberg 1962</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-14"><a href="#footnote_ref-14">14</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> B.L. van der Waerden: Die Pythagoreer, religiöse Bruderschaft und Schule der Wissenschaft, Zurich 1979</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-15"><a href="#footnote_ref-15">15</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> F. Krafft: Geschichte der Naturwissenschaft I. Die Begründung einer Wissenschaft von der Natur der Griechen, Freiburg 1971</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-16"><a href="#footnote_ref-16">16</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> H. Schavernoch: Die Harmonie der Sphären. Die Geschichte der Idee des Welteinklangs und der Seeleneinstimmung, Freiburg 1981</span></p> <p style="text-align: left;" class="footnote_text" awml:style="Footnote Text" dir="ltr"><span class="footnote_reference" id="footnote_anchor-17"><a href="#footnote_ref-17">17</a></span><span style="font-size: 12pt;" lang="en-US" xml:lang="en-US"> P. von Naredi-Rainer: Architektur und Harmonie. Zahl, Mass, und Proportion in der abendländischen Baukunst, Köln 1982 </span> </p> </div> <div id="footer"> <p style="text-align: left;" class="footer" awml:style="Footer" dir="ltr"><span class="ABI_FIELD_page_number">5</span></p></div></div></td></tr></tbody></table> </span></div> <div style="text-align: center;" dir="ltr"><span style="font-weight: bold;" lang="en-US" xml:lang="en-US"></span></div></div> <div id="footer"> <p style="text-align: left; margin-right: 0.25in;" class="footer" awml:style="Footer" dir="ltr"></p> <p style="text-align: left;" dir="ltr"> </p> </div> </body> </html></div>
History of Harmonics
Ancient Civilizations
Haase - Hermann Bahr & Harmonic Thought
Haase - Leibniz & Kayser
Summary of History
Harmonics & Mathematics
Magic Squares
Number Distribution
Number Symbolism
Fractal Harmonies
Harmonics & Geometry
Musical Ratios
Parabola, Hyperbola, Ellipse
The Proportions
Tone Spirals & Tone Curves
Harmonics & Astronomy
Kepler
Haase on Plato's Harmony of The Spheres
Harmony of The Spheres
Kepler`s Platonic Solids
Planetary Harmonics
Cosmology & Cosmogony
Harmonic Cosmogony
I Ching
Pythagoreanism
Robert Fludd
Robert Fludd Images
Octaves & Spirals
Harmonics & Architecture
Harmonics & Architecture
Architectural Examples
Harmonics & Language
Harmonics & Language
Harmonics & Symbolism
Cosmic Harmony in Symbolism
Doctrine of Correspondences
Harmonics as Symbolism
Hermann Hesse & The Glass Bead Game
Gann & Financial Markets
Partial Tone Diagram & Square of 9
Polar Diagrams & Spiral Charts
Harmonics in Nature
Human Canon
Animals
Plants
Snow Crystals
Harmonics & Music Theory
Harmonics as a Science
Interference
Harmonic Theories & Diagrams
Thought as a Sense
Color & Partial-Tone Coordinates
The Lambdoma
Lambdoma Applications
The Monochord
Library & Resources
Hans Kayser Biography
Hans Kayser's Horoscope
Rudolf Haase Biography
Bibliography of Kayser's Works
Bookstore
Law of the Cosmos
Natural Architecture
The Textbook of Harmonics
News - May 2010
February 2008 Newsletter
Links
