Overtone |
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Nichifor Crainic Cursurile De Mistica.pdf !free! May 2026Crainic sought to move theology away from dry, scholastic "clichés" and toward a "lived" experience. Nichifor Crainic’s (Lectures on Mysticism) represents a foundational moment in Romanian theology, marking the first time mystical theology was established as a formal academic discipline in the country. Delivered during his tenure at the Faculty of Orthodox Theology in Bucharest, these lectures bridged the gap between traditional spirituality and modern intellectual thought, influencing major figures like Dumitru Stăniloae . Overview of "Cursurile de mistică" Nichifor Crainic Cursurile De Mistica.pdf – Crainic introduces Romanian students to Western figures like Meister Eckhart , analyzing their contributions through an Orthodox lens to find commonalities and contrasts in the mystical experience. Key Themes and Theological Significance Crainic sought to move theology away from dry, – This section explores the "science of deification" ( theosis ), examining the soul's journey toward union with God through the sacraments, particularly the Eucharist. Overview of "Cursurile de mistică" – Crainic introduces The work is typically divided into two major volumes or sections that reflect Crainic’s broad intellectual interests: |
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Examples |
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| In synthesizer experiments you select the amplitudes and phases of the fundamental and 9 overtones to construct the beginning of a Fourier series. The sum is seen on a graphics display and the signal is available as sound card output. | ||||||||||||||||||||||||
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You can test the Helmholtz assumption that the relative phases of the overtones are irrelevant to hearing. |
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In analyser experiments you capture sound from the sound card or from a WAV file up to several seconds long, select the starting time of the time slice and analyse time and frequency responses. The example shows the spectrum of a piano playing a middle C (262 Hz). The non-harmonic overtones are clearly seen. (Due to the stiffness of the string, the frequencies of the partials are too high.) |
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| You may filter data with a digital filter and display spectrograms in color mode. This example shows the spectrogram taken from the word "harris" in the frequency range 0..10 kHz with a 4096-point-FFT every 2 ms (post processing). The formants of "i" and the high spectral components of "s" are clearly visible. | ||||||||||||||||||||||||
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| Short time spectral information may also be displayed in a 3-D representation, called "waterfall". The following example shows the waterfall spectrum of the same word "harris" as before. The red layer picks out the spectrum of "i" where the formants are visible again. The presentation may be rotated automatically or manually with scroll bars, in order to select the best "camera point". | ||||||||||||||||||||||||
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Download version 1.15, June 2009: OVERTONE.ZIP
(1.55 MB) Unpack in a new folder, read README.TXT and start OVERTONE.EXE For more information, send e-mail to address given in README.TXT Unterrichtseinheit Analyse von Klangspektren von Alain Hauser (in German) |
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