The Optimization of the Algorithm of Dynamic Tuning with the Consideration of Objective Characteristic Features of Musical Sound
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Abstract
This article examines a new approach towards the realization of a dynamic tuning system, which is currently being developed, presenting an alternative to fixed tuning. Dynamic tuning makes it possible to modify in a flexible manner the tempered scale to improve the acoustic quality of the intervals and chords. If one is to take into account the physical properties of musical sound and some features of perception, it essentially becomes possible to simplify the algorithm of the system’s functioning. Examples of analysis of fragments of musical compositions are given as a demonstration of the applicability of our theory.
Keywords: Dynamic tuning system, Fourier analysis, Pythagorean comma, indeterminateness, frequency, FWHM (Full Width Half Maximum)
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References
2. Garbuzov N. A. Zonnaya priroda zvukovysotnogo slukha. – M.; L.: Izd-vo AN SSSR, 1948.
3. Devutskiy V. E. Akusticheskaya platforma razvitoy khromatiki v ital'yanskom madrigale XVI veka // Problemy muzykal'noj nauki. – 2010. – № 2 (7). – S. 32–38.
4. Knyazev M. Yu. Nekotorye matematicheskie aspekty voprosov muzykal'nogo stroya // Muzykal'naya akademiya. – 2011. – № 2. – S. 87–90.
5. Chesnokov P. G. Khor i upravlenie im: posobie dlya khorovykh dirizherov. – Izd. 3-e. – M.: Muzgiz, 1961.
6. Yanovskiy A. V. Nastroyka fortepiano v kontekste istorii i teorii muzykal'nogo stroya. Ot vremeni Pifagora do noveyshego metoda sinkhronizatsii. – M.: Kompozitor, 2010.
7. Code D. L. Groven.Max: An Adaptive Tuning System for MIDI Pianos // Computer Music Journal. – 2002. – Vol. 26. № 2. – P. 50–61.
8. Kaufmann H. W. Vicentino’s Arciorgano; an annotated translation // Journal of music theory. – 1961.
– № 5. – P. 32–53.
9. Sethares W. A. et al. Spectral Tools for Dynamic Tonality and Audio Morphing // Computer Music Journal. – 2009. – Vol. 33. – № 2. – P. 71–84.