Описывается метод определения последовательности аккордов, со- держащейся в музыкальной звукозаписи. По итогам ежегодного соревнования си- стем распознавания аккордов MIREX Audio Chord Estimation 2012 качество работы предлагаемого метода сопоставимо с результатами других участников. В отличие от большинства других систем, описанная в данной работе система не использует методы машинного обучения.

1. Bas De Haas W. Improving audio chord transcription by exploiting harmonic and metric knowledge /W. Bas De Haas, J. P. Magalh˜aes, F.Wiering // Proceedings of the 13th International Society for Music Information Retrieval Conference. Porto, Portugal, October 8–12, 2012. – Porto, 2012. – P. 295–300.

2. Brown J. C. Calculation of a constant q spectral transform. / J. C. Brown // Journal of the Acoustical Society of America. – 1991. – Vol. 89, N 1. – P. 425–434.

3. Burgoyne J. A. An expert ground truth set for audio chord recognition and music analysis / J. A. Burgoyne, J. Wild, I. Fujinaga // Proceedings of the 12th International Society for Music Information Retrieval Conference. Miami, USA, October 24–28, 2011. – Miami, 2011. – P. 633–638.

4. Cho T. A feature smoothing method for chord recognition using recurrence plots / T. Cho, J. P. Bello // Proc. of the 12th International Society for Music Information Retrieval Conference, Miami, USA, October 24–28, 2011. – Miami, 2011. – P. 651–656.

5. Cho T. Exploring common variations in state of the art chord recognition systems / T. Cho, R. J. Weiss, J. P. Bello // Proceedings of the 7th Sound and Music Computing Conference (SMC 2010). – Barcelona, Spain, 2010.

6. Cooley J. An algorithm for the machine calculation of complex Fourier series / J. Cooley, J. Tukey // Mathematics of Computation. – 1965. – Vol. 19. – P. 297–301.

7. Glazyrin N. Chord recognition using Prewitt filter and self-similarity / N. Glazyrin, A. Klepinin // Proceedings of the 9th Sound and Music Computing Conference. Copenhagen, Denmark, July 11-14, 2012. – Copenhagen, 2012. – P. 480–485.

8. Humphrey E. J. Learning a robust tonnetz-space transform for automatic chord recognition / E. J. Humphrey, T. Cho, and J. P. Bello // Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), IEEE. Kyoto, Japan, 2012. – Kyoto, 2012. – P. 453–456.

9. Analyzing chroma feature types for automated chord recognition / N. Jiang, P. Grosche, V. Konz, M. M¨uller // Proc. of the AES 42nd International Conference: Semantic Audio. Ilmenau, Germany, 2011, July 22–24. – Ilmenau, 2011.

10. Lerch A. On the requirement of automatic tuning frequency estimation / A. Lerch // Proceedings of ISMIR 2006 7th International Conference on Music Information Retrieval. Victoria, Canada, 8-12 October 2006. – Victoria, 2006. – P. 212–215. 11. Mauch M. Using musical structure to enhance automatic chord transcription / M.

Mauch, K. C. Noland, S. Dixon // Proc. of the 10th International Conference on Music Information Retrieval. Kobe, Japan, 26–30 October 2009. – Kobe,2009. – P. 231–236.

12. M¨uller M. Making chroma features more robust to timbre changes / M. M¨uller, S. Ewert, S. Kreuzer // Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP ’09, Washington, DC, USA. – IEEE Computer Society, 2009. – P. 1877–1880.

13. RWC Music Database: Popular, Classical, and Jazz Music Databases / T. Nishimura, M. Goto, H. Hashiguchi, R. Oka // Proceedings of the 3rd International Conference on Music Information Retrieval (ISMIR 2002). Paris, France, October 13-17, 2002. – Paris, 2002. – P. 287–288.

14. Oudre L. Chord recognition using measures of fit, chord templates and filtering methods / L. Oudre, Y. Grenier, C. F´evotte // Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA). New York, USA, 2009. – N. Y., 2009. – P. 9–12.

15. Zhu Y. Music key detection for musical audio / Y. Zhu, M. S. Kankanhalli, S. Gao // Proceedings of 11th International Multimedia Modelling Conference (MMM’05). Melbourne, Australia, January 12-14, 2005. – Melbourne, 2005. – P. 30–37.