1 / 18

Computerized real time tuning Ladislav Šipeky

Computerized real time tuning Ladislav Šipeky. Computerized real time tuning. Mathematics-Music Tuning Fuzzy logic in music Dissonance curve Algorithms Future work. Computerized real time tuning Mathematics - music. Symbolic relationship h + Q = h. Computerized real time tuning

raine
Download Presentation

Computerized real time tuning Ladislav Šipeky

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Computerized real time tuningLadislav Šipeky

  2. Computerized real time tuning • Mathematics-Music • Tuning • Fuzzy logic in music • Dissonance curve • Algorithms • Future work

  3. Computerized real time tuning Mathematics - music Symbolic relationship h + Q = h.

  4. Computerized real time tuning Tuning • Tuning- terminology • Tuning: Tuning is an exact definition of the pitch of one or more tones. • Octave: Given two sounds with frequencies f1 and f2, we say that f2 is one octave higher than f1 if f2 is twice f1. • Interval:

  5. Computerized real time tuning Tuning Pythagorean tuning 2/1 - Octave / 12 semitones 3/2 - Fifth (perfect) /7 semitones 4/3 - Fourth (perfect) /5 semitones 2p3q p, q ϵ Z

  6. Computerized real time tuning Tuning Pythagoreancomma FG= 1024 / 729 GI = 729 / 512 524288/531441

  7. Computerized real time tuning Tuning Just intonation major third / 4 semitones 2p3q5r p, q, r ϵ Z

  8. Computerized real time tuning Tuning Equal temperament Cents

  9. Computerized real time tuning Tuning

  10. Computerized real time tuning Tuning Beats Acoustical effect - interference of close frequences

  11. Computerized real time tuning Tuning Garbuzov zones INTERVAL DEVIATION prime /unisono (-12, 12) major second (160, 230) major third(372, 430) perfect fourth (472, 530) perfect fifth (672, 730) major sixth (866, 930) major seventh (1066, 1136)

  12. Computerized real time tuning Fuzzy logicinmusic Fuzzy logicinmusic

  13. Computerized real time tuning Dissonancecurve Spectral analysis of real tone Result of Fourier transform Threshold Taken from: http://www.phys.unsw.edu.au/jw/sound.spectrum.html

  14. Computerized real time tuning Dissonancecurve Dissonance curve Taken from: http://eceserv0.ece.wisc.edu/~sethares/consemi.html

  15. Computerized real time tuning Dissonancecurve Dissonancecurveof „real“ tones Taken from: http://eceserv0.ece.wisc.edu/~sethares/consemi.html

  16. Computerized real time tuning Algorithms Real time tuning algorithms • Hermode Tuning system (Werner Mohrlok) • Adaptive tuning • (William A. Sethares)

  17. Computerized real time tuning Future work Usage • Interpretation • Evaluation of musicians • ... Future work • “More” correct formula of dissonance curves • Implementation of musical analysis to existing algorithms • Else 

  18. Computerized real time tuning Thank you for your attention Mgr. art., Mgr. Ladislav Šipeky ladislav.sipeky@stuba.sk Department of Mathematics Faculty of Civil Engineering Slovak University of Technology Bratislava Radlinského 11 813 68 Bratislava Slovakia http://www.math.sk Ps. For lunch will be: borshch and something for vegetarians 

More Related