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Appendix ATypes of Recorded Chords
In this appendix, detailed lists of the types of recorded chords are presented. Theselists include:
• The conventional name of the chord [13, 15].• The intervals between the notes that compose the chord. The intervals are denoted
as X : (a,b,c, . . .) where X represents the root note of the chord, and (a,b,c, . . .)represent the basic interval with the root note. Note that, in the recordings, theseintervals can be simple or composed by one or more octaves. These intervals arerepresented by a number and an alteration (v.gr. 5 means a perfect fifth chord,5b means a diminished fifth chord and 5# means augmented fifth chord (seeTable 2.1)) [15].
• The intervals between the notes that compose the chord expressed in MIDInumbers.
• An example of the chord for the C key.
The selected chords contain from 3 to 7 different tones. Note that some chordscontain doubled notes, then up to 10 different sounds can be contained in therecorded chords (see Sect. 3.3)
In the recording process, some of these notes are doubled to give rise to the samechord but with different polyphony number. Table A.1 shows the organization of thetables in which the different recorded chords are presented. This table also refersthe tables in Sect. 3.1.
A.M. Barbancho et al., Database of Piano Chords: An Engineering View of Harmony,SpringerBriefs in Electrical and Computer Engineering,DOI 10.1007/978-1-4614-7476-0, © The Author(s) 2013
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Table A.1 Organization ofthe tables in which thedifferent recorded chords arepresented
Number of notes Tables
3 3.2, A.24 3.3, A.35 3.4, A.4, A.56 3.5, A.6, A.77 3.6, A.8, A.9
Table A.2 Types of recorded chords with three different notes
References
1. A.P. Klapuri,“Multiple fundamental frequency estimation based on harmonicity and spectralsmoothness”, IEEE Transaction on Speech and Audio Processing, vol.11, no.6, pp. 804–816,2003.
2. M. Marolt, “A connectionist approach to automatic transcription of polyphonic piano music”,IEEE Transaction on Multimedia, vol. 6, no.3, pp. 439–449, 2004.
3. J.P. Bello, L. Daudet and M.B. Sandler, “Automatic piano transcription using frequency andtime-domain information”, IEEE Transaction on Audio, Speech and Language Processing,vol. 14, pp. 2242–2251, Nov. 2006.
4. G.E. Poliner and D.P.W. Ellis, “A discriminative model for polyphonic piano transcription”,EURASIP Journal on Advances in Signal Processing, vol. 8, pp. 1–9, 2007.
5. I. Barbancho, A.M. Barbancho, A. Jurado and L.J. Tardon, “Transcription of PianoRecordings”, Applied Acoustics, vol. 65, pp. 1261–1287, December 2004.
6. A.M. Barbancho, L.J. Tardon and I. Barbancho, “PIC Detector por Piano Chords”, EURASIPJournal on Advances in Signal Processing, pp.1–12, 2010.
7. A.M. Barbancho, I. Barbancho, B. Soto and L.J. Tardon, “SIC Receiver for PolyphonicPiano Music”, in IEEE International Conference on Acoustics, Speech and Signal Processing(ICASSP 2011), pp. 377–380, May 2011.
8. A.M. Barbancho, I. Barbancho, J. Alamos and L.J. Tardon, “Polyphony number estimator forpiano recordings using different spectral patterns”, in Audio Engineering Society Convention(AES 128th), 2009.
9. M. Goto, “Development of the RWC Music Database”, Proceedings of the 18th InternationalCongress on Acoustics, April 2004.
10. “Grove Music Online: the world’s premier authority on all aspects in music”. OxfordUniversity Press. www.oxfordmusiconline.com
11. F. Opolko and J. Wapnick, “McGill University Master Samples. A 3-DVD Set”, 2006.12. “The Complete MIDI 1.0 Detailed Specification”, 2nd ed., The MIDI Manufacturers
Association, 1996, website: www.midi.org.13. W. Apel, “Harvard Dictionary of Music”, 2nd. ed., The Belknap Press of Harvard University
Press, Cambridge, Massachusetts 2000.14. C. L. Krumhansl, “Cognitive Foundation of Musical Pitch”,Oxford University Press, New
York, NY, USA, 1990.15. www.music-ir.org/mirex/16. A. Klapuri and M. Davy, “Signal processing methods for music transcription”, Springer, 2006.17. J. M. Barbour, “Tuning and Temperament: A Historical Survey”, Dover Publications 2004.
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48 References
18. P. Vos and B. G. V. Vianen, “Thresholds for discrimination between pure and temperedintervals: The relevance of nearly coinciding harmonics”, Journal of the Acoustical Societyof America, vol. 77, pp.176–187, 1984.
19. I. Kosuke, M. Ken’Ichi and N. Tsutomu, “Ear advantage and consonance of dichotic pitchintervals in absolute-pitch possessors. Brain and cognition”, vol. 53, no.3, pp.464–471, 2003.
20. C. de la Bandera, S. Sammartino, I. Barbancho and L.J. Tardon, “Evaluation of music similaritybased on tonal behavior”, In 7th International Symposium On Computer Music Modeling andRetrieval Malaga (Spain), June 21-24, 2010.
21. K. Jensen, “Envelope model of isolated musical sounds”, In Proceeedings of the 2nd COSTG-6 Workshop on Digital Audio Effects (DAFx99), NTNU, Trondheim, December 9-11, 1999.
22. H.L.F. von Helmholtz, “On the Sensations of Tone as a Physiological Basis for the Theory ofMusic”, 4th edition. Trans., A.J. Ellis, New York: Dover, 1954.
23. T.D. Rossing, F.R. Moore and P.A. Wheeler, “The Science of Sound”, 3rd edition, AddisonWesley, 2002.
24. P.D. Lehrman and T. Tully, “MIDI for the Professional”, Amsco Publications, 1993.25. A. V. Oppenheim and R.W. Schafer, “Discrete-Time Signal Processing”, Prentice Hall, 1989.26. R. Cruz, A. Ortiz, A.M Barbancho and I. Barbancho, “Unsupervised classification of audio
signals by self-organizing maps and bayesian labeling”. International Conference on HybridArtificial Intelligence Systems. 2012. LNAI 7208.
27. A. Ortiz, L. Tardon, A.M. Barbancho and I. Barbancho “Unsupervised and neural hybridtechniques for audio signal classification”. Independent Component Analysis for Audio andBiosignal applications. In-Tech, Viena, Austria, 2012, ISBN: 980-953-307-197-3.
Index
Ccharacterization, 3, 4chord, 1, 3, 13, 17, 35
consonant, 13, 16diminished minor, 15dissonant, 13, 16, 18eleventh, 29ninth, 26perfect major, 14, 17perfect minor, 14seventh, 26suspended 4, 24thirteenth, 31
consonance, 7, 9, 14
Ddegree
diminished fifth, 16fifth, 13, 14minor third, 16scale, 20third, 13, 14
dissonance, 14dynamics levels, 2, 20, 35
Eenharmonic, 9, 10, 19envelope, 4
Ffiles, 2, 20, 33, 35Fourier
analysis, 14short-time transform, 6
theory, 4frequency, 4, 6, 12, 15
domain, 4fundamental, 4, 7, 9, 15rate, 33separation, 17standard reference, 7
fundamentaltone, 23
Hharmonic, 4, 9, 14, 16, 17
center, 8series, 9
harmony, 3, 13, 35
Iinharmonicity, 16interval, 3, 6–11, 13, 17, 24
harmonic, 3inversion, 14, 25
Jjazz
music, 29, 31–33
Kkey, 3, 8, 9, 23, 36
black, 7piano, 2recorded, 23, 24, 34relative, 8signature, 8, 19
A.M. Barbancho et al., Database of Piano Chords: An Engineering View of Harmony,SpringerBriefs in Electrical and Computer Engineering,DOI 10.1007/978-1-4614-7476-0, © The Author(s) 2013
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key (cont.)white, 7
keyboard, 7, 25
Llogarithmic, 7, 8, 10
MMIDI, 4, 7, 8, 11, 17, 36
Nnote, 1, 4, 6, 12, 17, 35
bass, 23extended, 2name, 19, 23names, 7root, 17, 37single, 24
Oovertone, 5
Ppartial, 5, 9, 14pitch, 3, 4, 6, 8, 12, 19
classes, 7estimation, 5
playing styles, 2, 20, 35polyphony number, 2, 17, 20, 35
Rrecorded, 2, 15, 17, 18, 33, 35, 37
interval, 24recording, 2, 17, 20, 33, 35, 37
Sscale, 3, 6, 8
diatonic, 7–9equal tempered, 3, 10, 13harmonic, 3just intonation, 3, 9, 11, 16
semitone, 7–10, 13spectrum, 4, 14STFT, 5
Ttime, 4, 6
domain, 4play back, 33, 35
tonality, 8, 19tonic, 8, 9, 21, 24transcription, 1, 3, 14, 24tune, 1, 3
Wwaveform, 4Western
music, 14, 17, 35music theory, 7note names, 7