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Goniometry in Ptolemy's Almagest
Kušnír, Martin ; Halas, Zdeněk (advisor) ; Bečvář, Jindřich (referee)
The main focus of this bachelor thesis are the beginnings of goniometry in ancient Greece, mainly in the book Almagest from Claudius Ptolemy. We describe a predecessor of modern goniometric function - the length of a chord in a circle and it's similarity to the modern goniometric function sine. In the first part we focus on computing the table of chords. In the thesis the process of computing the table of chords is unchanged from the original in Almagest, it is only translated into a modern mathematical language. We present description of the Heron's algorithm for computing square roots and discuss the accuracy of the table of chords. In the second part we show the usage of the table of chords in astronomical calculations. Our work is based on how Ptolemy viewed the solar system and the movements of heavenly bodies. Keywords: goniometry, Ptolemy, Almagest, chord, sine
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Generation of Sound from Images
Brada, Tomáš ; Přinosil, Jiří (referee) ; Říha, Kamil (advisor)
This thesis deals with different kinds of converting image data (two-dimensional discrete signal) to sound data (one-dimensional discrete signal). Implemented algorithms are using knowledge of music theory, properties of human hearing and basic techniques of 1D and 2D signal processing as Fourier transform and modulating frequency spectrum via high-pass and low-pass filter.
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Generator of Harmonic Sounds and Chords
Bednář, Jan ; Mašek, Jan (referee) ; Schimmel, Jiří (advisor)
Major aim of this bachelor’s thesis is creation of VST plug-in module, that is able to generate sound for more tones in the same time. This thesis describes a brief theory of music acoustics which aims to show basic relations between tones, their higher harmonics and impact on the sound color. The function of temperament system of tuning, relations between intervals and way of making chords is described. Next things mentioned in this thesis are basics of VST technology, how to programme with VST SDK and basic MIDI messages for implementation in VST plug-in.
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Rule-Based Melody Harmonization
Kuchár, Pavol ; Žák, Pavel (referee) ; Fapšo, Michal (advisor)
Bachelor thesis deals with the issue of computer aided composition. The aim of the thesis was to create the program, which implements several rules of music theory and using of CSP determines appropriate tones for harmonization of melody. The result is presented in score and MIDI file.
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Melody Harmonization
Maňák, Ondřej ; Černocký, Jan (referee) ; Fapšo, Michal (advisor)
The focus of this bachelor's thesis is an automatic harmonization of melody. The programme uses axioms of harmonization and is implemented in Perl language. The input is a text file that contains the melody that should be harmonized. The output is a midi file that contains the melody with the piano harmonization part.
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Melody Harmonization
Vlasák, Jaroslav ; Černocký, Jan (referee) ; Fapšo, Michal (advisor)
This bachaleor's thesis is focused on an automatic harmonization of melody. The implemented system is using a machine learning approach and learning the harmony principles from the database of MIDI files. The input of the system could be monophony songs in MIDI or ABC format. The output of the system are polyphony songs in MIDI format harmonized in the style of protestant chorale.
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