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Zbornik RadovaPublisher: Matematički institut SANU, BeogradISSN: 0351-9406Issue: 21(29)Date: 2024 Editorial BoardImpressum Preface 5 - 6 Vesna Todorčević   Pythagorean music theory 7 - 22 Zoran Lučić   AbstractKeywords: arithmetic of intervals; continued proportions; numerical ratios of concords; whole tones and semitones; scaleMSC: 01A20DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch1 The Twelve Magnificents 23 - 39 Zvonimir Šikić   AbstractKeywords: interval; scale; tuning; temperament; continued fractionMSC: 00A65DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch2 Relics of the First Sound Waves in the Cosmos Through Soundsculptures 41 - 67 Edi Bon and Ivan Bon   AbstractKeywords: sound sculptures; early universe; Big Beng; cosmic microwave background radiation; CMBR; barion acoustic oscilations; BAO; resonatorsMSC: 85A40; 00A66; 97M80DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch3 Smooth Numbers in Music and Architecture 69 - 74 Filip D. Jevtić   AbstractKeywords: musical scales; PalladioMSC: 00A65; 00A67DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch4 Liszt's Sonata in B minor and Transcendence 75 - 90 Stefan G. Ivković   AbstractKeywords: Liszt's Sonata in B minor; Faust; Petar II Petrović Njegoš; Vladislav Petković Dis; commuting diagramsMSC: 00A65; 00A99DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch5 Mathematical Modeling in Music Composition: Strategies, Insights & Perspectives 91 - 100 Fani Kosona   AbstractKeywords: mathematical modeling; music composition; musical form; structural space of music composition; musical parameters; algorithmic processesMSC: 00A65DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch6 Allusions and Illusions. György Ligeti, Drawing, Mathematics and Music 101 - 108 Karol Beffa   AbstractKeywords: music; engraving; fractals; Giovanni Battista Piranesi; Maurits Cornelis Escher; Benoît Mandelbrot; Douglas R. HofstadterMSC: 00A65; 00A66DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch7 The Early Greek Notions of Harmony and Symmetry 109 - 124 Noel Putnik   AbstractKeywords: harmonía; symmetría; métron; the harmony of the spheres; musica universalis; Homer; Heraclitus; Plato; PythagoreanismMSC: 00A65; 01A20DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch8 De Institutione Musica: Boethius' Ancient Sources and Reception History 125 - 154 Saša Popović   AbstractKeywords: Boethius; mathematical foundations of music; Pythagorean quadrivium; Quellenforschung; Textgeschichte; RezeptionsgeschichteMSC: 00A65; 01A20; 01A75DOI: https://doi.org/10.18485/mi_sanu_zr.2024.29.21.ch9 Article page: 12>>

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