{"id":1851,"date":"2025-11-08T21:48:03","date_gmt":"2025-11-08T20:48:03","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/11\/08\/melodie-na-milimetrovem-papire-vyuziti-pocitacem-generovaneho-melodickeho-grafu-k-aplikaci-matematiky-2\/"},"modified":"2025-11-28T22:01:36","modified_gmt":"2025-11-28T21:01:36","slug":"melodie-na-milimetrovem-papire-vyuziti-pocitacem-generovaneho-melodickeho-grafu-k-aplikaci-matematiky-2","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/11\/08\/melodie-na-milimetrovem-papire-vyuziti-pocitacem-generovaneho-melodickeho-grafu-k-aplikaci-matematiky-2\/","title":{"rendered":"Melodie na milimetrov\u00e9m pap\u00ed\u0159e: Vyu\u017eit\u00ed po\u010d\u00edta\u010dem generovan\u00e9ho Melodick\u00e9ho grafu k aplikaci matematiky"},"content":{"rendered":"<p><em>Stanislava Dvo\u0159\u00e1kov\u00e1<\/em><br \/>\n<small>Katedra matematiky, Vysok\u00e1 \u0161kola polytechnick\u00e1 Jihlava, Jihlava<\/small><\/p>\n<p>(spole\u010dn\u00fd p\u0159\u00edsp\u011bvek s Mgr. V\u00edt\u011bzslavem Kru\u017e\u00edkem, Ph.D., MBA)<\/p>\n<p>Tento p\u0159\u00edsp\u011bvek se zab\u00fdv\u00e1 inovativn\u00edm didaktick\u00fdm p\u0159\u00edstupem, kter\u00fd vyu\u017e\u00edv\u00e1 po\u010d\u00edta\u010dov\u00e9 technologie k p\u0159eklenut\u00ed propasti mezi abstraktn\u00edmi matematick\u00fdmi koncepty a hmatateln\u00fdm sv\u011btem hudby. Konkr\u00e9tn\u011b p\u0159edstavujeme metodu Melodick\u00e9ho grafu (Pitch-Time Plot), kde je hudebn\u00ed d\u00edlo (melodie) transformov\u00e1no do dvourozm\u011brn\u00e9ho sou\u0159adnicov\u00e9ho syst\u00e9mu.<br \/>\nPo\u010d\u00edta\u010d je zde kl\u00ed\u010dov\u00fd, nebo\u0165 slou\u017e\u00ed k p\u0159evodu dat na vizu\u00e1ln\u00ed formu (\u0159adu vodorovn\u00fdch \u00fase\u010dek) a k dynamick\u00e9 anal\u00fdze vznikl\u00fdch geometrick\u00fdch struktur.<br \/>\nC\u00edlem je uk\u00e1zat, \u017ee hudebn\u00ed struktura je ve sv\u00e9 podstat\u011b matematick\u00e1 symetrie a kombinatorika. P\u0159\u00edsp\u011bvek demonstruje konkr\u00e9tn\u00ed kroky pro implementaci v programovac\u00edm prost\u0159ed\u00ed a diskutuje o vlivu t\u00e9to multimod\u00e1ln\u00ed vizualizace na hlub\u0161\u00ed pochopen\u00ed a motivaci student\u016f ve v\u00fduce diskr\u00e9tn\u00ed matematiky a geometrick\u00fdch transformac\u00ed.<br \/>\nKl\u00ed\u010dov\u00e1 slova: Melodick\u00fd graf, Pitch-Time Plot, geometrick\u00e9 transformace, zlomky, pom\u011bry, didaktika matematiky, vizualizace dat.<\/p>\n<p>Prezentace: <a href=\"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-content\/uploads\/2025\/11\/Melodicky_graf.pdf\" class=\"mtli_attachment mtli_pdf\" target=\"_blank\" rel=\"noopener\">Melodicky_graf.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Stanislava Dvo\u0159\u00e1kov\u00e1 Katedra matematiky, Vysok\u00e1 \u0161kola polytechnick\u00e1 Jihlava, Jihlava (spole\u010dn\u00fd p\u0159\u00edsp\u011bvek s Mgr. V\u00edt\u011bzslavem Kru\u017e\u00edkem, Ph.D., MBA) Tento p\u0159\u00edsp\u011bvek se zab\u00fdv\u00e1 inovativn\u00edm didaktick\u00fdm p\u0159\u00edstupem, kter\u00fd vyu\u017e\u00edv\u00e1 po\u010d\u00edta\u010dov\u00e9 technologie k p\u0159eklenut\u00ed propasti mezi abstraktn\u00edmi matematick\u00fdmi koncepty a hmatateln\u00fdm sv\u011btem hudby. Konkr\u00e9tn\u011b p\u0159edstavujeme metodu Melodick\u00e9ho grafu (Pitch-Time Plot), kde je hudebn\u00ed d\u00edlo (melodie) transformov\u00e1no do dvourozm\u011brn\u00e9ho sou\u0159adnicov\u00e9ho &hellip; <a href=\"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/11\/08\/melodie-na-milimetrovem-papire-vyuziti-pocitacem-generovaneho-melodickeho-grafu-k-aplikaci-matematiky-2\/\" class=\"more-link\">Pokra\u010dovat ve \u010dten\u00ed<span class=\"screen-reader-text\"> &#8222;Melodie na milimetrov\u00e9m pap\u00ed\u0159e: Vyu\u017eit\u00ed po\u010d\u00edta\u010dem generovan\u00e9ho Melodick\u00e9ho grafu k aplikaci matematiky&#8220;<\/span><\/a><\/p>\n","protected":false},"author":120,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-1851","post","type-post","status-publish","format-standard","hentry","category-prispevky-ucastniku"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1851","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/users\/120"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/comments?post=1851"}],"version-history":[{"count":1,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1851\/revisions"}],"predecessor-version":[{"id":1923,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1851\/revisions\/1923"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/media?parent=1851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/categories?post=1851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/tags?post=1851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}