Gula pauku hana i ka mea hana

"Golden Section" - He manaʻoʻano makemakika a me ka hoʻopaʻa haʻawina ia - i ka hana o ka 'epekema. Kēia mahele kekahi nui i loko o nā māhele i loko o ia ka lākiō, ka wā bolshaya hapa pela, e hoʻohuli i i haahaa me ka a pau i ka kiʻekiʻe. Kēia lākiō mea like i ka transcendental helu F = 1.6180339 ... me kahaha ko oukou naau waiwai.

hana gula Pauku - he huli papa aiee ma ka haawi wā mawaena. Kēia papa hana ua muli ma luna o ka loina o ka mahele ana i ka Hoʻohana i loko o ka ai-kapaia gula lākiō. I ka loa i lohe nui ia, ua loaa i ka huli loa Hawaiʻi i loko o ka hoʻoponopono pilikia pili i kaʻoi loa. Ma waho aʻeo ka makemakika, ua hoʻohana 'ia ka gula pauku ano i kula likeʻole HEN, mai kuhikuhipuʻuone, oe, a pau me ka kilohōkū. No ka laʻana, ka mea kaulana Soviet mea kuhikuhi Sergey Eyzenshteyn hoʻohana mea i loko o kona ho film "Battleship Potemkin" a me Leonardo ka Vinci - ka wā kākau lākou kaulana "Mona Lisa".

I ka papa hana o ka gula pauku ua hoʻohana 'ia i loko o ke mele. Ua huli mai ia i ka mea hana ka loa, he pono ole keia gula ke ano. I ke kakahiaka nui 20th kenekulia, ma ka halawai o ka Moscow wahine kaiapili Ua i ma ka memo i loaʻa ka 'ikepili no ka mea i ka hoʻohana' ana o ke gula pauku i loko o mele. Message me ka nui hoopanee Hoolohe aku la i na lala o ka wahine p ÷ ai i ka haku mele Rachmaninov, Taneyev, R. Glier a me na mea e ae. Report musicologist Rozenova Hai "Ke kānāwai o ka pauku gula i loko o ke mele a me ka poetry, "kau iho la i ke kahua no ka hoʻopaʻa 'ana i makemakika lauana e pili ana i ke gula lākiō, i loko o ke mele. He ua kālailai i nā mea hana o Mozart, Bach, Beethoven, Wagner, Chopin, Glinka a me nā i ka haku mele, a ua hoike mai ia i loko o kā lākou mau hana, he mea keia "Akua ke ano".

Ke culmination o na apana o ke mele mea,ʻaʻole i loko o ka konu, akā, iki offset hiki i ka hopena huahana i loko o ka lākiō o 62:38 - ka mea, o ka wahi o ka mea gula lākiō. Kauka o Arts, Kumu L. Mazel i kekahi këia vosmitaktnye mele ma Chopin, Beethoven, Scriabin, ma na hana o kēia i ka haku mele climax, i hookuu e kau mai maluna o ka nawaliwali kui iho o ka lima, a mea i ka maka o ka mea gula pauku - 5/8. L. Mazel manaoio i aneane na haku mele - follower harmonic kaila, e hiki ke 'imi i na wahine' ole: iʻelima hoʻi kī, a ekolu ke eaʻe hanauna hahau ana. Ua paipai i ke ano o ke gula pauku i 'Imi i hoʻohanaʻia i ka haku mele consciously paha unconsciously. Paha, e like me ka hoʻoponoponoʻana o Kamehameha mall o ka Naauao o kekahi'āpana o ke mele, oia ka harmonious leo a me ka mea naʻau.

A mea like o ka mea hana i ka hōʻike 'ia nei i loko o kā lākou gula hiʻohiʻona i lawe i ka haku mele a me ka musicologist L. Sabaneev. na hana e pili ana i nā tausani o kekahi i ka haku mele He aʻo, a hiki i ka hopena e ma kahi o 75% o ka pauku gula mea i loaʻa i loko o ka apana o ka mele ma ka liʻiliʻi loa hookahi. Ka nui loa ka helu o nā huahana ma a me ka gula lākiō, ka mea, ua hoʻomaopopo mai i ka haku mele e like me Arenskii (95%), Beethoven (97%), Haydn (97%), Mozart (91%), Skryabin (90%), Chopin ( 92%), Schubert (91%). I ka loa a ua hoʻopili loa ia i aʻo Chopin ka etudes, a hiki i ka hopena i ke gula lākiō i manao i loko o 24 sketches o 27. wale ekolu etudes ma Chopin gula ke ano iʻaʻole i loaʻa. I kekahi manawa, ai ka 'ole o ka puolo apana hui pūʻia nā symmetry a me ka gula lākiō. No ka laʻana, he nui na hana o Beethoven i puʻunaue i symmetrical māhele, a me ka gula lākiō i hoikeia ma kela a me keia o ia mau mea.

No laila, ua hiki ke olelo aku i ke alo o ka pauku gula i loko o ka'āpana o ke mele i kekahi o nā ana hoʻohālike o ka aloha o ka wahine haku mele 'ana.