Indlela icandelo legolide imisebenzi zomculo

"ICandelo Golden" - ingqiqo kunokuba zemathematika uyifundisise - umsebenzi yenzululwazi. Eli candelo ubukhulu lithile besisihla, singene izahlulo ezibini isilinganiso esinjalo, xa bolshaya isahlulo ukuze ubheke asezantsi ngokubanzi ukuya phezulu. Le ratio lilingana nenani ngokudlul F = 1.6180339 ... kunye iipropati Akumangalisi.

indlela igolide icandelo - uphendlo amaxabiso umsebenzi ngexesha lokuphumla elinikiweyo. Le ndlela isekelwe kumgaqo ngokwahlula icandelo kwi umlinganiselo ekuthiwa-segolide. Eyona ngokubanzi awufumana ukufumana amaxabiso kakhulu ekucombululeni iingxaki ezinxulumene kahle. Ukongeza kwimathematika, indlela icandelo segolide isetyenziswa kwiinkalo ezahlukahlukeneyo ukusuka lwezakhiwo, ubugcisa kunye nesiphelo kunye ngeenkwenkwezi. Umzekelo, edume umlawuli eSoviet Sergey Eyzenshteyn ayelisebenzisa xa umboniso yakhe "wempi Potemkin" kunye noLeonardo da Vinci - xa ubhala yabo edumileyo "Mona Lisa".

Indlela icandelo segolide isetyenziswa umculo. Kwathi kanti loo ndawo imisebenzi zomculo nto eqhelekileyo le golden. Ngenkulungwane yama-20, xa intlanganiso Moscow isangqa zomculo esenziwa umyalezo equlethe ulwazi malunga yintoni na ukusetyenziswa zegolide sigaba ngo umculo. Umyalezo ngomdla omkhulu waliphulaphula amalungu abaqambi isangqa zomculo Rachmaninov, Taneyev, R. Glier kunye nabanye. Ingxelo musicologist Rozenova Ek "Umthetho icandelo segolide umculo kunye nemibongo, "wabeka isiseko isifundo lweepateni zezibalo enxulumene umlinganiselo wegolide, emculweni. Yena ngokuhlalutywa musical imisebenzi onjengokaMozart, Bach, uBeethoven, Wagner, Chopin, Glinka kunye nezinye abaqambi, waza wabonisa ukuba imisebenzi yabo kukho le "inani likaThixo".

Waqalwa amaninzi amaqhosha umculo ayikho na iziko, kodwa lisisiqalo kancinane nemveliso ekupheleni kwindawo umlinganiselo 62:38 - oko ke ingongoma ratio segolide. Doctor of Arts, uNjingalwazi L. Mazel waphawula ukufunda vosmitaktnye umculo ngu Chopin, uBeethoven, Scriabin, kwimisebenzi ezininzi yezi abaqambi uvuthondaba, ngokuqhelekileyo iwela isingqi ezibuthathaka lweyesihlanu, yona ingongoma icandelo segolide - 5/8. L. Mazel wayekholelwa ukuba phantse zonke umqambi - umlandeli isimbo harmonic, unako ukufumana loo isakhiwo somculo: imivalo ezintlanu ezintathu stroke lift ukwehla. Oku kubonisa ukuba indlela yecandelo segolide sasetyenziswa ngokukuko yi abaqambi ngabom okanye ngokuzenzekelayo. Mhlawumbi, ilungiselelo noshowo we iimbalasane ingoma inika ithowuni iyavisisana nangokweemvakalelo.

Uphando kakhulu imisebenzi zomculo ukuze zixhonywe ratio lwabo yegolide uye nomqambi musicologist L. Sabaneev. Wafunda malunga namawaka amabini imisebenzi abaqambi ezahlukeneyo bafika kwisigqibo sokuba malunga ne-75% ye-candelo legolide ekhona iqhekeza lomculo ubuncinane kanye. Eli nani likhulu iimveliso apho ozifezekisayo umlinganiselo wegolide, ziphawuleka ukusuka abaqambi ezifana Arenskii (95%), uBeethoven (97%), Haydn (97%), uMozart (91%), Skryabin (90%), Chopin ( 92%), Schubert (91%). Eyona yinyosi wafunda etudes Chopin kaThixo, bafika kwisigqibo sokuba umlinganiselo segolide wayezimisele ngayo imizobo 24 27. etudes kuphela ezintathu Chopin golden alufumanekanga. Ngamanye amaxesha isakhiwo piece nomculo ofakwe zombini macala kunye ratio segolide. Umzekelo, imisebenzi emininzi bukaBeethoven zahlulo macala, kwaye nomlinganiselo segolide kuboniswa ngamnye kubo.

Ngoko ke, singatsho ukuba ubukho candelo segolide iqhekeza umculo yenye indlela yokuba ukuvisisana sisincoko somculo.