Golden seem txoj kev nyob rau hauv cov suab paj nruas tej hauj lwm

"Golden Section" - ib tug tswvyim es zauv thiab kawm nws - cov hauj lwm ntawm kev kawm. Qhov no division tej magnitude rau hauv ob qhov chaw nyob rau hauv xws li ib tug ratio, thaum bolshaya feem thiaj li yuav xa mus rau sab raws li ib tug tag nrho rau siab. Qhov no piv sib npaug zos rau cov transcendental tooj F = 1.6180339 ... uas tsimnyog zog.

txoj kev kub seem - ib tug nrhiav kev ua qhov tseem ceeb ntawm ib tug muab luv. Qhov no yog raws li nyob rau hauv lub hauv paus ntsiab lus ntawm faib lub ya nyob rau hauv lub thiaj li hu ua Golden ratio. Cov feem ntau lug nws tau txais mus nrhiav huab tseem ceeb nyob rau hauv kev daws teeb meem hais txog optimization. Nyob rau hauv tas li ntawd mus kawm txog zauv, cov golden seem txoj kev yog siv nyob rau hauv ntau yam teb xws li los ntawm architecture, kos duab thiab xaus nrog astronomy. Piv txwv li, tus naas ej Soviet thawj coj Sergey Eyzenshteyn siv nws nyob rau hauv nws zaj duab xis "Battleship Potemkin" thiab Leonardo da Vinci - thaum uas sau ntawv lawv naas ej "Mona Lisa".

Cov kev golden seem yog siv nyob rau hauv cov suab paj nruag. Nws muab tawm hais tias lub suab paj nruas tej hauj lwm yog heev no golden kev faib ua feem. Nyob rau hauv thaum ntxov xyoo pua 20th, nyob hauv ib tug lub rooj sib tham ntawm lub Moscow suab paj nruas vajvoog yog ua los ntawm ib cov lus uas muaj cov lus qhia txog dab tsi yog qhov siv kub seem nyob rau hauv suab paj nruag. Lus nrog zoo txaus siab mloog cov tswv cuab ntawm cov suab paj nruas vajvoog composers Rachmaninov, Taneyev, R. Glier thiab lwm tus neeg. Daim ntawv qhia txog musicologist Rozenova EK "Txoj cai ntawm lub golden seem nyob rau hauv cov suab paj nruag thiab paj huam, "nteg lub lub hauv paus rau txoj kev tshawb no ntawm zauv qauv muaj feem xyuam rau cov golden ratio, nyob rau hauv cov suab paj nruag. Nws analyzed cov suab paj nruas tej hauj lwm ntawm Mozart, Bach, Beethoven, Wagner, Chopin, Glinka thiab lwm yam composers, thiab pom tias nyob rau hauv lawv tej hauj lwm no muaj "divine kev faib ua feem".

Lub culmination ntawm ntau daim ntawm cov suab paj nruag yog tsis nyob rau hauv qhov chaw, tab sis me ntsis offset mus rau thaum xaus cov khoom nyob rau hauv ib qho ratio ntawm 62:38 - nws yog tus taw tes ntawm cov golden ratio. Tus kws kho mob of Arts, xibfwb L. Mazel pom kawm vosmitaktnye suab paj nruag los Chopin, Beethoven, Scriabin, nyob rau hauv ntau tej hauj lwm ntawm cov composers kawg nkaus, feem ntau ntog rau tus qaug khiav nrawm ntawm lub thib tsib, uas yog lub taw tes rau ntawm lub golden seem - 5/8. L. Mazel ntseeg hais tias yuav luag txhua txhua composer - Follower harmonic style, koj muaj peev xwm nrhiav tau xws li suab paj nruas qauv: tsib tuav thiab peb nqa qhovntsej thiaj tsis mob stroke. Qhov no qhia tias cov qauv ntawm cov golden seem twb nquag siv los ntawm composers consciously los looj hlias. Tej zaum, xws li ib tug yam ntxwv kev kho ntawm lub highlights ntawm ib daim ntawm cov suab paj nruag muab ib tug harmonious laus thiab lub siab lub ntsws.

Ib tug loj kev tshawb no ntawm cov suab paj nruas tej hauj lwm rau zaub nyob rau hauv lawv golden piv tau noj ib tug composer thiab musicologist L. Sabaneev. Nws kawm txog ob txhiab tej hauj lwm sib txawv ntawm cov composers thiab tuaj mus rau lub xaus hais tias hais txog 75% ntawm cov golden seem yog tam sim no nyob rau hauv ib daim ntawm cov suab paj nruag tsawg kawg ib zaug. Qhov loj tshaj plaws pes tsawg tus ntawm cov khoom nyob rau hauv uas muaj raws li qhov golden ratio, nws yog muab sau los ntawm composers xws li Arenskii (95%), Beethoven (97%), Haydn (97%), Mozart (91%), Skryabin (90%), Chopin ( 92%), Schubert (91%). Qhov tseem zoo nws kawm Chopin lub Etudes, thiab tuaj mus rau lub xaus hais tias cov golden piv tau txiav txim nyob rau hauv 24 sketches ntawm 27. Tsuas peb Etudes los ntawm Chopin golden kev faib ua feem twb tsis pom. Tej zaum cov qauv ntawm cov suab paj nruag daim muaj ob symmetry thiab golden ratio. Piv txwv li, muaj ntau tej hauj lwm ntawm Beethoven muab faib mus rau hauv symmetrical qhov chaw, thiab lub golden piv qhia nyob rau hauv txhua ntawm lawv.

Yog li ntawd, peb yuav hais tias cov xub ntiag ntawm lub golden seem nyob rau hauv ib daim ntawm cov suab paj nruag yog ib yam ntawm cov txheej xwm ntawm kev sib raug zoo ntawm ib suab paj nruas muaj pes tsawg leeg.