Sistimi ea Pythagorean |
Sistimi ea Pythagorean - e entsoe ho latela mokhoa oa lipalo oa Pythagoreans. polelo ea likamano tse tloaelehileng haholo tsa maqhubu (bophahamo) lipakeng tsa methati ea mmino. litsamaiso. Bo-rasaense ba bang ba Bagerike ba netefalitse ka matla hore 2/3 ea khoele e otlolletsoeng holim'a monochord, e thothomelang, e fana ka molumo o hlakileng oa bohlano ka holim'a setsi. lentsoe, “ho tsoa ho sisinyeha ha khoele kaofela, 3/4 ea khoele e fana ka quart, ’me halofo ea khoele e fana ka octave. Ho sebelisa lipalo tsena, Ch. arr. ea bohlano le ea octave, o ka bala melumo ea diato-nich. kapa chromatic. gamma (ka likaroloana tsa khoele, kapa ka mokhoa oa li-coefficients tsa nakoana tse bontšang karo-karolelano ea maqhubu a oscillation ea molumo o ka holimo ho ea ho ea tlaase, kapa ka mokhoa oa tafole ea maqhubu a molumo oa ho thothomela). Mohlala, sekala sa C-dur se tla fumana ho P. s. polelo e latelang:
Ho ea ka tšōmo, P. s. pele e fumanoe e sebetsa. ho sebetsa ha ho letsa harepa ea Orpheus. Dr. Greece, e ne e sebelisetsoa ho lekanya kamano ea molumo pakeng tsa melumo ha ho lokisoa cithara. Ka Laboraro. lekholong la lilemo la lilemo, tsamaiso ena e ne e sebelisoa haholo bakeng sa ho lokisa litho tsa 'mele. P. s. e ile ea sebeletsa e le motheo oa ho hahoa ha litsamaiso tsa molumo ke litsebi tsa likhopolo-taba tsa Bochabela. Mehla e Bohareng (mohlala, Jami ho Treatise on Music, halofo ea 2 ea lekholo la bo15 la lilemo). Ka nts'etsopele ea polyphony, likarolo tse itseng tsa bohlokoa tsa P. s li ile tsa senoloa: molumo oa lentsoe la tsamaiso ena hantle o bonahatsa likamano tse sebetsang pakeng tsa melumo ea melodic. tatelano, haholo-holo, hatisa, matlafatsa semitone matla a khoheli; ka nako e ts'oanang, ka har'a li-harmonics tse ngata. li-consonance, li-intonation tsena li nkoa e le tse thata haholo, tsa bohata. Tsamaisong e hloekileng, kapa ea tlhaho, li-harmonics tsena tse ncha, tse ikhethang, li ile tsa khetholloa. tloaeleha ea lentsoe la bobolokelo: e fokotsehile (ha e bapisoa le P. s.) b. 3 le b. 6 le ho atolosoa m. 3 le m. 6 (5/4, 5/3, 6/5, 8/5, ka ho latellana, sebakeng sa 81/64, 27/16, 32/27 le 128/81 ho P. s). Tsoelo-pele e tsoelang pele ea polyphony, ho hlaha ha likamano tse ncha, tse rarahaneng haholoanyane tsa tonal, le tšebeliso e pharaletseng ea melumo e lekanang ea enharmonic e fokotsa bohlokoa ba li-phonatory s; ho ile ha fumaneha hore P. s. - sistimi e bulehileng, ke hore, ho eona karolo ea bohlano ea bohlano ha e tsamaellane ka bophahamo le molumo oa mantlha (mohlala, e fetoha e phahameng ho feta c ea pele ka nako e bitsoang comma ea Pythagorean mme e lekana le hoo e ka bang 12/1. ka molumo o feletseng); ka hona, P. s. ha e khone ho sebelisoa bakeng sa li-enharmonics. modulations. Boemo bona bo ile ba etsa hore ho be le mokhoa o tšoanang oa boitšoaro. Ka nako e ts'oanang, joalokaha ho bontšoa ke lipatlisiso tsa acoustic, ha u bapala liletsa tse nang le molumo o sa tsitsitseng oa molumo (mohlala, violin) otd. intonation P. s. fumana ts'ebeliso ka har'a moralo oa sistimi ea libaka. Phapang. cosmological, geometric likhopolo tse ileng tsa hlaha nakong ea ho bōpa P. s li lahlehetsoe ke moelelo oa tsona ka ho feletseng.
References: Garbuzov NA, tlhaho ea Zonal ea kutlo ea molumo, M.-L., 1948; Musical Acoustics, ed. E hlophisitsoeng ke NA Garbuzova. Moscow, 1954. Botle ba 'mino oa khale. Selelekela. moqoqo le pokello ea litemana tsa AF Losev, Moscow, 1961; Barbour JM, Ho phehella ha tsamaiso ea Pythagorean tuning, "Scripta mathematica" 1933, v. 1, no 4; Bindel E., Die Zahlengrundlagen der Musik im Wandel der Zeiten, Bd 1, Stuttg., (1950).
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