Ama-Symmetrical frets |

ama-symmetrical frets - ama-frets, izikali zazo ezisekelwe ekuhlukaniseni okulinganayo kwe-octave. Njengamanye ama-frets, u-S. zakhiwe ngesisekelo sesikhungo esithile. isici (sifushaniswe ngokuthi CE). Nokho, ngokungafani, isibonelo, kusukela ezinkulu noma ezincane, S. l. akhiwa hhayi ngesisekelo sonxantathu omkhulu noma omncane, kodwa ngesisekelo songwaqa (noma ubudlelwano obumaphakathi) obubangelwa ukuhlukaniswa kwama-semitone angu-12 abe izingxenye ezilinganayo ezi-2, 3, 4 noma ezingu-6. Ngakho-ke 4 amathuba - 12: 6, 12: 4, 12: 3, 12: 2 futhi, ngokufanele, 4 main. uhlobo S. l. Ziqanjwe ngokwe-CE yazo (njengoba nje enkulu iqanjwe nge-CE yayo - unxantathu omkhulu): I - ithoni ephelele (CE 12: 6 = ithoni egcwele ithoni eyisithupha); II - ukunciphisa, noma i-low-frequency (CE 12: 4 = i-smart chord yesikhombisa); III - ukwanda, noma ama-terts amakhulu (CE 12: 3 = ukwanda kwe-triad); IV – i-tritone (noma imodi ephindwe kabili, igama elithi BL Yavorsky) (CE 12: 2 = tritone). Kuye ngokuthile. izakhiwo zesikali III kanye IV izinhlobo frets zihlukaniswe eziningana. ama-subtypes. Ngokucatshangelwa ukuthi ukuhlukana okungaba khona 12:12 kunikeza olunye uhlobo lwe-S. l. (V) - ukukhawulela, kodwa ngaphandle kwempahla. ngesakhiwo ngakho-ke ukuma ngokwehlukana. Ithebula le-Pivot S. l.:

Incazelo yethiyori S. ye-l. thola ngokuhambisana nobuhle. amasiko e-theory of proportions, okubabeka ekuxhumaneni kwemvelo nezinye izinhlobo zezinhlelo ze-modal - izindlela zesistimu enkulu-encane kanye neNkathi Ephakathi. ukukhathazeka. Incazelo evamile kubo bonke ukuthi uhlobo ngalunye lwemodi, kuye ngokuthi i-CE yalo, luhambisana nokuqhubeka kwezinombolo ezaziwa kusukela kudala - i-arithmetic, i-harmonic ne-geometric. Uchungechunge lwezinombolo olwakhiwe yibo, olunikeza i-CE ngayinye yalezi zinhlelo, lunikezwa ngokuya ngama-coefficients wezinombolo. ukushintshashintsha.

Izibonelo zohlelo lokusebenza S. l. ku-litre-re yomculo (izinombolo zibonisa izinombolo zika-S. l. esibonelweni somculo):

1. MI Glinka. "Ruslan noLyudmila", isikali seChernomor. 2. NA Rimsky-Korsakov. "Sadko", umdwebo 2. 3. NA Rimsky-Korsakov. "I-Golden Cockerel", iqhude liyakhala (inombolo 76, imigoqo 5-10). 4. NA Rimsky-Korsakov. "Snow Maiden", itimu Leshy (izinombolo 56-58). 5. I-Cherepnin. Funda upiyano. op. 56 no 4. 6. IP Stravinsky. "I-Firebird" (izinombolo 22-29). 7. UMA Stravinsky. "I-Parsley", ingqikithi yePerushka (bheka ku-Art. Polyaccord). 8. SV Protopopov. "Crow and Cancer" ngezwi ngepiyano. 9. O. Mesiya. "20 ukubukwa...", Cha 5 (bona isihloko Polymodality). 10. AK Lyadoi. "Kusukela ku-Apocalypse" (inombolo 7). 11. O. Mesiya. I-L'Ascension yesitho, ukunyakaza kwesi-4. 12. A. Webrn. Izinguquko ze-fp. op. 27, ingxenye yesi-4 (bheka ku-Art. Dodecaphony).

Bheka futhi izindatshana Imodi ye-Tritone, Imodi ekhulisiwe, Imodi encishisiwe, Imodi yethoni ephelele.

S. l. - enye yezinhlobo ze-modality (i-modality) kanye ne-pentatonic, i-diatonic, i-decomp. uhlobo lwama-frets ayinkimbinkimbi. S. l. ihlukaniswe ezinhlelweni ezivamile zaseYurophu ezinkulu nezincane (i-preforms ye-sl idlulisa ukulandelana, imijikelezo elinganayo yamathonithi, umfanekiso, kanye nokuvumelana kongwaqa wesikhawu esilinganayo). Amasampula okuqala ka-S. l. azihleliwe ngokwemvelo (okokuqala, ngaphambi kuka-1722, ku-sarabande ye-3rd English suite ye-JS Bach, imigoqo 17-19: des2 (ces2)-bl-as1-g1-f1-e1-d1-cis1. Ukusetshenziswa kwe-C L. njengendlela ekhethekile evezwayo yaqala ngekhulu le-19 (imodi ekhulayo kanye nesikali sethoni yonke ku-bass Sanctus of the mass Es-dur ka-Schubert, 1828; imodi ekhuphukile kanye nesikali sethoni ephelele ku-bass ye-opera God and U-Bayadere ka-Auber, 1830, ngo-1835 okuthunyelwe e-St. Petersburg ngaphansi kwesihloko esithi La Bayadère e-Love; futhi nguChopin). Dargomyzhsky, NA Rimsky-Korsakov, PI Tchaikovsky, AK Lyadov, VI Rebikov, AN Skryabin, IF Stravinsky, AN Cherepnin, kanye SS Prokofiev, N. Ya. Myaskovsky, DD Shostakovich, SV Protopopov, MIVerikovsky, SE Feinberg, AN Alexandrov nabanye. abaqambi be-S. F. Liszt, R. Wagner, K. Debussy, B. Bartok owethulwe; ikakhulukazi kabanzi futhi ngokuningiliziwe S. l. ithuthukiswe ngu-O. Messiaen. Emculweni wethiyori ka-S. ekuqaleni zachazwa njengezindlela ezikhethekile zangaphandle (isibonelo, ku-G. Kapellen, 1908, "umculo wamaShayina wethoni ephelele" waboniswa kumasampuli aqanjwe umbhali ngokuthi "exoticism eyedlulele"). Ku-musicology yetiyetha yaseRussia incazelo yokuqala ye-S. l. (ngaphansi kwegama elithi “circular” modulating series, “imibuthano” yezingxenye ezintathu ezinkulu nezincane) ekaRimsky-Korsakov (1884-85); incazelo yokuqala yethiyori ka-S. l. yahlongozwa ngu-BL Yavorsky ekuqaleni. Ikhulu lama-20 From phesheya. ama-theorists inkolelo-mbono ka-S. l. ithuthukiswe ngokuyinhloko nguMesiaen (“Izindlela Zokushintshwa Okulinganiselwe”, 1944) kanye no-E. Lendvai (“Uhlelo Lwezimbazo”, ngesibonelo somculo kaBartok, 1957).

References: Rimsky-Korsakov NA, Incwadi ewusizo yokuvumelana, iSt. Petersburg, 1886, efanayo, i-Poln. khola. usho., vol. IV, M., 1960; Yavorsky BL, Isakhiwo senkulumo yomculo, izingxenye 1-3, (M., 1908); I-Kastalsky AD, Izici zesistimu yomculo we-folk-Russian, M. - Pg., 1923, 1961; AM, A. Cherepnin (notography), “Contemporary Music”, 1925, No 11; I-Protopopov SV, Izakhi zesakhiwo senkulumo yomculo, izingxenye 1-2, M., 1930; Tyutmanov IA, Ezinye izici zesitayela se-modal-harmonic se-HA Rimsky-Korsakov, encwadini: Amanothi esayensi kanye nenqubo yesifunda saseSaratov. i-conservatory, vol. 1-4, Saratov, 1957-61; Budrin B., Eminye imibuzo yolimi lwe-harmonic luka-Rimsky-Korsakov kuma-opera engxenyeni yokuqala yama-90s, Izinqubo zoMnyango Wezesayensi Yomculo we-Moscow Conservatory, vol. 1, 1960; Sposobin IV, Izinkulumo ngenkambo yokuvumelana, M., 1969; Kholopov Yu. N., Izindlela ze-Symmetric ezinhlelweni zethiyori zika-Yavorsky no-Mesiaen, encwadini: Umculo kanye Nesimanjemanje, vol. 7, M., 1971; I-Mazel LA, Izinkinga zokuvumelana kwakudala, M., 1972; Tsukkerman VA, Eminye imibuzo yokuvumelana, encwadini yakhe ethi: Musical-theoretical essays and etudes, vol. 2, M., 1975; Capellen G., Ein neuer exotischer Musikstil, Stuttg., 11; yakhe, Fortschrittliche Harmonie- und Melodielehre, Lpz., 1906; Busoni F., Entwurf einer neuen Дsthetik der Tonkunst, Triest, 1908 (inguqulo yesiRashiya: Busoni F., Sketch of aesthetics entsha yobuciko bomculo, St. Petersburg, 1907); Schönberg A., Harmonielehre.W., 1912; Setacio1911i G., Note ed appunti al Trattato d'armonia di C. de Sanctis…, Mil. – NY, (1); Weig1923 B., Harmonielehre, Bd 1-1, Mainz, 2; Hbba A., Neue Harmonielehre…, Lpz., 1925; Messiaen O., Technique de mon langage musical, v. 1927-1, P., (2); Lendvai E., Einführung in die Formenund Harmoniewelt Bartoks, ngo: Byla Bartuk. Weg und Werk, Bdpst, 1944; Reich W., Alexander Tcsherepnin, Bonn, (1957).

Yu. H. Kholopov