Zovuta za Symmetrical |

ma symmetrical zovuta - frets, miyeso yomwe imachokera kugawidwa kofanana kwa octave. Mofanana ndi zovuta zina, S. L. amamangidwa pamaziko a malo enaake. chinthu (chofupikitsidwa ngati CE). Komabe, mosiyana, mwachitsanzo, kuchokera ku zazikulu kapena zazing'ono, S. l. amapangidwa osati pamaziko a utatu waukulu kapena waung'ono, koma pamaziko a consonance (kapena ubale wapakati) chifukwa cha kugawikana kwa ma semitone 12 kukhala 2, 3, 4 kapena 6 magawo ofanana. Chifukwa chake 4 zotheka - 12: 6, 12: 4, 12: 3, 12: 2 ndipo, molingana, 4 zazikulu. mtundu S.l. Amatchulidwa molingana ndi CE (monga momwe wamkulu amatchulidwira CE - atatu atatu): I - toni yonse (CE 12: 6 = lonse-tone six-tone); II - kuchepetsedwa, kapena kutsika kwafupipafupi (CE 12: 4 = smart 12 chord); III - kuwonjezeka, kapena kukulirapo (CE 3: 12 = kuwonjezeka katatu); IV - tritone (kapena kawiri mode, mawu a BL Yavorsky) (CE 2: 12 = tritone). Kutengera mwachindunji. Zomangamanga za sikelo III ndi IV mitundu ya frets imagawidwa m'magulu angapo. subtypes. Mwachidziwitso zotheka magawano 12:XNUMX amapereka mtundu winanso wa S. l. (V) - kuchepetsa, koma opanda katundu. zomangika motero kuyimirira padera. Pivot tebulo S. l.:

Kufotokozera kwa Theoretical S. l. kulandira mogwirizana ndi kukongola. miyambo ya chiphunzitso cha chiwerengero, chomwe chimawaika mu kugwirizana kwachilengedwe ndi mitundu ina ya machitidwe a modal - machitidwe a machitidwe akuluakulu ang'onoang'ono ndi Middle Ages. kukhumudwa. Kufotokozera komwe kumadziwika kwa onse ndikuti mtundu uliwonse wamayendedwe, kutengera CE, umagwirizana ndi kupitilira kwa manambala komwe kumadziwika kuyambira kale - masamu, ma harmonic ndi geometric. Mndandanda wa manambala wopangidwa ndi iwo, womwe umapatsa CE wa chilichonse mwa machitidwewa, amaperekedwa malinga ndi ma coefficients a manambala. kusinthasintha.

Zitsanzo za ntchito S. l. mu nyimbo litre-re (zinambala zimasonyeza manambala a S. L. mu chitsanzo chanyimbo):

1. MI Glinka. "Ruslan ndi Lyudmila", mlingo wa Chernomor. 2. NA Rimsky-Korsakov. "Sadko", 2 penti. 3. NA Rimsky-Korsakov. "Golden Cockerel", tambala akulira (nambala 76, mipiringidzo 5-10). 4. NA Rimsky-Korsakov. "Snow Maiden", mutu wa Leshy (nambala 56-58). 5. AN Cherepnin. Phunzirani piyano. op. 56 no 4. 6. IP Stravinsky. "Firebird" (Numeri 22-29). 7. NGATI Stravinsky. "Parsley", mutu wa Petrushka (onani mu Art. Polyaccord). 8. SV Protopopov. "Khwangwala ndi Khansa" pamawu okhala ndi piyano. 9. O. Mesiya. "20 mawonedwe ...", No 5 (onani nkhani Polymodality). 10. AK Lyadoi. "Kuchokera ku Apocalypse" (nambala 7). 11. O. Mesiya. L'Ascension for Organ, 4th movement. 12. A. Webrn. Kusintha kwa fp. op. 27, gawo la 4 (onani mu Art. Dodecaphony).

Onaninso zolemba za Tritone mode, Kuchulukitsa kwamtundu, Kuchepetsa, mawonekedwe amtundu wonse.

S. l. - imodzi mwa mitundu ya ma modality (modality) pamodzi ndi pentatonic, diatonic, decomp. zovuta zovuta. S. l. zochokera ku machitidwe wamba a ku Europe akuluakulu ndi ang'onoang'ono (ma preforms a sl ndikusintha motsatizana, mikombero yofanana ya ma tonalities, figuration, and anharmonicity of equal-interval consonances). Zitsanzo zoyamba za S. l. ndi zachisawawa m'chilengedwe (zoyambirira, 1722 isanafike, mu sarabande ya 3rd English suite ya JS Bach, mipiringidzo 17-19: des2 (ces2) -bl-as1-g1-f1-e1-d1-cis1. Kugwiritsa ntchito C L. monga njira yapadera yofotokozera idayamba m'zaka za zana la 19 (kuchuluka kwamawonekedwe ndi sikelo yamtundu wonse mu bass Sanctus of the mass Es-dur lolemba Schubert, 1828; kuchuluka kwamawonekedwe ndi kamvekedwe ka mawu onse mu bass mu opera Mulungu ndi Bayadere wolemba Auber, 1830, mu 1835 positi ku St. Petersburg pansi pa mutu wakuti La Bayadère mu Chikondi; komanso Chopin). Dargomyzhsky, NA Rimsky-Korsakov, PI Tchaikovsky, AK Lyadov, VI Rebikov, AN Skryabin, IF Stravinsky, AN Cherepnin, komanso SS Prokofiev, N. Ya. Myaskovsky, DD Shostakovich, SV Protopopov, MIVerikovsky, SE Feinberg, AN Alexandrov ndi ena. olemba kwa S. l. F. Liszt, R. Wagner, K. Debussy, B. Bartok analankhula; makamaka kwambiri komanso mwatsatanetsatane S. l. opangidwa ndi O. Messiaen. Mu chiphunzitso cha nyimbo S. cha l. poyambirira adafotokozedwa ngati mitundu yapadera yachilendo (mwachitsanzo, ku G. Kapellen, 1908, "nyimbo zaku China zonse" zidawonetsedwa pazitsanzo zopangidwa ndi wolemba ngati "exoticism yoopsa"). Mu Russian theoretical musicology kufotokoza koyamba kwa S. L. (pansi pa dzina loti "zozungulira" modulating amatsatizana, "zozungulira" zazikulu ndi zazing'ono pa atatu pa atatu) ndi Rimsky-Korsakov (1884-85); kufotokozera koyamba kwa S. l. adafunsidwa ndi BL Yavorsky pachiyambi. Zaka za zana la 20 Kuchokera kunja. okhulupirira chiphunzitso cha S. l. opangidwa makamaka ndi Messiaen ("Modes of Limited Transposition", 1944) ndi E. Lendvai ("System of Axes", pa chitsanzo cha nyimbo za Bartok, 1957).

Zothandizira: Rimsky-Korsakov NA, Buku Lothandiza la mgwirizano, St. Petersburg, 1886, mofanana, Poln. coll. izi., vol. IV, M., 1960; Yavorsky BL, Kapangidwe ka mawu oimba, magawo 1-3, (M., 1908); Kastalsky AD, Zochitika za nyimbo za anthu a ku Russia, M. - Pg., 1923, 1961; AM, A. Cherepnin (notography), "Contemporary Music", 1925, No 11; Protopopov SV, Zinthu za kapangidwe ka mawu oimba, magawo 1-2, M., 1930; Tyutmanov IA, Zina mwa mawonekedwe a modal-harmonic a HA Rimsky-Korsakov, m'buku: Zolemba za Sayansi ndi Methodological za boma la Saratov. Conservatory, vol. 1-4, Saratov, 1957-61; Budrin B., Mafunso ena a chinenero cha Harmonic cha Rimsky-Korsakov mu zisudzo mu theka loyamba la 90s, Proceedings of the Department of Music Theory of the Moscow Conservatory, vol. 1, 1960; Sposobin IV, Nkhani za mgwirizano, M., 1969; Kholopov Yu. N., Symmetric modes mu theoretical systems of Yavorsky and Messiaen, mu bukhu: Music and Modernity, vol. 7, M., 1971; Mazel LA, Mavuto ogwirizana akale, M., 1972; Tsukkerman VA, Mafunso ena ogwirizana, m'buku lake: Musical-theoretical essays and etudes, vol. 2, M., 1975; Capellen G., Ein neuer exotischer Musikstil, Stuttg., 11; wake, Fortschrittliche Harmonie- und Melodielehre, Lpz., 1906; Busoni F., Entwurf einer neuen Дsthetik der Tonkunst, Triest, 1908 (Kumasulira kwa Chirasha: Busoni F., Sketch of aesthetics yatsopano ya luso loimba nyimbo, 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, mu: Byla Bartuk. Weg und Werk, Bdpst, 1944; Reich W., Alexander Tcsherepnin, Bonn, (1957).

Yu. H. Kholopov