Symmetrical frets |

li-symmetrical frets - li-frets, litekanyo tsa tsona li itšetlehile ka karohano e lekanang ea octave. Joalo ka litlatse tse ling, S. L. li hahiloe motheong oa setsi se itseng. element (e khutsufalitsoeng joalo ka CE). Leha ho le joalo, ho fapana, ka mohlala, ho tloha ho tse kholo kapa tse nyenyane, S. l. ha li thehoe motheong oa triad e kholo kapa e nyane, empa motheong oa consonance (kapa likamano tse bohareng) tse bakoang ke karohano ea li-semitone tse 12 ho likarolo tse 2, 3, 4 kapa 6 tse lekanang. Ka hona, menyetla e 4 - 12: 6, 12: 4, 12: 3, 12: 2 'me, ho latela, 4 ea sehlooho. mofuta S. l. Li rehiloe ho latela CE ea tsona (feela joalo ka ha e kholo e rehiloe ka CE - triad e kholo): I - molumo o felletseng (CE 12: 6 = molumo o felletseng oa molumo o tšeletseng); II - e fokotsehile, kapa e tlaase-frequency (CE 12: 4 = bohlale bo supileng chord); III - ho eketseha, kapa ho feta (CE 12: 3 = ho eketseha ha triad); IV - tritone (kapa mokhoa o habeli, lentsoe la BL Yavorsky) (CE 12: 2 = tritone). Ho itšetlehile ka e khethehileng. meaho ea sekala III le IV mefuta ea frets e arotsoe ka tse 'maloa. mefuta-futa. Ho ea ka khopolo, karohano 12:12 e fana ka mofuta o mong hape oa S. l. (V) - ho fokotsa, empa ho se na thepa. sebopeho mme ka hona e eme ka thoko. Tafole ea Pivot S. l.:

Tlhaloso ea Theory S. ea l. amohela tumellanong le bokgabane. litloaelo tsa khopolo ea likarolo, tse li kenyang kamanong ea tlhaho le mefuta e meng ea mekhoa ea mekhoa - mekhoa ea tsamaiso e kholo-e nyenyane le Mehla e Bohareng. tsieleha. Tlhaloso e tloaelehileng ho bohle ke hore mofuta o mong le o mong oa mokhoa, ho itšetlehile ka CE ea oona, o lumellana le e 'ngoe ea tsoelo-pele ea lipalo e tsejoang ho tloha khale - arithmetic, harmonic le geometric. Letoto la linomoro tse entsoeng ke bona, tse fanang ka CE ea e 'ngoe le e' ngoe ea litsamaiso tsena, li fanoa ho latela li-coefficients tsa linomoro. ho feto-fetoha ha maemo.

Mehlala ea kopo S. l. ho liter-re ea 'mino (linomoro li bontša linomoro tsa S. l. mohlaleng oa 'mino):

1. MI Glinka. "Ruslan le Lyudmila", tekanyo ea Chernomor. 2. NA Rimsky-Korsakov. "Sadko", penta ea bobeli. 2. NA Rimsky-Korsakov. "Golden Cockerel", mokoko o lla (nomoro ea 3, mekoallo 76-5). 10. NA Rimsky-Korsakov. "Snow Maiden", sehlooho sa Leshy (linomoro 4-56). 58. AN Cherepnin. Ho ithuta ka piano. op. 5 no 56. 4. IP Stravinsky. "Firebird" (nomoro 6-22). 29. HAEBA Stravinsky. "Parsley", sehlooho sa Petrushka (bona ho Art. Polyaccord). 7. SV Protopopov. "Crow le Cancer" bakeng sa lentsoe le nang le piano. 8. O. Messia. "9 maikutlo ...", No 20 (bona sengoloa Polymodality). 5. AK Lyadoi. "Ho tloha ho Apocalypse" (nomoro ea 10). 7. O. Messia. L'Ascension bakeng sa setho, mokhatlo oa 11. 4. A. Webern. Phapang bakeng sa fp. op. 12, karolo ea 27 (bona ho Art. Dodecaphony).

Sheba hape lingoloa Mokhoa oa Tritone, Mokhoa o ekelitsoeng, Mokhoa o fokotsehileng, Mokhoa oa molumo o felletseng.

S. l. - e 'ngoe ea mefuta ea mekhoa (modality) hammoho le pentatonic, diatonic, decomp. mefuta e rarahaneng. S. l. e arotsoe ho tsoa ho litsamaiso tse tloaelehileng tsa Europe tsa tse kholo le tse nyane (li-preforms tsa sl li fetisa tatellano, lipotoloho tse lekanang tsa tonalities, figuration, le anharmonicity ea li-consonance tsa nako e lekanang). Mehlala ea pele ea S. l. li na le tlhaho e sa reroang (ea pele, pele ho 1722, ho sarabande ea 3rd English suite ea JS Bach, bar 17-19: des2 (ces2)-bl-as1-g1-f1-e1-d1-cis1. Tšebeliso ea C L. e le mokhoa o ikhethileng oa ho hlalosa o qalile lekholong la bo19 la lilemo (mokhoa o eketsehang le sekala sa molumo o felletseng ka bass Sanctus of the mass Es-dur ka Schubert, 1828; mokhoa o ntseng o eketseha le sekala sa molumo o felletseng ho bass ho opera God and Bayadere ka Auber, 1830, ka 1835 poso St. Petersburg tlas'a sehlooho se reng La Bayadère in Love; hape ke Chopin). puo ea 'mino,' me e amanang le thahasello ho seo e seng puo esele.) AN Verstovsky, MI Glinka, AS Dargomyzhsky, NA Rimsky-Korsakov, PI Tchaikovsky, AK Lyadov, VI Rebikov, AN Skryabin, IF Stravinsky, AN Cherepnin, hape le SS Prokofiev, N. Ya. Myaskovsky, DD Shostakovich, SV Protopopov, MIVerikovsky, SE Feinberg, AN Alexandrov le ba bang. baqapi ba S. l. F. Liszt, R. Wagner, K. Debussy, B. Bartok a bua; haholo-holo ka bophara le ka ho qaqileng S. l. e ntlafalitsoeng ke O. Messiaen. Ka khopolo ea 'mino S. ea l. qalong li ne li hlalosoa e le mekhoa e khethehileng ea basele (ka mohlala, ho G. Kapellen, 1908, "'mino oa Sechaena oa molumo o feletseng" o ile oa bontšoa ka lisampole tse entsoeng ke mongoli e le "exoticism e feteletseng"). Ho 'mino oa theory oa Serussia tlhaloso ea pele ea S. l. (tlas'a lebitso la "circle" modulating tatellano, "li-circles" tsa tse kholo le tse nyane tse tharo) ke tsa Rimsky-Korsakov (1884-85); tlhaloso ea pele ea theory S. ea l. e hlahisitsoe ke BL Yavorsky qalong. Lekholong la bo20 la lilemo Ho tsoa mose. bateori ba khopolo ea S. l. e ntlafalitsoeng haholo-holo ke Messiaen ("Modes of Limited Transposition", 1944) le E. Lendvai ("System of Axes", ka mohlala oa 'mino oa Bartok, 1957).

References: Rimsky-Korsakov NA, Buka e sebetsang ea ho lumellana, St. Petersburg, 1886, e tšoanang, Poln. kolla. joalo., vol. IV, M., 1960; Yavorsky BL, Sebopeho sa puo ea 'mino, likarolo tsa 1-3, (M., 1908); Kastalsky AD, Likarolo tsa tsamaiso ea 'mino oa setso-Serussia, M. - Pg., 1923, 1961; AM, A. Cherepnin (notography), "Contemporary Music", 1925, No 11; Protopopov SV, Lintlha tsa sebopeho sa puo ea 'mino, likarolo tsa 1-2, M., 1930; Tyutmanov IA, Likarolo tse ling tsa mokhoa oa modal-harmonic oa HA Rimsky-Korsakov, bukeng: Lintlha tsa saense le tsa mokhoa oa naha ea Saratov. conservatory, vol. 1-4, Saratov, 1957-61; Budrin B., Lipotso tse ling tsa puo ea harmonic ea Rimsky-Korsakov lipapaling tsa opera karolong ea pele ea 90s, Proceedings of the Department of Music Theory of the Moscow Conservatory, vol. 1, 1960; Sposobin IV, Lipuo tse mabapi le ho lumellana, M., 1969; Kholopov Yu. N., Mekhoa ea Symmetric ho litsamaiso tsa theory tsa Yavorsky le Messiaen, bukeng: Music and Modernity, vol. 7, M., 1971; Mazel LA, Mathata a kutloano ea khale, M., 1972; Tsukkerman VA, Lipotso tse ling tsa kutloano, bukeng ea hae: Musical-theoretical essays and etudes, vol. 2, M., 1975; Capellen G., Ein neuer exotischer Musikstil, Stuttg., 11; hae, Fortschrittliche Harmonie- und Melodielehre, Lpz., 1906; Busoni F., Entwurf einer neuen Дsthetik der Tonkunst, Triest, 1908 (phetolelo ea Serussia: Busoni F., Sketch of aesthetics e ncha ea bonono ba 'mino, 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, ka: Byla Bartuk. Weg und Werk, Bdpst, 1944; Reich W., Alexander Tcsherepnin, Bonn, (1957).

Yu. H. Kholopov