Pūnaehana Pythagorean |
Pūnaehana Pythagorean - hoʻonohonoho ʻia e like me ke ʻano o ka makemakika Pythagoreans. hōʻike i nā pilina maʻamau (kiʻekiʻe) ma waena o nā ʻanuʻu o ke mele. ʻōnaehana. Ua hoʻokūpaʻa ʻia e nā ʻepekema Helene ʻē aʻe ʻo 2/3 o kahi kaula i hoʻopaʻa ʻia ma luna o kahi monochord, vibrated, hāʻawi i kahi kani i ka hapalima maʻemaʻe ma luna o ke kumu. leo, "e puka mai ana mai ka haʻalulu o ke kaula holoʻokoʻa, hāʻawi ka 3/4 o ke kaula i ka kuata, a ʻo ka hapalua o ke kaula - he octave. Ke hoʻohana nei i kēia mau nui, Ch. arr. ʻelima a me ka helu octave, hiki iā ʻoe ke helu i nā kani o ka diato-nich. a i ʻole chromatic. gamma (ma nā hakina o ke kaula, a i ʻole ma ke ʻano o nā coefficients interval e hōʻike ana i ka ratio o ka oscillation frequency o ka leo luna i ka alapine o ka mea haʻahaʻa, a i ʻole ma ke ʻano o ka papa o nā alapine haʻalulu o nā kani). No ka laʻana, e loaʻa i ka pālākiō C-dur ma P. s. ka olelo malalo iho:
Wahi a ka moʻolelo, P. s. ʻike mua i ka hana. no ka hookani ana i ka lira o Orpheus. Ma Dr. In Greece, ua hoʻohana ʻia e helu i ka pilina pitch ma waena o nā kani ke hoʻokani ʻia ka cithara. Ma ka Poakolu. kenekulia, ua hoʻohana nui ʻia kēia ʻōnaehana no ka hoʻoponopono ʻana i nā ʻāpana. P. s. i lilo i kumu no ke kūkulu ʻana i nā ʻōnaehana kani e nā theorists o ka Hikina. Middle Ages (no ka laʻana, ʻo Jami i ka Treatise on Music, 2nd hapa o ke kenekulia 15). Me ka hoʻomohala ʻana o ka polyphony, ua hōʻike ʻia kekahi mau hiʻohiʻona koʻikoʻi o P. s: ʻo ka pitch intonation o kēia ʻōnaehana e hōʻike maikaʻi i nā pilina hana ma waena o nā leo i ka melodic. nā kaʻina hana, e hoʻoikaika, hoʻonui i ka gravity semitone; i ka manawa like, i kekahi mau harmonics. consonances, ua ʻike ʻia kēia mau ʻōlelo he ʻano paʻakikī, wahaheʻe. I loko o kahi ʻōnaehana maʻemaʻe, a kūlohelohe paha, ua ʻike ʻia kēia mau mea hou, ʻano harmonics. hale kūʻai nā manaʻo o ka leo: ua haiki (i ka hoʻohālikelike ʻana me P. s.) b. 3 a me ka b. 6 a hoʻonui i ka m. 3 a me ka m. 6 (5/4, 5/3, 6/5, 8/5, ma kahi o 81/64, 27/16, 32/27 a me 128/81 ma P. s). ʻO ka hoʻomohala hou ʻana o ka polyphony, ka puka ʻana mai o nā pilina tonal hou, ʻoi aku ka paʻakikī, a me ka hoʻohana nui ʻana i nā leo like enharmonic i kaupalena ʻia ka waiwai o ka phonatory s; ua ikeia o P. s. - he ʻōnaehana hāmama, ʻo ia hoʻi, ʻaʻole kūlike ka 12 o ka ʻelima i ke kiʻekiʻe me ke kani kumu (no ka laʻana, ʻoi aku ka kiʻekiʻe o kona kiʻekiʻe ma mua o ka c kumu ma kahi manawa i kapa ʻia ʻo Pythagorean comma a like me ka 1/9. o kahi leo holoʻokoʻa); nolaila, ua manao o P. s. ʻAʻole hiki ke hoʻohana ʻia no ka enharmonics. modulations. ʻO kēia kūlana i alakaʻi i ke ʻano o kahi ʻōnaehana ʻano like ʻole. I ka manawa like, e like me ka mea i hōʻike ʻia e ka noiʻi acoustic, i ka wā e hoʻokani ana i nā mea kani me kahi leo paʻa ʻole o nā leo (e like me ka violin) otd. ka leo P. s. e ʻimi i ka noi i loko o ke kahua o ka ʻōnaehana zone. ʻokoʻa. cosmological, geometric nā manaʻo i ala mai i ke kaʻina hana P. s ua nalowale loa ko lākou manaʻo.
E hoʻomaopopo ': Garbuzov NA, Zonal ano o ka lohe pitch, M.-L., 1948; Musical Acoustics, ed. Hoʻoponopono ʻia e NA Garbuzova. Moscow, 1954. Nā mea hoʻokani mele kahiko. Intro. ʻatikala a me ka hōʻiliʻili o nā kikokikona e AF Losev, Moscow, 1961; Barbour JM, ʻO ka hoʻomau ʻana o ka ʻōnaehana hoʻokani Pythagorean, "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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