He mea liʻiliʻi e pili ana i nā pilina ma waena o Pythagoras a me nā mele.

Ua lohe ka poʻe a pau e pili ana iā Pythagoras a me kāna theorem, akā ʻaʻole ʻike ka poʻe āpau he sage nui ʻo ia i hoʻoikaika i ka moʻomeheu Helene a me Roma kahiko, e waiho ana i kahi hōʻailona hiki ʻole i ka mōʻaukala honua. Ua manaʻo ʻia ʻo Pythagoras ʻo ia ka mea akeakamai mua, ua ʻike pū ʻo ia i nā mea he nui i ke mele, geometry a me ka astronomy; ʻo ia hoʻi, ʻaʻole hiki ke lanakila ʻo ia i nā hakakā lima.

Ua aʻo mua ka mea akeakamai me kona mau hoa aloha a ua hoʻomaka ʻia i loko o ka Eleusian Mysteries. A laila hele nui ʻo ia a hōʻiliʻili i nā ʻāpana o ka ʻoiaʻiʻo mai nā kumu like ʻole, no ka laʻana, ua kipa ʻo ia i ʻAigupita, Suria, Phenicia, aʻo pū me nā Kaledea, hele i loko o nā mea pohihihi o Babulona, ​​a aia kekahi mau hōʻike i loaʻa iā Pythagoras ka ʻike mai nā Brahmins ma India. .

Ma hope o ka hōʻiliʻili ʻana i nā puʻupuʻu o nā aʻo like ʻole, ua hoʻokaʻawale ke akeakamai i ke aʻo ʻana o Harmony, kahi i hoʻopili ʻia ai nā mea āpau. A laila, hoʻokumuʻo Pythagoras i kāna hui, kahiʻano aristocracy o kaʻuhane, kahi i aʻo ai nā kānaka i nāʻoihana a me nāʻikeʻepekema, aʻo i ko lākou kino me nā hana likeʻole a hoʻonaʻauao i ko lākou mauʻuhane ma o nā hana a me nā hoʻoponopono.

Ua hōʻike nā aʻo a Pythagoras i ka lōkahi o nā mea a pau i ke ʻano like ʻole, a ua hōʻike ʻia ka pahuhopu nui o ke kanaka ma o ka hoʻomohala ʻana iā ia iho, ua hoʻokō ke kanaka i ka hui me ka Cosmos, e pale aku i ka hānau hou ʻana.

Nā moʻolelo i pili pū me Pythagoras a me Music

ʻO ka lokahi mele i nā aʻo ʻana o Pythagoras he kumu hoʻohālike o ka lokahi honua, aia nā memo - nā ʻano like ʻole o ka Universe. Ua manaʻo ʻia ua lohe ʻo Pythagoras i ke mele o nā pōʻai, ʻo ia kekahi mau haʻalulu kani e puka mai ana mai nā hōkū a me nā hōkū a i ulana pū ʻia i loko o ka lokahi akua - Mnemosyne. Ua hoʻohana ʻo Pythagoras a me kāna mau haumāna i kekahi mau mele a me nā leo o ka lira e hoʻomaha ai i ko lākou mau naʻau a hoʻōla i kekahi mau maʻi.

Wahi a ka moʻolelo, ʻo Pythagoras ka mea i ʻike i nā kānāwai o ka lokahi mele a me nā waiwai o ka pilina harmonic ma waena o nā kani. Wahi a ka moʻolelo, e hele ana kekahi kumu i kekahi lā a lohe ʻo ia i ke kani ʻana o nā hāmare mai ka paʻi hao; Ma hope o ka hoʻolohe ʻana iā lākou, ua ʻike ʻo ia i ko lākou kikeke ʻana i hana i ka lokahi.

Ma hope mai, ua hoʻāʻo ʻo Pythagoras e pili ana ka ʻokoʻa o nā leo i ka nui o ka hāmare, ʻaʻole ma nā ʻano ʻē aʻe. A laila, hana ke akeakamai i kekahi mea mai nā kaula me nā helu like ʻole; ua hoʻopaʻa ʻia nā kaula i kahi kui i hoʻopaʻa ʻia ma ka paia o kona hale. Ma ke kuʻi ʻana i nā kaula, ua loaʻa iā ia ka manaʻo o ka octave, a ʻo ka ʻoiaʻiʻo ʻo kona ratio ʻo 2:1, ua ʻike ʻo ia i ka lima a me ka hā.

A laila, hana ʻo Pythagoras i mea hana me nā kaula like ʻole i hoʻopaʻa ʻia e nā mākia. Ma ka hoʻohana ʻana i kēia mea kani, ua hoʻokumu ʻo ia i kekahi mau consonances a me nā kānāwai i loko o nā mea kani he nui: nā ʻohe, nā kimebala, nā lira a me nā mea hana ʻē aʻe e hiki ai ke hoʻopuka i ke kani a me ke mele.

Aia kekahi moʻolelo e haʻi ana i kekahi lā i kona hele ʻana, ʻike akula ʻo Pythagoras i kahi lehulehu ʻona e hana pono ʻole ana, a e hele ana kekahi mea hoʻokani ohe i mua o ka lehulehu. Ua kauoha ke akeakamai i keia mea hookani pila, i hele pu me ka lehulehu, e hookani i ka manawa spondaic; ua hoʻomaka ʻo ia e pāʻani, a ʻo ka manawa koke nō, ʻoluʻolu nā mea a pau a hoʻomaha. ʻO kēia keʻano e hiki ai iāʻoe ke hoʻomalu i nā kānaka me ke kōkua o ke mele.

ʻO nā manaʻo ʻepekema hou a me ka hōʻoia kūpono o nā manaʻo Pythagorean ma ke mele

Hiki i nā kani ke ho'ōla a pepehi. Ua ʻike ʻia a ua aʻo ʻia nā lāʻau mele, e like me ka harp therapy ma kekahi mau ʻāina (no ka laʻana, ma ka British Institute, hoʻohana ʻia nā mele harp e hoʻomaʻamaʻa i ka chemotherapy). Ua hoʻokūpaʻa ʻia ke aʻo Pythagorean o ke mele o nā spheres e ka manaʻo hou o nā superstrings: nā haʻalulu e hoʻoheheʻe i nā wahi āpau.