E pili ana i nā microchromatics harmonic

ʻEhia kala i loko o ke ānuenue?

ʻEhiku - e pane wiwo ʻole ko mākou mau hoa.

Akā hiki i ka pale kamepiula ke hana hou i nā kala 3 wale nō, ʻike ʻia e nā mea āpau - RGB, ʻo ia hoʻi, ʻulaʻula, ʻōmaʻomaʻo a me ka uliuli. ʻAʻole kēia e pale iā mākou mai ka ʻike ʻana i ke ānuenue holoʻokoʻa ma ke kiʻi aʻe (Fig. 1).

Ma ka ʻōlelo Pelekania, no ka laʻana, no ʻelua kala - ʻulaʻula a me ka cyan - hoʻokahi wale nō huaʻōlelo uliuli. A ʻaʻohe huaʻōlelo o ka poʻe Helene kahiko no ka uliuli. ʻAʻohe inoa o nā Kepanī no ka ʻōmaʻomaʻo. "ʻIke" nā kānaka he ʻekolu wale nō kala i ke ānuenue, a ʻelua paha.

He aha ka pane pololei i kēia nīnau?

Ina kakou e nana i ke kii 1, e ike kakou i ke komo malie ana o na waihooluu i kekahi i kekahi, a o na palena mawaena o lakou, he kuikahi wale no. Aia ka helu palena ʻole o nā kala i ke ānuenue, kahi i hoʻokaʻawale ʻia e ka poʻe o nā moʻomeheu like ʻole e nā palena kūlana i loko o nā mea "ʻae ʻia".

Ehia mau memo o ka octave?

E pane mai ke kanaka i kamaʻāina i ke mele - ʻehiku. ʻO ka poʻe me ka hoʻonaʻauao mele, ʻoiaʻiʻo, e ʻōlelo - ʻumikūmālua.

Akā ʻo ka ʻoiaʻiʻo, ʻo ka helu o nā memo he mea ʻōlelo wale nō. No nā poʻe nona ka moʻomeheu mele i kaupalena ʻia i ka pae pentatonic, ʻelima ka helu o nā memo, ma ka moʻomeheu ʻEulopa maʻamau he ʻumikūmālua, a, no ka laʻana, ma nā mele India iwakāluakūmālua (ma nā kula like ʻole ma nā ʻano like ʻole).

ʻO ke kani o ke kani a i ʻole ka ʻōlelo ʻepekema, ʻo ke alapine o nā haʻalulu he nui e loli mau ana. Ma waena memo A, e kani ana ma ke alapine o 440 Hz, a me kahi memo si-palapala ma ke alapine o 466 Hz aia kahi helu pau ʻole o nā leo, kēlā me kēia mea hiki iā mākou ke hoʻohana i ka hana mele.

E like me ka mea pena kiʻi maikaʻi ʻaʻole 7 mau kala paʻa i kāna kiʻi, akā he ʻano nui o nā aka, no laila hiki i ka mea haku mele ke hana palekana ʻaʻole wale me nā leo mai ka 12-note equal temperament scale (RTS-12), akā me nā mea ʻē aʻe. nā leo o kāna koho.

ka uku

He aha ka mea e ho'ōki ai i ka hapa nui o nā haku mele?

ʻO ka mea mua, ʻoiaʻiʻo, ka maʻalahi o ka hoʻokō a me ka notation. ʻaneʻane hoʻokani ʻia nā mea kani a pau i ka RTS-12, kokoke i nā mea mele a pau e aʻo i ka heluhelu ʻana i ka notation kahiko, a ʻo ka hapa nui o ka poʻe hoʻolohe i hoʻohana i nā mele me nā memo "maʻamau".

Hiki ke kūʻē ʻia kēia mau mea: ma kekahi ʻaoʻao, ʻo ka hoʻomohala ʻana i ka ʻenehana kamepiula e hiki ai ke hana me nā leo o kahi kiʻekiʻe a me kekahi ʻano. Ma kekahi ʻaoʻao, e like me kā mākou i ʻike ai ma ka ʻatikala ma dissonances, i ka wā lōʻihi, lilo ka poʻe hoʻolohe i ke kūpaʻa i nā mea maʻamau, ʻoi aku ka paʻakikī o nā harmonies e komo i ka mele, i hoʻomaopopo a ʻae ka lehulehu.

Akā aia ka lua o ka paʻakikī ma kēia ala, ʻoi aku paha ka mea nui.

ʻO ka ʻoiaʻiʻo, ke hele mākou ma mua o nā memo 12, nalowale mākou i nā helu kuhikuhi āpau.

He aha nā consonance i consonant a ʻaʻole?

E ola ana ka gravity?

Ma luna o ke aha e kūkulu ʻia ai ka lokahi?

Aia kekahi mea e like me nā kī a i ʻole nā ​​ʻano?

Microchromatic

ʻOiaʻiʻo, ʻo ka hana mele wale nō e hāʻawi i nā pane piha i nā nīnau i kau ʻia. Akā ua loaʻa iā mākou kekahi mau mea hana no ka orienteering ma ka honua.

ʻO ka mea mua, pono e hoʻopaʻa inoa i ka wahi a mākou e hele ai. ʻO ka maʻamau, ʻo nā ʻōnaehana mele a pau e hoʻohana ana ma mua o 12 mau memo no kēlā me kēia octave e helu ʻia ʻo ia microchromatic. I kekahi manawa ua hoʻokomo pū ʻia nā ʻōnaehana i ka helu o nā memo (a i ʻole ka liʻiliʻi ma mua o) 12 ma kahi like, akā ʻokoʻa kēia mau memo mai ka RTS-12 maʻamau. No ka laʻana, i ka hoʻohana ʻana i ka Pythagorean a i ʻole ka unahi kūlohelohe, hiki i kekahi ke ʻōlelo ua hana ʻia nā hoʻololi microchromatic i nā memo, e hōʻike ana he mau memo kēia i aneane like me ka RTS-12, akā ma kahi mamao loa mai lākou (Fig. 2).

Ma ka Fig. 2, ʻike mākou i kēia mau hoʻololi liʻiliʻi, no ka laʻana, ka memo h Pythagorean scale ma luna pono o ka memo h mai RTS-12, a kūlohelohe h, aka, ua emi iki.

Akā, ʻo ka Pythagorean a me ke kani kūlohelohe ma mua o ke ʻano o ka RTS-12. No lākou, ua haku ʻia kā lākou mau hana ponoʻī, ua hoʻomohala ʻia kahi kumumanaʻo, a ma nā moʻolelo ma mua ua hoʻopā mākou i kā lākou hoʻolālā i ka hele ʻana.

Makemake mākou e hele i mua.

Aia kekahi mau kumu e koi ai iā mākou e neʻe aku mai ka RTS-12 maʻamau, kūpono, kūpono i ka ʻike ʻole a ʻano ʻē?

ʻAʻole mākou e noʻonoʻo i nā kumu maʻamau e like me ka kamaʻāina o nā alanui a me nā ala āpau i kā mākou ʻōnaehana maʻamau. E ʻae kākou i ka ʻoiaʻiʻo i loko o kekahi ʻano hoʻomohala pono e loaʻa kahi ʻāpana o ka adventurism, a e pā mākou i ke ala.

Kapepili

ʻO kahi ʻāpana koʻikoʻi o ke keaka mele, ʻo ia ka consonance. ʻO ka hoʻololi ʻana o nā consonances a me nā dissonances e hoʻāla ai i ka gravity i ke mele, ke ʻano o ka neʻe ʻana, ka ulu ʻana.

Hiki iā mākou ke wehewehe i ka consonance no nā microchromatic harmonies?

E hoʻomanaʻo i ka ʻatikala mai ka ʻatikala e pili ana i ka consonance:

Hiki i kēia ʻano hoʻohālikelike iā ʻoe ke helu i ka consonance o kēlā me kēia manawa, ʻaʻole pono ka mea maʻamau.

Inā mākou e helu i ka consonance o ka manawa mai i i nā kani a pau i loko o hoʻokahi octave, loaʻa iā mākou ke kiʻi aʻe (Fig. 3).

Hoʻolālā ʻia ka laulā o ka wā ākea ma ʻaneʻi i nā keneta (inā he mau keneta he 100, e komo mākou i kahi leka maʻamau mai ka RTS-12), ma ke kū pololei - ke ana o ka consonance: ʻo ke kiʻekiʻe o ke kiko, ʻoi aku ka nui o ka consonant. kani waena.

E kōkua ia kiʻi iā mākou e hoʻokele i nā wā microchromatic.

Inā pono, hiki iā ʻoe ke kiʻi i kahi kumu no ka consonance o nā chords, akā ʻoi aku ka paʻakikī. I mea e maʻalahi ai, hiki iā mākou ke hoʻomanaʻo he mau kikowaena kekahi, a hiki ke koho pololei ʻia ka consonance o kahi chord ma ka ʻike ʻana i ka consonance o nā wā āpau e hana ai.

Palapala ʻāina kūloko

ʻAʻole i kaupalena ʻia ka lokahi mele i ka hoʻomaopopo ʻana i ka consonance.

No ka laʻana, hiki iā ʻoe ke ʻike i kahi consonant ʻoi aku ka consonant ma mua o kahi triad liʻiliʻi, akā naʻe, paʻa ia i kahi kuleana kūikawā ma muli o kona ʻano. Ua aʻo mākou i kēia ʻano ma kekahi o nā memo mua.

He mea maʻalahi ke noʻonoʻo i nā hiʻohiʻona harmonic o ke mele ma wahi o ka lehulehu, a i ʻole PC no ka pōkole.

E hoʻomanaʻo pōkole i ke ʻano o ke kūkulu ʻia ʻana o ia mea ma ka hihia maʻamau.

Loaʻa iā mākou ʻekolu ala maʻalahi e hoʻohui i ʻelua mau kani: hoʻonui i ka 2, hoʻonui i ka 3 a me ka hoʻonui ʻana i ka 5. ʻO kēia mau ʻano hana e hoʻohua ai i ʻekolu koʻi ma ke ākea o ka hoʻonui (PC). ʻO kēlā me kēia ʻanuʻu ma kekahi axis he hoʻonui ʻia e ka multiplicity pili (Fig. 4).

Ma kēia wahi, ʻoi aku ka pili o nā memo i kekahi i kekahi, ʻoi aku ka nui o ka consonant.

Loaʻa nā hana harmonic āpau: frets, kī, chord, hana i kahi hiʻohiʻona geometric ʻike ma ka PC.

Hiki iā ʻoe ke ʻike i ka lawe ʻana i nā helu prima ma ke ʻano he mau mea hoʻonui: 2, 3, 5. ʻO ka helu prime he huaʻōlelo makemakika ʻo ia hoʻi, hiki ke puunaue wale ʻia kahi helu e 1 a iā ia iho.

ʻO kēia koho o nā mea he nui i kūpono. Inā mākou e hoʻohui i kahi axis me kahi "non-simple" multiplicity i ka PC, a laila ʻaʻole mākou e loaʻa i nā memo hou. No ka laʻana, ʻo kēlā me kēia ʻanuʻu ma ke koʻi o ka hoʻonui 6, ma ka wehewehe ʻana, he hoʻonui i ka 6, akā 6=2*3, no laila, hiki iā mākou ke loaʻa kēia mau memo a pau ma ka hoʻonui ʻana i ka 2 a me 3, ʻo ia hoʻi, ua loaʻa iā mākou nā mea a pau. ia lakou me keia koi ole. Akā, no ka laʻana, ʻaʻole pono ka loaʻa ʻana o ka 5 ma ka hoʻonui ʻana i ka 2 a me ka 3, no laila, he mea hou nā memo ma ke axis o ka multiplicity 5.

No laila, ma kahi PC he mea kūpono ke hoʻohui i nā koʻi o nā multiplicity maʻalahi.

ʻO ka helu mua aʻe ma hope o ka 2, 3 a me 5, ʻo ia ka 7. ʻO ia ka mea e hoʻohana ʻia no nā kūkulu harmonic hou.

Inā ka pinepine memo i hoʻonui mākou i ka 7 (lawe mākou i ka ʻanuʻu 1 ma ke koʻi hou), a laila octave (puʻunaue me 2) e hoʻololi i ke kani i loaʻa i ka octave kumu, loaʻa iā mākou kahi kani hou loa ʻaʻole i hoʻohana ʻia i nā ʻōnaehana mele kahiko.

ʻO kahi waena i loaʻa i a penei ke kani ʻana o kēia memo:

ʻO ka nui o kēia wā he 969 keneta (he keneta he 1/100 o kahi semitone). Ua ʻoi aku ka liʻiliʻi o kēia wā ma mua o kahi liʻiliʻi ʻehiku (1000 keneta).

Ma ka Fig. 3 hiki iā ʻoe ke ʻike i ke kiko e pili ana i kēia wā (ma lalo ka mea i hōʻike ʻia i ka ʻulaʻula).

ʻO ke ana o ka consonance o kēia wā he 10%. No ka hoʻohālikelike ʻana, ua like ka consonance o ka hapakolu liʻiliʻi, a ʻo ka ʻehiku liʻiliʻi (ma ke ʻano maoli a me ka Pythagorean) he manawa liʻiliʻi ka consonant ma mua o kēia. Pono e ʻōlelo ʻia ʻo ka consonance helu ʻia mākou. ʻOkoʻa paha ka consonance i ʻike ʻia, ma ke ʻano he liʻiliʻi liʻiliʻi no ko mākou lohe ʻana, ʻoi aku ka maʻamau o ka wā.

Ma hea e loaʻa ai kēia memo hou ma ka PC? He aha ka lokahi e hiki ai iā mākou ke kūkulu me ia?

Inā lawe mākou i ka axis octave (ke axis of multiplicity 2), a laila e lilo ka PC maʻamau i palahalaha (Fig. 5).

ʻO nā memo āpau i loaʻa i kahi octave i kekahi i kekahi, ua kapa ʻia ʻo ia hoʻokahi, no laila, ʻo ka hoʻemi ʻana i kekahi ʻano kūpono.

He aha ka hopena ke hoʻohui ʻoe i ka nui o 7?

E like me kā mākou i ʻike ai ma luna nei, hāʻawi ka multiplicity hou i kahi axis hou i ka PC (Fig. 6).

Lilo ka lewa i ʻekolu ʻāpana.

Hāʻawi kēia i kahi helu nui o nā mea hiki.

No ka laʻana, hiki iā ʻoe ke kūkulu i nā chords ma nā mokulele like ʻole (Fig. 7).

Ma kahi ʻāpana mele, hiki iā ʻoe ke neʻe mai kahi mokulele i kekahi, kūkulu i nā pilina i manaʻo ʻole ʻia a me nā counterpoints.

Eia naʻe, hiki ke hele ma mua o nā kiʻi pālahalaha a kūkulu i nā mea ʻekolu-dimensional: me ke kōkua o nā chords a i ʻole ke kōkua o ka neʻe ʻana i nā ʻaoʻao like ʻole.

ʻO ka pāʻani ʻana me nā kiʻi 3D, ʻo ia ke kumu no ka microchromatics harmonic.

Eia kekahi hoohalike ma keia pili.

I kēlā manawa, i ka neʻe ʻana o ke mele mai ka ʻōnaehana "linear" Pythagorean i ka "flat" kūlohelohe, ʻo ia hoʻi, ua hoʻololi ʻo ia i ke ana mai ka 1 a hiki i ka 2, ua loaʻa nā mele i kekahi o nā kipi nui loa. Ua ʻike ʻia nā tonalita, polyphony piha, ka hana o nā chord a me nā helu ʻē aʻe o nā ʻano hōʻike ʻē aʻe. Ua hānau hou ʻia ke mele.

I kēia manawa ke alo nei mākou i ka lua o ka hoʻololi - microchromatic - ke hoʻololi ke ana mai 2 a 3.

E like me ka hiki ʻole i ka poʻe o ka Middle Ages ke wānana i ke ʻano o ka "mele paʻa", no laila paʻakikī iā mākou i kēia manawa ke noʻonoʻo i ke ʻano o nā mele ʻekolu.

E ola kākou a lohe.

Mea kākau — Roman Oleinikov