Digiri na dangantaka tsakanin tonalities: a cikin kiɗa duk abin da yake kamar a lissafi!

Batun jituwa na gargajiya yana buƙatar yin la'akari mai zurfi game da alaƙar da ke tsakanin tonalities daban-daban. Wannan dangantaka, da farko, ana aiwatar da ita ta kamanni da yawa na tonalities tare da sautuna na gama gari (ciki har da alamomin maɓalli) kuma ana kiranta alaƙar tonalities.

Da farko, yana da kyau a fahimci cewa, bisa ka'ida, babu wani tsarin duniya wanda ke kayyade ma'aunin alakar da ke tsakanin tonalities, tun da kowane mawaki ya gane kuma ya aiwatar da wannan dangantakar ta hanyarsa. Duk da haka, duk da haka, a cikin ka'idar kiɗa da aiki, akwai wasu tsarin kuma an kafa su da tabbaci, alal misali, na Rimsky-Korsakov, Sposobin, Hindemith da wasu 'yan wasu mawaƙa.

Matsayin dangantakar da ke tsakanin tonalities yana ƙayyade ta kusancin waɗannan tonality ga juna. Ma'auni na kusanci shine kasancewar sautuka na gama gari da baƙaƙe (yafi triads). Yana da sauki! Yawancin abubuwan gama gari, mafi kusancin haɗin gwiwa!

Bayani! Kamar dai, littafin Dubovsky (wato, littafin Brigade akan jituwa) ya ba da matsayi mai kyau game da dangi. Musamman ma, an yi la’akari da cewa manyan alamomin ba su ne babban alamar dangi ba, haka kuma, suna ne kawai, na waje. Amma abin da yake da mahimmanci shine triads akan matakan!

Digiri na dangantaka tsakanin tonalities bisa ga Rimsky-Korsakov

Mafi na kowa (cikin sharuddan adadin masu bin) tsarin haɗin kai tsakanin tonalities shine tsarin Rimsky-Korsakov. Yana bambanta digiri uku ko matakan dangi.

Alakar matakin farko

Wannan ya hada Maballin 6, wanda galibi ya bambanta da maɓalli ɗaya. Waɗannan su ne ma'aunin tonal waɗanda triads tonic aka gina su akan ma'aunin ma'auni na ainihin tonality. Wannan:

• daidaitattun tonality (duk sauti iri ɗaya ne);
• Maɓallai 2 - rinjaye kuma suna daidai da shi (bambancin sauti ɗaya ne);
• 2 ƙarin maɓallai - mai mulki da kuma daidai da shi (kuma bambancin alamar maɓalli ɗaya);
• kuma na ƙarshe, na shida, tonality - a nan akwai lokuta masu ban sha'awa waɗanda ke buƙatar tunawa (a cikin babba shi ne tonality na subdominant, amma an ɗauka a cikin ƙaramin juzu'i, kuma a cikin ƙananan shine tonality na rinjaye, kuma an ɗauka. a cikin la'akari da canjin mataki na VII a cikin ƙananan ƙarami, sabili da haka babba).

Alakar digiri na biyu

A cikin wannan group Maballin 12 (wanda 8 daga cikinsu suna da sha'awar modal iri ɗaya tare da maɓallin asali, kuma 4 suna da akasin haka). Daga ina adadin waɗannan tonality suka fito? Duk abin da ke nan yana kama da tallace-tallace na cibiyar sadarwa: ban da abubuwan da aka riga aka samo na matakin farko na dangantaka, ana neman abokan tarayya - tsarin nasu na tonalities ... na digiri na farko! Wato mai alaƙa da alaƙa!

Wallahi komai kamar lissafi yake – akwai shida, kowannensu akwai shida, kuma 6×6 36 ne kawai – wani irin matsananci ne! A takaice, daga dukkan maɓallan da aka samo, sababbi 12 ne kawai aka zaɓa (sun bayyana a karon farko). Sannan za su kafa da'irar dangi na digiri na biyu.

Matsayi na uku na dangantaka

Kamar yadda wataƙila kuka riga kuka zaci, tonalities na digiri na 3 na kusanci shine tonalities na digiri na farko na kusanci zuwa tonalities na digiri na 2 na kusanci. Mai alaƙa da alaƙa. Kamar haka! Haɓakawa a cikin matakin dangantaka yana faruwa bisa ga algorithm iri ɗaya.

Wannan shine mafi raunin matakin haɗin kai tsakanin tonalities - suna da nisa sosai da juna. Wannan ya hada da makullai biyar, wanda, idan aka kwatanta da na asali, ba ya bayyana guda uku na gama-gari.

Tsarin ma'auni huɗu na dangantaka tsakanin tonalities

Littafin karatun brigade (makarantar Moscow - gadon hadisai na Tchaikovsky) ya ba da shawarar ba uku ba, amma nau'i hudu na dangantaka tsakanin tonalities. Babu bambance-bambance masu mahimmanci tsakanin tsarin Moscow da St. Petersburg. Ya ƙunshi kawai a cikin yanayin tsarin tsarin digiri huɗu, tonalities na digiri na biyu sun kasu kashi biyu.

A ƙarshe… Me yasa kuke ma buƙatar fahimtar waɗannan digiri? Kuma rayuwa tana da kyau ba tare da su ba! Matsakaicin dangantaka tsakanin tonalities, ko kuma iliminsu, zai zama da amfani yayin kunna abubuwan haɓakawa. Misali, karanta game da yadda ake kunna modulations zuwa matakin farko daga manyan nan.

PS Ku huta! Kada ku gundura! Kalli bidiyon da muka shirya muku. A'a, wannan ba shine zane mai ban dariya game da Masyanya ba, wannan shine ragtime na Joplin: