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Art ma melodic line (in unison). In this period, the Catholic Church was the political and spiritual music was studied as a mathematical expression and spiritual in monasteries and sung as a form of communication with God. You can hear the Gregorian chant Masses in traditional, historical films or on CD, as the Benedictine monks of the Monastery of the Resurrection, in the city of Ponta Grossa. From the ninth century, and especially in the twelfth and thirteenth centuries, the music began to undergo transformations. Influenced by the constitution of the nascent bourgeoisie, characterized by collective work and enterprise of burgos (small towns around the castles), this urban music starts with organum , which adds another voice to the melody sung by starting rudimentary polyphony (music several voices). At the same time, the chant of a single melody is also added another voice, more acute ( pre-teenagers- you, but never a woman), singing an octave or a fifth. Thus, the Catholic Church will gradually and with strong resistance by incorporating these innovations in his music of the bourgeoisie. Tempered chromatic scale or - until the sixteenth century the musical scale was divided using the arithmetic progression rightly unit, as we have seen 1 - 2 - 3 - 4 - 5 - 6 ... but in 1614 the banker and mathematician John Napier, Baron of Merchinston, proposed a new way of telling. This new operation - logarithm - immediately reduced complicated bills that arrived to take years. You certainly know a mathematical operation called potentiation. For example, 2 ³ = 2.2.2, which is equal to 8, that is, the base 2 raised to the power three power results in 8. Potentiation is nothing but multiply a number (called the base) as many times as the exponent. In potentiation know the base (2 in this case) and power (8), the operation that allows you to find the exponent that we must attach the base to obtain power is what we call log. See the example below: In the late seventeenth and early eighteenth century, the musician Johann Sebastian Bach composed a series of songs called The Well-Tempered Clavier , using the scale interval in logarithms and jeanphilippe Rameau wrote the study Treaty of Harmony , which consolidates this new form of compose music. How to make the snake go?
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Umjetnost ma melodijska linija (unisono). U tom razdoblju, Katolička crkva je bila politička i duhovna glazba je studirao kao matematički izraz i duhovno u samostanima i pjeva kao oblik komunikacije s Bogom. Možete čuti gregorijanski koral Mise u tradicionalnim, povijesnim filmovima ili na CD-u, kao i benediktinci iz samostana uskrsnuća, u gradu Ponta Grossa. Od devetog stoljeća, a posebno u dvanaestom i trinaestom stoljeću, glazba počela proći transformacije. Pod utjecajem konstituiranja usponu buržoazije, koja je obilježena zajedničkog rada i poduzetništva od Burgos (mali gradovi oko dvorca), to urbana glazba počinje s Organum , koji dodaje još jedan glas na melodiju koju pjeva s početkom rudimentarni polifoniju (glazba nekoliko glasova). U isto vrijeme, pjevati o jednoj melodija je također dodao još jedan glas, oštriji ( pre-tinejdžera- ti, ali nikada nije žena), pjeva za oktavu ili petina. Dakle, Katolička crkva će se postupno, a zbog velikog otpora ugrađujući ove inovacije u svojoj glazbi buržoazije. Kaljeno kromatsku ljestvicu ili - sve do šesnaestog stoljeća glazbena ljestvica bila podijeljena pomoću aritmetičke progresije pravom jedinica, kao što smo vidjeli 1 - 2 - 3 - 4 - 5 - 6 ... ali u 1614 bankar i matematičar John Napier, barun od Merchinston, predložio novi način govori. Ova nova operacija - logaritam - odmah smanjiti komplicirane račune koji su stigli do potrajati godinama. Vi sigurno znate matematičke operacije nazvane potenciranje. Na primjer, 2 ³ = 2.2.2, koji je jednak 8, koji je, baza 2 popeo do tri snage power rezultatima u osam. Potenciranje ništa, ali pomnožite broj (tzv. baza) onoliko puta koliko je eksponenta. U potenciranje znate bazu (2 u ovom slučaju) i snaga (8), postupak koji vam omogućuje da pronađete eksponent da moramo pridaju osnovicu za dobivanje snage je ono što mi zovemo dnevnik. Pogledajte primjer u nastavku: Krajem sedamnaestog i početkom osamnaestog stoljeća, glazbenik je Johann Sebastian Bach skladao je niz pjesama pod nazivom Dobro uštimani Clavier , pomoću ljestvice u logaritmima i jeanphilippe Rameau napisao studija Ugovor o Harmony , koji objedinjuje ovaj novi oblik skladati glazbu.