HARMONIC ANALYSIS

Harmonic Analysis



Abstract

Our deep concerning topic in this assignment is “The Harmonic Analysis”. This team exercise is to plan, design and write a computer programme in VB The programme will analyse an audio signal to determine how the harmonic content varies with time. Whole document is revoling around the coding that we did on VB and explains each and every aspect of it. The screen shots of coding is at the end of the conclusion. Moreover, some of the important aspects of VB and its advantages are also involed in this assignment.



Contents

Abstract2

Introduction4

Discussion & Analyses5

Conclusion15

Exclusive Screenshots Of The Program Code16

References22

Harmonic Analysis

Introduction

In music, the harmonic analysis is a discipline of music theory, and part of the musical analysis. It aims to show the nature and function of agreements in the tonal harmony, and as an educational tool, to prepare them for a deeper understanding of partitions, and prepare for - or complement - the study of harmony and the practical harmony (Roberg & Popovic, 2011). Harmonic analysis is to show the nature, according to agreements with each other and classify notes foreign to the harmony. For this there are essentially two different methods:

theory degrees, general use in non-Germanic

the theory of functions, used especially in Germany, but of sufficient interest to be mentioned here.

A good approach to understanding the nature of harmonic analysis is the study of a sound wave. Imagine a simple sound emitted by some type of acoustic transmitter whose graph, in general, is represented by a sinusoidal function of the type y = A · sin (nx). A periodic curve of period 2p, which means that the wave repeats itself exactly every 2p seconds, during which time we see a peak in the peak and a valley at the lowest point. We hear the sound stronger or weaker depending on the intensity, which is reflected in the amplitude (A) of the wave (Yoon-Mi, Jong-Gun, Changyul, Hyun-Kyo & Young-Seek, 2010). For example, a sound with the same frequency as above but would double amplitude which is represented by the 2nd equation.

Another aspect that confirms the key of G minor is the use of F-sharp to form the dominant chord of the sun (penultimate line). Knowing the key, now we have to identify the degrees, chords, inversions and harmonic functions. It should be clear form the chords on each degree of tonality (in this case G minor). We have identified the grades on the minor chords are formed in lower case and the largest capitalized (Lamura, Aurino, Andreone & Villégier, 2009). 

Discussion & Analyses

Any periodic signal with period T can be represented by adding a specific set of harmonic vibrations with angular frequency, equal ?n = n?1 == 2pn / T, where n - number of harmonics (integer). At the same harmonic number n = 1 is called the fundamental harmonic and the harmonics with numbers n> 1 - the higher harmonics. In general, the number of harmonics can be infinite. Submission of a periodic signal in the form of a set of harmonic components is called the spectrum. Such an expansion of a periodic signal is also called the Fourier series (Wen, ...