That harmonies occur when two pitches vibrate at frequencies in small integer ratios (Music Math Harmony, n.). I came across how sine waves are used to represent soundwaves of different chords. Hence, I started searching about musical notes and chords and how they are presented mathematically. Have always been keen on learning how musical sounds are generated in the chords and in what form do they travel. Individual who enjoys listening to music, it made me curious to know how sounds travel and how this relates to math. I wanted to explore the fundamentals of how math and music come together to create beautiful sounds. The term “Musical Harmonies” was very intriguing to me when I first started researching how math and music tie I will also be looking at the beat and intervals and octave harmonics along with pitches and contrasting I willĭo this by studying a single string and seeing how changes to the string will affect the frequency and thus the sound the In this investigation, I will be focusing on why certain combinations of notes sound good together and others do not. Harmonics and sine waves as mathematical evidence? What makes certain combinations of musical notes sound harmonic and others not so much? How can we prove this using The programs I used to generate graphs are Excel and Desmos Graphing Calculator - A DEEP INVESTIGATION INTO THE FUNDAMENTALS OF MATHEMATICAL HARMONIES & SINE WAVES RESEARCH QUESTION I have acknowledged each use of the words or ideas of another person, whether written, oral or visual. MATHEMATICS: ANALYSIS & APPROACHES STANDARD LEVEL INTERNAL INVESTIGATION Candidate Number: hxw Subject: Mathematics Analysis & Approaches SL Date: February 17th, 2021 Due: February 19th, 2021 Candidate declaration: I confirm that this work is my own and is the final version.
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