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I understand the concept of harmonic series and what not but I just wanted to clear a few things up before I move onto the next topic. On pg 72 in the passage it says that a given note is the same set of harmonics for all instruments....ok i understand this as all instruments playing the same note will have the same frequency, wavelength, and period. Is this correct??? because then in question 714 it states that a longer rope with the same tension would result in:
a) longer harmonics and lower resonance frequencies
I just want to make sure that i have the right definition of harmonics:
because if so I understand that the wavelength would be longer in accordance with L = (n x Wavelength)/4 and that the fundamental frequency would be F=v/4L but I just thought this wording was horrible because if my definition is correct then the frequency doesnt get "longer" it gets smaller and I just thought that it should of ahve longer wavelength and lower resonance frequency.
a) longer harmonics and lower resonance frequencies
I just want to make sure that i have the right definition of harmonics:
"Harmonics = frequency, wavelength and period"
because if so I understand that the wavelength would be longer in accordance with L = (n x Wavelength)/4 and that the fundamental frequency would be F=v/4L but I just thought this wording was horrible because if my definition is correct then the frequency doesnt get "longer" it gets smaller and I just thought that it should of ahve longer wavelength and lower resonance frequency.
