If you double you get an octave. Messages 12, Thanks for the info I'm studying for the architectural registration exam and there's a few chapters on sound transmission, absorption and reverberation that get into hertz. Relating it to music will help me wrap my brain around it much easier. All the octaves would be powers of 2, up or down, double the frequency up an octave, cut it in half, down an octave.
I'm not sure why you're asking the question, but if you've got some musical application in mind, it's easier to use Cents than Hertz to measure the interval sizes. You're only ever going to have cents to the half step, so cents to the octave. With Hz. So from to is the doubling that takes you to the next octave, but now there's twice as many Hz in that octave but still only 12 notes.
There's only ever going to be cents to any ET half step in any octave, but the number of Hz in that half step is going to depend on which octave you're in. So if you want to measure musical intervals, cents is easy. If you have some other application Hz is probably the right tool for the job.
Or look up Cents to Hertz conversion, that'll do the job for you! The Captain Senior Member. First aharmonic at the 12th fret sounds the same as the 12 fret fretted, so yes, It's an octave, provided the string is intonated correctly. There was a good article on this stuff written by Richard Lloyd, published in onbe of teh guitar mags, under the title "The Alchemical Guitarist", in 2 parts.
The first part covered what you want very well. I'm sure you can google it. Messages For an octave series, the difference between consecutive frequencies is perceived as "the same" in the sense of musical interval.
Consequently, in terms of what we hear, each octave in the harmonic series is divided into increasingly "smaller" and more numerous intervals. The pitch depends on the main frequency of the sound; the higher the frequency, and shorter the wavelength , of the sound waves, the higher the pitch is.
But musical sounds don't have just one frequency. Sounds that have only one frequency are not very interesting or pretty. They have no more musical color than the beeping of a watch alarm. On the other hand, sounds that have too many frequencies, like the sound of glass breaking or of ocean waves crashing on a beach, may be interesting and even pleasant.
But they don't have a particular pitch, so they usually aren't considered musical notes. When someone plays or sings a musical tone , only a very particular set of frequencies is heard. Each note that comes out of the instrument is actually a smooth mixture of many different pitches. These different pitches are called harmonics , and they are blended together so well that you do not hear them as separate notes at all.
Instead, the harmonics give the note its color. What is the color of a sound? Say an oboe plays a middle C. Then a flute plays the same note at the same dynamic level as the oboe. It is still easy to tell the two notes apart, because an oboe sounds different from a flute. This difference in the sounds is the color , or timbre pronounced "TAM-ber" of the notes. Like a color you see, the color of a sound can be bright and bold or deep and rich.
It can be heavy, light, dark, thin, smooth, murky, or clear. Some other words that musicians use to describe the timbre of a sound are: reedy, brassy, piercing, mellow, hollow, focussed, transparent, breathy pronounced BRETH-ee or full. Listen to recordings of a violin and a viola. Although these instruments are quite similar, the viola has a noticeably "deeper" and the violin a noticeably "brighter" sound that is not simply a matter of the violin playing higher notes.
Now listen to the same phrase played by an electric guitar , an acoustic guitar with twelve steel strings and an acoustic guitar with six nylon strings. The words musicians use to describe timbre are somewhat subjective, but most musicians would agree with the statement that, compared with each other, the first sound is mellow, the second bright, and the third rich.
Exercise 3. Go to Solution. Listen to recordings of different instruments playing alone or playing very prominently above a group. Some suggestions: an unaccompanied violin or cello sonata, a flute, oboe, trumpet, or horn concerto, Asaian or native American flute music, classical guitar, bagpipes, steel pan drums, panpipes, or organ. For each instrument, what "color" words would you use to describe the timbre of each instrument?
Use as many words as you can that seem appropriate, and try to think of some that aren't listed above. Do any of the instruments actually make you think of specific shades of color, like fire-engine red or sky blue?
Where do the harmonics, and the timbre, come from? When a string vibrates, the main pitch you hear is from the vibration of the whole string back and forth. When the beat frequency is lower than the lower limit of human hearing, it sounds like a modulation in loudness of an audible tone, as in that demo. When it is within the realm of human hearing, the beat frequency will sound like a tone. If you use an audio program, like Audacity , to generate a Hz tone and a Hz one, and play them simultaneously, you'll hear pitch power than either, concentrated at about Hz the beat frequency.
It won't sound like a pure tone, though, it'll have a rougher feel to it. That's not accidental. Human screams and other animal alarm calls are known to oscillate rapidly in loudness , so hearing a moderately high beat frequency triggers unpleasant feelings in us.
Why bring up beat frequencies at all? Well, frequencies that are an octave apart produce a beat frequency at the frequency of the lower frequency tone, making a waveform that doesn't have so much of the rapid volume oscillations.
Since such small integer harmonics or near so are an unavoidable part of generating any sound, they don't raise alarm bells in our psyche. Now, what I've said here should not be generalized too much, since we obviously enjoy hearing chords played during a musical performances that should, in this naive picture, produce dissonant beat frequencies.
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