Best Answer

If you are not interested in the process of 'tuning', go to the second paragraph. Fifths as tuned in equal temperament are tuned slightly "inside" of smoothe, so you would not find a pure fifth on a piano tuned in the standard fashion. You would construct a pure fifth by tuning all of the wavering out of the mutual harmonic of the tones, the same harmonic that is pulled "inside" to accommodate equal temperament. If the lower note is C, then the upper note of the fifth will be the first G above C. The harmonic to concentrate on will sound as one octave above the G. You should be able to hear the harmonic playing each note alone, and you must be able to hear the harmonic when playing the notes together. When all of the wavering is tuned out of this harmonic, you are left with a pure fifth. You can produce a pure fifth starting with a tone of any frequency, even one that is not a standard note. Your ability to hear the right harmonic is the only limiting factor.

It turns out that the mathematical relationship between the tones of a perfect fifth is a simple one, as is true for most of the basic intervals. The ratio is 3/2. The upper tone will have a frequency that is 3/2 times the lower frequency. Middle C has a frequency of 261.626 Hz, or cycles per second. The pure fifth above that is G, tuned at 392.438 Hz. You will see that this frequency is very slightly higher than the standard frequency of G in the system of equal temperament, which is 391.995 Hz. The difference is small, but when the notes are played together most humans can hear the slight wavering of the common overtone. All frequencies are rounded to 3 places.

Here's another way of understanding the 3/2 ratio. If you multiply the frequency of the lower note of the 5th by 3, and multiply the frequency of the of upper note by 2, the products will be equal if and only if the notes make a pure fifth. If the products are not equal, you will hear wavering that is directly related to the nonzero difference of the products.

Q: What is a pure fifth?

Write your answer...

Submit

Still have questions?

Continue Learning about TV & Celebs

a triad with no third. its just the perfect fifth.

In POA it states that in there fifth year they worked it out.

Pure Imagination was created in 1971.

As a brit, I took it that this refered to pleading the Fifth Amendment - ie. that they cannot be compelled to be a witness against themselves Pleading the Fifth means you refuse to testify under oath in a court of law because you feel your answers could be used against you.

And the Fifth Dimension got it from the soundtrack of the Broadway play "Hair." Fifth Dimension

Related questions

There is no fifth element. Yes there is. Its name is, Aether, the power underlying the other four elements, with no clear physical manifestation, just pure energy.

Excel math has all levels of math

A fifth of whiskey is one fifth of a gallon, or 25.6 oz. Since there are 25.6 oz in a fifth, and 1.5 oz in a shot, there are 17.0667 shots in a fifth. A typical beer contains around 5% alcohol (.05) and each beer is 12 oz. A shot is 1.5 oz at 40%, so 1.5(.40)=.6(amount of pure alcohol). A typical beer is 12 oz at 5%, so 12(.05)=.6(amount of pure alcohol). So, usually a shot is nearly equivalent to a beer. Knowing this, you could assume that 17.0667 beers would equal close to a fifth of whiskey.

In Athens in the fifth century, B.C., laws were determined by a vote among all male citizens. This was an example of pure democracy.

not too fast i think it would be just as easy to kill a 5th of pure grade #1 shine. no problem.

The fifth element is often considered to be either aether or quintessence. Aether is thought to be the material that fills the region of the universe above the terrestrial sphere, while quintessence is believed to be a pure and rarefied essence or substance.

A fifth of that something.A fifth of that something.A fifth of that something.A fifth of that something.

Well, a fifth is one fifth of one, that's why it's called a fifth, it's divided into five. If your question was 'what is a fifth a tenth of?', then the answer would be two. What is a fifth a seventh of? 1.4, etc.

One fifth plus one fifth is two fifths (2/5).

The letter a is a variable. "To the fifth" means to the fifth power, or a*a*a*a*a. If a equals 3, "a to the fifth" equals 243.

fifth

"Life" was the fifth element...