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Pythagoras discovered by stretching out two strings that to create the interval of a you need to play the second string using a ratio of 3 4?

2:1


How did the Pythagoras contribute to ancient music theory?

It is highly probable that the Greek initiates gained their knowledge of the philosophic and therapeutic aspects of music from the Egyptians, who, in turn, considered Hermes the founder of the art. According to one legend, this god constructed the first lyre by stretching strings across the concavity of a turtle shell. Both Isis and Osiris were patrons of music and poetry. Plato, in describing the antiquity of these arts among the Egyptians, declared that songs and poetry had existed in Egypt for at least ten thousand years, and that these were of such an exalted and inspiring nature that only gods or godlike men could have composed them. In the Mysteries the lyre was regarded as the secret symbol of the human constitution, the body of the instrument representing the physical form, the strings the nerves, and the musician the spirit. Playing upon the nerves, the spirit thus created the harmonies of normal functioning, which, however, became discords if the nature of man were defiled. While the early Chinese, Hindus, Persians, Egyptians, Israelites, and Greeks employed both vocal and instrumental music in their religious ceremonials, also to complement their poetry and drama, it remained for Pythagoras to raise the art to its true dignity by demonstrating its mathematical foundation. Although it is said that he himself was not a musician, Pythagoras is now generally credited with the discovery of the diatonic scale. Having first learned the divine theory of music from the priests of the various Mysteries into which he had been accepted, Pythagoras pondered for several years upon the laws governing consonance and dissonance. How he actually solved the problem is unknown, but the following explanation has been invented. One day while meditating upon the problem of harmony, Pythagoras chanced to pass a brazier's shop where workmen were pounding out a piece of metal upon an anvil. By noting the variances in pitch between the sounds made by large hammers and those made by smaller implements, and carefully estimating the harmonies and discords resulting from combinations of these sounds, he gained his first clue to the musical intervals of the diatonic scale. He entered the shop, and after carefully examining the tools and making mental note of their weights, returned to his own house and constructed an arm of wood so that it: extended out from the wall of his room. At regular intervals along this arm he attached four cords, all of like composition, size, and weight. To the first of these he attached a twelve-pound weight, to the second a nine-pound weight, to the third an eight-pound weight, and to the fourth a six-pound weight. These different weights corresponded to the sizes of the braziers' hammers. Pythagoras thereupon discovered that the first and fourth strings when sounded together produced the harmonic interval of the octave, for doubling the weight had the same effect as halving the string. The tension of the first string being twice that of the fourth string, their ratio was said to be 2:1, or duple. By similar experimentation he ascertained that the first and third string produced the harmony of the diapente, or the interval of the fifth. The tension of the first string being half again as much as that of the third string, their ratio was said to be 3:2, or sesquialter. Likewise the second and fourth strings, having the same ratio as the first and third strings, yielded a diapente harmony. Continuing his investigation, Pythagoras discovered that the first and second strings produced the harmony of the diatessaron, or the interval of the third; and the tension of the first string being a third greater than that of the second string, their ratio was said to be 4:3, or sesquitercian. The third and fourth strings, having the same ratio as the first and second strings, produced another harmony of the diatessaron. According to Iamblichus, the second and third strings had the ratio of 8:9, or epogdoan. The key to harmonic ratios is hidden in the famous Pythagorean tetractys, or pyramid of dots. The tetractys is made up of the first four numbers--1, 2, 3, and 4--which in their proportions reveal the intervals of the octave, the diapente, and the diatessaron. While the law of harmonic intervals as set forth above is true, it has been subsequently proved that hammers striking metal in the manner


What is the name of the part that holds the strings on an acoustic guitar?

Your Bass Strings are usually fed through a hole at the base of your bass. (The metal fixing at the bottom) one end of your strings should have stoppers at the end, feed the the opposite end through first, then attatch your strings too the tune keys and wind up, Good Luck


Why are instruments tuned before being played as a group?

To make sure that they're in tune and everything's properly adjusted. Professional musicians also tend to restring their instruments before a show. And new strings need "stretching" because the slack in the strings has not yet been stretched out, so to play a newly restrung guitar right away tends to mean that the strings will go out of tune quickly.


How many strings does the veena have?

It has 7 strings 4 main strings and 3 thala strings

Related Questions

What did the Pythagoras was discovered by stretching out two strings that to create the interval of a?

A perfect octave


Pythagoras discovered by stretching out two strings that to create the interval of a you need to play the second string using a ratio of 21.?

Perfect


Pythagoras discovered by stretching out two strings that to create the interval of a you need to play the second string using a ratio of 34.?

Perfect fourth


Pythagoras discovered that to create the interval of a octave by stretching out two strings you need to play the second string using a ratio of 21.?

Perfect


Pythagoras discovered that to create the interval of a octave by stretching out two strings you need to play the second string using a ratio of 21?

Perfect


What did Pythagoras discover by stretching out two strings to create the interval of what?

Pythagoras discovered the mathematical relationship between musical intervals, specifically the perfect fifth, by stretching out two strings to create the interval of a fifth. He found that the ratio of the lengths of the strings producing this interval was 3:2. This observation led to the understanding of how different string lengths produce harmonious sounds, influencing both music theory and mathematics.


Pythagoras discovered by stretching out two strings that to create the interval of a you need to play the second string using a ratio of 2 to 1?

Perfect octave.


Pythagoras discovered that to create the interval of a octave by stretching out two strings you need to play the second string using a ratio of 2-1?

perfect fourth


Pythagoras discovered that to create the interval of a octave ny stretching out two strings you need to play the second string using ratio of 2 1?

Pythagoras discovered that the interval of an octave can be achieved by stretching two strings to create a frequency ratio of 2:1. When the length of one string is halved, it vibrates at twice the frequency of the original string, producing a sound that is perceived as an octave higher. This foundational principle of musical harmony illustrates the relationship between string length and pitch in music theory.


What Pythagoras discovered by stretching out two strings that to create the interval of a you need to play the second string using a ratio of 34.?

Pythagoras discovered that when two strings are stretched to create musical intervals, their lengths must be in specific ratios to produce harmonious sounds. For a perfect fifth interval, the ratio of the lengths of the two strings should be 3:2. This means if one string is of length 3 units, the second string should be of length 2 units to create the interval. Thus, he linked mathematics and music, highlighting the relationship between numerical ratios and musical harmony.


Pythagoras discovered b stretching out two strings that to create the interval of a?

Pythagoras is known for his contributions to mathematics, particularly the Pythagorean theorem. The discovery of musical intervals through the stretching of strings relates to the concept of harmony, where the lengths of the strings produce specific pitches. By experimenting with different string lengths, he identified that the ratio of the lengths corresponds to the intervals in music, leading to the understanding of how mathematical relationships underpin musical harmony. This insight laid the groundwork for the connection between mathematics and music theory.


Pythagoras discovered by stretching out two strings that to create the interval of a blank you need to play the second string using a ratio of 2 1 apex?

Pythagoras discovered that to create the interval of an octave, you need to play the second string at a frequency that is double that of the first string, resulting in a 2:1 ratio. This principle illustrates how harmonious sounds can be achieved through specific numerical relationships. The octave is fundamental in music theory, highlighting the connection between mathematics and musical intervals.