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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?
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∙ 14y ago
2:1
Virginia Von
Ryan Rivera
Perfect octave
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∙ 14y agoB.perfect octave
Wiki User
∙ 14y agoperfect octave (apex)
There is a question here, but it's not clear what it is.
While it is likely that the physical measure relating to the octave (that a string half as long in vibrating length as another of the same material and at the same tension will sound an octave higher) was figured out considerably before Pythagoras, he is credited with formulating the mathematical laws relating to musical intervals.
As the story goes, Pythagoras was walking past a smith's shop and heard the striking of hot metal by hammers. Each hammer rang in a 'harmonious' manner with the others. Thinking (it is said) that there must be a mathematical law governing such beauty, he returned to the shop and found that the hammers were weighted in whole number increments (i.e., if one hammer was one pound, the next would be two pounds and the next three pounds, etc.)
He found that a weight difference (and thus mass difference) between two hammers formed a ratio of 1 to 2, that the two hammers rang at octaves. Likewise, if the two hammer's masses formed a ratio of 3 to 2, the resulting interval was a perfect fifth, and 3:4 formed a major third, etc.
If it was not Pythagoras who applied this to the length of strings, then just as surely it was one of his students, who considered themselves to be "of the School of Pythagoras". The Pythagoreans were convinced that nature was ruled by simple mathematical rules, and set out to discover and consolidate as many of these rules as possible.
Centuries ensued between the 6th Century BC when Pythagoras lived and the development of the ability to measure the actual frequency of vibrating bodies (such as strings and hammer heads), at which time the measurements were applied to bodies with ratios of mass or tension or length, and the ratios were verified numerically!
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∙ 12y agoperfect octave
*For ration 3:4, it is perfect fourth
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∙ 14y agoperfect fourth
Melon
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∙ 14y agoPerfect fourth
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∙ 6y agoIt is a doubling of the frequency.
justin stevens
perfect octave
Sleepy Axolotl
2:3 APEX
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Pythagoras discovered by stretching out two strings that to create the interval of a?
perfect fourth !
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
How many strings does the veena have?
It has 7 strings 4 main strings and 3 thala strings
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.
Pythagoras discovered by stretching out two strings that to create the interval of a?
perfect fourth !
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 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 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 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
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
How many strings does veena have?
It has 7 strings 4 main strings and 3 thala strings
How many strings does the veena have?
It has 7 strings 4 main strings and 3 thala strings
