作业帮……英语、音乐、数学三项全能者进!
来源：学生作业帮 编辑：拍题作业网作业帮 分类：英语作业 时间：2024/05/16 02:09:53
……英语、音乐、数学三项全能者进!
一本里的题目,对于音乐我只知道十二平均律,其余什么八度,钢琴我都不太了解.以下 (2/5)12 是五分之二的12次方,(1/2)7是二分之一的7次方,（x）12=2是x的12次方等于2,12*(2)1/12是12乘以2开12次方.
数学上怎么算的就不用讲了,我只想知道音乐上的知识.把全文翻译明白也可以,
The ancient Greeks analyzed music mathematically.They found that if pipes of length L and L/2 are struck,they make tones that blend together nicely.We say that those tones are one octave apart.In general,nice harmonies are produced by pipes(or strings) with rational ratios of lengths.For example,pipes of length L and 2L/3 form a fifth(e.g.middle C and G above middle C).On a piano keyboard,12 fifths are equal to 7 octaves.A glitch in piano tuning.Known as the Pythagorean comma,results from the fact that 12 fifths with total length ratio (2/5)12 do not equal 7 octaves with length ratio (1/2)7.Show that the difference is about 1.3%.
For the 12 keys of a piano octave to have exactly the same length ratios,the ratio of consective lengths should be a number x such that （x）12=2.Briefly explain why.This means that x=12*(2)1/12 .There are problems with this equal-tempered tuning.First,(2)1/12 is irrational.Explain why it would be difficult to get the pipe or string exactly the right length.In any case,musicians say that equal-tempered pianos sound "dull";
机器的翻译就不要来了！
一本里的题目,对于音乐我只知道十二平均律,其余什么八度,钢琴我都不太了解.以下 (2/5)12 是五分之二的12次方,(1/2)7是二分之一的7次方,（x）12=2是x的12次方等于2,12*(2)1/12是12乘以2开12次方.
数学上怎么算的就不用讲了,我只想知道音乐上的知识.把全文翻译明白也可以,
The ancient Greeks analyzed music mathematically.They found that if pipes of length L and L/2 are struck,they make tones that blend together nicely.We say that those tones are one octave apart.In general,nice harmonies are produced by pipes(or strings) with rational ratios of lengths.For example,pipes of length L and 2L/3 form a fifth(e.g.middle C and G above middle C).On a piano keyboard,12 fifths are equal to 7 octaves.A glitch in piano tuning.Known as the Pythagorean comma,results from the fact that 12 fifths with total length ratio (2/5)12 do not equal 7 octaves with length ratio (1/2)7.Show that the difference is about 1.3%.
For the 12 keys of a piano octave to have exactly the same length ratios,the ratio of consective lengths should be a number x such that （x）12=2.Briefly explain why.This means that x=12*(2)1/12 .There are problems with this equal-tempered tuning.First,(2)1/12 is irrational.Explain why it would be difficult to get the pipe or string exactly the right length.In any case,musicians say that equal-tempered pianos sound "dull";
机器的翻译就不要来了！
远古的希腊人算术地分析了音乐.他们发现如果长度 L 和 L／2 的管被打,他们声音可以和好调混和在一起.我们说那些色调分别是一个人音度.大体上,好的和声由管的长度的合理比率产生（管的长度的不同产生不同的和音）.举例来说,长度 L 和 2L ／3的管敲打就组合成一个五度音（例如；在中央的 C调 上面的中央的 C 调和 G调）.在一个钢琴键盘上,12个五度音 和 7个八音度理论上相等.事实上在钢琴音调中的一个差.被叫做 毕达哥拉斯的（音乐家） 差,起因于事实12个五度音用总长度比率 五分之二个12 个五度音不等于比率 二分之一个7 个八音度.（数学等式不成立12个五度音的五分之二不等于7个八度音的1/2）,差额是大约 1.3% .也就是（在具体运用五度音程的循环时,12个五度音程从理论上讲应等于7个八度,但实际上不等于这个音差为半音的1;4,称为毕达哥拉斯音差.）
对于完全地有相同的长度比率的一个钢琴八音度的这 12个键,延续 长度的比率应该是一个数目 x 以致于 （x） 12=2.简短地说明为什么.这意谓那 x ＝12*(2)1/12 .有这个相等的调和调谐的问题.首先 (2), 1/12 是无理数.说明为什么拿管或者完全地串起正的长度会是困难的.无论如何,音乐家说相等音效的钢琴听起来是不明显的（大致的音效相同）
其实不是你想象中那么复杂的
其实我不太懂音乐,但是我知道这文章就是说五度音和八度音的区别的,可能他们很像吧
octaves
八(音)度,倍频程(八度)
属类：【IT行业】-〖电脑术语〗-[null]
staccato octaves.
断音的八度音
属类：【综合句库】-〖-〗-[-]
law of octaves
n.八行周期律
属类：【机械模具】-〖机械〗-[null]
law of octaves
八行周期律
属类：【科技词典】-〖-〗-[-]
Newland's law of octaves
纽兰的八元素律
属类：【科技词典】-〖-〗-[-]
Its range is two and a half octaves.
音域两个半八度.
属类：【社会文化】-〖音乐〗-[笛子]
Its range is generally five octaves and three-eighths.
一般按四五度定弦,音域三个八度.
属类：【社会文化】-〖音乐〗-[板胡]
The range is normally five octaves, and sometimes four in special cases.
一般以五度定弦,为特殊用途,也可用四度定弦.
属类：【社会文化】-〖音乐〗-[二胡]
Raising its register four or five octaves, and giving it a brighter tone.
定弦比二胡高出四度或五度,音色更加明亮
属类：【社会文化】-〖音乐〗-[广东音乐]
The zheng has a five-note scale, with its musical range reaching four octaves.
按五声音阶定音,音域可达4个八度.
属类：【社会文化】-〖音乐〗-[筝]
A slender woodwind instrument with a conical bore and a double reed mouthpiece,having a range of three octaves and a penetrating,poignant sound.
双簧管带有一个圆锥形孔和双簧管吹口的细小的木管乐器,具有三个八度音域和穿透力强而尖利的声音
属类：【综合句库】-〖-〗-[-]
" In the application of the cycle of fifths, 12 fifths are equal to 7 octaves in theory, but in actuality are not. The discrepancy, which is about a quarter of a semitone and is known as the Pythagorean comma,"
在具体运用五度音程的循环时,12个五度音程从理论上讲应等于7个八度,但实际上不等于这个音差为半音的1;4,称为毕达哥拉斯音差.
属类：【行业术语】-〖音乐〗-[音乐知识]
A low - pitched woodwind instrument with a double reed,having a long wooden body attached to a U - shaped lateral tube that leads to the mouthpiece.The range of this instrument is typically two octaves lower than that of the oboe.
巴松管,低音管一种低调的有双簧的木管乐器,有长的木质管身并与通向吹口的侧面管身相连,这种乐器的音域范围比双簧管明显的低两个八音度
你自己认真看看,还有那些a fifth 是一个五度音,不是五分之一,相对的其他的也不是.
对于完全地有相同的长度比率的一个钢琴八音度的这 12个键,延续 长度的比率应该是一个数目 x 以致于 （x） 12=2.简短地说明为什么.这意谓那 x ＝12*(2)1/12 .有这个相等的调和调谐的问题.首先 (2), 1/12 是无理数.说明为什么拿管或者完全地串起正的长度会是困难的.无论如何,音乐家说相等音效的钢琴听起来是不明显的（大致的音效相同）
其实不是你想象中那么复杂的
其实我不太懂音乐,但是我知道这文章就是说五度音和八度音的区别的,可能他们很像吧
octaves
八(音)度,倍频程(八度)
属类：【IT行业】-〖电脑术语〗-[null]
staccato octaves.
断音的八度音
属类：【综合句库】-〖-〗-[-]
law of octaves
n.八行周期律
属类：【机械模具】-〖机械〗-[null]
law of octaves
八行周期律
属类：【科技词典】-〖-〗-[-]
Newland's law of octaves
纽兰的八元素律
属类：【科技词典】-〖-〗-[-]
Its range is two and a half octaves.
音域两个半八度.
属类：【社会文化】-〖音乐〗-[笛子]
Its range is generally five octaves and three-eighths.
一般按四五度定弦,音域三个八度.
属类：【社会文化】-〖音乐〗-[板胡]
The range is normally five octaves, and sometimes four in special cases.
一般以五度定弦,为特殊用途,也可用四度定弦.
属类：【社会文化】-〖音乐〗-[二胡]
Raising its register four or five octaves, and giving it a brighter tone.
定弦比二胡高出四度或五度,音色更加明亮
属类：【社会文化】-〖音乐〗-[广东音乐]
The zheng has a five-note scale, with its musical range reaching four octaves.
按五声音阶定音,音域可达4个八度.
属类：【社会文化】-〖音乐〗-[筝]
A slender woodwind instrument with a conical bore and a double reed mouthpiece,having a range of three octaves and a penetrating,poignant sound.
双簧管带有一个圆锥形孔和双簧管吹口的细小的木管乐器,具有三个八度音域和穿透力强而尖利的声音
属类：【综合句库】-〖-〗-[-]
" In the application of the cycle of fifths, 12 fifths are equal to 7 octaves in theory, but in actuality are not. The discrepancy, which is about a quarter of a semitone and is known as the Pythagorean comma,"
在具体运用五度音程的循环时,12个五度音程从理论上讲应等于7个八度,但实际上不等于这个音差为半音的1;4,称为毕达哥拉斯音差.
属类：【行业术语】-〖音乐〗-[音乐知识]
A low - pitched woodwind instrument with a double reed,having a long wooden body attached to a U - shaped lateral tube that leads to the mouthpiece.The range of this instrument is typically two octaves lower than that of the oboe.
巴松管,低音管一种低调的有双簧的木管乐器,有长的木质管身并与通向吹口的侧面管身相连,这种乐器的音域范围比双簧管明显的低两个八音度
你自己认真看看,还有那些a fifth 是一个五度音,不是五分之一,相对的其他的也不是.