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In musical tuning theory, a Pythagorean in … In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa. For instance, the perfect fifth with ratio 3/2 (equivalent to 31/ 21) and the perfect fourth with ratio 4/3 (equivalent to 22/ 31) are Pythagorean intervals. All the intervals between the notes of a scale are Pythagorean if they are tuned using the Pythagorean tuning system. However, some Pythagorean intervals are also used in other tuning systems. For instance, the above-mentioned Pythagorean perfect fifth and fourth are also used in just intonation.d fourth are also used in just intonation.
, 畢氏音程(英語:Pythagorean interval)是一個音樂理論,由著名的古 … 畢氏音程(英語:Pythagorean interval)是一個音樂理論,由著名的古希臘哲學家畢達哥拉斯所提倡的,這理論為日後西方音樂學,特別是解釋音程時提供了非常清晰的介定。 畢氏音程的基本原則是,凡由兩個不同音高的音所構成的音程,它們的頻率關係必然是3的次方除以2的次方(),或是2的次方除以3的次方(),當中m和n皆為正整數。 以為例,純四度的頻率關係是,即4:3;純五度為,即3:2;至於純八度則是,也就是2:1。 由以上的純音程,通過特定的計算方法,便可以把一個八度包含的全部音符都找出來,而且由任何兩個音所組成的音程,它們的頻率關係仍然保持著或。這種調音的方法,亦稱作(Pythagorean tuning)。由畢氏調律所調出來的音階,和現時常用的十二平均律音階有一點差別。以大調為例,畢氏調律的大調,第3、6、7音的頻率稍為高一點。二平均律音階有一點差別。以大調為例,畢氏調律的大調,第3、6、7音的頻率稍為高一點。
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畢氏音程(英語:Pythagorean interval)是一個音樂理論,由著名的古 … 畢氏音程(英語:Pythagorean interval)是一個音樂理論,由著名的古希臘哲學家畢達哥拉斯所提倡的,這理論為日後西方音樂學,特別是解釋音程時提供了非常清晰的介定。 畢氏音程的基本原則是,凡由兩個不同音高的音所構成的音程,它們的頻率關係必然是3的次方除以2的次方(),或是2的次方除以3的次方(),當中m和n皆為正整數。 以為例,純四度的頻率關係是,即4:3;純五度為,即3:2;至於純八度則是,也就是2:1。 由以上的純音程,通過特定的計算方法,便可以把一個八度包含的全部音符都找出來,而且由任何兩個音所組成的音程,它們的頻率關係仍然保持著或。這種調音的方法,亦稱作(Pythagorean tuning)。由畢氏調律所調出來的音階,和現時常用的十二平均律音階有一點差別。以大調為例,畢氏調律的大調,第3、6、7音的頻率稍為高一點。二平均律音階有一點差別。以大調為例,畢氏調律的大調,第3、6、7音的頻率稍為高一點。
, In musical tuning theory, a Pythagorean in … In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa. For instance, the perfect fifth with ratio 3/2 (equivalent to 31/ 21) and the perfect fourth with ratio 4/3 (equivalent to 22/ 31) are Pythagorean intervals.lent to 22/ 31) are Pythagorean intervals.
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rdfs:label |
畢氏音程
, Pythagorean interval
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