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            â·¹¤×ͤÇÒÁ¶Õè¢Í§¡ÒÃà»Åè§àÊÕ§¢Í§wbr>à¤Ã×èͧwbr>´¹µÃÕ¹Ñé¹ æ µèͤÇÒÁ¶Õè¨Ö§à»ç¹¤èÒ ¾Ô·ªì (pitch) «Öè§à¡Ô´¨Ò¡¡ÒÃÊÑ蹢ͧÊÒÂwbr>à¤Ã×èͧwbr>´¹µÃÕ ¤èÒ¤ÇÒÁÊÑè¹¹ÕéÇÑ´¡Ñ¹ã¹Ë¹èÇ àÎÔÃì·«ì ËÃ×ͨӹǹÃͺµèÍÇÔ¹Ò·Õ ¶éÒãËé¤ÇÒÁÂÒǢͧÊÒ·ÕèãªéÊÑè¹à¾ÔèÁ¢Öé¹Ë¹Öè§à·èÒµÑÇ ¨Ð·ÓãËé¾Ô·ªìŴŧÁÒ˹Öè§Íç͡ൿ  Áҵðҹ¢Í§¾Ô·ªì·ÕèÍÂÙèµÃ§¡ÅÒ§ãªé·Õè¤ÇÒÁ¶Õè 440 àÎÔÃì·«ì  â·¹¨Ö§à»ç¹ÊÔè§·Õè¼Ùé¿Ñ§ºÍ¡ä´éÇèÒÊÙ§ËÃ×͵èÓ

            ÊÓËÃѺ¤ÕÂìºÍÃì´àªè¹à»ÕÂâ¹ ÁÕ¤ÕÂì·Ñé§ËÁ´ 88 ¤ÕÂì  «Öè§à»ç¹¤ÕÂìÊÕ¢ÒÇáÅÐ´Ó ÃٻẺ¢Í§á»é¹¤ÕÂì¨Ð«éÓ·Ø¡ æ 12 ¤ÕÂì «Öè§ã¹ªØ´ 12 ¤ÕÂì¹ÕéÁÕ¤ÕÂì¢ÒÇ 7 ¤ÕÂì áÅÐ´Ó 5 ¤ÕÂì  ¤ÕÂì¢ÒÇ ¹ÕéÁÕª×èÍ A ¶Ö§ G Êèǹ¤ÕÂì´ÓÁÕ¡ÒÃàÃÕ¡ÇèÒ ªÒÃì» () áÅÐ á¿Åµ ( ) àÃÒ¨ÐãªéªÒÃì»à¾×èÍàÃÒµéͧ¡ÒÃà¾ÔèÁÊà¡Å áÅÐãªéá¿ÅµàÁ×è͵éͧ¡ÒÃÅ´Êà¡Åŧ àªè¹ ¤ÕÂìÃÐËÇèÒ§ F áÅÐ G ÁÕ¤ÕÂì F ªÒÃì» ËÃ×Í G á¿Åµ ¢Öé¹ÍÂÙè¡Ñº·ÔÈ·Ò§·Õèãªé ºÒ§·ÕèàÃÒ¨ÐàË繤ÕÂì¢ÒǵԴ¡ÑºÊͧ¤ÕÂì áÅÐÁÕÊͧ·ÕèᵡµèÒ§¡Ñ¹ ¤×Í B áÅÐ C     E áÅÐ F àÃÒÊÒÁÒöàÃÕ¡ªÒÃì»áÅÐá¿Åµä´é ´Ñ§µÑÇÍÂèÒ§àªè¹ C á¿Åµ ¤×Í B áÅР B ªÒÃì» ¤×Í C

            ¨Ò¡·Õè¡ÅèÒÇáÅéÇÇèҵç¡ÅÒ§¢Í§ A ¤×ͤÇÒÁ¶Õè 440 Hz áÅÐà¾×èÍãËéÊà¡Åãªé§Ò¹ä´éà·èҡѹ àÃÒ¨Ö§ãªé¤³ÔµÈÒʵÃì·Ó¡ÒÃáºè§ â´ÂãªéµÑÇàÅ¢¤§·Õè ¤×Í 1.059463 à»ç¹µÑǤٳ

  ª×èÍâ¹éµ   ¤ÇÒÁ¶ÕèµèÓ·Õèãªéà»ç¹°Ò¹ x ¤èÒ¤§·Õè = ¤ÇÒÁ¶Õè·Õèä´é
A3 La           220.0 Hz
A#3   = 220 x 1.059463 = 233.1 Hz
B3 Ti = 233.1 x 1.059463 = 246.9 Hz
C4 Do = 246.9 x 1.059463 = 261.6 Hz
C#4   = 261.6 x 1.059463 = 277.2 Hz
D4 Re = 277.2 x 1.059463 = 293.7 Hz
D#4   = 293.7 x 1.059463 = 311.1 Hz
E4 Mi = 311.1 x 1.059463 = 329.6 Hz
F4 Fa = 329.6 x 1.059463 = 349.2 Hz
F#4   = 349.2 x 1.059463 = 370.0 Hz
G4 So = 370.0 x 1.059463 = 392.0 Hz
G#4   = 392.0 x 1.059463 = 415.3 Hz
A4 La = 415.3 x 1.059463    =       440.0 Hz

            ¨Ò¡ËÅÑ¡¡ÒùÕé ·ÓãËé¤èÒÊͧ¤èÒ·Õè⤡ѹÁÕÊÑ´Êèǹ¤§·Õè

 C#/C  ÁÕ¤èÒ 1.0594630

            áÅФÇÒÁ¶Õè·Õè¤èҢͧÍç͡ൿ¡Ñ¹

  A4/A3   ÁÕ¤èÒ  440/220  =  2/1

            ¨Ò¡·Õè¡ÅèÒÇáÅéÇÇèÒ ¶éÒ·ÓãËéÊÒÂà¤Ã×èͧ´¹µÃÕÊÑé¹Å§¨Ðä´é¤ÇÒÁ¶ÕèÊÙ§¢Öé¹  ´Ñ§¹Ñé¹ã¹¤ÇÒÁ¶Õè·ÕèµèÒ§Íç͡ൿ¡Ñ¹ ¨ÐÁÕÍѵÃÒÊèǹ 2:1  «Ö觨еéͧ·ÓãËé¤ÇÒÁÂÒÇÊÒÂà»ç¹Êèǹ¡ÅѺ¤×Í 1:2

 


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