Frequency question

Archiver

Does anyone know the appropriate frequencies fr the music notes C,D,E,F,G,A,B
and C+.
I would be very happy if you could help since this will help me to decorate
my project and to get a better grade[noparse]:)[/noparse]))
thanx for your helps!

Archiver

Hi,


Well here goes....

Concerts normally tune their concert A to 440 hz.
This would be the A below 'middle C' of the piano.

You divide this by 2 to get lower octave(2)

440/2 = 220 hz = A 1 octave lower than the A below middle C

Or times this by 2 to get upper octave(s)

440 * 2 = 880 hz = A 1 octave above A below middle C

So messing around with this you would find that the note A
appears on

example:
110 hz
220 hz
440 hz
880 hz
1760 hz

etc.......

Now you want to know what the other notes (sharps and flats) are.

First you have to learn a magic number.

The 12th root of 2

It can be calculated as 2^(1/12)

The number is 1.059463094

For any given note (frequency):

multiply by the above number for next note above

divide by the above number for the next note below

example:

A=440 hz

A# (A sharp) = 440 * 1.059463094 = 466.1637615 hz

Ab (A flat) = 440 / 1.059463094 = 415.3046976 hz

Of course in stamps we normally dont deal with the numbers
after the decimal points so rounded works fine.

It would probably be best to put all of the note data in
a table for look up.


Hope this helps,

Bandit









At 07:16 PM 4/30/01 +0300, you wrote:
>Does anyone know the appropriate frequencies fr the music notes C,D,E,F,G,A,B
>and C+.
>I would be very happy if you could help since this will help me to decorate
>my project and to get a better grade[noparse]:)[/noparse]))
>thanx for your helps!
>
>
>
>
>Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/
>
>
>
>

Archiver

>First you have to learn a magic number.
>The 12th root of 2
>It can be calculated as 2^(1/12)
>The number is 1.059463094
>For any given note (frequency):
>multiply by the above number for next note above
>divide by the above number for the next note below
>
>example:
>A=440 hz
>A# (A sharp) = 440 * 1.059463094 = 466.1637615 hz
>Ab (A flat) = 440 / 1.059463094 = 415.3046976 hz
>Of course in stamps we normally dont deal with the numbers
>after the decimal points so rounded works fine.
>It would probably be best to put all of the note data in
>a table for look up.


Here is a curious example of how to use fractional multiplication to
play a chromatic scale on the stamp:
http://www.emesys.com/BS2math1.htm
The musical scale link.

Basically the 1.059463094 is approximated on the stamp using the **
operator as,

next_note_up = note ** 3898 + note
next_note_down = note ** 61858

-- best regards
Tracy Allen
electronically monitored ecosystems
http://www.emesystems.com
mailto:tracy@e...

Archiver

Wow! Mr. Tracy Allen, someday I would like to shake your hand.