1/4 Step Down = ???? Hz

[Prime Mover]

Thanks, need to know for an Eagles Song.

Prime Mover

[Vu]

Prime Mover wrote:

> Thanks, need to know for an Eagles Song.
>

Here's what I know. Given a note's frequency, (eg. A = 440Hz), the next step
higher is A multiplied by the twelfth root of two, that is:
Frequency of A# (A sharp) = 440 x 2^(1/12) = 466.1637615Hz
Therefore, Ab (A flat) = 440 / 2^(1/12) = 415.3046976Hz

I have no idea how to make a song 1/4 of a step down.
Maybe some else can help.

--
Vu.

You might be a Redneck Jedi...

20. if you hear . . . "Luke, I am your father...and your uncle."

[A500Amiga]

>Subject: Re: 1/4 Step Down = ???? Hz
>From: Vu v_...@hotmail.com
>Date: 6/2/01 9:18 AM Pacific Daylight Time
>Message-id: <3B1911F1...@hotmail.com>

>
>
>
>Prime Mover wrote:
>
>> Thanks, need to know for an Eagles Song.
>>
>
>Here's what I know. Given a note's frequency, (eg. A = 440Hz), the next step
>higher is A multiplied by the twelfth root of two, that is:
>Frequency of A# (A sharp) = 440 x 2^(1/12) = 466.1637615Hz
>Therefore, Ab (A flat) = 440 / 2^(1/12) = 415.3046976Hz
>
>I have no idea how to make a song 1/4 of a step down.
>Maybe some else can help.
>

Easy 1/4 thstep would be at (1/24) in your example
Half way between A and A# would be 440x2^(1/24) = 452.8929843Hz

[Prime Mover]

If I am tuning down how could the resulting frequency be higher?

Since I know the opening chords I will try to tune by ear....<gasp>

If anyone has any other suggestions please post.

Thanks a500...@aol.com

Primemover

>"A500Amiga" <a500...@aol.com> wrote in message
news:20010603001453.25269.00002455@ng->ck1.aol.com...

[Vu]

Prime Mover wrote:

> If I am tuning down how could the resulting frequency be higher?
>
> Since I know the opening chords I will try to tune by ear....<gasp>
>
> If anyone has any other suggestions please post.
>
> Thanks a500...@aol.com
>

Basically, if a song isn't quite in standard pitch, I tune by ear anyway.

[Adam Bishop]

I'm not sure how to explain how I do it....with my tuner, I tune the string
down 50 cents rather than 100. Or, in other words, until the line is at the
very edge of the left side of the screen. I don't know if that makes any
sense without me being able to show you :)

[Vu]

Adam Bishop wrote:

> I'm not sure how to explain how I do it....with my tuner, I tune the string
> down 50 cents rather than 100. Or, in other words, until the line is at the
> very edge of the left side of the screen. I don't know if that makes any
> sense without me being able to show you :)

I think I know what you mean.
What's a cent anyway?

[Dylan]

In music, half-steps can be divided further, into100 "cents".

Therefore:

200 cents = 1 whole step (ie C to D)
100 cents = 1 half step (ie C to C#)
50 cents = 1/4 step (ie C to somewhere between C and C#)

That's what I know about it. Correct me if I'm wrong.....

Vu <v_...@hotmail.com> wrote in message news:3B1A6B43...@hotmail.com...

[Smoke1]

452.8929843Hz would be 1/4 step up. 1/4 step down would be half way between A
and Ab. 440 / 2^(1/24)=427.474054108Hz
In article <20010603001453...@ng-ck1.aol.com>, a500...@aol.com
says...

[Vu]

thanks
Vu.

[blamft]

>If I am tuning down how could the resulting frequency be higher?

it's not. the previous post gave the example of if you were tuning halfway
between A and A#. you need to go the opposite way, eg halfway between Ab
and A (440/2^(1/24)=427.475)
-blamft

[Burkhard Arrenberg]

I think you are perfectly right. Starting from A = 440Hz, adding two
times 1/4 jumps, you get with your formula A = 440x2^(1/24) x 2^(1/24)
= 440 x 2^(1/24 + 1/24) = 440 x 2^(2/24) = 440 x 2^(1/12) = A#. That
sounds very reasonable.