Weird Frequency Phenomenon

Help, can someone explain how and what is happening in the below?

Is there some standard musical, math explanation for this?

Frequency #1 Reciprocal of Freq 1 *2
----------------------------------------
1.851351 1.080292

Frequency #2 Reciprocal of Freq 1 *2
----------------------------------------
-1.167568 -1.712963

Frequency #1 / Reciprocal of Freq 1 *2
-------------------------------------------
1.851351 / -1.712963 = -1.080789
-1.080789 = Close to Reciprocal of Freq # 1

Reciprocal of Freq 1 *2 / Frequency #2
-------------------------------------------
1.080292 / -1.167568 = -1.850501

-1.850501 = Close to Freq # 1

---------------------------------
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--- In tuning@yahoogroups.com, dar kone <zarkorgon@...> wrote:
>
> Help, can someone explain how and what is happening in the below?

You are using negative frequencies. What does that mean?

Also, you are creating quantities with the dimensions of frequency
squared. That is, if anything, even more meaningless. Frequency has
dimension 1/time, and you can't meaningfully compare two quantities
with different dimensions.

> Is there some standard musical, math explanation for this?

If you play with enough apparently random numbers, you will obtain
some apparent coincidences.

Why did you choose those particular values to start with?

Why don't you choose different starting values, then see what happens?

Better still, use algebra!

~~~T~~~

> Frequency #1 Reciprocal of Freq 1 *2
> ----------------------------------------
> 1.851351 1.080292
>
>
> Frequency #2 Reciprocal of Freq 1 *2
> ----------------------------------------
> -1.167568 -1.712963
>
>
> Frequency #1 / Reciprocal of Freq 2 *2
> -------------------------------------------
> 1.851351 / -1.712963 = -1.080789
> -1.080789 = Close to Reciprocal of Freq # 1
>
> Reciprocal of Freq 1 *2 / Frequency #2
> -------------------------------------------
> 1.080292 / -1.167568 = -1.850501
>
> -1.850501 = Close to Freq # 1
>
>

I agree with everything Tom Dent said. Where did the numbers at the
beginning come from?

Also,

> 1.080292 / -1.167568 = -1.850501

This is incorrect. 1.080292 / -1.167568 = -0.9252497. You're off by a
factor of two.

Keenan