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Re: New scale

🔗Mike Battaglia <battaglia01@...>

10/18/2012 5:12:32 PM

Have you ever tried a scale with 15 notes per octave?

-Mike

On Thu, Oct 18, 2012 at 7:15 PM, Mario Pizarro Aguilar <piagui8@...>wrote:

> Hi everybody,
>
> Next week I will send you more data, by now I give you the 12 decimal
> tone frequencies of a special scale whose tone interval common factor is
> equal to 1.0595627339.
>
> Some interesting properties of the scale are given here;
> -- The square of any tone frequency gives the frequency of another tone;
> for example;
> D Squared = E; Squared E = Ab.
>
> -- All tone fifths coincide with a scale tone provided the fifth ratio is
> the G frequency (1.49929373635).
>
> -- All major thirds have the same ratio.
>
> C -- 1
> C# -- 1.059562727339
> D -- 1.12267318787
> Eb -- 1.18954267137
> E -- 1.26039508496
> F -- 1.33546766202
> F# -- 1.415011767
> G -- 1.49929373635
> Ab -- 1.5885957702
> A -- 1.6832168773
> Bb -- 1.7834738763
> B -- 1.88970245621
> 2° C -- 2.00225830076 = 2* M
>
> 1.04434743983^16 = 2.00225830076
>
> Mario Pizarro
>
> piagui8@...
> piagui@ec-red.com
>