Dear Community, I've already defined some microtonal pitchnames But, unfortunately I have problems with the correct spacing. Especially I don't understand why the distance between the barline and the cis is better if it is a whole note but not, if it is a quartenote. Here the snippet: \version "2.13.3"
\include "stefansMikrotoene.ly"
\relative c' {
c co coo cih cis cis cis cis
c4 co coo cih cis 1
}
2009/9/25 Hans Aberg <hab...@math.su.se>
> On 25 Sep 2009, at 14:44, Graham Breed wrote:
>
> what I don't understand:
>>> How many cents are an alteration of 10/1023?
>>>
>>
>> It's a fraction of 200 cents. So 200 * 10/1023 = 2000/1023 = 1.955...
>> cents, which looks like a schisma.
>>
>
> From my computations, it corresponds choosing an approximation in E12276
> (tonestep 7181) of the interval ratio (3/2) which gives an accuracy of
> -3.33477112590685e-05 cents. How did you choose this?
>
> It might be more natural to choose from the series of successive continued
> fraction convergents of log2(3/2):
> 0/1, 1/1, 1/2, 3/5, 7/12, 24/41, 31/53, 179/306, 389/665, 9126/15601, ...
> Or E12, E41, E53, E306, E665, E15601, ...
>
> E665 is less acurate that your choice, but within 0.000113647342336876
> cents; E15601 is better: -2.01904306607048e-06 cents. E306 is good, too:
> -0.00578344833810363 cents.
>
> Hans
>
>
>
>
>
stefansMikrotoene.ly
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