[sdiy] Samchillian Anyone?

[cheater cheater]

Hi Tom,
a prime number is coprime with any other whole number.

> thus resulting in a finite semigroup

I think what you mean is that the subring generated is equal to the
ring you are working in, i.e. it is not a proper subring. After all,
any ring Z/nZ of modulo numbers is finite.

Cheers,
D.

On Sun, Oct 10, 2010 at 17:55, Thomas Strathmann <thomas at pdp7.org> wrote:
> On 10/10/10 17:06 , Scott Nordlund wrote:
>>
>> I'd posted a little about this before in context of algorithmic music.
>> You can generate interesting melodies and chord progressions from a
>> repeating sequence of increments, I think it's conceptually somewhere
>> between circle of fifths and serialism.  It works better for different
>> scales (i.e. 19 TET) since you'll only iterate through the entire
>> 12 TET chromatic scale if the total sequence transposes by either 1,
>> 5, 7 or 11 semitones, where as 19 TET can make a "circle of anything"
>> since it's prime.  I've done this manually but it's very tedious.
>
> So you basically say that the increments and the number of semitones must be
> coprime unless the number of semitones is a prime number, thus resulting in
> a finite semigroup or what do you mean by "circle of anything"?
>
>        Thomas
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