[seqfan] Re: YouTube videos for Recaman and Stern Diatomic

Dale Gerdemann dale.gerdemann at googlemail.com
Sun Aug 28 15:08:00 CEST 2011

Hi Robert,

Thanks for your advice, I've tried to follow it in two new videos:


BTW: I've offered to start an open source project to make such videos
(using Java). But I need to know if anyone is interested before I
start such a thing.

Dale Gerdemann

On Wed, Aug 24, 2011 at 6:19 AM, Robert Munafo <mrob27 at gmail.com> wrote:
> All in all it's good because you've dealt with the problem of how to express
> a wide range of numbers by ensuring that the highest not is essentially the
> logarithm of the value of the number being played. The normal OEIS music
> function has to artificially wrap around (by default using a pitch modulus
> of 88)
> I would prefer if the integer portion is expressed in Fibonacci base
> (AKA Fibbinary , see A003714) with an extra bit for the sign, and the
> fractional part (if any) in phinary. That way if the sequence is all
> integers, the bit string grows in only one direction, like normal base-2
> numbers. Also, phinary doesn't have a very obvious conversion algorithm but
> Fibbinary does.
> Also, it seems like you're using a lot of different instruments, which is
> okay, but I think the pitch and/or timbre correspondence should be more
> monotonic, with higher/louder sounds for more significant digits.
>  That is, for every n and m where n>m, the note generated by phi^n should
> be higher in pitch and/or "louder" than the note generated by phi^m. Small
> fractions like phi^-27 should be really low bass notes, going off the bottom
> of hearing range as the fractions get even smaller.
> On Sun, Aug 21, 2011 at 07:00, Dale Gerdemann <dale.gerdemann at googlemail.com
>> wrote:
>> Hello all,
>> I've made a couple of new videos which I hope will be of interest to
>> seqfans. First, I made a musical version of the Recaman sequence
>> (http://www.youtube.com/watch?v=h3qEigSSuF0). I love the use of this
>> sequence in the OEIS movie. But I've played it in a very different
>> way, which sounds quite different and which I would hope might provide
>> some insight into properties of the sequence. The second video is for
>> the Stern Diatomic (http://www.youtube.com/watch?v=ecaBo3gcFco), which
>> turns out to sound somewhat like the Recaman sequence.
>> I'd be interested to hear any comments.
>> Dale Gerdemann
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>  Robert Munafo  --  mrob.com
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