Hermite comma sequence

Hey Gene,

Here
http://lumma.org/tuning/gws/commaseq.htm
you say,
"Sometimes this definition of the comma sequence causes problems,
leading to situations where the family relationships are not
defined; a way around those problems, though often with less
elegant looking commas, is the Hermite comma sequence."

Can you give an example of Tenney comma sequences leading to
undefined family relationships? Given that the wiki only mentions
Hermite sequences, I assume you found that such situations
crop up often (?)

thanks,

-Carl

Gene?

At 03:03 AM 12/21/2011, you wrote:
>Hey Gene,
>
>Here
> http://lumma.org/tuning/gws/commaseq.htm
>you say,
>"Sometimes this definition of the comma sequence causes problems,
>leading to situations where the family relationships are not
>defined; a way around those problems, though often with less
>elegant looking commas, is the Hermite comma sequence."
>
>Can you give an example of Tenney comma sequences leading to
>undefined family relationships? Given that the wiki only mentions
>Hermite sequences, I assume you found that such situations
>crop up often (?)
>
>thanks,
>
>-Carl

--- In tuning-math@yahoogroups.com, Carl Lumma <carl@...> wrote:
>
> Gene?

I looked a little for some examples, but didn't find any, sorry.

Gene wrote:

>I looked a little for some examples, but didn't find any, sorry.

Thanks. Well, I'm going to try to dig into this at some point
over the next few weeks, so if any come to mind let me know.
On your old xenharmony pages you suggested the Hermite sequence
as an alternative to Tenney-reduced sequences in case of trouble.
But on the xenwiki it seems Hermite sequences are the order of
the day, as Tenney-reduced sequences aren't even mentioned.
The ugly commas of the Hermite sequences are a dear price to
solve a problem of unknown severity.

-Carl