Yahoo Tuning Groups Ultimate Backup tuning Re: [tuning] Re: finally, I get it "circle" vs. "chain" for us "squares" Open/closed

The solution seems to be to call it an "open" or "closed" chain.

i.e. "open" to tow your car; "closed" to peddle your bike.

Sorry about the metaphor, someone just demolished my car in a narrow London street; so it's on my bike until I buy a new one: on Monday?

dkeenanuqnetau wrote:

>--- In tuning@y..., "clumma" <carl@l...> wrote:
>
>>Dave Keenan wrote...
>>
>>>What does Erv Wilson call them?
>>>
>>"Linear".
>>
>
>Carl and Guiseppi, I'm sorry my question wasn't clear. I know Erv >calls them linear temperaments. I wouldn't suggest changing that. >
>My question was, does Erv Wilson use any word other than "chain" in, >for example, "The common diatonic scale can be considered as a <chain> >of six meantone-fifth generators." >
>The problem is, as the title of this thread suggests, that some folk >tend to think that a "chain" is necessarily looped, like a bicycle >chain.
>
>
>You do not need web access to participate. You may subscribe through
>email. Send an empty email to one of these addresses:
> tuning-subscribe@yahoogroups.com - join the tuning group.
> tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning group.
> tuning-nomail@yahoogroups.com - put your email message delivery on hold for the tuning group.
> tuning-digest@yahoogroups.com - change your subscription to daily digest mode.
> tuning-normal@yahoogroups.com - change your subscription to individual emails.
> tuning-help@yahoogroups.com - receive general help information.
> >
>Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ >
>

--
~====================================================~
Charles Lucy - lucy@harmonics.com (LucyScaleDevelopments)
------------ Promoting global harmony through LucyTuning -------
for information on LucyTuning go to http://www.harmonics.com/lucy/
or Lucytuned Lullabies go to
http://www.lucytune.com or http://www.lucytune.co.uk or http://www.lullabies.co.uk

The interesting thing about whether or not a chain is closed, is that some chains will close after a very large number of steps, which is not immediately apparent.
It could be argued that all "rational" chains will eventually close.

If of course you use pi as the generator of your tuning system it will never close.
(Unless some genius discovers that pi is no longer irrational or transcendental).

BTW Is pi the same number in all possible unverses? ;-)

dkeenanuqnetau wrote:

>--- In tuning@y..., Charles Lucy <lucy@h...> wrote:
>
>>The solution seems to be to call it an "open" or "closed" chain.
>>
>
>A fine solution. Except I'll use "open chain" vs. "cycle".
>
>
>
>You do not need web access to participate. You may subscribe through
>email. Send an empty email to one of these addresses:
> tuning-subscribe@yahoogroups.com - join the tuning group.
> tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning group.
> tuning-nomail@yahoogroups.com - put your email message delivery on hold for the tuning group.
> tuning-digest@yahoogroups.com - change your subscription to daily digest mode.
> tuning-normal@yahoogroups.com - change your subscription to individual emails.
> tuning-help@yahoogroups.com - receive general help information.
> >
>Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ >
>

Re: [tuning] Re: finally, I get it "circle" vs. "chain" for us "squares" Open/closed

🔗Charles Lucy <lucy@harmonics.com>

🔗dkeenanuqnetau <d.keenan@uq.net.au>

🔗Charles Lucy <lucy@harmonics.com>

🔗genewardsmith <genewardsmith@juno.com>