> From: <graham@microtonal.co.uk>

> To: <tuning-math@yahoogroups.com>

> Sent: Thursday, May 16, 2002 4:04 AM

> Subject: [tuning-math] Re: graham's linear temperament page

>

>

> In-Reply-To: <000f01c1fca0$7d449ca0$af48620c@dsl.att.net>

> monz wrote:

>

>

> > NOW -- regarding "equivalence interval" and "periodicity interval",

> > you'll all see that i provided links to definitions for those two

> > terms, but still don't have any content in them. that's because

> > i'm *still* not clear on how to define them. can someone(s)

> > *please* post simply a definition for each of them which i can

> > put into those Dictionary entries. if others disagree, then

> > i'll try to keep updating the webpages the way i've done with

> > "linear temperament" -- but please give me something to start with.

>

> Dave gave some, and I didn't notice anybody disagreeing. The only quibble

> I have is that the period definition uses the terminology differently to

> the linear temperament one. And that it's circular, but that's probably

> unavoidable.

>

> <Dave's definitions snipped -- look in the Dictionary!>

thanks much, Graham! actually, i saw both of those the other day

(in fact, i think Dave posted them in response to my own query),

but as i've been keeping my distance from the tuning lists, i already

lost track of them. the definitions have been updated:

http://www.ixpres.com/interval/dict/periodicityinterval.htm

http://www.ixpres.com/interval/dict/equivalenceinterval.htm

now, doesn't the "planar temperament" definition also need to

be fixed to say "periodicity interval" instead of "equivalence

interval"?

http://www.ixpres.com/interval/dict/planartemp.htm

-monz

In-Reply-To: <000b01c1fcee$75f9b680$af48620c@dsl.att.net>

monz wrote:

> now, doesn't the "planar temperament" definition also need to

> be fixed to say "periodicity interval" instead of "equivalence

> interval"?

>

> http://www.ixpres.com/interval/dict/planartemp.htm

What? Yes, they're like linear temperaments but with one extra generator.

And you could also say that the process can be extended to any number of

generators (however you count them). Hopefully, anybody doing this will

mention "planar temperament" somewhere.

Graham