RE: [tuning-math] Digest Number 1236

Gene,

Seems you _do_ use "tuning" to mean an instance of a
"temperament". The way I used "temperament" in my
description equates to one specific "tuning" in your sense.
The way you use "temperament" equates to a class of
"temperament"s in my sense, or of "tuning"s in your sense.

From your usage, it follows that a temperament does not
completely determine a tuning nor, hence, a scale.

Is Werckmeister a well-temperament, or a well-tuning?

---

I've read the page you linked to, but don't feel any the
wiser. I'll reread it later and make sure to draw some
pictures of examples so I can see what it's saying ... :-)

Regards,
Yahya

-----Original Message-----
________________________________________________________________________
Date: Thu, 17 Mar 2005 06:26:02 -0000
From: "Gene Ward Smith" <gwsmith@svpal.org>
Subject: Re: Digest Number 1235

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
> >Gene,
> >
> >OK, so the difference betwen a tuning and a temperament
> >is clear to you. Not to me!
>
> It isn't to me either. I think I understand the difference
> between temperaments and scales, but I have no idea what
> a "tuning" is. Gene, is this defined on xenharmony.org
> somewhere?

In what is probably not an easily digestible form:

http://66.98.148.43/~xenharmo/regular.html

Meantone is a temperament. 1/4-comma meantone, 2/7-comma meantone,
7/26-comma meantone or Lucy meantone would be tunings of the
temperament. So would 12, 19, 31 or 50 equal, but they collapse it
down to rank 1.

________________________________________________________________________

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Sorry, hit "Send" too soon!

I've changed the Subject line for clarity.

Yahya

-----Original Message-----
From: Yahya Abdal-Aziz
Sent: Friday 18 March 2005 15:00 pm
To: tuning-math
Subject: RE: [tuning-math] Digest Number 1236

Gene,

Seems you _do_ use "tuning" to mean an instance of a
"temperament". The way I used "temperament" in my
description equates to one specific "tuning" in your sense.
The way you use "temperament" equates to a class of
"temperament"s in my sense, or of "tuning"s in your sense.

From your usage, it follows that a temperament does not
completely determine a tuning nor, hence, a scale.

Is Werckmeister a well-temperament, or a well-tuning?

---

I've read the page you linked to, but don't feel any the
wiser. I'll reread it later and make sure to draw some
pictures of examples so I can see what it's saying ... :-)

Regards,
Yahya

-----Original Message-----
________________________________________________________________________
Date: Thu, 17 Mar 2005 06:26:02 -0000
From: "Gene Ward Smith" <gwsmith@svpal.org>
Subject: Re: Digest Number 1235

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
> >Gene,
> >
> >OK, so the difference betwen a tuning and a temperament
> >is clear to you. Not to me!
>
> It isn't to me either. I think I understand the difference
> between temperaments and scales, but I have no idea what
> a "tuning" is. Gene, is this defined on xenharmony.org
> somewhere?

In what is probably not an easily digestible form:

http://66.98.148.43/~xenharmo/regular.html

Meantone is a temperament. 1/4-comma meantone, 2/7-comma meantone,
7/26-comma meantone or Lucy meantone would be tunings of the
temperament. So would 12, 19, 31 or 50 equal, but they collapse it
down to rank 1.

________________________________________________________________________

--
No virus found in this outgoing message.
Checked by AVG Anti-Virus.
Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 15/3/05