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131072/130977?

🔗Danny Wier <dawiertx@sbcglobal.net>

8/22/2003 3:17:32 PM

Note my new e-mail address: dawiertx+sbcglobal.net
(replace + with @, of course).

Since an undecimal comma, 33/32, is very close to two
septimal commas, I think the interval 131072/130977
needs a name if it doesn't have one already. It's not
listed in Scala. I'm thinking "undecimal schisma", or
"7-11 schisma". It measures out to about 1.2552 cents.

Also, I've noticed two intervals known as Beta in the
Scala archive: Beta 2 and Beta 5, the former being the
septimal schisma. Are there other Beta intervals, like
Beta 1, Beta 3, etc.?

🔗Paul Erlich <perlich@aya.yale.edu>

8/22/2003 3:43:41 PM

--- In tuning@yahoogroups.com, Danny Wier <dawiertx@s...> wrote:
> Note my new e-mail address: dawiertx+sbcglobal.net
> (replace + with @, of course).
>
> Since an undecimal comma, 33/32, is very close to two
> septimal commas, I think the interval 131072/130977
> needs a name if it doesn't have one already. It's not
> listed in Scala. I'm thinking "undecimal schisma", or
> "7-11 schisma". It measures out to about 1.2552 cents.

also with prime limit 11 and with about this level of complexity,
there are

160083/160000 = 0.8978 cents
200704/200475 = 1.9764 cents
41503/41472 = 1.2936 cents
496125/495616 = 1.7771 cents
43923/43904 = 0.7491 cents
180224/180075 = 1.4319 cents
151263/151250 = 0.1488 cents

simpler, of course, is the "kalisma" 9801/9800 or 0.1766 cents. where
does this name derive from? kali? a kalimba?

🔗Gene Ward Smith <gwsmith@svpal.org>

8/22/2003 3:48:34 PM

--- In tuning@yahoogroups.com, "Paul Erlich" <perlich@a...> wrote:
> --- In tuning@yahoogroups.com, Danny Wier <dawiertx@s...> wrote:
> > Note my new e-mail address: dawiertx+sbcglobal.net
> > (replace + with @, of course).
> >
> > Since an undecimal comma, 33/32, is very close to two
> > septimal commas, I think the interval 131072/130977
> > needs a name if it doesn't have one already. It's not
> > listed in Scala. I'm thinking "undecimal schisma", or
> > "7-11 schisma". It measures out to about 1.2552 cents.
>
> also with prime limit 11 and with about this level of complexity,
> there are
>
> 160083/160000 = 0.8978 cents
> 200704/200475 = 1.9764 cents
> 41503/41472 = 1.2936 cents
> 496125/495616 = 1.7771 cents
> 43923/43904 = 0.7491 cents
> 180224/180075 = 1.4319 cents
> 151263/151250 = 0.1488 cents

We haven't finished naming the 7-limit commas as yet.

🔗Danny Wier <dawiertx@sbcglobal.net>

8/23/2003 6:59:19 AM

--- Paul Erlich <perlich@aya.yale.edu> wrote:

> simpler, of course, is the "kalisma" 9801/9800 or
> 0.1766 cents. where
> does this name derive from? kali? a kalimba?

My guess is that it's from Greek _kalos, -e, -on_
"beautiful, good", but that's just a guess.