Re: [tuning] Re: The 80 revolution

Does this mean that I have finally come up with something worthwhile?
----- Original Message -----
From: Gene Ward Smith
To: tuning@yahoogroups.com
Sent: 13 Mart 2005 Pazar 5:44
Subject: [tuning] Re: The 80 revolution

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
>
> When George Secor and Margo Schulter were talking about the "17
> revolution", did they discuss a fifth a little nearer to true,
namely
> the 80-equal fifth of 705 cents, or perhaps just slightly flatter,
> around 704.96 cents, from the point of view of no-fives harmony and
> temperaments involving chains of fifths? This came up in connection
> to a scale Ozan Yarman has been considering.

The Blackwood R for an equal temperament with val h is
h(9/8)/h(256/243). For 80, this is 14/5, or 2.8, for 63, it is 11/4,
or 2.75. These are therefore a little sharper than Margo's e-system
of 2.718281828..., and sharper, or on the very edge, of her "gentle"
region for neo-Gothic. It seems like a pretty good neo-Gothic region,
but it doesn't seem to have gotten much attention, if any. Ozan
Yarman's scale suggests some people might like it. Ozan's scale is,
basically, the 12 note MOS using the fifths of 80-equal; the 17-note
MOS is an attractive alternative.