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🔗Robin Perry <jinto83@yahoo.com>

1/13/2007 1:12:33 AM
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ms works spreadsheet
scala file


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🔗Robin Perry <jinto83@yahoo.com>

1/13/2007 1:30:20 AM

Oh well... I guess the spreadsheet won't attach to the message
correctly..

Anyway.. here's the gist of it:

It's a tuning based on a simple series of 27 just 3/2's. The
fretboard has 12 straight across frets to the octave. It's tuned in
a narrow piano chord fashion to: 1/1, 5/4, 3/2, 7/4, 21/10, 21/16.
The spacing from the nut follows: (90c, 114c, 90c, 114c, 90c);
repeat to 15th fret.

I call it the JustAbout2 fretboard. I have not yet built it, but am
soon underway on the project. I had been looking for a way to do the
type of chord progression I used in the tune, 'calling you,' which
was posted to this group a short time ago, and this one works.

The fifths are all perfect. The major third is 2c flat; the minor 2c
sharp. The dominant seventh is 3c sharp.

If this concept has been put forth by someone else here at an earlier
date, I do apologize for not knowing about it.

If anyone wants a copy of the ms works spreadsheet that illustrates
the fretboard and arrangement of tones, please email me directly.

OH.. and thanks to Paul Erlich for making me think about something
other than equal temperaments.

Cheers,

Robin

--- In tuning@yahoogroups.com, Robin Perry <jinto83@...> wrote:
>
> ms works spreadsheet
> scala file
>
> ! A:\JustAboutfretboard.scl
> !
> FRETBOARD
> 27
> !
> 66.00000
> 90.00000
> 114.00000
> 180.00000
> 204.00000
> 270.00000
> 294.00000
> 318.00000
> 384.00000
> 408.00000
> 474.00000
> 498.00000
> 588.00000
> 612.00000
> 678.00000
> 702.00000
> 768.00000
> 792.00000
> 816.00000
> 882.00000
> 906.00000
> 972.00000
> 996.00000
> 1086.00000
> 1110.00000
> 1176.00000
> 1200.00000
>

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

1/13/2007 2:39:15 PM

--- In tuning@yahoogroups.com, "Robin Perry" <jinto83@...> wrote:

> The fifths are all perfect. The major third is 2c flat; the minor 2c
> sharp. The dominant seventh is 3c sharp.
>
> If this concept has been put forth by someone else here at an earlier
> date, I do apologize for not knowing about it.

Assuming you mean the 7 by "dominant seventh", then it is easy to see
that you've described the garibaldi temperament in its pure fifths, or
Pythagorean, tuning. This uses 5/4 flattened by 32805/32768 and 7/4
sharpened by 33554432/33480783. Using 53-et detunes the fifths
slightly, but if you want the septimal harmony it might be better to
sharpen the fifth slightly; 94-et is a highly recommendable tuning for
garibaldi temperament, having fifths 1/6 of a cent wide.

🔗Robin Perry <jinto83@yahoo.com>

1/13/2007 4:35:09 PM

Thanks, Gene, I'll have a look.

Robin

--- In tuning@yahoogroups.com, "Gene Ward Smith" <genewardsmith@...>
wrote:
>
> --- In tuning@yahoogroups.com, "Robin Perry" <jinto83@> wrote:
>
> > The fifths are all perfect. The major third is 2c flat; the
minor 2c
> > sharp. The dominant seventh is 3c sharp.
> >
> > If this concept has been put forth by someone else here at an
earlier
> > date, I do apologize for not knowing about it.
>
> Assuming you mean the 7 by "dominant seventh", then it is easy to
see
> that you've described the garibaldi temperament in its pure fifths,
or
> Pythagorean, tuning. This uses 5/4 flattened by 32805/32768 and 7/4
> sharpened by 33554432/33480783. Using 53-et detunes the fifths
> slightly, but if you want the septimal harmony it might be better
to
> sharpen the fifth slightly; 94-et is a highly recommendable tuning
for
> garibaldi temperament, having fifths 1/6 of a cent wide.
>