ET- Expanded Temperament..kinda long.

Billbrpt@AOL.COM Billbrpt@AOL.COM
Mon, 1 Oct 2001 09:25:00 EDT


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In a message dated 10/1/01 8:14:27 AM Central Daylight Time, 
tito@PhilBondi.com (Phil Bondi) writes:


> > <|it's the G#3-C4 third..that tends to be fast if I have a 'mistake'
> > somewhere |
> >
> > Not to  nit pick but there should be an agreed on format for naming
> > intervals.
> 
> ..yes..I actually thought about that one for a moment before I wrote it..I
> am use to naming the black keys in flats, not sharps. But since working with
> and learning piano technology, it is more common to call the black keys in
> .

We all know that the black and white keys are *enharmonic*.  That is, they 
represent both a sharp and a flat.  However, Ab-C is a 3rd and G#-C is the 
uncommonly thought of *diminished* 4th.  The way to avoid confusion when 
writing about intervals is to simply list them both.

For example, the note G#3 may have been tuned from C#4 to create a 4th.  It 
now also creates a 3rd from C4.  One may want to test contiguous 3rds at this 
point.  Here is how I would suggest writing the instructions in such an 
instance:

Tune G#3 from C#4, a widened tempered 4th.  Now test the contiguous 3rds 
Ab3(G#3)-C4 and C4-E4.

Bill Bremmer RPT
Madison, Wisconsin

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