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Bill,
Thanks for continuing to restate and improve your directions. I've been =
trying to follow along and learn EBVT, and decide whether or not I like =
how it sounds. Currently undecided, most likely due to not getting it =
right. Anyway, I'm looking forward to the next installment: "detailed =
notes and explanations for each step"; please try to include tests and =
troubleshooting, for example "if the A#-D# 4th and G#-D# 5th beat too =
fast, then..... ".=20
In past posts, you've referred to "reverse well temperament, the most =
common error made by aural tuners attempting equal temperament"? What =
is reverse well? How can I watch out for, and avoid or correct it as =
I'm setting an equal temperament?
Background: Only a couple years tuning experience, maybe 300 tunings, =
Randy Potter graduate, but use RCT when I can't afford errors or extra =
time, which is most of the time. (I do floor work for one dealer who =
doesn't mind if I try weird stuff on his pianos, so the aural ET and =
EBVT happens at his place and at home). I'll be taking the tuning exam =
at Reno.
thanks,
Mike Spalding
----- Original Message -----=20
From: Billbrpt@AOL.COM=20
To: pianotech@ptg.org=20
Sent: Sunday, June 03, 2001 1:56 PM
Subject: New Bearing Plan for EBVT
List,=20
After taking note of comments from other technicians who have tried to =
tune=20
the EBVT, the following is a new approach to tuning it. It does not =
change=20
the basic results of what I've always done, it hopefully only makes =
the idea=20
easier to understand and follow. Later on, I will write a page or two =
of=20
detailed notes and explanations for each step.=20
This simple bearing plan does not describe how to test intervals or =
how to=20
adjust for inharmonicity. I invite all questions and comments which =
will=20
help contribute to the detailed notes pages. =20
Happy EBVT tuning!=20
Bill Bremmer RPT=20
Madison, Wisconsin=20
=20
New Temperament Sequence (Bearing Plan) for the=20
Equal Beating Victorian Temperament (EBVT)=20
1. Tune A4 to A-440 pitch source.=20
2. Tune A3 to A4, stretching the octave to a a 6:3 type.=20
3. Temper F3 from A3, a wide 3rd, estimating it to beat at 6 per =
second,=20
just slightly slower than it would be in Equal Temperament (ET). =
4. Tune C4, a pure 5th from F3.=20
5. Temper E4 a wide 3rd from C4, making it also beat at 6 per second. =
(about half the speed of the same interval in ET.)=20
6. Temper G3 from E4, a wide Major 6th so that it beats exactly the =
same=20
as the F3-A3 and C4-E4 3rds. (6 beats per second).=20
7. Temper D4 from both G3 and A3 so that both the G3-D4 5th and the=20
A3-D4 4th beat at exactly the same mild rate. (Each one just =
slightly=20
more tempered than in ET).=20
8. Temper B3 from G3, a wide Major 3rd so that it beats exactly the =
same=20
as the F3-A3, C4-E4 and G3-B3 3rds and the G3-E4 6th. =
(Approximately=20
6 beats per second). Now, the F3-D4 6th may also beat at 6 per =
second.=20
9. Tune F4 a pure 4th from C4. This will make a pure sounding 4:2 =
octave=20
from F3-F4.=20
10. Tune Bb3 a pure 5th from F4. =20
11. Listen to the resultant 3rd, Bb3(A#3)-D4. Temper C#4 from A3 so =
that=20
the A3-C#4 3rd beats exactly the same as the Bb3(A#3)-D4 3rd.=20
12. Tune F#3 a pure 5th from C#4. =20
13. Tune G#3 a pure 4th from C#4. =20
14. Temper D#4 from both G#3 and A#3 so that both the G#3-D#4 5th=20
and the A#3-D#4 4th beat exactly the same as each other (slightly =
less tempered than in ET or nearly pure). =20
15. When expanding the octaves do so in a manner which will cause the=20
2nd inversion major triads of C, G, D, A, E, & B to have the 3rd & =
6th=20
beat exactly the same. The octave should be stretched enough so =
that=20
there is a very slight beat in the single octave (approximately 1/2 =
beat per second) and that the tempered 5th will beat slower than =
the=20
4th. When both the 4th and the 5th were pure in the temperament, =
the=20
octave will naturally be stretched a little less than an octave=20
whose 4th and 5th are tempered.=20
16. When expanding the outer octaves, try to reconcile the double =
octave=20
and the octave and a 5th (12th) so that the double octave and the =
12th=20
beat exactly the same. (A very slight beat, almost inaudible). This =
will naturally result in octaves which vary slightly in size up and =
down the keyboard. These will quite effectively be "tempered=20
octaves".=20
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