<HTML><FONT FACE=arial,helvetica><FONT SIZE=2>List,
<BR>
<BR>After taking note of comments from other technicians who have tried to tune
<BR>the EBVT, the following is a new approach to tuning it. It does not change
<BR>the basic results of what I've always done, it hopefully only makes the idea
<BR>easier to understand and follow. Later on, I will write a page or two of
<BR>detailed notes and explanations for each step.
<BR>
<BR>This simple bearing plan does not describe how to test intervals or how to
<BR>adjust for inharmonicity. I invite all questions and comments which will
<BR>help contribute to the detailed notes pages.
<BR>
<BR>Happy EBVT tuning!
<BR>
<BR>Bill Bremmer RPT
<BR>Madison, Wisconsin
<BR>
<BR>
<BR> New Temperament Sequence (Bearing Plan) for the
<BR> Equal Beating Victorian Temperament (EBVT)
<BR>
<BR>1. Tune A4 to A-440 pitch source.
<BR>2. Tune A3 to A4, stretching the octave to a a 6:3 type.
<BR>3. Temper F3 from A3, a wide 3rd, estimating it to beat at 6 per second,
<BR> just slightly slower than it would be in Equal Temperament (ET).
<BR>4. Tune C4, a pure 5th from F3.
<BR>5. Temper E4 a wide 3rd from C4, making it also beat at 6 per second.
<BR> (about half the speed of the same interval in ET.)
<BR>6. Temper G3 from E4, a wide Major 6th so that it beats exactly the same
<BR> as the F3-A3 and C4-E4 3rds. (6 beats per second).
<BR>7. Temper D4 from both G3 and A3 so that both the G3-D4 5th and the
<BR> A3-D4 4th beat at exactly the same mild rate. (Each one just slightly
<BR> more tempered than in ET).
<BR>8. Temper B3 from G3, a wide Major 3rd so that it beats exactly the same
<BR> as the F3-A3, C4-E4 and G3-B3 3rds and the G3-E4 6th. (Approximately
<BR> 6 beats per second). Now, the F3-D4 6th may also beat at 6 per second.
<BR>9. Tune F4 a pure 4th from C4. This will make a pure sounding 4:2 octave
<BR> from F3-F4.
<BR>10. Tune Bb3 a pure 5th from F4.
<BR>11. Listen to the resultant 3rd, Bb3(A#3)-D4. Temper C#4 from A3 so that
<BR> the A3-C#4 3rd beats exactly the same as the Bb3(A#3)-D4 3rd.
<BR>12. Tune F#3 a pure 5th from C#4.
<BR>13. Tune G#3 a pure 4th from C#4.
<BR>14. Temper D#4 from both G#3 and A#3 so that both the G#3-D#4 5th
<BR> and the A#3-D#4 4th beat exactly the same as each other (slightly
<BR> less tempered than in ET or nearly pure).
<BR>15. When expanding the octaves do so in a manner which will cause the
<BR> 2nd inversion major triads of C, G, D, A, E, & B to have the 3rd & 6th
<BR> beat exactly the same. The octave should be stretched enough so that
<BR> there is a very slight beat in the single octave (approximately 1/2
<BR> beat per second) and that the tempered 5th will beat slower than the
<BR> 4th. When both the 4th and the 5th were pure in the temperament, the
<BR> octave will naturally be stretched a little less than an octave
<BR> whose 4th and 5th are tempered.
<BR>16. When expanding the outer octaves, try to reconcile the double octave
<BR> and the octave and a 5th (12th) so that the double octave and the 12th
<BR> beat exactly the same. (A very slight beat, almost inaudible). This
<BR> will naturally result in octaves which vary slightly in size up and
<BR> down the keyboard. These will quite effectively be "tempered
<BR> octaves".
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