octave widths

jason kanter jkanter@rollingball.com
Fri, 16 Apr 2004 11:20:02 -0700


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The partials of C1 are C1,C2,G2,C3,E3,G3,[Bb3],C4...
The partials of C2 are C2,C3,G3,C4,E4,G4,[Bb4],C5...
A 2:1 octave would match the C2 frequency of the two strings.
A 4:2 octave would match the C3 frequency of the two strings.
A 6:3 octave would match the G3 frequency.

You can also set up tuning parameters for other matches such as 4:1, =
3:2, 8:1, etc.=20

The selection is somewhat a matter of taste. The general pattern seems =
to be 6:3 in the bass to 4:2 in the treble. I am experimenting with 8:1 =
octaves in both bass and treble, and find it very sweet. I use Tunelab =
and don't know if Verituner has an 8:1 setting.=20

Jason
  ----- Original Message -----=20
  From: pbmosley=20
  To: pianotech@ptg.org=20
  Sent: Friday, April 16, 2004 7:12 AM
  Subject: octave widths


  I have been using a verituner, and sometimes struggle with octave =
widths.  I am trying to use the partial list that the machine gives me =
to determine the best octave widths.  What are the mathematical =
principles I need to calculate the widths.  I have a list of all 8 =
partials, how would I determine from those numbers what the width of a =
2:1 octave would be if I tuned to the 4:2 numbers, or 6:3.  Looking at =
the numbers can I determine what the best stretch for any individual =
piano from these numbers?  I guess I am trying to get beat speeds from =
cents measurements and understanding their relationship quickly before =
each tuning.
  Phil Mosley
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