A correct string tension equation without a M/u.l. variable

Dear Ozan,

OK, have it your way.

A correct string tension equation without a M/u.l. variable, i.e.,
without a diameter or radius variable, states:

T = 4 * F^2 * L * M

where M is the total mass of the string,
which may be determine by simply
weighing the string on a scale.

Cris Forster, Music Director
www.Chrysalis-Foundation.org

Dear Cris,

----- Original Message -----
From: Cris Forster
To: Moderator
Sent: 15 Mayıs 2005 Pazar 3:20
Subject: [tuning] A correct string tension equation without a M/u.l. variable

Dear Ozan,

OK, have it your way.

A correct string tension equation without a M/u.l. variable, i.e.,
without a diameter or radius variable, states:

T = 4 * F^2 * L * M

where M is the total mass of the string,
which may be determine by simply
weighing the string on a scale.

Cris Forster, Music Director
www.Chrysalis-Foundation.org

And which, as I have diligently tried to show many times, is completely, directly and irrevocably related to the diameter variable once the density of the material is determined (unexceptionally and inevitably in both our respective approaches).

Knowing only the density and the mass per unit lenght of the string, I can derive the diameter from this relationship:

Pi * D^2 * Rho
M= ___________

4

which is apparently so vital for you in understanding the tension, and which, in all eventuality, would not at all be different from the D in your expression: T = F^2 * L^2 * D^2 * Pi * Rho

It's not as if this formula (or W = 4 (L^2) * (F^2) * M for that matter) includes any new information as to how thick or from what material a string should be manufactured to attain the best timbre and harmonics, nor does it contain any clue whatsoever as to when a tense chord will snap or when a loose chord will start sounding awful.

So, once again, and for the final time I hope, the tension equation I gave is identical in every way with the tension equation you gave, since the diameter you so wish to specify can be derived straightaway from the relationship provided above (M= Pi * D^2 * Rho / 4).

I'm not having my way here, its plain simple physics for goodness' sake. I don't know why you keep resisting against understanding the basic relationship here.

Cordially,
Ozan