everything I know about temperment, meantone, etc...

Hello everyone

I have written up everything I have learned in the past couple
years on temperments. There is lots on harmonics and
conditions to close the spiral of 5ths, acoustic landmarks,
and what I hope are some clever original diagrams.

http://home.austin.rr.com/jmjensen/TEMPER/Temperment.html

1. I hope you enjoy it
2. I hope you will help me flush out any errors.

thanks,
Jeff

P.S. I also have a bunch of stuff, including a graphical
applet to calculate and display virtual pitch, which I hope
to release very shortly. As always, its all open source.

--- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...> wrote:
>
> Hello everyone
>
> I have written up everything I have learned in the past couple
> years on temperments.

Hi Jeff,

It looks like you could benefit from reading my new paper, which
concerns temperament. I think it could both broaden your scope and
deepen your understanding. If I haven't sent it to you yet, would you
write me off-list with your snail-mail address?

Best,
Paul

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
>
> --- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...>
wrote:
> >
> > Hello everyone
> >
> > I have written up everything I have learned in the past couple
> > years on temperments.
>
> Hi Jeff,
>
> It looks like you could benefit from reading my new paper, which
> concerns temperament. I think it could both broaden your scope and
> deepen your understanding. If I haven't sent it to you yet, would
you
> write me off-list with your snail-mail address?
>
> Best,
> Paul

Hi Paul

I have written an email to you, but I thought I would respond here
also. Doubtlessly I could benefit from reading your new paper,
and I would like to. On the other hand, I still haven't finished
"Tuning, TOnality and 22-Tone equal Temperment" yet! It was
confusing passages in that paper that (partly) led me to
try to develop temperment ideas in a way that seemed to best
make sense to my way of thinking (pretty much a straight lineage
from Helmholtz).

Personally, I think that for the maximal exchange of information,
I would wish for you, and others, to make comments about what
I have done so far, rather than come from a completely different
frame of reference.

--Jeff
P.S. Evidently that new worm/virus/whatever is making a mess
with my internet service provider and the web server hosting
my online paper today...

--- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...> wrote:

> Personally, I think that for the maximal exchange of information,
> I would wish for you, and others, to make comments about what
> I have done so far, rather than come from a completely different
> frame of reference.

1) It's spelled "Temperament", not "temperment". :)

2) Temperaments, including 12-tone equal temperament and meantone,
can be derived from JI by positing certain equivalencies between
ratios, resulting in tuning systems less complex than JI. The paper
that I will send you explains this and shows how many of the
resulting temperaments are *not* spirals of fifths. I've also been
told that the new paper is far clearer than _Tuning, Tonality, and
Twenty-Two-Tone Temperament_. So I think you should read it!

3) If you still have any confusions concerning any of my older
papers, please allow me to clear them up for you.

4) I will make comments on what you have when I get a chance. But I
feel this will be more productive/helpful after you have read my new
paper, whether you choose to modify anything on your webpage because
of it or not. At least you'll have a better sense of where I'm coming
from with my (forthcoming) comments!

Until later,
Paul

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
>
> --- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...>
wrote:
>
> > Personally, I think that for the maximal exchange of information,
> > I would wish for you, and others, to make comments about what
> > I have done so far, rather than come from a completely different
> > frame of reference.
>
> 1) It's spelled "Temperament", not "temperment". :)
>
> 2) Temperaments, including 12-tone equal temperament and meantone,
> can be derived from JI by positing certain equivalencies between
> ratios, resulting in tuning systems less complex than JI. The paper
> that I will send you explains this and shows how many of the
> resulting temperaments are *not* spirals of fifths. I've also been
> told that the new paper is far clearer than _Tuning, Tonality, and
> Twenty-Two-Tone Temperament_. So I think you should read it!
>
> 3) If you still have any confusions concerning any of my older
> papers, please allow me to clear them up for you.
>
> 4) I will make comments on what you have when I get a chance. But I
> feel this will be more productive/helpful after you have read my new
> paper, whether you choose to modify anything on your webpage because
> of it or not. At least you'll have a better sense of where I'm
coming
> from with my (forthcoming) comments!
>
> Until later,
> Paul

I think I hate this web browser; when I went to send somehow it
wiped out all my changes and just reposted the original text!
sorry

--- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...> wrote:
>
> --- In tuning@yahoogroups.com, "wallyesterpaulrus"

> > 1) It's spelled "Temperament", not "temperment". :)

Thanks, Paul. I've been spelling it that way for years!

SO the URL is now
http://home.austin.rr.com/jmjensen/TEMPER/Temperament.html

--Jeff

> http://home.austin.rr.com/jmjensen/TEMPER/Temperment.html

that's http://home.austin.rr.com/jmjensen/TEMPER/Temperament.html

--- In tuning@yahoogroups.com, "jjensen142000" <jjensen14@h...>
wrote:
>
> Hello everyone
>
> I have written up everything I have learned in the past couple
> years on temperments. There is lots on harmonics and
> conditions to close the spiral of 5ths, acoustic landmarks,
> and what I hope are some clever original diagrams.
>
> http://home.austin.rr.com/jmjensen/TEMPER/Temperment.html
>
> 1. I hope you enjoy it
> 2. I hope you will help me flush out any errors.
>
> thanks,
> Jeff
>
> P.S. I also have a bunch of stuff, including a graphical
> applet to calculate and display virtual pitch, which I hope
> to release very shortly. As always, its all open source.

--- In tuning@yahoogroups.com, "Hyperactive Quark"
<piano_maestro3000@m...> wrote:
>
>
> > http://home.austin.rr.com/jmjensen/TEMPER/Temperment.html
>
> that's http://home.austin.rr.com/jmjensen/TEMPER/Temperament.html

Yes, as I posted late last night, I have been spelling
Temperament wrong for years, but it is corrected now!

--Jeff