Yahoo Tuning Groups Ultimate Backup tuning OFFLIST Re: [tuning] Re: Hey Paul

Hi George,

I'm writing to you OFFLIST.

> ----- Original Message -----
> From: Paul Erlich <paul@stretch-music.com>
> To: <tuning@yahoogroups.com>
> Sent: Sunday, June 24, 2001 4:14 PM
> Subject: [tuning] Re: Hey Paul
>

> --- In tuning@y..., George Zelenz <ploo@m...> wrote:
> > Hey Paul,
> >
> > I know what you mean.
>
> By what? You'll have to remind me if I directed a particular comment
> toward you -- the traffic on this list is pretty heavy.

Paul is bringing up something here that describes a position
I've often found myself in when reading your terse posts.

Could you *please* quote *something* from the post you're
responding to, so that your response is in context? Thanks!

-monz
http://www.monz.org
"All roads lead to n^0"

_________________________________________________________
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🔗George Zelenz <ploo@mindspring.com>

Joe, nice to hear from you. Is n^0" a mathematical symbol for Rome? What does it mean?

Sorry i'm a math lunkhead.

Warmly,

monz wrote:

> Hi George,
>
> I'm writing to you OFFLIST.
>
> > ----- Original Message -----
> > From: Paul Erlich <paul@stretch-music.com>
> > To: <tuning@yahoogroups.com>
> > Sent: Sunday, June 24, 2001 4:14 PM
> > Subject: [tuning] Re: Hey Paul
> >
>
> > --- In tuning@y..., George Zelenz <ploo@m...> wrote:
> > > Hey Paul,
> > >
> > > I know what you mean.
> >
> > By what? You'll have to remind me if I directed a particular comment
> > toward you -- the traffic on this list is pretty heavy.
>
> Paul is bringing up something here that describes a position
> I've often found myself in when reading your terse posts.
>
> Could you *please* quote *something* from the post you're
> responding to, so that your response is in context? Thanks!
>
> -monz
> http://www.monz.org
> "All roads lead to n^0"
>
>
>
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🔗Kraig Grady <kraiggrady@anaphoria.com>

🔗George Zelenz <ploo@mindspring.com>

Thanks, i know what you meant.

Kraig Grady wrote:

> I know what you mean.
>
> monz wrote:
>
>> Hi George,
>>
>> .
>>
>
>
> -- Kraig Grady
> North American Embassy of Anaphoria island
> http://www.anaphoria.com
>
> The Wandering Medicine Show
> Wed. 8-9 KXLU 88.9 fm
>
>
>
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>
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🔗Kraig Grady <kraiggrady@anaphoria.com>

Kraig writes:
Yes and before we had no idea and now we understand what was meant

Hi!
George Zelenz wrote:

> Thanks, i know what you meant.
>
> Kraig Grady wrote:
>
>> I know what you mean.
>>
>> monz wrote:
>>
>> > Hi George,
>> >
>> > .
>> >
>>
>>
>> -- Kraig Grady
>> North American Embassy of Anaphoria island
>> http://www.anaphoria.com
>>
>> The Wandering Medicine Show
>> Wed. 8-9 KXLU 88.9 fm
>>
>>
>>
>>
>> You do not need web access to participate. You may subscribe
>> through
>> email. Send an empty email to one of these addresses:
>> tuning-subscribe@yahoogroups.com - join the tuning group.
>> tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning
>> group.
>> tuning-nomail@yahoogroups.com - put your email message delivery on
>> hold for the tuning group.
>> tuning-digest@yahoogroups.com - change your subscription to daily
>> digest mode.
>> tuning-normal@yahoogroups.com - change your subscription to
>> individual emails.
>> tuning-help@yahoogroups.com - receive general help information.
>>
>>
>> Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.
>

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

🔗George Zelenz <ploo@mindspring.com>

Exactly!

Kraig Grady wrote:

> Kraig writes:
> Yes and before we had no idea and now we understand what was meant
>
> Hi!
> George Zelenz wrote:
>
>> Thanks, i know what you meant.
>>
>> Kraig Grady wrote:
>>
>> > I know what you mean.
>> >
>> > monz wrote:
>> >
>> >> Hi George,
>> >>
>> >> .
>> >>
>> >
>> >
>> > -- Kraig Grady
>> > North American Embassy of Anaphoria island
>> > http://www.anaphoria.com
>> >
>> > The Wandering Medicine Show
>> > Wed. 8-9 KXLU 88.9 fm
>> >
>> >
>> >
>> >
>> > You do not need web access to participate. You may subscribe
>> > through
>> > email. Send an empty email to one of these addresses:
>> > tuning-subscribe@yahoogroups.com - join the tuning group.
>> > tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning
>> > group.
>> > tuning-nomail@yahoogroups.com - put your email message delivery
>> > on hold for the tuning group.
>> > tuning-digest@yahoogroups.com - change your subscription to daily
>> > digest mode.
>> > tuning-normal@yahoogroups.com - change your subscription to
>> > individual emails.
>> > tuning-help@yahoogroups.com - receive general help information.
>> >
>> >
>> > Your use of Yahoo! Groups is subject to the Yahoo! Terms of
>> > Service.
>>
>
> -- Kraig Grady
> North American Embassy of Anaphoria island
> http://www.anaphoria.com
>
> The Wandering Medicine Show
> Wed. 8-9 KXLU 88.9 fm
>
>
>
> Yahoo! Groups Sponsor
[Check out great fares at Orbitz!]

🔗Kraig Grady <kraiggrady@anaphoria.com>

Kraig Grady almost wrote
Precisely

| McLaren Wrote:
| | Complete with five MP.3s!

|||George Zelenz wrote:

> Exactly!
>
> Kraig Grady wrote:
>
>> Kraig writes:
>> Yes and before we had no idea and now we understand what was
>> meant
>>
>> Hi!
>> George Zelenz wrote:
>>
>> > Thanks, i know what you meant.
>> >
>> > Kraig Grady wrote:
>> >
>> >> I know what you mean.
>> >>
>> >> monz wrote:
>> >>
>> >> > Hi George,
>> >> >
>> >> > .
>> >> >
>> >>
>> >>
>> >> -- Kraig Grady
>> >> North American Embassy of Anaphoria island
>> >> http://www.anaphoria.com
>> >>
>> >> The Wandering Medicine Show
>> >> Wed. 8-9 KXLU 88.9 fm
>> >>
>> >>
>> >>
>> >>
>> >> You do not need web access to participate. You may subscribe
>> >> through
>> >> email. Send an empty email to one of these addresses:
>> >> tuning-subscribe@yahoogroups.com - join the tuning group.
>> >> tuning-unsubscribe@yahoogroups.com - unsubscribe from the
>> >> tuning group.
>> >> tuning-nomail@yahoogroups.com - put your email message delivery
>> >> on hold for the tuning group.
>> >> tuning-digest@yahoogroups.com - change your subscription to
>> >> daily digest mode.
>> >> tuning-normal@yahoogroups.com - change your subscription to
>> >> individual emails.
>> >> tuning-help@yahoogroups.com - receive general help information.
>> >>
>> >>
>> >>
>> >> Your use of Yahoo! Groups is subject to the Yahoo! Terms of
>> >> Service.
>> >
>>
>> -- Kraig Grady
>> North American Embassy of Anaphoria island
>> http://www.anaphoria.com
>>
>> The Wandering Medicine Show
>> Wed. 8-9 KXLU 88.9 fm
>>
>>
>>
>>
>> You do not need web access to participate. You may subscribe
>> through
>> email. Send an empty email to one of these addresses:
>> tuning-subscribe@yahoogroups.com - join the tuning group.
>> tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning
>> group.
>> tuning-nomail@yahoogroups.com - put your email message delivery on
>> hold for the tuning group.
>> tuning-digest@yahoogroups.com - change your subscription to daily
>> digest mode.
>> tuning-normal@yahoogroups.com - change your subscription to
>> individual emails.
>> tuning-help@yahoogroups.com - receive general help information.
>>
>>
>> Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.
>

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

🔗monz <joemonz@yahoo.com>

> ----- Original Message -----
> From: George Zelenz <ploo@mindspring.com>
> To: <tuning@yahoogroups.com>
> Sent: Sunday, June 24, 2001 9:31 PM
> Subject: Re: OFFLIST Re: [tuning] Re: Hey Paul
>
>
> Joe, nice to hear from you. Is n^0" a mathematical
> symbol for Rome? What does it mean?

Hi George. I explained in pretty good detail in my
private email to you what my signature tag means.
Actually, perhaps you'd like to forward some of that
here, if you think it would be useful to others.

But I guess I didn't really explain n^0.

First, you might want to open a separate window with
this to help guide you:
http://www.ixpres.com/interval/monzo/lattices/lattices.htm

The n^0 is simply a way of designating the point in
my lattices where *every* prime-factor has an exponent
of zero. That only occurs at one place in my lattices,
the 1/1 point. An exponent of zero gives an expression
a value of 1, and so the point which is all 1 is the
reference unison interval 1/1, or n^0 for me.

Each exponent of a prime-factor is represented on my
lattices (and others, and odd-factors on some others)
as a step of one lattice metric along the lines which
radiate outward from each lattice-point. The lines
themselves represent the prime-factors, and there are
as many dimensions in the lattice as there are factors.

Most of my lattices ignore the 2:1 ("octave") ratio,
so a Pythagorean lattice, made up of only powers of 3,
is linear or 1-dimensional. A 5-limit lattice, made
up of prime-factors 3 and 5, is a planar or 2-dimensional
grid. A 7-limit lattice, made up of 3, 5, and 7, is
cubic or 3-dimensional. Etc.

Each linear prime-axis (or composite-axis, if made up of
more than one prime) gives a chain of generators the size
of the basic prime interval. So the Pythagorean linear
graph shows a chain of 3:2s ascending and descending from
the central n^0, with positive and negative exponents
respectively.

The basic 5-axis, which passes thru n^0, gives a chain of
5:4s ascending and descending. There are other chains
of 5:4s passing thru each of the exponents of 3, or
conversely, you could see this same grid as having
other chains of 3:2s passing thru each exponent of 5.

And so on for all the other prime-factors.

-monz
http://www.monz.org
"All roads lead to n^0"

_________________________________________________________
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Get your free @yahoo.com address at http://mail.yahoo.com

🔗George Zelenz <ploo@mindspring.com>

Joe,

great explanation. No need for my version here.

Thanks,

monz wrote:

> > ----- Original Message -----
> > From: George Zelenz <ploo@mindspring.com>
> > To: <tuning@yahoogroups.com>
> > Sent: Sunday, June 24, 2001 9:31 PM
> > Subject: Re: OFFLIST Re: [tuning] Re: Hey Paul
> >
> >
> > Joe, nice to hear from you. Is n^0" a mathematical
> > symbol for Rome? What does it mean?
>
> Hi George. I explained in pretty good detail in my
> private email to you what my signature tag means.
> Actually, perhaps you'd like to forward some of that
> here, if you think it would be useful to others.
>
> But I guess I didn't really explain n^0.
>
> First, you might want to open a separate window with
> this to help guide you:
> http://www.ixpres.com/interval/monzo/lattices/lattices.htm
>
> The n^0 is simply a way of designating the point in
> my lattices where *every* prime-factor has an exponent
> of zero. That only occurs at one place in my lattices,
> the 1/1 point. An exponent of zero gives an expression
> a value of 1, and so the point which is all 1 is the
> reference unison interval 1/1, or n^0 for me.
>
> Each exponent of a prime-factor is represented on my
> lattices (and others, and odd-factors on some others)
> as a step of one lattice metric along the lines which
> radiate outward from each lattice-point. The lines
> themselves represent the prime-factors, and there are
> as many dimensions in the lattice as there are factors.
>
> Most of my lattices ignore the 2:1 ("octave") ratio,
> so a Pythagorean lattice, made up of only powers of 3,
> is linear or 1-dimensional. A 5-limit lattice, made
> up of prime-factors 3 and 5, is a planar or 2-dimensional
> grid. A 7-limit lattice, made up of 3, 5, and 7, is
> cubic or 3-dimensional. Etc.
>
> Each linear prime-axis (or composite-axis, if made up of
> more than one prime) gives a chain of generators the size
> of the basic prime interval. So the Pythagorean linear
> graph shows a chain of 3:2s ascending and descending from
> the central n^0, with positive and negative exponents
> respectively.
>
> The basic 5-axis, which passes thru n^0, gives a chain of
> 5:4s ascending and descending. There are other chains
> of 5:4s passing thru each of the exponents of 3, or
> conversely, you could see this same grid as having
> other chains of 3:2s passing thru each exponent of 5.
>
> And so on for all the other prime-factors.
>
> -monz
> http://www.monz.org
> "All roads lead to n^0"
>
>
>
> _________________________________________________________
>
> Do You Yahoo!?
>
> Get your free @yahoo.com address at http://mail.yahoo.com
>
> You do not need web access to participate. You may subscribe through
> email. Send an empty email to one of these addresses:
> tuning-subscribe@yahoogroups.com - join the tuning group.
> tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning group.
> tuning-nomail@yahoogroups.com - put your email message delivery on hold for the tuning group.
> tuning-digest@yahoogroups.com - change your subscription to daily digest mode.
> tuning-normal@yahoogroups.com - change your subscription to individual emails.
> tuning-help@yahoogroups.com - receive general help information.
>
>
> Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/