Re: [tuning] Johnny Reinhard's "quartertone +/- < 50 cents" notation

Joseph, you caved too soon. Please keep it at > 50 for continued tonal
reasons.

When using either - 31 for the seventh harmonic, or + 29, there is a number
greater than 25 in place. Efficiency is best with > 50 because actual
practice often retains "just" or tonal identification.

Monzo, the quartertone accidentals are in no way identical with a constant
quartertone system. Paul Erlich actually posted about the > 25 possibility a
couple of years ago, and I did consider it. However, my music is tonally
based, and I need the flexibility.

Johnny Reinhard

--- In tuning@egroups.com, Afmmjr@a... wrote:

http://www.egroups.com/message/tuning/12404

> Joseph, you caved too soon. Please keep it at > 50 for continued
tonal reasons. When using either - 31 for the seventh harmonic, or +
29, there is a number greater than 25 in place. Efficiency is best
with > 50 because actual practice often retains "just" or tonal
identification.

Of course... Johnny, you know by now that I have a little "cave man"
in me!

> Monzo, the quartertone accidentals are in no way identical with a
constant quartertone system. Paul Erlich actually posted about the >
25 possibility a couple of years ago, and I did consider it.
However, my music is tonally based, and I need the flexibility.
>
> Johnny Reinhard

Thanks, Johnny, for the clarifications.

Well, it looks as though Johnny's music needs to have the
classification of "quartertone +/- <50..." If one person needs it
this way, undoubtedly several do (??)

Before it goes into the Monzo Dictionary, what say ye... Monz,
Erlich??
_________ ______ __ __ _
Joseph Pehrson

--- In tuning@egroups.com, Afmmjr@a... wrote:
>http://www.egroups.com/message/tuning/12404
>
> When using either - 31 for the seventh harmonic, or + 29,
> there is a number greater than 25 in place. Efficiency is
> best with > 50 because actual practice often retains "just" or
> tonal identification.

Hi Johnny.

But... this is incorrect. The 7th harmonic is ~969 cents,
which renders it in 'quartertone +/- cents' notation as either
1000 -31 or 950 +19 (*not* 29!).

So if 'C' is our 'tonic', and one uses the symbol '^' to
represent a quartertone above a 12-tET pitch, and 'v' to
represent a quartertone below a 12-tET pitch, the 7th harmonic
can be expressed as any of the following: Bb -31, Bbv +19,
or A^ +19.

My personal preference would be to use Bbv +19, because the
retention of 'Bb' shows the 'tonal' quality to which you referred,
and the quartertone gets it closer to the actual frequency of
the harmonic.

In any case, 'quartertone +/- <25 cents' notation is perfectly
sufficient to pinpoint the cents-value of the pitch and to
show its harmonic/tonal relationships.

-monz
http://www.ixpres.com/interval/monzo/homepage.html

--- In tuning@egroups.com, " Monz" <MONZ@J...> wrote:

http://www.egroups.com/message/tuning/12419

> In any case, 'quartertone +/- <25 cents' notation is perfectly
> sufficient to pinpoint the cents-value of the pitch and to
> show its harmonic/tonal relationships.

Thanks so VERY much, Joe, for your explication of the "quartertone
+/- <25 cents" notation. It has helped me correct some amazing
notational stupidities in the piece I am working on at this very
moment!

Best,

joetoo
__________ ____ __ __ _
Joseph Pehrson

--- In tuning@egroups.com, " Monz" <MONZ@J...> wrote:

http://www.egroups.com/message/tuning/12419

> The 7th harmonic is ~969 cents,
> So if 'C' is our 'tonic', and one uses the symbol '^' to
> represent a quartertone above a 12-tET pitch, and 'v' to
> represent a quartertone below a 12-tET pitch, the 7th harmonic
> can be expressed as any of the following: Bb -31, Bbv +19,
> or A^ +19.
>

Additionally... this is particularly apt, since the piece I am
working on with the combined "hexanys" has the 7/4 ratio... 969 cents.

I'm doing the "conversion" from "synthesizer template notation" i.e.
the keys I play, for the viola in BOTH quartertone flats AND sharps
on a table... That way I can easily use EITHER of the above: Bbv +19,
or A^ +19, which are right here on the chart, depending on factors
such as voice leading, etc.

I've gotta admit... I had some "weird ones" in error... but since I
know that I shouldn't be going past 25 cents, I found the "correct"
closest quartertone for the notation. This really came at the right
time!

Thanks!

joetoo
_________ ___ __ __ _
Joseph Pehrson