Réf. : [harmonic entropy] Re: Where in the series would...?

Hello traktus5 and group, although mostly a silent reader in this group, (which long ago I could not get interested in the analogy between the stochastic approach to entropy and the dQ = TdS concept of classical thermodynamics) I cannot resist telling you of my personal interest in the C1-E1-A1-D2 chord, which is reflected in my Email address, <domilare@..., derived from my name, Domi(nique) Larré.

Best New Year greetings from Paris, where we temporarily benefit from the presence of Bill Sethares

domilare

-------Message original-------

De : traktus5
Date : 12/28/05 05:59:07
A : harmonic_entropy@yahoogroups.com
Sujet : [harmonic_entropy] Re: Where in the series would...?

> > Where would the chord C1-E1-A1-D2 lie in the harmonic series?
>
> What exactly do you mean by this question?

I was just having fun looking at dissonant chords like c#2-e3-a3-d4
(great chord! it has all the inversions -- 6/5, 8/5, 4/3, 16/15; I
wonder if that's related to utonality...) and where they fall high
in the series using only multiples of the numbers (1,2,3,5,7) found
in 5-limit harmony, and couldn't find the solution (which you
provided! Thank you!)

The other thing I was looking at was where, in the series, one finds
all the "usual" (5'limit) intervals (m2,M2, m3,M3, P4, tritone, P5,
m6, M6, m7, M7, etc) as they are formed 'directly' with the
fundemental, using only multiples of numbers 1,2,3,5 and 7. Eg, you
don't get a perfect 4th formed (with 5 limit numbers) with the
fundamental until the number 21. For the minor sixth, 25. For the
tritone, 45. For the minor 3rd, 75 (if that's correct?), and just
noticed how this rather 'fundamental' (low number) interval can (I
assume) only be a multiple of 13 (as related to the fundamental),
which seems kind of neat and strange.

> > (The > > only ones I can find involve 13 or a multiple thereof.
Is it one of
> > those?) Thanks, Kelly
>
> I'd prefer the tuning of the chord as 36:45:60:80, if that's what
> you're asking.
>

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hi Domilare

What do you find interesting about the chord? I just read Tuning,
Timbre, Spectrum, Scale.

--- In harmonic_entropy@yahoogroups.com, domilare@n... wrote:
>
> Hello traktus5 and group, although mostly a silent reader in this
group, (which long ago I could not get interested in the analogy
between the stochastic approach to entropy and the dQ = TdS concept
of classical thermodynamics) I cannot resist telling you of my
personal interest in the C1-E1-A1-D2 chord, which is reflected in my
Email address, <domilare@n..., derived from my name, Domi(nique)
Larré.
>
> Best New Year greetings from Paris, where we temporarily benefit
from the presence of Bill Sethares
>
> domilare
>
>
> -------Message original-------
>
> De : traktus5
> Date : 12/28/05 05:59:07
> A : harmonic_entropy@yahoogroups.com
> Sujet : [harmonic_entropy] Re: Where in the series would...?
>
>
> > > Where would the chord C1-E1-A1-D2 lie in the harmonic series?
> >
> > What exactly do you mean by this question?
>
> I was just having fun looking at dissonant chords like c#2-e3-a3-
d4
> (great chord! it has all the inversions -- 6/5, 8/5, 4/3, 16/15; I
> wonder if that's related to utonality...) and where they fall high
> in the series using only multiples of the numbers (1,2,3,5,7)
found
> in 5-limit harmony, and couldn't find the solution (which you
> provided! Thank you!)
>
> The other thing I was looking at was where, in the series, one
finds
> all the "usual" (5'limit) intervals (m2,M2, m3,M3, P4, tritone,
P5,
> m6, M6, m7, M7, etc) as they are formed 'directly' with the
> fundemental, using only multiples of numbers 1,2,3,5 and 7. Eg,
you
> don't get a perfect 4th formed (with 5 limit numbers) with the
> fundamental until the number 21. For the minor sixth, 25. For
the
> tritone, 45. For the minor 3rd, 75 (if that's correct?), and just
> noticed how this rather 'fundamental' (low number) interval can (I
> assume) only be a multiple of 13 (as related to the fundamental),
> which seems kind of neat and strange.
>
> > > (The > > only ones I can find involve 13 or a multiple
thereof.
> Is it one of
> > > those?) Thanks, Kelly
> >
> > I'd prefer the tuning of the chord as 36:45:60:80, if that's
what
> > you're asking.
> >
>
>
>
>
>
>
>
>
> -------------------------------------------------------------------
-------------
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>
> Visit your group "harmonic_entropy" on the web.
>
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>
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>