harmonic number for minor seventh inverted

Hello group. I could use some advice. I know that, for most
chords, there are mutliple ways to assign harmonic numbers to them,
eg, for the minor triad, 10-12-15, or it's utonal equivalent.

How bout for the shell of a chord d-a-c', but then inverted, so you
have a-c'-d'. Would this more naturally be given the harmonic
numbers of the dom 7th chord (6:7:8), or ratios stemming from the
minor seventh chord (6/5-9/8). I was sort of leaning toward the
latter, since, though it's numbers are higher (eg, 9-10-12), that it
is based on the 5-9 minor seventh, which, I thought, pythagorean
wise...(sorry), is a lower order of number (3x3) than 7?

THanks for any input.

Kelly

Hallo Kelly

Sorry for the late response. I first had to configurate
my equipment in order to check the acoustic results.
Nevertheless it seems, I am the first who is answering (?)

I repeat your question as to my understanding:

You ask whether the chord or harmonic configuration
A-C-D could be regarded as a part of
a major septh chord D-(F#)-A-C tuned to the natural
frequency ratios 4 : (5) : 6 : 7
so that A-C-D would be tuned to 6 : 7 : 8
...or as a part of the minor septh chord D-(F)-A-C
tuned to the natural frequency ratios 10 : (12) : 15 : 18
so that A-C-D would be tuned to 15 : 18 : 20

I think, whether you should tune to one or to the other of both
alternative cannot become answered by "correct" or
"incorrect". It only could be answered by yourself if you decide
whether this combination of notes should get a major character
or a minor character.
Indeed, the sound result of 6 : 7 : 8 it much harder with a very distinct
bass combinaton tone "D". (This D paradoxical for my ears seems located
near to a C#, nevertheless it is in correct resonance
to the original D).

Best

Werner

> -----Urspr�ngliche Nachricht-----
> Von: traktus5 [mailto:kj4321@hotmail.com]
> Gesendet: Samstag, 20. November 2004 06:04
> An: tuning@yahoogroups.com
> Betreff: [tuning] harmonic number for minor seventh inverted
>

>
> Hello group. I could use some advice. I know that, for most
> chords, there are mutliple ways to assign harmonic numbers to them,
> eg, for the minor triad, 10-12-15, or it's utonal equivalent.
>
> How bout for the shell of a chord d-a-c', but then inverted, so you
> have a-c'-d'. Would this more naturally be given the harmonic
> numbers of the dom 7th chord (6:7:8), or ratios stemming from the
> minor seventh chord (6/5-9/8). I was sort of leaning toward the
> latter, since, though it's numbers are higher (eg, 9-10-12), that it
> is based on the 5-9 minor seventh, which, I thought, pythagorean
> wise...(sorry), is a lower order of number (3x3) than 7?
>
>
> THanks for any input.
>
> Kelly