Consonance coefficient

The motive for which I have needed a list of the intervals was tied up
to the type of software that I am preparing. He, once you give the notes
of a chord, produces all his possible inversions on guitar keyboard. The
number of inversions is so high that it requires a filter that allows to
rearrange it with various criterions.
These are essentially of two types:
a) technical difficulty (fingering)
b) level of consonance

Naturally the point b is a problem so vast and open from seem me often a
pure utopia. My objective would be that of establish a "consonance
coefficient" that gathers in a number the problematic that the concept
of "consonance" implies (beating, harmonics series and many other things
that I don't know but that surely anybody of you knows well...)
Naively I've thought that this number could be synthesized in a value to
give to the various intervals that each inversion requires. For
instance:

octave=3D 12
P5=3D 11
P4=3D 10
M6=3D 9
M3=3D 8
m3=3D 7
m6=3D 6
m7=3D 5
4+=3D 4
M2=3D 3
M7=3D 2
m2=3D 1

This is only an example based upon my instinctive list of the intervals.

A triad of C would get the followings "scores":

Root position: M3, m3, P5=3D 8+ 7+ 11=3D 26
First inversion: m3, P4, m6=3D 7+ 10+ 6=3D 23
Second inversion: P4, M3, M6=3D 10+ 8+ 9=3D 27

The fact that the second inversion is, in according to this strange
"score", more consonant than root position is strange but, in effects,
in the harmonics series it appears before.

In short the principal problem is that of establish the values in the
intervals list correctly. I don't know if my method is too na=EFve, let m=
e
know. Ciao.

--Lorenzo


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>Date: Wed, 6 Nov 96 16:45 EST
>From: PAULE
>To: tuning
>Subject: RE: Chinese musical scales
>Message-ID: <73961106214537/0005695065PK4EM@MCIMAIL.COM>
>
>
>>Observed tuning from chinese sheng or mouth organ
>>0.0000 210.0000 338.0000 498.0450 715.0000 908.0000 1040.0000 1200.0000
>
>Who "observed" the fourth note of this scale?
>

Come to think of it - who "observed" the octave as being exactly 1200.000??
A rhetorical question - I think it was A.J. Ellis.

Pat Missin.


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> >>Observed tuning from chinese sheng or mouth organ
> >>0.0000 210.0000 338.0000 498.0450 715.0000 908.0000 1040.0000 1200.0000
> >
> >Who "observed" the fourth note of this scale?
> >
>
> Come to think of it - who "observed" the octave as being exactly 1200.000??
> A rhetorical question - I think it was A.J. Ellis.

Ellis yes, taken from the playing of Chinese musicians at the
International Health Exhibition, 1885, during private interviews.
Actually the octave was typed in wrongly, it's 1199 cents. See page 518
of Helmholtz: On the Sensations of Tone.
Of course, it being a wind instrument and not a Rayna synthesizer, should
any figures after the decimal point be taken with a grain of salt.
It depends on how hard you blow.
Another correction:
Chinese Flute / Ellis
0.0000 178.0000 339.0000 448.0000 662.0000 888.0000 1103.0000 1196.0000

Manuel Op de Coul coul@ezh.nl

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There is not just one "Sheng". My eyes have seen sheng with
number of pipes ranging from five to at least fifteen, or many
more. I did not walk round to count it (how many fingers?).

Instruments are not built to perform "scales", but rather, music.
Neither is there only just one kind of Chinese music, but in fact,
numerous. Very often, Chinese music are played together by many
kinds of instruments, together playing a same melody, at a same or
different octaves. And most of these instruments have very different
ways of tuning, due to their very different constructions.

To judge how MUSIC is tuned by how one instrument, in particularly
one with the greatest of limitations, is tuned is like judging the
magnitude of World War II by the size of the stage a drama about
World War II has been played on it.

Music is judged by how music appeals to the audience. Music is art.
Art is freedom from many limits. This is at least one way how I see it.

Linus Liu.

>>Observed tuning from chinese sheng or mouth organ
>>0.0000 210.0000 338.0000 498.0450 715.0000 908.0000 1040.0000 1200.0000
>
>Who "observed" the fourth note of this scale?


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hi.

i initially started this thread of emails looking for
cent values for the Lu"s (12 1/4 wavelength resonator pipes in the one foot
long range)

somebody gave the cent values, but without reference to frequency.
do i assume that 0 cents is a C? I know that is is supposedly close
to a C, (at least thats what "Chinese Music" by Van Aalst says)
but not quite exactly.

does anyone know what frequency i can refernce these cent values to?

thanks.

Ben




--<-@--<-@--<-@--<-@--<-@--<-@--<-@--<-@--<-@--<-@
it is then unconditional positive regard or love which releases
the infinite potential of creativity.
- Paul W. Dixon




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