Melodic harmonic system-experiments with tone's ratios

LJS

2011-06-03 14:12:54 UTC

It is known that common ET music scale is build in such way that it
possibly exactly includes ratios of small natural numbers. Before I
defended the point of view that such structure of scale is explained
by features of common (so far) music instruments but not of human
music perception. It is clear that alteration of basic semitone
interval in ET scale makes worse a.m. ratios. So I came to idea to
encode famous music works with different semitone's sizes and
compare corresponding sound files. I.e in order to exclude appeaence
of a.m.frequency ratios.
Results of such experiments with song Greensleeves (the whole) and
Beethoven's 5 symphony (first 19 measures) are presented on my sitehttp://home.arcor.de/yuri.vilenkin/experiments .
-decrease in 1,00725 times what corresponds decrease of fifth and
octave accordingly in 1,052 times and 1,1090 times,
-decrease in 1,0145 times what corresponds decrease of fifth and
octave accordingly in 1,106 times and 1,189 times.
The value 1,00725 is chosen in my computer program as it provides
ratios of 12 semitones interval (octave) in diapason from 2*2/3 up to
2*3/2.
Clearly such distortions aren't tolerated by use of common music
instruments.

Is all of that saying anything more than if you tune the notes to be
out of tune that they are out of tune?

Obtained music files is argument that note structure with
overtone series(OTS) isn't only valid for music and is possible to
try other structures too. Besides the obvious shortage of common note
structure is its imcompatibility with confirmed ET scale and that it
is one against many other possible structures. People who consider OTS
structure as only valid don't understand the power of human sound
perception and analysis.

Sorry, but this just doesn't make any sense. I am sympathetic to ESL
problems, but your thoughts here are simply not making sense. I have
no idea what you are trying to say. The fact that it is a lot better
than I can explain my thoughts in a language other than my own native
English language does not alter the fact that your message is just not
clear as to what you are trying to say.

"People who consider OTS structure as only valid valid don't
understand the power of human sound perception and analysis."
If you mean that there are people that consider that the OTS is the
only valid method of tunning scales and chords then that was settled
when the Equal Tempered Scale was used and it opened up the CPP and
its modulations to keys other than the closely related keys of the
music before the use of the ETS.
Since that is the most likely interpretation of what you wrote, I have
to believe that it is not a good interpretation as there is no reason
to try to reprove this after it has been common practice for almost
400 years.

Or in other words:
Are you trying to say that there are people that think all music
needs to be based upon the strict intonation inherent in the OTS? Even
the more modern music after the Renaissance? And that if these people
insist that one needs to use the strict ratio tuning inherent in the
OTS that they don't understand the power of human sound perception and
analysis?

If this is your message, you finally are starting to understand. All
music is a matter of human sound perception. We are all humans and we
are the ones that are doing the perceiving. So that is a rather basic
conclusion. But it is so basic that I hope you are trying to say more
than that. OR are you finally realizing that all these calculations
and retuning of the notes to produce conventional music have nothing
to do with the music itself and musicians can just hear the music and
our perception of the information is interpreted by our brain even
with a wide variance of the actual pitch that is being played. i.e. if
the frequencies are close and in the context of being a 2nd or 3rd or
5th, we will perceive it as a 2nd or 3rd or 5th.
If this is what you are coming to, welcome to the musician's world and
now you only have to discover what the brain uses as a basis for this
comparison when we listen to tonal music.

lol, if you doubt that the human ear can adjust to various intonations
and still think that the music is dependent on strict ratios of ANY
specific intonation scheme in order to be perceived as good, try to
explain the popularity of the T.V. show "American Idol"!

Yuri Vilenkin