Mathematical Consonance vs. Physiological Consonance

Both
1) Mathematical Consonance (spacing tones further apart/limiting beat)
and
2) Physiological Consonance (IE order of tones including major vs.
minor intervals)
are very important in making natural-sounding scales.
*****************************************************************
But the raging debate seems to be...which one is dominant?
And, furthermore perhaps, how much of one should you compensate...to
gain an advantage at the other?

Try listening to these two samples

http://www.geocities.com/djtrancendance/harmonicseriesvs/ascscale.mp3
http://www.geocities.com/djtrancendance/harmonicseriesvs/ascscaleharm.mp3

One has intervals virtually equivalent to nature while the other
sacrifices some of that to gain an advantage in mathematical consonance.

You may be very surprised...once I tell you which is which.

-Michael

--- In tuning@yahoogroups.com, "djtrancendance" <djtrancendance@...>
wrote:

> Try listening to these two samples
>
> http://www.geocities.com/djtrancendance/harmonicseriesvs/ascscale.mp3
> http://www.geocities.com/djtrancendance/harmonicseriesvs
> /ascscaleharm.mp3
>
> One has intervals virtually equivalent to nature while the
> other sacrifices some of that to gain an advantage in
> mathematical consonance.
>
> You may be very surprised...once I tell you which is which.

Well it certainly sounds like the second one is a harmonic
series, and the first one something modified. Then again,
the file names kinda give it away, no?

The first one sounded more interesting to me, because I felt
like the second one, though more consonant overall, was very
familiar and 'nothing new', whereas I couldn't quite identify
the first one.

-Carl

Was the first one a lydian scale with 11/8 used as the fourth scale degree?

Sounds like the first one was:

1/1
9/8
5/4
11/8
3/2
5/3
15/8
2/1

The first one was more "consonant", I would say. The second one could
be made consonant if it were placed in the right context, I think.

-Mike

On Sat, Jan 10, 2009 at 7:39 PM, Carl Lumma <carl@...> wrote:
> --- In tuning@yahoogroups.com, "djtrancendance" <djtrancendance@...>
> wrote:
>
>> Try listening to these two samples
>>
>> http://www.geocities.com/djtrancendance/harmonicseriesvs/ascscale.mp3
>> http://www.geocities.com/djtrancendance/harmonicseriesvs
>> /ascscaleharm.mp3
>>
>> One has intervals virtually equivalent to nature while the
>> other sacrifices some of that to gain an advantage in
>> mathematical consonance.
>>
>> You may be very surprised...once I tell you which is which.
>
> Well it certainly sounds like the second one is a harmonic
> series, and the first one something modified. Then again,
> the file names kinda give it away, no?
>
> The first one sounded more interesting to me, because I felt
> like the second one, though more consonant overall, was very
> familiar and 'nothing new', whereas I couldn't quite identify
> the first one.
>
> -Carl
>
>