brat comparisons

http://lumma.org/tuning/brats.zip

This 3MB zip file contains wav file renderings of
various tunings of the 4:5:6 major triad. Included
is a text file explaining the tunings. The
rendering was done in Cool Edit.

Neither zip or rar (which has a special compression
algorithm for wav files) seem to compress the examples
with "good" brats any differently.

The metameantone example is interesting. To my ear
the schismic examples are all so close to just none
really stand out.

For further testing brats, I plan to play the triads
of Wendell's "Natural Synchronous Well" and compare
them to the triads of, say, Young. Ditto Alaska5 and
Fried-Alaska trines.

-Carl

--- In tuning@yahoogroups.com, Carl Lumma <ekin@l...> wrote:

> The metameantone example is interesting.

Metameantone, or what I call Wilson meantone, is the one I find
interesting. I use the Wilson fifth quite a bit.

[I wrote...]
>For further testing brats, I plan to play the triads of
>Wendell's "Natural Synchronous Well" and compare them
>to the triads of, say, Young. Ditto Alaska5 and Fried-Alaska
>trines.

Instead of Cool Edit, this is just Scala-pitch-bend MIDI.
I figure it's as accurate most piano tunings. Would our MIDI
experts agree with that?

http://lumma.org/tuning/brats2.zip
(only 18KB)

Included are all the .scl and .seq files I used, and MTS
version of the midi files, which gave me no luck with Audio
Compositor just now. If anyone would care to render a few
of these without telling us which are which (ie, wendell vs.
young, metamean vs. 50-tET, alaska5 vs. fried-alaska), I
think it would make a fun test.

-Carl

--- In tuning@yahoogroups.com, Carl Lumma <ekin@l...> wrote:

> Included are all the .scl and .seq files I used, and MTS
> version of the midi files, which gave me no luck with Audio
> Compositor just now. If anyone would care to render a few
> of these without telling us which are which (ie, wendell vs.
> young, metamean vs. 50-tET, alaska5 vs. fried-alaska), I
> think it would make a fun test.

I'm not rendering until Manuel gets back from vacation and answers my
email, but remind me if you wish when he does.

>> Included are all the .scl and .seq files I used, and MTS
>> version of the midi files, which gave me no luck with Audio
>> Compositor just now. If anyone would care to render a few
>> of these without telling us which are which (ie, wendell vs.
>> young, metamean vs. 50-tET, alaska5 vs. fried-alaska), I
>> think it would make a fun test.
>
>I'm not rendering until Manuel gets back from vacation and answers
>my email, but remind me if you wish when he does.

He's got a few in the queue from me too, and I think if you
just play those mts files you'll hear something amiss. The
pitch bend versions seem to work meanwhile.

-Carl

--- In tuning@yahoogroups.com, Carl Lumma <ekin@l...> wrote:

> He's got a few in the queue from me too, and I think if you
> just play those mts files you'll hear something amiss. The
> pitch bend versions seem to work meanwhile.

Sounds suspiciously as if we've both found the same problem. :(

>I'm not rendering until Manuel gets back from vacation and answers my
>email, but remind me if you wish when he does.

Gene found a bug in the routine to calculate MTS tuning numbers.
The least significant byte is off by 64 in half the cases on
average, which is 0.39 cents. It affects both the bulk dump
and midi file retuning with MTS. I copied a few lines of code
from another place and didn't review it carefully alas.

By the way, I saw in a Paris bookshop that there's a reprint
of the six d'Erlanger volumes about Arabic music. They can
be bought separately. If you buy all, it costs quite a lot.

Manuel

--- In tuning@yahoogroups.com, "Manuel Op de Coul"
<manuel.op.de.coul@e...> wrote:

> Gene found a bug in the routine to calculate MTS tuning numbers.
> The least significant byte is off by 64 in half the cases on
> average, which is 0.39 cents.

When it is off it is always sharp, so shifting up by half of this, it
is always within 0.1953125 cents, or exactly one of Joe's enneamus,
of being correct. While the error would in most tuning usages not be
noticable, it can effect some things--like brats and exact JI.

> By the way, I saw in a Paris bookshop that there's a reprint
> of the six d'Erlanger volumes about Arabic music. They can
> be bought separately. If you buy all, it costs quite a lot.

If you can somehow convince a university libary to buy them, it costs
you nothing. I'd try that first.