Improvisation in 17-note MOS of beatles temperament

Well, I haven't been doing much actual music lately, but I've been playing with different scales and tunings to get a feel for them. Maybe someone will get some ideas from this.

http://sites.google.com/site/teamouse/beatles-improv.mp3

I start with the simple 7-note MOS of beatles temperament, followed by the 10-note MOS (as two alternating pentatonic scales), and then a more extended sequence illustrating the variety of thirds from subminor to major and neutral, giving this scale almost a blues-like quality in some parts.

--- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:

> http://sites.google.com/site/teamouse/beatles-improv.mp3

I tried this file out on a ton of different programs and they all seemed to think it was broken, or at least that it wasn't an mp3 file.

Indeed this is a versitile tuning!

Nice improvisation demonstrated that.
Sent via BlackBerry from T-Mobile

-----Original Message-----
From: Herman Miller <hmiller@...>
Date: Mon, 31 May 2010 11:18:13
To: <tuning@yahoogroups.com>
Subject: [tuning] Improvisation in 17-note MOS of beatles temperament

Well, I haven't been doing much actual music lately, but I've been
playing with different scales and tunings to get a feel for them. Maybe
someone will get some ideas from this.

http://sites.google.com/site/teamouse/beatles-improv.mp3

I start with the simple 7-note MOS of beatles temperament, followed by
the 10-note MOS (as two alternating pentatonic scales), and then a more
extended sequence illustrating the variety of thirds from subminor to
major and neutral, giving this scale almost a blues-like quality in some
parts.

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
> --- In tuning@yahoogroups.com, Herman Miller <hmiller@> wrote:
>
> > http://sites.google.com/site/teamouse/beatles-improv.mp3
>
> I tried this file out on a ton of different programs and they all
> seemed to think it was broken, or at least that it wasn't an mp3
> file.

That's because it isn't an mp3 file, it's a phony Google sites
link. You've got an html page with an mp3 extension, which is
only 4K. You have to left-click and then download from the
subsequent page. -Carl

--- In tuning@yahoogroups.com, "Carl Lumma" <carl@...> wrote:

> That's because it isn't an mp3 file, it's a phony Google sites
> link. You've got an html page with an mp3 extension, which is
> only 4K. You have to left-click and then download from the
> subsequent page. -Carl

Thanks Carl. DownloadHelper downloaded it and saved it as an mp3 file. Why is Google trying to be cute with this stuff?

Anyway, good show Herman. You show convincingly that Beatles is both xenharmonic and reasonably harmonious, I think, though who can tell until someone does a cover of a Beatles song in it?

Speaking of neutral third generators, I have a feeling we are still missing something when it comes to constructing scales with a given rank two temperament with all of this focus on MOS. I was looking at tempering the double duodene I tossed out a few days back, and it seems to me the most interesting way to do it may be with a temperament which would ordinarily be overlooked as too complex, hemiorwell. This is where you take 7-limit orwell and toss in 243/242, which splits the orwell generator in half and makes it a pretty complex looking system. And yet the 24 notes of the double duodene seem to make good use of it.

I searched messages (from this year) to no avail for the tuning system
called Beatles - excepting the short hand I can't interpet.

Could someone be kind enough to post cents or fractions or the scala file text?

Thanks,

Chris

On Mon, May 31, 2010 at 2:45 PM, genewardsmith
<genewardsmith@sbcglobal.net> wrote:
>
>
>
> --- In tuning@yahoogroups.com, "Carl Lumma" <carl@...> wrote:
>
> > That's because it isn't an mp3 file, it's a phony Google sites
> > link. You've got an html page with an mp3 extension, which is
> > only 4K. You have to left-click and then download from the
> > subsequent page. -Carl
>
> Thanks Carl. DownloadHelper downloaded it and saved it as an mp3 file. Why is Google trying to be cute with this stuff?
>
> Anyway, good show Herman. You show convincingly that Beatles is both xenharmonic and reasonably harmonious, I think, though who can tell until someone does a cover of a Beatles song in it?
>
> Speaking of neutral third generators, I have a feeling we are still missing something when it comes to constructing scales with a given rank two temperament with all of this focus on MOS. I was looking at tempering the double duodene I tossed out a few days back, and it seems to me the most interesting way to do it may be with a temperament which would ordinarily be overlooked as too complex, hemiorwell. This is where you take 7-limit orwell and toss in 243/242, which splits the orwell generator in half and makes it a pretty complex looking system. And yet the 24 notes of the double duodene seem to make good use of it.
>

Oh wait

Is the first one Beatles?

> 27-EDO, Neutral Third Decatonic
> 355.556¢ generator, Large step = 133.333¢, small step = 88.889¢
> Scale shape = LsLLsLLLsL
> 0\27 0¢
> 3\27 133.333¢
> 5\27 222.222¢
> 8\27 355.555¢
> 11\27 488.889¢
> 13\17 577.778¢
> 16\27 711.111¢
> 19\27 844.444¢
> 22\27 977.778¢
> 24\27 1066.667¢
> 27\27 1200¢

AKA "Beatles temperament", so named because 19/64 octave, or 356.25 cents, is a
good choice of generator.

> 3) Today the Wind Brought Regret
>
> 14-EDO, Subminor/Supermajor Enneatonic ("Anti-Orwell")
> 257¢ generator (rounded because 1200/14 produces complex decimals and I'm
lazy)
> Large step = 171¢, small step = 86¢
> Scale shape = LsLsLsLsLsL
> 0\14 0¢
> 2\14 171¢
> 3\14 257¢
> 5\14 429¢
> 6\14 514¢
> 8\14 685¢
> 9\14 771¢
> 11\14 942¢
> 12\14 1028¢
> 14\14 1200¢
>
> I'm sure there's a name for this temperament, but I don't know it.

It has at least two I know of--beep and bug.

On Mon, May 31, 2010 at 2:56 PM, Chris Vaisvil <chrisvaisvil@...> wrote:
> I searched messages (from this year) to no avail for the tuning system
> called Beatles - excepting the short hand I can't interpet.
>
> Could someone be kind enough to post cents or fractions or the scala file text?
>
> Thanks,
>
> Chris
>

Carl Lumma wrote:
> --- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>> --- In tuning@yahoogroups.com, Herman Miller <hmiller@> wrote:
>>
>>> http://sites.google.com/site/teamouse/beatles-improv.mp3
>> I tried this file out on a ton of different programs and they all
>> seemed to think it was broken, or at least that it wasn't an mp3
>> file.
> > That's because it isn't an mp3 file, it's a phony Google sites
> link. You've got an html page with an mp3 extension, which is
> only 4K. You have to left-click and then download from the
> subsequent page. -Carl

That's strange, I wasn't aware of this problem (Firefox brings it up for me when I click the link). Maybe the main page would be a better place to start.

http://sites.google.com/site/teamouse/

Chris Vaisvil wrote:
> I searched messages (from this year) to no avail for the tuning system
> called Beatles - excepting the short hand I can't interpet.
> > Could someone be kind enough to post cents or fractions or the scala file text?
> > Thanks,

I'm using a generator of 355.683 cents with an octave of 1198.236 cents.

! C:\music\scales\beatles17.scl
!
17-note MOS of beatles temperament
17
!
93.30900
131.18700
224.49600
262.37400
355.68300
448.99200
486.87000
580.17900
618.05700
711.36600
749.24400
842.55300
935.86200
973.74000
1067.04900
1104.92700
1198.23600

There's room for some variation, as with any of these temperaments. One version is closer to 27-ET, and another is a subset of 64-ET (with a 19-step generator). The TOP tuning (which is one kind of optimal tuning) is P=1197.104, G=354.720, and the TOP-RMS tuning (another optimal tuning) is P=1196.642, G=354.908.

--- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:

> That's strange, I wasn't aware of this problem (Firefox brings it up for
> me when I click the link). Maybe the main page would be a better place
> to start.
>
> http://sites.google.com/site/teamouse/
>

For me, most of the links are clickable, leading to downloads, but not "Improvisation in 17-note MOS of beatles temperament".

genewardsmith wrote:
> > --- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:
> >> That's strange, I wasn't aware of this problem (Firefox brings it
>> up for me when I click the link). Maybe the main page would be a
>> better place to start.
>> >> http://sites.google.com/site/teamouse/
>> > > For me, most of the links are clickable, leading to downloads, but
> not "Improvisation in 17-note MOS of beatles temperament".

Strange. Do any of the Pianoteq examples work for you? It could be something to do with the recent switch to Google Sites (but I tried it with IE and Safari as well as Firefox and don't have any problems with it).

I put a copy up in the files section at /tuning/files/HermanMiller/

and moved the gorgo example that was there to my Google site.

http://sites.google.com/site/teamouse/gorgo-example.mp3

--- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:

> Strange.

Not strange at all. You linked to a file with an mp3 extension,
which redirects instead to a page with a link on it.

-Carl

--- In tuning@yahoogroups.com, Herman Miller <hmiller@...> wrote:

> > For me, most of the links are clickable, leading to downloads, but
> > not "Improvisation in 17-note MOS of beatles temperament".
>
> Strange. Do any of the Pianoteq examples work for you?

The Pianoteq examples are fine. Gorgo has the same problem now that Beatles has.

A true Persian Chargah gamut opening, I think. There is at least one
more maqam flavour in there, Ushshaq I suppose.

Sounds chiptuney, then bluesey, and nice overall! 7-limit minor thirds
are strong at times.

Oz.

✩ ✩ ✩
www.ozanyarman.com

On May 31, 2010, at 6:18 PM, Herman Miller wrote:

> Well, I haven't been doing much actual music lately, but I've been
> playing with different scales and tunings to get a feel for them.
> Maybe
> someone will get some ideas from this.
>
> http://sites.google.com/site/teamouse/beatles-improv.mp3
>
> I start with the simple 7-note MOS of beatles temperament, followed by
> the 10-note MOS (as two alternating pentatonic scales), and then a
> more
> extended sequence illustrating the variety of thirds from subminor to
> major and neutral, giving this scale almost a blues-like quality in
> some
> parts.
>
>