Terry Riley and Guiseppe Verdi

I sent the Duke's aria from Rigoletto, Questa o quello, through the
midchord machine and obtained the following chord count (major, minor,
and seventh chords:)

D flat 6 0 0
A flat 40 0 6
E flat 7 0 8
B flat 0 0 0
F 0 0 0
C 14 8 0
G 50 2 o
D 17 0 0
A 0 0 0
E 0 0 0
B 2 2 0

This is tunable in JI, the only conflict being the D sharp a major
third over B versus E flat. We could temper that out via augmented,
which leads to the very 400 cent major thirds we most wish to avoid
when retuning. If we bite the bullet and decide to let D sharp fend
for itself, we get a 5-limit JI scale Scala identified for me as
Terry Riley's Harp of New Albion scale; we could play Verdi in this,
tuned to G:

! albion.scl
!
Terry Riley's Harp of New Albion scale, inverse Malcolm's Monochord,
1/1 on C#
12
!
16/15
9/8
6/5
5/4
4/3
64/45
3/2
8/5
5/3
16/9
15/8
2/1

Scala identifies a mode of this as indian12.scl ("North Indian Gamut")
and three inversions as kepler2.scl ("Kepler's Monochord No. 2"),
malcolm.scl ("Malcolm's Monochord 1721"), and wuerschmidt.scl
("Wuerschmidt's Normalized 12-tone system".) So in one form or
another, it keeps popping up.

What I actually ended up doing was taking the New Albion scale,
tempering by 225/224, and retuning Verdi to that. It sounds very nice
to me; I have no idea how Carl's friends would react. I would suggest
that any of these 12-note 5-limit JI scales would make good
candidates for 225/224 tempering; I've included the Ellis duodene
tempered in this way as well.

! albionbyz.scl
Albion 225/224 planar scale
12
!
116.015465
199.625824
315.641288
384.171624
500.187089
616.202554
699.812911
815.828377
884.358712
1000.374177
1083.984535
1200.000000

! duo.scl
!
Ellis Duodene tempered by
225/224
12
!
116.015462
199.625825
315.641287
384.171625
500.187088
583.797450
699.812912
815.828375
884.358713
1015.454200
1083.984538
1200.000000

Albionbyz has seven major triads, five minor triads (six if you
aren't fussy about your thirds), two supermajor triads and three
subminor triads. Duo has six major triads, six minor triads, three
supermajor triads and three subminor triads. The minor thirds are
just, incidentally.

Gene,

>What I actually ended up doing was taking the New Albion scale,
>tempering by 225/224, and retuning Verdi to that. It sounds very
>nice to me; I have no idea how Carl's friends would react.

Did you mean to post a link? I can let you know how me and my
friends react. :)

-Carl

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

> Did you mean to post a link? I can let you know how me and my
> friends react. :)

I haven't finished Rigoletto, but I could put up a Verdi page anyway.

I didn't think there was much interest in my endeavors, so I haven't
been very good about uploading or adding web pages. Sitting around
are not only standard retunings, but Symphonie Fantastique tuned to
Pajara[12] and an orchestrated Ravel string quartet tuned to Wreckpop.
Plus, a Brahms Second Piano concerto where the soloist thinks it is a
jazz composition, quite a bit of orchestrated piano sonatas and
string quartets, standard symphonies (Tchaikovsky 4, Mendelssohn 4,
Bruckner 7 and 8) and other stuff. Plus, quite a few pop classics.

Anyone want to tell me what to put up?

>> Did you mean to post a link? I can let you know how me and my
>> friends react. :)
>
>I haven't finished Rigoletto, but I could put up a Verdi page anyway.

Well no harm in waiting 'til it's finished.

>I didn't think there was much interest in my endeavors, so I haven't
>been very good about uploading or adding web pages. Sitting around
>are not only standard retunings, but Symphonie Fantastique tuned to
>Pajara[12] and an orchestrated Ravel string quartet tuned to Wreckpop.
>Plus, a Brahms Second Piano concerto where the soloist thinks it is a
>jazz composition, quite a bit of orchestrated piano sonatas and
>string quartets, standard symphonies (Tchaikovsky 4, Mendelssohn 4,
>Bruckner 7 and 8) and other stuff. Plus, quite a few pop classics.
>
>Anyone want to tell me what to put up?

The pajara and wreckpop sound good, and the pop stuff. I'm not a
huge fan of Brahms, Tchai or Bruckner, but of course if you have
the disk space it can't hurt!

Now, for something slightly different:

Your linear temperaments link is broken.

I can't find the Franz Berwald stuff on your site, and since the
ogg metadata wasn't filled in I don't know the tuning. What was it?

May I suggest a different structure for your page?

Instead of

Music -> Gene's music, bifrost, etc. -> ogg files

try

Gene's Music -> ogg files
Retuned Music -> ogg files

The link to the ogg files should tell the title and the tuning.
The file name should tell the complete title, use long file names,
with underscore or dash instead of whitespace. The ogg metadata
should tell everything, including the tuning.

-Carl

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

> I can't find the Franz Berwald stuff on your site, and since the
> ogg metadata wasn't filled in I don't know the tuning. What was it?

Extended meantone--81 et.

> May I suggest a different structure for your page?
>
> Instead of
>
> Music -> Gene's music, bifrost, etc. -> ogg files
>
> try
>
> Gene's Music -> ogg files
> Retuned Music -> ogg files

I'm planning on creating more than one way to get to ogg files; one
would be by composer.