Tritave scale with a 5/3 generator.
Mailing list post
From: Jake Freivald (2011-09-15)
Subject: Three Days Apart
"Three Days Apart" is something I've spent too much time on lately. Strings,
flute, and an impossible soprano saxophone.
http://soundcloud.com/jdfreivald/three-days-apart
As with most things I do, this is (a) short, only 1:12, and (b) an
experiment. The experiment part was to attempt something in what I jokingly
call "Trithagorean" -- a 3/1-repeating scale based on stacking perfect 5/3s
and 9/5s. That can give you an MOS at 13 or 15 notes, but I only used about
10 of them. It took an immensely long time to get anything to work for me in
this scale, and I still think I like the first 21 seconds -- the
least-harmonized section -- more than the rest of the piece.
Here's the scale:
! trithagorean[13] -- tritave with 5_3 generator.scl
!
Tritave scale with a 5/3 generator.
13
!
27/25
729/625
19683/15625
3125/2187
125/81
5/3
9/5
243/125
6561/3125
15625/6561
625/243
25/9
3/1
There are some interesting things here, including tones that are
indistinguishable from 9/7, the 12-EDO major third, and the 12-EDO minor
tenth. No octaves in any mode, though, and I deliberately avoided the
1150-cent tone (243/125).
Written in LilyPond and rendered with Timidity++.
Regards,
Jake
[Non-text portions of this message have been removed]
Full thread (3 messages)
From: Jake Freivald (2011-09-15)
Subject: Three Days Apart
"Three Days Apart" is something I've spent too much time on lately. Strings,
flute, and an impossible soprano saxophone.
http://soundcloud.com/jdfreivald/three-days-apart
As with most things I do, this is (a) short, only 1:12, and (b) an
experiment. The experiment part was to attempt something in what I jokingly
call "Trithagorean" -- a 3/1-repeating scale based on stacking perfect 5/3s
and 9/5s. That can give you an MOS at 13 or 15 notes, but I only used about
10 of them. It took an immensely long time to get anything to work for me in
this scale, and I still think I like the first 21 seconds -- the
least-harmonized section -- more than the rest of the piece.
Here's the scale:
! trithagorean[13] -- tritave with 5_3 generator.scl
!
Tritave scale with a 5/3 generator.
13
!
27/25
729/625
19683/15625
3125/2187
125/81
5/3
9/5
243/125
6561/3125
15625/6561
625/243
25/9
3/1
There are some interesting things here, including tones that are
indistinguishable from 9/7, the 12-EDO major third, and the 12-EDO minor
tenth. No octaves in any mode, though, and I deliberately avoided the
1150-cent tone (243/125).
Written in LilyPond and rendered with Timidity++.
Regards,
Jake
[Non-text portions of this message have been removed]
From: Chris Vaisvil (2011-09-15)
Subject: Re: [MMM] Three Days Apart
Really good! I like this tuning and what you did with it!
Chris
On Thu, Sep 15, 2011 at 12:52 AM, Jake Freivald <jdfreivald@...>wrote:
> **
>
>
> "Three Days Apart" is something I've spent too much time on lately.
> Strings,
> flute, and an impossible soprano saxophone.
>
> http://soundcloud.com/jdfreivald/three-days-apart
>
> As with most things I do, this is (a) short, only 1:12, and (b) an
> experiment. The experiment part was to attempt something in what I jokingly
> call "Trithagorean" -- a 3/1-repeating scale based on stacking perfect 5/3s
> and 9/5s. That can give you an MOS at 13 or 15 notes, but I only used about
> 10 of them. It took an immensely long time to get anything to work for me
> in
> this scale, and I still think I like the first 21 seconds -- the
> least-harmonized section -- more than the rest of the piece.
>
> Here's the scale:
>
> ! trithagorean[13] -- tritave with 5_3 generator.scl
> !
> Tritave scale with a 5/3 generator.
> 13
> !
> 27/25
> 729/625
> 19683/15625
> 3125/2187
> 125/81
> 5/3
> 9/5
> 243/125
> 6561/3125
> 15625/6561
> 625/243
> 25/9
> 3/1
>
> There are some interesting things here, including tones that are
> indistinguishable from 9/7, the 12-EDO major third, and the 12-EDO minor
> tenth. No octaves in any mode, though, and I deliberately avoided the
> 1150-cent tone (243/125).
>
> Written in LilyPond and rendered with Timidity++.
>
> Regards,
> Jake
>
> [Non-text portions of this message have been removed]
>
>
>
[Non-text portions of this message have been removed]
From: Jake Freivald (2011-09-17)
Subject: Re: [MMM] Three Days Apart
> Really good! I like this tuning and what you did with it!
Thanks, Chris. I think I like the tuning more in theory than I do in
practice -- it was hard as heck to make anything sound good with it, and
though I like parts of the result I still feel like I could do better. On
the other hand, I have difficulty making anything work with BP and other odd
scales, so maybe I just need to keep noodling along. :) Regardless, it was
an experiment worth doing.
Thanks,
Jake
[Non-text portions of this message have been removed]