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Three faces of a single 2D temperament

🔗Petr Pařízek <petrparizek2000@...>

3/26/2012 3:13:53 AM

If you figure out what temperament this is played in, then you're really skilled listeners:
http://dl.dropbox.com/u/8497979/pp_guess_what_this_is.mp3
Petr

🔗Mike Battaglia <battaglia01@...>

3/26/2012 6:40:49 AM

Wow, tricky. Is it Sensi?

-Mike

On Mar 26, 2012, at 6:14 AM, "Petr Pařízek" <petrparizek2000@...>
wrote:

If you figure out what temperament this is played in, then you're really
skilled listeners:
http://dl.dropbox.com/u/8497979/pp_guess_what_this_is.mp3
Petr

🔗Petr Pařízek <petrparizek2000@...>

3/26/2012 6:55:09 AM

Mike wrote:

> Wow, tricky. Is it Sensi?

Of course, it is. (I know you would get it right.) -- Who would have thought how many other temperaments could possibly be imitated this way? :-)

Petr

🔗Mike Battaglia <battaglia01@...>

3/26/2012 8:13:08 AM

2012/3/26 Petr Pařízek <petrparizek2000@...>
>
> Mike wrote:
>
> > Wow, tricky. Is it Sensi?
>
> Of course, it is. (I know you would get it right.) -- Who would have
> thought
> how many other temperaments could possibly be imitated this way? :-)
>
> Petr

Very nice! So let me guess:

First part: Sensi[11]
Second part: you used the MOS of the doubled generator - meaning the
MOS generated by the (9/7)^2 ≈ 5/3 instead of 9/7
Third part: 9-limit chords (but no comma pump?)

-Mike

🔗petrparizek2000 <petrparizek2000@...>

3/26/2012 1:42:45 PM

Hi Mike,
to make a long story short, if you take a 12-tone chain of semisixth generators and sort the pitches in monotonic order (despite the fact that it doesn't make a MOS), you can get the whole thing on a conventional 12-tone keyboard. :-D
The first part is based on the wide minor seconds made by stacking 3 generators, three of which add up to a major third.
The second part uses a mode whose steps alternate between +3 and -5 generators.
And the third part is something like imitating BP except the fact that the 3/1s, rather than working as the period, span 7 generators here, which means that the 3:5:7:9 chord is now something like 0_2_6_7 in terms of generator numbers.
---
Okay, that's just about it.
Petr
PS: A huge 5-limit pun coming soon. :-D