mutant srutis ???

Friday 23rd of May czhang23@aol.com a �crit :

> Possibly idea(s): Would a well-tempered "mutation" of the 22-tone Indian
> _shruti_ work interestingly 0_o?

I would think there are plenty, almost each raga claims for its own mutation of the 22 srutis...
so behind the 22 srutis, there might be (at least) 45 possible tones that have something to say.

> or how about a more extreme, "extended"
> _temperament ordinaire_ - some variety of irregular temperament somewhere between
> 22tET and authentic _shruti_?

What are (the) "authentic" (22) srutis would already be quite a question !
Then these are naturally closer to 12 tet than 22 tet - that's not the simplest road.
But why not, looks like a weird microtonal idea - a shy 5/4 and a XXL 3/2 should do it -
what about the 12th sruti - ooops ! some sort of a 16/11 may be ?
the only thing I can think of is thirteen "3/2" giving a 8/5
unless you prefer nine "3/2" giving a "5/4" ?
or six "3/2" giving a "16/11", after all ?
why don't you try something, it's your idea !

Jac D. (aeh@free.fr) a écrit:

>> or how about a more extreme, "extended"
>> _temperament ordinaire_ - some variety of irregular temperament somewhere
>>between 22tET and authentic _shruti_?
>
>What are (the) "authentic" (22) srutis would already be quite a question!

Likewise Pelog, *gigglabyte/googolspassoctet*
Mayhaps I should say "a generalized sruti", eh?

>Then these are naturally closer to 12 tet than 22 tet - that's not the
>simplest road.

In there lays the challenge I do believe :)

>But why not, looks like a weird microtonal idea - a shy 5/4 and a XXL 3/2
>should do it -
>what about the 12th sruti - ooops ! some sort of a 16/11 may be ?
>the only thing I can think of is thirteen "3/2" giving a 8/5
>unless you prefer nine "3/2" giving a "5/4" ?
>or six "3/2" giving a "16/11", after all ?
>why don't you try something, it's your idea !

I shall, mon ami. I actually might end up doing a hybrid temperament (a
mix of JI, ET and perhaps even some nonJI/nonET intervals).
Or something like a cycle of 22 equal-beating 3rds [cents: 55.6, 110.7,
165.4...] irregularly-tempered or similarly a circle of 9 equal beating
7/6's...
::head swimming in numbers... *DiGiBuNGa!*::

---
Hanuman Zhang, the "Yves Klein Bleu Aardvark"

Brett Campbell writes:
>>"After prolonged exposure to the rich, kaleidoscopic world of microtones,
>>returning to equal-tempered music was for me like going back to black and
>>white after spending a weekend immersed in color".

NADA BRAHMA - Sanskrit, "sound [is the] Godhead"
LILA - Sanskrit, "divine play/sport/whimsy" - "the universe is what happens
when God wants to play" - "joyous exercise of spontaneity involved in the art
of creation"

czhang23@aol.com a �crit :

> Jac D. (aeh@free.fr) a �crit:
> >But why not, looks like a weird microtonal idea - a shy 5/4 and a XXL 3/2
> >should do it -
> >what about the 12th sruti - ooops ! some sort of a 16/11 may be ?
> >the only thing I can think of is thirteen "3/2" giving a 8/5
> >unless you prefer nine "3/2" giving a "5/4" ?
> >or six "3/2" giving a "16/11", after all ?
> >why don't you try something, it's your idea !
>
> I shall, mon ami. I actually might end up doing a hybrid temperament (a
> mix of JI, ET and perhaps even some nonJI/nonET intervals).
> Or something like a cycle of 22 equal-beating 3rds [cents: 55.6, 110.7,
> 165.4...] irregularly-tempered or similarly a circle of 9 equal beating
> 7/6's...
> ::head swimming in numbers... *DiGiBuNGa!*::

Hi Zhang,
New ideas after one night of rest about your 22-hybrid tones question :
To only swell the commas (to 50/49), and keep almost pure fifths, try
six � 3/2 � to give a 10/7 : x =1,500831 (it would give you backwards pure 7/5
as well of course, a very consonant interval as you know).

Now if you want to have seven � 3/2 � to give you a pure 13/12, use x =
1.503 083 667 � this 13/12 would replace the usual 16/15 apotomes
and it�s nice because a tetrachord 12 13 16 has all its difference tones in tune.
But since you would use slightly smaller fourths here, you can re-establish
the same differential coherence by using x =
1.503 050 145 648 (705.47177 c.). That�s half way between the srutis and 22 tet.
But I see there are already some nice ideas swimming in your head.