Two new meantone fifths (to be added to Scala)

These meantone fifths produce M3/5th brats that are deliciously simple:

1.494001479 = 695.017891604 cents

(This one produces 3/2 brats. It is practically Lucytuning... but dare I say, with better results.)

1.4945301804796696 = 695.63043723985534 cents

(This one produces exactly 1 brats.)

Oz.

--- In tuning@yahoogroups.com, Ozan Yarman <ozanyarman@...> wrote:

> 1.4945301804796696 = 695.63043723985534 cents
>
> (This one produces exactly 1 brats.)

Also known as Erv Wilson's "metameantone". -Carl

2008/12/22 Carl Lumma <carl@...>:
> --- In tuning@yahoogroups.com, Ozan Yarman <ozanyarman@...> wrote:
>
>> 1.4945301804796696 = 695.63043723985534 cents
>>
>> (This one produces exactly 1 brats.)
>
> Also known as Erv Wilson's "metameantone". -Carl

metamean.scl in Scala

Ah, it is a splendid meantone! Glad to know a prodigious theorist discovered it before I did.

Oz.

On Dec 22, 2008, at 6:17 AM, Graham Breed wrote:

> 2008/12/22 Carl Lumma <carl@...>:
>> --- In tuning@yahoogroups.com, Ozan Yarman <ozanyarman@...> wrote:
>>
>>> 1.4945301804796696 = 695.63043723985534 cents
>>>
>>> (This one produces exactly 1 brats.)
>>
>> Also known as Erv Wilson's "metameantone". -Carl
>
> metamean.scl in Scala

The thing that might also be interesting for you Ozan is that there is also and recurrent sequence that converges on this.
see
http://anaphoria.com/meantone-mavila.PDF

so if there were certain ratios you wanted you could use them to seed a bigger scale. this is what i did with the piece Beyond the Windows.
sample here http://anaphoria.com/BeyondWindowsExcerpt.mp3
where the triad 54 67 80 was used prominently.

(there is also another formula which generates the contrary meantone which can be found on page 9)

on a reed organ I had this scale tuned up to 12 places (see page 4 )starting on 16 which gives on a 5 limit just major but was not satisfied with the sound. It being similar to my centaur tuning? but with 5 tones about 10 cents flatter. i was too used to the former and/or maybe the just major defines itself so strong to have the brain rethink what was going on might had been too much. possibly with more time this might had become its access

When i mentioned this to Erv though he said he had to take it out at least 19 places before he got what he wanted from it. i mention that as possibly saving you some time with the little mapping of this territory that has been done with at least some perspectives.

I have also wanted to try out the subharmonic series of this, which i have done a bit electronically but really haven't lived with that long enough to say much useful yet.

Ozan Yarman
...> wrote:

> 1.4945301804796696 = 695.63043723985534 cents
>
> (This one produces exactly 1 brats.)

Also known as Erv Wilson's "metameantone". -Carl
--

/^_,',',',_ //^ /Kraig Grady_ ^_,',',',_
Mesotonal Music from:
_'''''''_ ^North/Western Hemisphere: North American Embassy of Anaphoria Island <http://anaphoria.com/>

_'''''''_ ^South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria <http://anaphoriasouth.blogspot.com/>

',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

In 2002, I made yet another "synchronous" meantone suggestion where the minor sixth was beating exactly the opposite of the minor third -- or the same went for a falling major third and a falling major sixth. The only disadvantage here, IIRC, was that C-F was beating 7/5-times faster than both C-A and F-A. Manuel later told me this was pretty close to 7/25-comma meantone. For those who might be interested, the minor second there is ~120.3302118992214 cents.

Petr

Hi Ozan,
Yes the second one is Erv Wilson's Metameantone,
and the first one I already found, it verifies x^4 = 3x + 1/2
and is the mean algorithm between Erv's Metameantone
and my own Metameantone =
1,4933585565602 ( x^4 = 4x - 1 )

Which both were discussed in this list on March 10, 2003

- - - - - - - - - - -
Jacques Dudon

le 22/12/08 4:56, Ozan Yarman à ozanyarman@... a écrit :

These meantone fifths produce M3/5th brats that are deliciously simple:

1.494001479 = 695.017891604 cents

(This one produces 3/2 brats. It is practically Lucytuning... but dare
I say, with better results.)

1.4945301804796696 = 695.63043723985534 cents

(This one produces exactly 1 brats.)

Oz.

Excellent Jacques,

Merry Christmas!
Oz.

On Dec 24, 2008, at 1:15 PM, Jacques Dudon wrote:

> Hi Ozan,
> Yes the second one is Erv Wilson's Metameantone,
> and the first one I already found, it verifies x^4 = 3x + 1/2
> and is the mean algorithm between Erv's Metameantone
> and my own Metameantone =
> 1,4933585565602 ( x^4 = 4x - 1 )
>
> Which both were discussed in this list on March 10, 2003
>
> - - - - - - - - - - -
> Jacques Dudon
>
>
> le 22/12/08 4:56, Ozan Yarman à ozanyarman@... a écrit :
>
>> These meantone fifths produce M3/5th brats that are deliciously
>> simple:
>>
>> 1.494001479 = 695.017891604 cents
>>
>> (This one produces 3/2 brats. It is practically Lucytuning... but
>> dare
>> I say, with better results.)
>>
>> 1.4945301804796696 = 695.63043723985534 cents
>>
>> (This one produces exactly 1 brats.)
>>
>> Oz.
>