Topic: My synchronous meantones

3 scales

Thread (8 messages)

From: Petr Pařízek (2005-11-13)
Subject: My synchronous meantones

Hi all.
Here I'm sending all the meantone tunings I decided to call "synchronous".
Two of these scales were made simply by copiing the values directly from my
calculator so sorry for so many decimal places there.
You may try them out if you wish and compare their differences in interval
synchronicity.
Petr

! syncmt1.scl
!
Synchronous meantone tuning for good minor triads
! June 2002 - Petr Parizek
! In this tuning, all the basic intervals (A-C, A-E, C-E) have equal beat
rates
 12
!
 70.66697
 191.61914
 312.57130
 383.23827
 504.19043
 574.85741
 695.80957
 766.47654
 887.42870
 1008.38086
 1079.04784
 2/1

! syncmt1a.scl
!
Synchronous meantone tuning for good major triads
! June 2002 - Petr Parizek
! In this tuning, C-A beats opposite of F-A
 12
!
 71.53770
 191.86792
 312.19813
 383.73583
 504.06604
 575.60375
 695.93396
 767.47166
 887.80187
 1008.13208
 1079.66979
 2/1

!syncmt2.scl
!June 2002 - Petr Parizek
Synchronous meantone tuning #2 for good major triads
!In this tuning, all the basic intervals (C-E, C-G, E-G) have equal beat
rates
!
12
!
69.4130606789857
191.26087447971
313.108688280435
382.52174895942
504.369562760145
573.782623439131
695.630437239855
765.043497918841
886.891311719565
1008.73912552029
1078.15218619928
2/1

!syncmt3.scl
!June 2004 - Petr Parizek
!In this tuning, C-F and C-A have equal beat rates.
!
Synchronous Meantone Tuning 3
12
!
74.07088
192.59168
311.11248
385.18336
503.70416
577.77504
696.29584
770.36672
888.88752
1007.40832
1081.4792
2/1

!syncmt4.scl
!August 2004 - Petr Parizek
!In this tuning C-G beats twice as fast as C-E
!
Synchronous meantone tuning 4
12
!
73.0013053277789
192.286087236508
311.570869145238
384.572174473017
503.856956381746
576.858261709525
696.143043618254
769.144348946033
888.429130854762
1007.71391276349
1080.71521809127
2/1

! syncmt5.scl
!
Synchronous meantone tuning 5
! November 2005 - Petr Parizek
! In this tuning, C-A beats twice C-E opposite and also E-A beats 50% faster
than C-A.
 12
!
 72.62333
 192.17809
 311.73286
 384.35619
 503.91095
 576.53428
 696.08905
 768.71237
 888.26714
 1007.82191
 1080.44523
 2/1

From: wallyesterpaulrus (2005-11-14)
Subject: Re: My synchronous meantones

--- In tuning@yahoogroups.com, Petr Paøízek  wrote:

> !June 2002 - Petr Parizek
> Synchronous meantone tuning #2 for good major triads
> !In this tuning, all the basic intervals (C-E, C-G, E-G) have equal 
beat
> rates
> !
> 12
> !
> 69.4130606789857
> 191.26087447971
> 313.108688280435
> 382.52174895942
> 504.369562760145
> 573.782623439131
> 695.630437239855
> 765.043497918841
> 886.891311719565
> 1008.73912552029
> 1078.15218619928
> 2/1

Shouldn't this be the same as Wilson's Metameantone?

From: Gene Ward Smith (2005-11-15)
Subject: Re: My synchronous meantones

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:

> Shouldn't this be the same as Wilson's Metameantone?

It is Wilson meantone; I thought metameantone invovled a convertent
approximation. This is meaneb471.scl from the Scala archives, only to
more decimal places of accuracy.

From: Petr Parízek (2005-11-15)
Subject: Re: [tuning] Re: My synchronous meantones

Hi Gene.

> --- In tuning@yahoogroups.com, "wallyesterpaulrus"
> <wallyesterpaulrus@y...> wrote:
>
> > Shouldn't this be the same as Wilson's Metameantone?
>
> It is Wilson meantone; I thought metameantone invovled a convertent
> approximation. This is meaneb471.scl from the Scala archives, only to
> more decimal places of accuracy.

Yes, that's what I realized last year when I was consulting beat rates with
you. The strange thing about this is that even though I usually like
synchronicity very much, this particular tuning do I like least of all
indeed. I believe it's because of the fast beats in the fifths.

Petr

From: Kraig Grady (2005-11-15)
Subject: Re: Re: My synchronous meantones

Metameantone can be approached by either using just the convergence or 
using a numerical seed which gives one all forms of subtle variations.It 
is not really designed to play ancient music and best once one gets to 
19 places anyways.
tuning@yahoogroups.com wrote:

>-
>
>Message: 8         
>   Date: Tue, 15 Nov 2005 09:39:25 +0100
>   From: Petr Par\ufffdzek 
>Subject: Re: Re: My synchronous meantones
>
>Hi Gene.
>
>  
>
>>--- In tuning@yahoogroups.com, "wallyesterpaulrus"
>> wrote:
>>
>>    
>>
>>>Shouldn't this be the same as Wilson's Metameantone?
>>>      
>>>
>>It is Wilson meantone; I thought metameantone invovled a convertent
>>approximation. This is meaneb471.scl from the Scala archives, only to
>>more decimal places of accuracy.
>>    
>>
>
>Yes, that's what I realized last year when I was consulting beat rates with
>you. The strange thing about this is that even though I usually like
>synchronicity very much, this particular tuning do I like least of all
>indeed. I believe it's because of the fast beats in the fifths.
>
>Petr
>
>
>  
>
>
>  
>

-- 
Kraig Grady
North American Embassy of Anaphoria Island 
The Wandering Medicine Show
KXLU  88.9 FM Wed 8-9 pm Los Angeles

From: wallyesterpaulrus (2005-11-15)
Subject: Re: My synchronous meantones

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
>
> --- In tuning@yahoogroups.com, "wallyesterpaulrus"
> <wallyesterpaulrus@y...> wrote:
> 
> > Shouldn't this be the same as Wilson's Metameantone?
> 
> It is Wilson meantone; I thought metameantone invovled a convertent
> approximation.

Convergent? Yes; John Chalmers and others led me to believe that the 
converged tuning is called metameantone or meta-meantone, quite a few 
years ago.

(This *is* the tuning the "approximation" (as you call it above) 
converges to, isn't it?)

> This is meaneb471.scl from the Scala archives, only to
> more decimal places of accuracy.

What does Scala call it?

From: Gene Ward Smith (2005-11-15)
Subject: Re: My synchronous meantones

--- In tuning@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
> --- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

> > This is meaneb471.scl from the Scala archives, only to
> > more decimal places of accuracy.
> 
> What does Scala call it?

"Equal beating 5/4 = 3/2 same. Almost 5/17-comma."

From: Kraig Grady (2005-11-15)
Subject: Re: My synchronous meantones

the papers on metameantone are here
http://www.anaphoria.com/meantone-mavila.PDF



Subject: Re: My synchronous meantones

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

>>
>> --- In tuning@yahoogroups.com, "wallyesterpaulrus"
>> <wallyesterpaulrus@y...> wrote:
>> 
>  
>
>>> > Shouldn't this be the same as Wilson's Metameantone?
>>    
>>
>> 
>> It is Wilson meantone; I thought metameantone invovled a convertent
>> approximation.
>  
>
Convergent? Yes; John Chalmers and others led me to believe that the 
converged tuning is called metameantone or meta-meantone, quite a few 
years ago. (This *is* the tuning the "approximation" (as you call it 
above) converges to, isn't it?)

>> This is meaneb471.scl from the Scala archives, only to
>> more decimal places of accuracy.
>  
>
What does Scala call it?
-- 
Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main.html> 88.9 FM Wed 8-9 pm Los Angeles