Full 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 [email protected], 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 [email protected], "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 [email protected], "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.
[email protected] 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 [email protected], "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 [email protected], "Gene Ward Smith" <gwsmith@s...> wrote:
>
> --- In [email protected], "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 [email protected], "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
> --- In [email protected], "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 [email protected], "Gene Ward Smith" <gwsmith@s...> wrote:
>>
>> --- In [email protected], "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