Fwd: [tuning] New (Improved!) Temperament (Extra)ordinare

There really is something wrong with the keys of my Yamaha P-200.
Either time to buy a full fledged MIDI controller, or take out the can
of grease. :)

Oz.

✩ ✩ ✩
www.ozanyarman.com

Begin forwarded message:

> From: Ozan Yarman <ozanyarman@...>
> Date: April 30, 2010 6:52:07 AM GMT+03:00
> To: tuning@yahoogroups.com
> Cc: MakeMicroMusic@yahoogroups.com
> Subject: Re: [tuning] New (Improved!) Temperament (Extra)ordinare
>
> Actually, I find it a breath of fresh air compared to the> unpalatable tones of 12-equal.
>
> Here are two more amateurish executions in this tuning:
>
> http://www.ozanyarman.com/files/music/2partinventionBach.mp3
>
> http://www.ozanyarman.com/files/music/G#Prelude_Bach.mp3
>
> Excuse the mistakes! I was too tired and worn out playing.
>
> Oz.
>
> ✩ ✩ ✩
> www.ozanyarman.com
>
> On Apr 30, 2010, at 4:21 AM, Chris Vaisvil wrote:
>
>> The improvisation is great but doesn't sound very different from 12
>> tet.
>>
>> Not that that is a bad thing - I think what it means is that this
>> well
>> balanced tuning to my ears.
>>
>>
>> Chris
>>
>> On Thu, Apr 29, 2010 at 7:34 PM, Ozan Yarman <ozanyarman@...
>> > wrote:
>>>
>>>
>>>
>>> Dear George, sorry for replying so late! Yes, I am trying this new
>>> tuning now >
>>> After >35 years of tweaking & tinkering with 12-tone circulating
>>> temperaments, I thought that my 5/23-comma temperament
>>> (extra)ordinaire, version of November 2008, would be the very best
>>> I could do. Lo & behold: when I looked at the numbers the other
>>> day (2 April), I found a way to lower the error of the flat-wise
>>> chords to make them balanced with the sharp-wise ones (by changing
>>> 2 pitches, Eb & Bb), without sacrificing the overall
>>> proportionality of the beat rates. (This results in a smoother
>>> and more symmetrical progression of interval sizes as you go
>>> around the circle of 5ths.) Formerly there were 5, but there are
>>> now 6 major triads with <8.22 cents error in the major 3rd, a
>>> significant improvement over 12-equal that you can readily hear.
>>>
>>> Here's the Scala listing:
>>>
>>> ! Secor5_23TX.scl
>>> !
>>> George Secor's synchronous 5/23-comma temperament extraordinaire
>>> 12
>>> !
>>> 62/59
>>> 66/59
>>> 70/59
>>> 591/472
>>> 315/236
>>> 331/236
>>> 353/236
>>> 745/472
>>> 395/236
>>> 1051/590
>>> 221/118
>>> 2/1
>>>
>>> The major triads on the far side of the circle will not be very
>>> suitable as tonic chords, but they're all usable for temporary
>>> modulations, and their high 3rds make wonderful leading tones in
>>> minor keys (esp. in E minor & B minor).
>>>
>>> --George
>>>
>>>
>>>
>>>
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>>
>>
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>