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A Rational Well Temperament   Message List  
Reply | Forward Message #76060 of 85346 |
getting rid of the broade dog-5th defect by bug fixing, wasRe:Rational Well Temp

--- In tuning@yahoogroups.com, "George D. Secor" <gdsecor@...> wrote:

> I found a WT with simpler brats (with one 5th tempered 4.62c narrow):
>
> ! SecorSWT149
> George Secor's 149-based synchronous WT
> 12
> !
> 315/298
> 167/149 ! D
> 177/149
> 187/149 ! E
> 199/149 ! F
> 210/149
> 223/149 ! G
> 236/149
> 250/149 ! A
> 265/149 ! Bb or proposal 531/298 in order to avoid here an dog-5th?
> 280/149 ! B
> 2/1
>
> I originally found this one with 167 as a common denominator, with
> the best major triad on Bb, so I transposed the ratios to put it on >C.
Dear George,

as cycle of 5ths:
C 149
g: (447>) 446 G=223
d: (669>) 668 334 D=167
a: (501>) 500 A=250 125
e: (375>) 374 E=187
b: (561>) 560 B=280 140 70 35
f# 210 105
c# 315
g# (945>) 944 472 G#236 118 59
Eb 177
???????????????????????????????????????????????????????????????????
bb (531>) 530 Bb=265 ??????????????????????????????????????????????
F: (795<) 796 398 F=199 did you really intend here an broade dog-5th?
???????????????????????????????????????????????????????????????????
c: (597>) 596 298 149

In order to get rid of the buggy wide dog-5th inbetween Bb and F,
there i do reccomend to arise Bb a little bit, so that Brad
Lehman's overtempering defect vanishes, simply in replacing
the formerly old Bb 265 by
the new more apt higher value: 265.5 := 531/2
....
Eb 177
bb 531 Bb=265.5
F: (1593>) 1592 796 398 F=199
c: (597>) 596 298 C=149

Do you agree with that improving suggestion?
http://launch.groups.yahoo.com/group/tuning/message/71930

Yours Sincerely
A.S.




Fri Apr 25, 2008 7:16 pm

a_sparschuh
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Message #76060 of 85346 |
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... and ... two ... are ... the ... not ... I should have said 4.7 cents. That's the maximum amount the fifths are tempered in my 5/23-comma temperament...
George D. Secor
gdsecor
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Apr 24, 2008
8:52 pm

... Dear George, as cycle of 5ths: C 149 g: (447>) 446 G=223 d: (669>) 668 334 D=167 a: (501>) 500 A=250 125 e: (375>) 374 E=187 b: (561>) 560 B=280 140 70 35 ...
Andreas Sparschuh
a_sparschuh
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Apr 25, 2008
7:16 pm

... 5th? ... with ... on >C. ... 5th? ... Yes, that's very good. Thank you for spotting that! --George...
George D. Secor
gdsecor
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Apr 28, 2008
5:07 pm

(This replaces message #76092, which I've deleted, because there was an error in the .scl listing.) ... of ... yet, ... is ... & ... I've found a way to make...
George D. Secor
gdsecor
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Apr 29, 2008
6:22 pm

... Hi George, Tom & all others, ... Did you mean by that following corresponding absolute pitches, or which other frequncies had you concrete in mind when ...
Andreas Sparschuh
a_sparschuh
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Apr 23, 2008
3:58 pm

... Secor) ... I didn't intend any particular absolute pitches when giving these ratios. I expected that you would use whatever pitch reference you like. ...
George D. Secor
gdsecor
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Apr 23, 2008
5:04 pm

... Hi George, Tom & all others, ... starting in chromatically order from: http://en.wikipedia.org/wiki/Middle_C ... I.m.h.o. any tuning for a conrete...
Andreas Sparschuh
a_sparschuh
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Apr 24, 2008
2:45 pm

... extremely ... A=440 is my preference. (I see no reason why the frequencies of all of the pitches should be exact integers.) With most well- temperaments...
George D. Secor
gdsecor
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Apr 24, 2008
9:04 pm

... at the moment i do prefer from Werckmeister's septenarian comma versus the SC 81/80 = (99/98)*(441/440) divided into 3 epimoric subparts: 99/98 =...
Andreas Sparschuh
a_sparschuh
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Apr 25, 2008
7:54 pm

... all ... A=440; ... C' ... 294/295 ... Either I don't understand this, or something is very wrong with the numbers. The fifths D-A and A-E are tempered >23...
George D. Secor
gdsecor
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Apr 28, 2008
5:25 pm

... 11-limit septenarian comma versus the SC ... 3^4/5/16 = (11*3^2/7^2/2)*(7^2*3^2/11/5/2^3) i do call the ratio: 441/440 ...
Andreas Sparschuh
a_sparschuh
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May 2, 2008
7:51 pm

... I believe there are still a few mistakes. From the sizes of the fifths you give, I think that perhaps you meant this: 558/529 ! C# 592/529 ! D ...
George D. Secor
gdsecor
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May 2, 2008
9:26 pm

... Hi George, ... in deed, even that *.scl-file contained some unfixed bug. ... Many thanks again for that repair. ... when considering more evaluated digits,...
Andreas Sparschuh
a_sparschuh
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May 8, 2008
5:27 pm

... Me too. It's a well-temperament only in the less strict sense that there is no harmonic waste. ... And there are fairly simple beating ratios for other...
Kalle Aho
kalleaho
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Apr 11, 2008
11:23 am

... negative ... Well, I think there's more to it than that. The four best major 3rds all occur consecutively on one side of the circle of 5ths, so there is a...
George D. Secor
gdsecor
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Apr 11, 2008
5:34 pm

... Hey, Kalle, you are from Finland? I wanted to learn Finnish about two years ago but I never did it systematically or regularly so it went terribly slowly....
Petr Parízek
p.parizek@...
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Apr 12, 2008
9:08 am

... Hi Petr, yes I am, originally from western Finland from the region of Ostrobothnia, now living in Helsinki. ... eastern Finland? I don't think this...
Kalle Aho
kalleaho
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Apr 13, 2008
1:03 pm

I am curious about the difference between eastern and western finland music! ,',',',Kraig Grady,',',', '''''''North/Western Hemisphere: North American Embassy...
kraiggrady@...
banaphshu
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Apr 12, 2008
10:02 am

... finland music! Hi Kraig, I suggest you read my reply to Petr....
Kalle Aho
kalleaho
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Apr 13, 2008
1:04 pm

... IIRC, western Finland was occupied by Swedes for quite some time and folk melodies from western Finland remind me of something between Swedish and Irish...
Petr Parízek
p.parizek@...
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Apr 12, 2008
10:25 am

... finland music! ... and folk melodies from western Finland remind me of something between Swedish and Irish music. As far as I could find out on the web, ...
Kalle Aho
kalleaho
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Apr 13, 2008
1:07 pm

well this makes sense as the so called british are really the result ofa bunch of vikings who kicked their ass and a few of the real britishare in Ireland. I...
kraiggrady@...
banaphshu
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Apr 12, 2008
10:58 am

... result ofa bunch of vikings who kicked their ass and a few of the real britishare in Ireland. I have no objection to swedish or noewegian musicthough as...
lenderbee
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Apr 13, 2008
10:34 pm

... AFAIK, the hardanger fiddle has eight (or nine?) strings, only four of which are meant to be played. The rest are short resonating strings tuned to some...
Petr Parízek
p.parizek@...
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Apr 12, 2008
2:53 pm
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