> --- In tuning@yahoogroups.com, "Tom Dent" <stringph@> wrote:
>
Hi George, Tom & all others,
...just compare my actual refined 'squiggle' versus your similar...
>...old suggestion:

313 > E 315
334 > F 335
352 > F# 354
375 > G 376
396 > G# 398
418 > A 421 cps or Hz
445.5 > Bb 447
469.5 > B 472
501 > C 502
528 > C# 531
560 > D 563
594 > Eb 597

!squiggle418cps.scl
12
Sparschuh's 2008 Cammerton a4=418Hz 'squiggle'
176/167 ! C#
560/501 ! D
198/167 ! Eb
626/501 ! E = (5/4)*(2504/2505)
4/3 ! F
704/501 ! F#
250/167 ! G = (3/2)*(500/501)
264/167 ! G#
839/501 ! A
297/167 ! Bb
313/167 ! B
2/1

obtained from tempering some 5ths sharper than pure by the amounts:
C 500/501 G 374/375 D 224/225 A 209/201 E 626/627 B 2816/2817 F#...
...F# - C# - G# - Eb - Bb 2672/2673 F - C.
>

> George's proposal:
> 364, 384, 408, 432, 456, 486, 512, 545, 576, 610, 648, 683, 728:
>
> ! WTPB-24c.scl
> !
> George Secor's 24-triad proportional-beating well-temperament (24c)
> 12
> !
> 96/91
> 102/91
> 108/91
> 114/91
> 243/182
> 128/91
> 545/364
> 144/91
> 305/182
> 162/91
> 683/364
> 2/1
>
that sounds really fine,
works similar on 91=13*7 alike my HIP:
http://en.wikipedia.org/wiki/Historically_informed_performance
Contius reconstruction:

F: 3^6 = 729 ( > 728 364 182 91 = 13*7 )
C: 3*91 = 273
G: (3*273 = 819 1638 >) 1637 ( > 1632 816 408 204 102 51)
D: (51*3 = 153 306 612 >) 611 ( >608 304 152 76 38 19)
A: 19*3 = 57
E: (57*3 = 171 342 684 >) 683
B: (3*683 = 2049 >) 2048 ... 1=3^0
F# 3
C# 9 = 3^2
G# 27 = 3^3
Eb 81 = 3^4
Bb 243 = 3^5
F: 729 = 3^6

all 5ths inbetween the accidentials or nominals are just 3/2 pure.

!ContiusHIP.scl
12
HIP reconstruction of Contius organ-tuning in Halle by A. Sparschuh
192/91 ! C#
611/546 ! D
108/91 ! Eb
683/546 ! E = (5/4)*(1366/1365)
243/182 ! F
128/91 ! F#
1637/1092 ! G = (3/2)*(1637/1638)
144/91 ! G#
456/273 ! A Choir-tone 456cps or Hz
162/91 ! Bb
512/273 ! B
2/1
!

Which one of that ones would you prefer or even improve?

A.S.