--- In tuning@yahoogroups.com, "Jon Szanto" <jszanto@...> wrote:
>
> If one were to compose some music that would be a backdrop to
> Victorian England....
Just try that modern trial of attempting to remake that style:

in 5ths:
-6: _ _ _ Ab 415 Hz < 416 208 204 102
-5: _ _ _ Eb 312 156 78
-4: _ _ _ Bb 234 117
-3: 351 > F_ 350 175
-2: 525 > C_ 524 262 131
-1: _ _ _ G_ 393 > 392 196 98
00: _ _ _ D_ 294 147
+1: 441 > A_ 440 220 110
+2: 330 > E_ 329 > 328 164 82
+3: _ _ _ B_ 246 123
+4: 369 > F# 368 184 92
+5: _ _ _ C# 276 138
+6: 414 > G# 415 Hz

yields recombined in ascending order:

+1: A3 220 Hz
-4: Bb 234
+3: B3 246
-2: C4 262 'middle-C'
+5: C# 276
00: D4 294
-5: Eb 312
+2: E4 329
-3: F4 350
+4: F# 368
-1: G4 393
+6: G# 415
+1: A4 440 Hz

> Bonus points if you can post data in .scl
> format or give me the name in the Scala tuning archives...
>
!neoVictorian.scl
!
middle-C4 = 262 Hz or A4 = 440 Hz
!
12
!
138/131 ! C#
147/131 ! D
156/131 ! Eb
329/262 ! E
415/262 ! F
393/262 ! F#
415/262 ! G
220/131 ! A
234/131 ! Bb
246/131 ! B
2/1
!
!

sharpnesses of the 3rds
on the empty violin strings:
1:G 2:D 3:A 4:E

1: G < B < < Eb < G.
absolute pitches:
G_ 393 = 131*3
5*131*3= 3*655 < 656*3 328*3 164*3 82*3 41*3 = B 123 < 124 62 31
5 * 31 = 155 < Eb 156 78 = 26*3
5*26*3 = 3*130 < 131*3 = G 393.

That results in the relative diesis 128/125 subdistribution:
G 656/655 B 69.333.../68.333... Eb 131/130 G.


2: D < F# < Bb < D.
abs:
D 147
5*147 = 735 < F# 736 368 ... 46 23
5* 23 = 115 < B 117 = 39*3
5*39*3= 3*195 < 196*3 98*3 49*3 = D 147.
rel:
D 736/735 F# 58.5/57.5 B 196/195 D.


3: A < C# < < F < A.
abs:
A 55
5* 55 = 275 < C# 276 139 69 < 70 35
5* 35 = 175 < F 176 88 44 22 11
5* 11 = A 55.
rel:
A 276/275 C# 70/69 F 176/175 A.


4: E < < G# < C < E.
abs:
E 329 < 330 165 < 166 83
5*83 = G# 415 < 416 208 ... 52 26
5*26 = 130 < C 131
5*131= 655 < E 658 329.
rel:
E 110.666../109.666.. G# (17/21+99)/(98+17/21) C 219.333../218.333.. E

~Cents approx. distribution of the 4 diesises
represented as 3rds sharpnesses:


1: G<3<B_<<<<<<<<<<<<25<<<<<<<<<<<Eb<<<<<<13<<<<<C.
2: D<2F#<<<<<<<<<<<<<<30<<<<<<<<<<<<<<Bb<<<<9<<<<G.
3: A<<<6<<C#<<<<<<<<<<<<25<<<<<<<<<<<F_<<<<10<<<<A.
4: E<<<<<<<16<<<<<<<G#<<<<<<<<17<<<<<C_<<<<<13<<<E.


slightly different from 12-EDO with all 3rds ~14Cents same sharp.

For those who like meantonic harmonic 7ths 7/4 Eb>C#
Attend:
7*Eb/C# is barely 92/91 ~18.9Cents sharp
-still yet used in Victorian era -
instead ~32.2C in 12-EDO.

have a lot of fun with that
A.S.