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The pic. illustrates Andreas Sparschuh's
reinterpretation of JSBs heraldic signet
MGG1 Vol.1, p.1041 (Jg.1949)

Pitch, frequency := . . . prime-factorization
.A . 1025/9 . . . . .:= . . . 41 * 5^2 / 3^2
.E . 1025/3 . . . . .:= . . . 41 * 5^2 / 3 . .
.B . 1025 . . . . . . := . . . 41 * 5^2 . . . . .
F# 3
C# 9 . . . . . . . . . .:= . . . . . . . . . . . . 3^2
G# 27 . . . . . . . . := . . . . . . . . . . . . 3^3
D# 81 . . . . . . . . := . . . . . . . . . . . . 3^4
Bb 243. . . . . . . . := . . . . . . . . . . . . 3^5
.F . 205/9 . . . . . .:= . . . 41 * 5 . ./ 3^2
.C . 205/3 . . . . . .:= . . . 41 * 5 . ./ 3 . .
.G . 205 . . . . . . . := . . . 41 * 5 . . . . . . . .
.D . 153 . . . . . . .:= 17 . . . . . . . . * 3^2

That results in ascending order:

.C . 273+1/3 cps middle C
C# 288
.D . 306
.E . 341+2/3
.F . 364
F# 384
.G . 410 ~coeval Cammerton
G# 432
.A . 455+4/9cps ~Choirtone
Bb 486
.B . 512.5

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  • Dec 14, 2005
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