Cents Table for Werckmeister III

C# Eb F# G# Bb
92 294 590 793 996
0 193 391.5 498 696.5 889.5 1093.5 1200
C D E F G A B C

Size of 3rds
(Pure 3rd = 386 cents)
CE,FA = 391.5 cents
DF#,GB,BbD = 397 cents
(Equal Tempered 3rd = 400 cents)
BD# = 400.5 cents
EG# = 401.5 cents
EbG,AC# = 402.5 cents
C#E#,F#A# = 406 cents
AbC = 407 cents
(Pythagorean 3rd = 408 cents)

Beats per second and frequencys for Werckmeister III
at A=440 hz

   These are approximate.F4350.9078
Lower Note  3rd above  4th above  5th above   You may get differentE4330.000
Eb4 numbers on your calculator.   Eb4311.9024
D4D4294.2456
C#4C#4277.5811
C44.09      middle C >>>>>>C4263.1809
B3B3247.5061
Bb3The difference willBb3233.9326
A32.73usually be somewhere inA3220
G#3/Ab3the decimal and will notG#3/Ab3 208.05
G36.152.441.82effect figuring out beatsG3196.7737
F#32.301per second since theseF#3185.0541
F32.73are rounded off anyway.F3175.4539

F - C ¼ G ¼ D ¼ A - E - B ¼ F# - C# * G#/Ab * Eb - Bb - F
*about ½ beat per second in C#G# and AbEb

WerckmeisterIII     Tuning and Temperaments     Early Music Institute    

I welcome any comments or suggestions, email me at psloffer@indiana.edu

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