Cents Table for Kirnberger III

C# Eb F# G# Bb
90 294 590 792 996
0 193 386 498 696.5 889.5 1088 1200
C D E F G A B C

Size of 3rds

(Pure 3rd = 386 cents)
CE = 386 cents
FA,GB = 391 cents
DF#,BbD = 397 cents
(Equal Tempered 3rd = 400 cents)
AC# = 400.5 cents
EbG = 402.5 cents
EG#,F#B#,BD# = 406 cents
C#E#,AbC = 408 cents
(Pythagorean 3rd = 408 cents)

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

   These are approximate.F4350.9078
Lower Note  3rd above  4th above  5th above   You may get differentE4328.977
Eb4 numbers on your calculator.   Eb4311.9025
D4D4294.2456
C#4C#4277.2567
C40      middle C >>>>>>C4263.1809
B3B3246.7389
Bb3The difference willBb3233.9327
A3usually be somewhere inA3220
G#3/Ab3the decimal and will notG#3/Ab3 207.9350
G33.08effect figuring out beatsG3196.7737
F#3per second since theseF#3185.0588
F32.73are rounded off anyway.F3175.4539

F - C ¼ G ¼ D ¼ A ¼ E - B - F# = C# - G# - Eb - Bb - F

Kirnberger III     Tuning and Temperaments     Early Music Institute    

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

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