Cents Table for ¼ Syntonic Comma Mean-Tone

C# Eb F# G# Bb
75.5 310.5 579 772 1007
0 193 386 503.5 696.5 889.5 1082.5 1200
C D E F G A B C

Size of 3rds

(Pure 3rd = 386 cents)
CE,DF#,EbG,EG#,FA,GB,AC#,BbD = 386 cents
(Pythagorean 3rds = 408 cents)
C#F,F#Bb,G#C,BEb = 428 cents

Beats per second and frequencys for ¼ Comma Mean-Tone
at A=440 hz

   These are approximate.F4351.999
Lower Note  3rd above  4th above  5th above   You may get differentE4328.977
Eb4 numbers on your calculator.   Eb4314.8372
D4D4294.2456
C#4C#4275.0006
C40      middle C >>>>>>C4263.1809
B33.0602B3245.9677
Bb3The difference willBb3235.3958
A32.73682.046usually be somewhere inA3220
G#3/Ab3the decimal and will notG#3/Ab3 205.611
G302.44791.8299effect figuring out beatsG3196.7737
F#3per second since theseF#3183.9039
F302.18941.6367are rounded off anyway.F3175.9995

F ¼ C ¼ G ¼ D ¼ A ¼ E ¼ B ¼ F# ¼ C# ¼ G# * Eb ¼ Bb ¼ F
*Wolf interval between G# and Eb.
The wolf will move depending on how accidentals are tuned.

¼ Comma Mean-Tone     Tuning and Temperaments     Early Music Institute    

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

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