Cents Table for 1/5 Pythagorean Comma Mean-Tone

C# Eb F# G# Bb
80.4 308.4 583.2 777.6 1005.6
0 194.4 388.8 502.8 697.2 891.6 1086 1200
C D E F G A B C

Size of 3rds
(Pure 3rd = 386 cents)
CE,DF#,EbG,EG#,FA,GB,AC#,BbD = 388.8 cents
(Pythagorean 3rd = 408 cents
C#F,F#Bb,G#C,BEb = 422.4 cents

Beats per second and frequencys for 1/5 Pythagorean Comma Mean-Tone
at A=440 hz

   These are approximate.F4351.4428
Lower Note  3rd above  4th above  5th above   You may get differentE4329.1068
Eb4 numbers on your calculator.   Eb4314.09
D4D4294.129
C#4C#4275.4359
C42.0842      middle C >>>>>>C4262.8686
B32.6712B3246.1623
Bb3The difference willBb3234.93
A32.3871.7864usually be somewhere inA3220
G#3/Ab3the decimal and will notG#3/Ab3 206.018
G31.55872.13341.5963effect figuring out beatsG3196.6181
F#3per second since theseF#3184.1223
F31.3931.90441.427are rounded off anyway.F3175.7214

F 1/5 C 1/5 G 1/5 D 1/5 A 1/5 E 1/5 B 1/5 F# 1/5 C# 1/5 G# * Eb 1/5 Bb 1/5 F
*Wolf interval between G# and Eb.
The wolf will move depending on how accidentals are tuned.

1/5 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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