Cents Table for 1/6 Pythagorean Comma Mean-Tone
| C# | Eb | F# | G# | Bb |
| 86 | 306 | 588 | 784 | 1004 |
| 0 | 196 | 392 | 502 | 698 | 894 | 1090 | 1200 |
| C | D | E | F | G | A | B | C |
Size of 3rds
(Pure 3rd = 386 cents)
CE,DF#,EbG,EG#,FA,GB,AC#,BbD = 392 cents
(Equal Tempered 3rd = 400 cents
(Pythagorean 3rd = 408 cents)
C#F,F#Bb,G#C,BEb = 416 cents
Beats per second and frequencys for 1/6 Pythagorean Comma Mean-Tone
at A=440 hz
| These are approximate. | F4 | 350.8058 | |||||||
| Lower Note | 3rd above | 4th above | 5th above | You may get different | E4 | 329.2553 | |||
| Eb4 | numbers on your calculator. | Eb4 | 313.2357 | ||||||
| D4 | D4 | 293.9949 | |||||||
| C#4 | C#4 | 275.936 | |||||||
| C4 | 4.4677 | middle C >>>>>> | C4 | 262.85107 | |||||
| B3 | 2.2231 | B3 | 246.3857 | ||||||
| Bb3 | The difference will | Bb3 | 234.3981 | ||||||
| A3 | 1.9847 | 1.4894 | usually be somewhere in | A3 | 220 | ||||
| G#3 | the decimal and will not | G#3/Ab3 | 206.4863 | ||||||
| G3 | 3.3433 | 1.7725 | 1.3299 | effect figuring out beats | G3 | 196.4399 | |||
| F#3 | per second since these | F#3 | 184.3734 | ||||||
| F3 | 2.9855 | 1.1873 | are rounded off anyway. | F3 | 175.4029 |
F 1/6 C 1/6 G 1/6 D 1/6 A 1/6 E 1/6 B 1/6 F# 1/6 C# 1/6 G# * Eb 1/6 Bb 1/6
F
*Wolf interval between G# and Eb.
The wolf will move depending on how accidentals are tuned.
I welcome any comments or suggestions, email me at psloffer@indiana.edu
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