Information II

Mike,

The calculation consists in applying the method used before if necessary. Should the 12 Tet intervals are cells of the progression or they are very close to them, the 12 tones are consonant, in this case it's no longer necessary to work with table IX A.

Since the 12 tempered intervals are equal to 2^(1/12) = 1.05946309436 factor (IF), their consonance or dissonance property coincide.

In the progression of cells, Cell # 51 is very close to IF. The error is - 0.00000078337 that can be neglected. So the 12 interval factors and tones of the 12 Tet scale are consonant.

M....47....1.0546875
M....48....1.05587840080
J....49....1.05707299111
J....50....1.05826893295
M....51....1.05946387773
M....52....1.06066017178

The very small error impedes the use of table IX A used to confirm the consonance of 1.75.

Mario

January, 21