theorem Th92:
for
HPS being
Heptatonic_Pythagorean_Score for
frequency being
Element of
HPS holds
(
intrval (
(hepta_4 (HPS,frequency)),
(hepta_1 (HPS,(Octave (HPS,frequency)))))
= 3
/ 2 &
intrval (
(hepta_5 (HPS,frequency)),
(hepta_2 (HPS,(Octave (HPS,frequency)))))
= 3
/ 2 &
intrval (
(hepta_6 (HPS,frequency)),
(hepta_3 (HPS,(Octave (HPS,frequency)))))
<> 3
/ 2 &
intrval (
(hepta_octave (HPS,frequency)),
(hepta_4 (HPS,(Octave (HPS,frequency)))))
= 3
/ 2 )