Ric,
I neglected to read the end of your post. I don't know if this will be useful, and it
doesn't account for inharmonicity.
(intervals are in hz)
m6=ABS({[4*(M3)]+[(8-5)*(P1)]}/-5)
Letting P1=440hz with a just M3=550hz (386.31c), m6=704hz (813.69c)
or a 12tET M3=554.37hz (400c), m6=707.5hz (822c)
in the latter case the upper M3=880hz:707.5hz is 377.75c
How are you determining the other intervals? I'm interested to see what you're up to.
Clark
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