I agree entirely Jason
I use what amounts to the 5:4:3:2: and 1: partials to achieve an aural
perfect 12ths tuning all the time. The control note is the one with the
5th partial. If for example you are tuning C6, then A#3 is the control
note and you will be comparing beat rates of C4, F4, C5 and C6.
Its late here so I'll post a complete routine for aurally doing this
tommorrow
Cheers
RicB
Essentially this yields placing your octave stretch consistently.
There are some powerful arguments for using perfect 3:1. Because ET
fifths
(and twelfths) are contracted, but pianos need stretch, the perfect 3:1
brings these two factors into alignment -- the beating twelfths become
beatless and the resulting stretch handles the inharmonicity of the
octaves.
All Baldassin's work is about aligning harmonics -- we generally
hear the
3rd partial pretty strongly, and if it's perfect that can make for a
very
nice tuning. Look in the archives for P12.
Jason
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