Yes, near-perfect to perfect 12s sound good in the pianos they fit. Remember we're talking to someone who is *learning* to fit stuff in aurally. Maybe also telling Matthew how to aurally construct a P12 tuning would be helpful. JF On 8/22/07, Jason Kanter <jkanter at rollingball.com> wrote: > Double octave, yes. But within this, check all the twelfths -- they should > be as close to pure, beatless as possible and this will guarantee the right > amount of stretch. The test for a perfect 12th is a sixth below the lower > note. That is: to test C4-G5, use Eb3 against the C4 (a sixth that beats at > the frequency of G5) and Eb against G5 - should beat the same. This will > almost always give you an octave stretch that is the sweet spot between 4:2 > and 6:3. > Note - mathematically perfect ET twelfths in a world without inharmonicity > would be narrow. Inharmonicity stretches them. The spot of the perfect 12th > turns out to be a great choice for the stretch because the 3rd partial is > usually very strong. > > Perfect twelfths are also an excellent test up into the high treble.
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