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All:

Let me try to make something clear. If a 12th is tuned pure, the 15th will beat the same speed as the implied 4th. And when a 15th is tuned pure the 12th will beat the same speed as the implied 4th. Of course this only pertains to when the common note is on top. It cannot be any other way. Inharmonicity and temperment strips have nothing to do with it.

Hi I try to understand (it may be quite simple)

The partials involved in the 4th and the double octave are not the same if you talk of a 4th from the upper note)

When balancing 15th and 12th, the 12th is small and the double is large, if I enlarge the 12th, the double is even larger (top note not changing).

Then that larger 15 and tempered 12th provide some limits, the other intervals having the same partial ringing are nicely finding their place within. (M3, M6, 17th...)

Isaac:

I maen when the common note of the 12th and 15th are the top note. Like A3-A5 15th and D4-A5 12th with the "implied" 4th being A3-D4.

Did you read my last post???

Sorry, well, in that case I suppose it is true ! the 4th being complementary of the twelve at the double octave level.

What I dont get is the influence of the other partials (not the main one) on the final beat speed perceived.

The saying we use around here is "It all depends on how you hold your tongue."

http://www.allposters.co.uk/-sp/You...g-Rocking-the-Baby-Posters_i3834794_.htm

I just bit mine!!!! It hoiets!