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Date: | Fri, 27 Oct 2006 11:35:46 -0400 |
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>>There are also some organs arranged in tritones so that there is NO
>>drawing at all with any intervals.
Actually...if such organs would be in regular 1/6 comma or some of its
near-relatives, there *would* be drawing of the tritones. It's a pure
interval, 45:32, which is the same as building a pure 5:4 major third
together with a pure 9:8 whole tone. (For example, play such a C and F#
together, when they've been tuned within a regular 1/6 cycle, and a
phantom pure D and/or E can sometimes be sensed in there. And, the
45:32 tritone itself is especially resonant whether one is hearing
phantom extra notes in there or not. NB: Pipes and/or strings here,
with decent sets of upper partials; not sine wave tones!)
Details about regular 1/4, 1/5, 1/6 -- along with some of their other
surprising features:
http://www-personal.umich.edu/~bpl/larips/meantone.html
Bradley Lehman
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