The theory behind checks for intervals as I now understand it, though my understanding of aural tuning is constantly changing, is that the note we use to check the interval also has a coincident partial that agrees with the coincident partials of the interval we use the check for. So with the first example you gave, more specifically, checking the fourth of E3 to A3 with C3, we find that the partials coincide for all these at E5, being the 5th partial of C3, the 4th partial of E3, and the 3rd partial of A3. Technically, then, partials do coincide, more remotely, with the check you suggested for D# to G#, i.e. the C above both. E.g., we find that the 12th partial of D#3, and the 9th partial of G# 3, coincide with the 7th partial of C4 at A#6, I believe, if I calculated correctly. It is more remote than the more traditional check, but theoretically, it should work in some manner, because the partial coincide. ________________________________ From: caut-bounces at ptg.org [caut-bounces at ptg.org] On Behalf Of Dan Reed [pianoarts at tx.rr.com] Sent: Sunday, March 15, 2009 2:36 PM To: caut at ptg.org Subject: [CAUT] Temperment check inquiry I am taking a fresh look at refining my temperment...(hey..sounds like an ad for Xanax!) Here is the question...Does anyone use a 'reverse', M3 / M6 check for checking the P4th width? 'Reverse', meaning, instead of, for example, C up to E(3rd) and C up to A(6th) to check and set the width of 'A' in the E -A P4th. Will this work going down? Checking the P4th width.... C down to G# (3rd) and C down to D#(6th) to check/set the D# width in the G# down to D# P4... The point is, this 3rd/6th test is useful, when 2 notes in a M3rd are known...as in any contiguous M3rd... Why not use the test backwards, going down? My question is...can this beat rate comparison be useful going in reverse? Going down, the M3rd is faster than the M6th...So, in setting the M6th, it would beat 'slightly' slower than the M3rd... Dan Reed Dallas, Tx -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://ptg.org/pipermail/caut_ptg.org/attachments/20090315/99807897/attachment.html>
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