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Calculating ratios in a chord

🔗ruxxes <ruxxes@...>

11/15/2011 5:56:59 PM

Hey there!

Here is my question: how can I calculate the resultant ratio of intervals in a chord? (to get a single ratio that characterizes that chord's ..well.. formant?)

What is the algorithm? Should I summarize all broken numbers present or what?

As far as I can figure out this can be applied to any chord - be it an equal 12-tet or microtonal one..

Please help me - I cannot find anything relevant for quite a while :(

Thank you!!

🔗jiji joj <acoustroke@...>

11/17/2011 4:07:52 AM

sorry for my poor English but I'm french...
Look at the "differential sound".. I'm not sure of my translation... in french we said " son différentiel"

For example in just intonation:
for C to G interval we have  G-C result   so  3/2-1=1/2     which done a C with 1 octave down.

for C E G tetrad we have  G-C   ===>    C-1octave
                                        E-C   ==> 5/4-1=1/4   ===>C-2octaves
      and the less important G-E   ==>3/2-5/4=1/4  ===>C-2octaves
that's why this tetrad is so consonant in C !

try with another tetrad and another tuning...this is not always as simple!

best regards.
Acoustrokes

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🔗jiji joj <acoustroke@...>

11/17/2011 4:12:33 AM

it's a "combination tone"...
Sorry for my poor translation

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