Set up Just Intonation with Chromatic Tuner



Hi,

The last few days i spent a little time with just intonation tuning theorie.
I read the article (Just Intonation by ear) from pat mission about this. 
Additionally you can find some theory on 
http://home.earthlink.net/~kgann/tuning.html

I now have some troubles/questions:

1. If you have a harp key of C. What key would you tune in Just Intonation?
   C, G or D if you play mostly 2. Position (sometimes 1. and 3.)
   Pat Missin starts to tune the 1b +/-0 cent sharp. So i could assume, that
   the JI-tuning is for C? 
   He than goes on with the oktaves e.g. 4b 2cent sharp (oktave stretched).
   Rest is mathematics: on richter C tuning 2b is a E, therefore it is four
   halftones from C. The ratio for this intervall is 5/4 and so 
   1200*log2(5/4)=386,31cent=~14cent flat.
   For 3b on a richter C tuning it is a G, therfore it is seven halftones from
   C. The ratio for this intervall is 3/2 and so 1200*log2(3/2)=701,96cent=
   ~2cent sharp (both calculations without considering the little stretched oktave)
   ...for higher oktaves in equal ways...

2. Now i have a problem: what key to use for the draw notes? In my opinion
   the draw notes must be tuned for the same key as the blow notes. But if this
   is so, why does p.missin starts to tune the draw notes with 1d? He says,
   drawing notes sound cause of natural intonation a little bit flater than
   blowing notes and therefore he adds an offset from about 4cent sharp.
   So long so good. But should i tune the draw notes relativ to C just intonation
   or D Just Intonation?

3. If i am playing mostly 2. position. Isn't it a good choice to tune a harp key
   of C into G Just intonation rather than C? So i can reach pure chords in G.

Thank you for your answers.

Bernhard.
(Austria)





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