Richard, I don't know what you obtain with this expanded temperament, but I usually always tune together octaves doubles, twelve's and their double, and with the sustain or tonal pedal engaged, there is a very nice spot all along the keyboard that lend to a very "tonal" result , if you see what I mean. I just had a friend tuner - Fazioli concert tuner and factory intoner . explain me that the sympathy resonance of a good instrument is such that you could almost tune the treble without any reference to another note. simply tune in the strongest spot the note alone . I did not check that yet but if you hold the sustain pedal and tune a note in the treble, you will hear a spot where all the other are in resonance, and chances are that you will have a very nice treble then. And it works too for unison. If liking the method you could tune with only one mute (I mean that you can find the good place even when a lot of "dissonant " sound is present, it is just a matter of energy. And I believe the same for unison and stability, when you tune the stronger (energy) moment while tuning an unison, (or even a string alone) , that mean that the back length is tuned, the front length too, you can eventually leave the pin without resorting to any twisting or pin setting , because it will not move anyway, it is stable and stone hard, even hard to untune. any strong pounding will only settle the pin farther, and if the unison have to drift later it will drift evenly in this optimal configuration. Mr. Fabbrinni too tunes with a lot of twelve's and doubles references. But I suppose you are aware that the display of an ETD rarely shows the thing that we are to hear, it only gives a direction, so partial choice is of course very important. I just have some thoughts on the hearing of beats on the fundamental, will make another post for that. Bash ! (I mean, Bests !) Isaac OLEG > -----Message d'origine----- > De : owner-pianotech@ptg.org [mailto:owner-pianotech@ptg.org]De la part > de Richard Brekne > Envoye : vendredi 10 mai 2002 23:07 > A : pianotech@ptg.org > Objet : Re: Tuning Curves > > > Ok... so there was a big mistake in this.... actually I have been > tuning by > taking the 3rd of D3 and A4 and useing those offsets to set that > octave 5th, > and then repeating the process for the 3rd of A4 and E6. I assumed that > this was going to be the same as just taking the offsets for D3 and E6 and > setting the whole area at once... but nooooooo no no no... > > What essentially is happening is that in an octave 5th Tune Lab > figures the > exact relationship between the two notes... (something in excess > of 3 to 1 ) > and then takes the 19th root of that quotient. Then starting with > the lowest > note in the range it just multiplies that result times the each successive > frequency to give you the offsets. But if you do this from E6 to D3 which > then is like the 38th root of a roughly 9 to 1 relationship then > you end up > with a totally different picture. For example A4's 3rd changes > from about 5 > cents offset to about 14 cents. Of course this makes for a pretty wild > tuning...grin... so you have to take each section for itself. > > What I am not clear on here is why there is such a big difference > here... I > mean spliting an octave into 12 evenly spaced segments or > spliting 3 octaves > into evenly spaced turns out not to be the same... like the distance > between intervals then simply has to fit into an exponetial > curve........ok... so we sort of already know this... but..... so > why do we > use a linear equation to define the ET temperament ?? as in Cents ?? > > If I tune an octave (with any given partial) slavically with this > linear way > of dividing up any given actual octave... then what the heck does > that do to > all the other partial relationships....they want to increase exponetially > ... beat rates are going to get out of wack this way or what ???.. > > Grin... maybe I am thinking too much. > > -- > Richard Brekne > RPT, N.P.T.F. > Bergen, Norway > mailto:rbrekne@broadpark.no > http://home.broadpark.no/~rbrekne/ricmain.html > > >
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