[pianotech] Tuning Unisons with Intervals; Unison Size (was The big discussion)

paul bruesch paul at bruesch.net
Sun Jan 30 09:34:25 MST 2011


Joe,
For me, this is awesome... thanks for posting it. I'll have to go through it
a few more times while I "try this at home".
Paul Bruesch
Stillwater, MN

On Sun, Jan 30, 2011 at 3:19 AM, Joe DeFazio <defaziomusic at verizon.net>wrote:

> *
> From: *Ron Nossaman <rnossaman at cox.net>
> *Date: *January 29, 2011 10:54:52 PM EST
>
> On 1/29/2011 9:05 PM, John Formsma wrote:
>
> Someone on the list might have mentioned it.
>
>
> Not that I've seen. I don't recall anyone - ever, in any situation,
> mentioning testing unisons with intervals. This strikes me as weird, as
> obvious is it is after the fact. Maybe if I'd had some actual instruction at
> the start, it might have come up. I just sort of discovered the octave thing
> by myself.
> ....
> Ron N
>
>
> Hi Ron and John,
>
> I use 3rds and 6ths (and other intervals) frequently in tuning and testing
> unisons, though not exactly in the way John does, if I follow John
> correctly.
>
> I believe in a concept called "unison size," if I many coin a term (or
> perhaps someone has already coined it).  As is standard knowledge, the
> various tests we all use rely on coincident partials, and unisons can be
> tuned and/or checked using similar tests.  Here's how I do it:
>
> Let's say you want to tune or check a unison on note C#3, and let's assume
> for simplicity's sake that it happens to be a bichord.  You could use A2
> below it forming a major third as your test note.
>
> Start by muting off all but one string of A2, and all but one string of
> C#3.
>
> When you play A2 and C#3 together, the beating you hear is a coincident
> partial at C#5 (a 5:4 coincidence), and it is the 4th partial of C#3 that is
> participating in the beating.
>
> Listen to the beat rate, and then switch your mute to hear the other note
> of the C#3 unison.  If you tune the second C#3 string so that the beat rate
> is exactly the same, or, if when you check the already-tuned other string
> the beat rate is exactly the same, then you have an exact 4:4 unison.
>
> If you used A#3 as your test note instead, the coincident partial is F5
> (or, E#5, for us music theory nerds), and your coincidence is 5:4, with the
> 5th partial of C#3 participating in the beating.  So, if you match the beat
> rates between the two strings of C#3 in this case, then you have tuned a 5:5
> unison.
>
> If you use E3 as your test note, you have a 6:5 coincidence, with the 6th
> partial of C#3 participating, so you have a 6:6 unison, and so on....
>
> ---
>
> If I read his post correctly, John is not referring to using mutes.
>
> If you don't use mutes and the unison is not good, then you will hear two
> (or three) competing beat rates at the coincident partial, and that
> blurriness in the sound (or lack of a clear beat rate at the coincidence, or
> really a shifting maze of phase reinforcement and cancellation) is your clue
> that the unison is not good.  Thats why you don't like it.
>
> If you don't use mutes and the unison is good, then the beats at the
> coincidence will reinforce each other (be in phase), and will be nice and
> strong, which is your clue that the unison is good.  Mmmmm good.
>
> So, really, the same principle of using coincident partials at a certain
> unison size by using a test note is at work with or without mutes.  "Without
> mutes" is faster, of course, and "with mutes" gives you more feedback in
> correcting the wayward string (i.e. - it tells you if it is too high or too
> low, and by about how much as you compare the separate beat rates).
>
> ---
>
> I think that the "unison size" concept is most helpful in achieving
> consistent tuning in pianos with lots of mismatched bichords.
>
> By ear and using tests as outlined above, find the unison size that sounds
> the best to you (4:4? 5:5? 6:6? or even higher...), and then tune all of
> your mismatched bichords to that same unison size.  The bass can be more
> consistent that way, even in those pianos with badly matched bichords.  They
> may all sound "wrong," but they will sound "the same wrong."  Sometimes
> consistency is the best you can do.
>
> As you choose the best sounding (least bad sounding?) unison size for the
> mismatched bichords on a particular piano, I suggest that you listen to the
> note by itself in evaluating the unison size, but then you should also
> listen to the note in the context of P8s, M10s and P12s above, and perhaps
> as the root of a major chord.  Sometimes, the best sounding "solo"
> and "harmonic" choices for unison sizes can be different, and you will have
> to choose which to use.  But, once you choose, I will once again suggest
> that you use unison size tests to tune the other problem bichords
> consistently.
>
> ---
>
> The "unison size" concept with mutes is also helpful many times with plain
> wire strings that are giving you trouble in pulling in a unison.  It can
> even be used to tune high treble notes at more divergent coincidences, such
> as 5:1 or 6:1 (with the "1" being the high treble note;  you are tuning a
> 1:1 unison, which is often the best choice in the high treble).  At the very
> least, it gives you feedback about whether a certain coincidence matches or
> not.
>
> ---
>
> I would welcome other folk's ideas about unison size, such as:
>
> What unison size do you find works the best with mismatched bichords?
>
> What is more important, finding the unison size that sounds best solo or
> the unison size that works best in harmonic context?
>
> And the like....
>
> Joe DeFazio
> Pittsburgh
>
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