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#2048862 03/15/13 08:18 PM
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Hello,

I have to do a tuning next week for classically trained voice instructor. I brought up the subject of using a UT. I suggested the 1/10 CM, thinking that it was already so close to ET she could get the benefits of a UT, but still remain very close to ET.

She said OK to the UT... whatever I think is best.

So I was wondering if any of the more musicologically inclined UT folks here might have a better suggestion as to an ideal UT for voice instruction. Or, if 1/10 CM might be best to start with.

Thanks,
-Joe

Last edited by daniokeeper; 03/15/13 08:19 PM.

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Whatever works for one student will not be the same for the next student that needs the piano part transposed up or down.


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Originally Posted by BDB
Whatever works for one student will not be the same for the next student that needs the piano part transposed up or down.


Precisely! I tuned an EBVT on my BB and my wife, a classical voice teacher threw a fit. any of the vocal works are not in the original key, and what sounded great in D major does not necessarily work in G flat. Transposition up or down a major third is quite common.

Don't do it. Stick with your best quasi ET tuning. IMO

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Thank you! Thank you! Thank for the advice!

Edit: I hadn't thought of the necessity for transposition and equivalent harmonization. I'm not even going with a QE... I'm going with ET.

ET it is!

Thanks,
-Joe

Last edited by daniokeeper; 03/15/13 09:53 PM.

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Originally Posted by Mwm
Originally Posted by BDB
Whatever works for one student will not be the same for the next student that needs the piano part transposed up or down.


Precisely! I tuned an EBVT on my BB and my wife, a classical voice teacher threw a fit. any of the vocal works are not in the original key, and what sounded great in D major does not necessarily work in G flat. Transposition up or down a major third is quite common.

Don't do it. Stick with your best quasi ET tuning. IMO


I apologize for my spelling above, should have said "many of the vocal..." Yeah, I know, D to G flat is a diminished fourth, not a major third, so shoot me.

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Tune EBVT III. They will absolutely love it. I tune for several voice teachers, one of whom sang with the New York Opera Company adore the sound and support it gives them.

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Originally Posted by chuck belknap
Tune EBVT III. They will absolutely love it. I tune for several voice teachers, one of whom sang with the New York Opera Company adore the sound and support it gives them.


It depends on the style of singing and the genre of the repertoire. If the student is working on early repertoire where very little vibrato is used, a transposed piece in EBVT III can be downright disturbing. If the student is aspiring to sing opera, the amount of vibrato used will cover up any harshness in the temperament. Quoting the Larousse Encyclopedia of Music regarding Vibrato - "...and in the Opera, the vibrato may become so wide as to leave the listener in doubt as to which pitch is being aimed for."

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Thank you BDB, Mwm, and Chuck!

I think that since this is a new client for me, I will tune ET this time. But, I will suggest that she try another piano she should have access to that is already tuned in 1/10 CM. Then, she can see what she thinks.

Since this is a new client, I was hoping to wow her with a very mild UT. But for now, I think I'll be very conservative on her piano.

Thanks for all the advice. You all make very valid points.

Thanks,
-Joe


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When making this kind of choice there is a matter of degree of change to consider. Jason Kanter's www.rollingball site is very helpful with this. I wouldn't move any note more than about 1.5 cents from ET for an ET replacement for vocal use. Keys are arbitrary based on vocal ranges, though the music is usually tonal in nature...



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Fascinating.

What would be a suitable temperament for Winterreise? (assuming original keys).

And why.

This came up a few weeks ago. The answers may hold a clue to your question.

Last edited by rxd; 03/16/13 12:57 PM.

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That was written early 1800's - probably on a piano in a fairly strong well temperament...

That doesn't mean that a stronger temperament would sound good to 'modern' ears!


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Originally Posted by rxd
Fascinating.

What would be a suitable temperament for Winterreise? (assuming original keys).

And why.

This came up a few weeks ago. The answers may hold a clue to your question.


I have played, using various unequal temperaments for four decades, repertoire where it seems that the composer clearly understood the effect of choosing a particular key in which to write would have on the piece. This shows up clearly in the organ, harpsichord and clavichord. It would also be wonderful on a piano, as long as you played everything in the original key. the Rollingball site gives a good overview of the the temperaments thought ot be in use at various time periods.

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Originally Posted by Mwm
Originally Posted by rxd
Fascinating.

What would be a suitable temperament for Winterreise? (assuming original keys).

And why.

This came up a few weeks ago. The answers may hold a clue to your question.


I have played, using various unequal temperaments for four decades, repertoire where it seems that the composer clearly understood the effect of choosing a particular key in which to write would have on the piece. This shows up clearly in the organ, harpsichord and clavichord. It would also be wonderful on a piano, as long as you played everything in the original key. the Rollingball site gives a good overview of the the temperaments thought ot be in use at various time periods.


Having no more experience that tuning among tuners that used some sort of Well temperament involuntarily, I could not say how it could be done voluntarily as when we tune under and above we tend to re-conciliate the intervals, I hardly see how the pattern use din the mid range can be expanded

I believe that the piano itself is an instrument that push toward ET by itself, because of the way the scaling is done, also

If an UT provide a few "acoustically pure 5ths" in the medium range, when we expand in the treble those 5ths will get too large (which is awful musically in my opinion)

If the original UT relations are respected , I suggest that the octaves will have zero stretch , and can sound sour.

If you tuned on organ or harpsichord you do not deal with any octave enlarging (to obtain the "acoustically pure octave)

I would suggest that tuning voluntarily an UT on a piano mean having in the ear the quality of the different 5 ths and reproducing them all along (not tuning by octaves then.

I noticed a piano / a tuner appreciated by the singers can have an absence of perceptible stretch, I have seen one tuner at the Opera that use short octaves all along (even shorter than the ones of the Yamaha tuners.

The singers liked the result. However the piano could not be used really as a soloist instrument then, it was perfect for the rehearsals, not used on stage.


The main problem I find is that installing long term stability in UT on a piano (concert tuning i.e ; tuning to make the piano easy to tune later) must be difficult.

Could be interesting in the case enough pianos are availeable , one room can be dedicated to meantone another to Kellner, etc.

One may use a C fork to tune UT's I believe.

BTW I asked my brother (violin soloist) if he tune "pure" 5ths on his violin, and he explained me that no he tune slightly tempered 5th and consider them to be more musical; It allow also to be more at ease with other instruments I believe.

About theory, the 5th is considered as the less interesting interval, in harmony, so having them tuned "pure" is mostly a trick to obtain a reinforcing of partial matching, it have no real justification musically speaking (unless very old music is played ,as "Barocco" music, often played straight, with no much enlightenment - there also, with or without real musical justification, as pretending that in those times the stringed instruments did not imitate the singers and pretending the singers did not vibrate their voice, seem a bit far for my ears)

All the literature about UT is addressing the Organ and the harpsichord . Then the purity of the pattern is probably easier to preserve.

PS in fat I tuned a few organs and harpsichords in Ut's (meantone mostly, meantone is really something, in the good context)That is then I discovered that the player could tune a better meantone by ear , than me with my "perfect intervals" computed by a Verituner. I had to learn doing it by ear to satisfy the players.




Last edited by Olek; 03/16/13 02:03 PM.

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Your observations are very interesting Isaac. As you mention, a relatively straight tone is used now in most Baroque and Rococo, and even classical repertoire performed by period orchestras and soloists. The soloists, however, use vibrato as an ornament with great effect. I mentioned in an earlier thread that the string players in chamber ensembles often tune each string to the corresponding note on the continuo keyboard, which changes from performance to performance according to the UT used.

Like you, I think the best tunings on the piano seem to converge on an equal temperament.

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Thanks again for the additional comments and info Mwm, Ron, and Isaac smile

Isaac,

I do notice the effect you are referring to re the 5ths. I wonder if you ever tried the Moscow Equal-Beating Pythagorean Temperament. If you go to the RollingBall site and look under Pythagorean Temperaments, and then check Moscow's temperament, you'll notice that all the 5ths are either pure or beat at 1.4 beats per second. This should give plenty of room to finesse things as the temperament is expanded outward.

I do find it fascinating that the Verituner does not do an adequate job on other low-inharmonicity keyboards. But maybe there is a way, if you want to experiment...

I posted a question back in 2001 on the Verituner Forum about pipe organ tuning. Dave C. himself answered the question. Since you are a Verituner user, I assume you are a member of that forum. Here is the link:
http://sforum.veritune.com/forum/topic.asp?TOPIC_ID=18

He suggests using the Measured function, since it has zero inharmonicity.

I would just Copy and Paste the text here, but the VT Forum requires a login to even just view the posts. I'm not sure that it would be OK for me to post his reply verbatim here on a public forum.

If you cannot get access to the forum for whatever reason, PM me and I'll PM you the text of the posts back.

-Joe

Last edited by daniokeeper; 03/16/13 09:50 PM. Reason: clarity

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Interesting discussion. Since I have been tuning the EBVT for more than 20 years for most of my clients, including several voice teachers, I can't take the "don't do it" warning seriously. Also, the dealer I work for has voice teachers in the studios and they always use 1/7 Comma Meantone.

The transposition issue comes up fairly often. Those who advocate ET only always jump on it. It is always about what you couldn't do if you tuned in a non-equal temperament. So, let me make it clear that all of that is nonsense. Otherwise, I have made my living for the past 24 years doing what "wouldn't work, couldn't work and shouldn't be tried".

Also, if a piece of vocal material is at or near the limit of one's range (either low or high), transposing up or down a half step does not help much. It would also be more difficult for the pianist. Vocal pieces are rarely written in the remote keys. Just take a look at any vocal book which is offered in several voice ranges. They simply do not transpose anything up or down an augmented 4th! Nor do they by only a half step.

If someone is working on material written in the 17th or early 18th Century, that material would have been originally heard in 1/4 Meantone. To put it in ET moves the temperament to the complete opposite end of the spectrum where everything vibrates analogously all the time. It would never be written in a remote key! To transpose something written in D Major to G-flat Major simply does not make sense. In fact, that was one of the jokes in the English language, stage play version of La Cage aux Folles. It was funny because it was absurd.

There is something to be gained and something to be lost in any and every decision made with regards to both temperament and octave stretch. I saw once again the suggestion about pure 5ths. Piano tuners sure do seem to like pure 5ths. But the consequence of them is to have 21 cent wide Major thirds.

If you stretch the octave wide enough that the 5ths become pure, the Major thirds will all become wider and more dissonant. The 4ths will also beat noticeably. It is certainly not going to help with voice study. Not long ago, I was called to a recording studio where someone had done that. The strings and winds complained that they could not play in tune with the piano.

So, if all things considered, your choice is still ET, I suggest you go with the kinder and gentler version of ET, the ET via Marpurg that I will be presenting at the convention this Summer. It is what I did for that recording studio. It just so happens that I will be using it to tune the piano for the local opera company rehearsals tomorrow. The company is getting a new facility in June with two pianos in it. The music director wants both pianos tuned that way as the usual choice (but with other choices in mind for certain repertoire).

What is interesting about the ET via Marpurg is that it causes the 4ths and 5ths to beat equally. If you also choose a rather conservative amount of stretch for the temperament octave, a 4:2 type, you will find that you can tune the octaves up and down from the temperament octave and have the octave, 4th and 5th all sound alike. None are perfectly pure but all are tempered only very slightly.

When played together as a tone cluster, example: G3-C4-D4-G4, the tone cluster seems to just "hang" there, perfectly beatlessly. This is because the slight beats which are there all center around the same coincident partials either slightly sharp or slightly flat of them. The opposing beats effectively cancel each other and the result is a perfectly still sound.

In other words, it ends up sounding perfectly in tune, something which has always eluded the art and science of piano tuning. The Rapidly Beating Intervals also are not pushed into beating any faster. They are all as even sounding as can be which the intent and purpose of ET.

I have long been aware of the beat canceling effect of equally beating intervals. It is the reason why the simple keys sound purer than they really are in the EBVT and EBVT III. The economy in the simple keys keeps the remote keys from being too harsh and therefore permits virtually any style of music from any era to work and work very well.

That being said, there is no other temperament and octave stretching arrangement which can take more complete and total advantage of the beat canceling effect among 4ths, 5ths, octaves and their multiples than the ET via Marpurg.

You need to keep the two central octaves (C3-C5) as 4:2 types to get this effect. I am not sure what happens to the outer octaves because I always do this either aurally or by direct interval (but I do offer a suggestion as to what probably works below). I can get my SAT IV to reduce the amount of stretch in the central octaves by setting the DOB to -0.2. I have seen that Tunelab has a 4:2 octave setting. I don't know about other devices or software but maybe Ron Koval can help with this.

As I tune up from the F3-F4 temperament octave, I simply place the note to be tuned in that "sweet spot" that has often been mentioned in the past. It is the spot where the octave, 4th and 5th all sound virtually the same.

A couple of years ago, I was doing some strictly aural tuning for a while and discovered that if I played all four notes together, there was this uncanny stillness to the tone cluster. If I heard a slight beat, I could sharpen or flatten the note being tuned so that the beat would seemingly disappear entirely.

I wrote about it back then and Herr Stopper immediately jumped on it saying that it was the idea he had "invented". Perhaps he did discover something along those lines and it suggested the name he has given to his process, "Only Pure".

However, what Herr Stopper does (as I understand it) is to create an ET within a beatless interval of a 12th (octave-fifth). This necessarily creates a wider than 4:2 octave. In theoretical ET, 4ths beat 1/3 faster than 5ths. It is still only a very slight distinction. However, any purposeful widening of the temperament octave will cause 5ths to be stiller but 4ths to beat more noticeably. Major thirds and sixths will also beat faster and therefore be more dissonant, even if they are all more dissonant by the same amount.

When you apply the extremely small and slight changes to theoretical ET that causes the 4ths and 5ths to beat equally and you keep your two central octaves in the 4:2 type, something really nice happens.

Once you get to the point where you are tuning double octaves, for example F3-F5. You do what has long been called the "mindless octaves". You make the double octave, F3-F5 be the same amount wide as the octave-fifth (A#3-F5) is narrow. Both are only very slightly tempered and sound virtually pure.

Now, that being accomplished, if you play F3-A#3-F4-F5 all together and hold them (perhaps using the Sostenuto pedal), you will again hear that uncanny stillness. If you hear any slight beat at all, F5 can be adjusted so that the beat disappears entirely.

You will also hear that the single octave, F4-F5 sounds very nice, virtually pure but slightly on the wide side (as it should be). When all notes are played together, they all share a common coincident partial (which is the 1st partial of F5). Whatever slight beat there is among them is canceled.

If you proceed this way until F6, you can make the first partial of F6 match exactly the eighth partial of F3. All related notes in between which all share a coincident partial with F6 will be nicely in tune with each other. Again, no interval (except the triple octave) will be perfectly pure but when the entire cluster (F3-A#3-F4-A#4-F5-F6) is played and held, it will sound perfectly still!

You can therefore tune pure triple octaves from F6-C8 and have as a result, the most beautiful sounding treble and high treble that is possible on the piano. It is so easy to do on the SAT as to be "mindless". Forget the calculated program from F6 to C8! At F6, I simply play F3, stop the pattern and enter whatever figure there is and tune to that. I continue that all the way to C8, taking the reading from C5.

It takes only a couple of minutes to enter a custom program for the outer octaves but the result is a piano that is perfectly in tune with itself, not with some calculation that may be flawed. I can, of course, store that program for use over and over on the same piano.

Tuning the Bass is a mirror image of tuning the treble. Tuning down from the temperament octave, example: E3. Tune the octave E3-E4 on the wide side but very nearly pure. Compare the 4th, E3-A3 and 5th, E3-B3. Make all three intervals sound as alike as possible. Then play the cluster, E3-A3-B3-E4. It will just hang there beatlessly!

Continue that way down to F2. Then beginning on F2 (going downward), eliminate the 4th and compare the 5th, octave, octave-fifth and double octave: F2-C3-F3-C4-F4. You will get that same, still effect when all intervals are balanced correctly.

At C2 and continuing downward, eliminate the 5th and compare the octave, octave-fifth, double octave, double octave-fifth and triple octave. C2-C3-G4-C4-G4-C5. As with the high treble, you could simply tune the 8th partial of C2 to the first partial of C5 and do that all the way to A0.

The result will be that all related intervals will be optimally tuned. You will essentially be canceling a large part of the "noise" out of the piano. Large chords spanning four octaves will sound as in tune as they possibly could. No one interval is favored over another. Piano tuning must be one kind of compromise or another. If you ask me, this is the ultimate compromise if the desire is for ET.

Below is the Jason Kanter graph of it. It actually looks more irregular on the graph than it sounds. Note that all deviations from ET are less than one cent. They simply adjust the 4ths so that they beat equally with the 5ths. Otherwise the Rapidly Beating Intervals sound virtually identical to ET (even though they don't look that way on the graph). It is "below the radar" of the PTG tuning exam and would therefore score a perfect 100 on it if used. Indeed, I know of many people who have used it successfully on the exam.

One benefit the sequence has if performed aurally is that it strictly avoids the Reverse Well error. As I see it, the danger in trying to make 5ths be too pure is exactly that. While Reverse Well is never the intent, it often does end up being the result. It certainly would not be what you would want to do for a voice teacher.

[Linked Image]

The offsets are right on the graph. If you use an SAT, simply round them to the nearest tenth and put the DOB at -0.2. Then, at C5 and above and at B2 and below, cancel the DOB.

I am not sure about what outer octave settings would replicate the precise amount of stretch needed but I am inclined to guess that 4:2 for octaves 3 & 4 but default for the rest of the piano would do it. Maybe something a little more for octaves 1 & 7. Perhaps Ron Koval may have some insight.

In any case, to use this idea with an ETD would not be difficult. Just apply the temperament offsets and a smaller than usual amount of stretch for the central octaves and the usual amount for the outer octaves. Once you have tuned using the ETD, you can play those tone clusters and you will hear the purity I have described.

If you do hear a slight beat anywhere, adjusting the beat out of it by ear would be very easy to do. After all, you are not trying to fiddle with fine tuning very rapid beats but trying to find that sweet spot where there is no beat at all! All of the Rapidly Beating Intervals will take care of themselves very nicely. I never even listen to them when using this process. It simply isn't necessary.


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It occurred to me that the offsets on the graph are not listed chromatically and use flats for some notes which may be confusing. Therefore, for convenience, here are the offsets for the ET via Marpurg in hundredths:

C: -0.05
C#: 0.00
D: -0.16
D#: -0.78
E: -0.50
F: 0.00
F#: +0.60
G: +0.56
G#: -0.05
A: 0.00
A#: +0.16
B: +0.56

Here are the offsets for the ET via Marpurg, rounded off to the nearest tenth of a cent:

C: -0.1
C#: 0.0
D: -0.2
D#: -0.8
E: -0.5
F: 0.0
F#: +0.6
G: +0.6
G#: -0.1
A: 0.0
A#: +0.2
B: +0.6


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The thing is that I will recognise what Mwm say, as a musician and an user of UT on instruments adapted too.

it talks more to me than your graphs and cts values.

UT make sense on old pianos with imprecise tone, it is a mean to avoid modern tone, a mean to hide the piano tone defects and change it to quality, sort of manipulation of the brain of the listener. It can be appreciated then in some context.

But I am looking for something else when tuning a piano. The instrument dictates his own justness.
And even with the quasi ET or Well temp I heard tuned by some of my respected colleagues in concert, some tonalities where sounding less plain, I heard it (sometime even CM)







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Originally Posted by Bill Bremmer RPT
Interesting discussion. Since I have been tuning the EBVT for more than 20 years for most of my clients, including several voice teachers, I can't take the "don't do it" warning seriously. Also, the dealer I work for has voice teachers in the studios and they always use 1/7 Comma Meantone.

The transposition issue comes up fairly often. Those who advocate ET only always jump on it. It is always about what you couldn't do if you tuned in a non-equal temperament. So, let me make it clear that all of that is nonsense. Otherwise, I have made my living for the past 24 years doing what "wouldn't work, couldn't work and shouldn't be tried".

Also, if a piece of vocal material is at or near the limit of one's range (either low or high), transposing up or down a half step does not help much. It would also be more difficult for the pianist. Vocal pieces are rarely written in the remote keys. Just take a look at any vocal book which is offered in several voice ranges. They simply do not transpose anything up or down an augmented 4th! Nor do they by only a half step.

If someone is working on material written in the 17th or early 18th Century, that material would have been originally heard in 1/4 Meantone. To put it in ET moves the temperament to the complete opposite end of the spectrum where everything vibrates analogously all the time. It would never be written in a remote key! To transpose something written in D Major to G-flat Major simply does not make sense. In fact, that was one of the jokes in the English language, stage play version of La Cage aux Folles. It was funny because it was absurd.


Bill,

You make many goods points and a number of suppositions without basis in fact. My wife, who is a specialist in early performance practice, always sings in the key originally written. However, she teaches voice to students, who do use transposition of later works on a regular basis. I mentioned the transposition of a piece from D to G-flat, not to be absurd. If you will check the Hal Leonard Corp. publication of Roger Quilter's Dream Valley, Op. 20, No.1, it is in G-flat major with the subheading - "original key: D Major". I don't make this stuff up.

I loved your EBVT III, tuned it on my BB, played Debussy works he wrote in D-flat and loved the shimering sound, just as I imagine Debussy may have heard it and wanted it to sound. Had I played the same pieces in C, they would have lost much of their colour. My point is, a voice teacher needs the flexibility to transpose pieces. When I accompany singers, I often transpose up or down a semitone at sight. It is easier than a whole tone, because the notation remains similar, just flats or sharps added to the notation.

I have been a proponent of UTs all my life, but reality sets in when you transpose, and some form of et seems the best compromise.

By the way, many, if not most of the singers and voice teachers I have been aquanted with over 40 or so years, with the exception of early performance practice people, couldn't hear or recognize a UT from ET. Their pianos are always out of tune, and they warble so badly, and ask their students to warble so badly, that pitch references are really just guidelines.


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As a professional, classically-trained singer, I would much prefer ET to anything else. In good singing, a piano can't be tuned to compensate for every instance where turning the pitch where appropriate (as in leading tones in either direction, for instance) is called for.

As a voice teacher, my primary concern would be having a solid, consistent pitch reference. Nothing more.



Happiness is a freshly tuned piano.
Jim Boydston, proprietor, No Piano Left Behind - technician
www.facebook.com/NoPianoLeftBehind
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