Replies

  • Thank you. For clarity: The Erlangen clavichord mensuration pro clavichordys faciendis (the first of the 2 methods)  tunes E as a pure third from C and H as a pure third from G, in the proportion 5:4. This is completely unambiguous in the text.   That is why I call it essentiallly a just tuning- it goes against pythagorean just fifths and their wide major thirds. (Maybe I should say "mixed-just" and contrast it with pythagorean "fifth-just", terminology is not quite clear).  

    It does also derive D and A from a long downward chain of fifths, G>C>F>B>Eflat>Aflat>Dflat>Gflat. It takes D as a major third from this Gflat 5:4. (In this way the increasing flattening of pure fifths going down is counteracted by the smaller pure third which makes D higher.)

    A is tuned a pure fifth from D. I think the reason for getting D and A this way is to try to reduce the sharpness of D and A (and the wolf A:E) which results when one derives D and A the usual way, going up C>G>D>A.

    Apart from the flat D and A this tuning has strong similarities with some simple 16th-century diatonic just tunings.

    I take Nicolas' point about the possibility that tunings were sometimes sloppy, strings defective etc, but medieval descriptions of musical sweetness suggest that there were also people with an incredible ear, back then, and maybe less noise to ruin their hearing, and more time to get things in tune.

  • I completely agree, Mark Lindley's evidence is far from imprecise, he refers to clavichord mensurations (the temperament or tuning is given by the position of the tangents whose set is like a monochord with a little bit more than just five chords).

    His discussion is about which of the possible ones we know about that period, had been used by Dufay at Ferrara, and his hypothesis is a conventional diatonic scale (based on Pythagorean tuning), but the fictae (more or less) in meantone intonation. Not exactly what Catalina describes, but she is dealing with a century later!

    By the way, if you go on her page you can listen her playing on a historical 16th-century harpsichord. Of course, also Mark has his pragmatic concept to tune the instrument and he does it quite fast. But the clavichord mensuration is the decision you must do, before you build the instrument!

    Euphony in Dufay: harmonic 3rds and 6ths with explicit sharps in the early songs
    Euphony in Dufay: harmonic 3rds and 6ths with explicit sharps in the early songs
  • Dear Michael,

    I think to remember that the Erlangen tuning is one of the "schismatic tunings" discussed by Lindley. These tunings are strictly Pythagorean, but they indeed also could be considered early examples of just intonation.

    In Pythagorean tuning, Gb is a Pythagorean comma lower than F#, while the F# a pure major third above D is a syntonic comma lower than the same F#. The difference between these two commas is a schisma, about 2 cents. That is to say that the Pythagorean "third" D-Gb is a schisma narrower than a pure one. A cycle of fifths displaced to include Gb would indeed produce the wolf at H-Gb (for H-F#, of Cb-Gb).

    There is some logic in the idea that only "black" keys would be tuned in this manner, adjusting the ficta notes causa pulchritudinis. The medieval musicians may have discovered the trick by realizing that the Eb, the most distant fifth of the chain, also produced a good third above B. By continuing the chain of fifths flatwards, they obtained Ab, Db and Gb, good thirds above E, A and D respectively.

    Lindlay made the hypothesis that the position of the thirds so tuned depended on the music played, and he imagined different variants of the same tuning. All these variants would have been obtained by pure fifths exclusively (one did not yet tune pure thirds directly), but I do not think many of them are really documented.

    One point with Mark Lindley is that he has a fantastic ear, gained I presume after years of fine tuning. The question, which will never be answered, is whether medieval musicians had the same intransigence. The same question could be asked for J.S. Bach's time: in Leipzig, he called military musicians to play the trumpet parts when needed; I cannot believe that these were known for the exactness in intonation. I believe that our demands about tuning are much higher than they ever were before. But of course, there is no way to prove that.

    As to al-Urmawī, there is not much to be learned from his treatise. The only point is that he described the schismatic tuning about a century before Western theorists; but he was interested in monodic music exclusively.


  • Dear Michael,

    I've tried using just intonation on the portative organ in music of the turn of the 16th century and it works surprisingly well.

    I did this melodically in music to 3 voices with my students (that is, in 3 organetti consort), starting with a meantone tuning and then adjusting the open fifths. (One voice, the tenor, keeps the intervals constant). They managed to do it with much precision in relatively short time.

    So, yes...One can be quite precise with most of the bellows that are being made today (wether the bellows were this dynamic and precise in the 15th century is another question), and just intonation is possible. If it was used or not by practical musicians, is hard to tell.


    Michael Shields said:

    Dear Nicolas,

    Many thanks for your help, and helpful doubt. I know and admire Mark Lindley's observation of near-pure thirds over D, A, E in a Pythagorean tuning and their use in some music examples. I think he is still talking about a strict Pythagorean tuning (wolf H: F#) with some useable pure thirds in the black notes, but pure untempered fifths (at most, Lindley suggests one should take care that the fifths are not tuned wide). 

    I am  interested in just tunings, with pure thirds and fifths on the white notes in the more common keys, over C, D, G or possibly F, and with resulting wolf intervals elsewhere - similar to those found in the two Heilsbronn (so-called Erlangen tunings, Erlangen Universitätsbibliothek MS 554) clavichord tunings with wolf A:E (method 1) or wolf  A:D (method 2).  Players on instruments tuned in these would either have to avoid using the wolf fourths and fifths as consonances, or adjust the pitch in some way, or maybe use the wolf vibrato in the low notes for expressive effect. I would imagine such tunings being used as an occasional alternative to pythagorean tunings.

    So my question is really: When a 15th-century portative organ, pre-tuned in a just intonation (eg. with triads CEG, DFA and GHD pure and wolf A:E), is used as a single-melody instrument, can one use varying pressure to adjust the pitch of one or two bad notes when needed? I think this would depend whether the pipes used were constructed to give variations in pitch (not just amplitude).

    Maybe there is an article that discusses 15th-century organ pipe scaling/voicing and might help to answer this question? (I am not optimistic: the surviving information may be too ambiguous to interpret.) It would also be useful to know whether there are any textual descriptions or iconograpy of people tuning their portative organs as they did their harp.

     I would be grateful for bibliographical advice, or advice in the form of practical experience of small organs. I know of a number of 16th-century just tunings for organ, and these look like conservative survivals from a period before meantone became widespread.

    Michael

    Orgue portatif avec double soufflet
    Bonjour, quelqu'un peut-il me donner une explication au double soufflet de cet orgue ? London, British Library, Add MS 38120, 103r
  • Dear Nicolas,

    Thanks for this also, I must look at Ṣafī al-Dīn al-Urmawī. I regard the slightly earlier Heilsbronn/Erlangen clavichord tunings (Erlangen UB 554, mid 15th-century) as evidence of just intonations, but I admit they are preceded in the MS by a pythagorean tuning for organ.  I did not mean that one could switch in mid-play from (eg,) Pythagorean to just tuning and back, but that one might (for example) have a number of small organs tuned according to different tunings, Or one might quickly adjust a tuning by moving the wolf, etc.

    I do not know whether modern organetto reconstructions really use exactly the same tuning methods as in the 15th century- reshaping or cutting the pipe-end? and I still have not found a medieval description or picture of somebody tuning an organ. That seems not to  be part of the iconographic tradition (and it's not easy to depict). I'd be very grateful if anybody knows of one.

    Michael

  • It is one thing to tune an instrument in, say, Pythagorean tuning, meantone temperament, or just intonation, and quite another to pass from one of these systems to another merely by varying the wind pressure. I don't mean that the instrument cannot play "in tune", merely that I doubt that variations in wind pressure could finalize the tuning.

    Neither meantone nor just intonation are documented before the end of the 15th century -- with Ramos de Pareja's description of pure thirds (1482) being an important step in this evolution. Before that, almost pure thirds were tuned by enharmony, as Pythagorean diminished fourths (say, D-Gb for D-F#). This tuning was first described in the 13th century by Ṣafī al-Dīn al-Urmawī, in an attempt to emulate the quarter tones of Arabic music; the small intervals obtained, however, where commas, not quarter tones. In Western music, it was described among others by Arnaut de Zwolle, who mentioned one such tuning by a certain Baudecetus, who I think may have been Baudenet of Reims, late 14th century.

    Mark Lindley discussed the possible adjustments of this tuning to suit the needs of particular pieces of music, but there is no evidence that the instruments were retuned from piece to piece.

    I have little doubt that Pythagorean intonation was not used as constantly as the theorical sources seem to indicate. Yet, there is no medieval evidence of this, about which one could only speculate.

  • To say that "bellows played by hand do not allow a very precise control of the pressure" is simply wrong. Organetto players have demonstrate in the last three decades that the portativ organ can be tuned in any kind of system, pythagorian, mean tone, equal etc... It depends very much on what kind of music is played. Landini will be played differently tuned than Machault, Dunstable, Paumann ir "Alle psallute cum luya". That this kind of instrument reacts the most to pressure variations does not mean that it cannot been played in tune in any kind of tuning system. Every organetto player tunes his instrument, before playing, with a constant air pressure. The difference with the positif and big organ is that the player himself "calculates" and creates the constant air pressure. The pressure variations should only be used as an expressif means once the constant pressure has been reached successfully! And then, pitch variation possibilities and thus dynamics on the organetto very much depends on if the player is playing alone or together with other instruments. And there's a big difference if the organetto player plays with a harp player or a fiddle player ir a recirder player. Beleived me, I have experience that very offen. In this field I'm affraid that no theory will help. Experience is needed. I hugh amount of experience!
    Yours
    Christophe

    Nicolas Meeùs said:

    I have no experience of that, but I very much doubt it. On the one hand, bellows played by hand do not allow a very precise control of the pressure -- enough perhaps to produce some variation in the dynamics, but certainly not the precision needed to achieve just intonation. Besides, even in the early 15th century, organs may have been tuned in some kind of meantone tuning, with the sharps (F#, C#, G# and even D#) almost pure major thirds above the diatonic D, A, E (and B). This tuning has been described among others by Mark Lindley. I could say more about it if needed.

    Nicolas

    Michael Shields said:

    Can I ask whether you think that the dynamic possibilities could also be used to modulate pitch?

    Orgue portatif avec double soufflet
    Bonjour, quelqu'un peut-il me donner une explication au double soufflet de cet orgue ? London, British Library, Add MS 38120, 103r
  • Dire que : les " images d'orgues portatifs, qui représentent en général des instruments à peu près injouables, parce que trop grands, trop lourds, trop longs, trop larges" est également faux. Je pense que le groupe créé par Wilfried Praet, entièrement dédié aux orgues portatif sur Flickr (et où il y a actuellement plus de 1.000 images en ligne), montre que la plupart des orgues portatifs du XIII, XIV et XVème siècles sont représentés à la bonne taille et en situation de jeu. Il existe effectivement quelques exceptions d'instrument très grand (mais franchement comment faire pour savoir qu'ils sont très lourds rien qu'avec des mages...), mais qui, sur l'immense majorité des instruments de petite taille joués assis ou debout, ne sont pas relevantes. D'autre part, comme Catalina l'a justement fait remarqué, Kimberley Marshall a inclus un nombre très important d'images de portatifs et de positifs dans sa thèse de doctorat, qui vont exactement dans ce sens. Cette thèse étant d'ailleurs fort intéressante en ce qui concerne l'évolution des claviers entre le XIème et le XVème siècle. Hickmann avait déjà dans sa thèse de 1934 un nombre suffisant d'images permettant de se rendre compte que l'organetto est un instrument construit à la mesure de celui ou celle qui le joue. Enfin, la portabilité de l'instrument représenté ici n'est pas du tout remise en cause par le fait qu'il y ait 2 soufflets (Catalina a bien confirmé l'expérience que j'avais faite il y a 25 ans, pas de problème pour actionner 2 soufflets sur un portatif avec une seule et même personne, et de toute façon Zwolle décrit ce genre d'instrument) mais bien par la sangle qui n'est pas du tout placée au bon endroit. D'autres questions?...

    Nicolas Meeùs said:

    Deux éléments de réponse:

    1) Les deux soufflets, utilisés chacun par une main en alternance, permettent d'assurer un souffle sans interruption alors que l'instrument ne possède sans doute pas de réservoir régulateur. (Dans les harmoniums, de même, les deux pédales s'utilisent des deux pieds en alternance).

    2) Il faut néanmoins toujours se méfier des images d'orgues portatifs, qui représentent en général des instruments à peu près injouables, parce que trop grands, trop lourds, trop longs, trop larges. Ici par exemple, il faudrait une deuxième personne pour manoeuvrer les soufflets, ce qui rend la «portabilité» quelque peu illusoire...

    Orgue portatif avec double soufflet
    Bonjour, quelqu'un peut-il me donner une explication au double soufflet de cet orgue ? London, British Library, Add MS 38120, 103r
  • Nicolas Meeùs. To say that "bellows played by hand do not allow a very precise control of the pressure" is simply wrong. Organetto players have demonstrate in the last three decades that the portativ organ can be tuned in any kind of system, pythagorian, mean tone, equal etc... It depends very much on what kind of music is played. Landini will be played differently tuned than Machault, Dunstable, Paumann ir "Alle psallute cum luya". That this kind of instrument reacts the most to pressure variations does not mean that it cannot been played in tune in any kind of tuning system. Every organetto player tunes his instrument, before playing, with a constant air pressure. The difference with the positif and big organ is that the player himself "calculates" and creates the constant air pressure. The pressure variations should only be used as an expressif means once the constant pressure has been reached successfully! And then, pitch variation possibilities and thus dynamics on the organetto very much depends on if the player is playing alone or together with other instruments. And there's a big difference if the organetto player plays with a harp player or a fiddle player ir a recirder player. Beleived me, I have experience that very offen. In this field I'm affraid that no theory will help. Experience is needed. I hugh amount of experience!
    Yours
    Christophe
  • Merci pour cette image cher Dominique. Je tente quelques hypothèses:
    soit ce n'est pas un portatif mais un positif, soit c'est un positif à double soufflet comme Zwolle en décrit un, sauf que Zwolle place un soufflet sous le clavier, comme sur la statut du Museo del opera del duomo a Firenze, et pas côte à côte.  Dans les deux cas le résultat est d'avoir une pression d'air constante et continue un des deux soufflets étant le soufflet régulateur, c'est à dire la réserve d'air alimentée en permanence par l'autre soufflet. Et oui, cela rappelle aussi le petit harmonium portatif indien. J'ai joué une fois sur ce genre d'organetto. C'était en Suisse il y a 25 ans. Cet organetto avait été construit par Freddy Pöschl dans le Basel Land. Exactement comme celui de cette image, avec 2 soufflets côte à côte derrière les tuyaux. Pratique pour l'air continu comme sur une cornemuse mais pas très interessant au niveau dynamiques évidemment. La particularité de l'organetto de Pöschl était que l'on pouvait aussi jouer  avec un seul soufflet, donc faire des variations de pressions. Very clever! Bon ceci-dit, vu tout l'attirail que se trimbale cette Frau Musica-Sainte-Cécile, je pencherais plutôt pour un condensé de portatif et de positif dans ce cas précis, c'est-à-dire la représentation de 2 instruments en 1. Voilà pour mon interprétation de cette image. Si la question de Dominique était: existe-il historiquement des orgues portatifs à deux soufflets, la réponse est oui. Pour être vraiment serieux sur leur construit et leur fonctionnement il faudrait demander leur avis aux facteurs qui ayant effectué le plus de recherches dans ce domaine et réalisés le plus d'instruments: Van der Putten, Rohlf, Quinaglia, Stahl, Keppler, Blumenröder, Fouss et Gibellini.
    Avec mes organettistiques salutations
    Christophe Deslignes
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