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</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">Dear Nick,</font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">Rameau, in
his Traité d’Harmonie (1722) uses numbers and names for scale degrees :</font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">“Tonic
note, second note, mediante, fourth note, dominant tonic (sic), sixth note,
« note sensible », octave” (Orig. French ed. p.199). It’s interesting
that he calls them exactly “degrees of the scale”. But on theoretical level he
makes very few use of this. And there is of course, nothing resembling to
functional principle. We can consider it at best like an embrion of future
degree system.</font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">Best wishes</font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3"> </font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">Georges Bériachvili</font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">Pianist,
musicologist,</font></span></div><div><font face="Times New Roman" size="3">
</font></div><div style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><font face="Times New Roman" size="3">Paris,
France</font></span></div><div><font face="Times New Roman" size="3">
</font><br></div> <div style="font-family: garamond, new york, times, serif; font-size: 14pt;"> <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 12pt;"> <div dir="ltr"> <div style="margin: 5px 0px; padding: 0px; border: 1px solid rgb(204, 204, 204); border-image: none; height: 0px; line-height: 0; font-size: 0px;" contenteditable="false" readonly="true"></div> <font face="Arial" size="2"> <b><span style="font-weight: bold;">De :</span></b> "nick@baragwanath.com" <nick@baragwanath.com><br> <b><span style="font-weight: bold;">À :</span></b> smt-talk Talk <smt-talk@societymusictheory.org> <br> <b><span style="font-weight: bold;">Envoyé le :</span></b> Jeudi 15 mai 2014 16h11<br> <b><span style="font-weight: bold;">Objet :</span></b> [Smt-talk] Scale degrees<br> </font> </div> <div><br><div id="yiv4834730241">
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<div><font face="Arial">Dear List,</font></div><div><br></div><div><font face="Arial"><font face="Arial">does anyone know who was the first theorist to number the scale (especially in the bass) from 1 to 7? </font></font></div><div><font face="Arial"><font face="Arial"></font></font><br></div><div><font face="Arial"><font face="Arial">This is a mainstay of partimento rules, as in ‘add a 3rd and a 5th to the FIRST</font><i><font face="Arial"> </font></i><font face="Arial">of the scale, add a 3rd and a 6th to the SECOND</font><font face="Arial"> of the scale, etc.’ It remains fundamental to modern approaches to tonality. </font></font></div><div><br></div><div><font face="Arial Regular"><font face="Arial">Although a seven-note scale is implicit in the modal system, in counting intervals in counterpoint, and in the French seven-note solfa system, I have not been able to find any occurrences earlier than about 1750. Numbered
scales are commonly found in late 18th-century sources, such as </font><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">Fenaroli
(1775), Paisiello (1782), Azopardi (1786), and of course Vogler. But neither A. Scarlatti nor Durante numbered the notes of the scale. They used a Guidonian system which is incompatible with the notion of seven scale degrees. </font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'></span></font><br></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">Could scale degrees be a late 18th-century invention? </font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">Private responses are welcome. </font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size:
12pt;'></span></font><br></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">Nick Baragwanath</font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">Associate Professor in Music</font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">University of Nottingham</font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">University Park,</font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><font face="Arial">Nottingham, NG7 2RD,
UK</font></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'><a href="mailto:nicholas.baragwanath@nottingham.ac.uk" target="_blank" rel="nofollow" ymailto="mailto:nicholas.baragwanath@nottingham.ac.uk"><font face="Arial">nicholas.baragwanath@nottingham.ac.uk</font></a></span></font></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'></span></font><br></div><div><font face="Arial Regular"><span style='line-height: 115%; font-family: "Times New Roman", "serif"; font-size: 12pt;'></span></font><br></div><div><br></div><div><br></div>
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