On Musical Temperaments, 375 



Corollary 16. 8 x temperament of V — 2 = Hid wolf. 

 Corollary 17. 9 x temperament of V — 2 = Vlth wolf. 

 2d. When the temperament of the major third is given. 



Corollary 18. \ x temperament of 111 — 2-2-2 — £m = 



temperament of V. 

 Corollary 19. -f. x temperament of III + 2f-2 + \m = 



temperament of VI. 

 Corollary 20. 1 8|2 -f 13.n1 — V x temperament of 111 = 



Vth wolf. 

 Corollary 21. 21S +2m- 2X temperament of III = 



Hid wolf. 



Corollary 22. 23 j 2 +2|m-|x temperament of 111 = 

 Vlth wolf. 



3d. When the temperament of the major sixth is given. 



Corollary 23. 3fSfim-j X temperament of VI = 

 temperament of V. 



Corollary 24. £- x temperament of VI — 3| 2 — im = 

 temperament of III. 



Corollary 25. y x temperament of VI r* 28-^-2 *- 2f m = 

 Vth wolf. 



Corollary 26. 28£ 2 -{- 2f m — |- x temperament of VI = 

 Hid wolf. 



Corollary 27. 32 2 -f 3 m — 3 x temperament of VI = 

 Vlth wolf. 



In order to prevent mistakes in the use of Corollary 9, 

 page 43, it may be proper to remark, that the expression 

 there given, is for the diesis between *C and bD, *F and 

 bG, and *G and bA, besides those enumerated; but not be- 

 tween *E and bF or bC and *C, where the halftones fall, 

 which have a different value, for which I will give a theorem 

 on some future occasion. 



Also page45, line 5, after "2 only," add,— see the other 

 equalities of wolves in Scholia 3 and 4. 



17 8 



In Scholium 6, after — c, — c, and --c, add, in each case, 



-—very nearly. 



At the end of Scholium 11, page 52, add, — The sharp 

 andjlat are here, by Cor. 10, each equal to 362 + f -f 3m, 

 as in Mr. Marsh's Theory of Harmonics, p. 16. 



I am, sir, 

 Your obedient humble servant, 

 Westminster, Nov. 15, 1810. JOHN FAREY. 



2A4 LXiX. On 



