Excellent compendium of musick / Renatus Des-Cartes. With necessary and judicious animadversions thereupon. By a person of honour.

  • Descartes, René, 1596-1650. Musicae compendium. English
Date:
1653
Catalogue details

Licence: Public Domain Mark

Credit: Excellent compendium of musick / Renatus Des-Cartes. With necessary and judicious animadversions thereupon. By a person of honour. Source: Wellcome Collection.

    86/124 (page 62)
    And diffreBionit caufa, Y denominate the firft Note or Term ofany Confonance , or other Muficail Intervall, an.Uzifon ; and the other, according to its difference, - an found, from che former. ^[1] Audible Differences ave as Urfible Ratzons : :For Sounds éatinot bee diftinguifhed , or their Differences known otherwife than by their mutual! habitude. un- derítand me as thus :- The Sozzds of ftrings are accord- ing to their Ratzons, not vifible Differences : for Example, as thefe three Chords have ai—12. 2p. an equali) of Ratzous : (for £ 4-12 ight 4.5 ::6.c.) fo their Sounds c Pt 4. Hef teenth : (an Usifon, Ezghth, and Fificenth ) have an equality of Differences. (For 147 — 8; - ans fle ase ate And as. thefe £12: Vazfon: three (hords have an inequality @$ 7-3 Ff LE. of Rateons: (though an sates fai Eon 4 tight & of Differences vifible s for de dtg — e, and etg — f.) fo their ‘Sounds an. Oxon Fifth, and Ezghth) have an inequal uy of tly ges ble, For as the\Ration of 4 toe, is?: (and isa Fifth. by Fig. firft, p.1o.) fo.the differenceofan Unifon and E Fifth is a Fifth.( Ita —'$,)'and as Rtof eto f tis: ; is a Fourth by Fig. firít, p. 10.) fó the differen y Fifthandan Eighth 1s a Fourth. ( $43 = 8.)And(there- fore) Sounds , thus numbred, are as it were imper- fect (becaufe not equally diftant) audible Indices . or Logarithms of their Chords, Here the Reader may obferve that fgr the Difference of an Eyghth, I havead- ded .