to musicke, which science treateth of voyce and of sounds: and knoweth neuertheles disposition of kindly things & proportion of numbers, as Boctius say∣eth, & setteth ensample of the number of 1••. in comparison to .6. & to other num∣bers yt be betweene, & saith in this wise: Heere we finde all ye accorde of musicke, for •• to .6. & .9. to •••• make the proporti∣on, & make together the consonancy Di∣atesseron. But .6. to .9 & .8. to 1••. make ye proportion Se••qu••altera, and make toge∣ther the consona••••e Diapente. And 12. to 6. make double proportion. & singeth the accord Diapason. Then 8. to .9. in cō∣partion be meane, & make Epogdonus which is called Tonus in melody of Mu∣sick, and is a common measure of all the sounds, and so it is to vnderstand, yt be∣tweene Diatesseron & Diapente, Tonus is diuersitie of accordes, as betweene the proportions, Sesquitertia & Sesquialtera, onely Epogdolis is diuersitie. Huc vs{que} Boctius, in secundo Arimet••ice ca. vlt. G. And in the Prologue of the first booke Boctius sayth, yt the rather is there ver∣tue of nūbers, thereby it may be proued, that those thinges which doe stande by themselves, be rather in kind, then those things which be in comparison to some other things. And the melody of Musick is taken & called by names of the num∣bers: Diatesseron, Diapente, and Dia∣pason, haue names of ye numbers, which precedeth and goeth before in the begin∣ning of those sayde names. And the pro∣portion of their sounds is found and had in those same numbers, and is not found nor had in any other numbers. For ye shall vnderstand that the sound and the accorde in Diapason, of proportion is of the same double number, and the melody of Diatesserō doth come of Epitrite col∣latione, that is, Sesquitertia proportio. And hee calleth the accorde Diapente. He••nolia is ioyned in number Epogdo∣u••••, ther be numbers that bée aboue .8. & is called Tonus in Musicke, as he say∣eth. Sesquitertia proportio in Arime∣trike, is called Diatesseron in Musick, & Hemiolia, yt is, Sesquialtera proportio in Arimetrike, is Diapente in Musick, & Diapente & Diapason is consonante, the more voyce contemeth the lesse, and the halfe deale thereof. The number of ••••••∣quitertius conteineth the lesse number & the third part thereof, and if he contey∣neth all the fourth parte, then he is Ses¦quiquartus. And Sesquiquintus contei∣neth the lesse, and the fifth part in thus wise. Foure conteineth three, and the third part, that in one and And right contei∣neth sixe and the third part, that is t〈…〉〈…〉. And twelue conteineth nine & the third parte, that is three, and so eighteene to twelue, and twentie to 〈◊〉〈◊〉: a new 〈…〉〈…〉 of other alway 〈◊〉〈◊〉 shalt finde.