r at ed, and dijf fifed in their Mediutn ; Of their difference to the Organ of 
Hearing ^ together with their Rec^ftim there, and vpGnderful Effects : Qf 
the AlatterfFcrm^^luantity^and finality of Muftcal Bodies or Sounds: 
That A<f(ifical Sounds Are originally in the Radix or ZJnifon ^ and of 
their Fluxion out of it : Of the General and Special Kinds, Differences^ 
Properties and Accidents of Sounds :0f the Truth and Faljhood of Sounds. 
2. Of the Principles of the Mathematical Part of Mufick^: Of the 
whole ^and Parts of the Scale of Mufick_: Of Sounds Equal and Unequal: 
Of the Numeration,Aidliion^SnbtraliionyMHltiplication andDivifion of 
^upcal Sounds ; Of Adufical Proportions^ and their various Species's ; 
what a Muftcal Body or ^(?/^;?^^,MatheraaticaIIy conJi^ered,\iz.as Nu^ 
merable,) is : Of Mujical Medieties,(c, Arithmetical^ Geometrical and 
Harmomcal -^together with 8 other Mujical Alediettes^of which no mention 
being made by any Mujical Author: Of the Radix's of Mujicai Numbers-^ 
and that by their Powers all thofe Numbers ^(^and no other which demon^ 
jlrate the Proportions of Sounds ^do arife:Of Mufick, Diatonic ^Chromatic^ 
and Enharmonic : Of the Principles of a Mujical Magnitude ^ what and 
how manifold they ^re ^and how^they are CunjO)ned:Of the Co/ita^,Seciion, 
Congruity, Adfcription of a Mujical Bod},': Of the Commenfur ability 
thereof : In what refpe^i a Muftcal Sound may he faid to bt Infinity and 
how to bound that Infinity, 
^^Of a Mujical SyJiem,CharaB:er^Voice^or Key: Of the Tranfpofuion 
of Keys.: Qfthe Mutation of Mujical Voices : Of Muftcal Paufes and 
Periods : Of the Denomination of Notes : Of the Moods ^ and Intervals : 
Of pure and fiorid Counter-point :0f Figurat Mufickj Of Fuges, Canons, 
jOouble-difcant ySyncope:Of theMenfuration of Sounds (called TimQ)and 
the Re don I hereof : Of Choral Muftcl^ , ^ R 0 m a n and E n g I i Hi : Of 
the Rhythmical part of Mufc^: Of the Solmifation^and Reafon thereof, 
4^Xhe Abjirufe and Dl^cult Terns of this Science are expUined:Th9' 
unneceffary andmyfltcal fubtleties ^into which thcCauJes both of theTheory 
and Praclic /)f Alujickj^ere reduced to the great obfcuring of this Art^ar^ 
omitted. : The Principles of Philofophy^ Alathematicks rammar , Rheto- 
rick^andPcetry^are applied to Muftcal Sounds ^and illustrated by them:Th€ 
-Generation of fuch Sounds isdifcopirs'dofand particularly defnonji rated, 
^,An eajie way is by this Author invented for making Airy Tunes of all 
forts by a certain Rule {which moji men thinks impojfible to be done^) and 
the Com^ojing of Z,"^ ^^^"^ ^ 6 & 7 Parts'-jwhich by the Learner may be per- 
formed in a few months'-) viz. in two months he may exquijitely and with all 
the Elegancies of Mufick^ compofe two parts'-^in three months ^three P^rts, 
and fo forward s as he ajfrms many perfonsof honor and worth have often 
experienced j which otherwife Cannot be done tn fo many years ^ 
6.Whdtfoever isgrounded upon the fever al Hypothefes and Poflulata 
in this Book^.is clearly d emonjlrated by Tables^Diagrams^Syfiems,&c* 
E R KATA , p. $132, \. 3 1. v.th ije Vctm, 
LONDON.Vnwt^i for John Martyn^Vnni^x iQ t\\^K.Smety)i6'ji, 
