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      <titleStmt>
        <title>Carmen de musica cum glossis</title>
        <title type="abbrev">VILCAR</title>
        <author>Villa Dei, Alexander de</author>
        <date notBefore="1200" notAfter="1299">13th</date>
      </titleStmt>
      <editionStmt>Thesaurus Musicarum Latinarum 
      <respStmt>
        <resp>E</resp>
        <persName>Peter Slemon</persName>
      </respStmt>
      <respStmt>
        <resp>C</resp>
        <persName>Bradley Jon Tucker</persName>
      </respStmt>
      <respStmt>
        <resp>A</resp>
        <persName>Thomas J. Mathiesen</persName>
      </respStmt>
      <date>1994</date></editionStmt>
      <sourceDesc>
        <bibl type="edition">
Alexander de Villa Dei, 
<emph>Carmen de musica cum glossis</emph>, ed. Albert Seay, Critical Texts, no. 5 (Colorado Springs: Colorado College Music Press, 1977), 1–25. As a work, this treatise is in the public domain. As a raw transcription, this file is free of copyright and may be reproduced and distributed freely.
</bibl>
        <bibl type="work">
          
<title>Anonymous: Versus de musica</title>
          
<idno type="LML">VERS. Postquam pro</idno>
        
</bibl>
        <listWit>
          <witness>
            <idno type="RISM">I-Rvat Cappon. lat. 206, 3-15</idno>
          </witness>
        </listWit>
      </sourceDesc>
    </fileDesc>
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    <body>
      <p id="VILCAR0001">
      <pb n="[1]" />(f. 3r)</p>
      <p id="VILCAR0002">Postquam pro rudibus,[a] fabricavi[b] materiale,[c]</p>
      <p id="VILCAR0003">a: id est, novis scolaribus; b: matrice; c: continens derivationes quae sunt in significatione.</p>
      <p id="VILCAR0004">Gramatice partes[a] reseraris cum carmine[b] multo.</p>
      <p id="VILCAR0005">a: scilicet, nomina, verba et alia; b: quia sunt 30,000 metra vel ultra.</p>
      <p id="VILCAR0006">Nunc pro posse[a] mio consurgat[b] regula[c] cantus[d]</p>
      <p id="VILCAR0007">a: id est, in mia senectute; b: id est, appareat; c: musicae; d: cantus ecclesiastici.</p>
      <p id="VILCAR0008">Ecclesiae,[a] pueri quae[b] possint, noscere[c] plene.[d]</p>
      <p id="VILCAR0009">a: romanae; b: regula; c; scilicet, artem cantus; d: id est, perfecte.</p>
      <p id="VILCAR0010">Non loquor[a] ad magnos, pueros[c] nam curo[d] docere</p>
      <p id="VILCAR0011">a: ego magister; b: id est, doctores; c: ignares; d: intendo.</p>
      <p id="VILCAR0012">Otia[a] quod fugiant, ludos vanosque[b] relinquant,[c]</p>
      <p id="VILCAR0013">a: id est, pigritia quae sunt animae inimica ut pueri supernant; b: id est, inutiles; c: pueri.</p>
      <p id="VILCAR0014">Cantibus[a] ergo vacent,[b] fiant ylaresque[c] canendo.</p>
      <p id="VILCAR0015">a: ecclesiasticis et non ludis; b: pueri; c: gaudiosi.</p>
      <p id="VILCAR0016">Ingenitus,[a] genitus, nec non et spiritus almus[c]</p>
      <p id="VILCAR0017">a: id est, pater; b: id est, filius; c: scilicet, sanctus.</p>
      <p id="VILCAR0018">Infundat[a] donum,[b] quo cantibus[c] hiis veneremur,[d]</p>
      <p id="VILCAR0019">a: id est, concedat; b: nobis gratiam; c: scilicet, devotis et ecclesiasticis; d: laudemus et honoremus.</p>
      <p id="VILCAR0020">Trinum personis[a] unum deitate manentem.</p>
      <p id="VILCAR0021">a: id est, patrem et filium et spiritum sanctum in unitate deitatis substantiae.</p>
      <p id="VILCAR0022">
      <pb n="[2]" />Primum Capitulum</p>
      <p id="VILCAR0023">Sex tamen in partes, opus hoc divisimus apte.[a]</p>
      <p id="VILCAR0024">a: id est, convenienter.</p>
      <p id="VILCAR0025">Gramata[a] prima[b] tenetque modos conscribo[c] canendi.</p>
      <p id="VILCAR0026">a: id est, litteras; b: pars; c: in eadem parte.</p>
      <p id="VILCAR0027">De numero vocum veterum[a] tractabo[b] secunda.[c] (f. 3v)</p>
      <p id="VILCAR0028">a: magistrorum; b: id est, dicam; c: scilicet, parte.</p>
      <p id="VILCAR0029">Tertia[a] monstrabit cantus sint[b] consona[c] septem.</p>
      <p id="VILCAR0030">a: pars; b: quod; c: id est, consonantiae.</p>
      <p id="VILCAR0031">Quarta[a] [rob] molle tenens,[b] et causam[c] quae reperitur.[d]</p>
      <p id="VILCAR0032">a: pars; b: est; c; id est, rationem; d: id est, quare fuit inventum.</p>
      <p id="VILCAR0033">Quinta[a] tonos resereat,[b] de principio[c] quoque fine,[d]</p>
      <p id="VILCAR0034">a: pars; b: id est, manifestat; c: qualiter incipere debeant; d: et qualiter terminare.</p>
      <p id="VILCAR0035">Biscantus[a] species reserabit[b] in ordine sexta.[c]</p>
      <p id="VILCAR0036">a: id est, contrapuncti; b: id est, manifestabit; c: pars.</p>
      <p id="VILCAR0037">Conposui veterum[a] de prosis carmina cantus.</p>
      <p id="VILCAR0038">a: id est, magistrorum.</p>
      <p id="VILCAR0039">Corrige lector opus, si quae contraria[a] cantant.</p>
      <p id="VILCAR0040">a: sunt regulis musicae artis.</p>
      <p id="VILCAR0041">Docte vides, Christum, pro nobis ergo rogato.</p>
      <p id="VILCAR0042">Quae[a] correcta manent,[b] moneo te corde locato</p>
      <p id="VILCAR0043">a: ea; b: id est, stant.</p>
      <p id="VILCAR0044">Carmina[a] gramaticis, si pallent[b] scripta figuris,</p>
      <p id="VILCAR0045">a: ista; b: id est, oscurantur.</p>
      <p id="VILCAR0046">Quis[a] non miretur, potius[b] sed nomina vocum.[c]</p>
      <p id="VILCAR0047">a: aliquis; b: id est, melius miretur; c: vocabula artis musicae.</p>
      <p id="VILCAR0048">
      <pb n="[3]" />Hoc[a] iuvenes[b] studeant; dent laudes undique[c] Christo.</p>
      <p id="VILCAR0049">a: scilicet, opus; b: scolares; c: id est, semper, scilicet, cantando et biscantando.</p>
      <p id="VILCAR0050">Explicit Prologus. Incipit tractatus capitulo primo.</p>
      <p id="VILCAR0051">Tres cantando modos non plures nunc reperimus,</p>
      <p id="VILCAR0052">Per [sqb] quadratum,[a] naturam,[b] [c][rob] quoque molle.[d] (f. 4r)</p>
      <p id="VILCAR0053">a: primus modus; b: per secundus modus; c: per; d: tertius modus.</p>
      <p id="VILCAR0054">C[a] dat naturam, dedit ut F [b][rob] sibi molle,</p>
      <p id="VILCAR0055">a: haec littera; b: per.</p>
      <p id="VILCAR0056">G[a] quoque [sqb] durum:[b] sic cantum noscite[c] purum.[d]</p>
      <p id="VILCAR0057">a: haec littera; b: id est, quadrum; c: o scolares; d: id est, perfectum.</p>
      <p id="VILCAR0058">Quae venit ut de C natura tenebit aperte.[a]</p>
      <p id="VILCAR0059">a: id est, manifeste.</p>
      <p id="VILCAR0060">Quid datur ut ex F[a] per [rob] vos psallite[b] molle.</p>
      <p id="VILCAR0061">a: ista littera; b: o vos scolares.</p>
      <p id="VILCAR0062">Quidlibet ut[a] de G resonat[b] per [sqb] sibi quadrum.</p>
      <p id="VILCAR0063">a: veniens; b: id est, cantat.</p>
      <p id="VILCAR0064">Quomodo cantatur omnis vox.</p>
      <p id="VILCAR0065">Ex C[a] natura[b] vox[c] nascens organat omnis.</p>
      <p id="VILCAR0066">a: ubi littera; b: per naturam; c: sicut sunt ut, re, mi, fa, sol, la.</p>
      <p id="VILCAR0067">[a][rob] molle cantabit F quaque vox[b] sibi generabit.</p>
      <p id="VILCAR0068">a: per; b: omnis, scilicet, ut, re, et caetera.</p>
      <p id="VILCAR0069">Vox[a] veniens ex G cantabit per [sqb] quadrum.</p>
      <p id="VILCAR0070">a: omnis, ut, re, et caetera, ut supra.</p>
      <p id="VILCAR0071">
      <pb n="[4]" />Quot litterae sunt in qualibus neuma.</p>
      <p id="VILCAR0072">Omni[a] namque loco sinistrae[b] discite[c] palmae.[d]</p>
      <p id="VILCAR0073">a: id est, iunctura; b: manus; c: o scolares; d: quod.</p>
      <p id="VILCAR0074">Littera sola[a] manet, excepto [rob] fa [sqb] mi, quo[b]</p>
      <p id="VILCAR0075">a: id est, una; b: id est, in qua iunctura et medio spacio.</p>
      <p id="VILCAR0076">Littera[a] extat dupple ex [sqb] quadrum, molle figuris.[b] (f. 4v)</p>
      <p id="VILCAR0077">a: scilicet, [rob], [sqb]; b: cum suis.</p>
      <p id="VILCAR0078">Ast[a] ubi[b] scribo notas binas[c] mutatio[d] bina;</p>
      <p id="VILCAR0079">a: pro sed; b: id est, in qua iunctura; c: id est, duas; d: ibi fiat, scilicet, ascendendo et descendendo.</p>
      <p id="VILCAR0080">Deque tribusque[a] notis, fiat mutatio[b] sena;</p>
      <p id="VILCAR0081">a: id est, ubi sunt tres notae; b: ibi sex mutationes ascendendo et descendendo.</p>
      <p id="VILCAR0082">Unici[a] si fuerit, fiat [b]mutatio nulla.</p>
      <p id="VILCAR0083">a: id est, una nota; b: nulla fiat mutatio.</p>
      <p id="VILCAR0084">Ubi mutationes non sunt faciendae.</p>
      <p id="VILCAR0085">Pollice[a] non fiat mutatio, nec[b] [rob] fa [sqb] mi.[c]</p>
      <p id="VILCAR0086">a: id est, in summitate et duabus iuncturis sequentibus pollicis; b: etiam; c: in acumine per IV digiti, et in secunda iunctura [tertii] (ms.: quarti) digiti.</p>
      <p id="VILCAR0087">E la sit hiis iuncta, quae palmam scribitur extra.[a]</p>
      <p id="VILCAR0088">a: scilicet, manum.</p>
      <p id="VILCAR0089">Quot sunt materies in tota manu.</p>
      <p id="VILCAR0090">Materias septem cantus,[a] dic[b] gramata[c] septem,</p>
      <p id="VILCAR0091">a: fore; b: o lector; c: id est, litteras.</p>
      <p id="VILCAR0092">Materiam primam tibi gamma[a] dat, Cque[b] secundam,[c]</p>
      <p id="VILCAR0093">a: ut gravissimum; b: ut grave; c: dat materiam.</p>
      <p id="VILCAR0094">
      <pb n="[5]" />F[a] tibi dat tertiam,[b] G[c] quartam,[d] C[e] sed acutum;</p>
      <p id="VILCAR0095">a: ut grave; b: materiam; c: ut grave; d: materiam; e: ut acutum.</p>
      <p id="VILCAR0096">Tradidit et quintam,[a] F[b] sextam[c] Gque[d] supremam.</p>
      <p id="VILCAR0097">a: materiam; b: ut acutum; c: materiam; d: ut acutum; e: id est, ultima[m] septimam materiam.</p>
      <p id="VILCAR0098">Quot sunt claves cantus.</p>
      <p id="VILCAR0099">Claves[a] disce[b] duas, F[c] gravis, post C stat acutum.[d]</p>
      <p id="VILCAR0100">a: cantus; b: o lector; c: est prima; d: id est, secunda clavis est C acutum.</p>
      <p id="VILCAR0101">Cantus in hiis[a] solum distinctus[b] semper hebetur</p>
      <p id="VILCAR0102">a: clavibus; b: id est, divisus.</p>
      <p id="VILCAR0103">Auctoritas musicalis. (f. 5r)</p>
      <p id="VILCAR0104">Cum veterum[a] doctrina fluat[b] per sexque novorum[c]</p>
      <p id="VILCAR0105">a: magistrorum; b: si constat; c: magistrorum.</p>
      <p id="VILCAR0106">Voces [a] non plures, quas[b] monstrant gramata[c] septem;</p>
      <p id="VILCAR0107">a: et; b: scilicet, voces; c: id est, litterae.</p>
      <p id="VILCAR0108">A,[a] B,[b] C[c] dicuntur, D,[d] E,[e] F[f], post ultima sit G.[g]</p>
      <p id="VILCAR0109">a: prima; b: secunda; c: tertia; d: 4; e: 5; f: sexta; g: septima.</p>
      <p id="VILCAR0110">Gramata[a] dicta[b] notant,[c] ut, re, mi, fa, sol, la canendo,[d]</p>
      <p id="VILCAR0111">a: id est, litterae; b: dictae; c: sex voces; d: cantando.</p>
      <p id="VILCAR0112">Gramata[a] prima gravem, medio[b] de pollice cantum,</p>
      <p id="VILCAR0113">a: primae litterae; b: id est, ab A grave.</p>
      <p id="VILCAR0114">Dant tibi quae veniunt,[a] post[b] gramata[c] dant sed acutum.[d]</p>
      <p id="VILCAR0115">a: procedunt; b: id est, quae veniunt; c: id est, litteris; d: cantum.</p>
      <p id="VILCAR0116">Quam[a] superat veniens[b] post hunc,[c] veniens[d] superabitur.</p>
      <p id="VILCAR0117">a: scilicet, cantum acutum; b: scilicet, alius superacutum; c: cantum; d: scilicet, acutissimus.</p>
      <p id="VILCAR0118">
      <pb n="[6]" />Ut varius[a] cantus, tetracordum[b] dico repertum[c];</p>
      <p id="VILCAR0119">a: fiat; b: scilicet, E acutissimum; c: fuisse. In margin: Hic est quaedam figura quae dicitur antipophora, quia est responsio tacitae quaestionis.</p>
      <p id="VILCAR0120">Hic super hos[a] oritur cantum[b] reddendo per altum,[c]</p>
      <p id="VILCAR0121">a: superacutos; b: scilicet, tetracordum; c: id est, altissimum.</p>
      <p id="VILCAR0122">Hanc[a] similiter ex causa, reperimus[b] [rob][c] quoque rotundus.</p>
      <p id="VILCAR0123">a: id est, ut varius fiat cantus; b: nos; c: id est, molle.</p>
      <p id="VILCAR0124">Post artem cantus medio[a] [rob] molle signatur,[b]</p>
      <p id="VILCAR0125">a: scilicet, ventriculo per III digiti et secunda iunctura quarti digiti; b: id est, scribatur.</p>
      <p id="VILCAR0126">Inter A [sqb] quadrum [rob][a] molle extat illud acutum,[b]</p>
      <p id="VILCAR0127">a: ergo; b: et etiam superacutum.</p>
      <p id="VILCAR0128">Duriciem[a] trytoni[b] maturet[c] voce sonora. (f. 5v)</p>
      <p id="VILCAR0129">a: id est, asperitatem cantus; b: scilicet, [rob] molle; c: id est, cum pulchra et dulci melodia.</p>
      <p id="VILCAR0130">Taedia[a] tolluntur[b] pro cantu[c] sic variato.</p>
      <p id="VILCAR0131">a: cantorum et auditorum; b: id est, removentur; c: scilicet, propter duriciem tritoni.</p>
      <p id="VILCAR0132">Forma[a] tamen talis[b] [sqb] quadri, [rob] quoque rotundi;[c]</p>
      <p id="VILCAR0133">a: id est, figura; b: est; c: ut hic patet.</p>
      <p id="VILCAR0134">Propter[a] dico sonum [sqb] nomino molle quadratum,</p>
      <p id="VILCAR0135">a: propter concordationem cantus.</p>
      <p id="VILCAR0136">Gramata[a] gamma[b] super[c] septem de iure locatur,</p>
      <p id="VILCAR0137">a: hic littera; b: [Gamma]; c: id est, in cacumine pollicis.</p>
      <p id="VILCAR0138">Vendicat[a] ingressus[b] ad primum Aque gravemque.</p>
      <p id="VILCAR0139">a: [Gamma], id est, habeat; b: id est, introitum.</p>
      <p id="VILCAR0140">Dyapason[a] reddat proprium, G gravi mirantur.[b]</p>
      <p id="VILCAR0141">a: [Gamma]; b: id est, inclusive.</p>
      <p id="VILCAR0142">Et quia iam graecos[a] cantum reperisse fatemur,[b]</p>
      <p id="VILCAR0143">a: doctores; b: nos confitemur.</p>
      <p id="VILCAR0144">
      <pb n="[7]" />Gamma[a] est[b] principio,[c] graecorum scripta decore[e]</p>
      <p id="VILCAR0145">a: [Gamma], haec littera; b: in; c: scilicet, manus; d: doctorum; e: id est, ad honorem.</p>
      <p id="VILCAR0146">Gammaque diversum,[a] sic inter gramata[b] ponit.</p>
      <p id="VILCAR0147">a: id est, diversitatem nominationis; b: id est, litteras.</p>
      <p id="VILCAR0148">Musica[a] sex retinet prodoctos[b] ordine[c] voces.[d]</p>
      <p id="VILCAR0149">a: id est, ars; b: secundum doctrinam doctorum; c: id est, perordinem; d: scilicet, ut, re, mi, fa, sol, la.</p>
      <p id="VILCAR0150">De consonantiis tertium capitulum.</p>
      <p id="VILCAR0151">Sunt aliae voces[a] proprio quas nomine primo;[b]</p>
      <p id="VILCAR0152">a: id est, consonantiae cantuum; b: id est, manifesto.</p>
      <p id="VILCAR0153">Est tonus[a] in primo,[b] post semitonusque[c] secundo,[d]</p>
      <p id="VILCAR0154">a: prima consonantia; b: ordine; c: secunda consonantia; d: est in ordine.</p>
      <p id="VILCAR0155">Dytonus[a] est trino,[b] post[c] semique dytonus[d] astet;[e] (f. 6r)</p>
      <p id="VILCAR0156">a: tertia consonantia; b: ordine; c: in quarto ordine; d: quarta consonantia; e: id est, sit.</p>
      <p id="VILCAR0157">Inde[a] dyatesseron,[b] dyapenteque,[c] post[d] dyapason.[e]</p>
      <p id="VILCAR0158">a: in quinto ordine; b: quinta consonantia; c: in [sexto] (ms.: quinto), sexta consonantia; d: in septimo ordine; e: octava consonantia.</p>
      <p id="VILCAR0159">Quilibet hiis[a] cantus rutilat[b] scandendo[c] ruendo.[d]</p>
      <p id="VILCAR0160">a: in consonantiis; b: id est, resonando lucet; c: ascendendo; d: et descendendo.</p>
      <p id="VILCAR0161">Et simul atque sono dicuntur consona quaeque.[a]</p>
      <p id="VILCAR0162">a: id est, quaecumque consonantiae.</p>
      <p id="VILCAR0163">De tono quid sit et invenitur.</p>
      <p id="VILCAR0164">Quid tonus[a] alter ubi[b] reperitur noscere quaeris.</p>
      <p id="VILCAR0165">a: sit; b: in quo loco.</p>
      <p id="VILCAR0166">
      <pb n="[8]" />De prope[a] iunctarum, vocum spaciumque[b] duarum,</p>
      <p id="VILCAR0167">a: id est, iuxta vel in medietate; b: tonus est.</p>
      <p id="VILCAR0168">A B[a] tonum donant,[b] C D,[c] post F (ms.: C), quoque[d] Gque[e],</p>
      <p id="VILCAR0169">a: istae duae litterae graves; b: tonum; c: graves; d: pro etiam; e: graves donant tonum.</p>
      <p id="VILCAR0170">Caetera[a] sic teneas[b] quae talibus[c] assimilantur.</p>
      <p id="VILCAR0171">a: id est, alias litteras; b: sic teneas; c: supradictis.</p>
      <p id="VILCAR0172">Voces[a] namque[b] duae si iunctae sunt simul omnes;</p>
      <p id="VILCAR0173">a: quod; b: certe.</p>
      <p id="VILCAR0174">Scito[a] tonum donant: exemplis, ut re, re mi, dic.</p>
      <p id="VILCAR0175">a: lector.</p>
      <p id="VILCAR0176">Fa sol coniungas, post talia cantabo sol la.</p>
      <p id="VILCAR0177">De semitono.</p>
      <p id="VILCAR0178">Semitonum[a] faciunt mi fa, fa mique canendo.</p>
      <p id="VILCAR0179">a: id est, medium tonum.</p>
      <p id="VILCAR0180">Semitonum[a] vocum spacium[b] nunc dico duarum</p>
      <p id="VILCAR0181">a: faciunt; b: quod.</p>
      <p id="VILCAR0182">Imperfectarum, [sqb] C,[a] sic post E fugit in F. (f. 6v)</p>
      <p id="VILCAR0183">a: exemplum sicut in hoc versu.</p>
      <p id="VILCAR0184">A sed acutus[a] eum resonans ad [rob] quoque molle.</p>
      <p id="VILCAR0185">a: faciunt semitonum.</p>
      <p id="VILCAR0186">Fertur semitonus vellud imperfectus ab arte.[a]</p>
      <p id="VILCAR0187">a: musica.</p>
      <p id="VILCAR0188">Instrumenta[a] notant quae musica continet apte.</p>
      <p id="VILCAR0189">a: scilicet, organorum.</p>
      <p id="VILCAR0190">Quod minor ipse tono sit semitonus, quia voces</p>
      <p id="VILCAR0191">Irruat perfectas, id est, certius[a] ipse[b] repertum.[c]</p>
      <p id="VILCAR0192">a: id est, vade ad organa; b: tu; c: ad inveniendum.</p>
      <p id="VILCAR0193">
      <pb n="[9]" />De dytono</p>
      <p id="VILCAR0194">Dytonus[a] est spacium quod[b] continet[c] aio[d] tonorum.</p>
      <p id="VILCAR0195">a: quod; b: scilicet, spacium; c: in se; d: dico.</p>
      <p id="VILCAR0196">Inde[a] duosque tonos[b] perfectorumque duorum,</p>
      <p id="VILCAR0197">a: postea; b: perfectos.</p>
      <p id="VILCAR0198">Ut[a] mi si cantes,[b] fa la coniunctis utrumque.[b]</p>
      <p id="VILCAR0199">a: exemplum; b: scilicet, mi ut et la fa.</p>
      <p id="VILCAR0200">De semidytono</p>
      <p id="VILCAR0201">Unius est spaciumque toni semidytonus atque</p>
      <p id="VILCAR0202">Semitoni[a] cantes[b] re fa, mi sol retro verte.[c]</p>
      <p id="VILCAR0203">a: scilicet, unius; b: o lector; c: sol mi, fa re, id est, e converso.</p>
      <p id="VILCAR0204">De dyatesseron</p>
      <p id="VILCAR0205">Quatuor et voces tibi dat dyatesseron, estat[a]</p>
      <p id="VILCAR0206">a: id est, constat.</p>
      <p id="VILCAR0207">Deque[a] tonis binis[b] et semitono[c] quoque[d] simplo[e]</p>
      <p id="VILCAR0208">a: pro et; b: id est, duobus; c: uno; d: pro etiam; e: uno.</p>
      <p id="VILCAR0209">Ut fa[a] canendo [b]puer, re sol, mi la sociando.(f. 7r)</p>
      <p id="VILCAR0210">a: exemplum; b: o.</p>
      <p id="VILCAR0211">Sic ascendendo,[a] sic descendendo[b] sonabis.[c]</p>
      <p id="VILCAR0212">a: ut fa, re sol, mi la; b: la mi, sol re, fa ut; c: id est, cantabis.</p>
      <p id="VILCAR0213">De dyapente</p>
      <p id="VILCAR0214">Quinque[a] tenet voces huic[b] dicitur et dyapente.</p>
      <p id="VILCAR0215">a: quod; b: id est, prius ea.</p>
      <p id="VILCAR0216">Ex tribus ergo tonis[a] et semitono fluet[b] uno.</p>
      <p id="VILCAR0217">a: dyapente; b: id est, constat.</p>
      <p id="VILCAR0218">
      <pb n="[10]" />Ut sol[a] cantabis,[b] re la scandendo[c] ruendo.[d]</p>
      <p id="VILCAR0219">a: exemplum; b: o lector; c: id est, ascendendo ut sol, re la; d: descendendo, la re, sol ut.</p>
      <p id="VILCAR0220">[De dyapason]</p>
      <p id="VILCAR0221">[a]Dyapason voces numerando continet octo.</p>
      <p id="VILCAR0222">a: Hic ponit magister quod dyapason continet in se octo voces, quia in eo consistit omnis coniunctio ipsius cantus et constat ex quinque tonis et duobus semitonis. Oritur autem ab A grave, ascenditur usque ad A acutum et de [sqb] grave usque ad [sqb] acutum, hoc est [sqb] quadro, et de C gravi usque ad C acutum, et sic de littera in litteram.</p>
      <p id="VILCAR0223">Omnis namque[a] sibi cantus coniunctio sistit;</p>
      <p id="VILCAR0224">a: certe.</p>
      <p id="VILCAR0225">Quinque tonis splendet[a] cum semitonisque duobus.</p>
      <p id="VILCAR0226">a: dyapason.</p>
      <p id="VILCAR0227">Aque[a] gravi surgens, accenditur[b] A sed acutum.</p>
      <p id="VILCAR0228">a: ab; b: id est, ascendit usque.</p>
      <p id="VILCAR0229">De [sqb][a] gravi rotulans[b] se terminat ad [sqb] acutum;</p>
      <p id="VILCAR0230">a: dyapason; b: incipiens.</p>
      <p id="VILCAR0231">De C gravi florens[a] similter[b] ad C consimilatum.[c]</p>
      <p id="VILCAR0232">a: incipiens; b: id est, tenditur usque; c: scilicet, acutum.</p>
      <p id="VILCAR0233">Et sic (in marg) connumeres per caetera[a] grammata tales[b].</p>
      <p id="VILCAR0234">a. id est, per omnes litteras quae sunt in manu; b: voces deinceps.</p>
      <p id="VILCAR0235">[sqb] gravis excipitur, quia dyapason reperitur</p>
      <p id="VILCAR0236">a: inter talia.</p>
      <p id="VILCAR0237">Ad [rob] non molle, sed [a][sqb] quadrum tenet illud.[b] (f. 7v)</p>
      <p id="VILCAR0238">a: [sqb] gravis ad; b: id est, dyapason.</p>
      <p id="VILCAR0239">[a]Quatuor ergo tonis, cum semitonisque[b] tribusque,</p>
      <p id="VILCAR0240">a: ex; b: et id circo nec est in dyapason.</p>
      <p id="VILCAR0241">
      <pb n="[11]" />Hoc spacium[a] constat nec talia[b] quisque negaret.[c]</p>
      <p id="VILCAR0242">a: scilicet, de [sqb] gravi ad [rob] molle; b: quia hoc est certum; c: aliquis magistrorum.</p>
      <p id="VILCAR0243">Gamma tonum generat per A, quid sibi de prope[a] cantat.</p>
      <p id="VILCAR0244">a: iuxta.</p>
      <p id="VILCAR0245">A[a] [sqb] tonum faciet; [sqb][b] C semitonum tibi praestat.</p>
      <p id="VILCAR0246">a: ad; b: ad.</p>
      <p id="VILCAR0247">C tonus ex[a] D venit; quem[b] dat D[c] E; semitonum dic</p>
      <p id="VILCAR0248">a: ad; b: tonum; c: ad.</p>
      <p id="VILCAR0249">E[a] F; F[b] G tonus,[c] quem[d] G[e] A[f]. Aque[g] [rob] molle</p>
      <p id="VILCAR0250">a: ad; b: ad; c: est; d: tonum; e: ad; f: dat; g: ad.</p>
      <p id="VILCAR0251">Semitonum celebrat.[a] [rob][b] molle[c] D sed acutum</p>
      <p id="VILCAR0252">a: id est, cantat; b: quidem; c: ad.</p>
      <p id="VILCAR0253">Scito tonum resonat,[a] quem[b] A cum [sqb] quoque quadro.[c]</p>
      <p id="VILCAR0254">a: id est, cantat; b: tonum; c: cantat.</p>
      <p id="VILCAR0255">Hunc [sqb] semitonum sic[a] C produc acutum.</p>
      <p id="VILCAR0256">a: ad.</p>
      <p id="VILCAR0257">C[a] D tonum retinet quem[b] D[c] E simul retinebit.</p>
      <p id="VILCAR0258">a: ad; b: tonum; c: ad.</p>
      <p id="VILCAR0259">Semitonus veniat ex E[a] F, F[b] G tonus dic.</p>
      <p id="VILCAR0260">a: ad; b: ad.</p>
      <p id="VILCAR0261">G[a] A tonum capiet, sed semis[b] dans[c] A[d] [rob] molle.</p>
      <p id="VILCAR0262">a: ad; b: semitonum: c: est; d: ad.</p>
      <p id="VILCAR0263">Molle [rob][a] Cque tonus. A[b] [sqb] quadrumque tonumque. (f. 8r)</p>
      <p id="VILCAR0264">a: ad; b: ad.</p>
      <p id="VILCAR0265">Semitonum [sqb][a] C dat. [b]C[c] Dque tonus resonabit.[d]</p>
      <p id="VILCAR0266">a: ad; b: ab; c: ad; d: id est, cantabit.</p>
      <p id="VILCAR0267">[a]D tonus[b] [c]E summum.[d] Sic fulget[e] musica palma.[f]</p>
      <p id="VILCAR0268">a: ex; b: est; c: ad; d: id est, ultimum; e: id est, fulgendo arrimatur; f: manus musicae.</p>
      <p id="VILCAR0269">
      <pb n="[12]" />Quatuor ipse tonus compunctos fertur habere,</p>
      <p id="VILCAR0270">Ut[a] re, re mi sunt, fa sol, postea iungito sol la.</p>
      <p id="VILCAR0271">a: exemplum.</p>
      <p id="VILCAR0272">Hic mi fa semitonus compunctum continet unum;</p>
      <p id="VILCAR0273">Vocibus ipse tonus fertur constare duabus,</p>
      <p id="VILCAR0274">Unica[a] cum spacioque[b] tonum constringere[c] corda.</p>
      <p id="VILCAR0275">a: id est, una; b: scilicet, uno; c: fertur.</p>
      <p id="VILCAR0276">Dytonus ipse locis[a] a gamma [b][sqb] reperitur.</p>
      <p id="VILCAR0277">a: istis qui sequuntur; b: ad.</p>
      <p id="VILCAR0278">Ex C principiat[a] et ad E se terminat atque</p>
      <p id="VILCAR0279">a: ipse dytonus.</p>
      <p id="VILCAR0280">Tertius[a] ex F consurgit secundum ad A retinendo,</p>
      <p id="VILCAR0281">a: dytonus.</p>
      <p id="VILCAR0282">Deque G consurgit [a][sqb][b] quadrum stringere[c] fertur.</p>
      <p id="VILCAR0283">a: usque; b: ad; c: se.</p>
      <p id="VILCAR0284">Molle [rob][a] D capiens,[b] sic dytonus est manifestus.</p>
      <p id="VILCAR0285">a: ad; b: ipse dytonus est.</p>
      <p id="VILCAR0286">Binos[a] compunctos, ut mi, fa la retinendo (f. 8v)</p>
      <p id="VILCAR0287">a: id est, duos.</p>
      <p id="VILCAR0288">Vocibus[a] ipse [b]tribus constituitque tonisque [c]duobus.</p>
      <p id="VILCAR0289">a: dytonus; b: ex; c: ex.</p>
      <p id="VILCAR0290">Inde[a] semitoni naturam sic reseramus.[b]</p>
      <p id="VILCAR0291">a: postea; b: id est, manifestamus.</p>
      <p id="VILCAR0292">Et loci consignes[a] ex A, consurgit et ad C,[b]</p>
      <p id="VILCAR0293">a: id est, volo quod; b: semidytonus.</p>
      <p id="VILCAR0294">Ex [rob] [a]D, post ex D[b] se secundum terminat[c] in F.</p>
      <p id="VILCAR0295">a: ad; b: semidytonus consurgit; c: semi[dy]tonus.</p>
      <p id="VILCAR0296">
      <pb n="[13]" />Ex E [a]G, consurgens[b] post ex G [c][rob] dato molle.[d]</p>
      <p id="VILCAR0297">a: ad; b: semi[dy]tonus est; c: ad; d: semi[dy]tonum.</p>
      <p id="VILCAR0298">Et capit[a] A C, tenet [sqb] quadrum [b]D retinendo.</p>
      <p id="VILCAR0299">a: semi[dy]tonus; b: ad.</p>
      <p id="VILCAR0300">Unicus[a] huicque[b] tonus et semitonus manum unus;</p>
      <p id="VILCAR0301">a: unus; b: semitono.</p>
      <p id="VILCAR0302">Binos compunctos re[a] fa, sibi[b] tradite[c] [d]mi sol.</p>
      <p id="VILCAR0303">a: scilicet; b: scilicet, semitono; c: id est, date; d: et.</p>
      <p id="VILCAR0304">Ad C[a] gamma dyatesseron,[b] [c]A[d] sonabit.[e]</p>
      <p id="VILCAR0305">a: de; b: cantat; c: ab; d: ad; e: id est, cantabit.</p>
      <p id="VILCAR0306">Exque B[a] E retine,[b] cui post[c] C[d] F dato,[e] D[f] G.</p>
      <p id="VILCAR0307">a: ad; b: dyatesseron; c: de; d: ad; e: et de; f: ad.</p>
      <p id="VILCAR0308">[a]E fluit[b] A, capiens[c] ex F[d] [rob], si ibi molle.</p>
      <p id="VILCAR0309">a: de; b: id est, [ascendit] (ms: descendit); c: est; d: ad.</p>
      <p id="VILCAR0310">Cessat[a] ab F ad [rob] quadrum quia[b] tresque tonosque</p>
      <p id="VILCAR0311">a: dyatesseron; b: ratio.</p>
      <p id="VILCAR0312">Ars[a] dedit. Inde[b] venit[c] de G ad C siliendo. (f. 9r)</p>
      <p id="VILCAR0313">a: musicae; b: postea; c: dyatesseron.</p>
      <p id="VILCAR0314">[a]A tum ad D salit,[b] ex b molli negat[c] [d]ad E;</p>
      <p id="VILCAR0315">a: ab; b: dyatesseron; c: dyatesseron; d: ars.</p>
      <p id="VILCAR0316">[sqb] quadratus eum donat[a] cum scandit ad Eque.[b]</p>
      <p id="VILCAR0317">a: id est, dyatesseron; b: pro et.</p>
      <p id="VILCAR0318">[a]Uno semitono [b]constansque[c] tonisque [d]duobus,</p>
      <p id="VILCAR0319">a: et ex; b: dyatesseron; c: pro et; d: ex.</p>
      <p id="VILCAR0320">Tres sibi compunctos,[a] ut fa, re sol, mi la retinendo.</p>
      <p id="VILCAR0321">a: exemplum.</p>
      <p id="VILCAR0322">Huic[a] dyapente sonat de gamma D[b] prope surgens;</p>
      <p id="VILCAR0323">a: postea; b: quid est prope se, id est, principans.</p>
      <p id="VILCAR0324">
      <pb n="[14]" />A dedit[a] [b]E finem. De [sqb][c] F cessat ab[d] arte</p>
      <p id="VILCAR0325">a: id est, incipiens ab A; b: ad; c: ad; d: per.</p>
      <p id="VILCAR0326">Ut pate inferius; post surgit ab C[a] G canendo.</p>
      <p id="VILCAR0327">a: ad.</p>
      <p id="VILCAR0328">Exque D proveniens[a] et ad A; secundum[b] E nonque[c] [rob] molle,</p>
      <p id="VILCAR0329">a: est; b: ex, c: est dyapente.</p>
      <p id="VILCAR0330">Ut tibi post dicam, tum ex E ad [sqb] quadratum.</p>
      <p id="VILCAR0331">Permanet ex F[a] tamen ad C, secundum de G[b] D cantat.[c]</p>
      <p id="VILCAR0332">a: dyapente; b: ad; c: dyapente.</p>
      <p id="VILCAR0333">A[a] dat ad E[b] dyapente, tamen [rob][c] mollis ad F; [sqb] (ms.: F)</p>
      <p id="VILCAR0334">a: acutum; b: acutum; c: acutum; d: acutum.</p>
      <p id="VILCAR0335">Desit:[a] ista scies ex E salit[b] ad [sqb] quadratum.</p>
      <p id="VILCAR0336">a: dyapente; b: dyapente.</p>
      <p id="VILCAR0337">Ex F ad C socias.[a] De G consurgit[b] ad et D. (f. 9v)</p>
      <p id="VILCAR0338">a: dyapente; b: dyapente.</p>
      <p id="VILCAR0339">Binos hoc[a] teneat compunctos,[b] ut sol et re la.</p>
      <p id="VILCAR0340">a: scilicet, dyapente, b: scilicet.</p>
      <p id="VILCAR0341">Simplo[a] semitono[b] constando,[c] tonisque[d] tribus</p>
      <p id="VILCAR0342">a: id est, uno; b: dyapente; c: constare videtur; d: exemplum.</p>
      <p id="VILCAR0343">[a][sqb] gravis[b] ad F[c] [d]Eque[e] gravi sursumque [f][rob][g] molle,</p>
      <p id="VILCAR0344">a: ex; b: pro gravis; c: grave; d: ex; e: pro et; f: ad, g: acutum nec formatur.</p>
      <p id="VILCAR0345">[sqb] quadrus[a] ad secundum F,[b] [rob] molle E superacutum,</p>
      <p id="VILCAR0346">a: ex [sqb] quadro acuto; b: acutum.</p>
      <p id="VILCAR0347">Non[a] dyapente tonum[b] dupplum dant semitonum.[c]</p>
      <p id="VILCAR0348">a: est; b: quia supradictae litterae; c: semitonum.</p>
      <p id="VILCAR0349">
      <pb n="[15]" />[Quod sit dypason]</p>
      <p id="VILCAR0350">Dyapason quid sit,[a] constat, formatur et unde.</p>
      <p id="VILCAR0351">a: et unde.</p>
      <p id="VILCAR0352">Gramata[a] si quaeris constans[b] ad gramma[c] figurae[d]</p>
      <p id="VILCAR0353">a: exemplum; b: est; c: a littera in litteram; d: ab A in A et a [rob] in [rob].</p>
      <p id="VILCAR0354">Dicimus[a] eiusdem, sed [sqb] gravi[b] [rob] quoque molle</p>
      <p id="VILCAR0355">a: quod; b: ad.</p>
      <p id="VILCAR0356">Non canit;[a] est ratio[b] spacio quia quatuor[c] illo</p>
      <p id="VILCAR0357">a: dyapason; b: talis; c: in.</p>
      <p id="VILCAR0358">Esse tonos fateor,[a] cum semitonisque tribus;</p>
      <p id="VILCAR0359">a: confiteor.</p>
      <p id="VILCAR0360">Quinque tonos retinens[a] et semitonos sibi binos,[b]</p>
      <p id="VILCAR0361">a: dyapason est; b: id est, duos.</p>
      <p id="VILCAR0362">[a]Quatuor aio[b] toni, cum semitoni[s]que tribus</p>
      <p id="VILCAR0363">a: quod si; b: id est, dico.</p>
      <p id="VILCAR0364">In spacio veniunt numquam[a] perfecta manebit.[b] (f. 10r)</p>
      <p id="VILCAR0365">a: dyapason; b: id est, erit.</p>
      <p id="VILCAR0366">De [rob] molle capitulo tertio.</p>
      <p id="VILCAR0367">His tribus ipse modis[a] reperitur [rob] quoque[b] molle:</p>
      <p id="VILCAR0368">a: qui sequuntur; b: pro et.</p>
      <p id="VILCAR0369">Causa prior tritoni, post[a] fertur causa necesse,[b]</p>
      <p id="VILCAR0370">a: id est, secundo; b: id est, necessitate.</p>
      <p id="VILCAR0371">Ternam[a] perdoctos[b] essentia, sed manifestat.</p>
      <p id="VILCAR0372">a: scilicet, causam; b: magistros.</p>
      <p id="VILCAR0373">De primo modo.</p>
      <p id="VILCAR0374">De F gravi primo[a] si cantus[b] ad [rob] sit[c] acutum,</p>
      <p id="VILCAR0375">a: tritonus est; b: incipit; c: ascendens.</p>
      <p id="VILCAR0376">
      <pb n="[16]" />Amplius haud[a] scandit,[b] sed corruat[c] unde[d] recessit.[e]</p>
      <p id="VILCAR0377">a: pro non; b: id est, ascendit; c: id est, descendit; d: illuc; e: scilicet, ad F gravem.</p>
      <p id="VILCAR0378">Hoc tamen est scriptum,[a] nec[b] sic mutatio fiat.</p>
      <p id="VILCAR0379">a: id est, terminatum a magistris; b: id est, ut non.</p>
      <p id="VILCAR0380">De secundo modo.</p>
      <p id="VILCAR0381">Causa necesse fuit cum cantus in C habet acuto</p>
      <p id="VILCAR0382">Et sol contineat,[a] [b]descendat per [rob][c] acutum</p>
      <p id="VILCAR0383">a: id est, teneat; b: et; c: hoc per molle.</p>
      <p id="VILCAR0384">[a]Ad F gravem.[b]</p>
      <p id="VILCAR0385">a: usque; b: inclusive.</p>
      <p id="VILCAR0386">De tertio modo.</p>
      <p id="VILCAR0387">Sequitur post istud[a] tertia causa.[b]</p>
      <p id="VILCAR0388">a: id est, causa necessitatis; b: essentiae.</p>
      <p id="VILCAR0389">Littera[a] nascatur[b] quintoque[c] sextoque tonoque,</p>
      <p id="VILCAR0390">a: id est, figura [rob] mollis per modum naturae; b: id est, nascitur; c: id est, inter.</p>
      <p id="VILCAR0391">Inter [sqb] quadrum Guido[a] dictat et in A acutum</p>
      <p id="VILCAR0392">a: magister.</p>
      <p id="VILCAR0393">Molle [rob] quid posuit diviso iam[a] monocordi,</p>
      <p id="VILCAR0394">a: id est, tempore praeterito.</p>
      <p id="VILCAR0395">In quarto[a] spacio numerando sic[b] reperitur (f. 10v)</p>
      <p id="VILCAR0396">a: scilicet, inclusive; b: [rob] molle.</p>
      <p id="VILCAR0397">Ex F gravi digiti parvi quia culmine summo[a]</p>
      <p id="VILCAR0398">a: scilicet, digiti.</p>
      <p id="VILCAR0399">[sqb] reperies quadrum sub quo [rob] molle quiescit,[a]</p>
      <p id="VILCAR0400">a: in medio ventriculo.</p>
      <p id="VILCAR0401">
      <pb n="[17]" />Quarti iunctura[a] digiti cantando secunda.</p>
      <p id="VILCAR0402">a: in iunctura [rob] molle quiescit.</p>
      <p id="VILCAR0403">Boecius doctor necnon Encarius[a] ipse</p>
      <p id="VILCAR0404">a: magister.</p>
      <p id="VILCAR0405">[rob] molle scripserunt[a] monocordo nomen eidem.[b]</p>
      <p id="VILCAR0406">a: in; b: scilicet, [rob] molle.</p>
      <p id="VILCAR0407">Dant[a] tritesinemeneque[b] notans adiunctis sive</p>
      <p id="VILCAR0408">a: scilicet, praedicti magistri; b: scilicet, tritesinemene.</p>
      <p id="VILCAR0409">Copula. Guido[a] tamen[b] confusio fit in [rob] molle</p>
      <p id="VILCAR0410">a: magister; b: quod.</p>
      <p id="VILCAR0411">Scripserat,[a] et iuncxit[b] quod transformatio surgat.[c]</p>
      <p id="VILCAR0412">a: id est, posuerat; b: Guido; c: ex [rob] molli.</p>
      <p id="VILCAR0413">Ut G sonet protum quid permanet ipse tetardum.</p>
      <p id="VILCAR0414">Quid fuit A protum resonet,[a] post deuter (ms: depter)[b] inde[c]</p>
      <p id="VILCAR0415">a: id est, cantet; b: id est, deuterum (ms.: depterum) resonet; c: id est, cantet antico signo.</p>
      <p id="VILCAR0416">[sqb] resonet tritum, quid deuterus (ms.: depterus) astitit et C,</p>
      <p id="VILCAR0417">Quid remanet tritum, surgat canendo tetardum.</p>
      <p id="VILCAR0418">Hoc tamen ex causa de [rob] molle siluerunt[a] (f. 11r)</p>
      <p id="VILCAR0419">a: id est, non posuerunt [rob] molle.</p>
      <p id="VILCAR0420">Artibus[a] indocti, quibus est responsio[b] nulla.</p>
      <p id="VILCAR0421">a: id est, nescientes discernere talia supradicta; b: fienda.</p>
      <p id="VILCAR0422">Est bene sumendum,[a] semperque scientibus[b] illud[c]</p>
      <p id="VILCAR0423">a: scilicet [rob] molle; b: doctoribus; c: scilicet, illud b molle.</p>
      <p id="VILCAR0424">Laudibus in numeris [rob] dignum dic fore molle.</p>
      <p id="VILCAR0425">Si quia[a] non generat dyatesseron est removendum.[b]</p>
      <p id="VILCAR0426">a: scilicet, [rob] molle; b: hic est quaedam figura quae dicitur antiphora.</p>
      <p id="VILCAR0427">Abstrahe[a] [sqb] quadrum quia non generat dyapente.</p>
      <p id="VILCAR0428">a: id est, remove.</p>
      <p id="VILCAR0429">
      <pb n="[18]" />Sumite[a] [sqb] quadrum, nec[b] [rob] post spernite molle.</p>
      <p id="VILCAR0430">a: ergo; b: id est, non.</p>
      <p id="VILCAR0431">Unica[a] iunctura[b] non duplex[c] [sqb] retinebit.</p>
      <p id="VILCAR0432">a: scilicet, per III digiti; b: et secunda quarti; c: scilicet, [rob] molle et [sqb] quadrum.</p>
      <p id="VILCAR0433">[a]F spacio quarto[b] trytonum [sqb] nam faciebat.</p>
      <p id="VILCAR0434">a: ex; b: scilicet, in sumitate digiti primi et in spacio medio post secundam iuncturam quarti digiti.</p>
      <p id="VILCAR0435">Talia si fierent,[a] numquam cordia starent.</p>
      <p id="VILCAR0436">a: id est, si fieret ascensus vel descensus tritono cantante.</p>
      <p id="VILCAR0437">Noscite [rob] molle quoniam [rob] dico rotundum.</p>
      <p id="VILCAR0438">Hoc[a] sibi stat proprium quia pleno non tonat[b] ore.</p>
      <p id="VILCAR0439">a: scilicet, molle vel rotundum; b: canta remisso et dulci.</p>
      <p id="VILCAR0440">Semitonus cantat [rob] dictum semper acutae.</p>
      <p id="VILCAR0441">Hoc[a] tamen accipias [b]mediocri[c] voce sonora. (f. 11v)</p>
      <p id="VILCAR0442">a: [rob] molle dicitur acutae; b: tam; c: id est, non multum acute, sed cum voce temperata.</p>
      <p id="VILCAR0443">Molle [rob] non fuerat,[a] sed [sqb][b] mi[c] tempore quoddam.</p>
      <p id="VILCAR0444">a: scilicet, in cantu; b: quadrum; c: tamen in.</p>
      <p id="VILCAR0445">Consona quod fiat melior[a] [rob] molle[b] repertum,</p>
      <p id="VILCAR0446">a: scilicet, in cantando; b: cantando; c: fuit.</p>
      <p id="VILCAR0447">Pro tritoni causa[a] sexti quintique[b] tonique</p>
      <p id="VILCAR0448">a: fuit repertum; b: et pro causa.</p>
      <p id="VILCAR0449">Hii[a] duo namque[b] cantant[c] per [rob] sibi molle.</p>
      <p id="VILCAR0450">a: scilicet, quintus et sextus; b: pro certe; c: semper.</p>
      <p id="VILCAR0451">Ipse tonus sextus specialiter appetit illud.[a]</p>
      <p id="VILCAR0452">a: scilicet, [rob] molle.</p>
      <p id="VILCAR0453">F gravis interdum dat[a] talibus initium,[b] sed</p>
      <p id="VILCAR0454">a: id est, quinto et sexto tono; b: in principium.</p>
      <p id="VILCAR0455">Finem dat semper[a] ex ut solfando patenter.[b]</p>
      <p id="VILCAR0456">a: de [rob] molle; b: id est, manifeste.</p>
      <p id="VILCAR0457">
      <pb n="[19]" />De tritono</p>
      <p id="VILCAR0458">Semper discipulis[a] tritonum vitare iubemus.</p>
      <p id="VILCAR0459">a: id est, scolaribus.</p>
      <p id="VILCAR0460">Tres quoque tonosque simul numquam concernimus[a] esse.</p>
      <p id="VILCAR0461">a: id est, determinamus.</p>
      <p id="VILCAR0462">Hoc tamen[a] accendas,[b] ne[c] [d]verbis decipiaris.[e]</p>
      <p id="VILCAR0463">a: quod diximus; b: o lector; c: pro non; d: in; e: scilicet, tu.</p>
      <p id="VILCAR0464">Quatuor ex iunctis[a] tritonis stat vocibus ipsae.</p>
      <p id="VILCAR0465">a: vocibus.</p>
      <p id="VILCAR0466">Et cum sic[a] constat per [rob] tu cantito molle.</p>
      <p id="VILCAR0467">a: scilicet, per quatuor voces.</p>
      <p id="VILCAR0468">Cantibus ecclesiae tritonum non dico[a] fiendum. (f. 12r)</p>
      <p id="VILCAR0469">a: esse.</p>
      <p id="VILCAR0470">Sumitur interdum[a] mensurae[b] noscito cantu.</p>
      <p id="VILCAR0471">a: id est, aliquando; b: id est, in biscantu.</p>
      <p id="VILCAR0472">[a]Uno sed puncto biscantus[b] regula donat.[c]</p>
      <p id="VILCAR0473">a: in; b: generati cantus; c: scilicet, tritonum.</p>
      <p id="VILCAR0474">Dicitur hoc totum[a] nunc pro dyapente minori.</p>
      <p id="VILCAR0475">a: quid dictum est de tritono.</p>
      <p id="VILCAR0476">Semitonis binis[a] constando[b] tonisque [c]duobus</p>
      <p id="VILCAR0477">a: ex duobus; b: id est, quod constat; c: ex.</p>
      <p id="VILCAR0478">Est dyapente minor, tritonum biscantor in illo</p>
      <p id="VILCAR0479">Suscipiat puncto, tunc[a] surgit[b] musica falsa.</p>
      <p id="VILCAR0480">a: sumitur; b: id est, cantat.</p>
      <p id="VILCAR0481">Quis[a] dyapente[b] bonam de [rob] molli dato finem.</p>
      <p id="VILCAR0482">a: est; b: et tunc illa musica falsa est.</p>
      <p id="VILCAR0483">
      <pb n="[20]" />De tonis capitulo quinto</p>
      <p id="VILCAR0484">Terminus est quadruplex, quo cantus terminat omnis</p>
      <p id="VILCAR0485">Musica quos[a] posuit D, E, F, G graves manifesta.</p>
      <p id="VILCAR0486">a: terminos quatuor.</p>
      <p id="VILCAR0487">D gravis est[a] primo,[b] sic terminus atque [c]secundo.</p>
      <p id="VILCAR0488">a: in; b: tono; c: in tono.</p>
      <p id="VILCAR0489">Tertius E[a] quartus, F[b] quintus sextus eodem,[c]</p>
      <p id="VILCAR0490">a: in gravi; b: gravi; c: scilicet, F.</p>
      <p id="VILCAR0491">Septimus octavus in G[a] se terminat illo;</p>
      <p id="VILCAR0492">a: scilicet, gravi.</p>
      <p id="VILCAR0493">[a]Quatuor ergo locis, se cantus terminat omnis. (f. 12v)</p>
      <p id="VILCAR0494">a: in.</p>
      <p id="VILCAR0495">Quatuor antiquos facisse tonos reperimus;</p>
      <p id="VILCAR0496">Primus cum terno, quinto cum septimus adsunt.[a]</p>
      <p id="VILCAR0497">a: toni.</p>
      <p id="VILCAR0498">Protum[a] cum deutero[b](ms.: deptero) fantes,[c] tritumque[d] tetardum.[e]</p>
      <p id="VILCAR0499">a: id est, primum; b: id est, tertio; c: id est, dicentes magistri; d: id est, [quintum] (ms.: septimum); e: id est, [septimum](ms.: octavum).</p>
      <p id="VILCAR0500">Quemlibet[a] in binos[b] post divisisse fatemur,[c]</p>
      <p id="VILCAR0501">a: tonum; b: id est, in duos tonos; c: dictos magistros.</p>
      <p id="VILCAR0502">Et sic octo tonos, numero reperimus ab illis.[a]</p>
      <p id="VILCAR0503">a: magistris.</p>
      <p id="VILCAR0504">[a]Dyapason [b]species sic dicimus octo tonorum,</p>
      <p id="VILCAR0505">a: sic diximus; b: de.</p>
      <p id="VILCAR0506">[a]Quilibet hiis[b] cantus cantatur dic manifeste.</p>
      <p id="VILCAR0507">a: quod; b: tonis VIII.</p>
      <p id="VILCAR0508">Quatuor[a] ex auctos,[b] hiis[c] quatuor ergo[d] placales,</p>
      <p id="VILCAR0509">a: esse; b: id est, autenticos; c: 8 tonis; d: dicimus esse.</p>
      <p id="VILCAR0510">
      <pb n="[21]" />Namque protos graece, [a]primum nos dicimus altum.[b]</p>
      <p id="VILCAR0511">a: latine; b: quia alte cantat respectum secundi.</p>
      <p id="VILCAR0512">Ipse minor[a] sequens[b] [c]pars eius[d] statque[e] placalis.</p>
      <p id="VILCAR0513">a: est; b: scilicet, secundus tonus; c: et est; d: scilicet, primi modi; e: quia placaliter stat respectum primi.</p>
      <p id="VILCAR0514">De ascensu tonorum</p>
      <p id="VILCAR0515">Primus ad excelsus [a]octavam scandere[b] cordam.</p>
      <p id="VILCAR0516">a: ad; b: id est, ascendere. In marg.: 1.</p>
      <p id="VILCAR0517">Dicimus et[a] nonam, fuerit si causa necesse.</p>
      <p id="VILCAR0518">a: ad.</p>
      <p id="VILCAR0519">Transvolat[a] ad decimam,[b] descendens[c] ad tamen unam.[d] (f. 13r)</p>
      <p id="VILCAR0520">a: id est, ascendit; b: cordam; c: est; d: cordam.</p>
      <p id="VILCAR0521">Estque sequens[a] humiliter ad quintam[b] causa necesse.</p>
      <p id="VILCAR0522">a: scilicet, secundus; b: ascendit corda. In marg.: 2.</p>
      <p id="VILCAR0523">Si fuerit[a] sextam,[b] sed quatuor[c] ipse[d] ruendo.[e]</p>
      <p id="VILCAR0524">a: id est, ascendit; b: ad sextam; c: voces; d: secundus; e: id est, descendendo.</p>
      <p id="VILCAR0525">Tertius[a] octo[b] novemque salit,[c] retro[d] postulat unam.[e]</p>
      <p id="VILCAR0526">a: tonus; b: voces; c: et ascendit; d: in descendendo; e: vocem. In marg.: 3.</p>
      <p id="VILCAR0527">Quartus[a] [b]ad quintam[c] sextam, post[d] [e]quatuor a se.[f]</p>
      <p id="VILCAR0528">a: tonus; b: ascendit; c: vocem et; d: scilicet, descendens; e: per voces; f: id est, a termino suo. In marg.: 4.</p>
      <p id="VILCAR0529">Octo[a] novem quintus,[b] se retro postulat[c] unam.[d]</p>
      <p id="VILCAR0530">a: voces; b: ascendit tonus; c: descendendo; d: vocem. In marg.: 5.</p>
      <p id="VILCAR0531">Ad quintam[a] [b]sextam, sed sextus[c] [d]quatuor infra.</p>
      <p id="VILCAR0532">a: vocem; b: et; c: tonus; d: ascendit. In marg.: 6.</p>
      <p id="VILCAR0533">
      <pb n="[22]" />Septimus[a] [b]octavam, [c]nonam [d]decimaque[e] volando.[f]</p>
      <p id="VILCAR0534">a: tonus; b: ad; c: et ad; d: ad; e: vocem; f: potest ascendere. In marg.: 7.</p>
      <p id="VILCAR0535">Sed citra[a] proprium sic finem postulat unam.[b]</p>
      <p id="VILCAR0536">a: id est, subter; b: vocem.</p>
      <p id="VILCAR0537">Scandit[a] ad octavus,[b] quintam[c] sextamque[d] petendo.</p>
      <p id="VILCAR0538">a: id est, ascendit; b: tonus; c: vocem ad; d: pro et. In marg.: 8.</p>
      <p id="VILCAR0539">Septima[a] si fuerit[b] trahit[c] hunc, sed causa necesse,[d]</p>
      <p id="VILCAR0540">a: vox; b: id est, si reperitur; c: quod ascendat ad septimam vocem; d: id est, necessitatis. In marg.: trahit, id est, recipit hunc, scilicet, octavum tonum.</p>
      <p id="VILCAR0541">Quatuor et citra[a] se voces appetit[b] arte.</p>
      <p id="VILCAR0542">a: infra se; b: octavus tonus per.</p>
      <p id="VILCAR0543">Omnia[a] decernas,[b] semper radice remota.</p>
      <p id="VILCAR0544">a: supradicta; b: id est, iudices esse ascensum et descensum.</p>
      <p id="VILCAR0545">Infima[a] descendunt [b]quantum suprema[c] levantur,[d] (f. 13v)</p>
      <p id="VILCAR0546">a: id est, toni placales; b: tantum; c: id est, autentica; d: ascendunt.</p>
      <p id="VILCAR0547">Descendendo minus, si plus scandendo[a] videntur.</p>
      <p id="VILCAR0548">a: ascendendo videntur.</p>
      <p id="VILCAR0549">Contra naturam dicas[a] causamque sonoram.</p>
      <p id="VILCAR0550">a: hoc esse vel dic quod fit causa sonoritatis.</p>
      <p id="VILCAR0551">Est tonus hic sumptus velud omnis regula cantus.</p>
      <p id="VILCAR0552">Principium medium finem[a] diiudicat atque</p>
      <p id="VILCAR0553">a: cantus.</p>
      <p id="VILCAR0554">Ascensum videat descensu[a] non aliter, tunc</p>
      <p id="VILCAR0555">a: cantus.</p>
      <p id="VILCAR0556">Posset quisque[a] (corr. from quisquam) tonum cognoscere sive docere.</p>
      <p id="VILCAR0557">a: id est, quilibet.</p>
      <p id="VILCAR0558">
      <pb n="[23]" />Flatibus atque phonis (ms.: fonis) consistit musici voce.</p>
      <p id="VILCAR0559">Quatuor ergo tonos vox[a] appellate magistros,[b]</p>
      <p id="VILCAR0560">a: scolares; b: autenticos.</p>
      <p id="VILCAR0561">Discipulos reliquos superant se scismate tali,[a]</p>
      <p id="VILCAR0562">a: prout sequitur.</p>
      <p id="VILCAR0563">Voce sequens,[a] praecedentem[b] superabit in unam,</p>
      <p id="VILCAR0564">a: quilibet discipulus; b: scilicet, discipulum.</p>
      <p id="VILCAR0565">Sic[a] prior[b] ipse ruens[c] semper superando[d] sequentam.[e]</p>
      <p id="VILCAR0566">a: scilicet, in una voce; b: scilicet, magister; c: id est, descendens; d: id est, superabit; e: magistrum.</p>
      <p id="VILCAR0567">Incohat[a] en primus,[b] sic de C gravi [c]reliquisque[d]</p>
      <p id="VILCAR0568">a: id est, incipere potest; b: tonus; c: de; d: gravibus, scilicet, de E, F, G.</p>
      <p id="VILCAR0569">Terminus hic fiat,[a] A quod tibi scribis acutum. (f. 14r)</p>
      <p id="VILCAR0570">a: id est, a.</p>
      <p id="VILCAR0571">Gammaque cum reliquis[a] gravis[b] F[c] dat iura[d] secundo;[e]</p>
      <p id="VILCAR0572">a: gravibus; b: usque ad; c: inclusive; d: id est, principia; e: tono.</p>
      <p id="VILCAR0573">E gravis et socii[a] terno[b] dant[c] [d]A, E acutum.</p>
      <p id="VILCAR0574">a: graves; b: tono; c: principium; d: et; e: et.</p>
      <p id="VILCAR0575">C gravis[a] est quarto[b] cunctas grave Fque tenendo,</p>
      <p id="VILCAR0576">a: principium; b: tono.</p>
      <p id="VILCAR0577">F,[a] G graves quinto[b] ius[c] donant [d]A, [e]C acutum.</p>
      <p id="VILCAR0578">a: et; b: tono; c: id est, principium; d: et; e: et.</p>
      <p id="VILCAR0579">Ex C, D, F gravibus,[a] A sextus surgit[c] acuto.</p>
      <p id="VILCAR0580">a: et ex; b: tonus; c: incipit.</p>
      <p id="VILCAR0581">Septimus[a] ex G gravi post[b] A, [sqb], C, D sit[c] acutus.</p>
      <p id="VILCAR0582">a: tonus; b: ex; c: incipiens.</p>
      <p id="VILCAR0583">Primus[a] retinens[b] ex unamque[c] sequens[d] sibi ternus.[e]</p>
      <p id="VILCAR0584">a: quod tonus est; b: de differentiis; c: percitam; d: id est, servus; e: id est, tertius tonus.</p>
      <p id="VILCAR0585">
      <pb n="[24]" />Tres simul et quartus[a] quintus[b] sed continet unam.</p>
      <p id="VILCAR0586">a: tonus; b: tonus.</p>
      <p id="VILCAR0587">Sextus[a] ei[b] similis,[c] bis bina[d] septimus[e] ipse.</p>
      <p id="VILCAR0588">a: tonus; b: coniuncte; c: est; d: id est, quatuor; e: septimus.</p>
      <p id="VILCAR0589">Tres tonus octavus percita[a] ipse memento.</p>
      <p id="VILCAR0590">a: tu.</p>
      <p id="VILCAR0591">Horum[a] distinctas poteris sic[b] nosce[c] figuras.</p>
      <p id="VILCAR0592">a: tonorum; b: ut dictum; c: pro noscere.</p>
      <p id="VILCAR0593">Quintam[a] primus[b] habet, ternamque[c] tenendo secundus.[d]</p>
      <p id="VILCAR0594">a: bocem; b: tonus; c: id est, tertiam vocem; d: tonus.</p>
      <p id="VILCAR0595">Tertius[a] ad[b] sextam[c] sed quartam[d] quartus et ipse[e] tenet. (f. 14v)</p>
      <p id="VILCAR0596">a: tonus; b: vadat; c: vocem; d: vocem; e: tonus.</p>
      <p id="VILCAR0597">Quintus[a] habet quintam,[b] sed detur tertia[c] sexto.[d]</p>
      <p id="VILCAR0598">a: tonus; b: vocem; c: vox; d: tono.</p>
      <p id="VILCAR0599">Septimus[a] [b]ad quintam[c] petit, octavus[d] quoquam quartam.[e]</p>
      <p id="VILCAR0600">a: tonus; b: vadit; c: vocem; d: tonus; e: scilicet, vocem.</p>
      <p id="VILCAR0601">Omnes hos[a] discas finem numerando per actum.[b]</p>
      <p id="VILCAR0602">a: tonos; b: profectum.</p>
      <p id="VILCAR0603">Primus[a] cum sexto,[b] fa sol la principiatur.</p>
      <p id="VILCAR0604">a: tonus; b: tono.</p>
      <p id="VILCAR0605">Tertius[a] (et removed)[b] octavus, ut re fa sicque[c] secundus.[d]</p>
      <p id="VILCAR0606">a: tonus; b: et; c: scilicet, principiatur; d: tonus.</p>
      <p id="VILCAR0607">La sol la quartus,[a] ut mi sol sit tibi[b] quintus.</p>
      <p id="VILCAR0608">a: tonus principiatur; b: principiatur.</p>
      <p id="VILCAR0609">Septimus[a] [b]ut fa mi fa sol sit tibi memor.</p>
      <p id="VILCAR0610">a: tonus; b: principiatur.</p>
      <p id="VILCAR0611">Quatuor[a] inde toni, quos dicamus esse magistros,</p>
      <p id="VILCAR0612">a: primus, tertius, quintus, septimus.</p>
      <p id="VILCAR0613">
      <pb n="[25]" />Proprium finem dyapason scandere[a] supra,</p>
      <p id="VILCAR0614">a: ascendere.</p>
      <p id="VILCAR0615">Semitonumque tonum per sub[a] sed fine ruendo[b]</p>
      <p id="VILCAR0616">a: dicuntur quatuor magistri; b: id est, descendendo.</p>
      <p id="VILCAR0617">Dogmatae[a] dicuntur, alias[b] hos[c] (corr. from hoc) regula[d] spernit</p>
      <p id="VILCAR0618">a: id est, regula cantus; b: hoc est altera; c: tonos; d: musicae.</p>
      <p id="VILCAR0619">Ultra dyapason sed permittente[a] magistro.[b]</p>
      <p id="VILCAR0620">a: id est, concedente; b: cantus musicae.</p>
      <p id="VILCAR0621">Scandere[a] dico[b] tonum[c] sic semitonumque valerent.[d] (f. 15r)</p>
      <p id="VILCAR0622">a: id est, ascendere; b: per; c: per; d: id est, possent.</p>
      <p id="VILCAR0623">Quatuor ast[a] alii,[b] quos discipulos[c] reputamus</p>
      <p id="VILCAR0624">a: scilicet, sed; b: toni; c: esse.</p>
      <p id="VILCAR0625">A proprio fine, sed scandunt per dyapente.</p>
      <p id="VILCAR0626">Citra[a] descendant, sed per dyatesseron, et sic</p>
      <p id="VILCAR0627">a: id est, retro.</p>
      <p id="VILCAR0628">Regula[a] confirmat, aliter[b] contraria[c] cantant.[d]</p>
      <p id="VILCAR0629">a: musicalis; b: alio modo; c: artus; d: ipsi toni.</p>
      <p id="VILCAR0630">Fertur discipulus si cantus scandere[a] quintam.[b]</p>
      <p id="VILCAR0631">a: id est, ascendere ad; b: vocem.</p>
      <p id="VILCAR0632">Abdicit[a] a fine.[b] Sed si[c] non summa[d] magistri</p>
      <p id="VILCAR0633">a: id est, spernit; b: a proprio; c: cantus; d: in altitudinem.</p>
      <p id="VILCAR0634">Infima[a] discipuli teneat, describo[b] magistrum.</p>
      <p id="VILCAR0635">a: id est, inferiora; b: illum talem cantum; c: esse.</p>
      <p id="VILCAR0636">Infima [a] discipuli retinens, et summa[b] magistri,</p>
      <p id="VILCAR0637">a: inferiora; b: altitudinem.</p>
      <p id="VILCAR0638">Ipse[a] magister erit, nam[b] pars[c] doctorat[d] uterque.</p>
      <p id="VILCAR0639">a: cantus; b: pro quia; c: scilicet, ascensus et descensus; d: laudat ipsum magistrum.</p>
      <p id="VILCAR0640">Laus sit tibi Christe; Quia explicit liber musicae.</p>
    </body>
  </text>
</TEI>