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London, British Library, Harley MS 3595
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London, British Library, Harley, 3595

Boethius, De arithmetica, De musica, RAL and Agrimensores

Parchment — ii (paper) + 73 fols. + ii (paper) — West Germany / Cologne (?) — s. X-XI

Revised Aratus Latinus

Digital facsimile at British Library

Parchment Foliated in pencil in the top right corner of each recto page.

Modern binding (1966). The front and back of the pre-modern 'Harleian' red-leather binding are glued on the innerside of the modern binding.

Herkunft: Mayr-Harting (p. 248), who studied the glosses to Boethius' De arithmetica, considered that Harley 3595 was a Cologne manuscript, by provenance and possibly by origin. On the lower margin of f.1r ownership inscription E. Benzelius referring to Erik Benzelius (1675-1743), the archbishop of Sweden. For the later provenance see Cyril Ernest Wright,Fontes Harleiani: A Study of the Sources of the Harleian Collection of Manuscripts in the British Museum (London: British Museum, 1972), pp. 70-71, 169, 367.

Selected bibliography: Mayr-Harting, Henry.Church and Cosmos in Early Ottonian Germany: The View from Cologne. Oxford: OUP, 2007 (pp. 240, 242, 248). — Folkerts (1970), pp. 4-5 and 113-171. — Bower, C. M. "Boethius' De Institutione Musica: A Handlist of Manuscripts." Scriptorium 42 (1988): 205-51 (p. 221)[with additional bibliography].. — Gibson, M. T. and Lesley Smit (eds.)Codices Boethiani: A Conspectus of Manuscripts of the Works of Boethius. Vol. I: Great Britain and the Republic of Ireland. London: Warburg Institute, 1995. (No. 129 pp. 148-49). — Wright, Cyril Ernest. Fontes Harleiani: A Study of the Sources of the Harleian Collection of Manuscripts in the British Museum. London: British Museum, 1972 (pp. 70-71, 169, 367).

Part I (ff. 1r-56v):

Parchment — 56 fols. — 285 × 200 — s.X

Parchment Written in one column throughout; about 30 long lines. Written space: Schriftraum: 220 × 150.. There are two principal hands. One writing ff.1r-48v and a second one responsible for ff. 50r-56v. Caroline minuscule. Complete word-division. Ligature: st, & as well as e-caudata. Specific letters: a with an upright stroke and a small lower-positioned lobe. For incipit and explicit used Capitalis rustica

1r-48v Boethius: De arithmetica. Incipiunt duo libri artis arithmeticae anitii manlii· severini· boethii· uiri clari · et inlustri · ex consuli s ordine · patricii· Domino suo patritio Symmacho boethius·. In dandis accipiendisque muneribus ita recte offitia … — … (48r) huius descriptio[nis] subter exemplar subiecimus. f.48v a diagram with four rectangulars geometrica, arithmetica, armonica, consonantiae. Many interlienar and marginal glosses, tables and figures.

50r-56v Boethius: De institutione musica imperfect. Book I, ch. 13-16 and sections from Book II and III. (50r-v) Book I, ch. 13-16* (end imperfect). Quod infinitatem vocum humana natura finiverit Sed quae continua uox est· et ea rursus qua decurrimus cantilenam … — … diatesseron ac diapente unum perficiunt diapason hoc modo (part of a diagram.) (51r-52v) Book II, ch. 20* (beginning imperfect) - 23* (end imperfect ). quadruplus parsque contratia quarta atque ita crescendi … — … tres igitur toni unum diatessaron nulla ratione (53r-v) Book II, ch. 31* (beginning imperfect). Ab hoc igitur ultimo numero sex toni inses qui octaua proportione … — … nunc columinis seriem fastidii uitator adstringam. Explicitvs de musica· id est armonica institutione Liber II. (53v-54v) Book III, ch. 1* (end imperfect). Incipit liber· III· I· Adversum aristoxenem demonstratio super particulare proportionem· dividi in aequa non posse atque ideo nec tonvm. SVPERIORE uolumine demonstratum est diatessaron consonantiam … — … dimidium cum ipsa sesqui XVIma (55r-56v) Book II, 26*-29* (imperfect beginning and end). pente ac diapason consonantiis diatessaron symponia iungatur … — … Liquet igitur eam proportionem quae in CCLVI

Part II (f. 49):

Parchment — 1 fol. — 285 × 200 — s. X

Parchment Written in one column throughout; around 30 lines per page. Written space: Schriftraum: 220 × 150 Less skilled hand struggling to keep the letters even on the line. Caroline minuscule, probably from the s. X.

49r-v Revised Aratus Latinus (fragment with sections: Perseus, Pleiades, and Lyra). inter astra collocatus eo quod iupiter in similitudinem aurei imbris … — … sedens in monte puggeo expectans solis ortum missis a libero patre Illustration of Perseus (49r) and the Pleiades as medaillons (49v).

Part III (ff. 57r-73v):

Parchment — 17 fols. — 275 × 185 — s.XI2/4-3/4

Parchment Written in one column throughout; around 30 lines per page. Written space: Schriftraum: 225 × 135 57r-73v: Praegothica (early example). Slanting to the right; Laterally compressed letter bodies; the stroke of a is upright; the lower lobe of g is foro the most part closed, but not connected to the upper one; the feet of the last minims of m and n break to the right; long s and r go often below base line; the tongue of e point to two o'clock; round d used side-by-side with straight d; ligatures still used st, ct, &; e-caudata. On f. 73vprobatio pennae with golden colour auri pigmenti probatio and aureus iste color.

57r-68r Ps-Boethius: Geometry II. Incipit liber primus Geometriae Euclidis a boetio in latinum translata. Quia uero mi patrici geometrum exercitatissime euclidis de artis geometricae … — … In puncto autem duo minuta et dimidium et in minuto IIII momenta esse asseruerunt. Epilogus finitur. Si quis uero de controuersiis et de qualitatibus et nominibus agrorum de que limitibus et de statibus controuersiarum scire desideret· Iulium frontinum necnon vrbicum agenumlectitet (?). Nos uero haec ad praesens dicta dixisse sufficiat. Geometrical figures within the body of the text and in the outer margin. Folkerts (1970), pp. 113-171.

68r-72r Treatise on gromatics and geometry. partly based onLiber podismi and Geometria incerti auctoris (sections: IV 1, 17, 10, 3-7 (imperfect), 2, 7 (imperfect) 8, 10-13, 28, 9, 14-16, 29-42, 18, 43-44, 27, 22-24, 26, 45-47; III 9; IV 48-50). Mensurarum genera sunt tria· rectum, planum, solidum … — … nisi mira in eis fuerit diuersitas. Bubnov 1899, pp. 510 and 317-365.

72r-73v Series of short texts on measures, their signs and conversion: (72r) Z oboli dimidia, Z oboli II, T III, F III, E V, A libra pondus XII uncias x obolus … — … et in super longitudinis partem sextam decimam haec consonantia semitonium erit· Multiplicatio singularis per singularem directę et conuersim. (72r) Excerpt fromIsidore 's Etymologies, Book 16,27,1-6: Ponderis signa plerisque ignota sunt, et inde errorem legentibus faciunt … — … alfa grecae in dextro brachio superiori o littera coniuncta kenix est. (72r) Obolus scripulus dimidius siliquae III. Coclearum scripulus I et dimidium, id est siliqua IIII. Same text inAbbo, Commentary, pp. 61-62. (72r-73r) Uncia multiplicata per CCLXXXVIII quia tot scripuli sunt … — … Hos cum XII augeas quomodo XII sunt as ducitur id est CCLXXXVIII. Hoc as in assem sit as. (73r) Digitus minima pars agrestium mensurarum … — … In leuga I sunt MD passus, VII D pedes XC XL unciae. Quot unciae tot dies fuerunt qui faciunt annos CCLXVI et dies CCX. (partly based on Isidore'sEtymologiae, Book 15). Bubnov 1899, p. 22. (73r) Argumentum ad inveniendos dies anni: Duodecim sunt signa zodiaci circuli in quibus singulis moratur sol XXX diebus, et X horis et semisse unius horae. Quo circa ad inueniendos dies anni duc duodecies XXX dies, quibus moratur sol in unoquoque signo, et habebis CCCLX et hae sunt partes zodiaci circuli. Deinde accipe X horas, quae supersunt, diebus et semissem et habebis CXXVI horas. Has horas partire per XXIIII, quia tot sunt horae diei et habebis V dies integros et insuper VI horas. Qui V dies et VI horae superioribus iunctae faciunt CCCLXV et S. Quos si per VII diuiseris quia tot ebdomadae sunt inuenies illum quinquagies et bis restante uno die cum S. Qui unus in capite solarium concurrentium inscribitur primus cum bissexto. Secundo anno remanet unus cum S tertio anno II cum S quarto III cum S quinto III cum S. Qui quadrantes simul positi reddunt integrum diem. Et haec est transilitio quinarii in VI. (73-v) Septem grana ordei conuersim transuersa faciunt unum digitum geometricalem id est pollicem … — … Digitos VII milies IM et DC LXXX VII IM et D. (73r) Si fistulae aequalis grossitudinis fuerint et maior minorem in sua longitudine bis habuerit … — … haec consonantia semitonium erit. Multiplicatio singularis per singulare directae et conuersim. (73v) Short text on measures: Quinque grana ordei pollicem componuit· Quindecim pollices pedem Quinque pedes passum … — … clxxviiii soliditas circuli.