TEXTS ON MUSIC IN ENGLISH
School of Music
University of Nebraska--Lincoln
Lincoln, NE 68588-0100
(phone: [402] 472-2507; Internet: plefferts1@unl.edu)
Data entry: Peter M. Lefferts
Checked by: Peter Slemon
Approved by: Peter M. Lefferts
Fn and Ft: DEPRPB1_MLBLL763
Author: Anonymous
Title: On the denominations of proportions
Source: London, British Library, Lansdowne 763, ff. 118v-120r.
Graphics: DEPRPB1 01GF-DEPRPB1 02GF
[-f.118v-] Here foluyth a. breue tretise of proporcions and of theire denominacions with a litil table folwing.
The proporcions betwene .1 and .1. 2 and 2. 3 and 3. and so in more numbir is callid euyn proporcion. For euery parcell be himselfe. is euyn in noumbir. and the same.
Betwene .8 and .4. is callid dowble proporcion. For the noumbir conteynyth twies the lasse.
Betwene .5 and 4. is Sesquequarta. For the more numbir conteynythe the lesse. and the fourthe parte of him ouer.
[-f.119r-] Betwene 5. and 3. is Superbiparciens tercias. For the more numbir conteynthe the lesse. and .2o. parties ouer. of the whech eche be himselfe is the .3de. part of the lesse.
Betwene .14. and .4. is. Dupla sesquealtera. For the more numbir conteynyth the lesse. and the halfe ouer.
Betwene .8. and .3. is Dupla superbiparciens tercias. For the more numbir conteynythe twies the lesse. and his 2o. parties ouer. of the whech pars Aliquota. is not made be the lesse noumbir. but eche be himselfe is the .3de. parte of the lesse numbir.
Betwene .3. and 2. is Sesquealtera. For the more numbir. conteynyth the lesse and the halfe of him ouer.
Betwene 4 and .3. is Sesquetercia. For the more numbir conteynyth the lasse. [thries. supra lin.] and one parte ouer. the whech is the .3de. parte of the lesse numbir
Betwene 6 and 2. is Tripla. For the more numbir conteynyth thries the lesse numbir.
Betwene .6. and 3. is Dupla. for the more numbir conteynyth twies the lesse
Betwene 3. and .1. is Tripla For the more vt supra.
Betwene .5. and 2. is Dupla sesquealtera. For the more numbir conteynyth twies the lesse. and the halfe parti of him ouer.
Betwene .6. and .5. is. Sesquequinta. For the more numbir conteynyth thries the lasse. and his .5te. parte ouer.
Betwene .7. and 2. is Tripla sesquealtera. For the more numbir conteynythe thries the lesse and halfe him ouer.
Betwene .7. and 3. is Sesquetercia vt supra.
Betwene .8. and 5 is. Supertriparciens .quintas. For the more numbir conteynyth the lasse. and .3. parties ouer. of the whech pars Aliquota. is not made there. the be holding the lasse numbur
Betwene .9. and .2. is Quadrupla. sesquealtera. For the more numbir conteynth the lesse And his halfe ouer.
[-f.119v-] [London, Lansdowne 763, f. 119v; text: 2.1, 4.2, 6.3, 8.4, 10.5, 12.6, Dvpla. 3.1, 6.2, 9.3, 12.4, 15.5, 18.6, Tripla, 4.1, 8.2, 12.3, 16.4, 20.5, 24.6, Qvadrupla. 5.1, 10.2, 15.3, 20.4, 25.5, 30.6, Qvindupla. 3.2, 6.4, 9.6, 12.8, 15.10, 20.12, Sesquealtera. 4.3, 8.6, 12.9, 16.12, 20.15, 24.18, Sesquetercia. 5.4, 10.8, 15.12, 20.16, 25.20, 30.24, Sesquequarta. 6.5, 12.10, 18.15, 24.20, 30.25, 36.30, Sesquequinta. 7.6, 14.12, 21.18, 28.24, 35.30, 42.36, Sesquesexta. 5.3, 10.6, 15.9, 20.12, 25.15, 30.18, Superbiparciens tercias. 7.4, 14.8, 21.12, 28.16, 35.20, 42.24, Supertriparciens quartas. 9.5, 18.10, 27.15, 36.20, 45.25, 54.30, Superquatriparciens quintas. 11.6, 22.12, 33.18, 44.24, 55.30, 66.36, Superquinqueparciens sextas. 13.7, 26.14, 39.21, 52.28, 65.35, 78.42, Supersesparciens septimas.] [DEPRPB1 01GF]
[-f.120r-] [London, Lansdowne 763, f. 120r; text: .3. 3.2, sesquealtera. 4.2 dupla. 5.2, dupla sesquealtera. 6.2, tripla, 7.2, tripla sesquealtera. 8.2, quadrupla. 9.2, quadrupla sesquealtera. 10.2, quindupla 11.2, quindupla sesquealtera. 12.2, sexdupla. 4. 4.3, sesquetercia. 5.3, superbiparciens tercias. 6.3, dupla, 7.3, dupla sesquetercia. 8.3,dupla superbiparciens tercias. 9.3, tripla, 10.3, tripla sesquetercia. 11.3, tripla superbiparciens .tercias. 12.3, quadrupla, 5. 5.4, sesquequarta. 6.4, sesquealtera, 7.4, supertriparciens quartas. 8.4, dupla, 9.4, dupla sesquequarta. 10.4, dupla sesquealtera. 11.4, dupla supertriparciens quartas, 12.4, tripla, 6 6.5, sesquequinta, 7.5, superbiparciens quintas, 8.5, supertriparciens quintas, 9.5, superquatriparciens quintas, 10.5, dupla, 11.5, dupla sesquequinta. 12.5, superbiparciens .quintas. .7. 7.6, sesquesexta. 8.6, sesquetercia. 9.6, sesquealtera. 10.6, superquadriparciens sextas [superbiparciens tercia corr. marg. m. sec.], 11.6, superquintiparciens sextas. 12.6, dupla, .8. 8.7, sesqueseptima, 9.7, superbiparciens .septimas. 10.7, supertriparciens .septimas. 11.7, superquatriparciens .septimas. 12.7, superquintiparcies .septimas, .9. 9.8, [sesqueoctaua m. sec.], 10.8, [sesquequarta m. sec.], 11.8, [supertriparciens octauas m. sec.], 12.8, [sesquealtera m. sec.], .10. 10.8, 11.8, 12.8] [DEPRPB1 02GF]
Expliciunt denominaciones proporcionum.