Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
120 - 129
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
210 - 219
220 - 229
230 - 239
240 - 249
250 - 259
260 - 269
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
340 - 349
350 - 359
360 - 369
370 - 379
380 - 389
390 - 399
400 - 409
410 - 419
420 - 429
430 - 439
440 - 445
>
241
(229)
242
(230)
243
(231)
244
(232)
245
(233)
246
(234)
247
(235)
248
(236)
249
(237)
250
(238)
<
0 - 9
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
100 - 109
110 - 119
120 - 129
130 - 139
140 - 149
150 - 159
160 - 169
170 - 179
180 - 189
190 - 199
200 - 209
210 - 219
220 - 229
230 - 239
240 - 249
250 - 259
260 - 269
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
340 - 349
350 - 359
360 - 369
370 - 379
380 - 389
390 - 399
400 - 409
410 - 419
420 - 429
430 - 439
440 - 445
>
page
|<
<
(278)
of 445
>
>|
<
echo
version
="
1.0
">
<
text
type
="
book
"
xml:lang
="
la
">
<
div
xml:id
="
echoid-div7
"
type
="
body
"
level
="
1
"
n
="
1
">
<
div
xml:id
="
echoid-div477
"
type
="
chapter
"
level
="
2
"
n
="
6
">
<
div
xml:id
="
echoid-div542
"
type
="
section
"
level
="
3
"
n
="
12
">
<
div
xml:id
="
echoid-div542
"
type
="
letter
"
level
="
4
"
n
="
1
">
<
p
>
<
s
xml:id
="
echoid-s3459
"
xml:space
="
preserve
">
<
pb
o
="
278
"
rhead
="
IO. BAPT. BENED.
"
n
="
290
"
file
="
0290
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0290
"/>
hæc omnia interualla ſeruari, ideo ad te mitto ſeptem hic ſubſcripta exempla, in
<
lb
/>
quorum primo, & ſecundo, inter dieſim, et
<
var
>.b.</
var
>
in ſuperiori, agnoſces interuallum mi
<
lb
/>
nimi ſemitonij, & ſi ibi ſit dieſis, tanquam terminus ad quem, et
<
var
>.b.</
var
>
tanquam termi-
<
lb
/>
nus à quo: </
s
>
<
s
xml:id
="
echoid-s3460
"
xml:space
="
preserve
">quod autem inter dieſim et
<
var
>.b.</
var
>
ſit ſemitonium minimum, facilè agnoſces
<
lb
/>
ſi ſubtraxeris
<
reg
norm
="
decimam
"
type
="
context
">decimã</
reg
>
<
reg
norm
="
minorem
"
type
="
context
">minorẽ</
reg
>
à maiori,
<
reg
norm
="
quam
"
type
="
context
">quã</
reg
>
facit ſuperius
<
reg
norm
="
cum
"
type
="
context
">cũ</
reg
>
inferiori, ideſt
<
reg
norm
="
cum
"
type
="
context
">cũ</
reg
>
baſſu.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3461
"
xml:space
="
preserve
">Qua quidem modulatione tu etiam vſus es in cantilena illa, quæ Galica lingua
<
lb
/>
incipit. </
s
>
<
s
xml:id
="
echoid-s3462
"
xml:space
="
preserve
">Hellas comment. </
s
>
<
s
xml:id
="
echoid-s3463
"
xml:space
="
preserve
">Eadem, ego quoque in meis cantilenis latino ſermo-
<
lb
/>
ne compoſitis, quæ Moreta vocantur aliquando vſus ſum.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3464
"
xml:space
="
preserve
">Sed in tertio exemplo inuenies ſemitonium maius, neceſſariò genitum in ſupe-
<
lb
/>
riori, ſi ſextam maiorem cum baſſu eſſicere volueris, quia tenor, à ditono cum
<
lb
/>
ſuperiori ad diapentem, & ad vniſonum cum baſſu procedit, vbi quieſcit, progre-
<
lb
/>
diendo poſtea baſſus ad ſemiditonum cum tenore, </
s
>
<
s
xml:id
="
echoid-s3465
"
xml:space
="
preserve
">tunc ſi à proportione huius ſep-
<
lb
/>
timæ, quæ eſt vt .9. ad .5. hoc eſt ſuperquadripartiensquintas demptum fuerit hexa-
<
lb
/>
chordum maius, ſeu ſexta maior, quæ eſt vt .5. ad .3. remanebit proportio .27. ad .25.
<
lb
/>
quæ maior eſt quam .32. ad .30.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3466
"
xml:space
="
preserve
">In quarto
<
reg
norm
="
exemplo
"
type
="
context
">exẽplo</
reg
>
habebis ſemitonium minus in ſuperiori, quod quidem remanet
<
lb
/>
ex ſubtractione ditoni
<
reg
norm
="
conſonantis
"
type
="
context context
">cõſonãtis</
reg
>
ab diateſſaron
<
reg
norm
="
compręhenſa
"
type
="
context
">cõpręhenſa</
reg
>
à ſuperiori cum tenore.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3467
"
xml:space
="
preserve
">In quinto exemplo videbis tonum minorem, & tonum maiorem ſucceſſiuè vnum
<
lb
/>
poſt alium in tenore, detrahendo primo
<
reg
norm
="
ſemiditonum
"
type
="
context
">ſemiditonũ</
reg
>
à diateſſaron, quod ſuperius fa-
<
lb
/>
cit cum tenore, vel detrahendo diapente ab hexachordo maiori, quod facit tenor
<
lb
/>
cum baſſu, vnde remanet tonus minor ſeſquinonus, detrahendo poſtea diateſſaron
<
lb
/>
à diapente, quod ſuperius facit cum tenore, remanebit tonus maior ſeſquioctauus.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3468
"
xml:space
="
preserve
">In ſexto exemplo deinde videbis tenorem aſcendere per duos tonos minores ſuc
<
lb
/>
ceſſiuè vnum poſt alium in tenore, ſi
<
reg
norm
="
demp
"
type
="
context
">dẽp</
reg
>
ſeris
<
reg
norm
="
ſemiditonum
"
type
="
context
">ſemiditonũ</
reg
>
à diateſſaron
<
reg
norm
="
cum
"
type
="
context
">cũ</
reg
>
ſuperiori.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3469
"
xml:space
="
preserve
">In .7.
<
reg
norm
="
exemplo
"
type
="
context
">exẽplo</
reg
>
demum videbis
<
reg
norm
="
ſuperiorem
"
type
="
context
">ſuperiorẽ</
reg
>
aſcendere per duos tonos maiores ſucceſ-
<
lb
/>
ſiuè
<
reg
norm
="
vnum
"
type
="
context
">vnũ</
reg
>
poſt
<
reg
norm
="
alium
"
type
="
context
">aliũ</
reg
>
, ſi dempſeris diateſſaron à diapente, quod facittenor
<
reg
norm
="
cum
"
type
="
context
">cũ</
reg
>
ſuperiori.</
s
>
</
p
>
<
figure
position
="
here
"
number
="
316
">
<
image
file
="
0290-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0290-01
"/>
</
figure
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>