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Concerning the Ten Commandments, which are the Heads of the Law (22)

urn:cts:greekLit:tlg0018.tlg023.1st1K-eng1:22
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The decade also contains the visible peculiar properties of the triangles, and squares, and other polygonal figures; also the peculiar properties of symphonic ratios, that of the diatessaron in proportion exceeding by one fourth, as is the ratio of four to three; that of fifths exceeding in the ratio of half as much again, as is the case with the proportion of three to two. Also, that of the diapason, where the proportion is precisely twofold, as is the ratio of two to one, or that of the double diapason, where the proportion is fourfold, as in the ratio of eight to two.

Tokens

The 1 w 3
decade 1 w 9
also 1 w 13
contains 1 w 21
the 1 w 24
visible 1 w 31
peculiar 1 w 39
properties 1 w 49
of 1 w 51
the 2 w 54
triangles 1 w 63
and 1 w 67
squares 1 w 74
and 2 w 78
other 1 w 83
polygonal 1 w 92
figures 1 w 99
also 2 w 104
the 4 w 107
peculiar 2 w 115
properties 2 w 125
of 2 w 127
symphonic 1 w 136
ratios 1 w 142
that 1 w 147
of 3 w 149
the 5 w 152
diatessaron 1 w 163
in 2 w 165
proportion 1 w 175
exceeding 1 w 184
by 1 w 186
one 1 w 189
fourth 1 w 195
as 1 w 198
is 2 w 200
the 6 w 203
ratio 2 w 208
of 4 w 210
four 2 w 214
to 1 w 216
three 1 w 221
that 2 w 226
of 5 w 228
fifths 1 w 234
exceeding 2 w 243
in 5 w 245
the 7 w 248
ratio 3 w 253
of 6 w 255
half 1 w 259
as 2 w 261
much 1 w 265
again 1 w 270
as 3 w 273
is 3 w 275
the 8 w 278
case 1 w 282
with 1 w 286
the 9 w 289
proportion 2 w 299
of 7 w 301
three 2 w 306
to 2 w 308
two 1 w 311
Also 1 w 316
that 3 w 321
of 8 w 323
the 10 w 326
diapason 1 w 334
where 1 w 340
the 11 w 343
proportion 3 w 353
is 4 w 355
precisely 1 w 364
twofold 1 w 371
as 6 w 374
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the 12 w 379
ratio 4 w 384
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two 3 w 389
to 3 w 391
one 2 w 394
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that 4 w 401
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the 13 w 406
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the 14 w 429
proportion 4 w 439
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