The Timaeus of Plato

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no HAATflNOS [36 B rptra frdvra ^vvejrX'rjpovro, XeiTTtwi/ avrwv etcdffrov fioptov, T^? rot) fiopiov TavTijS SiaoT
c] TIMAI02. ii i terms of the interval forming this fraction are in the numerical proportion of 2$6 to 243. By this time the mixture, whence he cut off these portions, was all used up. Next he cleft the structure so formed lengthwise into two halves, and laying the two so as to meet in the centre in the shape of the letter X, he bent them into a circle and joined them, causing them to meet satisfactory than any other I can suggest. The scale given by Proklos is not suitable ; nor yet one which he attributes to Severus, who, supposing him to start from A minor, modulates as far as C minor. The extent of Plato's scale, four octaves and a major sixth, is far greater than any that actually occurred in Greek music, which employed at most but two octaves. It has been suggested by Proklos that Plato's reason for using so extensive a scale is that faxi) has to apprehend not only spirit but matter, which has three dimensions; hence in the symbol the cubes 8 and 27 were required. T. Xcforwv avTwv eKaorov fxopiov] Taking the first tetrachord of our scale, E to B, if we proceed to insert as many Tr6y8oa as we can, we find we can introduce two, viz. E to D, D to C : a third would take us to Bb instead of B. This interval then, C to B, is the /japiov which remains over. This is called the \eifj./j,a and has the ratio 243 : 256. The Pythagoreans held that the tone cannot be divided into two equal parts, because there is not a rational mean between 8 and 9 : they accordingly distributed it into a minor semitone or Xei/x/na, ^|, and a ., maior semitone or > / aTroro/u/n, 2048 ---; r of 2107 which two the product =-. The Pythagorean \i/j.fj.a is slightly less than the ' natural ' semitone, which is ^| or ID . 256 The pseudo-Timaeus Locrus in his abstract of this passage (96 B) says the number of terms in the series is 36 a similar : view is held, according to Proklos, by some of the old Platonists ; apparently for no other reason than that 36 is the sum of another double TerpaKTi/s given by Plutarch, consisting of the first four odd and the first four even numbers. This number of terms is gained by forming the two scales separately and then combining them so that the apotome twice occurs ; e.g. C, B, Bb, A: the interval C B being a Xet/x./u.a, the interval B Bb is an cLTTOTOfj.^. But the apotome is totally foreign to Plato's scale, which is Sidrovov ffvvrovov of the strictest kind. Nor is there any Greek scale which would tolerate three half-tones successively : even in the X/w/ia roviaioi' only two occur in succession. Nor do I see on what plan the apotome could be made to occur twice and no more. Therefore, although this view is supported by no less an authority than Bockh, we must refuse to attribute to Plato a scale which is altogether barbarous. TTJS TOV [iopCov] rrjs 8t has been retained by Hermann, who defends it as coordinating Xetiruv and
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UNIVERSITY OF CALIFORNIA, SAN DIEGO
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JNIVERSITY OF CALIFORNIA SAN DIEGO
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T7AATQN02 TIMAIOI THE TIMAEUS OF PL
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PREFACE. THE present appears to be
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PREFACE. vii this would have been s
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INTRODUCTION. i. OF all the more im
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Greek thought. I 2 INTRODUCTION. 3
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INTRODUCTION. 5 time the drop reach
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INTROD UCTION. 7 Not-being is not,
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INTRODUCTION. 9 exist, or neither :
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INTROD UCTION. \ I must at some poi
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INTROD UCTION. 1 3 ledge. The natur
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INTROD UCTIOtf. 1 5 obviously our b
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INTRODUCTION. 17 inherent in the su
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INTRODUCTION. 19 inevitable concomi
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INTROD UCTION. 2 1 senses with the
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INTROD UCTION. 2 3 is disposed of b
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INTRODUCTION. 25 But what is the Tr
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INTROD UCTION. 27 Moreover, putting
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INTRODUCTION. 29 Yet, though matter
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INTRODUCTION. 31 But we must beware
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INTRODUCTION. 33 itself to the sens
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INTRODUCTION. 35 pluralisation and
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INTROD UCTION. 3 7 and orders it, w
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- INTRODUCTION. 39 are alike eterna
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INTROD UCTION. 4 1 itself. So then
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INTRODUCTION. 43 in terms of the vi
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INTROD UCTION. 4 5 in the notes; bu
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INTRODUCTION. 47 Oflov : that is to
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INTRODUCTION. 49 the other ideas. F
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INTROD UCTION. 5 r nor will he do o
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TIMAIOS
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PERSONS OF THE DIALOGUE: SOKRATES,
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18 A] TIMAIO2. 57 Sokrates. Do you
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Page 73 and 74: TIMAIOS. 6r provision for the contr
Page 75 and 76: 20 A] TIMAIOS. 63 tion, both when d
Page 77 and 78: E] TIMAIO2. 65 many witnesses that
Page 79 and 80: 21 B] TIMAIOS. passages of his : po
Page 81 and 82: 22 A] TIMAIDS. 69 prizes for reciti
Page 83 and 84: D] TIMAIO2. 71 he essayed to tell t
Page 85 and 86: 23 B] TIMAIOS. 73 waters, those in
Page 87 and 88: 24 A] TIMAIOS. 75 remember but one
Page 89 and 90: D] TIMAIO2. 77 tion of the craftsme
Page 91 and 92: 25 c] TIMAIO2. 79 nobleness surpass
Page 93 and 94: 26 A] TIMAIOS. 8 1 when the rest fe
Page 95 and 96: 27 A] TIMAIO2. 83 we should be fair
Page 97 and 98: D] TIMAIO2. 85 his business to unde
Page 99 and 100: 28 c] TIMAIO2. 87 existent. Now all
Page 101 and 102: 29 c] TIMAIO2. 89 were impossible t
Page 103 and 104: 30 A] TIMAIOS. the gods and the gen
Page 105 and 106: c] TIMAI02. 93 this might be, there
Page 107 and 108: 3i B] TIMAIO2. 95 none of these whi
Page 109 and 110: 32 A] TIMAIOS. 97 the all-perfect a
Page 111 and 112: c] TIMAIO2. 99 body of the universe
Page 113 and 114: 33 c] TIMAIOS. 101 Now the making o
Page 115 and 116: 34 A] TIMA1O2. 103 there was nothin
Page 117 and 118: 35 A] TIMAIO2. 105 he planned for t
Page 119 and 120: TIMAI02. 107 way. From the undivide
Page 121: 36 B] TIMAIO2. 109 second and tripl
Page 125 and 126: TIMAIO2. themselves and each other
Page 127 and 128: 37 A] TIMAIO2. double and triple in
Page 129 and 130: c] TIMAI02. 117 the best of all tha
Page 131 and 132: TIMAIO2. 119 found, if a man affirm
Page 133 and 134: 38 B] TIMAIO2. 121 named time. For
Page 135 and 136: XI. TIMAI02. 123 Time then has come
Page 137 and 138: TIMAI02. 12$ but having a contrary
Page 139 and 140: 39 A] TIMAI02. 127 But when each of
Page 141 and 142: D] TIMAIOS. 129 taneous motion in t
Page 143 and 144: 40 A] TIMAIOS. 131 when the relativ
Page 145 and 146: TIMAI02. 133 each, one in the same
Page 147 and 148: TIMAIO2. 135 to be the guardian and
Page 149 and 150: 4i A] TIMAI02. 137 very movements w
Page 151 and 152: c] TTMAI02. 139 by me coming into b
Page 153 and 154: TIMAIO2. 141 Therefore in order tha
Page 155 and 156: 42 B] TIMAI02. 143 each star, and s
Page 157 and 158: TIMAIOS. as are of a contrary natur
Page 159 and 160: 43 A] TIMAI02. 147 each of them, Go
Page 161 and 162: D] TIMAIO2. 149 flowing and out-flo
Page 163 and 164: 44 Bl TIMAIOl 151 they displaced, s
Page 165 and 166: flows in with smaller volume, and t
Page 167 and 168: 45 B] TIMAI02. 155 XVI. Imitating t
Page 169 and 170: TIMAIOS. 157 but not of burning, th
Page 171 and 172: 4613] TIMAIOS. 159 which has in it
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TIMAIO2. 161 of the visual current
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the coal's descent, it is broken in
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E] TIMAIOS. 165 wisdom, if he be bl
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48 A] TIMAIOS. 167 we have been dec
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D] TIMAIOS. 169 let us return upon
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49 A] TIMAIO2. 171 familiar discour
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D] TIMAIOS. 173 saying is true, but
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50 B] TIMAI02. 175 appellation we m
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D] TIMAIO2. 177 other shapes that w
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5i B] TIMAIO2. 179 forms which it i
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E] TIMAIO2. 181 of it. That part of
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52 A] TIMAI02. 183 suasion, the oth
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TIMAIO2. 185 affording place for al
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53 A] TIMAIO2. 187 XIX. Such then i
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c] T1MAI02. 189 Even so when the fo
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54 A] TIMAIO2. 191 XX. In the first
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c] TIMAIO2. 193 but the scalene an
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55 A] TIMAI02. 195 For since they a
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c] TIMAIO2. 197 parts. The second i
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TIMAIOS. 199 XXI. Now if any man, r
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56 c] TIMAIOS. 201 with unequal and
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TIMAI02. 203 sity, consenting and y
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57 A] TIMAIOS. 205 two of air : and
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D] TIMAIO2. 207 smaller figures few
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58 A] TIMAIOS. 209 are mixed up wit
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TIMAIO2. 211 no vacant space to be
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59 B] TIMAI02. 213 is that which is
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D] TIMAIOS. 215 and formed of the f
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60 B] TIMAIO2. 217 Water mingled wi
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c] TIMAIOS. 219 pores of the mouth
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TIMAIOS. 221 which is suddenly depr
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61 B] TIMAIO2. 223 earth and water
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c] TIMAIO2. 22$ bulk undissolved; b
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62 B] TIMAIOS. 227 Now this cannot
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C] TIMAI02. 229 us ; and whereas it
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63 B] TIMAIOl 231 since the form of
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E] TIMAIOS. 233 acquiring the needf
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64 B] TIMAIOS. 235 that makes us ca
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E] TIMAIOS. 237 the property of the
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65 c] TIMAIOS. 239 are entirely fre
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66 A] TIMAIOS. 241 like most other
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D] TIMAIOS. 243 duly proportioned t
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6 7 A] TIMAI02. part are formed too
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TIMAIO2. 247 only two conspicuous k
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E] TIMAIO2. 249 varieties of which
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68 c] TIMAIO2. 251 penetrates the v
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69 A] TIMAIDS. 253 deep blue mingle
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c] TIMAIO2. 255 XXXI. Now therefore
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70 A] TIMAIOS. 257 ride in; and bes
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c] TIMAIO2. 259 soul which shares c
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TIMAIO2. 261 they made the windpipe
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71 B] TIMAIOS. 263 then that always
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D] TJMA1O2. from the brain, when th
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72 B] TIMAIO2. 267 were able, in th
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E] TIMAIO2. 269 enough ; but when d
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73 c] TIMAIO2. 271 upon the foregoi
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74 A] TIMAIO2. 273 with another, to
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TIMAI02. 275 made joints in it, usi
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75 A] TIMAIOS. 277 he mingled it wi
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D] TIMAIOS. 279 where God has forme
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76 A] TIMAIO2. 281 uniformity; and
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D] TIMAIO2. 283 contend more veheme
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OdfJivos 77 A] TIMAIO^. 285 yet exi
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c] TIMA1O2. 287 the cultivated tree
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TIMAIOS. 289 stationary and rooted
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78 B] TIMAIO2. 291 they did, partly
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D] T1MAIO2. 293 like a fish-trap or
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79 A] TIMAI02. 295 which are confin
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E] TIMAIO2. 297 tion and the causes
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8o A] TIMAIO2. 299 is heated, but t
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c] TIMAIO2. 301 sometimes having no
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TIMAI02. 303 amber and of the loads
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8 1 B] TIMA1OS. 305 stantly supplie
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K] TIMAIO2. 307 frame then of the e
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82 B] TIMAIOS. 309 XXXIX. Now the c
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E] TIMAI02. 311 natural state of un
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83 c] TIMAIO2. 313 properties ; and
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84 B] TIMAIO2. 315 which is formed
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E] TIMAIOS. 317 bare and full of br
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! 85 H] TIMAI02. 319 excessive swea
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86 A] TIMAIDS. 321 of the body, so
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c] TIMAIOS. 323 excess of fire, it
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TIMAIOS. 325 In whomsoever the seed
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8; B] TIMAIOS. 327 to some bad habi
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88 A] TIMAIO2. 329 XLII. The counte
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c] TIMAI02. 331 public in a spirit
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89 B] TIMAIOS. 333 within by the pa
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E] TIMAIO2. 335 every form of sickn
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90 c] TIMAIO2. 337 find a consisten
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9i A] TIMAIO2. 339 the truth ; and
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E] T1MA1O2. 341 and another in wome
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92 B] TIMAIO2. 343 And the race of
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c] TIMA102. 345 uttermost dwelling-
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348 INDEX /. aur6 TOVTO (
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. or 350 INDEX I. s, 128 av, 248 av
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352 INDEX I.
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354 INDEX II. Cooling, 212 Cosmic s
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356 INDEX II. Proportion, 96 Nile,
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358 INDEX II. White, 248 Wine, 216
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CLASSICAL LIBRARY. COMMENTARIES AND
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UC SOUTHERN REGIONAL LIBRARY FACILI
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The Timaeus of Plato

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