New Text, folks.
<"I will vote according to the laws and the votes of the Demos of Athenians and the Council of the Five Hundred, and concerning matters about which there are no laws by the most just understanding, and for the sake of neither favor nor enmity. And I will vote concerning the very matters about which the prosecution is, and I will listen to both the accusers and defendants, both of them equally. I swear these things by Zeus, Apollo, and Demeter, and may I have many good things if I swear well, but destruction for me and my family if I forswear.">
[aɪ wɪl voʊt əˈkɔrdɪŋ tə ðə lɔz ənd ðə voʊts əv ðə ˈdɛˌmoʊz əv əˈθiniənz ənd ðə ˈkaʊnsəl əv ðə faɪv ˈhʌndrəd, ənd kənˈsɜrnɪŋ ˈmætərz əˈbaʊt wɪʧ ðər ər noʊ lɔz baɪ ðə moʊst ʤəst ˌʌndərˈstændɪŋ, ənd fər ðə seɪk əv ˈniðər ˈfeɪvər nɔr ˈɛnməti. ənd aɪ wɪl voʊt kənˈsɜrnɪŋ ðə ˈvɛri ˈmætərz əˈbaʊt wɪʧ ðə ˌprɑsəˈkjuʃən ɪz, ənd aɪ wɪl ˈlɪsən tə boʊθ ði əˈkjuzərz ənd dɪˈfɛndənts, boʊθ əv ðəm ˈikwəli. aɪ swɛr ðiz θɪŋz baɪ zus, əˈpɑloʊ, ənd dɪˈmitər, ənd meɪ aɪ həv ˈmɛni gʊd θɪŋz ɪf aɪ swɛr wɛl, bət dɪˈstrʌkʃən fər mi ənd maɪ ˈfæməli ɪf aɪ fɔrˈswɛr.]
ɛ ɔ > e o
ɑɪ ɑʊ > ɛ ɔ
æ ɑ ɒ > ɛ ɔ ɔ
ɜ ʌ > ɛ ɔ
ə > ɐ
z > r
p t k > f z x/V_V OR _#
p t k > p͡f t͡s k͡x/{# [Liquids] [Nasals]}_
b d g > p t k
ts > t͡s
v > b/V_V OR _[Liquids]
θ ð > d
[ɛ wɪl vɐʊz ɐˈxoːtɪŋ t͡sɐ dɐ loːr ɐnt dɐ vɐʊt͡s ɐv dɐ ˈtiːmɔs ɐv ɐˈdiːnjɐnr ɐnt dɐ ˈk͡xɔnsɐl ɐv dɐ fɛv ˈhɔntrɐt, ɐnt k͡xɐnˈsɛːnɪŋ ˈmɛzɐr ɐˈpɔz wɪt͡ʃ dɐr ɐ nɐʊ loːr pɛ dɐ mɐʊzː t͡ʒɐzː ˌɔntɐˈstɛntɪŋ, ɐnt fɐ dɐ seɪx ɐv ˈnɛdɐ ˈfeɪbɐ noːr ˈenmɪzi. ɐnt ɛ wɪl vɐʊz k͡xɐnˈsɛːnɪŋ dɐ ˈveri ˈmɛzɐr ɐˈpɔz wɪt͡ʃ dɐ ˌp͡frɔsɪˈkjuːʃɐn ɪr, ɐnt ɛ wɪl ˈlɪsn t͡sɐ pɐʊd di ɐˈkjuːrɐr ɐnt tɪˈfentɐnt͡s, pɐʊd ɐv dɐm ˈiːkwɐli. ɛ sweɐ diːr dɪŋr pɛ rjuːs, ɐˈfɔlɐʊ, ɐnt tɪˈmiːzɐ, ɐnt meɪ ɛ hɐv ˈmeni kʊt dɪŋr ɪf ɛ sweɐ wel, pɐz tɪsˈtrɔkʃɐn fɐ mi ɐnt mɛ ˈfɛmɪli ɪf ɛ foːˈsweɐ.]
EDIT: Previously, I had forgotten the z > r rule.