"Most inclinatory" is a phrase with an unusual spelling. The word "inclination" is spelled with a "c" instead of a "k," and the suffix "-atory" is added to make it an adjective. The pronunciation of the word is /ˌməʊst ɪnˈklaɪnət(ə)ri/. This means that the stress falls on the second syllable, and the vowel in the third syllable is pronounced as a schwa sound. The spelling may be confusing, but understanding the IPA transcription can help with pronunciation.
The word "most inclinatory" does not seem to have a widely established etymology as it is not a commonly used term in the English language. The word "inclinator" is derived from the Latin word "inclinator" meaning "to incline" or "to lean towards". However, when "inclinator" is turned into an adjective, such as "inclinatory", it is uncommon to use the term "most inclinatory". It is possible that the phrase "most inclinatory" has been coined recently or used in a specific context, but without further information, it is challenging to determine its etymology.