A true alphabet has letters for the vowels of a language as well as the consonants.
The indication of the vowels is the same way as the indication of the consonants, therefore it was the first true alphabet.
However, in Kurdish, writing the vowels is mandatory, and full letters are used, so the script is a true alphabet.
Although short a was not written, as in the Indic abugidas, one could argue that the linear arrangement made this a true alphabet.
This is the case for Vietnamese (a true alphabet) and Thai (an abugida).
The largest true alphabet where each letter is graphically independent is probably Georgian, with 41 letters.
Chinese and Japanese are major exceptions because they still rely on a logosyllabic system instead of a true alphabet reflecting sounds.
These ómatehtar modes can be loosely considered consonant scripts rather than true alphabets.
Hangul is a true alphabet of 24 consonant and vowel letters.
The Greek alphabet thus became the world's first "true" alphabet.