There are electronic musical instruments specifically marketed for Greek, Turkish, and Arabic music, utilizing modes and scales from those cultures as well as specific microtonal tuning (rather than the 12 equally-spaced pitches in an octave that we refer to as equal temperament).
You might be able to find owners manuals or documentation on these instruments that would explain the scales and tunings programmed into them.
I'm fairly certain you could find an affordable virtual instrument for your computer that could reproduce these scales and microtonal tunings in a way that a piano or guitar cannot.
Here is one example from GeneralMusic, an Italian company.
Genesys Pro Oriental is the new GEM multimedia workstation explicitly
developed for the music of Middle East and Mediterranean countries.
Featuring the exclusive and advanced technical characteristics that
have made the Genesys one of the most popular keyboards in the world,
the new Genesys Pro Oriental includes 128 new styles and over 200
hi-quality oriental sounds and percussions originating from different
cultures such as Arab, Greek, and Turkish designed in collaboration
with the top musicians from this sector. Genesys Pro Oriental includes
some important features that fulfil oriental music requirements, such
as a joystick for pitch and modulation and programmable Arabic scales,
assignable to the programmable pads. For the most demanding musicians,
the external module AS-1 can be easily connected, allowing to create,
save and recall Arabic scales and microtuned notes.
Main features: 128MB RAM memory (64MB internal sounds + 32MB new
sounds + 32MB user samples) 256 Factory Presets (including 200
hi-quality oriental sounds) and 256 User Presets; 64 notes polyphony
256 Factory Styles (including 128 new oriental styles) and 64 User
Styles Built-in CD player/burner Internal 20GB Hard disk; sampler and
hard disk recording functions (mono/stereo) Vocal genius with separate
EFX for the microphone Wide LCD graphic display (320 x 240)
Pitch/modulation joystick new software functions: Edit Parts functions
(L+R Mode, Portamento, Legato), MultiPedal Mode, new Play List
function, and others...
By merging the exceptional performances of the Genesys series with the
versatility of the AS-1 module, with Genesys Pro Oriental you will
discover the fascinating world of oriental music.