Did a quick search on Youtube for possibly Ramkhamhaeng inspiration
1. The sound of frogs (Thailand) sukritact, any Thai name for this listed in the book?
2. Chinese ensemble with song “Chung we meng” (Thailand) no luck so far
3. Classical pinn peat dance piece “Thep monorom” (Cambodia)
http://www.youtube.com/watch?v=3cMoUU6m2cI
4. Salaw seung pi ensemble (northern Thailand) no luck
5. Lam sing repartee song (northeast Thailand) what is a repartee?
http://www.youtube.com/watch?v=psAEOKqeBcg
6. Accompanied lam salavane repartee song (southern Laos)
http://www.youtube.com/watch?v=zpEywUmPC_o a remix though….
7. Kyo classical song (Burma)
http://www.youtube.com/watch?v=2bJCoTIlaOQ same one or similar?
8. Nhac le ritual ensemble (Vietnam) seems like a type of music using a specific set of instrument
9. Khap repartee singing (upland Vietnam) no luck
10. Gong ensemble with song “Yong Thoach” (upland Vietnam) no luck
11. East Javanese gamelan piece “Srempeg” (Java)
http://www.youtube.com/watch?v=3vezWaMh3M0 not specific piece but with same instrument
This probably inspired the Kuala Lumpur Theme, I'm sure Malay music is quite similar to Indonesian


12. Accompanied cakepung song “Pemungkah” (Bali)
http://www.youtube.com/watch?v=Q8hTSj-5X4Q not sure if same exact song
13. Shadow play music “Telaga dundan” (Lombok) I know what shadow plays are, in Malay, they are called Wayang kulit
14. Gong, drum, and xylophone ensemble (Philippines) not specific of a name, any native Tagalog/Filipino music.
15. Song “Kulilal ni puguq” accompanied by tube zither
(upland Philippines) no luck on youtube
so Rammy's themes are prolly based on the Thai music (dancing ones?)
Kuala Lumpur theme based on Javanese music
Hanoi theme possibly based on Vietnamese music
Singapore is unknown, though likely Chinese
Seoul is presumed to be Korean music
Almaty is possibly Central Asia music (haven't really listened to any yet)