A Song of the Sun is hidden in the 'night sky' of the seal; it is A Song of the Stars upside down.
If the seal is turned upside down to see this, the 'waves' of the 'sea' become the 'rays' of the 'sun', hence the song's name.
Though Descole had decrypted A Song of the Stars and A Song of the Sea successfully from the Ambrosian seal, he had failed to find A Song of the Sun. He did not realize his error until a year later during the events of Eternal Diva.
Whilst Descole was attempting to make the ruins of Ambrosia rise (playing A Song of the Stars on the Detragan harmoniously with Melina singing A Song of the Sea), Professor Layton worked out from looking at the Seal carved into the roof of Descole's castle upside down that there was a third song, A Song of the Sun. Descole failed in raising Ambrosia because of this missing component.
After reaching the top of the Detra-Gigant with Luke in order to rescue Melina and engaging in a duel with Descole, Layton explained to Descole about the missing song. He then played both A Song of the Stars and A Song of the Sun on the Detragan, and with Melina's singing, the buried ruins of Ambrosia rose from the sea.
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A Song of the Sun
- Though A Song of the Stars being A Song of the Sun the right way up is true, the notes on the seal were not accurately drawn on the seal due to design and esthetic reasons.