Definition and background:
The raised third tone ( mediant) in the C major scale. This pitch has no solfeggio representation because the actual pitch is the same as the subdominant or fourth note ( F) in the fixed do system. However, the note name E-sharp is necessary in certain instances such as the key of F-sharp major where E-sharp is the seventh note ( leading tone), or D-sharp minor, where E-sharp is the second note ( supertonic). The frequencies of the audible pitches of E-sharp are notated below. See also [Eng.] E-sharp; [Fr.] Mi di'se; [Ger.] Eis; [It.] Mi diesis; [Sp.] Mi sostenido.
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Wikipedia - Glossary of Musical Terminology
Virginia Tech Multimedia Music Dictionary
ORB -- Medieval Music Glossary