Enharmonic: Difference between revisions

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Two intervals or notes are '''enharmonically equivalent''' or simply '''enharmonic''' if they are mapped to the same number of steps in a tempered tuning system. For example, in 5edo, E and F are enharmonic because they are both mapped to 480 cents above C, and in 12edo, the augmented fourth and diminished fifth are enharmonic because they are both mapped to the semioctave of 600 cents.

Intervals can also be called enharmonic if they are close together but not exactly the same~~, for example if they are separated by a small comma~~, like the [[Pythagorean diminished fourth]] and [[81/64|Pythagorean major third]]. This extends to interval regions and categories, where interval categories that mostly overlap (like augmented thirds and perfect fourths) are considered "enharmonic".

Intervals can also be called enharmonic if they are close together but not exactly the same, like the [[Pythagorean diminished fourth]] and [[81/64|Pythagorean major third]]. This extends to interval regions and categories, where interval categories that mostly overlap (like augmented thirds and perfect fourths) are considered "enharmonic". The difference between two intervals that are considered enharmonic is a [[comma]], which can be tempered out to form a musical [[temperament]]. Alternatively, if they are treated as distinct, the small interval may be called a [[Diesis (scale theory)|diesis]], though note that both "comma" and "diesis" have other meanings.

Other than this, the term '''enharmonic''' has several meanings.

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 Two intervals or notes are '''enharmonically equivalent''' or simply '''enharmonic''' if they are mapped to the same number of steps in a tempered tuning system. For example, in 5edo, E and F are enharmonic because they are both mapped to 480 cents above C, and in 12edo, the augmented fourth and diminished fifth are enharmonic because they are both mapped to the semioctave of 600 cents.
-Intervals can also be called enharmonic if they are close together but not exactly the same, for example if they are separated by a small comma, like the [[Pythagorean diminished fourth]] and [[81/64|Pythagorean major third]]. This extends to interval regions and categories, where interval categories that mostly overlap (like augmented thirds and perfect fourths) are considered "enharmonic".
+Intervals can also be called enharmonic if they are close together but not exactly the same, like the [[Pythagorean diminished fourth]] and [[81/64|Pythagorean major third]]. This extends to interval regions and categories, where interval categories that mostly overlap (like augmented thirds and perfect fourths) are considered "enharmonic". The difference between two intervals that are considered enharmonic is a [[comma]], which can be tempered out to form a musical [[temperament]]. Alternatively, if they are treated as distinct, the small interval may be called a [[Diesis (scale theory)|diesis]], though note that both "comma" and "diesis" have other meanings.
 Other than this, the term '''enharmonic''' has several meanings.