Subfifth: Difference between revisions

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A '''subfifth''' or '''semidiminished fifth''' is an [[interval]] that spans four steps of the [[5L 2s|diatonic]] scale with a quality between diminished and perfect. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a minor ninth.

A '''subfifth''', '''infrafifth''' or '''semidiminished fifth''' is an [[interval]] that spans four steps of the [[5L 2s|diatonic]] scale with a quality between diminished and perfect. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a minor ninth.

In [[just intonation]], an interval may be classified as a subfifth if it is reasonably mapped to [[7edo|4\7]] and [[24edo|13\24]] (precisely four steps of the diatonic scale and six and a half steps of the chromatic scale).

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Some of the simplest subfifths in [[just intonation]] are [[16/11]] (about 649{{c}}) and [[22/15]] (about 663{{c}}), both undecimal (11-based) subfifths; and [[35/24]] (about 653{{c}}) and [[72/49]] (about 666{{c}}), both septimal (7-based) subfifths.

Information about subfifths in the conventional interval region format may be found at [[Tritone]].

The inversion of a subfifth is a [[superfourth]].

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-A '''subfifth''' or '''semidiminished fifth''' is an [[interval]] that spans four steps of the [[5L 2s|diatonic]] scale with a quality between diminished and perfect. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a minor ninth.
+A '''subfifth''', '''infrafifth''' or '''semidiminished fifth''' is an [[interval]] that spans four steps of the [[5L 2s|diatonic]] scale with a quality between diminished and perfect. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a minor ninth.
 In [[just intonation]], an interval may be classified as a subfifth if it is reasonably mapped to [[7edo|4\7]] and [[24edo|13\24]] (precisely four steps of the diatonic scale and six and a half steps of the chromatic scale).
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 Some of the simplest subfifths in [[just intonation]] are [[16/11]] (about 649{{c}}) and [[22/15]] (about 663{{c}}), both undecimal (11-based) subfifths; and [[35/24]] (about 653{{c}}) and [[72/49]] (about 666{{c}}), both septimal (7-based) subfifths.
+Information about subfifths in the conventional interval region format may be found at [[Tritone]].
 The inversion of a subfifth is a [[superfourth]].