Subfifth: Difference between revisions
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A '''subfifth''' is an | 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). | |||
As a concrete [[interval region]], it is typically near 650{{cent}} in size. It is too narrow to sound like a [[perfect fifth]] and too wide to sound like a [[tritone]]. [[Margo Schulter]], in her article [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum], proposes an approximate range for a subfifth to be from 640{{cent}} to 672{{cent}}. Of course, this categorization should not be taken for granted. Since music is subjective and culturally influenced, the borders of what is a superfourth are "fuzzy". Other descriptions are possible and legitimate. | |||
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]]. | |||
== See also == | == See also == | ||
* [[Superfourth]] | * [[Superfourth]] – the [[octave complement]] region | ||
{{Navbox intervals}} | {{Navbox intervals}} | ||
[[Category:Subfifth| ]] <!-- main article --> | [[Category:Subfifth| ]] <!-- main article --> | ||
Latest revision as of 08:58, 6 March 2025
A subfifth, infrafifth or semidiminished fifth is an interval that spans four steps of the diatonic scale with a quality between diminished and perfect. It exists in 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 4\7 and 13\24 (precisely four steps of the diatonic scale and six and a half steps of the chromatic scale).
As a concrete interval region, it is typically near 650 ¢ in size. It is too narrow to sound like a perfect fifth and too wide to sound like a tritone. Margo Schulter, in her article Regions of the Interval Spectrum, proposes an approximate range for a subfifth to be from 640 ¢ to 672 ¢. Of course, this categorization should not be taken for granted. Since music is subjective and culturally influenced, the borders of what is a superfourth are "fuzzy". Other descriptions are possible and legitimate.
Some of the simplest subfifths in just intonation are 16/11 (about 649 ¢) and 22/15 (about 663 ¢), both undecimal (11-based) subfifths; and 35/24 (about 653 ¢) and 72/49 (about 666 ¢), 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.
See also
- Superfourth – the octave complement region
| View • Talk • EditInterval classification | |
|---|---|
| Interval regions | |
| Unison and octave | Unison • Comma and diesis • Octave |
| Seconds | Minor second • Neutral second • Major second |
| Thirds | Minor third • Neutral third • Major third |
| Fourths and fifths | Perfect fourth • Superfourth • Tritone • Subfifth • Perfect fifth |
| Sixths | Minor sixth • Neutral sixth • Major sixth |
| Sevenths | Minor seventh • Neutral seventh • Major seventh |
| Interseptimal intervals | Interseptimal 2nd-3rd • Interseptimal 3rd-4th • Interseptimal 5th-6th • Interseptimal 6th-7th |
| Interval qualities | |
| Diatonic qualities | Diminished • Minor • Perfect • Major • Augmented |
| Tuning ranges | Neutral (interval quality) • Submajor and supraminor • Pental major and minor • Novamajor and novaminor • Neogothic major and minor • Supermajor and subminor • Ultramajor and inframinor |