Superfourth: Difference between revisions
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A '''superfourth''' is an [[interval]] too wide to sound like a [[perfect fourth]] and too narrow 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 superfourth to be from | A '''superfourth''' is an [[interval]] too wide to sound like a [[perfect fourth]] and too narrow 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 superfourth to be from 528{{cent}} to 560{{cent}}. Some of the simplest superfourths in [[just intonation]] are [[11/8]] (about 551.3{{c}}) and [[15/11]] (about 537{{c}}), both undecimal (11-based) superfourths; and [[48/35]] (about 546.8¢) and [[49/36]] (about 533.7{{c}}), both septimal (7-based) superfourths. | ||
The inversion of a superfourth is a [[subfifth]]. | The inversion of a superfourth is a [[subfifth]]. | ||
| Line 11: | Line 11: | ||
|- | |- | ||
! Interval | ! Interval | ||
! Cents | ! Cents | ||
! Prime | ! Prime limit<br />(if applicable) | ||
|- | |- | ||
| 6\[[88cET]] <br> or 11\[[25edo|25]] | | 6\[[88cET]]<br />or 11\[[25edo|25]] | ||
| 528.000 | | 528.000 | ||
| - | | - | ||
| Line 128: | Line 128: | ||
== See also == | == See also == | ||
* [[43/31]] | * [[43/31]] – a tritone with a "superfourth-ish" taste | ||
* [[Interval category]] | * [[Interval category]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Subfifth]] | * [[Subfifth]] – the [[octave complement]] region | ||
[[Category:Superfourth| ]] <!-- main article --> | [[Category:Superfourth| ]] <!-- main article --> | ||
Revision as of 13:09, 5 March 2025
A superfourth is an interval too wide to sound like a perfect fourth and too narrow to sound like a tritone. Margo Schulter, in her article Regions of the Interval Spectrum, proposes an approximate range for a superfourth to be from 528 ¢ to 560 ¢. Some of the simplest superfourths in just intonation are 11/8 (about 551.3 ¢) and 15/11 (about 537 ¢), both undecimal (11-based) superfourths; and 48/35 (about 546.8¢) and 49/36 (about 533.7 ¢), both septimal (7-based) superfourths.
The inversion of a superfourth is a subfifth.
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.
Examples
Below is a list of some intervals in the superfourth range, both just and tempered.
| Interval | Cents | Prime limit (if applicable) |
|---|---|---|
| 6\88cET or 11\25 |
528.000 | - |
| 19/14 | 528.687 | 19 |
| 87/64 | 531.532 | 29 |
| 34/25 | 532.328 | 17 |
| 4\9 | 533.333 | - |
| 49/36 | 533.742 | 7 |
| 64/47 | 534.493 | 47 |
| 15/11 | 536.951 | 11 |
| 13\29 | 537.931 | - |
| 56/41 | 539.764 | 41 |
| 9\20 | 540.000 | - |
| 41/30 | 540.794 | 41 |
| 175/128 | 541.453 | 7 |
| 14\31 | 541.935 | - |
| 26/19 | 543.015 | 19 |
| 5\11 | 545.455 | - |
| 37/27 | 545.479 | 37 |
| 48/35 | 546.815 | 7 |
| 11\24 | 550.000 | - |
| 11/8 | 551.318 | 11 |
| 6\13 | 553.846 | - |
| 62/45 | 554.812 | 31 |
| 40/29 | 556.737 | 29 |
| 13\28 | 557.143 | - |
| 243/176 | 558.457 | 11 |
| 29/21 | 558.796 | 29 |
| 47/34 | 560.551 | 47 |
| 7\15 | 560.000 | - |
See also
- 43/31 – a tritone with a "superfourth-ish" taste
- Interval category
- Gallery of just intervals
- Subfifth – the octave complement region