Superfourth: Difference between revisions
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| 6\[[88cET]]<br />or 11\[[25edo|25]] | | 6\[[88cET]]<br />or 11\[[25edo|25]] | ||
| 528.000 | | 528.000 | ||
| | | — | ||
|- | |- | ||
| [[19/14]] | | [[19/14]] | ||
| Line 32: | Line 32: | ||
| 4\[[9edo|9]] | | 4\[[9edo|9]] | ||
| 533.333 | | 533.333 | ||
| | | — | ||
|- | |- | ||
| [[49/36]] | | [[49/36]] | ||
| Line 48: | Line 48: | ||
| 13\[[29edo|29]] | | 13\[[29edo|29]] | ||
| 537.931 | | 537.931 | ||
| | | — | ||
|- | |- | ||
| 56/41 | | 56/41 | ||
| Line 56: | Line 56: | ||
| 9\[[20edo|20]] | | 9\[[20edo|20]] | ||
| 540.000 | | 540.000 | ||
| | | — | ||
|- | |- | ||
| 41/30 | | 41/30 | ||
| Line 68: | Line 68: | ||
| 14\[[31edo|31]] | | 14\[[31edo|31]] | ||
| 541.935 | | 541.935 | ||
| | | — | ||
|- | |- | ||
| [[26/19]] | | [[26/19]] | ||
| Line 76: | Line 76: | ||
| 5\[[11edo|11]] | | 5\[[11edo|11]] | ||
| 545.455 | | 545.455 | ||
| | | — | ||
|- | |- | ||
| 37/27 | | 37/27 | ||
| Line 88: | Line 88: | ||
| 11\[[24edo|24]] | | 11\[[24edo|24]] | ||
| 550.000 | | 550.000 | ||
| | | — | ||
|- | |- | ||
| [[11/8]] | | [[11/8]] | ||
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| 6\[[13edo|13]] | | 6\[[13edo|13]] | ||
| 553.846 | | 553.846 | ||
| | | — | ||
|- | |- | ||
| 62/45 | | 62/45 | ||
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| 13\[[28edo|28]] | | 13\[[28edo|28]] | ||
| 557.143 | | 557.143 | ||
| | | — | ||
|- | |- | ||
| 243/176 | | 243/176 | ||
| Line 124: | Line 124: | ||
| 7\[[15edo|15]] | | 7\[[15edo|15]] | ||
| 560.000 | | 560.000 | ||
| | | — | ||
|} | |} | ||
Revision as of 13:12, 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
| 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 |