| Inverse | Minor fifth |
|---|---|
| Name | |
| Other names | Eleventh harmonic Paramajor fourth |
| Abbreviation | M4 |
| Size | |
| Semitones | ~5½ |
| Interval class | ~5½ |
| Just interval | 11:8 |
| Cents | |
| 24-Tone equal temperament | 550 |
| Just intonation | 551.32 |
| Inverse | Major fourth |
|---|---|
| Name | |
| Other names | Eleventh subharmonic Paraminor fifth |
| Abbreviation | m5 |
| Size | |
| Semitones | ~6½ |
| Interval class | ~5½ |
| Just interval | 16:11 |
| Cents | |
| 24-Tone equal temperament | 650 |
| Just intonation | 648.68 |
Inmusic, themajor fourth andminor fifth, also known as theparamajor fourth andparaminor fifth, areintervals from thequarter-tone scale, named byIvan Wyschnegradsky to describe the tones surrounding thetritone (F♯/G♭) found in the more familiartwelve-tone scale,[1] as shown in the table below:
| perfect fourth | (para)major fourth | tritone | (para)minor fifth | perfect fifth | |
|---|---|---|---|---|---|
| In C: | F | ≊ F | F♯/G♭ | ≊ G | G |
| In cents: | 500 | 550 | 600 | 650 | 700 |
A major fourth (Playⓘ) is the interval that lies midway between theperfect fourth (500cents) and theaugmented fourth (600 cents) and is thus 550 cents (F). Itinverts to a minor fifth. Wyschnegradsky considered it a good approximation of theeleventh harmonic[1] (11:8 or 551.32 cents).[2] A narrower undecimal major fourth is found at 537 cents (the ratio 15:11).31 equal temperament has an interval of 542 cents, which lies in between the two types of undecimal major fourth.
The term may also be applied to the "comma-deficient major fourth" (or "chromatic major fourth"[3]), which is the ratio 25:18, or 568.72 cents (F♯).[4]
A minor fifth (Playⓘ) is the interval midway between thediminished fifth (600 cents) and theperfect fifth (700 cents) and thus 650 cents (G). Itinverts to a major fourth. It approximates the eleventh subharmonic (G↓), 16:11 (648.68 cents).
The term may also be applied to the ratio 64:45 (G♭-) or 609.77 cents (Playⓘ), formed from the perfect fourth (4/3 = 498.04) and the major semitone (16/15 = 111.73),[3] which is sharp of the G♭ tritone. The "comma-redundant minor fifth" has the ratio 36:25 (G♭), or 631.28 cents, and is formed from two minor thirds.[4] The tridecimal minor fifth (13:9), or tridecimaltritone, is slightly larger at 636.6 cents.
The term major fourth may also be applied to the follow, as minor fifth may be applied to their inversions (in the sense of augmented and diminished):
| Twelve- semitone (post-Bach Western) |
| ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Other tuning systems |
| ||||||||||||||
| Other intervals |
| ||||||||||||||
 | Thismusic theory article is astub. You can help Wikipedia byadding missing information. |
