Major fourth and minor fifth
| Inverse | Minor fifth |
|---|---|
| Name | |
| Other names | Eleventh harmonic |
| Abbreviation | M4 |
| Size | |
| Semitones | ~5½ |
| Interval class | ~5½ |
| Just interval | 11:8 |
| Cents | |
| 24 equal temperament | 550 |
| Just intonation | 551.28 |
| Inverse | Major fourth |
|---|---|
| Name | |
| Other names | Eleventh subharmonic |
| Abbreviation | m5 |
| Size | |
| Semitones | ~6½ |
| Interval class | ~5½ |
| Just interval | 16:11 |
| Cents | |
| 24 equal temperament | 650 |
| Just intonation | 648.68 |
Play 
Play and its inverse, the just tritone on C Play In music, major fourth and minor fifth are intervals from the quarter tone scale, named by Ivan Wyschnegradsky to describe the tones surrounding the tritone (F♯/G♭) found in the more familiar twelve tone scale.[1]
| perfect fourth | major fourth | tritone | minor fifth | perfect fifth | |
|---|---|---|---|---|---|
| in C: | F | ≊ F |
F♯/G♭ | ≊ G |
G |
Major fourth
A major fourth ( Play ) is the interval between the perfect fourth (500 cents) and the augmented fourth (600 cents) and thus 550 cents (F). It inverts to a minor fifth. Wyschnegradsky considered it a good approximation of the eleventh harmonic (11:8 or 551.28 cents).[1]
The term may also be applied to the "comma-deficient major fourth" (or "chromatic major fourth"[2]) is the ratio 25:18, or 568.72 cents (F♯).[3]
Minor fifth
A minor fifth ( Play ) is the interval between the diminished fifth (600 cents) and the perfect fifth (700 cents) and thus 650 cents (G). It inverts 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),[2] 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.[3]
Other
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):
- The "comma-deficient major fourth" (or "chromatic major fourth"[2]) is the ratio 25:18, or 568.72 cents (F♯).[3]
- 45:32 (F♯+) or 590.22 cents ( Play ), formed from the major third (5/4 = 386.31) and the major tone (9/8 = 203.91) or two major tones (9:8) and one minor tone (10:9)[2]
- 729:512 (F♯++) or 611.73 cents ( Play ), formed from the perfect fourth and the apotome.[2]
See also
Sources
- 1 2 Skinner, Miles Leigh (2007). Toward a Quarter-tone Syntax: Analyses of Selected Works by Blackwood, Haba, Ives, and Wyschnegradsky, p.25. ProQuest. ISBN 9780542998478.
- 1 2 3 4 5 Richard Mackenzie Bacon (1821). "Manuscript Work of Francesco Bianchl", The Quarterly Musical Magazine and Review, Volume 3, p.56.
- 1 2 3 (1832). The Edinburgh Encyclopaedia, Volume 9, p.249. Joseph Parker. [ISBN unspecified]
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