Minor third

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Minor third
Inverse major sixth
Name
Other namessesquitone
Abbreviationm3
Size
Semitones 3
Interval class 3
Just interval 6:5, 19:16, 32:27 [1]
Cents
12-Tone equal temperament 300
Just intonation 316, 298, 294
19th harmonic (19:16), E 19th harmonic on C.png
19th harmonic (19:16), E

In music theory, a minor third is a musical interval that encompasses three half steps, or semitones. Staff notation represents the minor third as encompassing three staff positions (see: interval number). The minor third is one of two commonly occurring thirds. It is called minor because it is the smaller of the two: the major third spans an additional semitone. For example, the interval from A to C is a minor third, as the note C lies three semitones above A.

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Minor third

Diminished and augmented thirds span the same number of staff positions, but consist of a different number of semitones (two and five). The minor third is a skip melodically.

The minor third is classed as an imperfect consonance and is considered one of the most consonant intervals after the unison, octave, perfect fifth, and perfect fourth. It may be derived from the harmonic series as the interval between the fifth and sixth harmonics, or from the 19th harmonic.

The minor third is commonly used to express sadness in music, and research shows that this mirrors its use in speech, as a tone similar to a minor third is produced during sad speech. [2] It is also a quartal (based on an ascendance of one or more perfect fourths) tertian interval, as opposed to the major third's quintality. The minor third is also obtainable in reference to a fundamental note from the undertone series, while the major third is obtainable as such from the overtone series. (See Otonality and Utonality.)

The minor scale is so named because of the presence of this interval between its tonic and mediant (1st and 3rd) scale degrees. Minor chords too take their name from the presence of this interval built on the chord's root (provided that the interval of a perfect fifth from the root is also present or implied).

The sopranino saxophone and E♭ clarinet sound in the concert pitch (C) a minor third higher than the written pitch; therefore, to get the sounding pitch one must transpose the written pitch up a minor third. Instruments in A – most commonly the A clarinet, sound a minor third lower than the written pitch.

In other tunings

See also

References

  1. Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p. xxiv. ISBN   0-8247-4714-3. 19th harmonic, overtone minor tone.
  2. Curtis, M. E.; Bharucha, J. J. (June 2010). "The minor third communicates sadness in speech, mirroring its use in music". Emotion . 10 (3): 335–348. doi:10.1037/a0017928. PMID   20515223.
  3. Dowsett, Peter (2015). Audio Production Tips: Getting the Sound Right at the Source, p. 3.6.3. CRC. ISBN   9781317614203. "The minor third, however, does not appear in the harmonic series until the nineteenth harmonic. Your ear almost expects to hear the major third ([on A:] C), and when that is replaced with a more distantly related note, this makes the listener feel more 'unpleasant', 'tense', or 'sad'."
  4. Alexander J. Ellis (translating Hermann Helmholtz): On the Sensations of Tone as a Physiological Basis for the Theory of Music, p. 455. Dover Publications, New York, 1954. "16:19...The 19th harmonic, ex. 297.513 [cents]". Later reprintings: ISBN   1-150-36602-8 or ISBN   1-143-49451-2.
  5. Prout, Ebenezer (December 1, 1908). "In the Forecourts of Instrumentation", The Monthly Musical Record. p. 268.
  6. John Fonville. "Ben Johnston's Extended Just Intonation – A Guide for Interpreters", p. 124, Perspectives of New Music , vol. 29, no. 2 (Summer 1991), pp. 106-137.
  7. Paul, Oscar (1885). A manual of harmony for use in music-schools and seminaries and for self-instruction , p. 165. Theodore Baker, trans. G. Schirmer.