In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. In terms of cents, it is 267 cents, a quartertone of size 36/35 flatter than a just minor third of 6/5. In 24-tone equal temperament five quarter tones approximate the septimal minor third at 250 cents. A septimal minor third is almost exactly two-ninths of an octave, and thus all divisions of the octave into multiples of nine (72 equal temperament being the most notable) have an almost perfect match to this interval. The septimal major sixth, 12/7, is the inverse of this interval.
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| - Septimale kleine terts (nl)
- Septimal minor third (en)
- 含七小三度 (zh)
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| - 在音樂中，含七小三度（英語：septimal minor third），亦稱下小三度（這是赫爾曼·馮·亥姆霍茲的叫法），是比例為7:6的音程。這音程折合267音分，比純律的小三度（6:5）小一個。二十四平均律中的五個四分一音（）折合250音分，和這音程相近。 含七小三度是泛音列中從第六個泛音到第七個的音程。十二平均律的音中，除了基音和第二泛音外，與其他音都不和諧。這音程比6:5的三度更黑暗但亦討人喜歡。用這個三度而成的三和弦稱為含七小三和弦或下小三和弦。 在中庸全音律中，含七小三度以增二度的形式出現。Tunings of the meantone fifth in the neighborhood of will give three septimal minor thirds among the twelve minor thirds of the tuning; since the appears with an ordinary minor third, this entails there are three septimal minor triads, eight ordinary minor triads and one triad containing the arising from an ordinary minor third followed by a . (zh)
- In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. In terms of cents, it is 267 cents, a quartertone of size 36/35 flatter than a just minor third of 6/5. In 24-tone equal temperament five quarter tones approximate the septimal minor third at 250 cents. A septimal minor third is almost exactly two-ninths of an octave, and thus all divisions of the octave into multiples of nine (72 equal temperament being the most notable) have an almost perfect match to this interval. The septimal major sixth, 12/7, is the inverse of this interval. (en)
- De septimale kleine terts (afgekort septimale m3) is de toon die precies 7/6 keer zo hoog is als de grondtoon. Uitgedrukt in cents bedraagt deze toonafstand 267. Ter vergelijking: een getempereerde kleine terts komt overeen met 300 cents. De septimale kleine terts is een toon die niet voorkomt in de Westerse gelijkzwevende stemming, maar wel een consonante toon die gebruikt wordt in de microtonale muziek, de Bohlen-Pierce verdeling en een aantal niet-westerse toonschalen. De septimale kleine terts heeft verwantschappen andere uit de septimalenreeks: (nl)
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| - A880, followed by 1026.67 Hz, followed by both tones together, followed by the implied root frequency of 586.67 Hz, a fifth below the A (en)
- A440, followed by 513.333 Hz, followed by both tones together (en)
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| - Septimal minor third (en)
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| - Sawtooth wave (en)
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| - In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. In terms of cents, it is 267 cents, a quartertone of size 36/35 flatter than a just minor third of 6/5. In 24-tone equal temperament five quarter tones approximate the septimal minor third at 250 cents. A septimal minor third is almost exactly two-ninths of an octave, and thus all divisions of the octave into multiples of nine (72 equal temperament being the most notable) have an almost perfect match to this interval. The septimal major sixth, 12/7, is the inverse of this interval. The septimal minor third may be derived in the harmonic series from the seventh harmonic, and as such is in inharmonic ratios with all notes in the regular 12TET scale, with the exception of the fundamental and the octave. It has a darker but generally pleasing character when compared to the 6/5 third. A triad formed by using it in place of the minor third is called a "septimal minor" or "subminor triad" . In the meantone era the interval made its appearance as the alternative minor third in remote keys, under the name augmented second. Tunings of the meantone fifth in the neighborhood of quarter-comma meantone will give three septimal minor thirds among the twelve minor thirds of the tuning; since the wolf fifth appears with an ordinary minor third, this entails there are three septimal minor triads, eight ordinary minor triads and one triad containing the wolf fifth arising from an ordinary minor third followed by a septimal major third. Composer Ben Johnston uses a small "7" as an accidental to indicate a note is lowered 49 cents, or an upside down seven ("ㄥ") to indicate a note is raised 49 cents. The position of this note also appears on the scale of the Moodswinger. Yuri Landman indicated the harmonic positions of his instrument in a color dotted series. The septimal minor third position is cyan blue as well as the other knotted positions of the seventh harmonic (5/7, 4/7, 3/7, 2/7 and 1/7 of the string length of the open string). (en)
- De septimale kleine terts (afgekort septimale m3) is de toon die precies 7/6 keer zo hoog is als de grondtoon. Uitgedrukt in cents bedraagt deze toonafstand 267. Ter vergelijking: een getempereerde kleine terts komt overeen met 300 cents. De septimale kleine terts is een toon die niet voorkomt in de Westerse gelijkzwevende stemming, maar wel een consonante toon die gebruikt wordt in de microtonale muziek, de Bohlen-Pierce verdeling en een aantal niet-westerse toonschalen. De septimale kleine terts heeft verwantschappen andere uit de septimalenreeks:
* De septimale tritonus of BP-tritonus (7/5) is een reine kleine terts van de septimale kleine terts.
* De harmonische septiem (7/4) is een reine kwint van de septimale kleine terts.
* De minimale decime, BP-decime (7/3) is een octaaf van de septimale kleine terts.
* De 7/2 is twee octaven hoger dan de septimale kleine terts.
* De 7/1 is 3 octaven hoger dan de septimale kleine terts. (nl)
- 在音樂中，含七小三度（英語：septimal minor third），亦稱下小三度（這是赫爾曼·馮·亥姆霍茲的叫法），是比例為7:6的音程。這音程折合267音分，比純律的小三度（6:5）小一個。二十四平均律中的五個四分一音（）折合250音分，和這音程相近。 含七小三度是泛音列中從第六個泛音到第七個的音程。十二平均律的音中，除了基音和第二泛音外，與其他音都不和諧。這音程比6:5的三度更黑暗但亦討人喜歡。用這個三度而成的三和弦稱為含七小三和弦或下小三和弦。 在中庸全音律中，含七小三度以增二度的形式出現。Tunings of the meantone fifth in the neighborhood of will give three septimal minor thirds among the twelve minor thirds of the tuning; since the appears with an ordinary minor third, this entails there are three septimal minor triads, eight ordinary minor triads and one triad containing the arising from an ordinary minor third followed by a . (zh)
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