# 28/27

(Redirected from Trienstonic comma)
 Ratio 28/27 Factorization 22 × 3-3 × 7 Monzo [2 -3 0 1⟩ Size in cents 62.960904¢ Names septimal third-tone,small septimal chroma,subminor second,septimal minor second,septimal subminor second,trienstonic comma Color name z2, zo 2nd FJS name $\text{m2}^{7}$ Special properties superparticular,reduced Tenney height (log2 nd) 9.56224 Weil height (log2 max(n, d)) 9.61471 Wilson height (sopfr (nd)) 20 Harmonic entropy(Shannon, $\sqrt{nd}$) ~4.37861 bits Comma size medium S-expressions S7 × S8,S4 / S6 https://en.xen.wiki/w/File:Jid_28_27_pluck_adu_dr220.mp3[sound info] open this interval in xen-calc
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The superparticular interval 28/27, septimal third-tone has the seventh triangular number as a numerator and is the difference between 15/14 and 10/9, 9/8 and 7/6, 9/7 and 4/3, 3/2 and 14/9, 12/7 and 16/9, and 9/5 and 28/15.

It is very accurately approximated by 19edo (1\19), and hence the enneadecal temperament.

## Terminology

28/27 is traditionally called the small septimal chroma, perhaps for its proximity (and conflation in systems like septimal meantone) with the classic chroma, 25/24. However, it is a diatonic semitone in just intonation notation systems such as Sagittal notation, Helmholtz-Ellis notation, and Functional Just System, viewed as the Pythagorean minor second (256/243) altered by the septimal comma (64/63). Hence, it may be described as the septimal minor second or septimal subminor second if treated as an interval in its own right. This is analogous to the septimal major second 8/7, which has the same relationship with 9/8, and such classification suggests the function of a strong leading tone added to the traditional harmony. On the other side of things, it may be called the trienstonic comma if treated as a comma to be tempered out.

## Temperaments

Tempering out 28/27 leads to the trienstonic clan of temperaments.