400/399: Difference between revisions

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'''400/399''', the '''devichroma''' is a [[19-limit]] (also 2.3.5.7.19 [[subgroup]]) [[superparticular]] [[comma]] of about 4.33 [[cent]]s. It is the difference between undevicesimal chroma, [[20/19]] and large septimal chroma, [[21/20]]. By tempering it out is defined the '''devichromic temperament''', which enables the [[devichromic chords]].
'''400/399''', the '''devichroma''' is a [[19-limit]] (also 2.3.5.7.19 [[subgroup]]) [[superparticular]] [[comma]] of about 4.33 [[cent]]s. It is the difference between undevicesimal chroma, [[20/19]] and large septimal chroma, [[21/20]], and between the subfourths [[21/16]] and [[25/19]]. By tempering it out is defined the '''devichromic temperament''', which enables the [[devichromic chords]].


== Etymology ==
== Etymology ==

Latest revision as of 08:57, 21 June 2025

Interval information
Ratio 400/399
Factorization 24 × 3-1 × 52 × 7-1 × 19-1
Monzo [4 -1 2 -1 0 0 0 -1
Size in cents 4.333504¢
Name devichroma
Color name 19uryy-2,
nuruyoyo negative 2nd,
Nuruyoyo comma
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5}_{7,19} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 17.2841
Weil height (log2 max(n, d)) 17.2877
Wilson height (sopfr(nd)) 47
Comma size small
S-expression S20
Open this interval in xen-calc

400/399, the devichroma is a 19-limit (also 2.3.5.7.19 subgroup) superparticular comma of about 4.33 cents. It is the difference between undevicesimal chroma, 20/19 and large septimal chroma, 21/20, and between the subfourths 21/16 and 25/19. By tempering it out is defined the devichromic temperament, which enables the devichromic chords.

Etymology

The name devichroma was named by Xenllium in 2023. It is a contraction of undevicesimal chroma into a single word.

See also