17/14

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 17/14
Factorization 2-1 × 7-1 × 17
Monzo [-1 0 0 -1 0 0 1
Size in cents 336.1295¢
Name septendecimal supraminor third
Color name 17or3, soru 3rd
FJS name [math]\text{m3}^{17}_{7}[/math]
Special properties reduced
Tenney height (log2 nd) 7.89482
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr (nd)) 26
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2396 bits

[sound info]
open this interval in xen-calc

In 17-limit just intonation, 17/14 is the septendecimal supraminor third measuring about 336.1¢. It is the mediant between 6/5 and 11/9, as it is (6+11)/(5+9). A 14:17:21 root-3rd-P5 triad can be built with 17/14 as the bottom third and 21/17 as the top third. This may thus represent a septendecimal "shading" of a minor triad.

See also