28/25

From Xenharmonic Wiki

Jump to navigation Jump to search

Interval information

Ratio

28/25

Factorization

2² × 5^-2 × 7

[2 0 -2 1⟩

Size in cents

196.1985¢

Names

(septimal) middle major second,
(septimal) middle whole tone

zgg3, zogugu 3rd

[math]\text{d3}^{7}_{5,5}[/math]

Special properties

Tenney height (log₂ nd)

9.45121

Weil height (log₂ max(n, d))

9.61471

Wilson height (sopfr(nd))

21

Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])

~4.20212 bits

open this interval in xen-calc

28/25, the (septimal) middle whole tone, is the interval between 5/4 and 7/5, and is intermediate in size between 10/9, of which it is 126/125 sharp, and 9/8, of which it is 225/224 flat. It's actually the mediant of 19/17 and 9/8. A meantone where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099 ¢.

See also

Retrieved from "https://en.xen.wiki/index.php?title=28/25&oldid=98167"