969/968

Revision as of 23:50, 11 January 2025 by BudjarnLambeth (talk | contribs) (Renamed because it was previously named after the anti-Muslim 969 Movement and I found that inappropriate. I proposed a few alternative names on the Discord and “kingfisher comma” was the clear favourite so kingfisher it is :))

969/968, the kingfisher comma, is a 19-limit superparticular comma of about 1.79 cents. It is the amount by which a stack consisting of 22/17 and 22/19 falls short of 3/2. By tempering it out is defined the kingfisher temperament, which enables the kingfisher chords.

Interval information
Ratio 969/968
Factorization 2-3 × 3 × 11-2 × 17 × 19
Monzo [-3 1 0 0 -2 0 1 1
Size in cents 1.787542¢
Name kingfisher comma
Color name 19o17o1uu2,
nosolulu 2nd,
Nosolulu comma
FJS name [math]\displaystyle{ \text{m2}^{17,19}_{11,11} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 19.8392
Weil norm (log2 max(n, d)) 19.8407
Wilson norm (sopfr(nd)) 67
Comma size unnoticeable
Open this interval in xen-calc

Etymology

The kingfisher comma was first described by Xenllium in 2023, but the name kingfisher comma was given by Budjarn Lambeth in 2025. It refers LEGO Icons model #10331, the Kingfisher Bird.

969 / 968 = 1.0010331 (to 7 decimal places).

See also