969/968: Difference between revisions

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'''969/968''', the '''kingfisher comma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 1.79 [[cent]]s. 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]].
'''969/968''', the '''kingfisher comma''' is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 1.79 [[cent]]s. 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]].


== Etymology ==
== Etymology ==
This comma was first described by [[User:Xenllium|Xenllium]] in 2023, but the name ''kingfisher comma'' was given by [[Budjarn Lambeth]] in 2025. It refers to ''LEGO Icons'' model #10331, the ''Kingfisher Bird''.
This comma was first described by [[User:Xenllium|Xenllium]] as ''buddhisma'' in 2023, but the name ''kingfisher comma'' was given by [[Budjarn Lambeth]] in 2025. It refers to ''LEGO Icons'' model #10331, the ''Kingfisher Bird''.


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

Revision as of 12:19, 15 February 2025

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 height (log2 nd) 19.8392
Weil height (log2 max(n, d)) 19.8407
Wilson height (sopfr(nd)) 67
Comma size unnoticeable
Open this interval in xen-calc

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.

Etymology

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

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

See also