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]]. In terms of commas, it is the difference between [[243/242]] and [[324/323]], [[513/512]] and [[1089/1088]], among other relations.


== Etymology ==
== Etymology ==
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''.
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).
Before that, [[User:Xenllium|Xenllium]] named this comma ''buddhisma'' in 2023.


== See also ==
== See also ==

Revision as of 12:45, 10 March 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. In terms of commas, it is the difference between 243/242 and 324/323, 513/512 and 1089/1088, among other relations.

Etymology

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).

Before that, Xenllium named this comma buddhisma in 2023.

See also