1089/1088: Difference between revisions

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{{Infobox Interval
| Name = twosquare comma
| Comma = yes
}}
'''1089/1088''', otherwise known as the '''twosquare comma''', is an [[unnoticeable comma]] of the [[17-limit]] with a monzo of {{Monzo|-6 2 0 0 2 0 -1}}, and a value of roughly 1.59048 [[cent|cents]].  It is significant as the difference between a stack of two [[33/32]] quartertones and one [[17/16]] semitone.  Tempering it out leads to a form of '''twosquare temperament'''.
'''1089/1088''', otherwise known as the '''twosquare comma''', is an [[unnoticeable comma]] of the [[17-limit]] with a monzo of {{Monzo|-6 2 0 0 2 0 -1}}, and a value of roughly 1.59048 [[cent|cents]].  It is significant as the difference between a stack of two [[33/32]] quartertones and one [[17/16]] semitone.  Tempering it out leads to a form of '''twosquare temperament'''.


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* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
[[Category:17-limit]]
[[Category:Unnoticeable commas]]
[[Category:Superparticular]]

Revision as of 15:49, 27 October 2022

Interval information
Ratio 1089/1088
Factorization 2-6 × 32 × 112 × 17-1
Monzo [-6 2 0 0 2 0 -1
Size in cents 1.590477¢
Name twosquare comma
FJS name [math]\displaystyle{ \text{m}{-2}^{11,11}_{17} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 20.1763
Weil height (log2 max(n, d)) 20.1776
Wilson height (sopfr(nd)) 57
Comma size unnoticeable
S-expression S33
Open this interval in xen-calc

1089/1088, otherwise known as the twosquare comma, is an unnoticeable comma of the 17-limit with a monzo of [-6 2 0 0 2 0 -1, and a value of roughly 1.59048 cents. It is significant as the difference between a stack of two 33/32 quartertones and one 17/16 semitone. Tempering it out leads to a form of twosquare temperament.

See also