1089/1088: Difference between revisions

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Make the description more specific, and include relation between 16/11 and 18/17
 
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'''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''', and enables [[twosquare chords]].
'''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 amount by which a stack of two [[33/32]] quartertones exceeds one [[17/16]] large septendecimal semitone. It is also the amount by which an octave-reduced stack of two [[16/11]] undecimal sub-fifths falls short of one [[18/17]] small septendecimal semitone. Tempering it out leads to a form of '''twosquare temperament''', and enables [[twosquare chords]].


== See also ==
== See also ==
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[[Category:Twosquare]]
[[Category:Twosquare]]
[[Category:Commas with unknown etymology]]

Latest revision as of 07:09, 29 May 2025

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
Color name 17u1oo-2, sulolo negative 2nd,
Sulolo 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 amount by which a stack of two 33/32 quartertones exceeds one 17/16 large septendecimal semitone. It is also the amount by which an octave-reduced stack of two 16/11 undecimal sub-fifths falls short of one 18/17 small septendecimal semitone. Tempering it out leads to a form of twosquare temperament, and enables twosquare chords.

See also