1089/1088

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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.22187 bits
Comma size	unnoticeable
S-expression	S33
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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

• Unnoticeable comma
• List of superparticular intervals