Syntonisma

Interval information

Ratio	83886080000000/83881572334857
Factorization	230 × 3-27 × 57 × 11-1
Monzo	[30 -27 7 0 -1⟩
Size in cents	0.093031324¢
Names	syntonisma, syntonic schisma
Color name	s31uy72, Trisa-lusepyo comma, Trisa-lusepyo 2nd
FJS name	[math]\text{M2}^{5,5,5,5,5,5,5}_{11}[/math]
Special properties	reduced
Tenney height (log2 nd)	92.5069
Weil height (log2 max(n, d))	92.507
Wilson height (sopfr(nd))	187
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.1999 bits
Comma size	unnoticeable
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Not to be confused with Syntonic comma.

The syntonisma or syntonic schisma is an unnoticeable 11-limit comma with a ratio of 2³⁰ × 3^-27 × 5⁷ × 11^-1 = 83886080000000/83881572334857 and a value of approximately 0.093 cents. The syntonisma is significant on account of it being the interval between a stack of seven syntonic commas and one 12/11 neutral second in Just Intonation - this significance in relation to syntonic comma being the source of its name. Tempering it out leads to a form of syntonismic temperament.