Syntonisma

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Interval information
Ratio 83886080000000/83881572334857
Factorization 230 × 3-27 × 57 × 11-1
Monzo [30 -27 7 0 -1
Size in cents 0.093031324¢
Name syntonisma
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{n\cdot d}[/math])
~2.39753 bits
Comma size unnoticeable
open this interval in xen-calc
Not to be confused with Syntonic comma.

The syntonisma 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.