Syntonisma
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Ratio | 83886080000000/83881572334857 |
Factorization | 2^{30} × 3^{-27} × 5^{7} × 11^{-1} |
Monzo | [30 -27 7 0 -1⟩ |
Size in cents | 0.093031324¢ |
Name | syntonisma |
Color name | s^{3}1uy^{7}2, 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 (log_{2} nd) | 92.5069 |
Weil height (log_{2} 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 2^{30} × 3^{-27} × 5^{7} × 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.