Syntonisma
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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 |
open this interval in xen-calc |
- 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.