Quartisma
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Ratio | 117440512/117406179 |
Factorization | 2^{24} × 3^{-6} × 7 × 11^{-5} |
Monzo | [24 -6 0 1 -5⟩ |
Size in cents | 0.50618945¢ |
Name | quartisma |
Color name | Saquinlu-azo comma |
FJS name | [math]\text{m3}^{7}_{11,11,11,11,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 53.6143 |
Weil height (log_{2} max(n, d)) | 53.6147 |
Wilson height (sopfr (nd)) | 128 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.20061 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
The quartisma is an unnoticeable 11-limit comma with a ratio of 117440512/117406179 and a value of approximately 0.5 cents. The quartisma is significant on account of it being the interval between a stack of five 33/32 quartertones and one 7/6 subminor third in Just Intonation- this significance in relation to quartertones being the source of its name. Tempering it out leads to a form of quartismic temperament. For a list of such temperaments, see The Quartercache.