Sparkisma
(Redirected from 14400/14399)
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Ratio | 14400/14399 |
Factorization | 2^{6} × 3^{2} × 5^{2} × 7^{-1} × 11^{-2} × 17^{-1} |
Monzo | [6 2 2 -1 -2 0 -1⟩ |
Size in cents | 0.12022876¢ |
Name | sparkisma |
Color name | Sululuruyoyo comma |
FJS name | [math]\text{dd}{-2}^{5,5}_{7,11,11,17}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 27.6275 |
Weil height (log_{2} max(n, d)) | 27.6276 |
Wilson height (sopfr (nd)) | 74 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19995 bits |
Comma size | unnoticeable |
S-expression | S120 |
open this interval in xen-calc |
The sparkisma, with a ratio of 14400/14399, is an unnoticeable 17-limit superparticular comma that separates the lynchisma (120/119) and the biyatisma (121/120), as well as the amount by which a stack consisting of 7/4, 121/64 and 17/16 falls short of 225/128, the Neapolitan augmented sixth, upon octave reduction. It is also equal to the difference between (99/70)/(11/10)^{3} = 900/847 and 17/16, so because of the relation to stacking 11/10's and to the half-octave interval 99/70 one may want to temper 9801/9800 too (and possibly also S10/S11 if you want to equate (11/10)^{3} with 4/3). Tempering this out in the full 17-limit results in the sparkismic temperament, or in the 2.3.5.7.11.17 subgroup, the spark temperament.