Sparkisma
(Redirected from 14400/14399)
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| Ratio | 14400/14399 |
| Factorization | 26 × 32 × 52 × 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 (log2 nd) | 27.6275 |
| Weil height (log2 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.