Sparkisma

Interval information

Ratio	14400/14399
Factorization	26 × 32 × 52 × 7-1 × 11-2 × 17-1
Monzo	[6 2 2 -1 -2 0 -1⟩
Size in cents	0.1202288¢
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
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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.

See also

• Unnoticeable comma