429/425

Interval information

Ratio	429/425
Factorization	3 × 5-2 × 11 × 13 × 17-1
Monzo	[0 1 -2 0 1 1 -1⟩
Size in cents	16.21777¢
Name	middle semisixthma
Color name	17u3o1ogg1, suthologugu 1sn
FJS name	[math]\displaystyle{ \text{d1}^{11,13}_{5,5,17} }[/math]
Special properties	reduced
Tenney height (log2 nd)	17.4762
Weil height (log2 max(n, d))	17.4897
Wilson height (sopfr(nd))	54
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~3.18018 bits
Comma size	small
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429/425, the middle semisixthma is a 17-limit small comma. It is the amount by which a stack consisting of 13/10 and 22/17 exceed a 5/3.

Etymology

The word semisixthma was introduced by Xenllium in 2024. It is a contraction of semisixths comma into a single word. Both 13/10 and 22/17 are interseptimal semisixth intervals, stacking two of which give a major sixth interval. The name middle semisixthma is contrast to the large semisixthma, 507/500 (the difference between two 13/10s and one 5/3) and the small semisixthma, 1452/1445 (the difference between two 22/17s and one 5/3), differing by 221/220 (minor naiadma).

See also

• 507/500 – large semisixthma
• 1452/1445 – small semisixthma