Zudilisma

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Interval information

Ratio	68630377364883/68630356164608
Subgroup monzo	2.3.7.23.397 [-30 29 -1 -1 -1⟩
Size in cents	0.00053478714¢
Name	Zudilisma
Color name	L4397u23ur-5
FJS name	[math]\text{dddd}{-4}_{7,23,397}[/math]
Special properties	reduced
Tenney height (log2 nd)	91.9278
Weil height (log2 max(n, d))	91.9278
Wilson height (sopfr(nd))	574
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.19982 bits
Comma size	unnoticeable
open this interval in xen-calc

68630377364883/68630356164608, the Zudilisma, is a 2.3.7.23.397 subgroup ratio which is the difference between 127834/1 and a stack of 29 3/2.

It appears in the sequence of numbers where the fractional part of 1.5^n gets progressively closer to an integer than for any number before it - sequence A1267122 in OEIS. Said sequence was described by Zudilin, hence the name of the ratio.

If this ratio is taken as a comma to be tempered out, it will produce a temperament that very closely approximates Pythagorean tuning and, in diatonic notation, maps 63917/32768 as C - Cxx.