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This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex or chosen arbitrarily.

Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations or conceptual frameworks.

Interval information
Ratio 68630377364883/68630356164608
Subgroup monzo [-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{n\cdot d}[/math])
~2.3983 bits
Comma size unnoticeable
open this interval in xen-calc

68630377364883/68630356164608, the Zudilisma, is a 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.