89/88

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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 89/88
Subgroup monzo 2.11.89 [-3 -1 1
Size in cents 19.562175¢
Name sky comma
Color name 89o1u1
FJS name [math]\text{A1}^{89}_{11}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 12.9352
Weil height (log2 max(n, d)) 12.9515
Wilson height (sopfr(nd)) 106
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.70093 bits
Comma size small
open this interval in xen-calc

89/88, a.k.a. the sky comma, is an 89-limit superparticular comma tempered out by two of the Batch 89 temperaments. Tempering out this comma equates the harmonics 11/8 and 89/64.

Tempering this comma on its own gives the sky temperament, a 2.11.89 subgroup temperament.

It is very well approximated by 1 step of 36edf.