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. |
| 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.