Tridecimal eighth-octave comma
(Redirected from 17303/17280)
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| Ratio | 17303/17280 |
| Factorization | 2-7 × 3-3 × 5-1 × 113 × 13 |
| Monzo | [-7 -3 -1 0 3 1⟩ |
| Size in cents | 2.3027724¢ |
| Name | Tridecimal eighth-octave comma |
| Color name | 3o1o3g1 thotrilo-agu unison |
| FJS name | [math]\text{dd1}^{11,11,11,13}_{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 28.1556 |
| Weil height (log2 max(n, d)) | 28.1575 |
| Wilson height (sopfr(nd)) | 74 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.24851 bits |
| Comma size | unnoticeable |
| S-expression | S11 / S12 |
| open this interval in xen-calc | |
17303/17280, the tridecimal eighth-octave comma, is an unnoticable comma that is the difference between three 12/11 neutral seconds and a 13/10 supermajor third. It is tempered out in low EDOs that are a multiple of 8, along with 214990848/214358881 and 815830271/800000000, defining various 8th-octave temperaments. However, that's not all, as it is also tempered out in EDOs such as 159edo.