Rodan comma
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Ratio | 131072000/129140163 |
Factorization | 220 × 3-17 × 53 |
Monzo | [20 -17 3⟩ |
Size in cents | 25.706127¢ |
Names | rodan comma, roda |
Color name | sasa-triyo 2nd, ssy32 |
FJS name | [math]\text{m2}^{5,5,5}[/math] |
Special properties | reduced |
Tenney height (log2 nd) | 53.9101 |
Weil height (log2 max(n, d)) | 53.9316 |
Wilson height (sopfr(nd)) | 106 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.28325 bits |
Comma size | small |
open this interval in xen-calc |
The rodan comma (monzo: [20 -17 3⟩, ratio: 131072000/129140163), otherwise known as the roda, is a small 5-limit comma of about 25.7 cents. It is the difference between the Pythagorean diatonic semitone (256/243) and a stack of three syntonic commas. Tempering it out leads to the 5-limit version of rodan.