11/10
| Ratio | 11/10 |
| Factorization | 2-1 × 5-1 × 11 |
| Monzo | [-1 0 -1 0 1⟩ |
| Size in cents | 165.00423¢ |
| Names | large undecimal neutral second, undecimal submajor second |
| Color name | 1og2, logu 2nd |
| FJS name | [math]\text{m2}^{11}_{5}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 6.78136 |
| Weil height (log2 max(n, d)) | 6.91886 |
| Wilson height (sopfr (nd)) | 18 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.57936 bits |
[sound info] | |
| open this interval in xen-calc | |
11/10, the large undecimal neutral second or undecimal submajor second, is an interval favored by Ptolemy.
Approximation
11/10 is approximated extremely precisely by 80edo and its multiples, with a chain of 80 11/10's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience.
Temperaments
11/10 is treated as a comma in edos 1, 2, 3, 5, and some very low accuracy temperaments such as antietam. If it is used as a generator instead, it produces porcupine, although it is slightly sharper than the optimal tuning for porcupine and does not fit the 80edo patent val mapping.
Trivia
Coincidentally, the interval between the most common tuning frequency (A440) and the second most common AC electrical frequency (50 Hz) is exactly 44/5, or three octaves above an 11/10.