Septendecima
Jump to navigation
Jump to search
| Ratio | 582 076 609 134 674 072 265 625 / 581 595 589 965 365 114 830 848 |
| Factorization | 2-52 × 3-17 × 534 |
| Monzo | [-52 -17 34⟩ |
| Size in cents | 1.4312567¢ |
| Name | septendecima |
| Color name | LLy34-8, lala-sebiyo negative octave |
| FJS name | [math]\text{17d}{-8}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 157.89 |
| Weil height (log2 max(n, d)) | 157.891 |
| Wilson height (sopfr (nd)) | 325 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.40683 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
The septendecima (monzo: [-52 -17 34⟩) is a 5-limit unnoticeable comma. It represents the difference between a stack of seventeen 25/24 intervals and one octave, and tempering it out means that 25/24 equal-step tuning is equated with 17edo. Therefore, a temperament must be divisible by 17 in order to temper out this comma, any edo such as 311edo, which isn't a multiple of 17 cannot be tempering out the 25/24 kleisma.