513/512
Jump to navigation
Jump to search
| Ratio | 513/512 |
| Monzo | [-9 3 0 0 0 0 0 1⟩ |
| Size in cents | 3.37802 |
| Name(s) | undevicesimal comma, undevicesimal schisma, Boethius' comma |
| FJS name | P119 |
513/512, the undevicesimal comma, undevicesimal schisma or Boethius' comma, is a 19-limit (also 2.3.19 subgroup) unnoticeable comma. It is the amount by which 19/16 exceeds the Pythagorean minor third (32/27). By tempering it out is defined the boethius temperament, which enables the boethius chords. It is significant in Functional Just System and Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval.