Diaschisma
(Redirected from 2048/2025)
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| Ratio | 2048/2025 |
| Monzo | [11 -4 -2⟩ |
| Size in cents | 19.55257 |
| Name(s) | diaschisma |
| FJS name | d225 |
2048/2025, the diaschisma, an interval of 19.553 cents, is the difference between four perfect fifths plus two major thirds and three octaves. Tempering it out leads to the diaschismic family of temperaments. It may also be defined as the difference between a Pythagorean minor seventh (16/9) and a just augmented sixth (225/128), as the difference between two classic diatonic semitones (16/15) and the major whole tone (9/8), that is, (9/8)/(16/15)2, or as the difference between the 5-limit tritone 45/32 and its enharmonic equivalent 64/45.