25/24
| Interval information |
chroma
reduced
[sound info]
25/24, the classic or just chromatic semitone (short: chroma), 70.672 ¢, is the superparticular ratio which marks the difference between the 5-limit seconds, 16/15 and 10/9, 27/25 and 9/8, thirds, 6/5 and 5/4, sixths, 8/5 and 5/3, and sevenths, 16/9 and 50/27, and 9/5 and 15/8 . It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the 81/80 comma, it can be used for a complete system of 5-limit notation.
Approximation
25/24 is very accurately approximated by 17edo's 1\17 (70.588 ¢). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the septendecima, only 1.428 ¢ in size.
Temperaments
If 25/24 is treated as a comma to be tempered out, you remove the distinction between major and minor thirds and get only a single neutral interval in their place as in dicot family, and edos like 10edo or 17edo.
See also
- 36/25 – its fifth complement
- 48/25 – its octave complement
- Dicot family, where it is tempered out
- Gallery of just intervals
- Medium comma
- List of superparticular intervals
- Chroma – a generalising concept for MOS scales
- 2187/2048 – the Pythagorean chromatic semitone
- Sqrt(25/24) – its exact half