25/24: Difference between revisions
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The '''classic chromatic semitone''' (short: '''chroma'''), '''25/24''', 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, [[6/5]] and [[5/4]], and sixths, [[8/5]] and [[5/3]]. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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. If it is treated as a comma to be tempered out, you remove the distinction between major & minor thirds and get only a single neutral interval in their place as in [[dicot family]], and edos like [[10edo]] or [[17edo]]. | The '''classic chromatic semitone''' (short: '''chroma'''), '''25/24''', 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, [[6/5]] and [[5/4]], and sixths, [[8/5]] and [[5/3]]. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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. If it is treated as a comma to be tempered out, you remove the distinction between major & minor thirds and get only a single neutral interval in their place as in [[dicot family]], and edos like [[10edo]] or [[17edo]]. | ||
It is very accurately approximated by 17edo's 1\17 (70.588¢). | It is very accurately approximated by 17edo's 1\17 (70.588¢). In fact, a chain of seventeen 25/24 chromatic semitones is only 1.428¢ flat of the octave. | ||
== See also == | == See also == | ||
Revision as of 23:15, 20 April 2021
| Interval information |
chroma
reduced
[sound info]
The classic chromatic semitone (short: chroma), 25/24, 70.672 cents, is the superparticular ratio which marks the difference between the 5-limit thirds, 6/5 and 5/4, and sixths, 8/5 and 5/3. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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. If it is treated as a comma to be tempered out, you remove the distinction between major & minor thirds and get only a single neutral interval in their place as in dicot family, and edos like 10edo or 17edo.
It is very accurately approximated by 17edo's 1\17 (70.588¢). In fact, a chain of seventeen 25/24 chromatic semitones is only 1.428¢ flat of the octave.
See also
- 36/25 – its fifth complement
- 48/25 – its octave complement
- Dicot family, which tempers it out
- Gallery of just intervals
- Medium comma
- List of superparticular intervals
- Chroma – a generalising concept for MOS scales
- Pythagorean chromatic semitone