25/24: Difference between revisions
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| Monzo = -3 -1 2 | | Monzo = -3 -1 2 | ||
| Cents = 70.67243 | | Cents = 70.67243 | ||
| Name = classic chromatic semitone, <br>chroma | | Name = classic/just chromatic semitone, <br>chroma | ||
| Color name = | | Color name = | ||
| FJS name = A1<sup>25</sup> | | FJS name = A1<sup>25</sup> | ||
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'''25/24''', the '''classic''' or '''just chromatic semitone''' (short: '''chroma'''), 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. | |||
== 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 == | == Temperaments == | ||
If | 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 == | == See also == | ||
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[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Third tone]] | [[Category:Third tone]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Pages with internal sound examples]] | |||
Revision as of 13:53, 9 September 2021
| Interval information |
chroma
reduced
[sound info]
25/24, the classic or just chromatic semitone (short: chroma), 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.
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