25/24

Revision as of 19:43, 14 June 2020 by Xenwolf (talk | contribs) (reworked)
Interval information
Ratio 25/24
Factorization 2-3 × 3-1 × 52
Monzo [-3 -1 2
Size in cents 70.67243¢
Names 5-limit chromatic semitone,
chroma
FJS name [math]\displaystyle{ \text{A1}^{5,5} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 9.22882
Weil norm (log2 max(n, d)) 9.28771
Wilson norm (sopfr(nd)) 19

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The 5-limit 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.

See also