25/24: Difference between revisions

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If used as a comma rather than an interval, a la 16/15 in Father scales.
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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.
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 [[10edo]] or [[17edo]]


== See also ==
== See also ==

Revision as of 19:22, 23 November 2020

Interval information
Ratio 25/24
Factorization 2-3 × 3-1 × 52
Monzo [-3 -1 2
Size in cents 70.67243¢
Names classic chromatic semitone,
chroma
FJS name [math]\displaystyle{ \text{A1}^{25} }[/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

[sound info]
Open this interval in xen-calc

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 10edo or 17edo

See also