25/24: Difference between revisions
it's really a 17edo interval |
add more info about accuracy of 1\17 as 25/24 |
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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 == | ||