25ed4: Difference between revisions

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== Theory ==
== Theory ==
We could have 12edo with a quarter note, like with 1.5edo, where the 2nd note is the same as the 3rd in 4edo or we could squish the notes and fit in something else.
On the surface, 25ed4 seems fairly similar to [[12edo]]. Its step is 96¢, its perfect 5th is actually quite flat at 672¢ (but still 7 steps), but it has an excellent [[5/4]] at 4 steps (384¢). However, try to map this to a 12edo keyboard and you will run into multiple issues. First, the octave is WAY out. 12\25ed4 is 1152¢. Second, the best fifth of 25edo is only found up an octave. Third, 24≠25, so double octaves don't work unless you use some isomorphic keyboard.
 
Here are some important ratios and their relative errors in 25ed4.
 
3/1: 18.8%
 
3/2: -31.2%
 
4/3: -18.8%
 
5/4: -2.4%


== Intervals ==
== Intervals ==