25ed4: Difference between revisions
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'''25ed4''' is the [[Ed4|equal division of the double octave]] into 25 parts of exactly 96 [[cent|cents]] each (every second step of [[25edo]]). It corresponds to 12.5edo and is notable as a type of compressed [[12edo]]. | |||
== Theory == | |||
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 == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 25 | |||
| num = 4 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 25 | |||
| num = 4 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== Examples of usage == | |||
* "CRAZY WEIRD TUNING" by Andy Chamberlain - https://www.youtube.com/watch?v=Y3Cr9boR06k | |||
{{stub}} | |||