256/243: Difference between revisions
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== Temperament == | == Temperament == | ||
When this ratio is taken as a comma to be tempered, it produces [[blackwood]] temperament. Edos tempering it out include [[5edo]], [[10edo]], [[15edo]], [[20edo]], [[25edo]] and [[30edo]]. | When this ratio is taken as a comma to be tempered (and the starting [[JI subgroup]] is the [[5-limit]]), it produces [[blackwood]] temperament. Edos tempering it out include [[5edo]], [[10edo]], [[15edo]], [[20edo]], [[25edo]] and [[30edo]]. | ||
== See also == | == See also == | ||
Revision as of 04:04, 21 May 2021
| Interval information |
Pythagorean diatonic semitone
reduced subharmonic
[sound info]
The Pythagorean limma, or Pythagorean diatonic semitone, is the interval of size 256/243 = 28/35 (about 90.2¢), which is the diatonic semitone in Pythagorean tuning. It can be generated by stacking five 4/3 just perfect fourths and octave-reducing the resulting interval.
Temperament
When this ratio is taken as a comma to be tempered (and the starting JI subgroup is the 5-limit), it produces blackwood temperament. Edos tempering it out include 5edo, 10edo, 15edo, 20edo, 25edo and 30edo.
See also
- 243/128 – its octave complement
- 729/512 – its fifth complement
- Gallery of just intervals
- Medium comma
- Pythagorean tuning
- 4\53 is a very good approximation of the interval