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The '''Pythagorean limma''', or '''Pythagorean diatonic semitone''', is the interval of size 256/243 = 2<sup>8</sup>/3<sup>5</sup> (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. | The '''Pythagorean limma''', or '''Pythagorean diatonic semitone''', is the interval of size 256/243 = 2<sup>8</sup>/3<sup>5</sup> (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. | ||
When this interval is treated as a comma to be tempered out, [[blackwood]] temperament is the result. | |||
== See also == | == See also == | ||
Revision as of 19:56, 20 January 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.
When this interval is treated as a comma to be tempered out, blackwood temperament is the result.
See also
- Gallery of Just Intervals
- Medium commas
- 5edo, 10edo, 15edo, 20edo, 25edo and 30edo, which temper it out.
- 4\53 is a very good approximation of the interval