2187/2048: Difference between revisions
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[[Category: 3-limit]] | [[Category: 3-limit]] | ||
[[Category: Large comma]] | |||
[[Category: Interval]] | [[Category: Interval]] | ||
[[Category: Interval ratio]] | [[Category: Interval ratio]] | ||
[[Category: Pythagorean]] | [[Category: Pythagorean]] | ||
[[Category: Semitone]] | [[Category: Semitone]] | ||
Revision as of 12:30, 13 September 2020
| Interval information |
Pythagorean chromatic semitone
reduced harmonic
[sound info]
The apotome, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 37/211 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of 256/243. It measures about 113.7¢ and can be generated by stacking seven 3/2 perfect fifths and octave-reducing the resulting interval.