2187/2048: Difference between revisions
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added main lemma, reworked accordingly, added see-also links |
m "Chroma" seems a good category for augmented unisons |
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* [[Large commas]] | * [[Large commas]] | ||
[[Category: 3-limit]] | [[Category:3-limit]] | ||
[[Category: Interval]] | [[Category:Interval]] | ||
[[Category: Interval ratio]] | [[Category:Interval ratio]] | ||
[[Category: Pythagorean]] | [[Category:Large comma]] | ||
[[Category: Semitone]] | [[Category:Pythagorean]] | ||
[[Category: | [[Category:Semitone]] | ||
[[Category:Chroma]] | |||
[[Category:Apotomic]] | |||
Revision as of 10:38, 9 October 2020
| Interval information |
Pythagorean chromatic semitone
reduced harmonic
[sound info]
2187/2048, the apotome, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the chromatic semitone in the Pythagorean tuning. It is the 3-limit interval between seven perfect just fifths (3/2) and four octaves (2/1): 37/211 = 2187/2048, and measures about 113.7¢. 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.