2187/2048
(Redirected from Apotome)
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Ratio | 2187/2048 |
Monzo | [-11 7⟩ |
Size in cents | 113.6850 |
Name(s) | apotome, Pythagorean chromatic semitone |
FJS name | A1 |
[sound info] | |
open this interval in xen-calc |
English Wikipedia has an article on:
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): 3^{7}/2^{11} = 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.
Temperament
When treated as a comma to be tempered out, it leads to apotome family of temperaments.
See also
- 4096/2187 – its octave complement
- Gallery of just intervals
- Large comma
- 5\53 is a very good approximation of the interval
- 25/24 – classic chromatic semitone