2187/2048: Difference between revisions

| FJS name = A1

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'''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]].

* [[Large comma]]

* [[53edo|5\53]] is a very good approximation of the interval

[[Category:3-limit]]

[[Category:Large comma]]

[[Category:Chroma]]

[[Category:Apotomic]]