apotome definition

  • noun:
    • The difference between two volumes commensurable just in power, as between 1 and the square-root of 2, or amongst the diagonal and part of a square.
    • the rest of the section of an entire tone after a smaller sized semitone is deducted as a result; a major semitone.
    • the essential difference between two amounts commensurable only in power, as between √2 and 1, or amongst the diagonal and side of a square.
    • the rest of the section of an entire tone after an inferior semitone has-been subtracted as a result; a significant semitone.
    • In mathematics, a term used by Euclid to denote a straight range the distinction between two straight lines which can be logical (in Euclid's feeling, this is certainly, are generally commensurable with the unit line, or have their particular squares commensurable using square regarding the unit line) and therefore are commensurable in power only (this is certainly, have actually their squares commensurable, but are by themselves incommensurable).
    • into the Pythagorean music system, the more for the two half tips or semitones into which the whole-step or whole-tone is divided. Its vibration-ratio is 2187/2048.
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