Definition of Apotome. Meaning of Apotome. Synonyms of Apotome

Here you will find one or more explanations in English for the word Apotome. Also in the bottom left of the page several parts of wikipedia pages related to the word Apotome and, of course, Apotome synonyms and on the right images related to the word Apotome.

Definition of Apotome

Apotome
Apotome A*pot"o*me, n. [Gr. ? a cutting off, fr. ? to cut off; ? from + ? to cut.] 1. (Math.) The difference between two quantities commensurable only in power, as between [root]2 and 1, or between the diagonal and side of a square. 2. (Mus) The remaining part of a whole tone after a smaller semitone has been deducted from it; a major semitone. [Obs.]

Meaning of Apotome from wikipedia

- Apotome may refer to: Apotome (mathematics) a mathematical term used by Euclid. Apotome (music) Apotome (optics) used for increasing axial resolution...
- In the historical study of mathematics, an apotome is a line segment formed from a longer line segment by breaking it into two parts, one of which is...
- other five are chromatic, with ratio 2187:2048 or 113.7 cents (Pythagorean apotome); they differ by the Pythagorean comma of ratio 531441:524288 or 23.5 cents...
- Pythagorean comma can be also defined as the difference between a Pythagorean apotome and a Pythagorean limma (i.e., between a chromatic and a diatonic semitone...
- and the limma is the major semitone or apotome ("part cut off") of 2187/2048. Although the limma and the apotome are both represented by one step of 12-pitch...
- (Pythagorean limma) and 2187⁄2048 is a chromatic semitone (Pythagorean apotome). The chromatic scale in Pythagorean tuning can be tempered to the 17-EDO...
- interval Subminor and supermajor Semitones Pythagorean limma Pythagorean apotome Major limma Quarter tones Quarter tone Septimal quarter tone Undecimal...
- square roots in this manner yields the Spiral of Theodorus depicted above. Apotome (mathematics) Cube root Functional square root Integer square root Nested...
- augmented unison or augmented prime A1 chromatic semitone, minor semitone apotome (2187:2048) 2 major second M2 tone, whole tone, whole step sesquioctavum...
- semitone,  16 / 15 (play). Although closer in size to the Pythagorean apotome than to the limma, it has been so called because of its function as a diatonic...