-
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...
- 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...
-
Apotome may
refer to:
Apotome (mathematics) a
mathematical term used by Euclid.
Apotome (music)
Apotome (optics) used for
increasing axial resolution...
-
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...
-
square roots in this
manner yields the
Spiral of
Theodorus depicted above.
Apotome (mathematics) Cube root
Functional square root
Integer square root Nested...
-
interval Subminor and
supermajor Semitones Pythagorean limma Pythagorean apotome Major limma Quarter tones Quarter tone
Septimal quarter tone Undecimal...
-
augmented unison or
augmented prime A1
chromatic semitone,
minor semitone apotome (2187:2048) 2
major second M2 tone,
whole tone,
whole step sesquioctavum...
- ****igning the
medial lines to geometry, the
binomial to arithmetic, and the
apotome to harmony, as is
stated by Eudemus, the Peripatetic. The term "mean" (μεσότης...
