Garischisma

From Xenharmonic Wiki
(Redirected from 33554432/33480783)
Jump to navigation Jump to search
Interval information
Ratio 33554432/33480783
Monzo [25 -14 0 -1
Size in cents 3.8041
Name(s) garischisma,
septimal schisma
Color name ssr2, sasaru 2nd
FJS name d27
open this interval in xen-calc

The garischisma or septimal schisma is a 7-limit comma measuring about 3.80 cents. While the schisma is the difference between the Pythagorean comma and the syntonic comma, the garischisma, in contrast, is the difference between the Pythagorean comma and the septimal comma. It can also be described as the difference between the septimal whole tone and two apotomes.

Temperaments

Tempering it out in the full 7-limit leads to the rank-3 garischismic temperament.

Garischismic (41 & 53 & 270)

Subgroup: 2.3.5.7

Comma list: 33554432/33480783

Mapping: [1 0 0 25], 0 1 0 -14], 0 0 1 0]]

POTE generators: ~3/2 = 702.2079, ~5/4 = 386.5100

Optimal GPV sequence12, 29, 41, 53, 94, 164, 176, 217, 229, 270, 593, 863, 1133, 1996d, 2037, 2307, 2900bd, 3170bd, 4303bcd

Badness: 1.313 × 10-3

See also