55/54

Interval information

Ratio

55/54

Factorization

2^-1 × 3^-3 × 5 × 11

Monzo

[-1 -3 1 0 1⟩

Size in cents

31.76665¢

Names

undecimal diasecundal comma,
eleventyfive comma,
telepathma

Color name

1oy1 = loyo 1sn

FJS name

[math]\displaystyle{ \text{P1}^{55} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

11.5362

Weil height (log₂ max(n, d))

11.5627

Wilson height (sopfr(nd))

27

Open this interval in xen-calc

55/54, the undecimal diasecundal comma, otherwise known as the eleventyfive comma or the telepathma, is an 11-limit superparticular interval that marks the difference between the classic minor third (6/5) and the undecimal neutral third (11/9), between the classic major third (5/4) and the rastmic neutral third (27/22), as well as the difference between the keenanismic supermajor sixth (55/32) and the Pythagorean major sixth (27/16). This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. EDOs that temper out this interval include 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66.

When treated as an interval in its own right, it acts as a sort of subchroma, much like 33/32, from which it differs by a syntonic comma. Tempering out the lehmerisma equates this interval with 56/55, splitting the 28/27 septimal chroma into two equal halves. Furthermore, when the keenanisma is tempered out, 55/54 is equated with 64/63, and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.

55/54

See also