7777/7776

Interval information

Ratio	7777/7776
Subgroup monzo	2.3.7.11.101 [-5 -5 1 1 1⟩
Size in cents	0.2226238¢
Name	power of 6 repdigit comma
FJS name	[math]\displaystyle{ \text{d2}^{7,11,101} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	25.8498
Weil height (log2 max(n, d))	25.85
Wilson height (sopfr(nd))	144
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7777/7776, the power of 6 repdigit comma or pulsar comma is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.

The comma derives from the resemblance of a perfect power of 6, 7776, to a repdigit number 7777. It is the difference between a stack of 5 hexataves and 7, 11, and 101 harmonics stacked, or when octave-reduced, between 7/4, 11/8, and 101/64 and the Pythagorean major seventh, 243/128. It is also the difference between 404/243 and 128/77.

The name origin is the following: power of six repdigit - psr, which is the astronomical shortening for pulsars.

Temperaments

Tempering it out leads to the stellar remnant clan of temperaments, the core of which is the 2.3.7.11.101 subgroup. Some of the EDOs which support pulsar temperaments are 135, 342, 207, 1012, 477, 1147, 971, 270, 836, 877. Note that 270edo is a multiple of 135edo.

135 & 836

Proposed name: White dwarf

Subgroup: 2.3.7.11.101

Mapping: ⟨⟨1 -4 3 5 -23]], ⟨⟨0 29 -1 -8 154]]

POTE Generator: 231.1022c ~8/7