# Blare comma

 Factorization 2-51 × 3-24 × 712 × 1116 Monzo [-51 -24 0 12 16⟩ Size in cents 0.077934696¢ Name blare comma Color name Laquadquadlo-aquadtrizo comma FJS name $-$ Special properties reduced Tenney height (log2 nd) 178.078 Weil height (log2 max(n, d)) 178.078 Wilson height (sopfr (nd)) 434 Harmonic entropy(Shannon, $\sqrt{nd}$) ~1.19987 bits Comma size unnoticeable open this interval in xen-calc

The blare comma is an unnoticeable 11-limit comma in the 2.9.7.11 subgroup, with a size of only 0.078 cents. It is the interval in which twelve 9/7 septimal major thirds plus three octaves fall short by sixteen 11/8 undecimal major fourths.

It is named in analogy with the industrial theme of 2.9.7.11 subgroup temperaments, "blare" being a word used to describe the loud and piercing noise of machines.

## Temperaments

### Loudspeaker

Tempering out this interval in the 2.9.7.11 subgroup leads to the loudspeaker family of microtemperaments.

#### Rank-3

##### Loudspeaker

Subgroup: 2.9.7.11

Comma list: [-51 -12 12 16

Sval mapping[4 12 13 12], 0 1 1 0], 0 0 -4 3]]

• CTE: ~[13 3 -3 -4 = 1\4 = 300.000, ~9/8 = 203.912, ~[16 4 -4 -5 = 183.772

Optimal ET sequence20, 32[+9], 52, 72, 124, 300, 424, 516, 536, 588, 640, 660, 712, 764, 836, 888, 960, 1012, 1848, 4708, 6556, 11264, 17820, 18708, 21568, 29972, 34680, 41256, 71208, 183652[-9], 254860[-9]